Details

analyze35.0ms (1.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	6.2%	93.8%	0
0%	6.2%	93.8%	1
0%	6.2%	93.8%	2
1.6%	3.1%	95.3%	3
1.6%	3.1%	95.3%	4
2.3%	1.6%	96.1%	5
2.3%	1.6%	96.1%	6
2.7%	0.8%	96.5%	7
2.7%	0.8%	96.5%	8
2.9%	0.4%	96.7%	9
2.9%	0.4%	96.7%	10
3%	0.2%	96.8%	11
3%	0.2%	96.8%	12
3.1%	0.1%	96.8%	13
3.1%	0.1%	96.8%	14

Compiler

Compiled 18 to 11 computations (38.9% saved)

sample26.0ms (0.8%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
5.0ms	256×	pre	128	true
0.0ms	5×	pre	128	false

Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify166.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

624×	`neg-mul-1_binary64_756`
414×	`sub-neg_binary64_753`
381×	`distribute-frac-neg_binary64_723`
364×	`div-sub_binary64_765`
297×	`unsub-neg_binary64_754`
254×	`*-commutative_binary64_691`
253×	`times-frac_binary64_766`
204×	`neg-sub0_binary64_755`
190×	`cancel-sign-sub-inv_binary64_726` `distribute-rgt-in_binary64_710`
178×	`associate-/l*_binary64_705`
174×	`associate-/r/_binary64_706`
173×	`associate-*l/_binary64_703`
171×	`distribute-lft-in_binary64_709`
143×	`distribute-neg-frac_binary64_724`
137×	`cube-prod_binary64_788`
134×	`distribute-neg-out_binary64_722`
131×	`associate-/l/_binary64_707`
114×	`associate-l_binary64_701`
103×	`associate-*r/_binary64_702`
97×	`distribute-lft-neg-out_binary64_719`
96×	`distribute-rgt-neg-out_binary64_720`
91×	`distribute-rgt-neg-in_binary64_718` `associate-+l-_binary64_695`
89×	`distribute-rgt-out_binary64_713`
83×	`associate--r+_binary64_696`
79×	`associate-/r*_binary64_704`
78×	`associate-+l+_binary64_693`
70×	`associate-r_binary64_700`
66×	`distribute-lft-neg-in_binary64_717`
63×	`cube-div_binary64_789`
62×	`div0_binary64_741`
60×	`swap-sqr_binary64_727`
57×	`associate-+r+_binary64_692`
55×	`associate--l+_binary64_697`
50×	`remove-double-neg_binary64_748`
48×	`distribute-rgt-out--_binary64_714`
45×	`sqr-neg_binary64_774` `+-commutative_binary64_690`
43×	`sub0-neg_binary64_747`
38×	`associate-+r-_binary64_694`
34×	`mul0-rgt_binary64_743`
33×	`mul0-lft_binary64_742`
31×	`cube-neg_binary64_787`
29×	`unpow3_binary64_826` `cube-mult_binary64_790`
27×	`distribute-neg-in_binary64_721`
24×	`/-rgt-identity_binary64_751`
21×	`associate--r-_binary64_699`
19×	`associate--l-_binary64_698`
16×	`distribute-lft-out_binary64_711`
13×	`*-rgt-identity_binary64_750`
11×	`+-lft-identity_binary64_744` `cancel-sign-sub_binary64_725`
10×	`--rgt-identity_binary64_746` `unswap-sqr_binary64_728`
8×	`mul-1-neg_binary64_752`
7×	`*-lft-identity_binary64_749` `+-rgt-identity_binary64_745` `sqr-pow_binary64_732`
6×	`distribute-lft-out--_binary64_712`
5×	`distribute-rgt1-in_binary64_716`
4×	`remove-double-div_binary64_736`
3×	`+-inverses_binary64_739`
2×	`cube-unmult_binary64_797` `*-inverses_binary64_740` `lft-mult-inverse_binary64_738` `difference-of-sqr--1_binary64_731` `difference-of-squares_binary64_729` `distribute-lft1-in_binary64_715`
