Details

analyze887.0ms (6.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

531×	`div-sub_binary64_15428`
513×	`distribute-rgt-in_binary64_15373`
452×	`neg-mul-1_binary64_15419`
446×	`distribute-lft-in_binary64_15372`
365×	`neg-sub0_binary64_15418`
329×	`sub-neg_binary64_15416`
256×	`cancel-sign-sub-inv_binary64_15389`
166×	`distribute-frac-neg_binary64_15386`
133×	`distribute-rgt-neg-out_binary64_15383`
125×	`+-commutative_binary64_15353`
107×	`distribute-neg-in_binary64_15384`
96×	`distribute-lft-neg-out_binary64_15382` `associate-/l*_binary64_15368`
93×	`distribute-neg-frac_binary64_15387`
70×	`distribute-rgt-neg-in_binary64_15381`
67×	`associate-+l-_binary64_15358`
58×	`unsub-neg_binary64_15417` `associate-/r/_binary64_15369`
56×	`associate-+l+_binary64_15356`
55×	`associate--r+_binary64_15359` `*-commutative_binary64_15354`
43×	`sub0-neg_binary64_15410` `associate-+r-_binary64_15357`
41×	`associate-/l/_binary64_15370`
38×	`distribute-rgt-out_binary64_15376`
28×	`associate-+r+_binary64_15355`
27×	`associate-/r*_binary64_15367`
26×	`+-rgt-identity_binary64_15408` `distribute-lft-neg-in_binary64_15380`
24×	`distribute-rgt-out--_binary64_15377`
23×	`distribute-neg-out_binary64_15385`
16×	`distribute-lft-out_binary64_15374`
14×	`times-frac_binary64_15429` `associate--r-_binary64_15362` `associate--l+_binary64_15360`
13×	`associate-*r/_binary64_15365`
10×	`remove-double-neg_binary64_15411` `div0_binary64_15404` `distribute-rgt1-in_binary64_15379`
7×	`--rgt-identity_binary64_15409` `associate--l-_binary64_15361`
4×	`mul0-rgt_binary64_15406` `mul0-lft_binary64_15405` `*-inverses_binary64_15403`
1×	`1-exp_binary64_15467`
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_15686` `erf-erfc_binary64_15685` `erf-odd_binary64_15684` `if-if-and-not_binary64_15683` `if-if-and_binary64_15682` `if-if-or-not_binary64_15681` `if-if-or_binary64_15680` `if-not_binary64_15679` `if-same_binary64_15678` `if-false_binary64_15677` `if-true_binary64_15676` `not-gte_binary64_15675` `not-lte_binary64_15674` `not-gt_binary64_15673` `not-lt_binary64_15672` `gte-same_binary64_15671` `lte-same_binary64_15670` `gt-same_binary64_15669` `lt-same_binary64_15668` `sinh---cosh_binary64_15615` `sinh-+-cosh_binary64_15614` `sinh-cosh_binary64_15613` `tanh-def-c_binary64_15612` `tanh-def-b_binary64_15611` `tanh-def-a_binary64_15610` `cosh-def_binary64_15609` `sinh-def_binary64_15608` `tan-neg_binary64_15555` `cos-neg_binary64_15554` `sin-neg_binary64_15553` `tan-0_binary64_15552` `cos-0_binary64_15551` `sin-0_binary64_15550` `hang-m-tan_binary64_15549` `hang-p-tan_binary64_15548` `hang-m0-tan_binary64_15547` `hang-p0-tan_binary64_15546` `hang-0m-tan_binary64_15545` `hang-0p-tan_binary64_15544` `tan-+PI/2_binary64_15543` `tan-+PI_binary64_15542` `tan-PI_binary64_15541` `tan-PI/3_binary64_15540` `tan-PI/4_binary64_15539` `tan-PI/6_binary64_15538` `cos-+PI/2_binary64_15537` `cos-+PI_binary64_15536` `cos-PI_binary64_15535` `cos-PI/2_binary64_15534` `cos-PI/3_binary64_15533` `cos-PI/4_binary64_15532` `cos-PI/6_binary64_15531` `sin-+PI/2_binary64_15530` `sin-+PI_binary64_15529` `sin-PI_binary64_15528` `sin-PI/2_binary64_15527` `sin-PI/3_binary64_15526` `sin-PI/4_binary64_15525` `sin-PI/6_binary64_15524` `sub-1-sin_binary64_15523` `sub-1-cos_binary64_15522` `-1-add-sin_binary64_15521` `-1-add-cos_binary64_15520` `1-sub-sin_binary64_15519` `1-sub-cos_binary64_15518` `cos-sin-sum_binary64_15517` `log-E_binary64_15513` `log-pow_binary64_15512` `log-rec_binary64_15511` `log-div_binary64_15510` `log-prod_binary64_15509` `pow-base-0_binary64_15507` `unpow1/3_binary64_15490` `unpow3_binary64_15489` `unpow2_binary64_15488` `unpow1/2_binary64_15487` `pow-plus_binary64_15486` `exp-to-pow_binary64_15485` `pow-base-1_binary64_15483` `unpow0_binary64_15482` `unpow1_binary64_15481` `unpow-1_binary64_15480` `exp-lft-cube_binary64_15479` `exp-lft-sqr_binary64_15478` `exp-cbrt_binary64_15477` `exp-sqrt_binary64_15476` `exp-prod_binary64_15475` `div-exp_binary64_15474` `rec-exp_binary64_15473` `prod-exp_binary64_15472` `exp-diff_binary64_15471` `exp-neg_binary64_15470` `exp-sum_binary64_15469` `e-exp-1_binary64_15468` `exp-1-e_binary64_15466` `exp-0_binary64_15465` `rem-log-exp_binary64_15464` `rem-exp-log_binary64_15463` `cube-unmult_binary64_15460` `cube-mult_binary64_15453` `cube-div_binary64_15452` `cube-prod_binary64_15451` `cube-neg_binary64_15450` `rem-3cbrt-rft_binary64_15449` `rem-3cbrt-lft_binary64_15448` `rem-cbrt-cube_binary64_15447` `rem-cube-cbrt_binary64_15446` `sqr-abs_binary64_15438` `sqr-neg_binary64_15437` `rem-sqrt-square_binary64_15436` `rem-square-sqrt_binary64_15435` `mul-1-neg_binary64_15415` `/-rgt-identity_binary64_15414` `-rgt-identity_binary64_15413` `-lft-identity_binary64_15412` `+-lft-identity_binary64_15407` `+-inverses_binary64_15402` `lft-mult-inverse_binary64_15401` `rgt-mult-inverse_binary64_15400` `remove-double-div_binary64_15399` `pow-sqr_binary64_15396` `sqr-pow_binary64_15395` `difference-of-sqr--1_binary64_15394` `difference-of-sqr-1_binary64_15393` `difference-of-squares_binary64_15392` `unswap-sqr_binary64_15391` `swap-sqr_binary64_15390` `cancel-sign-sub_binary64_15388` `distribute-lft1-in_binary64_15378` `distribute-lft-out--_binary64_15375` `count-2_binary64_15371` `associate-l/_binary64_15366` `associate-l_binary64_15364` `associate-r*_binary64_15363`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	175
1	98	175
2	183	175
3	396	175
4	845	175
5	1777	175
6	4573	175
7	5124	175
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
3.1%	96.7%	0.2%	7
6.2%	93.6%	0.2%	8
8.6%	91.2%	0.2%	9
28.1%	71.7%	0.2%	10
31%	68.8%	0.2%	11
40.5%	59.3%	0.2%	12
49.6%	50.2%	0.2%	13
59%	40.8%	0.2%	14

