Details

analyze1.8s (7.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0%	99.7%	0.3%	13
0%	99.7%	0.3%	14

Compiler

Compiled 20 to 19 computations (5% saved)

sample55.0ms (0.2%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
14.0ms	153×	body	128	invalid

Compiler

Compiled 39 to 44 computations (-12.8% saved)

simplify331.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

772×	`div-sub_binary64_14405`
575×	`distribute-rgt-neg-in_binary64_14358`
450×	`cancel-sign-sub-inv_binary64_14366`
444×	`distribute-lft-neg-in_binary64_14357`
410×	`times-frac_binary64_14406`
393×	`distribute-neg-frac_binary64_14364`
354×	`associate-/l*_binary64_14345`
311×	`associate-*l/_binary64_14343`
294×	`associate-/r/_binary64_14346`
256×	`associate-/r*_binary64_14344`
251×	`sub-neg_binary64_14393`
195×	`distribute-lft-neg-out_binary64_14359`
181×	`associate-*r/_binary64_14342`
178×	`distribute-rgt-neg-out_binary64_14360`
171×	`associate-l_binary64_14341`
165×	`associate-r_binary64_14340`
143×	`neg-mul-1_binary64_14396`
128×	`neg-sub0_binary64_14395`
125×	`associate-/l/_binary64_14347`
118×	`unsub-neg_binary64_14394`
89×	`distribute-neg-in_binary64_14361`
81×	`exp-prod_binary64_14452`
75×	`distribute-frac-neg_binary64_14363`
66×	`*-commutative_binary64_14331`
54×	`distribute-rgt-in_binary64_14350`
43×	`div0_binary64_14381`
40×	`distribute-neg-out_binary64_14362`
37×	`distribute-lft-in_binary64_14349`
36×	`+-commutative_binary64_14330`
29×	`associate--r-_binary64_14339` `associate-+r-_binary64_14334`
28×	`sub0-neg_binary64_14387`
27×	`+-lft-identity_binary64_14384` `associate--r+_binary64_14336` `associate-+l-_binary64_14335`
25×	`remove-double-neg_binary64_14388`
15×	`mul0-lft_binary64_14382`
14×	`mul0-rgt_binary64_14383` `associate--l+_binary64_14337`
13×	`associate--l-_binary64_14338`
11×	`associate-+r+_binary64_14332`
10×	`/-rgt-identity_binary64_14391`
9×	`*-rgt-identity_binary64_14390` `--rgt-identity_binary64_14386`
8×	`+-rgt-identity_binary64_14385` `distribute-rgt-out--_binary64_14354`
7×	`distribute-rgt-out_binary64_14353` `associate-+l+_binary64_14333`
2×	`cube-unmult_binary64_14437` `+-inverses_binary64_14379` `swap-sqr_binary64_14367` `distribute-rgt1-in_binary64_14356`
1×	`pow-plus_binary64_14463` `exp-lft-sqr_binary64_14455` `exp-diff_binary64_14448` `1-exp_binary64_14444` `sqr-neg_binary64_14414` `-lft-identity_binary64_14389` `-inverses_binary64_14380` `pow-sqr_binary64_14373` `sqr-pow_binary64_14372` `cancel-sign-sub_binary64_14365` `distribute-lft-out--_binary64_14352` `count-2_binary64_14348`
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_14663` `erf-erfc_binary64_14662` `erf-odd_binary64_14661` `if-if-and-not_binary64_14660` `if-if-and_binary64_14659` `if-if-or-not_binary64_14658` `if-if-or_binary64_14657` `if-not_binary64_14656` `if-same_binary64_14655` `if-false_binary64_14654` `if-true_binary64_14653` `not-gte_binary64_14652` `not-lte_binary64_14651` `not-gt_binary64_14650` `not-lt_binary64_14649` `gte-same_binary64_14648` `lte-same_binary64_14647` `gt-same_binary64_14646` `lt-same_binary64_14645` `sinh---cosh_binary64_14592` `sinh-+-cosh_binary64_14591` `sinh-cosh_binary64_14590` `tanh-def-c_binary64_14589` `tanh-def-b_binary64_14588` `tanh-def-a_binary64_14587` `cosh-def_binary64_14586` `sinh-def_binary64_14585` `tan-neg_binary64_14532` `cos-neg_binary64_14531` `sin-neg_binary64_14530` `tan-0_binary64_14529` `cos-0_binary64_14528` `sin-0_binary64_14527` `hang-m-tan_binary64_14526` `hang-p-tan_binary64_14525` `hang-m0-tan_binary64_14524` `hang-p0-tan_binary64_14523` `hang-0m-tan_binary64_14522` `hang-0p-tan_binary64_14521` `tan-+PI/2_binary64_14520` `tan-+PI_binary64_14519` `tan-PI_binary64_14518` `tan-PI/3_binary64_14517` `tan-PI/4_binary64_14516` `tan-PI/6_binary64_14515` `cos-+PI/2_binary64_14514` `cos-+PI_binary64_14513` `cos-PI_binary64_14512` `cos-PI/2_binary64_14511` `cos-PI/3_binary64_14510` `cos-PI/4_binary64_14509` `cos-PI/6_binary64_14508` `sin-+PI/2_binary64_14507` `sin-+PI_binary64_14506` `sin-PI_binary64_14505` `sin-PI/2_binary64_14504` `sin-PI/3_binary64_14503` `sin-PI/4_binary64_14502` `sin-PI/6_binary64_14501` `sub-1-sin_binary64_14500` `sub-1-cos_binary64_14499` `-1-add-sin_binary64_14498` `-1-add-cos_binary64_14497` `1-sub-sin_binary64_14496` `1-sub-cos_binary64_14495` `cos-sin-sum_binary64_14494` `log-E_binary64_14490` `log-pow_binary64_14489` `log-rec_binary64_14488` `log-div_binary64_14487` `log-prod_binary64_14486` `pow-base-0_binary64_14484` `unpow1/3_binary64_14467` `unpow3_binary64_14466` `unpow2_binary64_14465` `unpow1/2_binary64_14464` `exp-to-pow_binary64_14462` `pow-base-1_binary64_14460` `unpow0_binary64_14459` `unpow1_binary64_14458` `unpow-1_binary64_14457` `exp-lft-cube_binary64_14456` `exp-cbrt_binary64_14454` `exp-sqrt_binary64_14453` `div-exp_binary64_14451` `rec-exp_binary64_14450` `prod-exp_binary64_14449` `exp-neg_binary64_14447` `exp-sum_binary64_14446` `e-exp-1_binary64_14445` `exp-1-e_binary64_14443` `exp-0_binary64_14442` `rem-log-exp_binary64_14441` `rem-exp-log_binary64_14440` `cube-mult_binary64_14430` `cube-div_binary64_14429` `cube-prod_binary64_14428` `cube-neg_binary64_14427` `rem-3cbrt-rft_binary64_14426` `rem-3cbrt-lft_binary64_14425` `rem-cbrt-cube_binary64_14424` `rem-cube-cbrt_binary64_14423` `sqr-abs_binary64_14415` `rem-sqrt-square_binary64_14413` `rem-square-sqrt_binary64_14412` `mul-1-neg_binary64_14392` `lft-mult-inverse_binary64_14378` `rgt-mult-inverse_binary64_14377` `remove-double-div_binary64_14376` `difference-of-sqr--1_binary64_14371` `difference-of-sqr-1_binary64_14370` `difference-of-squares_binary64_14369` `unswap-sqr_binary64_14368` `distribute-lft1-in_binary64_14355` `distribute-lft-out_binary64_14351`

