Details

analyze1.1s (8.2%)

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
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
9.4%	90.4%	0.2%	11
9.4%	90.4%	0.2%	12
10.1%	89.6%	0.2%	13
20.8%	78.9%	0.2%	14

Compiler

Compiled 14 to 14 computations (0% saved)

sample35.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
5.0ms	123×	body	128	invalid

Compiler

Compiled 27 to 32 computations (-18.5% saved)

simplify502.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

446×	`distribute-rgt-neg-in_binary64_14358`
400×	`div-sub_binary64_14405`
399×	`associate-/l/_binary64_14347`
304×	`swap-sqr_binary64_14367`
303×	`distribute-lft-neg-in_binary64_14357`
301×	`exp-prod_binary64_14452`
288×	`associate-/l*_binary64_14345`
276×	`associate-/r/_binary64_14346`
225×	`cancel-sign-sub-inv_binary64_14366`
193×	`times-frac_binary64_14406`
179×	`associate-/r*_binary64_14344`
174×	`sub-neg_binary64_14393`
173×	`distribute-neg-frac_binary64_14364`
169×	`distribute-rgt1-in_binary64_14356`
164×	`distribute-neg-in_binary64_14361`
148×	`neg-mul-1_binary64_14396`
140×	`neg-sub0_binary64_14395`
126×	`associate-+l-_binary64_14335`
123×	`associate-*r/_binary64_14342`
116×	`associate-*l/_binary64_14343`
107×	`distribute-rgt-in_binary64_14350`
102×	`distribute-lft-out_binary64_14351`
100×	`associate-r_binary64_14340`
91×	`unsub-neg_binary64_14394`
71×	`+-commutative_binary64_14330`
65×	`*-commutative_binary64_14331`
63×	`distribute-lft-in_binary64_14349`
60×	`associate-l_binary64_14341`
56×	`distribute-lft-neg-out_binary64_14359`
54×	`distribute-rgt-out_binary64_14353`
36×	`mul0-lft_binary64_14382`
34×	`distribute-rgt-neg-out_binary64_14360`
33×	`div0_binary64_14381`
26×	`mul0-rgt_binary64_14383` `distribute-neg-out_binary64_14362`
21×	`associate-+r-_binary64_14334`
20×	`distribute-lft1-in_binary64_14355`
18×	`exp-sum_binary64_14446`
17×	`remove-double-neg_binary64_14388` `associate-+l+_binary64_14333` `associate-+r+_binary64_14332`
16×	`associate--l-_binary64_14338`
14×	`+-lft-identity_binary64_14384`
13×	`sub0-neg_binary64_14387` `distribute-rgt-out--_binary64_14354` `count-2_binary64_14348`
11×	`associate--r+_binary64_14336`
10×	`+-rgt-identity_binary64_14385`
9×	`--rgt-identity_binary64_14386`
7×	`distribute-frac-neg_binary64_14363`
3×	`associate--r-_binary64_14339`
1×	`exp-lft-sqr_binary64_14455` `exp-sqrt_binary64_14453` `exp-diff_binary64_14448` `1-exp_binary64_14444` `cancel-sign-sub_binary64_14365` `associate--l+_binary64_14337`
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` `pow-plus_binary64_14463` `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` `div-exp_binary64_14451` `rec-exp_binary64_14450` `prod-exp_binary64_14449` `exp-neg_binary64_14447` `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-unmult_binary64_14437` `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` `sqr-neg_binary64_14414` `rem-sqrt-square_binary64_14413` `rem-square-sqrt_binary64_14412` `mul-1-neg_binary64_14392` `/-rgt-identity_binary64_14391` `-rgt-identity_binary64_14390` `-lft-identity_binary64_14389` `*-inverses_binary64_14380` `+-inverses_binary64_14379` `lft-mult-inverse_binary64_14378` `rgt-mult-inverse_binary64_14377` `remove-double-div_binary64_14376` `pow-sqr_binary64_14373` `sqr-pow_binary64_14372` `difference-of-sqr--1_binary64_14371` `difference-of-sqr-1_binary64_14370` `difference-of-squares_binary64_14369` `unswap-sqr_binary64_14368` `distribute-lft-out--_binary64_14352`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	19
1	30	19
2	100	19
3	303	19
4	757	19
5	1436	19
6	2437	19
7	2917	19