1×	`unpow2_binary64_825` `pow-plus_binary64_823` `1-exp_binary64_804` `difference-of-sqr-1_binary64_730`
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_1023` `erf-erfc_binary64_1022` `erf-odd_binary64_1021` `if-if-and-not_binary64_1020` `if-if-and_binary64_1019` `if-if-or-not_binary64_1018` `if-if-or_binary64_1017` `if-not_binary64_1016` `if-same_binary64_1015` `if-false_binary64_1014` `if-true_binary64_1013` `not-gte_binary64_1012` `not-lte_binary64_1011` `not-gt_binary64_1010` `not-lt_binary64_1009` `gte-same_binary64_1008` `lte-same_binary64_1007` `gt-same_binary64_1006` `lt-same_binary64_1005` `sinh---cosh_binary64_952` `sinh-+-cosh_binary64_951` `sinh-cosh_binary64_950` `tanh-def-c_binary64_949` `tanh-def-b_binary64_948` `tanh-def-a_binary64_947` `cosh-def_binary64_946` `sinh-def_binary64_945` `tan-neg_binary64_892` `cos-neg_binary64_891` `sin-neg_binary64_890` `tan-0_binary64_889` `cos-0_binary64_888` `sin-0_binary64_887` `hang-m-tan_binary64_886` `hang-p-tan_binary64_885` `hang-m0-tan_binary64_884` `hang-p0-tan_binary64_883` `hang-0m-tan_binary64_882` `hang-0p-tan_binary64_881` `tan-+PI/2_binary64_880` `tan-+PI_binary64_879` `tan-PI_binary64_878` `tan-PI/3_binary64_877` `tan-PI/4_binary64_876` `tan-PI/6_binary64_875` `cos-+PI/2_binary64_874` `cos-+PI_binary64_873` `cos-PI_binary64_872` `cos-PI/2_binary64_871` `cos-PI/3_binary64_870` `cos-PI/4_binary64_869` `cos-PI/6_binary64_868` `sin-+PI/2_binary64_867` `sin-+PI_binary64_866` `sin-PI_binary64_865` `sin-PI/2_binary64_864` `sin-PI/3_binary64_863` `sin-PI/4_binary64_862` `sin-PI/6_binary64_861` `sub-1-sin_binary64_860` `sub-1-cos_binary64_859` `-1-add-sin_binary64_858` `-1-add-cos_binary64_857` `1-sub-sin_binary64_856` `1-sub-cos_binary64_855` `cos-sin-sum_binary64_854` `log-E_binary64_850` `log-pow_binary64_849` `log-rec_binary64_848` `log-div_binary64_847` `log-prod_binary64_846` `pow-base-0_binary64_844` `unpow1/3_binary64_827` `unpow1/2_binary64_824` `exp-to-pow_binary64_822` `pow-base-1_binary64_820` `unpow0_binary64_819` `unpow1_binary64_818` `unpow-1_binary64_817` `exp-lft-cube_binary64_816` `exp-lft-sqr_binary64_815` `exp-cbrt_binary64_814` `exp-sqrt_binary64_813` `exp-prod_binary64_812` `div-exp_binary64_811` `rec-exp_binary64_810` `prod-exp_binary64_809` `exp-diff_binary64_808` `exp-neg_binary64_807` `exp-sum_binary64_806` `e-exp-1_binary64_805` `exp-1-e_binary64_803` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `rem-3cbrt-rft_binary64_786` `rem-3cbrt-lft_binary64_785` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `rem-sqrt-square_binary64_773` `rem-square-sqrt_binary64_772` `rgt-mult-inverse_binary64_737` `pow-sqr_binary64_733` `count-2_binary64_708`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	22	17
2	54	17
3	115	17
4	245	17
5	646	17
6	1944	17
7	3229	17
8	4346	17
9	4836	17

