Details

analyze1.0s (11.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

297×	`unsub-neg_binary64_16440`
230×	`distribute-rgt-in_binary64_16396`
207×	`cancel-sign-sub-inv_binary64_16412`
196×	`distribute-lft-in_binary64_16395`
152×	`sub-neg_binary64_16439`
145×	`distribute-rgt-neg-in_binary64_16404`
119×	`associate--r+_binary64_16382`
111×	`distribute-lft-neg-out_binary64_16405`
109×	`distribute-rgt-neg-out_binary64_16406`
106×	`neg-mul-1_binary64_16442`
95×	`*-commutative_binary64_16377`
91×	`neg-sub0_binary64_16441`
88×	`distribute-lft-neg-in_binary64_16403`
83×	`associate-l_binary64_16387` `associate-r_binary64_16386`
68×	`distribute-rgt-out--_binary64_16400`
60×	`associate-+l-_binary64_16381`
53×	`+-commutative_binary64_16376`
50×	`mul0-rgt_binary64_16429`
46×	`remove-double-neg_binary64_16434`
42×	`mul0-lft_binary64_16428`
28×	`cancel-sign-sub_binary64_16411`
25×	`distribute-rgt-out_binary64_16399`
23×	`sub0-neg_binary64_16433`
21×	`associate-+r+_binary64_16378`
20×	`distribute-neg-in_binary64_16407`
18×	`distribute-neg-out_binary64_16408`
17×	`+-lft-identity_binary64_16430` `associate--l+_binary64_16383`
13×	`associate-+r-_binary64_16380`
12×	`associate--l-_binary64_16384`
11×	`associate-+l+_binary64_16379`
9×	`+-rgt-identity_binary64_16431`
6×	`associate--r-_binary64_16385`
4×	`*-lft-identity_binary64_16435`
1×	`1-exp_binary64_16490` `swap-y-t`
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` `times-frac_binary64_16452` `div-sub_binary64_16451` `mul-1-neg_binary64_16438` `/-rgt-identity_binary64_16437` `-rgt-identity_binary64_16436` `--rgt-identity_binary64_16432` `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` `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` `distribute-neg-frac_binary64_16410` `distribute-frac-neg_binary64_16409` `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_16392` `associate-/l_binary64_16391` `associate-/r_binary64_16390` `associate-l/_binary64_16389` `associate-r/_binary64_16388`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	70
1	81	70
2	184	70
3	311	70
4	481	70
5	994	70
6	980	70
7	1163	70
8	1206	70
9	1224	70
10	1226	70
11	1268	70
12	1236	70
13	1236	70
14	1236	70
15	1124	70
0	4	4
1	4	4

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
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
23.4%	74.9%	1.8%	11
27.3%	69.4%	3.3%	12
36.6%	56.5%	6.8%	13
40.5%	52%	7.4%	14

Symmetry

(sort y t)

Compiler

Compiled 10 to 9 computations (10% saved)

sample29.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
2.0ms	63×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify30.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

112×	`distribute-rgt-in_binary64_16396`
90×	`associate-l_binary64_16387`
87×	`associate-r_binary64_16386`
83×	`cancel-sign-sub-inv_binary64_16412`
76×	`distribute-lft-in_binary64_16395`
74×	`unsub-neg_binary64_16440`
53×	`sub-neg_binary64_16439`
44×	`distribute-rgt-neg-out_binary64_16406`
41×	`distribute-rgt-neg-in_binary64_16404`
39×	`distribute-lft-neg-out_binary64_16405`
34×	`associate--r+_binary64_16382`
33×	`neg-sub0_binary64_16441`
31×	`*-commutative_binary64_16377`
28×	`distribute-neg-in_binary64_16407`
27×	`neg-mul-1_binary64_16442`
24×	`mul0-rgt_binary64_16429` `mul0-lft_binary64_16428`
22×	`associate-+l-_binary64_16381`
18×	`distribute-lft-neg-in_binary64_16403`
14×	`sub0-neg_binary64_16433`
11×	`+-commutative_binary64_16376`
10×	`*-lft-identity_binary64_16435` `remove-double-neg_binary64_16434`
9×	`*-rgt-identity_binary64_16436` `distribute-rgt-out--_binary64_16400`
7×	`--rgt-identity_binary64_16432`
6×	`+-lft-identity_binary64_16430` `associate--r-_binary64_16385` `associate-+l+_binary64_16379`
5×	`distribute-rgt-out_binary64_16399` `associate--l+_binary64_16383`
2×	`mul-1-neg_binary64_16438` `+-rgt-identity_binary64_16431` `distribute-lft-out_binary64_16397` `associate-+r-_binary64_16380` `associate-+r+_binary64_16378`
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` `times-frac_binary64_16452` `div-sub_binary64_16451` `/-rgt-identity_binary64_16437` `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` `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-neg-frac_binary64_16410` `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_16393` `associate-/r/_binary64_16392` `associate-/l_binary64_16391` `associate-/r_binary64_16390` `associate-l/_binary64_16389` `associate-*r/_binary64_16388` `associate--l-_binary64_16384`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	19	10
2	41	10
3	87	10
4	140	10
5	194	10
6	279	10
7	406	10
8	573	10
9	512	10
10	501	10
11	501	10
12	438	10