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample24.0ms (0.2%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
1.0ms	12×	body	128	invalid

Compiler

Compiled 35 to 31 computations (11.4% saved)

simplify65.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

553×	`neg-mul-1_binary64_15419`
548×	`neg-sub0_binary64_15418`
509×	`times-frac_binary64_15429`
367×	`unsub-neg_binary64_15417`
336×	`associate-/l*_binary64_15368`
316×	`distribute-neg-frac_binary64_15387`
290×	`div-sub_binary64_15428`
241×	`distribute-rgt-in_binary64_15373`
233×	`sub-neg_binary64_15416`
231×	`distribute-frac-neg_binary64_15386`
210×	`distribute-lft-in_binary64_15372`
190×	`associate-r_binary64_15363`
164×	`distribute-neg-out_binary64_15385`
162×	`associate-/r_binary64_15367` `associate-l*_binary64_15364`
149×	`cancel-sign-sub-inv_binary64_15389`
147×	`cancel-sign-sub_binary64_15388`
129×	`distribute-neg-in_binary64_15384`
101×	`associate-*l/_binary64_15366`
91×	`associate-*r/_binary64_15365`
82×	`associate-/l/_binary64_15370`
76×	`*-commutative_binary64_15354`
68×	`distribute-rgt-neg-in_binary64_15381`
67×	`distribute-lft-neg-out_binary64_15382`
64×	`associate-/r/_binary64_15369`
58×	`distribute-rgt-neg-out_binary64_15383` `distribute-lft-neg-in_binary64_15380`
42×	`associate--r+_binary64_15359` `+-commutative_binary64_15353`
37×	`associate-+l+_binary64_15356`
36×	`associate-+r+_binary64_15355`
34×	`/-rgt-identity_binary64_15414`
33×	`*-lft-identity_binary64_15412` `mul0-rgt_binary64_15406`
32×	`mul0-lft_binary64_15405` `associate--r-_binary64_15362` `associate-+l-_binary64_15358`
29×	`associate--l+_binary64_15360`
27×	`associate--l-_binary64_15361`
25×	`*-rgt-identity_binary64_15413` `associate-+r-_binary64_15357`
24×	`sub0-neg_binary64_15410`
21×	`div0_binary64_15404`
20×	`remove-double-neg_binary64_15411`
10×	`+-rgt-identity_binary64_15408`
8×	`remove-double-div_binary64_15399`
7×	`distribute-rgt-out_binary64_15376`
6×	`distribute-rgt-out--_binary64_15377`
5×	`mul-1-neg_binary64_15415`
4×	`+-lft-identity_binary64_15407` `swap-sqr_binary64_15390`
3×	`distribute-rgt1-in_binary64_15379` `distribute-lft-out--_binary64_15375` `distribute-lft-out_binary64_15374`
2×	`sqr-neg_binary64_15437` `*-inverses_binary64_15403`
1×	`1-exp_binary64_15467` `--rgt-identity_binary64_15409` `distribute-lft1-in_binary64_15378`
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_15686` `erf-erfc_binary64_15685` `erf-odd_binary64_15684` `if-if-and-not_binary64_15683` `if-if-and_binary64_15682` `if-if-or-not_binary64_15681` `if-if-or_binary64_15680` `if-not_binary64_15679` `if-same_binary64_15678` `if-false_binary64_15677` `if-true_binary64_15676` `not-gte_binary64_15675` `not-lte_binary64_15674` `not-gt_binary64_15673` `not-lt_binary64_15672` `gte-same_binary64_15671` `lte-same_binary64_15670` `gt-same_binary64_15669` `lt-same_binary64_15668` `sinh---cosh_binary64_15615` `sinh-+-cosh_binary64_15614` `sinh-cosh_binary64_15613` `tanh-def-c_binary64_15612` `tanh-def-b_binary64_15611` `tanh-def-a_binary64_15610` `cosh-def_binary64_15609` `sinh-def_binary64_15608` `tan-neg_binary64_15555` `cos-neg_binary64_15554` `sin-neg_binary64_15553` `tan-0_binary64_15552` `cos-0_binary64_15551` `sin-0_binary64_15550` `hang-m-tan_binary64_15549` `hang-p-tan_binary64_15548` `hang-m0-tan_binary64_15547` `hang-p0-tan_binary64_15546` `hang-0m-tan_binary64_15545` `hang-0p-tan_binary64_15544` `tan-+PI/2_binary64_15543` `tan-+PI_binary64_15542` `tan-PI_binary64_15541` `tan-PI/3_binary64_15540` `tan-PI/4_binary64_15539` `tan-PI/6_binary64_15538` `cos-+PI/2_binary64_15537` `cos-+PI_binary64_15536` `cos-PI_binary64_15535` `cos-PI/2_binary64_15534` `cos-PI/3_binary64_15533` `cos-PI/4_binary64_15532` `cos-PI/6_binary64_15531` `sin-+PI/2_binary64_15530` `sin-+PI_binary64_15529` `sin-PI_binary64_15528` `sin-PI/2_binary64_15527` `sin-PI/3_binary64_15526` `sin-PI/4_binary64_15525` `sin-PI/6_binary64_15524` `sub-1-sin_binary64_15523` `sub-1-cos_binary64_15522` `-1-add-sin_binary64_15521` `-1-add-cos_binary64_15520` `1-sub-sin_binary64_15519` `1-sub-cos_binary64_15518` `cos-sin-sum_binary64_15517` `log-E_binary64_15513` `log-pow_binary64_15512` `log-rec_binary64_15511` `log-div_binary64_15510` `log-prod_binary64_15509` `pow-base-0_binary64_15507` `unpow1/3_binary64_15490` `unpow3_binary64_15489` `unpow2_binary64_15488` `unpow1/2_binary64_15487` `pow-plus_binary64_15486` `exp-to-pow_binary64_15485` `pow-base-1_binary64_15483` `unpow0_binary64_15482` `unpow1_binary64_15481` `unpow-1_binary64_15480` `exp-lft-cube_binary64_15479` `exp-lft-sqr_binary64_15478` `exp-cbrt_binary64_15477` `exp-sqrt_binary64_15476` `exp-prod_binary64_15475` `div-exp_binary64_15474` `rec-exp_binary64_15473` `prod-exp_binary64_15472` `exp-diff_binary64_15471` `exp-neg_binary64_15470` `exp-sum_binary64_15469` `e-exp-1_binary64_15468` `exp-1-e_binary64_15466` `exp-0_binary64_15465` `rem-log-exp_binary64_15464` `rem-exp-log_binary64_15463` `cube-unmult_binary64_15460` `cube-mult_binary64_15453` `cube-div_binary64_15452` `cube-prod_binary64_15451` `cube-neg_binary64_15450` `rem-3cbrt-rft_binary64_15449` `rem-3cbrt-lft_binary64_15448` `rem-cbrt-cube_binary64_15447` `rem-cube-cbrt_binary64_15446` `sqr-abs_binary64_15438` `rem-sqrt-square_binary64_15436` `rem-square-sqrt_binary64_15435` `+-inverses_binary64_15402` `lft-mult-inverse_binary64_15401` `rgt-mult-inverse_binary64_15400` `pow-sqr_binary64_15396` `sqr-pow_binary64_15395` `difference-of-sqr--1_binary64_15394` `difference-of-sqr-1_binary64_15393` `difference-of-squares_binary64_15392` `unswap-sqr_binary64_15391` `count-2_binary64_15371`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	25
1	26	25
2	41	25
3	78	25
4	165	25
5	344	25
6	1012	25
7	3230	25
8	4176	25
9	4892	25