Counts

1 → 5

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	19	28
1	41	28
2	107	28
3	319	28
4	745	28
5	1780	25
6	3646	25

prune22.0ms (0.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	2	3	5
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	4	6

Error

6.9b

Counts

6 → 4

Compiler

Compiled 167 to 129 computations (22.8% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(-.f64 (/.f64 (+.f64 (.f64 x (.f64 9 y)) b) z) (.f64 t (.f64 4 a)))
0.5b	(.f64 x (.f64 9 y))
2.2b	(/.f64 (+.f64 (.f64 x (.f64 9 y)) b) z)
12.3b	(/.f64 (-.f64 (/.f64 (+.f64 (.f64 x (.f64 9 y)) b) z) (.f64 t (.f64 4 a))) c)

rewrite199.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

6.8b

Rules

21×	`add-cube-cbrt_binary64_14435` `add-sqr-sqrt_binary64_14422` `*-un-lft-identity_binary64_14400`
18×	`times-frac_binary64_14406`
13×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436`
9×	`pow1_binary64_14461`
6×	`add-log-exp_binary64_14439` `associate-/l_binary64_14345` `associate-/r_binary64_14344`
4×	`associate-/l/_binary64_14347`
3×	`pow-prod-down_binary64_14471` `prod-exp_binary64_14449` `cbrt-unprod_binary64_14433` `associate-l_binary64_14341`
2×	`div-exp_binary64_14451` `cbrt-undiv_binary64_14434` `frac-2neg_binary64_14411` `clear-num_binary64_14399` `div-inv_binary64_14397` `flip3--_binary64_14404` `flip--_binary64_14375`
1×	`div-sub_binary64_14405` `flip3-+_binary64_14403` `flip-+_binary64_14374` `associate-r_binary64_14340` `*-commutative_binary64_14331` `diff-log_binary64_14492` `sub-neg_binary64_14393` `cancel-sign-sub-inv_binary64_14366`

Counts

4 → 89

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (/.f64 (+.f64 (.f64 x (.f64 9 y)) b) z) (.f64 t (.f64 4 a))) c)
11.0ms	(-.f64 (/.f64 (+.f64 (.f64 x (.f64 9 y)) b) z) (.f64 t (.f64 4 a)))
8.0ms	(/.f64 (+.f64 (.f64 x (.f64 9 y)) b) z)
5.0ms	(.f64 x (.f64 9 y))

Compiler

Compiled 2612 to 1611 computations (38.3% saved)

series2.7s (10.6%)

Error

6.2b

Counts

4 → 102

Calls

4 calls:

1.3s	(/.f64 (-.f64 (/.f64 (+.f64 (.f64 x (.f64 9 y)) b) z) (.f64 t (.f64 4 a))) c)
879.0ms	(-.f64 (/.f64 (+.f64 (.f64 x (.f64 9 y)) b) z) (.f64 t (.f64 4 a)))
335.0ms	(/.f64 (+.f64 (.f64 x (.f64 9 y)) b) z)
75.0ms	(.f64 x (.f64 9 y))

Compiler

Compiled 4303 to 3222 computations (25.1% saved)

simplify1.4s (5.3%)