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.1b

Counts

2 → 2

Compiler

Compiled 23 to 22 computations (4.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.3b	(-.f64 (.f64 x y) (.f64 z y))
5.9b	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)

rewrite47.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-sqr-sqrt_binary64_16468`
4×	`pow1_binary64_16507` `add-exp-log_binary64_16484` `add-log-exp_binary64_16485` `add-cbrt-cube_binary64_16482` `add-cube-cbrt_binary64_16481` `-un-lft-identity_binary64_16446` `associate-l*_binary64_16387`
3×	`associate-r_binary64_16386`
2×	`flip3--_binary64_16450` `associate-*l/_binary64_16389` `flip--_binary64_16421` `distribute-rgt-out--_binary64_16400`
1×	`pow-prod-down_binary64_16517` `prod-exp_binary64_16495` `cbrt-unprod_binary64_16479` `unswap-sqr_binary64_16414` `*-commutative_binary64_16377` `diff-log_binary64_16538` `sub-neg_binary64_16439` `cancel-sign-sub-inv_binary64_16412`

Counts

2 → 34

Calls

2 calls:

7.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)
4.0ms	(-.f64 (.f64 x y) (.f64 z y))

Compiler

Compiled 597 to 117 computations (80.4% saved)

series476.0ms (5.2%)

Error

0.1b

Counts

2 → 33

Calls

2 calls:

311.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)
148.0ms	(-.f64 (.f64 x y) (.f64 z y))

Compiler

Compiled 729 to 474 computations (35% saved)

