Details

analyze1.4s (6.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

892×	`times-frac_binary64_16452`
518×	`div-sub_binary64_16451`
490×	`unsub-neg_binary64_16440`
323×	`distribute-rgt-in_binary64_16396`
321×	`distribute-lft-in_binary64_16395`
317×	`sub-neg_binary64_16439`
226×	`distribute-rgt-neg-out_binary64_16406`
196×	`associate-+l+_binary64_16379`
184×	`associate-+r+_binary64_16378`
171×	`*-commutative_binary64_16377`
149×	`cancel-sign-sub-inv_binary64_16412`
144×	`distribute-neg-in_binary64_16407`
133×	`neg-sub0_binary64_16441`
118×	`distribute-frac-neg_binary64_16409`
112×	`associate-r_binary64_16386`
109×	`associate-l_binary64_16387`
103×	`neg-mul-1_binary64_16442`
99×	`+-commutative_binary64_16376`
75×	`distribute-neg-out_binary64_16408`
64×	`associate-/r/_binary64_16392`
55×	`distribute-neg-frac_binary64_16410` `distribute-lft-neg-out_binary64_16405`
46×	`associate-*l/_binary64_16389`
39×	`associate-+l-_binary64_16381` `associate-+r-_binary64_16380`
38×	`div0_binary64_16427`
34×	`mul0-rgt_binary64_16429` `mul0-lft_binary64_16428`
29×	`distribute-rgt-neg-in_binary64_16404`
28×	`associate--r+_binary64_16382`
25×	`sub0-neg_binary64_16433`
22×	`associate-/l_binary64_16391` `associate-r/_binary64_16388`
21×	`distribute-lft-neg-in_binary64_16403`
15×	`mul-1-neg_binary64_16438`
14×	`associate--r-_binary64_16385`
13×	`remove-double-neg_binary64_16434`
5×	`+-rgt-identity_binary64_16431`
1×	`1-exp_binary64_16490`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_16709` `erf-erfc_binary64_16708` `erf-odd_binary64_16707` `if-if-and-not_binary64_16706` `if-if-and_binary64_16705` `if-if-or-not_binary64_16704` `if-if-or_binary64_16703` `if-not_binary64_16702` `if-same_binary64_16701` `if-false_binary64_16700` `if-true_binary64_16699` `not-gte_binary64_16698` `not-lte_binary64_16697` `not-gt_binary64_16696` `not-lt_binary64_16695` `gte-same_binary64_16694` `lte-same_binary64_16693` `gt-same_binary64_16692` `lt-same_binary64_16691` `sinh---cosh_binary64_16638` `sinh-+-cosh_binary64_16637` `sinh-cosh_binary64_16636` `tanh-def-c_binary64_16635` `tanh-def-b_binary64_16634` `tanh-def-a_binary64_16633` `cosh-def_binary64_16632` `sinh-def_binary64_16631` `tan-neg_binary64_16578` `cos-neg_binary64_16577` `sin-neg_binary64_16576` `tan-0_binary64_16575` `cos-0_binary64_16574` `sin-0_binary64_16573` `hang-m-tan_binary64_16572` `hang-p-tan_binary64_16571` `hang-m0-tan_binary64_16570` `hang-p0-tan_binary64_16569` `hang-0m-tan_binary64_16568` `hang-0p-tan_binary64_16567` `tan-+PI/2_binary64_16566` `tan-+PI_binary64_16565` `tan-PI_binary64_16564` `tan-PI/3_binary64_16563` `tan-PI/4_binary64_16562` `tan-PI/6_binary64_16561` `cos-+PI/2_binary64_16560` `cos-+PI_binary64_16559` `cos-PI_binary64_16558` `cos-PI/2_binary64_16557` `cos-PI/3_binary64_16556` `cos-PI/4_binary64_16555` `cos-PI/6_binary64_16554` `sin-+PI/2_binary64_16553` `sin-+PI_binary64_16552` `sin-PI_binary64_16551` `sin-PI/2_binary64_16550` `sin-PI/3_binary64_16549` `sin-PI/4_binary64_16548` `sin-PI/6_binary64_16547` `sub-1-sin_binary64_16546` `sub-1-cos_binary64_16545` `-1-add-sin_binary64_16544` `-1-add-cos_binary64_16543` `1-sub-sin_binary64_16542` `1-sub-cos_binary64_16541` `cos-sin-sum_binary64_16540` `log-E_binary64_16536` `log-pow_binary64_16535` `log-rec_binary64_16534` `log-div_binary64_16533` `log-prod_binary64_16532` `pow-base-0_binary64_16530` `unpow1/3_binary64_16513` `unpow3_binary64_16512` `unpow2_binary64_16511` `unpow1/2_binary64_16510` `pow-plus_binary64_16509` `exp-to-pow_binary64_16508` `pow-base-1_binary64_16506` `unpow0_binary64_16505` `unpow1_binary64_16504` `unpow-1_binary64_16503` `exp-lft-cube_binary64_16502` `exp-lft-sqr_binary64_16501` `exp-cbrt_binary64_16500` `exp-sqrt_binary64_16499` `exp-prod_binary64_16498` `div-exp_binary64_16497` `rec-exp_binary64_16496` `prod-exp_binary64_16495` `exp-diff_binary64_16494` `exp-neg_binary64_16493` `exp-sum_binary64_16492` `e-exp-1_binary64_16491` `exp-1-e_binary64_16489` `exp-0_binary64_16488` `rem-log-exp_binary64_16487` `rem-exp-log_binary64_16486` `cube-unmult_binary64_16483` `cube-mult_binary64_16476` `cube-div_binary64_16475` `cube-prod_binary64_16474` `cube-neg_binary64_16473` `rem-3cbrt-rft_binary64_16472` `rem-3cbrt-lft_binary64_16471` `rem-cbrt-cube_binary64_16470` `rem-cube-cbrt_binary64_16469` `sqr-abs_binary64_16461` `sqr-neg_binary64_16460` `rem-sqrt-square_binary64_16459` `rem-square-sqrt_binary64_16458` `/-rgt-identity_binary64_16437` `-rgt-identity_binary64_16436` `-lft-identity_binary64_16435` `--rgt-identity_binary64_16432` `+-lft-identity_binary64_16430` `-inverses_binary64_16426` `+-inverses_binary64_16425` `lft-mult-inverse_binary64_16424` `rgt-mult-inverse_binary64_16423` `remove-double-div_binary64_16422` `pow-sqr_binary64_16419` `sqr-pow_binary64_16418` `difference-of-sqr--1_binary64_16417` `difference-of-sqr-1_binary64_16416` `difference-of-squares_binary64_16415` `unswap-sqr_binary64_16414` `swap-sqr_binary64_16413` `cancel-sign-sub_binary64_16411` `distribute-rgt1-in_binary64_16402` `distribute-lft1-in_binary64_16401` `distribute-rgt-out--_binary64_16400` `distribute-rgt-out_binary64_16399` `distribute-lft-out--_binary64_16398` `distribute-lft-out_binary64_16397` `count-2_binary64_16394` `associate-/l/_binary64_16393` `associate-/r_binary64_16390` `associate--l-_binary64_16384` `associate--l+_binary64_16383`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	209
1	120	209
2	362	209
3	1023	209
4	2813	209
5	4331	209
6	5278	209
0	5	5
1	5	5

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
1.8%	98%	0.2%	10
7.7%	92.1%	0.2%	11
10.4%	89.4%	0.2%	12
12.2%	87.6%	0.2%	13
21.8%	77.8%	0.4%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample29.0ms (0.1%)

