Details

analyze1.2s (7.1%)

Algorithm

1×

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
1.6%	98.2%	0.2%	9
2.3%	97.5%	0.2%	10
11.7%	88.1%	0.2%	11
13.1%	74.3%	12.7%	12
16.1%	70.5%	13.5%	13
18.6%	68%	13.5%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample87.0ms (0.5%)

Algorithm

1×

intervals

Results

28.0ms	64×	body	1024	valid
12.0ms	12×	body	2048	valid
10.0ms	39×	body	512	valid
10.0ms	127×	body	128	valid
2.0ms	14×	body	256	valid
2.0ms	7×	body	1024	nan
2.0ms	41×	body	128	nan
1.0ms	25×	body	128	overflowed
1.0ms	6×	body	512	nan
0.0ms	3×	body	256	nan

Compiler

Compiled 27 to 29 computations (-7.4% saved)

simplify1.6s (9.5%)

Algorithm

1×	egg-herbie

Rules

716×	`unsub-neg_binary64_15417`
544×	`distribute-rgt-out_binary64_15376`
533×	`distribute-rgt-out--_binary64_15377`
335×	`distribute-neg-out_binary64_15385`
307×	`sub-neg_binary64_15416`
274×	`div-sub_binary64_15428`
237×	`distribute-lft-out--_binary64_15375`
232×	`distribute-lft-out_binary64_15374`
225×	`exp-diff_binary64_15471`
215×	`+-commutative_binary64_15353`
213×	`cube-div_binary64_15452`
142×	`distribute-rgt1-in_binary64_15379`
137×	`associate-/l*_binary64_15368`
97×	`exp-sum_binary64_15469`
87×	`log-pow_binary64_15512`
84×	`distribute-rgt-neg-out_binary64_15383`
79×	`pow-plus_binary64_15486`
72×	`distribute-rgt-in_binary64_15373`
67×	`cancel-sign-sub-inv_binary64_15389` `distribute-neg-frac_binary64_15387`
58×	`neg-mul-1_binary64_15419`
53×	`neg-sub0_binary64_15418`
51×	`distribute-lft-in_binary64_15372`
49×	`exp-prod_binary64_15475` `associate-/r*_binary64_15367`
45×	`times-frac_binary64_15429`
44×	`log-prod_binary64_15509`
40×	`prod-exp_binary64_15472`
36×	`associate--r+_binary64_15359`
35×	`swap-sqr_binary64_15390` `distribute-neg-in_binary64_15384`
33×	`associate-*r/_binary64_15365`
31×	`sqr-pow_binary64_15395` `associate-*l/_binary64_15366`
28×	`distribute-rgt-neg-in_binary64_15381`
27×	`difference-of-squares_binary64_15392`
26×	`distribute-lft-neg-in_binary64_15380` `associate-+l-_binary64_15358`
25×	`+-inverses_binary64_15402` `associate-r_binary64_15363`
24×	`exp-neg_binary64_15470` `distribute-frac-neg_binary64_15386` `distribute-lft-neg-out_binary64_15382`
23×	`pow-sqr_binary64_15396` `*-commutative_binary64_15354`
22×	`distribute-lft1-in_binary64_15378`
21×	`pow-base-1_binary64_15483`
20×	`sub0-neg_binary64_15410` `associate--r-_binary64_15362`
19×	`sqr-neg_binary64_15437`
18×	`associate-+r+_binary64_15355`
17×	`associate-+r-_binary64_15357`
15×	`remove-double-neg_binary64_15411` `count-2_binary64_15371` `associate-/l/_binary64_15370`
13×	`+-rgt-identity_binary64_15408` `mul0-rgt_binary64_15406`
11×	`--rgt-identity_binary64_15409` `+-lft-identity_binary64_15407`
10×	`associate--l-_binary64_15361` `associate--l+_binary64_15360` `associate-+l+_binary64_15356`
9×	`exp-lft-sqr_binary64_15478` `associate-l_binary64_15364`
8×	`-rgt-identity_binary64_15413` `-lft-identity_binary64_15412`
7×	`cube-unmult_binary64_15460`
6×	`mul0-lft_binary64_15405` `unswap-sqr_binary64_15391` `associate-/r/_binary64_15369`
4×	`log-div_binary64_15510` `unpow3_binary64_15489` `difference-of-sqr--1_binary64_15394`
3×	`cube-prod_binary64_15451` `/-rgt-identity_binary64_15414` `div0_binary64_15404`
1×	`log-rec_binary64_15511` `exp-to-pow_binary64_15485` `exp-sqrt_binary64_15476` `1-exp_binary64_15467` `exp-1-e_binary64_15466` `rem-log-exp_binary64_15464` `mul-1-neg_binary64_15415`
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` `unpow2_binary64_15488` `unpow1/2_binary64_15487` `unpow0_binary64_15482` `unpow1_binary64_15481` `unpow-1_binary64_15480` `exp-lft-cube_binary64_15479` `exp-cbrt_binary64_15477` `div-exp_binary64_15474` `rec-exp_binary64_15473` `e-exp-1_binary64_15468` `exp-0_binary64_15465` `rem-exp-log_binary64_15463` `cube-mult_binary64_15453` `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_15403` `lft-mult-inverse_binary64_15401` `rgt-mult-inverse_binary64_15400` `remove-double-div_binary64_15399` `difference-of-sqr-1_binary64_15393` `cancel-sign-sub_binary64_15388`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	23	20
2	46	20
3	79	20
4	159	20
5	314	20
6	401	20
7	3448	20
8	4230	20