prune8.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

9.1b

Counts

3 → 3

Compiler

Compiled 65 to 59 computations (9.2% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b	(.f64 z (.f64 9 t))
0.2b	(-.f64 (.f64 x y) (.f64 z (*.f64 9 t)))
8.6b	(/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 9 t))) (.f64 a 2))

rewrite102.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

8.9b

Rules

13×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436`
8×	`pow1_binary64_14461`
6×	`add-cube-cbrt_binary64_14435` `add-sqr-sqrt_binary64_14422` `*-un-lft-identity_binary64_14400`
5×	`add-log-exp_binary64_14439`
4×	`prod-exp_binary64_14449` `cbrt-unprod_binary64_14433`
3×	`times-frac_binary64_14406` `associate-/l_binary64_14345` `pow-prod-down_binary64_14471` `associate-l*_binary64_14341`
2×	`div-exp_binary64_14451` `cbrt-undiv_binary64_14434` `flip3--_binary64_14404` `associate-/l/_binary64_14347` `flip--_binary64_14375`
1×	`frac-2neg_binary64_14411` `div-sub_binary64_14405` `clear-num_binary64_14399` `div-inv_binary64_14397` `associate-/r_binary64_14344` `diff-log_binary64_14492` `sub-neg_binary64_14393` `cancel-sign-sub-inv_binary64_14366` `associate-r_binary64_14340` `-commutative_binary64_14331`

Counts

3 → 54

Calls

3 calls:

8.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 9 t))) (.f64 a 2))
5.0ms	(.f64 z (.f64 9 t))
4.0ms	(-.f64 (.f64 x y) (.f64 z (*.f64 9 t)))

Compiler

Compiled 1206 to 698 computations (42.1% saved)

series1.2s (8.6%)

Error

8.6b

Counts

3 → 57

Calls

3 calls:

726.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 9 t))) (.f64 a 2))
298.0ms	(-.f64 (.f64 x y) (.f64 z (*.f64 9 t)))
89.0ms	(.f64 z (.f64 9 t))

Compiler

Compiled 1725 to 1383 computations (19.8% saved)

simplify228.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

347×	`*-commutative_binary64_14331`
329×	`div-sub_binary64_14405`
304×	`associate-/l*_binary64_14345`
277×	`times-frac_binary64_14406`
192×	`associate-/r*_binary64_14344`
177×	`distribute-rgt-neg-in_binary64_14358`
174×	`cancel-sign-sub-inv_binary64_14366`
157×	`associate-l_binary64_14341`
153×	`associate-r_binary64_14340`
151×	`distribute-lft-neg-in_binary64_14357`
141×	`exp-prod_binary64_14452`
133×	`neg-sub0_binary64_14395`
131×	`distribute-rgt-in_binary64_14350`
129×	`neg-mul-1_binary64_14396`
127×	`distribute-lft-in_binary64_14349`
118×	`associate-*l/_binary64_14343`
99×	`sub-neg_binary64_14393`
98×	`associate-/l/_binary64_14347`
91×	`associate-*r/_binary64_14342`
72×	`associate-/r/_binary64_14346`
54×	`unsub-neg_binary64_14394`
43×	`distribute-rgt-out_binary64_14353`
37×	`distribute-neg-frac_binary64_14364`
34×	`sqr-pow_binary64_14372`
32×	`cube-prod_binary64_14428`
31×	`distribute-lft-neg-out_binary64_14359`
30×	`log-prod_binary64_14486`
28×	`exp-sum_binary64_14446`
27×	`+-commutative_binary64_14330`
20×	`exp-sqrt_binary64_14453`
18×	`distribute-lft-out_binary64_14351`
15×	`exp-diff_binary64_14448` `swap-sqr_binary64_14367`
12×	`associate-+r+_binary64_14332`
11×	`associate-+r-_binary64_14334`
10×	`unpow3_binary64_14466` `pow-sqr_binary64_14373` `unswap-sqr_binary64_14368` `distribute-neg-in_binary64_14361` `associate-+l+_binary64_14333`
8×	`associate-+l-_binary64_14335`
7×	`cube-unmult_binary64_14437` `distribute-rgt-neg-out_binary64_14360`
6×	`cube-mult_binary64_14430` `associate--r+_binary64_14336`
5×	`log-div_binary64_14487`
3×	`mul-1-neg_binary64_14392` `difference-of-squares_binary64_14369` `associate--r-_binary64_14339`
2×	`cube-div_binary64_14429`
1×	`div-exp_binary64_14451` `1-exp_binary64_14444` `cube-neg_binary64_14427` `sqr-neg_binary64_14414` `remove-double-neg_binary64_14388` `+-rgt-identity_binary64_14385`
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` `pow-base-0_binary64_14484` `unpow1/3_binary64_14467` `unpow2_binary64_14465` `unpow1/2_binary64_14464` `pow-plus_binary64_14463` `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-lft-sqr_binary64_14455` `exp-cbrt_binary64_14454` `rec-exp_binary64_14450` `prod-exp_binary64_14449` `exp-neg_binary64_14447` `e-exp-1_binary64_14445` `exp-1-e_binary64_14443` `exp-0_binary64_14442` `rem-log-exp_binary64_14441` `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` `/-rgt-identity_binary64_14391` `-rgt-identity_binary64_14390` `-lft-identity_binary64_14389` `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` `distribute-rgt-out--_binary64_14354` `distribute-lft-out--_binary64_14352` `count-2_binary64_14348` `associate--l-_binary64_14338` `associate--l+_binary64_14337`