simplify75.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

565×	`neg-mul-1_binary64_16442`
280×	`distribute-lft-neg-out_binary64_16405`
269×	`distribute-rgt-neg-out_binary64_16406`
254×	`*-commutative_binary64_16377`
236×	`distribute-rgt-in_binary64_16396`
231×	`distribute-lft-in_binary64_16395`
160×	`exp-prod_binary64_16498`
137×	`cancel-sign-sub-inv_binary64_16412`
121×	`+-commutative_binary64_16376`
110×	`times-frac_binary64_16452` `associate-l_binary64_16387`
105×	`distribute-rgt-neg-in_binary64_16404`
101×	`exp-sum_binary64_16492`
94×	`distribute-lft-neg-in_binary64_16403`
93×	`associate-r_binary64_16386`
92×	`associate-+r+_binary64_16378`
89×	`sqr-pow_binary64_16418`
83×	`unsub-neg_binary64_16440`
81×	`cube-prod_binary64_16474`
78×	`div-sub_binary64_16451` `associate-+l+_binary64_16379`
70×	`log-prod_binary64_16532`
66×	`swap-sqr_binary64_16413`
62×	`distribute-rgt-out_binary64_16399`
60×	`neg-sub0_binary64_16441`
53×	`sub-neg_binary64_16439`
47×	`exp-diff_binary64_16494`
27×	`-rgt-identity_binary64_16436` `-lft-identity_binary64_16435`
26×	`sqr-neg_binary64_16460` `associate-/l*_binary64_16391`
25×	`difference-of-squares_binary64_16415`
20×	`distribute-rgt-out--_binary64_16400` `associate-+l-_binary64_16381`
19×	`exp-neg_binary64_16493` `distribute-lft-out_binary64_16397`
18×	`distribute-neg-in_binary64_16407`
16×	`associate-+r-_binary64_16380`
15×	`unpow3_binary64_16512` `cube-neg_binary64_16473`
14×	`pow-sqr_binary64_16419` `unswap-sqr_binary64_16414`
13×	`cube-mult_binary64_16476`
11×	`mul0-rgt_binary64_16429` `mul0-lft_binary64_16428`
10×	`associate--r+_binary64_16382`
8×	`rem-sqrt-square_binary64_16459` `associate-/r*_binary64_16390`
7×	`+-rgt-identity_binary64_16431`
6×	`cube-unmult_binary64_16483`
5×	`mul-1-neg_binary64_16438` `sub0-neg_binary64_16433`
4×	`distribute-lft-out--_binary64_16398` `associate-*r/_binary64_16388`
3×	`remove-double-neg_binary64_16434` `distribute-frac-neg_binary64_16409`
2×	`unpow1/2_binary64_16510` `associate-/l/_binary64_16393` `associate-*l/_binary64_16389`
1×	`div-exp_binary64_16497` `1-exp_binary64_16490` `exp-1-e_binary64_16489` `count-2_binary64_16394` `associate-/r/_binary64_16392` `associate--r-_binary64_16385`
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` `pow-base-0_binary64_16530` `unpow1/3_binary64_16513` `unpow2_binary64_16511` `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` `rec-exp_binary64_16496` `prod-exp_binary64_16495` `e-exp-1_binary64_16491` `exp-0_binary64_16488` `rem-log-exp_binary64_16487` `rem-exp-log_binary64_16486` `cube-div_binary64_16475` `rem-3cbrt-rft_binary64_16472` `rem-3cbrt-lft_binary64_16471` `rem-cbrt-cube_binary64_16470` `rem-cube-cbrt_binary64_16469` `sqr-abs_binary64_16461` `rem-square-sqrt_binary64_16458` `/-rgt-identity_binary64_16437` `--rgt-identity_binary64_16432` `+-lft-identity_binary64_16430` `div0_binary64_16427` `*-inverses_binary64_16426` `+-inverses_binary64_16425` `lft-mult-inverse_binary64_16424` `rgt-mult-inverse_binary64_16423` `remove-double-div_binary64_16422` `difference-of-sqr--1_binary64_16417` `difference-of-sqr-1_binary64_16416` `cancel-sign-sub_binary64_16411` `distribute-neg-frac_binary64_16410` `distribute-neg-out_binary64_16408` `distribute-rgt1-in_binary64_16402` `distribute-lft1-in_binary64_16401` `associate--l-_binary64_16384` `associate--l+_binary64_16383`

Counts

67 → 60

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	759
1	202	702
2	740	699
3	1875	696
4	4034	696
5	5048	696

prune50.0ms (0.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	52	8	60
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	53	9	62

Error

0.0b

Counts

62 → 9

Compiler

Compiled 769 to 209 computations (72.8% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 y (-.f64 x z))
5.9b	(.f64 t (.f64 y (-.f64 x z)))

rewrite74.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`distribute-rgt-in_binary64_16396` `distribute-lft-in_binary64_16395`
18×	`cancel-sign-sub-inv_binary64_16412`
15×	`add-sqr-sqrt_binary64_16468`
13×	`*-un-lft-identity_binary64_16446`
11×	`add-cube-cbrt_binary64_16481`
9×	`pow1_binary64_16507` `add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482`
6×	`sub-neg_binary64_16439` `associate-r/_binary64_16388` `associate-l_binary64_16387` `associate-r*_binary64_16386`
4×	`pow-prod-down_binary64_16517` `prod-exp_binary64_16495` `cbrt-unprod_binary64_16479`
2×	`add-log-exp_binary64_16485` `flip3--_binary64_16450` `flip--_binary64_16421` `*-commutative_binary64_16377`
1×	`unswap-sqr_binary64_16414` `difference-of-squares_binary64_16415` `distribute-lft-out--_binary64_16398`

Counts

2 → 66

Calls

2 calls:

9.0ms	(.f64 t (.f64 y (-.f64 x z)))
7.0ms	(*.f64 y (-.f64 x z))