Algorithm

1×

intervals

Results

8.0ms	215×	body	128	valid
2.0ms	20×	body	512	valid
2.0ms	12×	body	1024	valid
1.0ms	30×	body	128	invalid
1.0ms	8×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify93.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

833×	`unsub-neg_binary64_16440`
751×	`sub-neg_binary64_16439`
696×	`div-sub_binary64_16451`
618×	`neg-mul-1_binary64_16442`
588×	`neg-sub0_binary64_16441`
555×	`associate-/l*_binary64_16391`
378×	`distribute-frac-neg_binary64_16409`
362×	`distribute-neg-out_binary64_16408`
359×	`distribute-neg-in_binary64_16407`
353×	`distribute-rgt-in_binary64_16396`
246×	`distribute-lft-in_binary64_16395`
240×	`distribute-neg-frac_binary64_16410`
182×	`distribute-rgt-neg-out_binary64_16406`
138×	`distribute-rgt-neg-in_binary64_16404`
135×	`remove-double-neg_binary64_16434`
130×	`associate--r+_binary64_16382` `associate-+l+_binary64_16379`
122×	`associate-+r+_binary64_16378`
114×	`distribute-lft-neg-out_binary64_16405`
108×	`distribute-lft-neg-in_binary64_16403`
104×	`associate-+l-_binary64_16381`
102×	`cancel-sign-sub-inv_binary64_16412`
81×	`associate--l+_binary64_16383`
67×	`associate-/r/_binary64_16392`
62×	`distribute-rgt-out_binary64_16399` `+-commutative_binary64_16376`
60×	`times-frac_binary64_16452`
52×	`associate-r_binary64_16386`
51×	`distribute-rgt-out--_binary64_16400`
47×	`distribute-lft-out_binary64_16397`
46×	`*-commutative_binary64_16377`
45×	`associate-l_binary64_16387`
44×	`associate-/l/_binary64_16393`
36×	`associate-/r*_binary64_16390`
35×	`sub0-neg_binary64_16433`
32×	`/-rgt-identity_binary64_16437`
31×	`associate-+r-_binary64_16380`
30×	`mul0-rgt_binary64_16429`
29×	`div0_binary64_16427`
28×	`mul0-lft_binary64_16428`
26×	`associate-*l/_binary64_16389`
24×	`distribute-lft-out--_binary64_16398`
22×	`+-rgt-identity_binary64_16431`
19×	`*-lft-identity_binary64_16435`
17×	`associate-*r/_binary64_16388`
11×	`associate--r-_binary64_16385`
9×	`remove-double-div_binary64_16422`
8×	`associate--l-_binary64_16384`
7×	`mul-1-neg_binary64_16438`
5×	`distribute-lft1-in_binary64_16401`
4×	`*-rgt-identity_binary64_16436` `+-lft-identity_binary64_16430`
2×	`--rgt-identity_binary64_16432` `*-inverses_binary64_16426` `distribute-rgt1-in_binary64_16402`
1×	`1-exp_binary64_16490` `cancel-sign-sub_binary64_16411`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_16709` `erf-erfc_binary64_16708` `erf-odd_binary64_16707` `if-if-and-not_binary64_16706` `if-if-and_binary64_16705` `if-if-or-not_binary64_16704` `if-if-or_binary64_16703` `if-not_binary64_16702` `if-same_binary64_16701` `if-false_binary64_16700` `if-true_binary64_16699` `not-gte_binary64_16698` `not-lte_binary64_16697` `not-gt_binary64_16696` `not-lt_binary64_16695` `gte-same_binary64_16694` `lte-same_binary64_16693` `gt-same_binary64_16692` `lt-same_binary64_16691` `sinh---cosh_binary64_16638` `sinh-+-cosh_binary64_16637` `sinh-cosh_binary64_16636` `tanh-def-c_binary64_16635` `tanh-def-b_binary64_16634` `tanh-def-a_binary64_16633` `cosh-def_binary64_16632` `sinh-def_binary64_16631` `tan-neg_binary64_16578` `cos-neg_binary64_16577` `sin-neg_binary64_16576` `tan-0_binary64_16575` `cos-0_binary64_16574` `sin-0_binary64_16573` `hang-m-tan_binary64_16572` `hang-p-tan_binary64_16571` `hang-m0-tan_binary64_16570` `hang-p0-tan_binary64_16569` `hang-0m-tan_binary64_16568` `hang-0p-tan_binary64_16567` `tan-+PI/2_binary64_16566` `tan-+PI_binary64_16565` `tan-PI_binary64_16564` `tan-PI/3_binary64_16563` `tan-PI/4_binary64_16562` `tan-PI/6_binary64_16561` `cos-+PI/2_binary64_16560` `cos-+PI_binary64_16559` `cos-PI_binary64_16558` `cos-PI/2_binary64_16557` `cos-PI/3_binary64_16556` `cos-PI/4_binary64_16555` `cos-PI/6_binary64_16554` `sin-+PI/2_binary64_16553` `sin-+PI_binary64_16552` `sin-PI_binary64_16551` `sin-PI/2_binary64_16550` `sin-PI/3_binary64_16549` `sin-PI/4_binary64_16548` `sin-PI/6_binary64_16547` `sub-1-sin_binary64_16546` `sub-1-cos_binary64_16545` `-1-add-sin_binary64_16544` `-1-add-cos_binary64_16543` `1-sub-sin_binary64_16542` `1-sub-cos_binary64_16541` `cos-sin-sum_binary64_16540` `log-E_binary64_16536` `log-pow_binary64_16535` `log-rec_binary64_16534` `log-div_binary64_16533` `log-prod_binary64_16532` `pow-base-0_binary64_16530` `unpow1/3_binary64_16513` `unpow3_binary64_16512` `unpow2_binary64_16511` `unpow1/2_binary64_16510` `pow-plus_binary64_16509` `exp-to-pow_binary64_16508` `pow-base-1_binary64_16506` `unpow0_binary64_16505` `unpow1_binary64_16504` `unpow-1_binary64_16503` `exp-lft-cube_binary64_16502` `exp-lft-sqr_binary64_16501` `exp-cbrt_binary64_16500` `exp-sqrt_binary64_16499` `exp-prod_binary64_16498` `div-exp_binary64_16497` `rec-exp_binary64_16496` `prod-exp_binary64_16495` `exp-diff_binary64_16494` `exp-neg_binary64_16493` `exp-sum_binary64_16492` `e-exp-1_binary64_16491` `exp-1-e_binary64_16489` `exp-0_binary64_16488` `rem-log-exp_binary64_16487` `rem-exp-log_binary64_16486` `cube-unmult_binary64_16483` `cube-mult_binary64_16476` `cube-div_binary64_16475` `cube-prod_binary64_16474` `cube-neg_binary64_16473` `rem-3cbrt-rft_binary64_16472` `rem-3cbrt-lft_binary64_16471` `rem-cbrt-cube_binary64_16470` `rem-cube-cbrt_binary64_16469` `sqr-abs_binary64_16461` `sqr-neg_binary64_16460` `rem-sqrt-square_binary64_16459` `rem-square-sqrt_binary64_16458` `+-inverses_binary64_16425` `lft-mult-inverse_binary64_16424` `rgt-mult-inverse_binary64_16423` `pow-sqr_binary64_16419` `sqr-pow_binary64_16418` `difference-of-sqr--1_binary64_16417` `difference-of-sqr-1_binary64_16416` `difference-of-squares_binary64_16415` `unswap-sqr_binary64_16414` `swap-sqr_binary64_16413` `count-2_binary64_16394`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	21	19
2	52	19
3	136	19
4	377	19
5	844	19
6	2019	19
7	3826	19
8	3908	19
9	4613	19
10	4936	19