Counts

111 → 296

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	130	1791
1	370	1646
2	1354	1644
3	3691	1644

prune369.0ms (2.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	287	9	296
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	289	10	299

Error

0.0b

Counts

299 → 10

Compiler

Compiled 6006 to 3257 computations (45.8% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 (.f64 x y) (.f64 a 2)) (.f64 (/.f64 z a) (/.f64 (.f64 t 9) 2)))
4.3b	(/.f64 (.f64 x y) (.f64 a 2))
6.3b	(.f64 (/.f64 z a) (/.f64 (.f64 t 9) 2))

rewrite146.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

36×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436`
17×	`add-sqr-sqrt_binary64_14422`
14×	`times-frac_binary64_14406`
13×	`associate-l_binary64_14341`
12×	`prod-exp_binary64_14449` `add-cube-cbrt_binary64_14435` `cbrt-unprod_binary64_14433` `*-un-lft-identity_binary64_14400`
11×	`div-exp_binary64_14451` `cbrt-undiv_binary64_14434`
7×	`associate-r_binary64_14340`
5×	`pow1_binary64_14461` `add-log-exp_binary64_14439`
3×	`frac-times_binary64_14410` `div-inv_binary64_14397` `frac-sub_binary64_14409`
2×	`unswap-sqr_binary64_14368` `associate-l/_binary64_14343` `associate-r/_binary64_14342`
1×	`pow-prod-down_binary64_14471` `-commutative_binary64_14331` `frac-2neg_binary64_14411` `clear-num_binary64_14399` `associate-/l_binary64_14345` `associate-/r*_binary64_14344` `diff-log_binary64_14492` `sub-div_binary64_14407` `flip3--_binary64_14404` `sub-neg_binary64_14393` `flip--_binary64_14375` `cancel-sign-sub-inv_binary64_14366`

Counts

3 → 83

Calls

3 calls:

10.0ms	(.f64 (/.f64 z a) (/.f64 (.f64 t 9) 2))
8.0ms	(-.f64 (/.f64 (.f64 x y) (.f64 a 2)) (.f64 (/.f64 z a) (/.f64 (.f64 t 9) 2)))
6.0ms	(/.f64 (.f64 x y) (.f64 a 2))

Compiler

Compiled 2162 to 1217 computations (43.7% saved)

series1.1s (8.5%)

Error

0.0b

Counts

3 → 45

Calls

3 calls:

713.0ms	(-.f64 (/.f64 (.f64 x y) (.f64 a 2)) (.f64 (/.f64 z a) (/.f64 (.f64 t 9) 2)))
210.0ms	(.f64 (/.f64 z a) (/.f64 (.f64 t 9) 2))
183.0ms	(/.f64 (.f64 x y) (.f64 a 2))

Compiler

Compiled 1695 to 1306 computations (22.9% saved)