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

7.1b

Counts

2 → 1

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 y z) x)
0.0b	(+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x)))
0.3b	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
8.9b	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))

rewrite190.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

7.0b

Rules

45×	`*-un-lft-identity_binary64_15423`
25×	`times-frac_binary64_15429`
23×	`add-cube-cbrt_binary64_15458` `add-sqr-sqrt_binary64_15445`
11×	`distribute-lft-out_binary64_15374`
8×	`add-exp-log_binary64_15461` `add-log-exp_binary64_15462` `add-cbrt-cube_binary64_15459`
7×	`associate-/l_binary64_15368` `associate-/r_binary64_15367`
4×	`pow1_binary64_15484` `div-sub_binary64_15428` `associate-/l/_binary64_15370` `associate-/r/_binary64_15369`
3×	`flip3--_binary64_15427` `flip--_binary64_15398` `flip3-+_binary64_15426` `flip-+_binary64_15397` `cancel-sign-sub-inv_binary64_15389`
2×	`div-exp_binary64_15474` `cbrt-undiv_binary64_15457` `frac-2neg_binary64_15434` `clear-num_binary64_15422` `div-inv_binary64_15420` `associate-+r-_binary64_15357`
1×	`sum-log_binary64_15514` `+-commutative_binary64_15353` `diff-log_binary64_15515` `sub-neg_binary64_15416`

Counts

4 → 100

Calls

4 calls:

21.0ms	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
12.0ms	(+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x)))
10.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))
4.0ms	(-.f64 (*.f64 y z) x)

Compiler

Compiled 2967 to 756 computations (74.5% saved)

series1.6s (12%)

Error

0.8b

Counts

4 → 96

Calls

4 calls:

650.0ms	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
413.0ms	(+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x)))
347.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))
127.0ms	(-.f64 (*.f64 y z) x)

Compiler

Compiled 5706 to 3663 computations (35.8% saved)

simplify133.0ms (1%)

Algorithm

1×	egg-herbie

Rules

619×	`distribute-rgt-in_binary64_15373`
328×	`cancel-sign-sub-inv_binary64_15389`
228×	`sub-neg_binary64_15416`
212×	`times-frac_binary64_15429`
200×	`associate-/l*_binary64_15368`
164×	`div-sub_binary64_15428`
160×	`+-commutative_binary64_15353`
139×	`associate-/r*_binary64_15367`
129×	`associate-+r+_binary64_15355`
114×	`distribute-neg-in_binary64_15384`
113×	`associate-+l+_binary64_15356`
102×	`distribute-neg-frac_binary64_15387`
89×	`distribute-lft-in_binary64_15372`
87×	`associate--l+_binary64_15360`
73×	`unswap-sqr_binary64_15391`
71×	`distribute-rgt-neg-in_binary64_15381` `associate-l_binary64_15364`
68×	`neg-mul-1_binary64_15419` `neg-sub0_binary64_15418`
65×	`associate-r_binary64_15363`
64×	`*-commutative_binary64_15354`
61×	`distribute-lft-neg-in_binary64_15380`
52×	`associate--r+_binary64_15359`
49×	`unsub-neg_binary64_15417`
43×	`associate-/r/_binary64_15369`
42×	`distribute-rgt-out_binary64_15376` `associate-*l/_binary64_15366`
40×	`sqr-pow_binary64_15395`
38×	`distribute-lft-neg-out_binary64_15382`
37×	`associate-/l/_binary64_15370`
34×	`associate-*r/_binary64_15365`
30×	`distribute-rgt-neg-out_binary64_15383`
23×	`*-rgt-identity_binary64_15413`
21×	`exp-prod_binary64_15475`
14×	`cube-prod_binary64_15451` `*-lft-identity_binary64_15412` `distribute-rgt-out--_binary64_15377`
13×	`exp-sum_binary64_15469`
12×	`/-rgt-identity_binary64_15414`
11×	`exp-diff_binary64_15471`
9×	`unpow3_binary64_15489` `difference-of-squares_binary64_15392` `distribute-lft-out_binary64_15374`
8×	`cube-div_binary64_15452`
7×	`cube-mult_binary64_15453`
6×	`cube-unmult_binary64_15460`
5×	`log-div_binary64_15510` `swap-sqr_binary64_15390`
4×	`associate--r-_binary64_15362` `associate-+l-_binary64_15358`
3×	`unpow2_binary64_15488` `unpow1/2_binary64_15487` `unpow1_binary64_15481` `*-inverses_binary64_15403` `distribute-rgt1-in_binary64_15379` `associate-+r-_binary64_15357`
2×	`log-prod_binary64_15509` `mul-1-neg_binary64_15415` `remove-double-neg_binary64_15411` `+-rgt-identity_binary64_15408` `div0_binary64_15404` `distribute-lft1-in_binary64_15378` `distribute-lft-out--_binary64_15375`
1×	`div-exp_binary64_15474` `prod-exp_binary64_15472` `1-exp_binary64_15467` `rem-3cbrt-lft_binary64_15448` `rem-sqrt-square_binary64_15436` `rem-square-sqrt_binary64_15435` `sub0-neg_binary64_15410` `pow-sqr_binary64_15396` `difference-of-sqr--1_binary64_15394` `difference-of-sqr-1_binary64_15393` `associate--l-_binary64_15361`
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_15686` `erf-erfc_binary64_15685` `erf-odd_binary64_15684` `if-if-and-not_binary64_15683` `if-if-and_binary64_15682` `if-if-or-not_binary64_15681` `if-if-or_binary64_15680` `if-not_binary64_15679` `if-same_binary64_15678` `if-false_binary64_15677` `if-true_binary64_15676` `not-gte_binary64_15675` `not-lte_binary64_15674` `not-gt_binary64_15673` `not-lt_binary64_15672` `gte-same_binary64_15671` `lte-same_binary64_15670` `gt-same_binary64_15669` `lt-same_binary64_15668` `sinh---cosh_binary64_15615` `sinh-+-cosh_binary64_15614` `sinh-cosh_binary64_15613` `tanh-def-c_binary64_15612` `tanh-def-b_binary64_15611` `tanh-def-a_binary64_15610` `cosh-def_binary64_15609` `sinh-def_binary64_15608` `tan-neg_binary64_15555` `cos-neg_binary64_15554` `sin-neg_binary64_15553` `tan-0_binary64_15552` `cos-0_binary64_15551` `sin-0_binary64_15550` `hang-m-tan_binary64_15549` `hang-p-tan_binary64_15548` `hang-m0-tan_binary64_15547` `hang-p0-tan_binary64_15546` `hang-0m-tan_binary64_15545` `hang-0p-tan_binary64_15544` `tan-+PI/2_binary64_15543` `tan-+PI_binary64_15542` `tan-PI_binary64_15541` `tan-PI/3_binary64_15540` `tan-PI/4_binary64_15539` `tan-PI/6_binary64_15538` `cos-+PI/2_binary64_15537` `cos-+PI_binary64_15536` `cos-PI_binary64_15535` `cos-PI/2_binary64_15534` `cos-PI/3_binary64_15533` `cos-PI/4_binary64_15532` `cos-PI/6_binary64_15531` `sin-+PI/2_binary64_15530` `sin-+PI_binary64_15529` `sin-PI_binary64_15528` `sin-PI/2_binary64_15527` `sin-PI/3_binary64_15526` `sin-PI/4_binary64_15525` `sin-PI/6_binary64_15524` `sub-1-sin_binary64_15523` `sub-1-cos_binary64_15522` `-1-add-sin_binary64_15521` `-1-add-cos_binary64_15520` `1-sub-sin_binary64_15519` `1-sub-cos_binary64_15518` `cos-sin-sum_binary64_15517` `log-E_binary64_15513` `log-pow_binary64_15512` `log-rec_binary64_15511` `pow-base-0_binary64_15507` `unpow1/3_binary64_15490` `pow-plus_binary64_15486` `exp-to-pow_binary64_15485` `pow-base-1_binary64_15483` `unpow0_binary64_15482` `unpow-1_binary64_15480` `exp-lft-cube_binary64_15479` `exp-lft-sqr_binary64_15478` `exp-cbrt_binary64_15477` `exp-sqrt_binary64_15476` `rec-exp_binary64_15473` `exp-neg_binary64_15470` `e-exp-1_binary64_15468` `exp-1-e_binary64_15466` `exp-0_binary64_15465` `rem-log-exp_binary64_15464` `rem-exp-log_binary64_15463` `cube-neg_binary64_15450` `rem-3cbrt-rft_binary64_15449` `rem-cbrt-cube_binary64_15447` `rem-cube-cbrt_binary64_15446` `sqr-abs_binary64_15438` `sqr-neg_binary64_15437` `--rgt-identity_binary64_15409` `+-lft-identity_binary64_15407` `mul0-rgt_binary64_15406` `mul0-lft_binary64_15405` `+-inverses_binary64_15402` `lft-mult-inverse_binary64_15401` `rgt-mult-inverse_binary64_15400` `remove-double-div_binary64_15399` `cancel-sign-sub_binary64_15388` `distribute-frac-neg_binary64_15386` `distribute-neg-out_binary64_15385` `count-2_binary64_15371`