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

25.5b

Counts

1 → 1

Compiler

Compiled 13 to 11 computations (15.4% saved)

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 y z) (-.f64 t x))
2.2b	(+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)))
17.7b	(/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z))

rewrite154.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

10.9b

Rules

19×	`add-sqr-sqrt_binary64_16468` `*-un-lft-identity_binary64_16446`
13×	`flip3--_binary64_16450` `flip--_binary64_16421`
10×	`add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482`
9×	`add-cube-cbrt_binary64_16481`
8×	`frac-times_binary64_16456` `associate-/l/_binary64_16393`
6×	`cancel-sign-sub-inv_binary64_16412`
5×	`pow1_binary64_16507` `add-log-exp_binary64_16485` `times-frac_binary64_16452` `associate-/r_binary64_16390` `associate-l_binary64_16387` `associate-r*_binary64_16386`
4×	`difference-of-squares_binary64_16415` `distribute-lft-out--_binary64_16398` `associate-l/_binary64_16389` `associate-r/_binary64_16388` `distribute-rgt-in_binary64_16396` `distribute-lft-in_binary64_16395`
2×	`prod-exp_binary64_16495` `div-exp_binary64_16497` `cbrt-undiv_binary64_16480` `cbrt-unprod_binary64_16479` `associate-/r/_binary64_16392` `sub-neg_binary64_16439`
1×	`frac-2neg_binary64_16457` `clear-num_binary64_16445` `div-inv_binary64_16443` `associate-/l_binary64_16391` `sum-log_binary64_16537` `flip3-+_binary64_16449` `flip-+_binary64_16420` `distribute-lft-out_binary64_16397` `+-commutative_binary64_16376` `pow-prod-down_binary64_16517` `unswap-sqr_binary64_16414` `-commutative_binary64_16377`

Counts

3 → 85

Calls

3 calls:

20.0ms	(/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z))
11.0ms	(*.f64 (-.f64 y z) (-.f64 t x))
9.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)))

Compiler

Compiled 1987 to 456 computations (77.1% saved)

series2.5s (10.9%)

Error

1.4b

Counts

3 → 97

Calls

3 calls:

1.3s	(+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)))
766.0ms	(/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z))
283.0ms	(*.f64 (-.f64 y z) (-.f64 t x))

Compiler

Compiled 7709 to 3912 computations (49.3% saved)

simplify145.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

303×	`associate-+r+_binary64_16378`
268×	`+-commutative_binary64_16376`
231×	`associate-+l+_binary64_16379`
215×	`associate-/l*_binary64_16391`
204×	`associate--l+_binary64_16383`
187×	`div-sub_binary64_16451`
170×	`distribute-rgt-in_binary64_16396`
166×	`times-frac_binary64_16452`
164×	`associate--r+_binary64_16382`
160×	`distribute-lft-in_binary64_16395`
151×	`associate-l_binary64_16387`
145×	`*-commutative_binary64_16377`
140×	`sub-neg_binary64_16439`
137×	`associate-r_binary64_16386`
80×	`associate-/r*_binary64_16390`
61×	`associate-/r/_binary64_16392`
51×	`neg-sub0_binary64_16441`
49×	`distribute-neg-in_binary64_16407`
47×	`associate-*l/_binary64_16389`
45×	`neg-mul-1_binary64_16442`
36×	`associate-*r/_binary64_16388`
31×	`associate-/l/_binary64_16393`
26×	`distribute-rgt-neg-in_binary64_16404`
24×	`distribute-neg-frac_binary64_16410`
22×	`cancel-sign-sub-inv_binary64_16412`
21×	`cube-div_binary64_16475`
20×	`sqr-pow_binary64_16418`
19×	`log-div_binary64_16533`
17×	`distribute-lft-neg-in_binary64_16403`
14×	`exp-prod_binary64_16498`
11×	`cube-prod_binary64_16474`
10×	`unpow3_binary64_16512` `mul-1-neg_binary64_16438`
9×	`distribute-lft-neg-out_binary64_16405`
8×	`log-prod_binary64_16532` `exp-sum_binary64_16492` `cube-mult_binary64_16476`
7×	`exp-diff_binary64_16494` `difference-of-squares_binary64_16415`
6×	`distribute-rgt-neg-out_binary64_16406`
5×	`cube-unmult_binary64_16483`
4×	`log-rec_binary64_16534` `/-rgt-identity_binary64_16437` `swap-sqr_binary64_16413`
3×	`rem-sqrt-square_binary64_16459`
2×	`unpow2_binary64_16511` `unpow1/2_binary64_16510` `unpow1_binary64_16504` `distribute-rgt-out_binary64_16399` `associate-+r-_binary64_16380`
1×	`prod-exp_binary64_16495` `1-exp_binary64_16490` `exp-1-e_binary64_16489` `rem-3cbrt-lft_binary64_16471` `rem-square-sqrt_binary64_16458` `*-rgt-identity_binary64_16436` `distribute-rgt-out--_binary64_16400` `associate--r-_binary64_16385` `associate-+l-_binary64_16381`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_16709` `erf-erfc_binary64_16708` `erf-odd_binary64_16707` `if-if-and-not_binary64_16706` `if-if-and_binary64_16705` `if-if-or-not_binary64_16704` `if-if-or_binary64_16703` `if-not_binary64_16702` `if-same_binary64_16701` `if-false_binary64_16700` `if-true_binary64_16699` `not-gte_binary64_16698` `not-lte_binary64_16697` `not-gt_binary64_16696` `not-lt_binary64_16695` `gte-same_binary64_16694` `lte-same_binary64_16693` `gt-same_binary64_16692` `lt-same_binary64_16691` `sinh---cosh_binary64_16638` `sinh-+-cosh_binary64_16637` `sinh-cosh_binary64_16636` `tanh-def-c_binary64_16635` `tanh-def-b_binary64_16634` `tanh-def-a_binary64_16633` `cosh-def_binary64_16632` `sinh-def_binary64_16631` `tan-neg_binary64_16578` `cos-neg_binary64_16577` `sin-neg_binary64_16576` `tan-0_binary64_16575` `cos-0_binary64_16574` `sin-0_binary64_16573` `hang-m-tan_binary64_16572` `hang-p-tan_binary64_16571` `hang-m0-tan_binary64_16570` `hang-p0-tan_binary64_16569` `hang-0m-tan_binary64_16568` `hang-0p-tan_binary64_16567` `tan-+PI/2_binary64_16566` `tan-+PI_binary64_16565` `tan-PI_binary64_16564` `tan-PI/3_binary64_16563` `tan-PI/4_binary64_16562` `tan-PI/6_binary64_16561` `cos-+PI/2_binary64_16560` `cos-+PI_binary64_16559` `cos-PI_binary64_16558` `cos-PI/2_binary64_16557` `cos-PI/3_binary64_16556` `cos-PI/4_binary64_16555` `cos-PI/6_binary64_16554` `sin-+PI/2_binary64_16553` `sin-+PI_binary64_16552` `sin-PI_binary64_16551` `sin-PI/2_binary64_16550` `sin-PI/3_binary64_16549` `sin-PI/4_binary64_16548` `sin-PI/6_binary64_16547` `sub-1-sin_binary64_16546` `sub-1-cos_binary64_16545` `-1-add-sin_binary64_16544` `-1-add-cos_binary64_16543` `1-sub-sin_binary64_16542` `1-sub-cos_binary64_16541` `cos-sin-sum_binary64_16540` `log-E_binary64_16536` `log-pow_binary64_16535` `pow-base-0_binary64_16530` `unpow1/3_binary64_16513` `pow-plus_binary64_16509` `exp-to-pow_binary64_16508` `pow-base-1_binary64_16506` `unpow0_binary64_16505` `unpow-1_binary64_16503` `exp-lft-cube_binary64_16502` `exp-lft-sqr_binary64_16501` `exp-cbrt_binary64_16500` `exp-sqrt_binary64_16499` `div-exp_binary64_16497` `rec-exp_binary64_16496` `exp-neg_binary64_16493` `e-exp-1_binary64_16491` `exp-0_binary64_16488` `rem-log-exp_binary64_16487` `rem-exp-log_binary64_16486` `cube-neg_binary64_16473` `rem-3cbrt-rft_binary64_16472` `rem-cbrt-cube_binary64_16470` `rem-cube-cbrt_binary64_16469` `sqr-abs_binary64_16461` `sqr-neg_binary64_16460` `unsub-neg_binary64_16440` `-lft-identity_binary64_16435` `remove-double-neg_binary64_16434` `sub0-neg_binary64_16433` `--rgt-identity_binary64_16432` `+-rgt-identity_binary64_16431` `+-lft-identity_binary64_16430` `mul0-rgt_binary64_16429` `mul0-lft_binary64_16428` `div0_binary64_16427` `-inverses_binary64_16426` `+-inverses_binary64_16425` `lft-mult-inverse_binary64_16424` `rgt-mult-inverse_binary64_16423` `remove-double-div_binary64_16422` `pow-sqr_binary64_16419` `difference-of-sqr--1_binary64_16417` `difference-of-sqr-1_binary64_16416` `unswap-sqr_binary64_16414` `cancel-sign-sub_binary64_16411` `distribute-frac-neg_binary64_16409` `distribute-neg-out_binary64_16408` `distribute-rgt1-in_binary64_16402` `distribute-lft1-in_binary64_16401` `distribute-lft-out--_binary64_16398` `distribute-lft-out_binary64_16397` `count-2_binary64_16394` `associate--l-_binary64_16384`