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

13.3b

Counts

2 → 1

Compiler

Compiled 24 to 17 computations (29.2% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 a a) (.f64 b b))
0.0b	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
12.9b	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))

rewrite63.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

8×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
7×	`add-sqr-sqrt_binary64_782`
6×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
5×	`add-log-exp_binary64_799`
4×	`pow1_binary64_821` `times-frac_binary64_766` `associate-/l*_binary64_705`
3×	`difference-of-squares_binary64_729` `sqrt-prod_binary64_776`
2×	`div-exp_binary64_811` `cbrt-undiv_binary64_794` `flip3--_binary64_764` `associate-/l/_binary64_707` `flip--_binary64_735`
1×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759` `div-inv_binary64_757` `associate-/r*_binary64_704` `pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773` `diff-log_binary64_852` `sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726`

Counts

3 → 52

Calls

3 calls:

8.0ms	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
4.0ms	(-.f64 (.f64 a a) (.f64 b b))
1.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Compiler

Compiled 1164 to 244 computations (79% saved)

series365.0ms (11.3%)

Error

0.5b

Counts

3 → 30

Calls

3 calls:

179.0ms	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
92.0ms	(-.f64 (.f64 a a) (.f64 b b))
73.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Compiler

Compiled 870 to 747 computations (14.1% saved)