Compiler

Compiled 918 to 248 computations (73% saved)

series416.0ms (4.6%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

268.0ms	(.f64 t (.f64 y (-.f64 x z)))
133.0ms	(*.f64 y (-.f64 x z))

Compiler

Compiled 705 to 451 computations (36% saved)

simplify110.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

393×	`exp-prod_binary64_16498`
388×	`distribute-rgt-in_binary64_16396`
383×	`distribute-lft-in_binary64_16395`
355×	`*-commutative_binary64_16377`
333×	`unsub-neg_binary64_16440`
205×	`+-commutative_binary64_16376`
167×	`associate-l_binary64_16387`
165×	`associate-r_binary64_16386`
131×	`sqr-pow_binary64_16418`
127×	`neg-sub0_binary64_16441`
124×	`neg-mul-1_binary64_16442`
122×	`associate-+r+_binary64_16378`
111×	`associate-+l+_binary64_16379`
109×	`div-sub_binary64_16451`
103×	`swap-sqr_binary64_16413`
101×	`exp-sum_binary64_16492`
97×	`times-frac_binary64_16452`
74×	`distribute-rgt-neg-in_binary64_16404`
73×	`distribute-rgt-neg-out_binary64_16406`
70×	`distribute-lft-neg-out_binary64_16405`
68×	`distribute-lft-neg-in_binary64_16403`
56×	`exp-diff_binary64_16494`
51×	`sqr-neg_binary64_16460`
47×	`cancel-sign-sub-inv_binary64_16412`
42×	`sub-neg_binary64_16439`
41×	`*-lft-identity_binary64_16435`
40×	`*-rgt-identity_binary64_16436`
37×	`exp-neg_binary64_16493`
30×	`cube-prod_binary64_16474`
29×	`log-prod_binary64_16532`
25×	`unswap-sqr_binary64_16414`
24×	`associate-/l*_binary64_16391`
22×	`mul0-rgt_binary64_16429` `mul0-lft_binary64_16428`
13×	`associate-+l-_binary64_16381`
12×	`pow-sqr_binary64_16419`
11×	`unpow3_binary64_16512`
10×	`unpow1/2_binary64_16510` `distribute-rgt-out--_binary64_16400`
9×	`associate-*r/_binary64_16388` `associate-+r-_binary64_16380`
8×	`cube-unmult_binary64_16483` `difference-of-squares_binary64_16415`
6×	`sub0-neg_binary64_16433` `+-rgt-identity_binary64_16431` `distribute-rgt-out_binary64_16399`
5×	`associate-/l/_binary64_16393` `associate-/r*_binary64_16390`
4×	`cube-mult_binary64_16476` `cube-neg_binary64_16473` `rem-sqrt-square_binary64_16459` `associate-*l/_binary64_16389`
3×	`mul-1-neg_binary64_16438` `associate-/r/_binary64_16392`
2×	`distribute-lft-out--_binary64_16398` `associate--r+_binary64_16382`
1×	`1-exp_binary64_16490` `exp-1-e_binary64_16489` `rem-3cbrt-lft_binary64_16471` `rem-square-sqrt_binary64_16458` `count-2_binary64_16394`
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` `pow-base-0_binary64_16530` `unpow1/3_binary64_16513` `unpow2_binary64_16511` `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` `div-exp_binary64_16497` `rec-exp_binary64_16496` `prod-exp_binary64_16495` `e-exp-1_binary64_16491` `exp-0_binary64_16488` `rem-log-exp_binary64_16487` `rem-exp-log_binary64_16486` `cube-div_binary64_16475` `rem-3cbrt-rft_binary64_16472` `rem-cbrt-cube_binary64_16470` `rem-cube-cbrt_binary64_16469` `sqr-abs_binary64_16461` `/-rgt-identity_binary64_16437` `remove-double-neg_binary64_16434` `--rgt-identity_binary64_16432` `+-lft-identity_binary64_16430` `div0_binary64_16427` `*-inverses_binary64_16426` `+-inverses_binary64_16425` `lft-mult-inverse_binary64_16424` `rgt-mult-inverse_binary64_16423` `remove-double-div_binary64_16422` `difference-of-sqr--1_binary64_16417` `difference-of-sqr-1_binary64_16416` `cancel-sign-sub_binary64_16411` `distribute-neg-frac_binary64_16410` `distribute-frac-neg_binary64_16409` `distribute-neg-out_binary64_16408` `distribute-neg-in_binary64_16407` `distribute-rgt1-in_binary64_16402` `distribute-lft1-in_binary64_16401` `distribute-lft-out_binary64_16397` `associate--r-_binary64_16385` `associate--l-_binary64_16384` `associate--l+_binary64_16383`