Algorithm

1×	egg-herbie

Rules

394×	`*-commutative_binary64_14331`
347×	`associate-/l*_binary64_14345`
262×	`associate-*l/_binary64_14343`
240×	`div-sub_binary64_14405`
239×	`cancel-sign-sub-inv_binary64_14366`
196×	`times-frac_binary64_14406`
192×	`associate-*r/_binary64_14342`
171×	`distribute-rgt-in_binary64_14350`
161×	`associate-l_binary64_14341`
158×	`distribute-lft-in_binary64_14349`
157×	`associate-/l/_binary64_14347`
154×	`associate-r_binary64_14340`
140×	`distribute-rgt-neg-in_binary64_14358`
139×	`neg-mul-1_binary64_14396`
136×	`exp-prod_binary64_14452`
132×	`associate-/r*_binary64_14344`
120×	`distribute-lft-neg-in_binary64_14357`
111×	`associate-/r/_binary64_14346`
69×	`cube-prod_binary64_14428`
57×	`sub-neg_binary64_14393`
50×	`distribute-rgt-out_binary64_14353`
49×	`+-commutative_binary64_14330`
48×	`distribute-neg-frac_binary64_14364`
46×	`cube-div_binary64_14429` `neg-sub0_binary64_14395`
41×	`sqr-pow_binary64_14372`
27×	`swap-sqr_binary64_14367` `associate-+l+_binary64_14333`
26×	`distribute-lft-neg-out_binary64_14359`
23×	`associate-+l-_binary64_14335` `associate-+r+_binary64_14332`
22×	`log-prod_binary64_14486` `exp-sum_binary64_14446` `distribute-lft-out_binary64_14351`
20×	`associate-+r-_binary64_14334`
18×	`unpow3_binary64_14466`
16×	`exp-diff_binary64_14448`
15×	`cube-mult_binary64_14430`
12×	`distribute-neg-in_binary64_14361` `distribute-rgt-out--_binary64_14354`
11×	`log-div_binary64_14487` `/-rgt-identity_binary64_14391` `*-rgt-identity_binary64_14390`
10×	`div-exp_binary64_14451` `pow-sqr_binary64_14373`
9×	`prod-exp_binary64_14449` `cube-unmult_binary64_14437`
8×	`distribute-rgt-neg-out_binary64_14360`
7×	`associate--l+_binary64_14337` `associate--r+_binary64_14336`
5×	`distribute-lft-out--_binary64_14352`
4×	`+-rgt-identity_binary64_14385` `associate--r-_binary64_14339`
3×	`rec-exp_binary64_14450` `unsub-neg_binary64_14394` `mul-1-neg_binary64_14392` `*-lft-identity_binary64_14389` `difference-of-squares_binary64_14369` `unswap-sqr_binary64_14368`
2×	`associate--l-_binary64_14338`
1×	`log-pow_binary64_14489` `log-rec_binary64_14488` `pow-plus_binary64_14463` `pow-base-1_binary64_14460` `1-exp_binary64_14444` `rem-log-exp_binary64_14441` `cube-neg_binary64_14427` `sqr-neg_binary64_14414` `remove-double-neg_binary64_14388`
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_14663` `erf-erfc_binary64_14662` `erf-odd_binary64_14661` `if-if-and-not_binary64_14660` `if-if-and_binary64_14659` `if-if-or-not_binary64_14658` `if-if-or_binary64_14657` `if-not_binary64_14656` `if-same_binary64_14655` `if-false_binary64_14654` `if-true_binary64_14653` `not-gte_binary64_14652` `not-lte_binary64_14651` `not-gt_binary64_14650` `not-lt_binary64_14649` `gte-same_binary64_14648` `lte-same_binary64_14647` `gt-same_binary64_14646` `lt-same_binary64_14645` `sinh---cosh_binary64_14592` `sinh-+-cosh_binary64_14591` `sinh-cosh_binary64_14590` `tanh-def-c_binary64_14589` `tanh-def-b_binary64_14588` `tanh-def-a_binary64_14587` `cosh-def_binary64_14586` `sinh-def_binary64_14585` `tan-neg_binary64_14532` `cos-neg_binary64_14531` `sin-neg_binary64_14530` `tan-0_binary64_14529` `cos-0_binary64_14528` `sin-0_binary64_14527` `hang-m-tan_binary64_14526` `hang-p-tan_binary64_14525` `hang-m0-tan_binary64_14524` `hang-p0-tan_binary64_14523` `hang-0m-tan_binary64_14522` `hang-0p-tan_binary64_14521` `tan-+PI/2_binary64_14520` `tan-+PI_binary64_14519` `tan-PI_binary64_14518` `tan-PI/3_binary64_14517` `tan-PI/4_binary64_14516` `tan-PI/6_binary64_14515` `cos-+PI/2_binary64_14514` `cos-+PI_binary64_14513` `cos-PI_binary64_14512` `cos-PI/2_binary64_14511` `cos-PI/3_binary64_14510` `cos-PI/4_binary64_14509` `cos-PI/6_binary64_14508` `sin-+PI/2_binary64_14507` `sin-+PI_binary64_14506` `sin-PI_binary64_14505` `sin-PI/2_binary64_14504` `sin-PI/3_binary64_14503` `sin-PI/4_binary64_14502` `sin-PI/6_binary64_14501` `sub-1-sin_binary64_14500` `sub-1-cos_binary64_14499` `-1-add-sin_binary64_14498` `-1-add-cos_binary64_14497` `1-sub-sin_binary64_14496` `1-sub-cos_binary64_14495` `cos-sin-sum_binary64_14494` `log-E_binary64_14490` `pow-base-0_binary64_14484` `unpow1/3_binary64_14467` `unpow2_binary64_14465` `unpow1/2_binary64_14464` `exp-to-pow_binary64_14462` `unpow0_binary64_14459` `unpow1_binary64_14458` `unpow-1_binary64_14457` `exp-lft-cube_binary64_14456` `exp-lft-sqr_binary64_14455` `exp-cbrt_binary64_14454` `exp-sqrt_binary64_14453` `exp-neg_binary64_14447` `e-exp-1_binary64_14445` `exp-1-e_binary64_14443` `exp-0_binary64_14442` `rem-exp-log_binary64_14440` `rem-3cbrt-rft_binary64_14426` `rem-3cbrt-lft_binary64_14425` `rem-cbrt-cube_binary64_14424` `rem-cube-cbrt_binary64_14423` `sqr-abs_binary64_14415` `rem-sqrt-square_binary64_14413` `rem-square-sqrt_binary64_14412` `sub0-neg_binary64_14387` `--rgt-identity_binary64_14386` `+-lft-identity_binary64_14384` `mul0-rgt_binary64_14383` `mul0-lft_binary64_14382` `div0_binary64_14381` `*-inverses_binary64_14380` `+-inverses_binary64_14379` `lft-mult-inverse_binary64_14378` `rgt-mult-inverse_binary64_14377` `remove-double-div_binary64_14376` `difference-of-sqr--1_binary64_14371` `difference-of-sqr-1_binary64_14370` `cancel-sign-sub_binary64_14365` `distribute-frac-neg_binary64_14363` `distribute-neg-out_binary64_14362` `distribute-rgt1-in_binary64_14356` `distribute-lft1-in_binary64_14355` `count-2_binary64_14348`

Counts

191 → 439

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	206	4371
1	508	4113
2	1651	4093
3	4273	3904

prune702.0ms (2.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	429	10	439
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	431	12	443

Error

0.8b

Counts

443 → 12

Compiler

Compiled 10623 to 5269 computations (50.4% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 x (.f64 9 y))
2.2b	(/.f64 (+.f64 (.f64 x (.f64 9 y)) b) z)
6.4b	(*.f64 t (/.f64 a c))
8.2b	(/.f64 (/.f64 (+.f64 (.f64 x (.f64 9 y)) b) z) c)

rewrite291.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

94×	`times-frac_binary64_14406`
68×	`add-sqr-sqrt_binary64_14422`
63×	`add-cube-cbrt_binary64_14435` `*-un-lft-identity_binary64_14400`
21×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436`
16×	`associate-/l*_binary64_14345`
14×	`associate-r_binary64_14340`
11×	`pow1_binary64_14461`
7×	`div-inv_binary64_14397`
6×	`associate-/r_binary64_14344` `associate-l*_binary64_14341`
5×	`div-exp_binary64_14451` `cbrt-undiv_binary64_14434` `prod-exp_binary64_14449` `cbrt-unprod_binary64_14433`
4×	`add-log-exp_binary64_14439` `pow-prod-down_binary64_14471`
3×	`associate-/l/_binary64_14347`
2×	`frac-2neg_binary64_14411` `clear-num_binary64_14399` `unswap-sqr_binary64_14368` `*-commutative_binary64_14331`
1×	`associate-*r/_binary64_14342` `flip3-+_binary64_14403` `flip-+_binary64_14374`

Counts

4 → 149

Calls

4 calls:

11.0ms	(/.f64 (/.f64 (+.f64 (.f64 x (.f64 9 y)) b) z) c)
9.0ms	(/.f64 (+.f64 (.f64 x (.f64 9 y)) b) z)
7.0ms	(*.f64 t (/.f64 a c))
5.0ms	(.f64 x (.f64 9 y))

Compiler

Compiled 4455 to 2292 computations (48.6% saved)

series1.2s (4.7%)

Error

0.8b

Counts

4 → 60

Calls

4 calls:

562.0ms	(/.f64 (/.f64 (+.f64 (.f64 x (.f64 9 y)) b) z) c)
346.0ms	(/.f64 (+.f64 (.f64 x (.f64 9 y)) b) z)
159.0ms	(*.f64 t (/.f64 a c))
76.0ms	(.f64 x (.f64 9 y))