simplify81.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

390×	`times-frac_binary64_766`
377×	`unswap-sqr_binary64_728`
279×	`div-sub_binary64_765`
260×	`associate-l_binary64_701`
249×	`associate-/l*_binary64_705`
225×	`associate-r_binary64_700`
214×	`distribute-rgt-in_binary64_710`
206×	`distribute-lft-in_binary64_709`
145×	`associate-/r*_binary64_704`
143×	`associate-*l/_binary64_703`
106×	`associate-*r/_binary64_702`
92×	`exp-prod_binary64_812`
74×	`sub-neg_binary64_753`
73×	`*-commutative_binary64_691`
72×	`unsub-neg_binary64_754`
62×	`sqr-pow_binary64_732`
49×	`exp-sum_binary64_806`
48×	`associate-/l/_binary64_707`
46×	`difference-of-squares_binary64_729`
44×	`neg-sub0_binary64_755`
40×	`cube-prod_binary64_788`
38×	`cancel-sign-sub-inv_binary64_726`
37×	`associate-/r/_binary64_706`
34×	`neg-mul-1_binary64_756`
29×	`log-prod_binary64_846`
28×	`distribute-rgt-neg-in_binary64_718`
27×	`log-div_binary64_847` `+-commutative_binary64_690`
23×	`cube-div_binary64_789` `distribute-lft-neg-in_binary64_717`
20×	`*-rgt-identity_binary64_750`
19×	`*-lft-identity_binary64_749`
15×	`exp-diff_binary64_808`
14×	`distribute-lft-neg-out_binary64_719`
12×	`unpow3_binary64_826`
11×	`cube-unmult_binary64_797` `pow-sqr_binary64_733` `associate-+l+_binary64_693`
10×	`mul0-rgt_binary64_743` `mul0-lft_binary64_742` `distribute-neg-in_binary64_721`
9×	`distribute-rgt-neg-out_binary64_720`
7×	`cube-mult_binary64_790` `distribute-neg-frac_binary64_724` `distribute-rgt-out_binary64_713` `associate-+l-_binary64_695`
6×	`pow-plus_binary64_823` `mul-1-neg_binary64_752` `sub0-neg_binary64_747` `associate--r+_binary64_696`
5×	`rem-sqrt-square_binary64_773` `+-rgt-identity_binary64_745` `associate-+r-_binary64_694` `associate-+r+_binary64_692`
4×	`remove-double-neg_binary64_748` `swap-sqr_binary64_727`
3×	`div0_binary64_741` `distribute-lft-out_binary64_711`
2×	`log-pow_binary64_849` `unpow2_binary64_825` `unpow1/2_binary64_824` `unpow1_binary64_818` `exp-neg_binary64_807` `sqr-neg_binary64_774` `*-inverses_binary64_740` `associate--r-_binary64_699` `associate--l+_binary64_697`
1×	`div-exp_binary64_811` `1-exp_binary64_804` `exp-1-e_binary64_803` `cube-neg_binary64_787` `rem-square-sqrt_binary64_772` `/-rgt-identity_binary64_751` `difference-of-sqr-1_binary64_730` `count-2_binary64_708`
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_1023` `erf-erfc_binary64_1022` `erf-odd_binary64_1021` `if-if-and-not_binary64_1020` `if-if-and_binary64_1019` `if-if-or-not_binary64_1018` `if-if-or_binary64_1017` `if-not_binary64_1016` `if-same_binary64_1015` `if-false_binary64_1014` `if-true_binary64_1013` `not-gte_binary64_1012` `not-lte_binary64_1011` `not-gt_binary64_1010` `not-lt_binary64_1009` `gte-same_binary64_1008` `lte-same_binary64_1007` `gt-same_binary64_1006` `lt-same_binary64_1005` `sinh---cosh_binary64_952` `sinh-+-cosh_binary64_951` `sinh-cosh_binary64_950` `tanh-def-c_binary64_949` `tanh-def-b_binary64_948` `tanh-def-a_binary64_947` `cosh-def_binary64_946` `sinh-def_binary64_945` `tan-neg_binary64_892` `cos-neg_binary64_891` `sin-neg_binary64_890` `tan-0_binary64_889` `cos-