Counts

182 → 138

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	416	5672
1	1172	5423
2	4730	5393
3	5222	5393

prune182.0ms (0.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	127	11	138
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	128	11	139

Error

1.2b

Counts

139 → 11

Compiler

Compiled 4246 to 769 computations (81.9% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.8b	(*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (-.f64 t x))
1.8b	(*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (-.f64 t x))
1.8b	(*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (-.f64 t x))
6.6b	(+.f64 x (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (-.f64 t x))) (cbrt.f64 (.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (-.f64 t x)))) (cbrt.f64 (*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (-.f64 t x)))))

rewrite405.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

1.2b

Rules

127×	`add-sqr-sqrt_binary64_16468`
112×	`*-un-lft-identity_binary64_16446`
93×	`associate-l_binary64_16387`
78×	`times-frac_binary64_16452`
46×	`add-cube-cbrt_binary64_16481`
33×	`difference-of-squares_binary64_16415` `distribute-lft-out--_binary64_16398`
19×	`add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482`
18×	`cancel-sign-sub-inv_binary64_16412`
15×	`associate-r_binary64_16386`
12×	`distribute-rgt-in_binary64_16396` `distribute-lft-in_binary64_16395`
10×	`pow1_binary64_16507`
9×	`flip3--_binary64_16450` `flip--_binary64_16421`
6×	`add-log-exp_binary64_16485` `prod-exp_binary64_16495` `cbrt-unprod_binary64_16479` `frac-times_binary64_16456` `unswap-sqr_binary64_16414` `sub-neg_binary64_16439` `associate-*r/_binary64_16388` `associate-/r/_binary64_16392`
3×	`pow-prod-down_binary64_16517` `div-exp_binary64_16497` `cbrt-undiv_binary64_16480` `associate-l/_binary64_16389` `div-inv_binary64_16443` `-commutative_binary64_16377`
1×	`sum-log_binary64_16537` `flip3-+_binary64_16449` `flip-+_binary64_16420` `+-commutative_binary64_16376`

Counts

4 → 203

Calls

4 calls:

23.0ms	(*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (-.f64 t x))
21.0ms	(*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (-.f64 t x))
20.0ms	(*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (-.f64 t x))
3.0ms	(+.f64 x (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (-.f64 t x))) (cbrt.f64 (.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (-.f64 t x)))) (cbrt.f64 (*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (-.f64 t x)))))

Compiler

Compiled 10618 to 1146 computations (89.2% saved)

series4.3s (18.9%)

Error

1.2b

Counts

4 → 132

Calls

4 calls:

1.8s	(+.f64 x (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (-.f64 t x))) (cbrt.f64 (.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (-.f64 t x)))) (cbrt.f64 (*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (-.f64 t x)))))
754.0ms	(*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (-.f64 t x))
753.0ms	(*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (-.f64 t x))
748.0ms	(*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (-.f64 t x))

Compiler

Compiled 17722 to 7175 computations (59.5% saved)