Compiler

Compiled 3104 to 2241 computations (27.8% saved)

simplify487.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

511×	`associate-*l/_binary64_14343`
419×	`associate-/r*_binary64_14344`
418×	`*-commutative_binary64_14331`
356×	`associate-*r/_binary64_14342`
326×	`associate-/r/_binary64_14346`
323×	`distribute-rgt-in_binary64_14350`
202×	`cancel-sign-sub-inv_binary64_14366`
188×	`associate-/l/_binary64_14347`
174×	`associate-l_binary64_14341`
142×	`distribute-rgt-neg-in_binary64_14358`
139×	`associate-r_binary64_14340`
123×	`distribute-lft-neg-in_binary64_14357`
103×	`associate-/l*_binary64_14345`
78×	`sub-neg_binary64_14393`
75×	`distribute-lft-in_binary64_14349`
73×	`sqr-pow_binary64_14372`
72×	`distribute-rgt-out_binary64_14353`
66×	`unswap-sqr_binary64_14368`
61×	`times-frac_binary64_14406`
52×	`*-rgt-identity_binary64_14390`
51×	`log-prod_binary64_14486`
50×	`neg-mul-1_binary64_14396`
46×	`neg-sub0_binary64_14395` `*-lft-identity_binary64_14389`
42×	`distribute-lft-out_binary64_14351`
41×	`log-div_binary64_14487` `cube-prod_binary64_14428`
36×	`distribute-rgt-out--_binary64_14354`
33×	`exp-prod_binary64_14452`
32×	`swap-sqr_binary64_14367`
31×	`cube-div_binary64_14429` `/-rgt-identity_binary64_14391`
28×	`unsub-neg_binary64_14394`
26×	`div-sub_binary64_14405` `pow-sqr_binary64_14373`
25×	`distribute-neg-in_binary64_14361` `distribute-lft-neg-out_binary64_14359` `+-commutative_binary64_14330`
22×	`associate-+l+_binary64_14333` `associate-+r+_binary64_14332`
17×	`associate-+l-_binary64_14335`
16×	`div-exp_binary64_14451` `prod-exp_binary64_14449` `cube-unmult_binary64_14437`
15×	`distribute-neg-out_binary64_14362`
13×	`associate-+r-_binary64_14334`
10×	`unpow3_binary64_14466` `cube-mult_binary64_14430` `sub0-neg_binary64_14387`
8×	`distribute-lft-out--_binary64_14352`
7×	`+-rgt-identity_binary64_14385`
6×	`distribute-neg-frac_binary64_14364` `associate--l+_binary64_14337`
5×	`log-rec_binary64_14488`
4×	`rec-exp_binary64_14450` `distribute-frac-neg_binary64_14363` `associate--l-_binary64_14338`
3×	`distribute-rgt-neg-out_binary64_14360`
2×	`distribute-rgt1-in_binary64_14356` `associate--r+_binary64_14336`
1×	`log-pow_binary64_14489` `pow-plus_binary64_14463` `exp-to-pow_binary64_14462` `1-exp_binary64_14444` `exp-1-e_binary64_14443` `rem-log-exp_binary64_14441` `remove-double-neg_binary64_14388` `div0_binary64_14381` `cancel-sign-sub_binary64_14365` `count-2_binary64_14348` `associate--r-_binary64_14339`
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_14663` `erf-erfc_binary64_14662` `erf-odd_binary64_14661` `if-if-and-not_binary64_14660` `if-if-and_binary64_14659` `if-if-or-not_binary64_14658` `if-if-or_binary64_14657` `if-not_binary64_14656` `if-same_binary64_14655` `if-false_binary64_14654` `if-true_binary64_14653` `not-gte_binary64_14652` `not-lte_binary64_14651` `not-gt_binary64_14650` `not-lt_binary64_14649` `gte-same_binary64_14648` `lte-same_binary64_14647` `gt-same_binary64_14646` `lt-same_binary64_14645` `sinh---cosh_binary64_14592` `sinh-+-cosh_binary64_14591` `sinh-cosh_binary64_14590` `tanh-def-c_binary64_14589` `tanh-def-b_binary64_14588` `tanh-def-a_binary64_14587` `cosh-def_binary64_14586` `sinh-def_binary64_14585` `tan-neg_binary64_14532` `cos-neg_binary64_14531` `sin-neg_binary64_14530` `tan-0_binary64_14529` `cos-0_binary64_14528` `sin-0_binary64_14527` `hang-m-tan_binary64_14526` `hang-p-tan_binary64_14525` `hang-m0-tan_binary64_14524` `hang-p0-tan_binary64_14523` `hang-0m-tan_binary64_14522` `hang-0p-tan_binary64_14521` `tan-+PI/2_binary64_14520` `tan-+PI_binary64_14519` `tan-PI_binary64_14518` `tan-PI/3_binary64_14517` `tan-PI/4_binary64_14516` `tan-PI/6_binary64_14515` `cos-+PI/2_binary64_14514` `cos-+PI_binary64_14513` `cos-PI_binary64_14512` `cos-PI/2_binary64_14511` `cos-PI/3_binary64_14510` `cos-PI/4_binary64_14509` `cos-PI/6_binary64_14508` `sin-+PI/2_binary64_14507` `sin-+PI_binary64_14506` `sin-PI_binary64_14505` `sin-PI/2_binary64_14504` `sin-PI/3_binary64_14503` `sin-PI/4_binary64_14502` `sin-PI/6_binary64_14501` `sub-1-sin_binary64_14500` `sub-1-cos_binary64_14499` `-1-add-sin_binary64_14498` `-1-add-cos_binary64_14497` `1-sub-sin_binary64_14496` `1-sub-cos_binary64_14495` `cos-sin-sum_binary64_14494` `log-E_binary64_14490` `pow-base-0_binary64_14484` `unpow1/3_binary64_14467` `unpow2_binary64_14465` `unpow1/2_binary64_14464` `pow-base-1_binary64_14460` `unpow0_binary64_14459` `unpow1_binary64_14458` `unpow-1_binary64_14457` `exp-lft-cube_binary64_14456` `exp-lft-sqr_binary64_14455` `exp-cbrt_binary64_14454` `exp-sqrt_binary64_14453` `exp-diff_binary64_14448` `exp-neg_binary64_14447` `exp-sum_binary64_14446` `e-exp-1_binary64_14445` `exp-0_binary64_14442` `rem-exp-log_binary64_14440` `cube-neg_binary64_14427` `rem-3cbrt-rft_binary64_14426` `rem-3cbrt-lft_binary64_14425` `rem-cbrt-cube_binary64_14424` `rem-cube-cbrt_binary64_14423` `sqr-abs_binary64_14415` `sqr-neg_binary64_14414` `rem-sqrt-square_binary64_14413` `rem-square-sqrt_binary64_14412` `mul-1-neg_binary64_14392` `--rgt-identity_binary64_14386` `+-lft-identity_binary64_14384` `mul0-rgt_binary64_14383` `mul0-lft_binary64_14382` `*-inverses_binary64_14380` `+-inverses_binary64_14379` `lft-mult-inverse_binary64_14378` `rgt-mult-inverse_binary64_14377` `remove-double-div_binary64_14376` `difference-of-sqr--1_binary64_14371` `difference-of-sqr-1_binary64_14370` `difference-of-squares_binary64_14369` `distribute-lft1-in_binary64_14355`

Counts

209 → 489

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	274	4220
1	640	3977
2	1915	3971
3	3938	3971

prune990.0ms (3.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	484	5	489
Fresh	4	7	11
Picked	1	0	1
Done	0	0	0
Total	489	12	501

Error

0.7b

Counts

501 → 12

Compiler

Compiled 15250 to 6810 computations (55.3% saved)