Counts

99 → 68

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	122	1142
1	268	1049
2	900	1049
3	2599	1049
4	4407	1049
5	4980	1049
6	4935	1049

prune44.0ms (0.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	67	10	77

Error

0.0b

Counts

77 → 10

Compiler

Compiled 792 to 173 computations (78.2% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y))) (cbrt.f64 (-.f64 (.f64 x y) (*.f64 z y))))
8.2b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))
8.2b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))
8.2b	(cbrt.f64 (*.f64 y (-.f64 x z)))

rewrite144.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

29×	`cbrt-prod_binary64_16477`
22×	`add-sqr-sqrt_binary64_16468`
18×	`cbrt-div_binary64_16478`
14×	`add-cube-cbrt_binary64_16481` `*-un-lft-identity_binary64_16446`
11×	`pow1_binary64_16507`
9×	`pow1/3_binary64_16528` `flip3--_binary64_16450` `flip--_binary64_16421`
7×	`swap-sqr_binary64_16413` `associate-l_binary64_16387` `associate-r_binary64_16386`
6×	`add-exp-log_binary64_16484` `distribute-rgt-out--_binary64_16400`
4×	`add-log-exp_binary64_16485` `add-cbrt-cube_binary64_16482` `associate-*r/_binary64_16388` `frac-times_binary64_16456` `unswap-sqr_binary64_16414`
2×	`pow-prod-down_binary64_16517` `pow-prod-up_binary64_16516` `pow-sqr_binary64_16419` `associate-*l/_binary64_16389`
1×	`pow2_binary64_16527` `pow-plus_binary64_16509` `prod-exp_binary64_16495` `cbrt-unprod_binary64_16479` `*-commutative_binary64_16377`

Counts

4 → 90

Calls

4 calls:

14.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y))) (cbrt.f64 (-.f64 (.f64 x y) (*.f64 z y))))
7.0ms	(cbrt.f64 (*.f64 y (-.f64 x z)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))

Compiler

Compiled 3401 to 394 computations (88.4% saved)

series1.8s (19.8%)

Error

0.0b

Counts

4 → 66

Calls

4 calls:

517.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y))) (cbrt.f64 (-.f64 (.f64 x y) (*.f64 z y))))
397.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))
388.0ms	(cbrt.f64 (*.f64 y (-.f64 x z)))
372.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))

Compiler

Compiled 6988 to 4647 computations (33.5% saved)