simplify225.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

768×	`associate-/r*_binary64_14344`
523×	`associate-/l/_binary64_14347`
350×	`associate-/r/_binary64_14346`
232×	`times-frac_binary64_14406`
212×	`associate-r_binary64_14340`
204×	`associate-l_binary64_14341`
203×	`distribute-rgt-neg-in_binary64_14358`
185×	`associate-/l*_binary64_14345`
184×	`cancel-sign-sub-inv_binary64_14366`
165×	`distribute-lft-neg-in_binary64_14357`
164×	`associate-*l/_binary64_14343`
155×	`associate-*r/_binary64_14342`
134×	`distribute-neg-frac_binary64_14364`
111×	`*-commutative_binary64_14331`
66×	`sub-neg_binary64_14393`
53×	`neg-sub0_binary64_14395`
50×	`neg-mul-1_binary64_14396`
45×	`log-div_binary64_14487` `distribute-rgt-in_binary64_14350`
44×	`cube-div_binary64_14429`
42×	`distribute-lft-neg-out_binary64_14359` `distribute-lft-in_binary64_14349`
39×	`sqr-pow_binary64_14372`
37×	`exp-prod_binary64_14452`
34×	`log-prod_binary64_14486`
31×	`cube-prod_binary64_14428`
24×	`+-commutative_binary64_14330`
20×	`swap-sqr_binary64_14367`
18×	`*-rgt-identity_binary64_14390`
17×	`distribute-lft-out_binary64_14351`
16×	`distribute-rgt-out_binary64_14353`
14×	`unpow3_binary64_14466`
13×	`distribute-neg-in_binary64_14361`
12×	`*-lft-identity_binary64_14389` `unswap-sqr_binary64_14368`
10×	`cube-mult_binary64_14430`
9×	`cube-unmult_binary64_14437` `div-sub_binary64_14405` `pow-sqr_binary64_14373`
8×	`associate-+l+_binary64_14333`
6×	`distribute-rgt-neg-out_binary64_14360` `associate--l+_binary64_14337` `associate--r+_binary64_14336` `associate-+r+_binary64_14332`
5×	`exp-sqrt_binary64_14453`
4×	`unsub-neg_binary64_14394` `distribute-rgt-out--_binary64_14354`
3×	`exp-sum_binary64_14446` `mul-1-neg_binary64_14392` `difference-of-squares_binary64_14369` `distribute-lft-out--_binary64_14352` `associate-+l-_binary64_14335` `associate-+r-_binary64_14334`
2×	`exp-diff_binary64_14448` `/-rgt-identity_binary64_14391`
1×	`pow-base-1_binary64_14460` `div-exp_binary64_14451` `prod-exp_binary64_14449` `1-exp_binary64_14444` `exp-1-e_binary64_14443` `rem-log-exp_binary64_14441` `+-rgt-identity_binary64_14385` `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` `log-pow_binary64_14489` `log-rec_binary64_14488` `pow-base-0_binary64_14484` `unpow1/3_binary64_14467` `unpow2_binary64_14465` `unpow1/2_binary64_14464` `pow-plus_binary64_14463` `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` `rec-exp_binary64_14450` `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-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` `remove-double-neg_binary64_14388` `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` `associate--l-_binary64_14338`

Counts

128 → 327

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	202	2161
1	599	2096
2	2471	2093

prune457.0ms (3.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	324	3	327
Fresh	3	6	9
Picked	0	1	1
Done	0	0	0
Total	327	10	337

Error

0.0b

Counts

337 → 10

Compiler

Compiled 7794 to 4325 computations (44.5% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 (.f64 x y) (.f64 a 2)) (.f64 9/2 (.f64 t (/.f64 z a))))
0.2b	(.f64 9/2 (.f64 t (/.f64 z a)))
4.3b	(/.f64 (.f64 x y) (.f64 a 2))
6.2b	(*.f64 t (/.f64 z a))

rewrite143.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436`
18×	`add-sqr-sqrt_binary64_14422`
14×	`associate-r_binary64_14340`
13×	`add-cube-cbrt_binary64_14435` `*-un-lft-identity_binary64_14400`
11×	`pow1_binary64_14461` `prod-exp_binary64_14449` `cbrt-unprod_binary64_14433` `times-frac_binary64_14406`
6×	`div-exp_binary64_14451` `add-log-exp_binary64_14439` `cbrt-undiv_binary64_14434` `associate-l_binary64_14341`
5×	`associate-*r/_binary64_14342`
4×	`pow-prod-down_binary64_14471`
2×	`unswap-sqr_binary64_14368` `div-inv_binary64_14397` `*-commutative_binary64_14331`
1×	`frac-2neg_binary64_14411` `clear-num_binary64_14399` `associate-/l_binary64_14345` `associate-/r_binary64_14344` `diff-log_binary64_14492` `frac-sub_binary64_14409` `flip3--_binary64_14404` `sub-neg_binary64_14393` `flip--_binary64_14375` `cancel-sign-sub-inv_binary64_14366`

Counts

4 → 87

Calls

4 calls:

10.0ms	(*.f64 t (/.f64 z a))
9.0ms	(-.f64 (/.f64 (.f64 x y) (.f64 a 2)) (.f64 9/2 (.f64 t (/.f64 z a))))
7.0ms	(.f64 9/2 (.f64 t (/.f64 z a)))
6.0ms	(/.f64 (.f64 x y) (.f64 a 2))

Compiler

Compiled 1985 to 897 computations (54.8% saved)

series1.3s (9.4%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

671.0ms	(-.f64 (/.f64 (.f64 x y) (.f64 a 2)) (.f64 9/2 (.f64 t (/.f64 z a))))
202.0ms	(/.f64 (.f64 x y) (.f64 a 2))
193.0ms	(.f64 9/2 (.f64 t (/.f64 z a)))
167.0ms	(*.f64 t (/.f64 z a))

Compiler

Compiled 2046 to 1550 computations (24.2% saved)

simplify233.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

624×	`associate-/r*_binary64_14344`
372×	`associate-/l/_binary64_14347`
213×	`associate-/r/_binary64_14346`
198×	`times-frac_binary64_14406`
197×	`associate-l_binary64_14341`
179×	`associate-r_binary64_14340`
171×	`distribute-rgt-neg-in_binary64_14358`
166×	`cancel-sign-sub-inv_binary64_14366`
162×	`neg-mul-1_binary64_14396` `neg-sub0_binary64_14395`
151×	`distribute-lft-neg-in_binary64_14357`
126×	`associate-/l*_binary64_14345`
98×	`associate-*r/_binary64_14342`
86×	`associate-*l/_binary64_14343`
84×	`exp-prod_binary64_14452`
81×	`*-commutative_binary64_14331`
69×	`log-prod_binary64_14486`
67×	`log-div_binary64_14487`
65×	`cube-prod_binary64_14428`
63×	`cube-div_binary64_14429`
52×	`distribute-neg-frac_binary64_14364`
49×	`sub-neg_binary64_14393`
42×	`sqr-pow_binary64_14372` `distribute-rgt-in_binary64_14350`
39×	`distribute-lft-in_binary64_14349`
37×	`+-commutative_binary64_14330`
32×	`unpow3_binary64_14466`
30×	`div-sub_binary64_14405`
29×	`distribute-rgt-out_binary64_14353`
28×	`cube-mult_binary64_14430`
26×	`distribute-lft-neg-out_binary64_14359` `associate-+l+_binary64_14333`
25×	`associate-+l-_binary64_14335`
24×	`swap-sqr_binary64_14367`
23×	`*-rgt-identity_binary64_14390` `associate-+r+_binary64_14332`
21×	`associate-+r-_binary64_14334`
17×	`*-lft-identity_binary64_14389` `distribute-lft-out_binary64_14351`
14×	`exp-sum_binary64_14446`
12×	`unswap-sqr_binary64_14368`
11×	`associate--l+_binary64_14337`
10×	`div-exp_binary64_14451` `pow-sqr_binary64_14373`
9×	`prod-exp_binary64_14449` `cube-unmult_binary64_14437` `associate--r+_binary64_14336`
7×	`exp-diff_binary64_14448` `/-rgt-identity_binary64_14391`
6×	`log-rec_binary64_14488` `distribute-neg-in_binary64_14361`
4×	`exp-sqrt_binary64_14453` `distribute-rgt-neg-out_binary64_14360`
3×	`rec-exp_binary64_14450` `unsub-neg_binary64_14394` `mul-1-neg_binary64_14392` `difference-of-squares_binary64_14369`
2×	`+-rgt-identity_binary64_14385` `associate--r-_binary64_14339`
1×	`log-pow_binary64_14489` `pow-plus_binary64_14463` `exp-neg_binary64_14447` `1-exp_binary64_14444` `exp-1-e_binary64_14443` `rem-log-exp_binary64_14441` `sqr-neg_binary64_14414` `distribute-lft-out--_binary64_14352` `associate--l-_binary64_14338`
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` `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` `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` `rem-sqrt-square_binary64_14413` `rem-square-sqrt_binary64_14412` `remove-double-neg_binary64_14388` `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` `distribute-rgt-out--_binary64_14354` `count-2_binary64_14348`

Counts

141 → 265

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	180	1980
1	481	1886
2	2043	1886
3	4570	1886

prune319.0ms (2.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	264	1	265
Fresh	1	7	8
Picked	1	0	1
Done	0	1	1
Total	266	9	275