simplify284.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

281×	`associate-+r+_binary64_16378`
269×	`+-commutative_binary64_16376`
230×	`associate-+l+_binary64_16379`
225×	`associate-/l*_binary64_16391`
205×	`associate--l+_binary64_16383`
198×	`associate-l_binary64_16387`
185×	`associate-r_binary64_16386`
171×	`*-commutative_binary64_16377`
159×	`associate--r+_binary64_16382`
153×	`times-frac_binary64_16452`
137×	`sub-neg_binary64_16439`
117×	`neg-sub0_binary64_16441`
116×	`distribute-rgt-in_binary64_16396`
105×	`distribute-lft-in_binary64_16395`
103×	`unsub-neg_binary64_16440`
102×	`neg-mul-1_binary64_16442`
100×	`div-sub_binary64_16451`
78×	`associate-/r*_binary64_16390`
72×	`associate-*l/_binary64_16389`
59×	`associate-/r/_binary64_16392`
52×	`associate-*r/_binary64_16388`
45×	`distribute-neg-in_binary64_16407`
28×	`distribute-rgt-neg-in_binary64_16404`
21×	`sqr-pow_binary64_16418` `cancel-sign-sub-inv_binary64_16412`
20×	`distribute-neg-frac_binary64_16410` `distribute-lft-neg-in_binary64_16403`
17×	`unpow3_binary64_16512` `exp-prod_binary64_16498`
15×	`log-prod_binary64_16532` `cube-prod_binary64_16474`
13×	`mul-1-neg_binary64_16438` `distribute-lft-neg-out_binary64_16405`
11×	`exp-sum_binary64_16492`
9×	`log-div_binary64_16533` `distribute-rgt-neg-out_binary64_16406`
8×	`cube-mult_binary64_16476`
7×	`cube-unmult_binary64_16483`
5×	`swap-sqr_binary64_16413`
4×	`exp-diff_binary64_16494` `cube-div_binary64_16475` `rem-sqrt-square_binary64_16459`
3×	`difference-of-squares_binary64_16415` `associate-+r-_binary64_16380`
2×	`log-pow_binary64_16535` `unpow2_binary64_16511` `unpow1/2_binary64_16510` `pow-plus_binary64_16509` `unpow1_binary64_16504` `rem-3cbrt-lft_binary64_16471` `*-rgt-identity_binary64_16436` `distribute-rgt-out--_binary64_16400` `distribute-rgt-out_binary64_16399` `associate-+l-_binary64_16381`
1×	`prod-exp_binary64_16495` `1-exp_binary64_16490` `exp-1-e_binary64_16489` `rem-cube-cbrt_binary64_16469` `rem-square-sqrt_binary64_16458` `*-lft-identity_binary64_16435`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_16709` `erf-erfc_binary64_16708` `erf-odd_binary64_16707` `if-if-and-not_binary64_16706` `if-if-and_binary64_16705` `if-if-or-not_binary64_16704` `if-if-or_binary64_16703` `if-not_binary64_16702` `if-same_binary64_16701` `if-false_binary64_16700` `if-true_binary64_16699` `not-gte_binary64_16698` `not-lte_binary64_16697` `not-gt_binary64_16696` `not-lt_binary64_16695` `gte-same_binary64_16694` `lte-same_binary64_16693` `gt-same_binary64_16692` `lt-same_binary64_16691` `sinh---cosh_binary64_16638` `sinh-+-cosh_binary64_16637` `sinh-cosh_binary64_16636` `tanh-def-c_binary64_16635` `tanh-def-b_binary64_16634` `tanh-def-a_binary64_16633` `cosh-def_binary64_16632` `sinh-def_binary64_16631` `tan-neg_binary64_16578` `cos-neg_binary64_16577` `sin-neg_binary64_16576` `tan-0_binary64_16575` `cos-0_binary64_16574` `sin-0_binary64_16573` `hang-m-tan_binary64_16572` `hang-p-tan_binary64_16571` `hang-m0-tan_binary64_16570` `hang-p0-tan_binary64_16569` `hang-0m-tan_binary64_16568` `hang-0p-tan_binary64_16567` `tan-+PI/2_binary64_16566` `tan-+PI_binary64_16565` `tan-PI_binary64_16564` `tan-PI/3_binary64_16563` `tan-PI/4_binary64_16562` `tan-PI/6_binary64_16561` `cos-+PI/2_binary64_16560` `cos-+PI_binary64_16559` `cos-PI_binary64_16558` `cos-PI/2_binary64_16557` `cos-PI/3_binary64_16556` `cos-PI/4_binary64_16555` `cos-PI/6_binary64_16554` `sin-+PI/2_binary64_16553` `sin-+PI_binary64_16552` `sin-PI_binary64_16551` `sin-PI/2_binary64_16550` `sin-PI/3_binary64_16549` `sin-PI/4_binary64_16548` `sin-PI/6_binary64_16547` `sub-1-sin_binary64_16546` `sub-1-cos_binary64_16545` `-1-add-sin_binary64_16544` `-1-add-cos_binary64_16543` `1-sub-sin_binary64_16542` `1-sub-cos_binary64_16541` `cos-sin-sum_binary64_16540` `log-E_binary64_16536` `log-rec_binary64_16534` `pow-base-0_binary64_16530` `unpow1/3_binary64_16513` `exp-to-pow_binary64_16508` `pow-base-1_binary64_16506` `unpow0_binary64_16505` `unpow-1_binary64_16503` `exp-lft-cube_binary64_16502` `exp-lft-sqr_binary64_16501` `exp-cbrt_binary64_16500` `exp-sqrt_binary64_16499` `div-exp_binary64_16497` `rec-exp_binary64_16496` `exp-neg_binary64_16493` `e-exp-1_binary64_16491` `exp-0_binary64_16488` `rem-log-exp_binary64_16487` `rem-exp-log_binary64_16486` `cube-neg_binary64_16473` `rem-3cbrt-rft_binary64_16472` `rem-cbrt-cube_binary64_16470` `sqr-abs_binary64_16461` `sqr-neg_binary64_16460` `/-rgt-identity_binary64_16437` `remove-double-neg_binary64_16434` `sub0-neg_binary64_16433` `--rgt-identity_binary64_16432` `+-rgt-identity_binary64_16431` `+-lft-identity_binary64_16430` `mul0-rgt_binary64_16429` `mul0-lft_binary64_16428` `div0_binary64_16427` `*-inverses_binary64_16426` `+-inverses_binary64_16425` `lft-mult-inverse_binary64_16424` `rgt-mult-inverse_binary64_16423` `remove-double-div_binary64_16422` `pow-sqr_binary64_16419` `difference-of-sqr--1_binary64_16417` `difference-of-sqr-1_binary64_16416` `unswap-sqr_binary64_16414` `cancel-sign-sub_binary64_16411` `distribute-frac-neg_binary64_16409` `distribute-neg-out_binary64_16408` `distribute-rgt1-in_binary64_16402` `distribute-lft1-in_binary64_16401` `distribute-lft-out--_binary64_16398` `distribute-lft-out_binary64_16397` `count-2_binary64_16394` `associate-/l/_binary64_16393` `associate--r-_binary64_16385` `associate--l-_binary64_16384`

Counts

335 → 295

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	444	10241
1	1235	9858
2	4587	9475
3	4992	9475
4	4982	9475

prune420.0ms (1.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	293	2	295
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	294	12	306

Error

1.2b

Counts

306 → 12

Compiler

Compiled 14791 to 1479 computations (90% saved)

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 t x) (-.f64 a z))
4.2b	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
6.5b	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))

rewrite167.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

1.2b

Rules

78×	`add-sqr-sqrt_binary64_16468`
73×	`*-un-lft-identity_binary64_16446`
51×	`times-frac_binary64_16452`
31×	`associate-r_binary64_16386`
27×	`add-cube-cbrt_binary64_16481`
23×	`difference-of-squares_binary64_16415` `distribute-lft-out--_binary64_16398`
10×	`add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482`
5×	`pow1_binary64_16507` `add-log-exp_binary64_16485` `flip3--_binary64_16450` `flip--_binary64_16421` `associate-l_binary64_16387` `associate-/l_binary64_16391` `associate-/r_binary64_16390`
4×	`associate-/r/_binary64_16392`
2×	`div-exp_binary64_16497` `prod-exp_binary64_16495` `cbrt-unprod_binary64_16479` `cbrt-undiv_binary64_16480` `frac-times_binary64_16456` `unswap-sqr_binary64_16414` `associate-*l/_binary64_16389` `div-inv_binary64_16443` `associate-/l/_binary64_16393`
1×	`pow-prod-down_binary64_16517` `associate-r/_binary64_16388` `-commutative_binary64_16377` `sum-log_binary64_16537` `flip3-+_binary64_16449` `flip-+_binary64_16420` `+-commutative_binary64_16376` `frac-2neg_binary64_16457` `div-sub_binary64_16451` `clear-num_binary64_16445`

Counts

3 → 119

Calls

3 calls:

24.0ms	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))
9.0ms	(/.f64 (-.f64 t x) (-.f64 a z))
4.0ms	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))

Compiler

Compiled 2779 to 576 computations (79.3% saved)

series2.5s (11.2%)

Error

1.2b

Counts

3 → 100

Calls

3 calls:

1.3s	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
777.0ms	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))
344.0ms	(/.f64 (-.f64 t x) (-.f64 a z))