simplify160.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

708×	`times-frac_binary64_16452`
207×	`exp-prod_binary64_16498`
189×	`cancel-sign-sub-inv_binary64_16412`
182×	`distribute-rgt-neg-in_binary64_16404`
177×	`distribute-lft-neg-in_binary64_16403`
166×	`associate-r_binary64_16386`
161×	`distribute-rgt-in_binary64_16396`
141×	`*-commutative_binary64_16377`
131×	`associate-l_binary64_16387`
129×	`unswap-sqr_binary64_16414`
118×	`sub-neg_binary64_16439`
103×	`sqr-pow_binary64_16418`
89×	`distribute-neg-frac_binary64_16410`
85×	`neg-sub0_binary64_16441`
84×	`neg-mul-1_binary64_16442`
64×	`associate-/l*_binary64_16391`
63×	`exp-sum_binary64_16492`
58×	`+-commutative_binary64_16376`
53×	`distribute-rgt-out_binary64_16399`
49×	`log-prod_binary64_16532`
45×	`associate-*r/_binary64_16388`
36×	`unsub-neg_binary64_16440`
34×	`distribute-lft-neg-out_binary64_16405`
33×	`distribute-neg-in_binary64_16407`
31×	`associate-/r*_binary64_16390`
30×	`exp-to-pow_binary64_16508`
28×	`unpow1/3_binary64_16513` `distribute-lft-out_binary64_16397`
27×	`distribute-rgt-neg-out_binary64_16406` `associate-*l/_binary64_16389`
23×	`distribute-lft-in_binary64_16395`
17×	`log-pow_binary64_16535` `pow-sqr_binary64_16419`
16×	`distribute-neg-out_binary64_16408` `distribute-rgt-out--_binary64_16400` `associate--r+_binary64_16382`
15×	`exp-lft-sqr_binary64_16501` `div-sub_binary64_16451` `associate-/r/_binary64_16392`
14×	`cube-prod_binary64_16474`
13×	`exp-diff_binary64_16494`
11×	`pow-plus_binary64_16509` `*-rgt-identity_binary64_16436`
10×	`unpow3_binary64_16512` `*-lft-identity_binary64_16435`
9×	`associate-+l+_binary64_16379`
8×	`difference-of-squares_binary64_16415` `swap-sqr_binary64_16413` `associate-+r+_binary64_16378`
7×	`unpow2_binary64_16511` `unpow1/2_binary64_16510` `distribute-lft-out--_binary64_16398` `associate--r-_binary64_16385`
6×	`log-div_binary64_16533` `unpow1_binary64_16504` `remove-double-neg_binary64_16434` `associate--l+_binary64_16383`
5×	`cube-mult_binary64_16476`
4×	`cube-unmult_binary64_16483`
3×	`log-rec_binary64_16534` `rem-3cbrt-lft_binary64_16471` `rem-sqrt-square_binary64_16459`
2×	`distribute-frac-neg_binary64_16409`
1×	`1-exp_binary64_16490` `exp-1-e_binary64_16489` `rem-3cbrt-rft_binary64_16472` `rem-square-sqrt_binary64_16458` `mul-1-neg_binary64_16438` `div0_binary64_16427` `count-2_binary64_16394`
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` `pow-base-0_binary64_16530` `pow-base-1_binary64_16506` `unpow0_binary64_16505` `unpow-1_binary64_16503` `exp-lft-cube_binary64_16502` `exp-cbrt_binary64_16500` `exp-sqrt_binary64_16499` `div-exp_binary64_16497` `rec-exp_binary64_16496` `prod-exp_binary64_16495` `exp-neg_binary64_16493` `e-exp-1_binary64_16491` `exp-0_binary64_16488` `rem-log-exp_binary64_16487` `rem-exp-log_binary64_16486` `cube-div_binary64_16475` `cube-neg_binary64_16473` `rem-cbrt-cube_binary64_16470` `rem-cube-cbrt_binary64_16469` `sqr-abs_binary64_16461` `sqr-neg_binary64_16460` `/-rgt-identity_binary64_16437` `sub0-neg_binary64_16433` `--rgt-identity_binary64_16432` `+-rgt-identity_binary64_16431` `+-lft-identity_binary64_16430` `mul0-rgt_binary64_16429` `mul0-lft_binary64_16428` `*-inverses_binary64_16426` `+-inverses_binary64_16425` `lft-mult-inverse_binary64_16424` `rgt-mult-inverse_binary64_16423` `remove-double-div_binary64_16422` `difference-of-sqr--1_binary64_16417` `difference-of-sqr-1_binary64_16416` `cancel-sign-sub_binary64_16411` `distribute-rgt1-in_binary64_16402` `distribute-lft1-in_binary64_16401` `associate-/l/_binary64_16393` `associate--l-_binary64_16384` `associate-+l-_binary64_16381` `associate-+r-_binary64_16380`

Counts

156 → 135

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	290	4588
1	725	4360
2	2065	4112
3	4892	3965
4	5072	3965

prune192.0ms (2.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	133	2	135
Fresh	3	5	8
Picked	0	1	1
Done	0	1	1
Total	136	9	145

Error

0.0b

Counts

145 → 9

Compiler

Compiled 4760 to 1356 computations (71.5% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 x z))
0.6b	(cbrt.f64 y)
8.2b	(cbrt.f64 (*.f64 y (-.f64 x z)))
8.2b	(cbrt.f64 (*.f64 y (-.f64 x z)))

rewrite68.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`cbrt-prod_binary64_16477`
8×	`add-sqr-sqrt_binary64_16468` `*-un-lft-identity_binary64_16446`
6×	`add-cube-cbrt_binary64_16481` `cbrt-div_binary64_16478`
4×	`pow1/3_binary64_16528` `pow1_binary64_16507` `add-log-exp_binary64_16485` `add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482` `associate-*r/_binary64_16388`
3×	`flip3--_binary64_16450` `flip--_binary64_16421`
1×	`difference-of-squares_binary64_16415` `distribute-lft-out--_binary64_16398`