prune5.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

16.8b

Counts

2 → 1

Compiler

Compiled 26 to 24 computations (7.7% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (exp.f64 z))
0.0b	(/.f64 (log.f64 (+.f64 1 (-.f64 (*.f64 y (exp.f64 z)) y))) t)
1.7b	(log.f64 (+.f64 1 (-.f64 (*.f64 y (exp.f64 z)) y)))
2.6b	(-.f64 (*.f64 y (exp.f64 z)) y)

rewrite145.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

16.1b

Rules

19×	`add-sqr-sqrt_binary64_15445` `*-un-lft-identity_binary64_15423`
17×	`add-cube-cbrt_binary64_15458`
12×	`times-frac_binary64_15429`
11×	`pow1_binary64_15484`
8×	`add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459`
6×	`add-log-exp_binary64_15462`
5×	`log-pow_binary64_15512`
4×	`log-div_binary64_15510` `log-prod_binary64_15509` `associate-/l*_binary64_15368`
3×	`cancel-sign-sub-inv_binary64_15389` `associate-/r_binary64_15367` `associate-l_binary64_15364` `associate-r*_binary64_15363`
2×	`flip3-+_binary64_15426` `flip-+_binary64_15397` `div-sub_binary64_15428`
1×	`diff-log_binary64_15515` `flip3--_binary64_15427` `sub-neg_binary64_15416` `flip--_binary64_15398` `distribute-lft-out_binary64_15374` `rem-log-exp_binary64_15464` `div-exp_binary64_15474` `cbrt-undiv_binary64_15457` `frac-2neg_binary64_15434` `clear-num_binary64_15422` `div-inv_binary64_15420` `pow-prod-down_binary64_15494` `prod-exp_binary64_15472` `cbrt-unprod_binary64_15456` `unswap-sqr_binary64_15391` `*-commutative_binary64_15354`

Counts

4 → 80

Calls

4 calls:

10.0ms	(/.f64 (log.f64 (+.f64 1 (-.f64 (*.f64 y (exp.f64 z)) y))) t)
7.0ms	(log.f64 (+.f64 1 (-.f64 (*.f64 y (exp.f64 z)) y)))
7.0ms	(-.f64 (*.f64 y (exp.f64 z)) y)
7.0ms	(*.f64 y (exp.f64 z))

Compiler

Compiled 1780 to 781 computations (56.1% saved)

series979.0ms (5.9%)

Error

1.8b

Counts

4 → 41

Calls

4 calls:

502.0ms	(/.f64 (log.f64 (+.f64 1 (-.f64 (*.f64 y (exp.f64 z)) y))) t)
249.0ms	(log.f64 (+.f64 1 (-.f64 (*.f64 y (exp.f64 z)) y)))
95.0ms	(-.f64 (*.f64 y (exp.f64 z)) y)
74.0ms	(*.f64 y (exp.f64 z))

Compiler

Compiled 2224 to 1660 computations (25.4% saved)