0_binary64_888` `sin-0_binary64_887` `hang-m-tan_binary64_886` `hang-p-tan_binary64_885` `hang-m0-tan_binary64_884` `hang-p0-tan_binary64_883` `hang-0m-tan_binary64_882` `hang-0p-tan_binary64_881` `tan-+PI/2_binary64_880` `tan-+PI_binary64_879` `tan-PI_binary64_878` `tan-PI/3_binary64_877` `tan-PI/4_binary64_876` `tan-PI/6_binary64_875` `cos-+PI/2_binary64_874` `cos-+PI_binary64_873` `cos-PI_binary64_872` `cos-PI/2_binary64_871` `cos-PI/3_binary64_870` `cos-PI/4_binary64_869` `cos-PI/6_binary64_868` `sin-+PI/2_binary64_867` `sin-+PI_binary64_866` `sin-PI_binary64_865` `sin-PI/2_binary64_864` `sin-PI/3_binary64_863` `sin-PI/4_binary64_862` `sin-PI/6_binary64_861` `sub-1-sin_binary64_860` `sub-1-cos_binary64_859` `-1-add-sin_binary64_858` `-1-add-cos_binary64_857` `1-sub-sin_binary64_856` `1-sub-cos_binary64_855` `cos-sin-sum_binary64_854` `log-E_binary64_850` `log-rec_binary64_848` `pow-base-0_binary64_844` `unpow1/3_binary64_827` `exp-to-pow_binary64_822` `pow-base-1_binary64_820` `unpow0_binary64_819` `unpow-1_binary64_817` `exp-lft-cube_binary64_816` `exp-lft-sqr_binary64_815` `exp-cbrt_binary64_814` `exp-sqrt_binary64_813` `rec-exp_binary64_810` `prod-exp_binary64_809` `e-exp-1_binary64_805` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `rem-3cbrt-rft_binary64_786` `rem-3cbrt-lft_binary64_785` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `--rgt-identity_binary64_746` `+-lft-identity_binary64_744` `+-inverses_binary64_739` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `remove-double-div_binary64_736` `difference-of-sqr--1_binary64_731` `cancel-sign-sub_binary64_725` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `distribute-rgt-out--_binary64_714` `distribute-lft-out--_binary64_712` `associate--l-_binary64_698`

Counts

82 → 91

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	97	1346
1	225	1203
2	660	1189
3	3365	1189
4	4937	1189

prune79.0ms (2.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	88	3	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	3	92

Error

Counts

92 → 3

Compiler

Compiled 1806 to 588 computations (67.4% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))
0.0b	(/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)
0.1b	(*.f64 b (/.f64 b a))

rewrite74.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

26×	`add-sqr-sqrt_binary64_782`
20×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
19×	`times-frac_binary64_766`
13×	`associate-r_binary64_700`
10×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
6×	`pow1_binary64_821`
3×	`add-log-exp_binary64_799` `associate-l_binary64_701` `associate-/l_binary64_705` `associate-/r_binary64_704` `sqrt-prod_binary64_776`
2×	`div-exp_binary64_811` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `cbrt-undiv_binary64_794` `unswap-sqr_binary64_728` `div-inv_binary64_757` `associate-/l/_binary64_707`
1×	`pow-prod-down_binary64_831` `associate-r/_binary64_702` `-commutative_binary64_691` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759` `flip3--_binary64_764` `flip--_binary64_735` `pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773`