Counts

4 → 48

Calls

4 calls:

7.0ms	(cbrt.f64 (*.f64 y (-.f64 x z)))
5.0ms	(cbrt.f64 (*.f64 y (-.f64 x z)))
3.0ms	(cbrt.f64 (-.f64 x z))
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1404 to 258 computations (81.6% saved)

series1.1s (11.8%)

Error

0.0b

Counts

4 → 43

Calls

4 calls:

395.0ms	(cbrt.f64 (*.f64 y (-.f64 x z)))
395.0ms	(cbrt.f64 (*.f64 y (-.f64 x z)))
111.0ms	(cbrt.f64 y)
106.0ms	(cbrt.f64 (-.f64 x z))

Compiler

Compiled 4245 to 2723 computations (35.9% saved)

simplify120.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

467×	`associate-r_binary64_16386`
381×	`associate-l_binary64_16387`
341×	`times-frac_binary64_16452`
269×	`associate-/l*_binary64_16391`
208×	`associate-/r*_binary64_16390`
93×	`log-prod_binary64_16532`
85×	`distribute-rgt-neg-in_binary64_16404`
84×	`distribute-lft-neg-in_binary64_16403`
80×	`distribute-rgt-in_binary64_16396`
78×	`cancel-sign-sub-inv_binary64_16412`
71×	`distribute-lft-in_binary64_16395`
70×	`associate-/r/_binary64_16392`
67×	`sub-neg_binary64_16439` `sqr-pow_binary64_16418`
66×	`associate-*r/_binary64_16388`
63×	`*-commutative_binary64_16377`
62×	`associate-*l/_binary64_16389`
61×	`unswap-sqr_binary64_16414`
46×	`associate-+r-_binary64_16380`
44×	`neg-sub0_binary64_16441`
40×	`exp-sum_binary64_16492` `neg-mul-1_binary64_16442`
39×	`distribute-neg-frac_binary64_16410`
38×	`log-div_binary64_16533`
35×	`associate-+l+_binary64_16379`
33×	`associate--l+_binary64_16383`
32×	`+-commutative_binary64_16376`
28×	`associate--r+_binary64_16382` `associate-+l-_binary64_16381`
25×	`associate--r-_binary64_16385`
22×	`exp-prod_binary64_16498`
21×	`log-pow_binary64_16535`
20×	`distribute-neg-in_binary64_16407`
19×	`unpow1/3_binary64_16513`
18×	`unsub-neg_binary64_16440`
13×	`distribute-lft-neg-out_binary64_16405`
9×	`div-sub_binary64_16451` `distribute-rgt-neg-out_binary64_16406`
8×	`pow-sqr_binary64_16419` `associate--l-_binary64_16384`
7×	`exp-diff_binary64_16494` `distribute-neg-out_binary64_16408` `distribute-lft-out_binary64_16397`
5×	`log-rec_binary64_16534` `rem-sqrt-square_binary64_16459` `distribute-rgt-out_binary64_16399`
4×	`cube-unmult_binary64_16483` `mul-1-neg_binary64_16438` `difference-of-squares_binary64_16415` `associate-+r+_binary64_16378`
3×	`rem-3cbrt-lft_binary64_16471` `remove-double-neg_binary64_16434`
2×	`unpow3_binary64_16512` `unpow2_binary64_16511` `unpow1/2_binary64_16510` `exp-to-pow_binary64_16508` `unpow1_binary64_16504` `cube-mult_binary64_16476` `cube-prod_binary64_16474` `distribute-frac-neg_binary64_16409` `distribute-lft-out--_binary64_16398`
1×	`1-exp_binary64_16490` `count-2_binary64_16394`
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` `pow-base-0_binary64_16530` `pow-plus_binary64_16509` `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` `prod-exp_binary64_16495` `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-div_binary64_16475` `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-square-sqrt_binary64_16458` `/-rgt-identity_binary64_16437` `-rgt-identity_binary64_16436` `-lft-identity_binary64_16435` `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` `difference-of-sqr--1_binary64_16417` `difference-of-sqr-1_binary64_16416` `swap-sqr_binary64_16413` `cancel-sign-sub_binary64_16411` `distribute-rgt1-in_binary64_16402` `distribute-lft1-in_binary64_16401` `distribute-rgt-out--_binary64_16400` `associate-/l/_binary64_16393`