simplify382.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

303×	`associate--l+_binary64_15360`
291×	`cancel-sign-sub-inv_binary64_15389`
251×	`associate-/l*_binary64_15368`
186×	`distribute-rgt-out_binary64_15376`
175×	`associate-*l/_binary64_15366`
168×	`sub-neg_binary64_15416`
162×	`distribute-rgt-in_binary64_15373`
147×	`associate-r_binary64_15363`
133×	`associate-l_binary64_15364`
129×	`distribute-lft-in_binary64_15372`
118×	`times-frac_binary64_15429`
117×	`associate-/r*_binary64_15367`
112×	`unswap-sqr_binary64_15391`
104×	`distribute-lft-out_binary64_15374`
103×	`associate-*r/_binary64_15365` `+-commutative_binary64_15353`
96×	`associate-/r/_binary64_15369`
94×	`distribute-neg-in_binary64_15384`
92×	`distribute-rgt-neg-in_binary64_15381` `associate-+r+_binary64_15355`
79×	`associate-/l/_binary64_15370`
75×	`associate-+l+_binary64_15356`
71×	`*-commutative_binary64_15354`
70×	`distribute-lft-neg-in_binary64_15380`
60×	`sqr-pow_binary64_15395`
51×	`neg-mul-1_binary64_15419` `neg-sub0_binary64_15418`
42×	`distribute-lft-neg-out_binary64_15382`
41×	`associate--r+_binary64_15359`
36×	`associate--l-_binary64_15361`
32×	`unsub-neg_binary64_15417` `distribute-rgt-out--_binary64_15377`
31×	`exp-prod_binary64_15475`
29×	`log-prod_binary64_15509` `pow-sqr_binary64_15396`
28×	`distribute-neg-frac_binary64_15387`
26×	`*-rgt-identity_binary64_15413`
25×	`distribute-rgt1-in_binary64_15379`
19×	`distribute-lft-out--_binary64_15375` `associate--r-_binary64_15362`
17×	`cube-prod_binary64_15451`
16×	`div-sub_binary64_15428` `*-lft-identity_binary64_15412` `distribute-rgt-neg-out_binary64_15383`
15×	`distribute-lft1-in_binary64_15378`
14×	`pow-plus_binary64_15486`
12×	`log-div_binary64_15510` `/-rgt-identity_binary64_15414` `swap-sqr_binary64_15390`
8×	`prod-exp_binary64_15472` `difference-of-squares_binary64_15392`
6×	`unpow3_binary64_15489` `cube-mult_binary64_15453` `associate-+r-_binary64_15357`
5×	`log-pow_binary64_15512` `cancel-sign-sub_binary64_15388` `distribute-neg-out_binary64_15385`
4×	`cube-unmult_binary64_15460` `cube-div_binary64_15452`
3×	`unpow2_binary64_15488` `pow-base-1_binary64_15483` `unpow1_binary64_15481` `exp-sum_binary64_15469` `mul-1-neg_binary64_15415` `remove-double-neg_binary64_15411` `+-rgt-identity_binary64_15408` `count-2_binary64_15371` `associate-+l-_binary64_15358`
2×	`log-rec_binary64_15511` `div-exp_binary64_15474` `exp-diff_binary64_15471` `rem-log-exp_binary64_15464` `distribute-frac-neg_binary64_15386`
1×	`exp-to-pow_binary64_15485` `exp-sqrt_binary64_15476` `rec-exp_binary64_15473` `1-exp_binary64_15467` `exp-1-e_binary64_15466` `rem-exp-log_binary64_15463` `rem-3cbrt-lft_binary64_15448` `rem-sqrt-square_binary64_15436` `rem-square-sqrt_binary64_15435` `--rgt-identity_binary64_15409` `div0_binary64_15404` `*-inverses_binary64_15403` `difference-of-sqr-1_binary64_15393`
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` `unpow1/2_binary64_15487` `unpow0_binary64_15482` `unpow-1_binary64_15480` `exp-lft-cube_binary64_15479` `exp-lft-sqr_binary64_15478` `exp-cbrt_binary64_15477` `exp-neg_binary64_15470` `e-exp-1_binary64_15468` `exp-0_binary64_15465` `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` `+-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`

Counts

121 → 229

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	264	2595
1	621	2425
2	2053	2359

prune353.0ms (2.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	221	8	229
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	222	8	230

Error

0.4b

Counts

230 → 8

Compiler

Compiled 5848 to 2812 computations (51.9% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 x (*.f64 (/.f64 z t) y))
4.7b	(*.f64 (/.f64 z t) y)

rewrite55.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

15×	`add-sqr-sqrt_binary64_15445`
13×	`associate-l_binary64_15364`
10×	`add-cube-cbrt_binary64_15458` `*-un-lft-identity_binary64_15423` `times-frac_binary64_15429`
7×	`add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459`
4×	`pow1_binary64_15484` `add-log-exp_binary64_15462`
3×	`associate-r_binary64_15363`
2×	`prod-exp_binary64_15472` `cbrt-unprod_binary64_15456` `unswap-sqr_binary64_15391`
1×	`pow-prod-down_binary64_15494` `div-exp_binary64_15474` `cbrt-undiv_binary64_15457` `associate-l/_binary64_15366` `div-inv_binary64_15420` `-commutative_binary64_15354` `diff-log_binary64_15515` `flip3--_binary64_15427` `sub-neg_binary64_15416` `flip--_binary64_15398` `cancel-sign-sub-inv_binary64_15389`

Counts

2 → 44

Calls

2 calls:

7.0ms	(*.f64 (/.f64 z t) y)
3.0ms	(-.f64 x (*.f64 (/.f64 z t) y))