Error

0.0b

Counts

275 → 9

Compiler

Compiled 5743 to 2665 computations (53.6% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (/.f64 2 y) a)
0.2b	(.f64 9/2 (.f64 t (/.f64 z a)))
4.9b	(/.f64 x (*.f64 (/.f64 2 y) a))
6.2b	(*.f64 t (/.f64 z a))

rewrite153.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

33×	`add-sqr-sqrt_binary64_14422`
32×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436`
23×	`add-cube-cbrt_binary64_14435` `*-un-lft-identity_binary64_14400` `times-frac_binary64_14406`
19×	`associate-l_binary64_14341`
17×	`associate-r_binary64_14340`
13×	`pow1_binary64_14461`
11×	`prod-exp_binary64_14449` `cbrt-unprod_binary64_14433`
7×	`div-exp_binary64_14451` `cbrt-undiv_binary64_14434`
5×	`pow-prod-down_binary64_14471`
4×	`add-log-exp_binary64_14439` `unswap-sqr_binary64_14368`
3×	`associate-r/_binary64_14342` `div-inv_binary64_14397` `-commutative_binary64_14331` `associate-/l*_binary64_14345`
2×	`associate-*l/_binary64_14343`
1×	`frac-2neg_binary64_14411` `clear-num_binary64_14399` `associate-/r/_binary64_14346` `associate-/r*_binary64_14344`

Counts

4 → 109

Calls

4 calls:

7.0ms	(*.f64 t (/.f64 z a))
7.0ms	(.f64 9/2 (.f64 t (/.f64 z a)))
6.0ms	(*.f64 (/.f64 2 y) a)
6.0ms	(/.f64 x (*.f64 (/.f64 2 y) a))

Compiler

Compiled 2344 to 1183 computations (49.5% saved)

series628.0ms (4.7%)

Error

0.0b

Counts

4 → 33

Calls

4 calls:

190.0ms	(/.f64 x (*.f64 (/.f64 2 y) a))
178.0ms	(.f64 9/2 (.f64 t (/.f64 z a)))
149.0ms	(*.f64 t (/.f64 z a))
85.0ms	(*.f64 (/.f64 2 y) a)

Compiler

Compiled 1485 to 1143 computations (23% saved)

simplify308.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

580×	`associate-/r*_binary64_14344`
456×	`associate-/l/_binary64_14347`
454×	`associate-/r/_binary64_14346`
371×	`*-commutative_binary64_14331`
227×	`sqr-pow_binary64_14372`
169×	`associate-l_binary64_14341`
160×	`sub-neg_binary64_14393`
140×	`associate-r_binary64_14340`
122×	`associate-/l*_binary64_14345`
116×	`associate-*l/_binary64_14343`
108×	`associate-*r/_binary64_14342`
97×	`pow-sqr_binary64_14373`
96×	`log-prod_binary64_14486`
94×	`cube-div_binary64_14429`
93×	`log-div_binary64_14487`
84×	`unsub-neg_binary64_14394`
83×	`cube-prod_binary64_14428`
80×	`exp-prod_binary64_14452`
79×	`times-frac_binary64_14406`
69×	`associate-+l-_binary64_14335`
66×	`/-rgt-identity_binary64_14391`
63×	`unswap-sqr_binary64_14368` `swap-sqr_binary64_14367`
57×	`associate-+l+_binary64_14333`
50×	`*-rgt-identity_binary64_14390`
47×	`div-sub_binary64_14405` `*-lft-identity_binary64_14389`
46×	`associate--r+_binary64_14336`
42×	`cancel-sign-sub-inv_binary64_14366` `associate-+r+_binary64_14332`
41×	`neg-mul-1_binary64_14396`
39×	`sub0-neg_binary64_14387`
38×	`associate--l-_binary64_14338`
37×	`associate--l+_binary64_14337`
31×	`unpow3_binary64_14466` `cube-mult_binary64_14430` `neg-sub0_binary64_14395`
28×	`associate-+r-_binary64_14334`
27×	`distribute-rgt-in_binary64_14350`
26×	`+-commutative_binary64_14330`
22×	`distribute-lft-neg-in_binary64_14357`
19×	`associate--r-_binary64_14339`
18×	`distribute-neg-in_binary64_14361`
16×	`distribute-rgt-neg-in_binary64_14358`
14×	`log-rec_binary64_14488` `cube-unmult_binary64_14437`
13×	`distribute-neg-frac_binary64_14364`
12×	`+-lft-identity_binary64_14384`
11×	`prod-exp_binary64_14449`
10×	`distribute-lft-in_binary64_14349`
9×	`div-exp_binary64_14451` `distribute-neg-out_binary64_14362`
8×	`--rgt-identity_binary64_14386`
6×	`+-rgt-identity_binary64_14385` `distribute-lft-out_binary64_14351`
5×	`mul0-lft_binary64_14382`
4×	`log-pow_binary64_14489` `pow-plus_binary64_14463` `exp-sqrt_binary64_14453`
3×	`exp-to-pow_binary64_14462` `rec-exp_binary64_14450` `exp-diff_binary64_14448` `mul0-rgt_binary64_14383` `div0_binary64_14381` `distribute-lft-neg-out_binary64_14359` `distribute-rgt-out_binary64_14353`
2×	`exp-lft-sqr_binary64_14455` `exp-sum_binary64_14446` `remove-double-neg_binary64_14388` `remove-double-div_binary64_14376` `count-2_binary64_14348`
1×	`pow-base-1_binary64_14460` `unpow1_binary64_14458` `1-exp_binary64_14444` `exp-1-e_binary64_14443` `rem-log-exp_binary64_14441` `sqr-neg_binary64_14414` `*-inverses_binary64_14380` `+-inverses_binary64_14379` `rgt-mult-inverse_binary64_14377` `distribute-rgt-neg-out_binary64_14360` `distribute-rgt1-in_binary64_14356` `distribute-rgt-out--_binary64_14354`
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` `unpow0_binary64_14459` `unpow-1_binary64_14457` `exp-lft-cube_binary64_14456` `exp-cbrt_binary64_14454` `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-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` `difference-of-sqr--1_binary64_14371` `difference-of-sqr-1_binary64_14370` `difference-of-squares_binary64_14369` `cancel-sign-sub_binary64_14365` `distribute-frac-neg_binary64_14363` `distribute-lft1-in_binary64_14355` `distribute-lft-out--_binary64_14352`