Counts

3 → 75

Calls

3 calls:

9.0ms	(*.f64 b (/.f64 b a))
5.0ms	(/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)
1.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))

Compiler

Compiled 1476 to 430 computations (70.9% saved)

series304.0ms (9.4%)

Error

Counts

3 → 24

Calls

3 calls:

149.0ms	(/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)
70.0ms	(*.f64 b (/.f64 b a))
66.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))

Compiler

Compiled 678 to 572 computations (15.6% saved)

simplify112.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

344×	`distribute-rgt-in_binary64_710`
310×	`times-frac_binary64_766`
309×	`associate-/l*_binary64_705`
275×	`associate-l_binary64_701`
246×	`associate-*l/_binary64_703`
239×	`log-prod_binary64_846`
235×	`unswap-sqr_binary64_728`
219×	`associate-r_binary64_700`
212×	`exp-prod_binary64_812`
199×	`associate-*r/_binary64_702`
163×	`associate-/l/_binary64_707`
153×	`div-sub_binary64_765`
138×	`associate-/r*_binary64_704`
119×	`cancel-sign-sub-inv_binary64_726`
116×	`log-div_binary64_847`
97×	`associate-/r/_binary64_706`
94×	`distribute-rgt-neg-in_binary64_718`
90×	`*-commutative_binary64_691`
83×	`distribute-rgt-neg-out_binary64_720`
81×	`distribute-neg-frac_binary64_724`
77×	`distribute-lft-neg-out_binary64_719`
72×	`distribute-lft-neg-in_binary64_717`
62×	`swap-sqr_binary64_727` `distribute-lft-in_binary64_709`
60×	`cube-prod_binary64_788`
57×	`distribute-rgt-out_binary64_713`
51×	`sub-neg_binary64_753`
44×	`*-lft-identity_binary64_749`
42×	`sqr-pow_binary64_732`
37×	`*-rgt-identity_binary64_750`
36×	`cube-div_binary64_789`
33×	`distribute-lft-out_binary64_711`
31×	`unpow3_binary64_826`
29×	`neg-sub0_binary64_755` `distribute-frac-neg_binary64_723`
28×	`/-rgt-identity_binary64_751`
25×	`neg-mul-1_binary64_756`
20×	`+-commutative_binary64_690`
18×	`log-rec_binary64_848`
14×	`pow-plus_binary64_823` `unsub-neg_binary64_754`
13×	`associate-+l+_binary64_693`
12×	`associate-+r+_binary64_692`
10×	`log-pow_binary64_849` `distribute-neg-in_binary64_721`
8×	`remove-double-div_binary64_736` `pow-sqr_binary64_733`
7×	`cube-unmult_binary64_797`
6×	`rem-sqrt-square_binary64_773` `associate-+l-_binary64_695` `associate-+r-_binary64_694`
5×	`exp-diff_binary64_808`
4×	`unpow1/2_binary64_824` `exp-sum_binary64_806` `remove-double-neg_binary64_748` `+-rgt-identity_binary64_745`
3×	`sub0-neg_binary64_747` `associate--l+_binary64_697` `associate--r+_binary64_696`
2×	`unpow2_binary64_825` `unpow1_binary64_818` `rem-square-sqrt_binary64_772` `mul-1-neg_binary64_752` `*-inverses_binary64_740` `difference-of-squares_binary64_729` `distribute-rgt1-in_binary64_716` `distribute-lft-out--_binary64_712` `associate--r-_binary64_699` `associate--l-_binary64_698`
1×	`1-exp_binary64_804` `exp-1-e_binary64_803` `cube-mult_binary64_790` `cube-neg_binary64_787` `sqr-neg_binary64_774` `div0_binary64_741` `difference-of-sqr-1_binary64_730` `distribute-rgt-out--_binary64_714` `count-2_binary64_708`
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_1023` `erf-erfc_binary64_1022` `erf-odd_binary64_1021` `if-if-and-not_binary64_1020` `if-if-and_binary64_1019` `if-if-or-not_binary64_1018` `if-if-or_binary64_1017` `if-not_binary64_1016` `if-same_binary64_1015` `if-false_binary64_1014` `if-true_binary64_1013` `not-gte_binary64_1012` `not-lte_binary64_1011` `not-gt_binary64_1010` `not-lt_binary64_1009` `gte-same_binary64_1008` `lte-same_binary64_1007` `gt-same_binary64_1006` `lt-same_binary64_1005` `sinh---cosh_binary64_952` `sinh-+-cosh_binary64_951` `sinh-cosh_binary64_950` `tanh-def-c_binary64_949` `tanh-def-b_binary64_948` `tanh-def-a_binary64_947` `cosh-def_binary64_946` `sinh-def_binary64_945` `tan-neg_binary64_892` `cos-neg_binary64_891` `sin-neg_binary64_890` `tan-0_binary64_889` `cos-0_binary64_888` `sin-0_binary64_887` `hang-m-tan_binary64_886` `hang-p-tan_binary64_885` `hang-m0-tan_binary64_884` `hang-p0-tan_binary64_883` `hang-0m-tan_binary64_882` `hang-0p-tan_binary64_881` `tan-+PI/2_binary64_880` `tan-+PI_binary64_879` `tan-PI_binary64_878` `tan-PI/3_binary64_877` `tan-PI/4_binary64_876` `tan-PI/6_binary64_875` `cos-+PI/2_binary64_874` `cos-+PI_binary64_873` `cos-PI_binary64_872` `cos-PI/2_binary64_871` `cos-PI/3_binary64_870` `cos-PI/4_binary64_869` `cos-PI/6_binary64_868` `sin-+PI/2_binary64_867` `sin-+PI_binary64_866` `sin-PI_binary64_865` `sin-PI/2_binary64_864` `sin-PI/3_binary64_863` `sin-PI/4_binary64_862` `sin-PI/6_binary64_861` `sub-1-sin_binary64_860` `sub-1-cos_binary64_859` `-1-add-sin_binary64_858` `-1-add-cos_binary64_857` `1-sub-sin_binary64_856` `1-sub-cos_binary64_855` `cos-sin-sum_binary64_854` `log-E_binary64_850` `pow-base-0_binary64_844` `unpow1/3_binary64_827` `exp-to-pow_binary64_822` `pow-base-1_binary64_820` `unpow0_binary64_819` `unpow-1_binary64_817` `exp-lft-cube_binary64_816` `exp-lft-sqr_binary64_815` `exp-cbrt_binary64_814` `exp-sqrt_binary64_813` `div-exp_binary64_811` `rec-exp_binary64_810` `prod-exp_binary64_809` `exp-neg_binary64_807` `e-exp-1_binary64_805` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `rem-3cbrt-rft_binary64_786` `rem-3cbrt-lft_binary64_785` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `--rgt-identity_binary64_746` `+-lft-identity_binary64_744` `mul0-rgt_binary64_743` `mul0-lft_binary64_742` `+-inverses_binary64_739` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `difference-of-sqr--1_binary64_731` `cancel-sign-sub_binary64_725` `distribute-neg-out_binary64_722` `distribute-lft1-in_binary64_715`

Counts

99 → 178

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	135	1587
1	296	1453
2	843	1442
3	2623	1432
4	4589	1432
5	5079	1432

prune126.0ms (3.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	177	1	178
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	179	2	181