Compiler

Compiled 624 to 191 computations (69.4% saved)

series444.0ms (2.7%)

Error

0.4b

Counts

2 → 33

Calls

2 calls:

268.0ms	(-.f64 x (*.f64 (/.f64 z t) y))
161.0ms	(*.f64 (/.f64 z t) y)

Compiler

Compiled 537 to 385 computations (28.3% saved)

simplify148.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

304×	`associate-l_binary64_15364`
278×	`distribute-rgt-neg-in_binary64_15381`
275×	`associate-/r*_binary64_15367`
263×	`associate-*l/_binary64_15366`
262×	`distribute-lft-neg-in_binary64_15380`
250×	`distribute-rgt-in_binary64_15373`
249×	`associate-/r/_binary64_15369`
241×	`associate-/l/_binary64_15370`
227×	`associate-r_binary64_15363`
217×	`div-sub_binary64_15428`
216×	`distribute-neg-frac_binary64_15387`
212×	`distribute-lft-in_binary64_15372`
205×	`associate-*r/_binary64_15365`
161×	`associate-/l*_binary64_15368`
155×	`cancel-sign-sub-inv_binary64_15389`
79×	`distribute-rgt-neg-out_binary64_15383`
72×	`distribute-lft-neg-out_binary64_15382`
67×	`*-commutative_binary64_15354`
60×	`exp-prod_binary64_15475`
58×	`unswap-sqr_binary64_15391`
56×	`sqr-pow_binary64_15395`
53×	`times-frac_binary64_15429`
50×	`neg-sub0_binary64_15418`
44×	`neg-mul-1_binary64_15419`
42×	`sub-neg_binary64_15416`
37×	`exp-sum_binary64_15469`
34×	`associate-+r+_binary64_15355`
30×	`*-rgt-identity_binary64_15413`
29×	`unsub-neg_binary64_15417`
28×	`*-lft-identity_binary64_15412`
26×	`pow-sqr_binary64_15396` `associate-+l+_binary64_15356`
25×	`log-prod_binary64_15509`
23×	`cube-prod_binary64_15451`
21×	`+-commutative_binary64_15353`
20×	`difference-of-squares_binary64_15392`
19×	`cube-div_binary64_15452` `swap-sqr_binary64_15390`
17×	`log-div_binary64_15510` `exp-diff_binary64_15471`
14×	`associate-+l-_binary64_15358`
12×	`unpow3_binary64_15489` `distribute-rgt-out_binary64_15376`
10×	`associate-+r-_binary64_15357`
9×	`cube-unmult_binary64_15460`
8×	`cube-mult_binary64_15453` `/-rgt-identity_binary64_15414`
7×	`exp-to-pow_binary64_15485`
6×	`sqr-neg_binary64_15437` `mul0-rgt_binary64_15406` `mul0-lft_binary64_15405` `associate--r+_binary64_15359`
5×	`log-pow_binary64_15512` `pow-plus_binary64_15486` `mul-1-neg_binary64_15415` `distribute-neg-in_binary64_15384`
4×	`+-rgt-identity_binary64_15408` `distribute-lft-out_binary64_15374`
3×	`log-rec_binary64_15511` `pow-base-1_binary64_15483` `sub0-neg_binary64_15410` `distribute-frac-neg_binary64_15386`
2×	`div0_binary64_15404` `distribute-rgt-out--_binary64_15377`
1×	`div-exp_binary64_15474` `prod-exp_binary64_15472` `1-exp_binary64_15467` `exp-1-e_binary64_15466` `rem-log-exp_binary64_15464` `cube-neg_binary64_15450` `remove-double-neg_binary64_15411` `cancel-sign-sub_binary64_15388` `count-2_binary64_15371` `associate--r-_binary64_15362` `associate--l-_binary64_15361` `associate--l+_binary64_15360`
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` `unpow2_binary64_15488` `unpow1/2_binary64_15487` `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` `rec-exp_binary64_15473` `exp-neg_binary64_15470` `e-exp-1_binary64_15468` `exp-0_binary64_15465` `rem-exp-log_binary64_15463` `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` `--rgt-identity_binary64_15409` `+-lft-identity_binary64_15407` `*-inverses_binary64_15403` `+-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` `distribute-neg-out_binary64_15385` `distribute-rgt1-in_binary64_15379` `distribute-lft1-in_binary64_15378` `distribute-lft-out--_binary64_15375`

Counts

77 → 170

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	95	784
1	219	760
2	611	760
3	2030	760
4	4615	760

prune144.0ms (0.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	165	5	170
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	167	11	178