Counts

142 → 293

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	194	1727
1	462	1466
2	1625	1459
3	3764	1459
4	4559	1459

prune344.0ms (2.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	293	0	293
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	293	9	302

Error

0.0b

Counts

302 → 9

Compiler

Compiled 6120 to 2996 computations (51% saved)

regimes2.4s (17.8%)

Accuracy

Total 1.0b remaining (99.6%)

Threshold costs 1.0b (99.6%)

Compiler

Compiled 15548 to 13884 computations (10.7% saved)

bsearch3.0ms (0%)

Compiler: Compiled 9 to 10 computations (-11.1% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

21×	`*-commutative_binary64_14331`
15×	`sub-neg_binary64_14393` `+-commutative_binary64_14330`
12×	`neg-mul-1_binary64_14396` `neg-sub0_binary64_14395` `distribute-rgt-neg-in_binary64_14358`
10×	`distribute-lft-neg-in_binary64_14357`
4×	`cancel-sign-sub-inv_binary64_14366`
2×	`distribute-neg-frac_binary64_14364` `distribute-lft-neg-out_binary64_14359`
1×	`if-if-or-not_binary64_14658`
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_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` `1-exp_binary64_14444` `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	33	85
1	57	85
2	86	85
3	116	85
4	140	85
5	149	85
6	151	85