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.4b	(cbrt.f64 (+.f64 (.f64 x (.f64 9 y)) b))
3.4b	(cbrt.f64 (+.f64 b (.f64 9 (.f64 x y))))
3.4b	(cbrt.f64 (+.f64 b (.f64 9 (.f64 x y))))
6.4b	(*.f64 t (/.f64 a c))

rewrite207.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

20×	`add-sqr-sqrt_binary64_14422`
15×	`add-cube-cbrt_binary64_14435` `*-un-lft-identity_binary64_14400`
13×	`associate-r_binary64_14340`
10×	`times-frac_binary64_14406`
9×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436` `cbrt-prod_binary64_14431`
6×	`pow1_binary64_14461` `cbrt-div_binary64_14432`
4×	`add-log-exp_binary64_14439`
3×	`associate-l_binary64_14341` `pow1/3_binary64_14482` `flip3-+_binary64_14403` `flip-+_binary64_14374`
2×	`prod-exp_binary64_14449` `cbrt-unprod_binary64_14433` `unswap-sqr_binary64_14368`
1×	`pow-prod-down_binary64_14471` `div-exp_binary64_14451` `cbrt-undiv_binary64_14434` `associate-r/_binary64_14342` `div-inv_binary64_14397` `-commutative_binary64_14331`

Counts

4 → 71

Calls

4 calls:

8.0ms	(*.f64 t (/.f64 a c))
5.0ms	(cbrt.f64 (+.f64 (.f64 x (.f64 9 y)) b))
3.0ms	(cbrt.f64 (+.f64 b (.f64 9 (.f64 x y))))
3.0ms	(cbrt.f64 (+.f64 b (.f64 9 (.f64 x y))))

Compiler

Compiled 3828 to 1888 computations (50.7% saved)

series1.3s (5.2%)

Error

0.7b

Counts

4 → 60

Calls

4 calls:

337.0ms	(cbrt.f64 (+.f64 (.f64 x (.f64 9 y)) b))
337.0ms	(cbrt.f64 (+.f64 b (.f64 9 (.f64 x y))))
328.0ms	(cbrt.f64 (+.f64 b (.f64 9 (.f64 x y))))
169.0ms	(*.f64 t (/.f64 a c))

Compiler

Compiled 8967 to 6186 computations (31% saved)

simplify812.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

395×	`associate-/l*_binary64_14345`
360×	`associate-*l/_binary64_14343`
321×	`associate-*r/_binary64_14342`
315×	`cancel-sign-sub-inv_binary64_14366`
291×	`*-commutative_binary64_14331`
279×	`times-frac_binary64_14406`
182×	`associate-/l/_binary64_14347`
168×	`unswap-sqr_binary64_14368`
150×	`sub-neg_binary64_14393`
146×	`exp-sum_binary64_14446`
138×	`associate-l_binary64_14341`
137×	`sqr-pow_binary64_14372`
129×	`associate-/r/_binary64_14346` `associate-r_binary64_14340`
122×	`associate-/r*_binary64_14344`
105×	`distribute-rgt-neg-in_binary64_14358`
95×	`unsub-neg_binary64_14394`
91×	`distribute-lft-neg-in_binary64_14357`
74×	`neg-mul-1_binary64_14396`
73×	`exp-prod_binary64_14452`
72×	`pow-sqr_binary64_14373`
69×	`log-div_binary64_14487`
65×	`log-prod_binary64_14486` `neg-sub0_binary64_14395`
64×	`distribute-rgt-in_binary64_14350`
58×	`exp-diff_binary64_14448`
52×	`*-lft-identity_binary64_14389` `distribute-lft-in_binary64_14349`
51×	`cube-prod_binary64_14428`
50×	`cube-div_binary64_14429`
42×	`div-sub_binary64_14405`
39×	`+-commutative_binary64_14330`
36×	`swap-sqr_binary64_14367`
31×	`distribute-rgt-out--_binary64_14354`
29×	`*-rgt-identity_binary64_14390` `sub0-neg_binary64_14387`
28×	`remove-double-div_binary64_14376`
25×	`associate-+l-_binary64_14335` `associate-+r-_binary64_14334`
22×	`distribute-lft-neg-out_binary64_14359`
21×	`associate--l+_binary64_14337`
17×	`associate--l-_binary64_14338`
16×	`distribute-rgt-out_binary64_14353` `associate-+l+_binary64_14333`
15×	`unpow3_binary64_14466` `distribute-lft-out--_binary64_14352` `associate-+r+_binary64_14332`
14×	`exp-to-pow_binary64_14462` `cube-mult_binary64_14430` `/-rgt-identity_binary64_14391` `+-lft-identity_binary64_14384`
13×	`pow-plus_binary64_14463`
12×	`log-rec_binary64_14488` `associate--r-_binary64_14339`
11×	`+-rgt-identity_binary64_14385`
10×	`exp-neg_binary64_14447`
9×	`unpow1/3_binary64_14467` `rem-exp-log_binary64_14440`
8×	`exp-sqrt_binary64_14453`
7×	`log-pow_binary64_14489` `cube-unmult_binary64_14437` `distribute-rgt-neg-out_binary64_14360` `associate--r+_binary64_14336`
4×	`exp-lft-sqr_binary64_14455` `--rgt-identity_binary64_14386` `mul0-lft_binary64_14382` `difference-of-squares_binary64_14369` `distribute-neg-out_binary64_14362` `distribute-lft-out_binary64_14351`
3×	`unpow2_binary64_14465` `unpow1_binary64_14458` `remove-double-neg_binary64_14388` `mul0-rgt_binary64_14383` `distribute-neg-in_binary64_14361`
2×	`rem-3cbrt-lft_binary64_14425`
1×	`div-exp_binary64_14451` `rec-exp_binary64_14450` `1-exp_binary64_14444` `exp-1-e_binary64_14443` `rem-log-exp_binary64_14441` `rem-cbrt-cube_binary64_14424` `rem-sqrt-square_binary64_14413` `*-inverses_binary64_14380` `+-inverses_binary64_14379` `rgt-mult-inverse_binary64_14377`
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_14663` `erf-erfc_binary64_14662` `erf-odd_binary64_14661` `if-if-and-not_binary64_14660` `if-if-and_binary64_14659` `if-if-or-not_binary64_14658` `if-if-or_binary64_14657` `if-not_binary64_14656` `if-same_binary64_14655` `if-false_binary64_14654` `if-true_binary64_14653` `not-gte_binary64_14652` `not-lte_binary64_14651` `not-gt_binary64_14650` `not-lt_binary64_14649` `gte-same_binary64_14648` `lte-same_binary64_14647` `gt-same_binary64_14646` `lt-same_binary64_14645` `sinh---cosh_binary64_14592` `sinh-+-cosh_binary64_14591` `sinh-cosh_binary64_14590` `tanh-def-c_binary64_14589` `tanh-def-b_binary64_14588` `tanh-def-a_binary64_14587` `cosh-def_binary64_14586` `sinh-def_binary64_14585` `tan-neg_binary64_14532` `cos-neg_binary64_14531` `sin-neg_binary64_14530` `tan-0_binary64_14529` `cos-0_binary64_14528` `sin-0_binary64_14527` `hang-m-tan_binary64_14526` `hang-p-tan_binary64_14525` `hang-m0-tan_binary64_14524` `hang-p0-tan_binary64_14523` `hang-0m-tan_binary64_14522` `hang-0p-tan_binary64_14521` `tan-+PI/2_binary64_14520` `tan-+PI_binary64_14519` `tan-PI_binary64_14518` `tan-PI/3_binary64_14517` `tan-PI/4_binary64_14516` `tan-PI/6_binary64_14515` `cos-+PI/2_binary64_14514` `cos-+PI_binary64_14513` `cos-PI_binary64_14512` `cos-PI/2_binary64_14511` `cos-PI/3_binary64_14510` `cos-PI/4_binary64_14509` `cos-PI/6_binary64_14508` `sin-+PI/2_binary64_14507` `sin-+PI_binary64_14506` `sin-PI_binary64_14505` `sin-PI/2_binary64_14504` `sin-PI/3_binary64_14503` `sin-PI/4_binary64_14502` `sin-PI/6_binary64_14501` `sub-1-sin_binary64_14500` `sub-1-cos_binary64_14499` `-1-add-sin_binary64_14498` `-1-add-cos_binary64_14497` `1-sub-sin_binary64_14496` `1-sub-cos_binary64_14495` `cos-sin-sum_binary64_14494` `log-E_binary64_14490` `pow-base-0_binary64_14484` `unpow1/2_binary64_14464` `pow-base-1_binary64_14460` `unpow0_binary64_14459` `unpow-1_binary64_14457` `exp-lft-cube_binary64_14456` `exp-cbrt_binary64_14454` `prod-exp_binary64_14449` `e-exp-1_binary64_14445` `exp-0_binary64_14442` `cube-neg_binary64_14427` `rem-3cbrt-rft_binary64_14426` `rem-cube-cbrt_binary64_14423` `sqr-abs_binary64_14415` `sqr-neg_binary64_14414` `rem-square-sqrt_binary64_14412` `mul-1-neg_binary64_14392` `div0_binary64_14381` `lft-mult-inverse_binary64_14378` `difference-of-sqr--1_binary64_14371` `difference-of-sqr-1_binary64_14370` `cancel-sign-sub_binary64_14365` `distribute-neg-frac_binary64_14364` `distribute-frac-neg_binary64_14363` `distribute-rgt1-in_binary64_14356` `distribute-lft1-in_binary64_14355` `count-2_binary64_14348`