Compiler

Compiled 8255 to 4327 computations (47.6% saved)

simplify174.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

940×	`times-frac_binary64_16452`
307×	`associate-+r+_binary64_16378`
280×	`+-commutative_binary64_16376`
239×	`associate-+l+_binary64_16379`
214×	`associate--l+_binary64_16383`
212×	`associate-/l*_binary64_16391`
177×	`associate--r+_binary64_16382`
152×	`sub-neg_binary64_16439` `associate-l_binary64_16387`
142×	`associate-r_binary64_16386`
128×	`*-commutative_binary64_16377`
112×	`distribute-rgt-in_binary64_16396`
108×	`distribute-lft-in_binary64_16395`
90×	`associate-/r*_binary64_16390`
72×	`associate-*r/_binary64_16388`
60×	`associate-/r/_binary64_16392`
54×	`distribute-neg-in_binary64_16407`
49×	`div-sub_binary64_16451` `associate-*l/_binary64_16389`
47×	`neg-sub0_binary64_16441`
43×	`associate-/l/_binary64_16393`
39×	`neg-mul-1_binary64_16442`
21×	`distribute-rgt-neg-in_binary64_16404`
20×	`cancel-sign-sub-inv_binary64_16412`
18×	`sqr-pow_binary64_16418` `distribute-neg-frac_binary64_16410`
15×	`cube-prod_binary64_16474`
14×	`distribute-lft-neg-in_binary64_16403`
13×	`mul-1-neg_binary64_16438`
12×	`log-prod_binary64_16532` `exp-prod_binary64_16498`
10×	`exp-sum_binary64_16492`
8×	`unpow3_binary64_16512`
7×	`log-div_binary64_16533` `cube-div_binary64_16475`
6×	`cube-mult_binary64_16476` `/-rgt-identity_binary64_16437`
5×	`difference-of-squares_binary64_16415`
4×	`exp-diff_binary64_16494` `cube-unmult_binary64_16483` `swap-sqr_binary64_16413` `distribute-lft-neg-out_binary64_16405`
2×	`unpow2_binary64_16511` `unpow1/2_binary64_16510` `unpow1_binary64_16504` `rem-sqrt-square_binary64_16459` `distribute-rgt-out--_binary64_16400` `distribute-rgt-out_binary64_16399` `associate--r-_binary64_16385` `associate-+l-_binary64_16381` `associate-+r-_binary64_16380`
1×	`prod-exp_binary64_16495` `1-exp_binary64_16490` `exp-1-e_binary64_16489` `*-rgt-identity_binary64_16436`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_16709` `erf-erfc_binary64_16708` `erf-odd_binary64_16707` `if-if-and-not_binary64_16706` `if-if-and_binary64_16705` `if-if-or-not_binary64_16704` `if-if-or_binary64_16703` `if-not_binary64_16702` `if-same_binary64_16701` `if-false_binary64_16700` `if-true_binary64_16699` `not-gte_binary64_16698` `not-lte_binary64_16697` `not-gt_binary64_16696` `not-lt_binary64_16695` `gte-same_binary64_16694` `lte-same_binary64_16693` `gt-same_binary64_16692` `lt-same_binary64_16691` `sinh---cosh_binary64_16638` `sinh-+-cosh_binary64_16637` `sinh-cosh_binary64_16636` `tanh-def-c_binary64_16635` `tanh-def-b_binary64_16634` `tanh-def-a_binary64_16633` `cosh-def_binary64_16632` `sinh-def_binary64_16631` `tan-neg_binary64_16578` `cos-neg_binary64_16577` `sin-neg_binary64_16576` `tan-0_binary64_16575` `cos-0_binary64_16574` `sin-0_binary64_16573` `hang-m-tan_binary64_16572` `hang-p-tan_binary64_16571` `hang-m0-tan_binary64_16570` `hang-p0-tan_binary64_16569` `hang-0m-tan_binary64_16568` `hang-0p-tan_binary64_16567` `tan-+PI/2_binary64_16566` `tan-+PI_binary64_16565` `tan-PI_binary64_16564` `tan-PI/3_binary64_16563` `tan-PI/4_binary64_16562` `tan-PI/6_binary64_16561` `cos-+PI/2_binary64_16560` `cos-+PI_binary64_16559` `cos-PI_binary64_16558` `cos-PI/2_binary64_16557` `cos-PI/3_binary64_16556` `cos-PI/4_binary64_16555` `cos-PI/6_binary64_16554` `sin-+PI/2_binary64_16553` `sin-+PI_binary64_16552` `sin-PI_binary64_16551` `sin-PI/2_binary64_16550` `sin-PI/3_binary64_16549` `sin-PI/4_binary64_16548` `sin-PI/6_binary64_16547` `sub-1-sin_binary64_16546` `sub-1-cos_binary64_16545` `-1-add-sin_binary64_16544` `-1-add-cos_binary64_16543` `1-sub-sin_binary64_16542` `1-sub-cos_binary64_16541` `cos-sin-sum_binary64_16540` `log-E_binary64_16536` `log-pow_binary64_16535` `log-rec_binary64_16534` `pow-base-0_binary64_16530` `unpow1/3_binary64_16513` `pow-plus_binary64_16509` `exp-to-pow_binary64_16508` `pow-base-1_binary64_16506` `unpow0_binary64_16505` `unpow-1_binary64_16503` `exp-lft-cube_binary64_16502` `exp-lft-sqr_binary64_16501` `exp-cbrt_binary64_16500` `exp-sqrt_binary64_16499` `div-exp_binary64_16497` `rec-exp_binary64_16496` `exp-neg_binary64_16493` `e-exp-1_binary64_16491` `exp-0_binary64_16488` `rem-log-exp_binary64_16487` `rem-exp-log_binary64_16486` `cube-neg_binary64_16473` `rem-3cbrt-rft_binary64_16472` `rem-3cbrt-lft_binary64_16471` `rem-cbrt-cube_binary64_16470` `rem-cube-cbrt_binary64_16469` `sqr-abs_binary64_16461` `sqr-neg_binary64_16460` `rem-square-sqrt_binary64_16458` `unsub-neg_binary64_16440` `-lft-identity_binary64_16435` `remove-double-neg_binary64_16434` `sub0-neg_binary64_16433` `--rgt-identity_binary64_16432` `+-rgt-identity_binary64_16431` `+-lft-identity_binary64_16430` `mul0-rgt_binary64_16429` `mul0-lft_binary64_16428` `div0_binary64_16427` `-inverses_binary64_16426` `+-inverses_binary64_16425` `lft-mult-inverse_binary64_16424` `rgt-mult-inverse_binary64_16423` `remove-double-div_binary64_16422` `pow-sqr_binary64_16419` `difference-of-sqr--1_binary64_16417` `difference-of-sqr-1_binary64_16416` `unswap-sqr_binary64_16414` `cancel-sign-sub_binary64_16411` `distribute-frac-neg_binary64_16409` `distribute-neg-out_binary64_16408` `distribute-rgt-neg-out_binary64_16406` `distribute-rgt1-in_binary64_16402` `distribute-lft1-in_binary64_16401` `distribute-lft-out--_binary64_16398` `distribute-lft-out_binary64_16397` `count-2_binary64_16394` `associate--l-_binary64_16384`

Counts

219 → 132

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	445	6616
1	1209	6358
2	4717	6340
3	5827	6340

prune151.0ms (0.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	2	8	10
Picked	0	1	1
Done	0	1	1
Total	133	11	144