Counts

196 → 141

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	301	5010
1	894	4849
2	3165	4720
3	5245	4720

prune171.0ms (1.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	134	7	141
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	135	7	142

Error

0.0b

Counts

142 → 7

Compiler

Compiled 4003 to 1145 computations (71.4% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.2b	(cbrt.f64 (/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x)))
8.9b	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
8.9b	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
8.9b	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))

rewrite247.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

36×	`times-frac_binary64_15429`
35×	`add-cube-cbrt_binary64_15458` `add-sqr-sqrt_binary64_15445` `*-un-lft-identity_binary64_15423`
15×	`cbrt-prod_binary64_15454`
10×	`add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459`
9×	`associate-/l_binary64_15368` `associate-/r_binary64_15367`
8×	`associate-/r/_binary64_15369`
7×	`flip3--_binary64_15427` `flip--_binary64_15398`
6×	`associate-/l/_binary64_15370`
4×	`pow1_binary64_15484` `add-log-exp_binary64_15462` `div-inv_binary64_15420`
3×	`div-exp_binary64_15474` `cbrt-undiv_binary64_15457` `frac-2neg_binary64_15434` `div-sub_binary64_15428` `clear-num_binary64_15422`
1×	`pow1/3_binary64_15505` `cbrt-div_binary64_15455`

Counts

4 → 120

Calls

4 calls:

14.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
10.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
10.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
8.0ms	(cbrt.f64 (/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x)))

Compiler

Compiled 6751 to 1007 computations (85.1% saved)

series1.7s (12.3%)

Error

0.0b

Counts

4 → 85

Calls

4 calls:

587.0ms	(cbrt.f64 (/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x)))
346.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
327.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
306.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))

Compiler

Compiled 11462 to 4707 computations (58.9% saved)

simplify133.0ms (1%)