Counts

131 → 288

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	201	2445
1	475	2376
2	1565	2346
3	3980	2160

prune1.1s (4.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	288	0	288
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	288	12	300

Error

0.7b

Counts

300 → 12

Compiler

Compiled 15997 to 7893 computations (50.7% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (/.f64 1 z) c)
0.2b	(.f64 9 (.f64 x y))
6.4b	(*.f64 t (/.f64 a c))
9.4b	(.f64 (+.f64 b (.f64 9 (*.f64 x y))) (/.f64 (/.f64 1 z) c))

rewrite383.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

156×	`times-frac_binary64_14406`
108×	`add-sqr-sqrt_binary64_14422`
92×	`*-un-lft-identity_binary64_14400`
91×	`add-cube-cbrt_binary64_14435`
57×	`associate-r_binary64_14340`
38×	`add-exp-log_binary64_14438`
28×	`add-cbrt-cube_binary64_14436`
13×	`pow1_binary64_14461` `div-exp_binary64_14451` `associate-/l*_binary64_14345`
10×	`prod-exp_binary64_14449` `div-inv_binary64_14397`
9×	`associate-l_binary64_14341`
8×	`cbrt-unprod_binary64_14433`
7×	`cbrt-undiv_binary64_14434`
6×	`unswap-sqr_binary64_14368`
5×	`pow-prod-down_binary64_14471`
4×	`add-log-exp_binary64_14439`
3×	`-commutative_binary64_14331` `associate-/r_binary64_14344`
2×	`1-exp_binary64_14444` `rec-exp_binary64_14450` `flip3-+_binary64_14403` `frac-times_binary64_14410` `flip-+_binary64_14374` `associate-l/_binary64_14343` `associate-r/_binary64_14342`
1×	`frac-2neg_binary64_14411` `clear-num_binary64_14399` `associate-/l/_binary64_14347`

Counts

4 → 194

Calls

4 calls:

19.0ms	(.f64 (+.f64 b (.f64 9 (*.f64 x y))) (/.f64 (/.f64 1 z) c))
7.0ms	(*.f64 t (/.f64 a c))
6.0ms	(/.f64 (/.f64 1 z) c)
5.0ms	(.f64 9 (.f64 x y))

Compiler

Compiled 5931 to 3033 computations (48.9% saved)

series946.0ms (3.7%)

Error

0.7b

Counts

4 → 45

Calls

4 calls:

590.0ms	(.f64 (+.f64 b (.f64 9 (*.f64 x y))) (/.f64 (/.f64 1 z) c))
159.0ms	(*.f64 t (/.f64 a c))
81.0ms	(/.f64 (/.f64 1 z) c)
77.0ms	(.f64 9 (.f64 x y))

Compiler

Compiled 2560 to 1893 computations (26.1% saved)