Counts

91 → 51

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	168	1779
1	393	1749
2	1053	1692
3	4852	1688
4	4993	1688
5	4958	1688

prune75.0ms (0.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	51	9	60

Error

0.0b

Counts

60 → 9

Compiler

Compiled 1695 to 540 computations (68.1% saved)

regimes1.1s (12.5%)

Accuracy

Total 1.0b remaining (99%)

Threshold costs 0b (0%)

Compiler

Compiled 8420 to 4931 computations (41.4% saved)

bsearch3.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64_16377`
5×	`sub-neg_binary64_16439` `+-commutative_binary64_16376`
3×	`neg-mul-1_binary64_16442` `neg-sub0_binary64_16441`
2×	`cancel-sign-sub-inv_binary64_16412` `distribute-rgt-neg-in_binary64_16404`
1×	`if-if-or-not_binary64_16704` `distribute-lft-neg-out_binary64_16405` `distribute-lft-neg-in_binary64_16403`
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_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` `1-exp_binary64_16490` `exp-1-e_binary64_16489` `exp-0_binary64_16488` `sqr-abs_binary64_16461` `sqr-neg_binary64_16460` `unsub-neg_binary64_16440` `mul-1-neg_binary64_16438` `/-rgt-identity_binary64_16437` `-rgt-identity_binary64_16436` `-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` `cancel-sign-sub_binary64_16411` `distribute-neg-frac_binary64_16410` `distribute-frac-neg_binary64_16409` `distribute-neg-out_binary64_16408` `distribute-neg-in_binary64_16407` `distribute-rgt-neg-out_binary64_16406`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	105
1	47	105
2	58	105
3	64	105
4	68	105
5	69	105
6	69	105

Compiler

Compiled 142 to 56 computations (60.6% saved)

end0.0ms (0%)

sample1.9s (20.6%)

Algorithm

1×

intervals

Results

239.0ms	8000×	body	128	valid
55.0ms	1865×	body	128	invalid

Compiler

Compiled 1453 to 842 computations (42.1% saved)

Iter	Nodes	Cost
0	9	10
1	19	10
2	41	10
3	87	10
4	140	10
5	194	10
6	279	10
7	406	10
8	573	10
9	512	10
10	501	10
11	501	10
12	438	10

Iter	Nodes	Cost
0	9	10
1	19	10
2	41	10
3	87	10
4	140	10
5	194	10
6	279	10
7	406	10
8	573	10
9	512	10
10	501	10
11	501	10
12	438	10

Details

analyze1.0s (11.5%)

sample29.0ms (0.3%)

simplify30.0ms (0.3%)

prune4.0ms (0%)

localize6.0ms (0.1%)

rewrite47.0ms (0.5%)

series476.0ms (5.2%)

simplify75.0ms (0.8%)

prune50.0ms (0.6%)

localize5.0ms (0.1%)

rewrite74.0ms (0.8%)

series416.0ms (4.6%)

simplify110.0ms (1.2%)

prune44.0ms (0.5%)

localize14.0ms (0.2%)

rewrite144.0ms (1.6%)

series1.8s (19.8%)

simplify160.0ms (1.8%)

prune192.0ms (2.1%)

localize14.0ms (0.2%)

rewrite68.0ms (0.7%)

series1.1s (11.8%)

simplify120.0ms (1.3%)

prune75.0ms (0.8%)

regimes1.1s (12.5%)

bsearch3.0ms (0%)

simplify17.0ms (0.2%)

end0.0ms (0%)

sample1.9s (20.6%)

Profiling

Iter	Nodes	Cost
0	9	10
1	19	10
2	41	10
3	87	10
4	140	10
5	194	10
6	279	10
7	406	10
8	573	10
9	512	10
10	501	10
11	501	10
12	438	10