Error

1.2b

Counts

144 → 11

Compiler

Compiled 4080 to 713 computations (82.5% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 t x) (-.f64 y z))
0.4b	(/.f64 1 (/.f64 (-.f64 a z) (*.f64 (-.f64 t x) (-.f64 y z))))
4.2b	(+.f64 x (/.f64 1 (/.f64 (-.f64 a z) (*.f64 (-.f64 t x) (-.f64 y z)))))
17.8b	(/.f64 (-.f64 a z) (*.f64 (-.f64 t x) (-.f64 y z)))

rewrite297.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

1.2b

Rules

76×	`times-frac_binary64_16452`
55×	`*-un-lft-identity_binary64_16446`
54×	`add-sqr-sqrt_binary64_16468`
41×	`associate-/r/_binary64_16392`
37×	`flip3--_binary64_16450` `flip--_binary64_16421`
36×	`add-cube-cbrt_binary64_16481`
32×	`add-exp-log_binary64_16484`
24×	`frac-times_binary64_16456`
20×	`add-cbrt-cube_binary64_16482`
18×	`associate-/r*_binary64_16390`
14×	`div-exp_binary64_16497`
12×	`associate-l/_binary64_16389` `associate-r/_binary64_16388`
8×	`difference-of-squares_binary64_16415` `distribute-lft-out--_binary64_16398` `associate-/l*_binary64_16391`
7×	`pow1_binary64_16507` `cbrt-undiv_binary64_16480` `div-inv_binary64_16443`
6×	`add-log-exp_binary64_16485` `cancel-sign-sub-inv_binary64_16412`
5×	`prod-exp_binary64_16495` `associate-l_binary64_16387` `associate-r_binary64_16386`
4×	`distribute-rgt-in_binary64_16396` `distribute-lft-in_binary64_16395`
3×	`cbrt-unprod_binary64_16479` `1-exp_binary64_16490` `rec-exp_binary64_16496`
2×	`frac-2neg_binary64_16457` `clear-num_binary64_16445` `associate-/l/_binary64_16393` `distribute-lft-out_binary64_16397` `sub-neg_binary64_16439`
1×	`div-sub_binary64_16451` `sum-log_binary64_16537` `flip3-+_binary64_16449` `flip-+_binary64_16420` `+-commutative_binary64_16376` `inv-pow_binary64_16531` `pow-flip_binary64_16520` `pow-prod-down_binary64_16517` `unswap-sqr_binary64_16414` `*-commutative_binary64_16377`

Counts

4 → 183

Calls

4 calls:

22.0ms	(+.f64 x (/.f64 1 (/.f64 (-.f64 a z) (*.f64 (-.f64 t x) (-.f64 y z)))))
18.0ms	(/.f64 1 (/.f64 (-.f64 a z) (*.f64 (-.f64 t x) (-.f64 y z))))
15.0ms	(*.f64 (-.f64 t x) (-.f64 y z))
15.0ms	(/.f64 (-.f64 a z) (*.f64 (-.f64 t x) (-.f64 y z)))

Compiler

Compiled 4968 to 1512 computations (69.6% saved)

series4.0s (17.4%)

Error

1.2b

Counts

4 → 129

Calls

4 calls:

1.5s	(/.f64 (-.f64 a z) (*.f64 (-.f64 t x) (-.f64 y z)))
1.3s	(+.f64 x (/.f64 1 (/.f64 (-.f64 a z) (*.f64 (-.f64 t x) (-.f64 y z)))))
761.0ms	(/.f64 1 (/.f64 (-.f64 a z) (*.f64 (-.f64 t x) (-.f64 y z))))
270.0ms	(*.f64 (-.f64 t x) (-.f64 y z))

Compiler

Compiled 13289 to 7280 computations (45.2% saved)

simplify202.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

639×	`times-frac_binary64_16452`
483×	`associate-/l*_binary64_16391`
195×	`sub-neg_binary64_16439`
193×	`associate-/r/_binary64_16392`
170×	`+-commutative_binary64_16376`
159×	`distribute-rgt-in_binary64_16396`
149×	`distribute-lft-in_binary64_16395`
127×	`*-commutative_binary64_16377`
112×	`associate-+r+_binary64_16378`
81×	`associate-/l/_binary64_16393`
79×	`distribute-neg-in_binary64_16407`
67×	`neg-sub0_binary64_16441`
64×	`associate-/r*_binary64_16390`
59×	`neg-mul-1_binary64_16442`
54×	`div-sub_binary64_16451`
44×	`associate-r_binary64_16386`
43×	`associate--l+_binary64_16383`
40×	`associate--r+_binary64_16382`
33×	`sqr-pow_binary64_16418`
28×	`distribute-rgt-neg-in_binary64_16404`
27×	`cancel-sign-sub-inv_binary64_16412` `distribute-neg-frac_binary64_16410`
19×	`distribute-lft-neg-in_binary64_16403`
15×	`unswap-sqr_binary64_16414` `associate-*r/_binary64_16388`
13×	`mul-1-neg_binary64_16438`
12×	`associate-l_binary64_16387`
9×	`distribute-lft-neg-out_binary64_16405`
8×	`unpow3_binary64_16512`
7×	`unpow2_binary64_16511` `unpow1_binary64_16504` `cube-mult_binary64_16476`
6×	`log-div_binary64_16533` `exp-prod_binary64_16498` `cube-div_binary64_16475` `swap-sqr_binary64_16413` `distribute-rgt-neg-out_binary64_16406`
5×	`log-prod_binary64_16532` `difference-of-squares_binary64_16415`
4×	`*-rgt-identity_binary64_16436` `distribute-rgt-out_binary64_16399`
3×	`log-rec_binary64_16534` `cube-unmult_binary64_16483` `cube-prod_binary64_16474` `/-rgt-identity_binary64_16437`
2×	`exp-diff_binary64_16494` `exp-sum_binary64_16492` `remove-double-div_binary64_16422` `associate-*l/_binary64_16389` `associate--r-_binary64_16385`
1×	`pow-plus_binary64_16509` `prod-exp_binary64_16495` `1-exp_binary64_16490` `rem-3cbrt-lft_binary64_16471` `rem-square-sqrt_binary64_16458` `*-lft-identity_binary64_16435` `sub0-neg_binary64_16433` `distribute-rgt-out--_binary64_16400` `distribute-lft-out_binary64_16397` `associate-+r-_binary64_16380`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_16709` `erf-erfc_binary64_16708` `erf-odd_binary64_16707` `if-if-and-not_binary64_16706` `if-if-and_binary64_16705` `if-if-or-not_binary64_16704` `if-if-or_binary64_16703` `if-not_binary64_16702` `if-same_binary64_16701` `if-false_binary64_16700` `if-true_binary64_16699` `not-gte_binary64_16698` `not-lte_binary64_16697` `not-gt_binary64_16696` `not-lt_binary64_16695` `gte-same_binary64_16694` `lte-same_binary64_16693` `gt-same_binary64_16692` `lt-same_binary64_16691` `sinh---cosh_binary64_16638` `sinh-+-cosh_binary64_16637` `sinh-cosh_binary64_16636` `tanh-def-c_binary64_16635` `tanh-def-b_binary64_16634` `tanh-def-a_binary64_16633` `cosh-def_binary64_16632` `sinh-def_binary64_16631` `tan-neg_binary64_16578` `cos-neg_binary64_16577` `sin-neg_binary64_16576` `tan-0_binary64_16575` `cos-0_binary64_16574` `sin-0_binary64_16573` `hang-m-tan_binary64_16572` `hang-p-tan_binary64_16571` `hang-m0-tan_binary64_16570` `hang-p0-tan_binary64_16569` `hang-0m-tan_binary64_16568` `hang-0p-tan_binary64_16567` `tan-+PI/2_binary64_16566` `tan-+PI_binary64_16565` `tan-PI_binary64_16564` `tan-PI/3_binary64_16563` `tan-PI/4_binary64_16562` `tan-PI/6_binary64_16561` `cos-+PI/2_binary64_16560` `cos-+PI_binary64_16559` `cos-PI_binary64_16558` `cos-PI/2_binary64_16557` `cos-PI/3_binary64_16556` `cos-PI/4_binary64_16555` `cos-PI/6_binary64_16554` `sin-+PI/2_binary64_16553` `sin-+PI_binary64_16552` `sin-PI_binary64_16551` `sin-PI/2_binary64_16550` `sin-PI/3_binary64_16549` `sin-PI/4_binary64_16548` `sin-PI/6_binary64_16547` `sub-1-sin_binary64_16546` `sub-1-cos_binary64_16545` `-1-add-sin_binary64_16544` `-1-add-cos_binary64_16543` `1-sub-sin_binary64_16542` `1-sub-cos_binary64_16541` `cos-sin-sum_binary64_16540` `log-E_binary64_16536` `log-pow_binary64_16535` `pow-base-0_binary64_16530` `unpow1/3_binary64_16513` `unpow1/2_binary64_16510` `exp-to-pow_binary64_16508` `pow-base-1_binary64_16506` `unpow0_binary64_16505` `unpow-1_binary64_16503` `exp-lft-cube_binary64_16502` `exp-lft-sqr_binary64_16501` `exp-cbrt_binary64_16500` `exp-sqrt_binary64_16499` `div-exp_binary64_16497` `rec-exp_binary64_16496` `exp-neg_binary64_16493` `e-exp-1_binary64_16491` `exp-1-e_binary64_16489` `exp-0_binary64_16488` `rem-log-exp_binary64_16487` `rem-exp-log_binary64_16486` `cube-neg_binary64_16473` `rem-3cbrt-rft_binary64_16472` `rem-cbrt-cube_binary64_16470` `rem-cube-cbrt_binary64_16469` `sqr-abs_binary64_16461` `sqr-neg_binary64_16460` `rem-sqrt-square_binary64_16459` `unsub-neg_binary64_16440` `remove-double-neg_binary64_16434` `--rgt-identity_binary64_16432` `+-rgt-identity_binary64_16431` `+-lft-identity_binary64_16430` `mul0-rgt_binary64_16429` `mul0-lft_binary64_16428` `div0_binary64_16427` `*-inverses_binary64_16426` `+-inverses_binary64_16425` `lft-mult-inverse_binary64_16424` `rgt-mult-inverse_binary64_16423` `pow-sqr_binary64_16419` `difference-of-sqr--1_binary64_16417` `difference-of-sqr-1_binary64_16416` `cancel-sign-sub_binary64_16411` `distribute-frac-neg_binary64_16409` `distribute-neg-out_binary64_16408` `distribute-rgt1-in_binary64_16402` `distribute-lft1-in_binary64_16401` `distribute-lft-out--_binary64_16398` `count-2_binary64_16394` `associate--l-_binary64_16384` `associate-+l-_binary64_16381` `associate-+l+_binary64_16379`