simplify632.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

410×	`distribute-rgt-in_binary64_14350`
401×	`distribute-lft-in_binary64_14349`
356×	`associate-/r/_binary64_14346`
272×	`associate-l_binary64_14341`
216×	`associate-r_binary64_14340`
193×	`associate-/l*_binary64_14345`
179×	`associate-*l/_binary64_14343`
177×	`associate-*r/_binary64_14342`
173×	`associate-/l/_binary64_14347`
148×	`*-commutative_binary64_14331`
104×	`times-frac_binary64_14406`
101×	`associate-/r*_binary64_14344`
100×	`sub-neg_binary64_14393`
72×	`cancel-sign-sub-inv_binary64_14366`
70×	`neg-mul-1_binary64_14396`
65×	`log-prod_binary64_14486`
61×	`exp-prod_binary64_14452` `*-rgt-identity_binary64_14390` `distribute-rgt-neg-in_binary64_14358`
58×	`neg-sub0_binary64_14395`
55×	`cube-prod_binary64_14428`
52×	`*-lft-identity_binary64_14389`
50×	`distribute-lft-neg-in_binary64_14357`
45×	`log-div_binary64_14487`
40×	`sqr-pow_binary64_14372`
38×	`exp-sum_binary64_14446`
37×	`unsub-neg_binary64_14394`
36×	`/-rgt-identity_binary64_14391`
35×	`cube-div_binary64_14429`
34×	`div-sub_binary64_14405`
33×	`distribute-rgt-out_binary64_14353`
27×	`swap-sqr_binary64_14367` `associate-+l-_binary64_14335` `+-commutative_binary64_14330`
26×	`unswap-sqr_binary64_14368`
25×	`associate-+l+_binary64_14333`
22×	`associate-+r+_binary64_14332`
20×	`unpow3_binary64_14466`
18×	`cube-mult_binary64_14430` `associate--l-_binary64_14338`
15×	`distribute-lft-neg-out_binary64_14359`
14×	`associate-+r-_binary64_14334`
13×	`cube-unmult_binary64_14437` `distribute-rgt-out--_binary64_14354`
12×	`log-rec_binary64_14488`
10×	`pow-sqr_binary64_14373`
7×	`associate--l+_binary64_14337`
6×	`distribute-lft-out_binary64_14351`
4×	`distribute-neg-frac_binary64_14364` `distribute-rgt-neg-out_binary64_14360`
3×	`log-pow_binary64_14489` `pow-plus_binary64_14463` `sub0-neg_binary64_14387` `distribute-neg-out_binary64_14362` `distribute-lft-out--_binary64_14352` `associate--r-_binary64_14339` `associate--r+_binary64_14336`
2×	`remove-double-div_binary64_14376`
1×	`pow-base-1_binary64_14460` `div-exp_binary64_14451` `rec-exp_binary64_14450` `prod-exp_binary64_14449` `1-exp_binary64_14444` `exp-1-e_binary64_14443` `rem-log-exp_binary64_14441` `rem-cbrt-cube_binary64_14424` `rem-sqrt-square_binary64_14413` `difference-of-squares_binary64_14369` `count-2_binary64_14348`
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_14663` `erf-erfc_binary64_14662` `erf-odd_binary64_14661` `if-if-and-not_binary64_14660` `if-if-and_binary64_14659` `if-if-or-not_binary64_14658` `if-if-or_binary64_14657` `if-not_binary64_14656` `if-same_binary64_14655` `if-false_binary64_14654` `if-true_binary64_14653` `not-gte_binary64_14652` `not-lte_binary64_14651` `not-gt_binary64_14650` `not-lt_binary64_14649` `gte-same_binary64_14648` `lte-same_binary64_14647` `gt-same_binary64_14646` `lt-same_binary64_14645` `sinh---cosh_binary64_14592` `sinh-+-cosh_binary64_14591` `sinh-cosh_binary64_14590` `tanh-def-c_binary64_14589` `tanh-def-b_binary64_14588` `tanh-def-a_binary64_14587` `cosh-def_binary64_14586` `sinh-def_binary64_14585` `tan-neg_binary64_14532` `cos-neg_binary64_14531` `sin-neg_binary64_14530` `tan-0_binary64_14529` `cos-0_binary64_14528` `sin-0_binary64_14527` `hang-m-tan_binary64_14526` `hang-p-tan_binary64_14525` `hang-m0-tan_binary64_14524` `hang-p0-tan_binary64_14523` `hang-0m-tan_binary64_14522` `hang-0p-tan_binary64_14521` `tan-+PI/2_binary64_14520` `tan-+PI_binary64_14519` `tan-PI_binary64_14518` `tan-PI/3_binary64_14517` `tan-PI/4_binary64_14516` `tan-PI/6_binary64_14515` `cos-+PI/2_binary64_14514` `cos-+PI_binary64_14513` `cos-PI_binary64_14512` `cos-PI/2_binary64_14511` `cos-PI/3_binary64_14510` `cos-PI/4_binary64_14509` `cos-PI/6_binary64_14508` `sin-+PI/2_binary64_14507` `sin-+PI_binary64_14506` `sin-PI_binary64_14505` `sin-PI/2_binary64_14504` `sin-PI/3_binary64_14503` `sin-PI/4_binary64_14502` `sin-PI/6_binary64_14501` `sub-1-sin_binary64_14500` `sub-1-cos_binary64_14499` `-1-add-sin_binary64_14498` `-1-add-cos_binary64_14497` `1-sub-sin_binary64_14496` `1-sub-cos_binary64_14495` `cos-sin-sum_binary64_14494` `log-E_binary64_14490` `pow-base-0_binary64_14484` `unpow1/3_binary64_14467` `unpow2_binary64_14465` `unpow1/2_binary64_14464` `exp-to-pow_binary64_14462` `unpow0_binary64_14459` `unpow1_binary64_14458` `unpow-1_binary64_14457` `exp-lft-cube_binary64_14456` `exp-lft-sqr_binary64_14455` `exp-cbrt_binary64_14454` `exp-sqrt_binary64_14453` `exp-diff_binary64_14448` `exp-neg_binary64_14447` `e-exp-1_binary64_14445` `exp-0_binary64_14442` `rem-exp-log_binary64_14440` `cube-neg_binary64_14427` `rem-3cbrt-rft_binary64_14426` `rem-3cbrt-lft_binary64_14425` `rem-cube-cbrt_binary64_14423` `sqr-abs_binary64_14415` `sqr-neg_binary64_14414` `rem-square-sqrt_binary64_14412` `mul-1-neg_binary64_14392` `remove-double-neg_binary64_14388` `--rgt-identity_binary64_14386` `+-rgt-identity_binary64_14385` `+-lft-identity_binary64_14384` `mul0-rgt_binary64_14383` `mul0-lft_binary64_14382` `div0_binary64_14381` `*-inverses_binary64_14380` `+-inverses_binary64_14379` `lft-mult-inverse_binary64_14378` `rgt-mult-inverse_binary64_14377` `difference-of-sqr--1_binary64_14371` `difference-of-sqr-1_binary64_14370` `cancel-sign-sub_binary64_14365` `distribute-frac-neg_binary64_14363` `distribute-neg-in_binary64_14361` `distribute-rgt1-in_binary64_14356` `distribute-lft1-in_binary64_14355`

Counts

239 → 698

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	332	4488
1	804	4225
2	3022	3727
3	4685	3727

prune1.7s (6.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	697	1	698
Fresh	2	8	10
Picked	0	1	1
Done	0	1	1
Total	699	11	710

Error

0.2b

Counts

710 → 11

Compiler

Compiled 21836 to 10456 computations (52.1% saved)

regimes3.9s (15.2%)

Accuracy

Total 5.0b remaining (96.2%)

Threshold costs 0b (0%)

Compiler

Compiled 34306 to 29156 computations (15% saved)

bsearch7.0ms (0%)

Compiler: Compiled 19 to 18 computations (5.3% saved)

simplify20.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

27×	`*-commutative_binary64_14331`
20×	`+-commutative_binary64_14330`
16×	`sub-neg_binary64_14393`
14×	`distribute-rgt-neg-in_binary64_14358`
12×	`neg-mul-1_binary64_14396` `neg-sub0_binary64_14395`
11×	`distribute-lft-neg-in_binary64_14357`
8×	`cancel-sign-sub-inv_binary64_14366`
3×	`distribute-lft-neg-out_binary64_14359`
1×	`1-exp_binary64_14444` `distribute-neg-frac_binary64_14364`
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_14660` `if-if-and_binary64_14659` `if-if-or-not_binary64_14658` `if-if-or_binary64_14657` `if-not_binary64_14656` `if-same_binary64_14655` `if-false_binary64_14654` `if-true_binary64_14653` `tan-0_binary64_14529` `cos-0_binary64_14528` `sin-0_binary64_14527` `unpow1_binary64_14458` `e-exp-1_binary64_14445` `exp-1-e_binary64_14443` `exp-0_binary64_14442` `sqr-abs_binary64_14415` `sqr-neg_binary64_14414` `unsub-neg_binary64_14394` `mul-1-neg_binary64_14392` `/-rgt-identity_binary64_14391` `-rgt-identity_binary64_14390` `-lft-identity_binary64_14389` `remove-double-neg_binary64_14388` `sub0-neg_binary64_14387` `--rgt-identity_binary64_14386` `+-rgt-identity_binary64_14385` `+-lft-identity_binary64_14384` `cancel-sign-sub_binary64_14365` `distribute-frac-neg_binary64_14363` `distribute-neg-out_binary64_14362` `distribute-neg-in_binary64_14361` `distribute-rgt-neg-out_binary64_14360`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	345
1	100	345
2	130	345
3	164	345
4	183	345
5	191	345
6	193	345