Error

0.4b

Counts

178 → 11

Compiler

Compiled 2680 to 573 computations (78.6% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(.f64 (.f64 (cbrt.f64 (/.f64 z t)) (cbrt.f64 (/.f64 z t))) (*.f64 y (cbrt.f64 (/.f64 z t))))
14.1b	(cbrt.f64 (/.f64 z t))
14.1b	(cbrt.f64 (/.f64 z t))
14.1b	(cbrt.f64 (/.f64 z t))

rewrite366.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

39×	`cbrt-prod_binary64_15454`
27×	`times-frac_binary64_15429`
25×	`add-cube-cbrt_binary64_15458` `add-sqr-sqrt_binary64_15445` `*-un-lft-identity_binary64_15423`
16×	`pow1_binary64_15484` `add-exp-log_binary64_15461`
15×	`cbrt-div_binary64_15455`
10×	`add-cbrt-cube_binary64_15459`
8×	`pow-prod-down_binary64_15494` `prod-exp_binary64_15472` `cbrt-unprod_binary64_15456`
7×	`associate-*r/_binary64_15365`
5×	`frac-times_binary64_15433` `associate-*l/_binary64_15366`
4×	`add-log-exp_binary64_15462`
3×	`pow1/3_binary64_15505` `div-inv_binary64_15420`
1×	`associate-l_binary64_15364` `associate-r_binary64_15363` `*-commutative_binary64_15354`

Counts

4 → 95

Calls

4 calls:

246.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 z t)) (cbrt.f64 (/.f64 z t))) (*.f64 y (cbrt.f64 (/.f64 z t))))
3.0ms	(cbrt.f64 (/.f64 z t))
3.0ms	(cbrt.f64 (/.f64 z t))
2.0ms	(cbrt.f64 (/.f64 z t))

Compiler

Compiled 2378 to 462 computations (80.6% saved)

series1.2s (7%)

Error

0.4b

Counts

4 → 27

Calls

4 calls:

311.0ms	(cbrt.f64 (/.f64 z t))
302.0ms	(cbrt.f64 (/.f64 z t))
299.0ms	(cbrt.f64 (/.f64 z t))
221.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 z t)) (cbrt.f64 (/.f64 z t))) (*.f64 y (cbrt.f64 (/.f64 z t))))

Compiler

Compiled 1599 to 1087 computations (32% saved)

simplify482.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

313×	`associate-*l/_binary64_15366`
302×	`times-frac_binary64_15429`
261×	`associate-/l*_binary64_15368`
247×	`associate-*r/_binary64_15365`
191×	`*-commutative_binary64_15354`
176×	`log-div_binary64_15510`
161×	`log-prod_binary64_15509`
149×	`associate-/r*_binary64_15367`
131×	`cancel-sign-sub-inv_binary64_15389`
126×	`associate-l_binary64_15364`
124×	`cube-prod_binary64_15451`
117×	`exp-prod_binary64_15475`
108×	`exp-sum_binary64_15469`
106×	`associate-r_binary64_15363`
102×	`cube-div_binary64_15452`
97×	`div-sub_binary64_15428`
85×	`sqr-pow_binary64_15395`
84×	`sub-neg_binary64_15416`
73×	`swap-sqr_binary64_15390`
65×	`unswap-sqr_binary64_15391`
60×	`exp-diff_binary64_15471`
53×	`associate-/l/_binary64_15370`
50×	`associate-/r/_binary64_15369`
49×	`neg-mul-1_binary64_15419`
47×	`neg-sub0_binary64_15418`
39×	`unsub-neg_binary64_15417`
32×	`pow-sqr_binary64_15396`
23×	`distribute-lft-neg-in_binary64_15380`
21×	`distribute-rgt-neg-in_binary64_15381`
15×	`distribute-rgt-in_binary64_15373`
14×	`unpow3_binary64_15489` `cube-mult_binary64_15453` `distribute-lft-in_binary64_15372` `associate--l+_binary64_15360` `associate-+l+_binary64_15356`
13×	`cube-unmult_binary64_15460` `+-commutative_binary64_15353`
12×	`associate--r+_binary64_15359`
11×	`/-rgt-identity_binary64_15414` `sub0-neg_binary64_15410` `associate--l-_binary64_15361` `associate-+r+_binary64_15355`
10×	`exp-to-pow_binary64_15485` `exp-neg_binary64_15470`
9×	`log-pow_binary64_15512` `unpow1/3_binary64_15490` `distribute-neg-frac_binary64_15387` `distribute-frac-neg_binary64_15386` `distribute-rgt-neg-out_binary64_15383` `associate-+l-_binary64_15358` `associate-+r-_binary64_15357`
8×	`pow-plus_binary64_15486`
7×	`log-rec_binary64_15511` `remove-double-neg_binary64_15411`
6×	`mul-1-neg_binary64_15415` `*-rgt-identity_binary64_15413` `distribute-neg-out_binary64_15385` `associate--r-_binary64_15362`
5×	`distribute-lft-neg-out_binary64_15382`
4×	`cube-neg_binary64_15450` `+-rgt-identity_binary64_15408`
3×	`rem-exp-log_binary64_15463` `rem-3cbrt-lft_binary64_15448` `+-lft-identity_binary64_15407` `distribute-neg-in_binary64_15384`
2×	`rem-sqrt-square_binary64_15436` `--rgt-identity_binary64_15409` `mul0-lft_binary64_15405` `distribute-lft-out_binary64_15374` `count-2_binary64_15371`
1×	`exp-lft-cube_binary64_15479` `div-exp_binary64_15474` `rec-exp_binary64_15473` `1-exp_binary64_15467` `rem-log-exp_binary64_15464` `rem-3cbrt-rft_binary64_15449` `rem-cbrt-cube_binary64_15447` `rem-cube-cbrt_binary64_15446` `sqr-neg_binary64_15437` `*-lft-identity_binary64_15412` `mul0-rgt_binary64_15406` `div0_binary64_15404` `distribute-rgt1-in_binary64_15379` `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` `pow-base-0_binary64_15507` `unpow2_binary64_15488` `unpow1/2_binary64_15487` `pow-base-1_binary64_15483` `unpow0_binary64_15482` `unpow1_binary64_15481` `unpow-1_binary64_15480` `exp-lft-sqr_binary64_15478` `exp-cbrt_binary64_15477` `exp-sqrt_binary64_15476` `prod-exp_binary64_15472` `e-exp-1_binary64_15468` `exp-1-e_binary64_15466` `exp-0_binary64_15465` `sqr-abs_binary64_15438` `rem-square-sqrt_binary64_15435` `*-inverses_binary64_15403` `+-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` `difference-of-squares_binary64_15392` `cancel-sign-sub_binary64_15388` `distribute-rgt-out--_binary64_15377` `distribute-rgt-out_binary64_15376` `distribute-lft-out--_binary64_15375`