Algorithm

1×	egg-herbie

Rules

701×	`times-frac_binary64_15429`
609×	`associate-/l*_binary64_15368`
241×	`associate-/r/_binary64_15369`
198×	`distribute-rgt-in_binary64_15373`
179×	`distribute-lft-in_binary64_15372`
162×	`associate-/l/_binary64_15370`
127×	`cancel-sign-sub-inv_binary64_15389`
103×	`distribute-lft-neg-in_binary64_15380`
101×	`distribute-rgt-neg-in_binary64_15381`
90×	`sub-neg_binary64_15416`
86×	`associate-r_binary64_15363`
84×	`distribute-neg-frac_binary64_15387`
83×	`div-sub_binary64_15428`
77×	`*-commutative_binary64_15354`
63×	`associate-l_binary64_15364`
58×	`associate-/r*_binary64_15367`
49×	`sqr-pow_binary64_15395`
48×	`neg-sub0_binary64_15418`
46×	`neg-mul-1_binary64_15419`
41×	`associate-*r/_binary64_15365`
38×	`associate-*l/_binary64_15366` `+-commutative_binary64_15353`
37×	`unswap-sqr_binary64_15391`
22×	`exp-sum_binary64_15469` `distribute-lft-neg-out_binary64_15382`
20×	`exp-prod_binary64_15475` `distribute-rgt-neg-out_binary64_15383`
18×	`unsub-neg_binary64_15417`
17×	`exp-diff_binary64_15471`
14×	`distribute-rgt-out_binary64_15376`
12×	`associate--l+_binary64_15360`
11×	`distribute-neg-in_binary64_15384`
10×	`log-div_binary64_15510` `*-rgt-identity_binary64_15413`
9×	`associate-+l+_binary64_15356`
8×	`unpow1/3_binary64_15490`
6×	`/-rgt-identity_binary64_15414` `swap-sqr_binary64_15390` `distribute-rgt-out--_binary64_15377` `associate--r+_binary64_15359` `associate-+l-_binary64_15358`
5×	`log-prod_binary64_15509` `cube-unmult_binary64_15460` `cube-prod_binary64_15451` `pow-sqr_binary64_15396`
4×	`unpow3_binary64_15489` `cube-mult_binary64_15453` `distribute-lft-out_binary64_15374` `associate--r-_binary64_15362` `associate-+r-_binary64_15357` `associate-+r+_binary64_15355`
3×	`log-pow_binary64_15512` `unpow2_binary64_15488` `unpow1/2_binary64_15487` `exp-to-pow_binary64_15485` `unpow1_binary64_15481` `difference-of-squares_binary64_15392` `distribute-lft-out--_binary64_15375`
2×	`log-rec_binary64_15511` `exp-neg_binary64_15470` `cube-div_binary64_15452` `mul-1-neg_binary64_15415` `remove-double-neg_binary64_15411` `*-inverses_binary64_15403` `associate--l-_binary64_15361`
1×	`pow-plus_binary64_15486` `1-exp_binary64_15467` `rem-3cbrt-lft_binary64_15448` `*-lft-identity_binary64_15412` `div0_binary64_15404`
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_15686` `erf-erfc_binary64_15685` `erf-odd_binary64_15684` `if-if-and-not_binary64_15683` `if-if-and_binary64_15682` `if-if-or-not_binary64_15681` `if-if-or_binary64_15680` `if-not_binary64_15679` `if-same_binary64_15678` `if-false_binary64_15677` `if-true_binary64_15676` `not-gte_binary64_15675` `not-lte_binary64_15674` `not-gt_binary64_15673` `not-lt_binary64_15672` `gte-same_binary64_15671` `lte-same_binary64_15670` `gt-same_binary64_15669` `lt-same_binary64_15668` `sinh---cosh_binary64_15615` `sinh-+-cosh_binary64_15614` `sinh-cosh_binary64_15613` `tanh-def-c_binary64_15612` `tanh-def-b_binary64_15611` `tanh-def-a_binary64_15610` `cosh-def_binary64_15609` `sinh-def_binary64_15608` `tan-neg_binary64_15555` `cos-neg_binary64_15554` `sin-neg_binary64_15553` `tan-0_binary64_15552` `cos-0_binary64_15551` `sin-0_binary64_15550` `hang-m-tan_binary64_15549` `hang-p-tan_binary64_15548` `hang-m0-tan_binary64_15547` `hang-p0-tan_binary64_15546` `hang-0m-tan_binary64_15545` `hang-0p-tan_binary64_15544` `tan-+PI/2_binary64_15543` `tan-+PI_binary64_15542` `tan-PI_binary64_15541` `tan-PI/3_binary64_15540` `tan-PI/4_binary64_15539` `tan-PI/6_binary64_15538` `cos-+PI/2_binary64_15537` `cos-+PI_binary64_15536` `cos-PI_binary64_15535` `cos-PI/2_binary64_15534` `cos-PI/3_binary64_15533` `cos-PI/4_binary64_15532` `cos-PI/6_binary64_15531` `sin-+PI/2_binary64_15530` `sin-+PI_binary64_15529` `sin-PI_binary64_15528` `sin-PI/2_binary64_15527` `sin-PI/3_binary64_15526` `sin-PI/4_binary64_15525` `sin-PI/6_binary64_15524` `sub-1-sin_binary64_15523` `sub-1-cos_binary64_15522` `-1-add-sin_binary64_15521` `-1-add-cos_binary64_15520` `1-sub-sin_binary64_15519` `1-sub-cos_binary64_15518` `cos-sin-sum_binary64_15517` `log-E_binary64_15513` `pow-base-0_binary64_15507` `pow-base-1_binary64_15483` `unpow0_binary64_15482` `unpow-1_binary64_15480` `exp-lft-cube_binary64_15479` `exp-lft-sqr_binary64_15478` `exp-cbrt_binary64_15477` `exp-sqrt_binary64_15476` `div-exp_binary64_15474` `rec-exp_binary64_15473` `prod-exp_binary64_15472` `e-exp-1_binary64_15468` `exp-1-e_binary64_15466` `exp-0_binary64_15465` `rem-log-exp_binary64_15464` `rem-exp-log_binary64_15463` `cube-neg_binary64_15450` `rem-3cbrt-rft_binary64_15449` `rem-cbrt-cube_binary64_15447` `rem-cube-cbrt_binary64_15446` `sqr-abs_binary64_15438` `sqr-neg_binary64_15437` `rem-sqrt-square_binary64_15436` `rem-square-sqrt_binary64_15435` `sub0-neg_binary64_15410` `--rgt-identity_binary64_15409` `+-rgt-identity_binary64_15408` `+-lft-identity_binary64_15407` `mul0-rgt_binary64_15406` `mul0-lft_binary64_15405` `+-inverses_binary64_15402` `lft-mult-inverse_binary64_15401` `rgt-mult-inverse_binary64_15400` `remove-double-div_binary64_15399` `difference-of-sqr--1_binary64_15394` `difference-of-sqr-1_binary64_15393` `cancel-sign-sub_binary64_15388` `distribute-frac-neg_binary64_15386` `distribute-neg-out_binary64_15385` `distribute-rgt1-in_binary64_15379` `distribute-lft1-in_binary64_15378` `count-2_binary64_15371`

Counts

205 → 94

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	196	4918
1	542	4709
2	1693	4636
3	5319	4636

prune147.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	94	7	101

Error

0.0b

Counts

101 → 7

Compiler

Compiled 4782 to 865 computations (81.9% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 z y) x)
0.1b	(.f64 (/.f64 (+.f64 x (/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))) (+.f64 -1 (.f64 x x))) (-.f64 x 1))
8.9b	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
13.4b	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))) (+.f64 -1 (*.f64 x x)))

rewrite261.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

50×	`*-un-lft-identity_binary64_15423`
42×	`add-sqr-sqrt_binary64_15445`
34×	`times-frac_binary64_15429`
33×	`add-cube-cbrt_binary64_15458`
18×	`associate-l_binary64_15364`
13×	`add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459`
9×	`cancel-sign-sub-inv_binary64_15389`
7×	`distribute-lft-out_binary64_15374` `associate-/l_binary64_15368` `associate-r*_binary64_15363`
6×	`pow1_binary64_15484` `add-log-exp_binary64_15462` `associate-/r/_binary64_15369` `associate-/r*_binary64_15367`
5×	`flip3--_binary64_15427` `flip--_binary64_15398`
4×	`associate-/l/_binary64_15370` `distribute-rgt-in_binary64_15373` `distribute-lft-in_binary64_15372`
3×	`div-exp_binary64_15474` `cbrt-undiv_binary64_15457` `div-sub_binary64_15428` `div-inv_binary64_15420` `flip3-+_binary64_15426` `flip-+_binary64_15397` `sub-neg_binary64_15416`
2×	`frac-2neg_binary64_15434` `clear-num_binary64_15422` `prod-exp_binary64_15472` `cbrt-unprod_binary64_15456` `frac-times_binary64_15433` `unswap-sqr_binary64_15391` `associate-*r/_binary64_15365` `difference-of-squares_binary64_15392`
1×	`associate-+r-_binary64_15357` `pow-prod-down_binary64_15494` `associate-l/_binary64_15366` `difference-of-sqr-1_binary64_15393` `distribute-lft-out--_binary64_15375` `-commutative_binary64_15354` `diff-log_binary64_15515`

Counts

4 → 135

Calls

4 calls:

29.0ms	(.f64 (/.f64 (+.f64 x (/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))) (+.f64 -1 (.f64 x x))) (-.f64 x 1))
17.0ms	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))) (+.f64 -1 (*.f64 x x)))
10.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
4.0ms	(-.f64 (*.f64 z y) x)

Compiler

Compiled 5136 to 1584 computations (69.2% saved)

series2.4s (17.7%)

Error

0.0b

Counts

4 → 96

Calls

4 calls:

1.1s	(.f64 (/.f64 (+.f64 x (/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))) (+.f64 -1 (.f64 x x))) (-.f64 x 1))
669.0ms	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))) (+.f64 -1 (*.f64 x x)))
374.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
125.0ms	(-.f64 (*.f64 z y) x)

Compiler

Compiled 8942 to 6059 computations (32.2% saved)

simplify193.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

412×	`times-frac_binary64_15429`
348×	`associate-/l*_binary64_15368`
278×	`associate-/r*_binary64_15367`
193×	`associate-l_binary64_15364`
174×	`associate-r_binary64_15363`
173×	`distribute-rgt-in_binary64_15373`
154×	`distribute-lft-in_binary64_15372`
136×	`associate--l+_binary64_15360`
117×	`sub-neg_binary64_15416`
111×	`associate--r+_binary64_15359`
101×	`associate-*l/_binary64_15366`
87×	`+-commutative_binary64_15353`
76×	`*-commutative_binary64_15354`
67×	`associate-*r/_binary64_15365`
56×	`associate-/r/_binary64_15369`
48×	`div-sub_binary64_15428`
47×	`associate-+r+_binary64_15355`
45×	`distribute-neg-in_binary64_15384`
44×	`cube-prod_binary64_15451`
42×	`neg-sub0_binary64_15418`
40×	`neg-mul-1_binary64_15419` `associate-/l/_binary64_15370`
38×	`cancel-sign-sub-inv_binary64_15389`
37×	`exp-prod_binary64_15475`
33×	`log-prod_binary64_15509`
22×	`sqr-pow_binary64_15395`
20×	`distribute-neg-frac_binary64_15387`
19×	`log-div_binary64_15510` `distribute-rgt-neg-in_binary64_15381`
18×	`cube-div_binary64_15452`
15×	`distribute-lft-neg-in_binary64_15380`
13×	`cube-unmult_binary64_15460`
10×	`swap-sqr_binary64_15390`
9×	`unswap-sqr_binary64_15391`
8×	`/-rgt-identity_binary64_15414`
7×	`unpow3_binary64_15489` `cube-mult_binary64_15453` `mul-1-neg_binary64_15415` `distribute-lft-neg-out_binary64_15382`
6×	`exp-diff_binary64_15471` `associate-+l-_binary64_15358`
5×	`exp-sum_binary64_15469` `*-rgt-identity_binary64_15413` `distribute-rgt-neg-out_binary64_15383`
4×	`difference-of-squares_binary64_15392`
3×	`unpow2_binary64_15488` `unpow1/2_binary64_15487` `pow-plus_binary64_15486` `unpow1_binary64_15481` `*-lft-identity_binary64_15412` `difference-of-sqr--1_binary64_15394` `distribute-rgt-out--_binary64_15377` `associate--r-_binary64_15362`
2×	`rem-3cbrt-lft_binary64_15448` `unsub-neg_binary64_15417` `*-inverses_binary64_15403` `distribute-rgt1-in_binary64_15379` `associate-+r-_binary64_15357`
1×	`div-exp_binary64_15474` `1-exp_binary64_15467` `exp-1-e_binary64_15466` `rem-square-sqrt_binary64_15435` `remove-double-neg_binary64_15411` `pow-sqr_binary64_15396` `difference-of-sqr-1_binary64_15393` `distribute-rgt-out_binary64_15376` `distribute-lft-out_binary64_15374` `associate--l-_binary64_15361`
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_15686` `erf-erfc_binary64_15685` `erf-odd_binary64_15684` `if-if-and-not_binary64_15683` `if-if-and_binary64_15682` `if-if-or-not_binary64_15681` `if-if-or_binary64_15680` `if-not_binary64_15679` `if-same_binary64_15678` `if-false_binary64_15677` `if-true_binary64_15676` `not-gte_binary64_15675` `not-lte_binary64_15674` `not-gt_binary64_15673` `not-lt_binary64_15672` `gte-same_binary64_15671` `lte-same_binary64_15670` `gt-same_binary64_15669` `lt-same_binary64_15668` `sinh---cosh_binary64_15615` `sinh-+-cosh_binary64_15614` `sinh-cosh_binary64_15613` `tanh-def-c_binary64_15612` `tanh-def-b_binary64_15611` `tanh-def-a_binary64_15610` `cosh-def_binary64_15609` `sinh-def_binary64_15608` `tan-neg_binary64_15555` `cos-neg_binary64_15554` `sin-neg_binary64_15553` `tan-0_binary64_15552` `cos-0_binary64_15551` `sin-0_binary64_15550` `hang-m-tan_binary64_15549` `hang-p-tan_binary64_15548` `hang-m0-tan_binary64_15547` `hang-p0-tan_binary64_15546` `hang-0m-tan_binary64_15545` `hang-0p-tan_binary64_15544` `tan-+PI/2_binary64_15543` `tan-+PI_binary64_15542` `tan-PI_binary64_15541` `tan-PI/3_binary64_15540` `tan-PI/4_binary64_15539` `tan-PI/6_binary64_15538` `cos-+PI/2_binary64_15537` `cos-+PI_binary64_15536` `cos-PI_binary64_15535` `cos-PI/2_binary64_15534` `cos-PI/3_binary64_15533` `cos-PI/4_binary64_15532` `cos-PI/6_binary64_15531` `sin-+PI/2_binary64_15530` `sin-+PI_binary64_15529` `sin-PI_binary64_15528` `sin-PI/2_binary64_15527` `sin-PI/3_binary64_15526` `sin-PI/4_binary64_15525` `sin-PI/6_binary64_15524` `sub-1-sin_binary64_15523` `sub-1-cos_binary64_15522` `-1-add-sin_binary64_15521` `-1-add-cos_binary64_15520` `1-sub-sin_binary64_15519` `1-sub-cos_binary64_15518` `cos-sin-sum_binary64_15517` `log-E_binary64_15513` `log-pow_binary64_15512` `log-rec_binary64_15511` `pow-base-0_binary64_15507` `unpow1/3_binary64_15490` `exp-to-pow_binary64_15485` `pow-base-1_binary64_15483` `unpow0_binary64_15482` `unpow-1_binary64_15480` `exp-lft-cube_binary64_15479` `exp-lft-sqr_binary64_15478` `exp-cbrt_binary64_15477` `exp-sqrt_binary64_15476` `rec-exp_binary64_15473` `prod-exp_binary64_15472` `exp-neg_binary64_15470` `e-exp-1_binary64_15468` `exp-0_binary64_15465` `rem-log-exp_binary64_15464` `rem-exp-log_binary64_15463` `cube-neg_binary64_15450` `rem-3cbrt-rft_binary64_15449` `rem-cbrt-cube_binary64_15447` `rem-cube-cbrt_binary64_15446` `sqr-abs_binary64_15438` `sqr-neg_binary64_15437` `rem-sqrt-square_binary64_15436` `sub0-neg_binary64_15410` `--rgt-identity_binary64_15409` `+-rgt-identity_binary64_15408` `+-lft-identity_binary64_15407` `mul0-rgt_binary64_15406` `mul0-lft_binary64_15405` `div0_binary64_15404` `+-inverses_binary64_15402` `lft-mult-inverse_binary64_15401` `rgt-mult-inverse_binary64_15400` `remove-double-div_binary64_15399` `cancel-sign-sub_binary64_15388` `distribute-frac-neg_binary64_15386` `distribute-neg-out_binary64_15385` `distribute-lft1-in_binary64_15378` `distribute-lft-out--_binary64_15375` `count-2_binary64_15371` `associate-+l+_binary64_15356`