Proof

(if real (<= f64 (/ f64 (+ f64 (- f64 (* f64 (* f64 h0 9) h1) (* f64 (* f64 (* f64 h2 4) h3) h4)) h5) (* f64 h2 h6)) h7) (- f64 (+ f64 (/ f64 (/ f64 h5 h2) h6) (* f64 (/ f64 h0 (/ f64 h2 h1)) (/ f64 9 h6))) (* f64 4 (* f64 h3 (/ f64 h4 h6)))) (if real (<= f64 (/ f64 (+ f64 (- f64 (* f64 (* f64 h0 9) h1) (* f64 (* f64 (* f64 h2 4) h3) h4)) h5) (* f64 h2 h6)) -6635452369521323/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544) (/ f64 (+ f64 (- f64 (* f64 (* f64 h0 9) h1) (* f64 (* f64 (* f64 h2 4) h3) h4)) h5) (* f64 h2 h6)) (if real (<= f64 (/ f64 (+ f64 (- f64 (* f64 (* f64 h0 9) h1) (* f64 (* f64 (* f64 h2 4) h3) h4)) h5) (* f64 h2 h6)) 212431980509902328011069162103242752) (- f64 (/ f64 (/ f64 (=> (+ f64 (* f64 h0 (* f64 9 h1)) h5)) h2) h6) (* f64 4 (* f64 h3 (/ f64 h4 h6)))) (if real (<= f64 (/ f64 (+ f64 (- f64 (* f64 (* f64 h0 9) h1) (* f64 (* f64 (* f64 h2 4) h3) h4)) h5) (* f64 h2 h6)) 5221381764685661504827871978469086902728449680726989521824251750466416324725325964976383861617914164016213200827350500402043486090310633421632447248858965848030137249484830178032694879378614662924422460742292560237102476684469086482462019559168035541450905092096) (/ f64 (+ f64 (- f64 (* f64 (* f64 h0 9) h1) (* f64 (* f64 (* f64 h2 4) h3) h4)) h5) (* f64 h2 h6)) (if real (<= f64 (/ f64 (+ f64 (- f64 (* f64 (* f64 h0 9) h1) (* f64 (* f64 (* f64 h2 4) h3) h4)) h5) (* f64 h2 h6)) h8) (/ f64 (- f64 (/ f64 1 (/ f64 h2 (+ f64 h5 (* f64 9 (* f64 h0 h1))))) (* f64 h3 (* f64 4 h4))) h6) (- f64 (+ f64 (/ f64 (/ f64 h5 h2) h6) (* f64 (/ f64 h0 (/ f64 h2 h1)) (/ f64 9 h6))) (* f64 4 (* f64 h3 (/ f64 h4 h6)))))))))
+-commutative_binary64_14330 =>
(if real (<= f64 (/ f64 (+ f64 (- f64 (* f64 (* f64 h0 9) h1) (* f64 (* f64 (* f64 h2 4) h3) h4)) h5) (* f64 h2 h6)) h7) (- f64 (+ f64 (/ f64 (/ f64 h5 h2) h6) (* f64 (/ f64 h0 (/ f64 h2 h1)) (/ f64 9 h6))) (* f64 4 (* f64 h3 (/ f64 h4 h6)))) (if real (<= f64 (/ f64 (+ f64 (- f64 (* f64 (* f64 h0 9) h1) (* f64 (* f64 (* f64 h2 4) h3) h4)) h5) (* f64 h2 h6)) -6635452369521323/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544) (/ f64 (+ f64 (- f64 (* f64 (* f64 h0 9) h1) (* f64 (* f64 (* f64 h2 4) h3) h4)) h5) (* f64 h2 h6)) (if real (<= f64 (/ f64 (+ f64 (- f64 (* f64 (* f64 h0 9) h1) (* f64 (* f64 (* f64 h2 4) h3) h4)) h5) (* f64 h2 h6)) 212431980509902328011069162103242752) (- f64 (/ f64 (/ f64 (+ f64 h5 (* f64 h0 (* f64 9 h1))) h2) h6) (* f64 4 (* f64 h3 (/ f64 h4 h6)))) (if real (<= f64 (/ f64 (+ f64 (- f64 (* f64 (* f64 h0 9) h1) (* f64 (* f64 (* f64 h2 4) h3) h4)) h5) (* f64 h2 h6)) 5221381764685661504827871978469086902728449680726989521824251750466416324725325964976383861617914164016213200827350500402043486090310633421632447248858965848030137249484830178032694879378614662924422460742292560237102476684469086482462019559168035541450905092096) (/ f64 (+ f64 (- f64 (* f64 (* f64 h0 9) h1) (* f64 (* f64 (* f64 h2 4) h3) h4)) h5) (* f64 h2 h6)) (if real (<= f64 (/ f64 (+ f64 (- f64 (* f64 (* f64 h0 9) h1) (* f64 (* f64 (* f64 h2 4) h3) h4)) h5) (* f64 h2 h6)) h8) (/ f64 (- f64 (/ f64 1 (/ f64 h2 (+ f64 h5 (* f64 9 (* f64 h0 h1))))) (* f64 h3 (* f64 4 h4))) h6) (- f64 (+ f64 (/ f64 (/ f64 h5 h2) h6) (* f64 (/ f64 h0 (/ f64 h2 h1)) (/ f64 9 h6))) (* f64 4 (* f64 h3 (/ f64 h4 h6)))))))))

end0.0ms (0%)

sample4.3s (16.8%)

Algorithm

1×

intervals

Results

486.0ms	8000×	body	128	valid
292.0ms	4764×	body	128	invalid

Compiler

Compiled 3880 to 3155 computations (18.7% saved)

Details

analyze1.8s (7.2%)

sample55.0ms (0.2%)

simplify331.0ms (1.3%)

prune22.0ms (0.1%)

localize14.0ms (0.1%)

rewrite199.0ms (0.8%)

series2.7s (10.6%)

simplify1.4s (5.3%)

prune702.0ms (2.7%)

localize18.0ms (0.1%)

rewrite291.0ms (1.1%)

series1.2s (4.7%)

simplify487.0ms (1.9%)

prune990.0ms (3.9%)

localize33.0ms (0.1%)

rewrite207.0ms (0.8%)

series1.3s (5.2%)

simplify812.0ms (3.2%)

prune1.1s (4.1%)

localize20.0ms (0.1%)

rewrite383.0ms (1.5%)

series946.0ms (3.7%)

simplify632.0ms (2.5%)

prune1.7s (6.7%)

regimes3.9s (15.2%)

bsearch7.0ms (0%)

simplify20.0ms (0.1%)

end0.0ms (0%)

sample4.3s (16.8%)

Profiling