Counts

122 → 234

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	141	2109
1	283	1671
2	867	1629
3	3139	1479

prune217.0ms (1.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	234	0	234
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	234	11	245

Error

0.4b

Counts

245 → 11

Compiler

Compiled 4703 to 1064 computations (77.4% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.7b	(*.f64 (/.f64 z t) y)
17.5b	(cbrt.f64 (*.f64 y (/.f64 z t)))
17.5b	(cbrt.f64 (*.f64 (/.f64 z t) y))
17.5b	(cbrt.f64 (*.f64 (/.f64 z t) y))

rewrite103.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

17×	`add-sqr-sqrt_binary64_15445`
13×	`associate-l_binary64_15364`
12×	`add-cube-cbrt_binary64_15458` `*-un-lft-identity_binary64_15423`
10×	`times-frac_binary64_15429`
9×	`add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459`
6×	`pow1_binary64_15484`
4×	`add-log-exp_binary64_15462`
3×	`pow1/3_binary64_15505` `associate-l/_binary64_15366` `cbrt-div_binary64_15455` `cbrt-prod_binary64_15454` `associate-r*_binary64_15363`
2×	`prod-exp_binary64_15472` `cbrt-unprod_binary64_15456` `unswap-sqr_binary64_15391`
1×	`associate-r/_binary64_15365` `pow-prod-down_binary64_15494` `div-exp_binary64_15474` `cbrt-undiv_binary64_15457` `div-inv_binary64_15420` `-commutative_binary64_15354`

Counts

4 → 62

Calls

4 calls:

7.0ms	(*.f64 (/.f64 z t) y)
4.0ms	(cbrt.f64 (*.f64 (/.f64 z t) y))
4.0ms	(cbrt.f64 (*.f64 (/.f64 z t) y))
4.0ms	(cbrt.f64 (*.f64 y (/.f64 z t)))

Compiler

Compiled 1733 to 372 computations (78.5% saved)

series1.8s (10.6%)

Error

0.4b

Counts

4 → 36

Calls

4 calls:

531.0ms	(cbrt.f64 (*.f64 y (/.f64 z t)))
521.0ms	(cbrt.f64 (*.f64 (/.f64 z t) y))
512.0ms	(cbrt.f64 (*.f64 (/.f64 z t) y))
156.0ms	(*.f64 (/.f64 z t) y)