Counts

231 → 208

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	426	8185
1	1263	7754
2	4806	7748
3	4968	7748

prune292.0ms (2.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	208	0	208
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	208	7	215

Error

0.0b

Counts

215 → 7

Compiler

Compiled 7332 to 2412 computations (67.1% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.7b	(-.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 y (.f64 t (+.f64 x 1)))) (/.f64 x (.f64 t (*.f64 z (+.f64 x 1)))))
2.2b	(.f64 t (.f64 z (+.f64 x 1)))
3.1b	(/.f64 y (*.f64 t (+.f64 x 1)))
7.0b	(/.f64 x (.f64 t (.f64 z (+.f64 x 1))))

rewrite226.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459`
16×	`*-un-lft-identity_binary64_15423`
14×	`associate-*r/_binary64_15365`
13×	`add-sqr-sqrt_binary64_15445`
11×	`add-cube-cbrt_binary64_15458`
9×	`pow1_binary64_15484` `add-log-exp_binary64_15462` `times-frac_binary64_15429` `cancel-sign-sub-inv_binary64_15389`
7×	`prod-exp_binary64_15472` `cbrt-unprod_binary64_15456`
6×	`associate-/r/_binary64_15369` `associate-/l*_binary64_15368`
5×	`div-exp_binary64_15474` `cbrt-undiv_binary64_15457` `flip3-+_binary64_15426` `flip-+_binary64_15397`
4×	`distribute-rgt-in_binary64_15373` `distribute-lft-in_binary64_15372`
3×	`div-inv_binary64_15420` `pow-prod-down_binary64_15494` `associate-l_binary64_15364` `frac-sub_binary64_15432`
2×	`frac-2neg_binary64_15434` `clear-num_binary64_15422` `associate-/r*_binary64_15367` `diff-log_binary64_15515` `distribute-lft-out--_binary64_15375`
1×	`associate-r_binary64_15363` `*-commutative_binary64_15354` `sum-log_binary64_15514` `frac-add_binary64_15431` `flip3--_binary64_15427` `sub-neg_binary64_15416` `flip--_binary64_15398` `difference-of-squares_binary64_15392` `distribute-lft-out_binary64_15374` `associate--l+_binary64_15360`

Counts

4 → 100

Calls

4 calls:

26.0ms	(-.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 y (.f64 t (+.f64 x 1)))) (/.f64 x (.f64 t (*.f64 z (+.f64 x 1)))))
11.0ms	(.f64 t (.f64 z (+.f64 x 1)))
9.0ms	(/.f64 x (.f64 t (.f64 z (+.f64 x 1))))
7.0ms	(/.f64 y (*.f64 t (+.f64 x 1)))

Compiler

Compiled 3355 to 2080 computations (38% saved)

series1.4s (10.5%)

Error

0.0b

Counts

4 → 66

Calls

4 calls:

748.0ms	(-.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 y (.f64 t (+.f64 x 1)))) (/.f64 x (.f64 t (*.f64 z (+.f64 x 1)))))
246.0ms	(/.f64 x (.f64 t (.f64 z (+.f64 x 1))))
186.0ms	(/.f64 y (*.f64 t (+.f64 x 1)))
181.0ms	(.f64 t (.f64 z (+.f64 x 1)))

Compiler

Compiled 4016 to 2693 computations (32.9% saved)

simplify117.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

377×	`cancel-sign-sub-inv_binary64_15389`
261×	`times-frac_binary64_15429`
244×	`associate-r_binary64_15363`
229×	`sub-neg_binary64_15416`
226×	`associate-l_binary64_15364`
213×	`associate-/r*_binary64_15367`
203×	`distribute-neg-frac_binary64_15387`
170×	`distribute-rgt-in_binary64_15373`
160×	`distribute-lft-in_binary64_15372`
144×	`*-commutative_binary64_15354`
133×	`associate-/l*_binary64_15368`
120×	`+-commutative_binary64_15353`
100×	`neg-sub0_binary64_15418`
97×	`neg-mul-1_binary64_15419`
82×	`associate-*l/_binary64_15366` `associate-+r+_binary64_15355`
80×	`associate-*r/_binary64_15365`
78×	`associate-+l+_binary64_15356`
77×	`exp-prod_binary64_15475`
56×	`associate--l+_binary64_15360`
54×	`associate--r+_binary64_15359`
51×	`log-prod_binary64_15509`
50×	`unsub-neg_binary64_15417`
48×	`cube-prod_binary64_15451`
42×	`sqr-pow_binary64_15395`
37×	`swap-sqr_binary64_15390` `distribute-rgt-neg-in_binary64_15381`
35×	`cube-div_binary64_15452`
31×	`distribute-neg-in_binary64_15384`
30×	`/-rgt-identity_binary64_15414` `*-rgt-identity_binary64_15413`
29×	`log-div_binary64_15510` `div-sub_binary64_15428`
24×	`*-lft-identity_binary64_15412`
22×	`distribute-lft-neg-in_binary64_15380`
19×	`distribute-lft-neg-out_binary64_15382`
18×	`unswap-sqr_binary64_15391` `associate-/r/_binary64_15369`
17×	`exp-sum_binary64_15469`
14×	`unpow3_binary64_15489`
10×	`cube-mult_binary64_15453`
8×	`distribute-rgt-neg-out_binary64_15383`
7×	`exp-diff_binary64_15471` `associate-+r-_binary64_15357`
6×	`associate-/l/_binary64_15370`
5×	`div-exp_binary64_15474` `cube-unmult_binary64_15460` `difference-of-squares_binary64_15392` `distribute-rgt1-in_binary64_15379` `distribute-rgt-out_binary64_15376`
4×	`log-rec_binary64_15511` `+-rgt-identity_binary64_15408`
3×	`div0_binary64_15404`
2×	`rem-sqrt-square_binary64_15436` `mul-1-neg_binary64_15415` `associate-+l-_binary64_15358`
1×	`log-pow_binary64_15512` `unpow2_binary64_15488` `unpow1/2_binary64_15487` `unpow1_binary64_15481` `prod-exp_binary64_15472` `1-exp_binary64_15467` `rem-3cbrt-lft_binary64_15448` `rem-square-sqrt_binary64_15435` `remove-double-neg_binary64_15411` `pow-sqr_binary64_15396` `difference-of-sqr--1_binary64_15394` `difference-of-sqr-1_binary64_15393` `distribute-rgt-out--_binary64_15377` `distribute-lft-out_binary64_15374`
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_15686` `erf-erfc_binary64_15685` `erf-odd_binary64_15684` `if-if-and-not_binary64_15683` `if-if-and_binary64_15682` `if-if-or-not_binary64_15681` `if-if-or_binary64_15680` `if-not_binary64_15679` `if-same_binary64_15678` `if-false_binary64_15677` `if-true_binary64_15676` `not-gte_binary64_15675` `not-lte_binary64_15674` `not-gt_binary64_15673` `not-lt_binary64_15672` `gte-same_binary64_15671` `lte-same_binary64_15670` `gt-same_binary64_15669` `lt-same_binary64_15668` `sinh---cosh_binary64_15615` `sinh-+-cosh_binary64_15614` `sinh-cosh_binary64_15613` `tanh-def-c_binary64_15612` `tanh-def-b_binary64_15611` `tanh-def-a_binary64_15610` `cosh-def_binary64_15609` `sinh-def_binary64_15608` `tan-neg_binary64_15555` `cos-neg_binary64_15554` `sin-neg_binary64_15553` `tan-0_binary64_15552` `cos-0_binary64_15551` `sin-0_binary64_15550` `hang-m-tan_binary64_15549` `hang-p-tan_binary64_15548` `hang-m0-tan_binary64_15547` `hang-p0-tan_binary64_15546` `hang-0m-tan_binary64_15545` `hang-0p-tan_binary64_15544` `tan-+PI/2_binary64_15543` `tan-+PI_binary64_15542` `tan-PI_binary64_15541` `tan-PI/3_binary64_15540` `tan-PI/4_binary64_15539` `tan-PI/6_binary64_15538` `cos-+PI/2_binary64_15537` `cos-+PI_binary64_15536` `cos-PI_binary64_15535` `cos-PI/2_binary64_15534` `cos-PI/3_binary64_15533` `cos-PI/4_binary64_15532` `cos-PI/6_binary64_15531` `sin-+PI/2_binary64_15530` `sin-+PI_binary64_15529` `sin-PI_binary64_15528` `sin-PI/2_binary64_15527` `sin-PI/3_binary64_15526` `sin-PI/4_binary64_15525` `sin-PI/6_binary64_15524` `sub-1-sin_binary64_15523` `sub-1-cos_binary64_15522` `-1-add-sin_binary64_15521` `-1-add-cos_binary64_15520` `1-sub-sin_binary64_15519` `1-sub-cos_binary64_15518` `cos-sin-sum_binary64_15517` `log-E_binary64_15513` `pow-base-0_binary64_15507` `unpow1/3_binary64_15490` `pow-plus_binary64_15486` `exp-to-pow_binary64_15485` `pow-base-1_binary64_15483` `unpow0_binary64_15482` `unpow-1_binary64_15480` `exp-lft-cube_binary64_15479` `exp-lft-sqr_binary64_15478` `exp-cbrt_binary64_15477` `exp-sqrt_binary64_15476` `rec-exp_binary64_15473` `exp-neg_binary64_15470` `e-exp-1_binary64_15468` `exp-1-e_binary64_15466` `exp-0_binary64_15465` `rem-log-exp_binary64_15464` `rem-exp-log_binary64_15463` `cube-neg_binary64_15450` `rem-3cbrt-rft_binary64_15449` `rem-cbrt-cube_binary64_15447` `rem-cube-cbrt_binary64_15446` `sqr-abs_binary64_15438` `sqr-neg_binary64_15437` `sub0-neg_binary64_15410` `--rgt-identity_binary64_15409` `+-lft-identity_binary64_15407` `mul0-rgt_binary64_15406` `mul0-lft_binary64_15405` `*-inverses_binary64_15403` `+-inverses_binary64_15402` `lft-mult-inverse_binary64_15401` `rgt-mult-inverse_binary64_15400` `remove-double-div_binary64_15399` `cancel-sign-sub_binary64_15388` `distribute-frac-neg_binary64_15386` `distribute-neg-out_binary64_15385` `distribute-lft1-in_binary64_15378` `distribute-lft-out--_binary64_15375` `count-2_binary64_15371` `associate--r-_binary64_15362` `associate--l-_binary64_15361`