Proof

(=> (if real (<= f64 (- f64 (* f64 h0 h1) (* f64 (* f64 h2 9) h3)) -5059425435089154749360474758822821448177815800312593902882235627592631301190133410695098886747490517769904722988932890742027069254638641541611770655779722705072191189588901888) (- f64 (/ f64 h0 (* f64 (/ f64 2 h1) h4)) (* f64 9/2 (* f64 h3 (/ f64 h2 h4)))) (if real (<= f64 (- f64 (* f64 h0 h1) (* f64 (* f64 h2 9) h3)) 46042983948168026680541745881194024714263956782208301320680415085492977338919045781894615669381847675977358758298333813283011933391427891010124850155614009682610487163031330442563871262362224081245052244409977833512258303767462502422139976721964414141102478452537573625853297238149693440) (- f64 (/ f64 (* f64 h0 h1) (* f64 h4 2)) (/ f64 (* f64 h2 (* f64 9 h3)) (* f64 h4 2))) (- f64 (/ f64 h0 (* f64 (/ f64 2 h1) h4)) (* f64 9/2 (* f64 h3 (/ f64 h2 h4)))))))
if-if-or-not_binary64_14658 =>
(if real (or real (<= f64 (- f64 (* f64 h0 h1) (* f64 (* f64 h2 9) h3)) -5059425435089154749360474758822821448177815800312593902882235627592631301190133410695098886747490517769904722988932890742027069254638641541611770655779722705072191189588901888) (not real (<= f64 (- f64 (* f64 h0 h1) (* f64 (* f64 h2 9) h3)) 46042983948168026680541745881194024714263956782208301320680415085492977338919045781894615669381847675977358758298333813283011933391427891010124850155614009682610487163031330442563871262362224081245052244409977833512258303767462502422139976721964414141102478452537573625853297238149693440))) (- f64 (/ f64 h0 (* f64 (/ f64 2 h1) h4)) (* f64 9/2 (* f64 h3 (/ f64 h2 h4)))) (- f64 (/ f64 (* f64 h0 h1) (* f64 h4 2)) (/ f64 (* f64 h2 (* f64 9 h3)) (=> (* f64 h4 2)))))
*-commutative_binary64_14331 =>
(if real (or real (<= f64 (- f64 (* f64 h0 h1) (* f64 (* f64 h2 9) h3)) -5059425435089154749360474758822821448177815800312593902882235627592631301190133410695098886747490517769904722988932890742027069254638641541611770655779722705072191189588901888) (not real (<= f64 (- f64 (* f64 h0 h1) (* f64 (* f64 h2 9) h3)) 46042983948168026680541745881194024714263956782208301320680415085492977338919045781894615669381847675977358758298333813283011933391427891010124850155614009682610487163031330442563871262362224081245052244409977833512258303767462502422139976721964414141102478452537573625853297238149693440))) (- f64 (/ f64 h0 (* f64 (/ f64 2 h1) h4)) (* f64 9/2 (* f64 h3 (/ f64 h2 h4)))) (- f64 (/ f64 (* f64 h0 h1) (=> (* f64 h4 2))) (/ f64 (* f64 h2 (* f64 9 h3)) (* f64 2 h4))))
*-commutative_binary64_14331 =>
(if real (or real (<= f64 (- f64 (* f64 h0 h1) (* f64 (* f64 h2 9) h3)) -5059425435089154749360474758822821448177815800312593902882235627592631301190133410695098886747490517769904722988932890742027069254638641541611770655779722705072191189588901888) (not real (<= f64 (- f64 (* f64 h0 h1) (* f64 (* f64 h2 9) h3)) 46042983948168026680541745881194024714263956782208301320680415085492977338919045781894615669381847675977358758298333813283011933391427891010124850155614009682610487163031330442563871262362224081245052244409977833512258303767462502422139976721964414141102478452537573625853297238149693440))) (- f64 (/ f64 h0 (* f64 (/ f64 2 h1) h4)) (* f64 9/2 (* f64 h3 (/ f64 h2 h4)))) (- f64 (/ f64 (* f64 h0 h1) (* f64 2 h4)) (/ f64 (* f64 h2 (* f64 9 h3)) (* f64 2 h4))))

end0.0ms (0%)

sample2.1s (15.7%)

Algorithm

1×

intervals

Results

338.0ms	8000×	body	128	valid
136.0ms	3205×	body	128	invalid

Compiler

Compiled 1353 to 1186 computations (12.3% saved)

Details

analyze1.1s (8.2%)

sample35.0ms (0.3%)

simplify502.0ms (3.7%)

prune8.0ms (0.1%)

localize10.0ms (0.1%)

rewrite102.0ms (0.8%)

series1.2s (8.6%)

simplify228.0ms (1.7%)

prune369.0ms (2.7%)

localize13.0ms (0.1%)

rewrite146.0ms (1.1%)

series1.1s (8.5%)

simplify225.0ms (1.7%)

prune457.0ms (3.4%)

localize12.0ms (0.1%)

rewrite143.0ms (1.1%)

series1.3s (9.4%)

simplify233.0ms (1.7%)

prune319.0ms (2.4%)

localize12.0ms (0.1%)

rewrite153.0ms (1.1%)

series628.0ms (4.7%)

simplify308.0ms (2.3%)

prune344.0ms (2.6%)

regimes2.4s (17.8%)

bsearch3.0ms (0%)

simplify12.0ms (0.1%)

end0.0ms (0%)

sample2.1s (15.7%)

Profiling