Counts

312 → 225

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	671	11316
1	1988	11026
2	5216	11026

prune297.0ms (1.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	224	1	225
Fresh	1	7	8
Picked	1	0	1
Done	0	2	2
Total	226	10	236

Error

1.2b

Counts

236 → 10

Compiler

Compiled 7475 to 1859 computations (75.1% saved)

regimes2.1s (9.1%)

Accuracy

Total 7.6b remaining (92.5%)

Threshold costs 0b (0%)

Compiler

Compiled 18965 to 12371 computations (34.8% saved)

bsearch8.0ms (0%)

Compiler: Compiled 13 to 11 computations (15.4% saved)

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

40×	`+-commutative_binary64_16376`
37×	`*-commutative_binary64_16377`
28×	`sub-neg_binary64_16439`
23×	`neg-mul-1_binary64_16442` `neg-sub0_binary64_16441`
14×	`distribute-rgt-neg-in_binary64_16404` `distribute-lft-neg-in_binary64_16403`
8×	`unsub-neg_binary64_16440` `distribute-neg-in_binary64_16407`
6×	`distribute-neg-frac_binary64_16410`
1×	`1-exp_binary64_16490` `*-lft-identity_binary64_16435`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_16706` `if-if-and_binary64_16705` `if-if-or-not_binary64_16704` `if-if-or_binary64_16703` `if-not_binary64_16702` `if-same_binary64_16701` `if-false_binary64_16700` `if-true_binary64_16699` `tan-0_binary64_16575` `cos-0_binary64_16574` `sin-0_binary64_16573` `unpow1_binary64_16504` `e-exp-1_binary64_16491` `exp-1-e_binary64_16489` `exp-0_binary64_16488` `sqr-abs_binary64_16461` `sqr-neg_binary64_16460` `mul-1-neg_binary64_16438` `/-rgt-identity_binary64_16437` `*-rgt-identity_binary64_16436` `remove-double-neg_binary64_16434` `sub0-neg_binary64_16433` `--rgt-identity_binary64_16432` `+-rgt-identity_binary64_16431` `+-lft-identity_binary64_16430` `cancel-sign-sub-inv_binary64_16412` `cancel-sign-sub_binary64_16411` `distribute-frac-neg_binary64_16409` `distribute-neg-out_binary64_16408` `distribute-rgt-neg-out_binary64_16406` `distribute-lft-neg-out_binary64_16405`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	250
1	103	250
2	125	250
3	155	250
4	200	250
5	237	250
6	273	250
7	287	250
8	292	250
9	293	250
10	292	250

end0.0ms (0%)

sample2.9s (12.9%)

Algorithm

1×

intervals

Results

275.0ms	6684×	body	128	valid
66.0ms	418×	body	1024	valid
57.0ms	503×	body	512	valid
45.0ms	1212×	body	128	invalid
24.0ms	339×	body	256	valid
10.0ms	56×	body	2048	valid

Compiler

Compiled 3362 to 2151 computations (36% saved)

Iter	Nodes	Cost
0	68	250
1	103	250
2	125	250
3	155	250
4	200	250
5	237	250
6	273	250
7	287	250
8	292	250
9	293	250
10	292	250

Iter	Nodes	Cost
0	68	250
1	103	250
2	125	250
3	155	250
4	200	250
5	237	250
6	273	250
7	287	250
8	292	250
9	293	250
10	292	250

Details

analyze1.4s (6.1%)

sample29.0ms (0.1%)

simplify93.0ms (0.4%)

prune2.0ms (0%)

localize9.0ms (0%)

rewrite154.0ms (0.7%)

series2.5s (10.9%)

simplify145.0ms (0.6%)

prune182.0ms (0.8%)

localize14.0ms (0.1%)

rewrite405.0ms (1.8%)

series4.3s (18.9%)

simplify284.0ms (1.2%)

prune420.0ms (1.8%)

localize9.0ms (0%)

rewrite167.0ms (0.7%)

series2.5s (11.2%)

simplify174.0ms (0.8%)

prune151.0ms (0.7%)

localize12.0ms (0.1%)

rewrite297.0ms (1.3%)

series4.0s (17.4%)

simplify202.0ms (0.9%)

prune297.0ms (1.3%)

regimes2.1s (9.1%)

bsearch8.0ms (0%)

simplify17.0ms (0.1%)

end0.0ms (0%)

sample2.9s (12.9%)

Profiling

Iter	Nodes	Cost
0	68	250
1	103	250
2	125	250
3	155	250
4	200	250
5	237	250
6	273	250
7	287	250
8	292	250
9	293	250
10	292	250