Counts

166 → 138

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	303	3838
1	833	3634
2	3650	3630
3	5018	3630

prune178.0ms (1.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	136	2	138
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	138	7	145

Error

0.0b

Counts

145 → 7

Compiler

Compiled 3977 to 1703 computations (57.2% saved)

regimes1.1s (7.7%)

Accuracy

Total 2.4b remaining (98.2%)

Threshold costs 0b (0%)

Compiler

Compiled 9660 to 6802 computations (29.6% saved)

bsearch6.0ms (0%)

Compiler: Compiled 17 to 13 computations (23.5% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

15×	`+-commutative_binary64_15353`
9×	`sub-neg_binary64_15416` `*-commutative_binary64_15354`
4×	`neg-mul-1_binary64_15419` `neg-sub0_binary64_15418`
3×	`distribute-neg-frac_binary64_15387`
1×	`1-exp_binary64_15467`
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_15683` `if-if-and_binary64_15682` `if-if-or-not_binary64_15681` `if-if-or_binary64_15680` `if-not_binary64_15679` `if-same_binary64_15678` `if-false_binary64_15677` `if-true_binary64_15676` `tan-0_binary64_15552` `cos-0_binary64_15551` `sin-0_binary64_15550` `unpow1_binary64_15481` `e-exp-1_binary64_15468` `exp-1-e_binary64_15466` `exp-0_binary64_15465` `sqr-abs_binary64_15438` `sqr-neg_binary64_15437` `unsub-neg_binary64_15417` `mul-1-neg_binary64_15415` `/-rgt-identity_binary64_15414` `-rgt-identity_binary64_15413` `-lft-identity_binary64_15412` `remove-double-neg_binary64_15411` `sub0-neg_binary64_15410` `--rgt-identity_binary64_15409` `+-rgt-identity_binary64_15408` `+-lft-identity_binary64_15407` `cancel-sign-sub-inv_binary64_15389` `cancel-sign-sub_binary64_15388` `distribute-frac-neg_binary64_15386` `distribute-neg-out_binary64_15385` `distribute-neg-in_binary64_15384` `distribute-rgt-neg-out_binary64_15383` `distribute-lft-neg-out_binary64_15382` `distribute-rgt-neg-in_binary64_15381` `distribute-lft-neg-in_binary64_15380`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	159
1	62	159
2	79	159
3	87	159
4	91	159
5	90	159

end0.0ms (0%)

sample2.1s (15.5%)

Algorithm

1×

intervals

Results

370.0ms	8000×	body	128	valid
15.0ms	346×	body	128	invalid

Compiler

Compiled 2055 to 1418 computations (31% saved)

Details

analyze887.0ms (6.5%)

sample24.0ms (0.2%)

simplify65.0ms (0.5%)

prune3.0ms (0%)

localize11.0ms (0.1%)

rewrite190.0ms (1.4%)

series1.6s (12%)

simplify133.0ms (1%)

prune171.0ms (1.3%)

localize16.0ms (0.1%)

rewrite247.0ms (1.8%)

series1.7s (12.3%)

simplify133.0ms (1%)

prune147.0ms (1.1%)

localize15.0ms (0.1%)

rewrite261.0ms (1.9%)

series2.4s (17.7%)

simplify193.0ms (1.4%)

prune292.0ms (2.1%)

localize13.0ms (0.1%)

rewrite226.0ms (1.6%)

series1.4s (10.5%)

simplify117.0ms (0.9%)

prune178.0ms (1.3%)

regimes1.1s (7.7%)

bsearch6.0ms (0%)

simplify8.0ms (0.1%)

end0.0ms (0%)

sample2.1s (15.5%)

Profiling