Compiler

Compiled 2889 to 1646 computations (43% saved)

simplify392.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

545×	`times-frac_binary64_15429`
311×	`associate-l_binary64_15364`
259×	`exp-diff_binary64_15471`
255×	`associate-/r*_binary64_15367`
253×	`*-commutative_binary64_15354`
249×	`exp-prod_binary64_15475`
225×	`associate-r_binary64_15363`
209×	`associate-*l/_binary64_15366`
183×	`exp-sum_binary64_15469`
182×	`associate-/r/_binary64_15369`
168×	`associate-/l/_binary64_15370`
152×	`associate-*r/_binary64_15365`
143×	`prod-exp_binary64_15472`
142×	`associate-/l*_binary64_15368`
107×	`distribute-rgt-in_binary64_15373`
90×	`log-prod_binary64_15509`
86×	`sub-neg_binary64_15416`
84×	`div-sub_binary64_15428`
83×	`unsub-neg_binary64_15417`
79×	`distribute-lft-in_binary64_15372` `associate-+r+_binary64_15355`
77×	`sqr-pow_binary64_15395`
75×	`associate-+l-_binary64_15358`
74×	`unswap-sqr_binary64_15391`
57×	`associate--r-_binary64_15362` `associate-+l+_binary64_15356`
54×	`div-exp_binary64_15474` `associate--r+_binary64_15359`
52×	`cancel-sign-sub-inv_binary64_15389` `associate-+r-_binary64_15357`
45×	`log-pow_binary64_15512`
43×	`log-div_binary64_15510`
40×	`exp-to-pow_binary64_15485`
39×	`distribute-neg-out_binary64_15385`
38×	`associate--l-_binary64_15361` `associate--l+_binary64_15360`
36×	`+-commutative_binary64_15353`
30×	`pow-sqr_binary64_15396`
28×	`cube-prod_binary64_15451`
25×	`distribute-lft-out_binary64_15374`
24×	`neg-mul-1_binary64_15419` `neg-sub0_binary64_15418` `*-rgt-identity_binary64_15413`
23×	`*-lft-identity_binary64_15412`
22×	`unpow1/3_binary64_15490` `swap-sqr_binary64_15390`
19×	`distribute-neg-in_binary64_15384`
18×	`unpow3_binary64_15489`
16×	`distribute-lft-neg-in_binary64_15380`
15×	`pow-plus_binary64_15486` `distribute-rgt-neg-out_binary64_15383` `distribute-lft-neg-out_binary64_15382`
13×	`cube-div_binary64_15452` `sub0-neg_binary64_15410`
12×	`log-rec_binary64_15511` `exp-neg_binary64_15470`
11×	`distribute-rgt-neg-in_binary64_15381`
10×	`rem-exp-log_binary64_15463`
9×	`distribute-frac-neg_binary64_15386`
8×	`/-rgt-identity_binary64_15414`
7×	`cube-unmult_binary64_15460` `distribute-rgt-out_binary64_15376`
6×	`remove-double-neg_binary64_15411` `+-rgt-identity_binary64_15408`
5×	`--rgt-identity_binary64_15409`
4×	`distribute-lft-out--_binary64_15375`
3×	`cube-mult_binary64_15453` `rem-sqrt-square_binary64_15436`
2×	`rem-3cbrt-lft_binary64_15448` `mul0-lft_binary64_15405` `distribute-rgt-out--_binary64_15377` `count-2_binary64_15371`
1×	`pow-base-1_binary64_15483` `exp-sqrt_binary64_15476` `rec-exp_binary64_15473` `1-exp_binary64_15467` `exp-1-e_binary64_15466` `rem-log-exp_binary64_15464` `mul0-rgt_binary64_15406` `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` `unpow2_binary64_15488` `unpow1/2_binary64_15487` `unpow0_binary64_15482` `unpow1_binary64_15481` `unpow-1_binary64_15480` `exp-lft-cube_binary64_15479` `exp-lft-sqr_binary64_15478` `exp-cbrt_binary64_15477` `e-exp-1_binary64_15468` `exp-0_binary64_15465` `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-square-sqrt_binary64_15435` `mul-1-neg_binary64_15415` `+-lft-identity_binary64_15407` `*-inverses_binary64_15403` `+-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` `difference-of-squares_binary64_15392` `cancel-sign-sub_binary64_15388` `distribute-neg-frac_binary64_15387` `distribute-rgt1-in_binary64_15379` `distribute-lft1-in_binary64_15378`

Counts

98 → 166

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	133	1247
1	271	1085
2	634	1051
3	2033	996
4	4132	996

prune191.0ms (1.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	164	2	166
Fresh	0	9	9
Picked	1	0	1
Done	1	0	1
Total	166	11	177

Error

0.4b

Counts

177 → 11

Compiler

Compiled 4554 to 981 computations (78.5% saved)

regimes2.1s (12.7%)

Accuracy

Total 8.2b remaining (97.2%)

Threshold costs 0b (0%)

Compiler

Compiled 18584 to 13653 computations (26.5% saved)

bsearch5.0ms (0%)

Compiler: Compiled 2 to 5 computations (-150% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Rules

17×	`neg-mul-1_binary64_15419` `neg-sub0_binary64_15418`
12×	`*-commutative_binary64_15354`
11×	`+-commutative_binary64_15353`
10×	`sub-neg_binary64_15416`
8×	`distribute-rgt-neg-in_binary64_15381`
7×	`distribute-rgt-neg-out_binary64_15383` `distribute-lft-neg-out_binary64_15382` `distribute-lft-neg-in_binary64_15380`
6×	`*-lft-identity_binary64_15412`
5×	`unsub-neg_binary64_15417` `*-rgt-identity_binary64_15413` `cancel-sign-sub-inv_binary64_15389`
2×	`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` `mul-1-neg_binary64_15415` `/-rgt-identity_binary64_15414` `remove-double-neg_binary64_15411` `sub0-neg_binary64_15410` `--rgt-identity_binary64_15409` `+-rgt-identity_binary64_15408` `+-lft-identity_binary64_15407` `cancel-sign-sub_binary64_15388` `distribute-frac-neg_binary64_15386` `distribute-neg-out_binary64_15385` `distribute-neg-in_binary64_15384`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	38
1	33	38
2	52	38
3	66	38
4	96	38
5	101	38
6	104	38

Proof

(if real (<= f64 (exp f64 h0) 0) (- f64 h1 (/ f64 (log f64 (+ f64 1 (* f64 h2 (=> (- f64 (exp f64 h0) 1))))) h3)) (- f64 h1 (* f64 (/ f64 h0 h3) h2)))
sub-neg_binary64_15416 =>
(if real (<= f64 (exp f64 h0) 0) (- f64 h1 (/ f64 (log f64 (+ f64 1 (* f64 h2 (+ f64 (exp f64 h0) (neg f64 1))))) h3)) (- f64 h1 (=> (* f64 (/ f64 h0 h3) h2))))
*-commutative_binary64_15354 =>
(if real (<= f64 (exp f64 h0) 0) (- f64 h1 (/ f64 (log f64 (+ f64 1 (* f64 h2 (+ f64 (exp f64 h0) (=> (neg f64 1)))))) h3)) (- f64 h1 (* f64 h2 (/ f64 h0 h3))))
neg-mul-1_binary64_15419 =>
(if real (<= f64 (exp f64 h0) 0) (- f64 h1 (/ f64 (log f64 (+ f64 1 (* f64 h2 (+ f64 (exp f64 h0) (=> (* f64 -1 1)))))) h3)) (- f64 h1 (* f64 h2 (/ f64 h0 h3))))
*-rgt-identity_binary64_15413 =>
(if real (<= f64 (exp f64 h0) 0) (- f64 h1 (/ f64 (log f64 (+ f64 1 (* f64 h2 (+ f64 (exp f64 h0) -1)))) h3)) (- f64 h1 (* f64 h2 (/ f64 h0 h3))))

end0.0ms (0%)

sample4.2s (25.5%)

Algorithm

1×

intervals

Results

838.0ms	1845×	body	1024	valid
338.0ms	1333×	body	512	valid
312.0ms	3808×	body	128	valid
254.0ms	278×	body	2048	valid
110.0ms	736×	body	256	valid
71.0ms	1498×	body	128	nan
47.0ms	171×	body	1024	nan
47.0ms	820×	body	128	overflowed
38.0ms	215×	body	512	nan
21.0ms	164×	body	256	nan
1.0ms	16×	body	128	invalid

Compiler

Compiled 2034 to 1488 computations (26.8% saved)

Details

analyze1.2s (7.1%)

sample87.0ms (0.5%)

simplify1.6s (9.5%)

prune5.0ms (0%)

localize11.0ms (0.1%)

rewrite145.0ms (0.9%)

series979.0ms (5.9%)

simplify382.0ms (2.3%)

prune353.0ms (2.1%)

localize6.0ms (0%)

rewrite55.0ms (0.3%)

series444.0ms (2.7%)

simplify148.0ms (0.9%)

prune144.0ms (0.9%)

localize10.0ms (0.1%)

rewrite366.0ms (2.2%)

series1.2s (7%)

simplify482.0ms (2.9%)

prune217.0ms (1.3%)

localize12.0ms (0.1%)

rewrite103.0ms (0.6%)

series1.8s (10.6%)

simplify392.0ms (2.4%)

prune191.0ms (1.2%)

regimes2.1s (12.7%)

bsearch5.0ms (0%)

simplify8.0ms (0%)

end0.0ms (0%)

sample4.2s (25.5%)

Profiling