Error

Counts

181 → 2

Compiler

Compiled 3662 to 865 computations (76.4% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (*.f64 b (/.f64 b a)) a))))
0.1b	(*.f64 b (/.f64 b a))
14.0b	(/.f64 (*.f64 b (/.f64 b a)) a)

rewrite73.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`add-sqr-sqrt_binary64_782`
17×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
14×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
13×	`times-frac_binary64_766` `associate-r_binary64_700`
6×	`pow1_binary64_821`
5×	`div-exp_binary64_811` `cbrt-undiv_binary64_794`
4×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793`
3×	`add-log-exp_binary64_799` `associate-/r_binary64_704` `associate-l*_binary64_701` `sqrt-prod_binary64_776`
2×	`div-inv_binary64_757` `associate-*r/_binary64_702` `unswap-sqr_binary64_728`
1×	`frac-2neg_binary64_771` `clear-num_binary64_759` `associate-/l/_binary64_707` `associate-/l_binary64_705` `pow-prod-down_binary64_831` `-commutative_binary64_691` `pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773`

Counts

3 → 69

Calls

3 calls:

7.0ms	(*.f64 b (/.f64 b a))
6.0ms	(/.f64 (*.f64 b (/.f64 b a)) a)
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (*.f64 b (/.f64 b a)) a))))

Compiler

Compiled 1243 to 543 computations (56.3% saved)

series224.0ms (6.9%)

Error

Counts

3 → 18

Calls

3 calls:

82.0ms	(/.f64 (*.f64 b (/.f64 b a)) a)
66.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (*.f64 b (/.f64 b a)) a))))
62.0ms	(*.f64 b (/.f64 b a))

Compiler

Compiled 594 to 542 computations (8.8% saved)

simplify129.0ms (4%)

Algorithm

1×	egg-herbie

Rules

489×	`associate-/l/_binary64_707`
393×	`associate-*l/_binary64_703`
299×	`associate-l_binary64_701`
285×	`unswap-sqr_binary64_728`
266×	`associate-*r/_binary64_702`
258×	`associate-/r/_binary64_706`
240×	`associate-/r*_binary64_704`
229×	`log-prod_binary64_846`
224×	`associate-r_binary64_700`
197×	`sub-neg_binary64_753`
166×	`cancel-sign-sub-inv_binary64_726`
139×	`log-div_binary64_847`
129×	`cube-div_binary64_789`
116×	`unsub-neg_binary64_754` `sqr-pow_binary64_732`
110×	`cube-prod_binary64_788`
108×	`associate-/l*_binary64_705`
101×	`swap-sqr_binary64_727`
84×	`*-commutative_binary64_691`
81×	`associate--l+_binary64_697`
79×	`distribute-neg-in_binary64_721`
74×	`times-frac_binary64_766`
71×	`associate-+l+_binary64_693`
65×	`distribute-neg-frac_binary64_724`
62×	`associate-+l-_binary64_695`
58×	`unpow3_binary64_826` `associate--l-_binary64_698`
55×	`*-lft-identity_binary64_749`
51×	`cube-mult_binary64_790`
46×	`neg-mul-1_binary64_756`
45×	`*-rgt-identity_binary64_750`
44×	`exp-prod_binary64_812`
43×	`neg-sub0_binary64_755`
38×	`associate-+r+_binary64_692`
37×	`log-pow_binary64_849`
35×	`div-sub_binary64_765`
31×	`distribute-rgt-neg-in_binary64_718` `associate--r+_binary64_696`
28×	`pow-plus_binary64_823` `distribute-neg-out_binary64_722` `associate-+r-_binary64_694`
26×	`pow-sqr_binary64_733` `distribute-rgt-in_binary64_710`
24×	`distribute-lft-neg-in_binary64_717` `distribute-lft-in_binary64_709`
23×	`log-rec_binary64_848`
22×	`associate--r-_binary64_699`
18×	`/-rgt-identity_binary64_751` `+-commutative_binary64_690`
12×	`cube-unmult_binary64_797`
9×	`--rgt-identity_binary64_746`
8×	`rem-sqrt-square_binary64_773`
7×	`unpow1/2_binary64_824`
6×	`div0_binary64_741` `count-2_binary64_708`
5×	`+-rgt-identity_binary64_745`
4×	`unpow2_binary64_825` `remove-double-div_binary64_736` `distribute-frac-neg_binary64_723` `distribute-rgt-neg-out_binary64_720` `distribute-lft-neg-out_binary64_719`
3×	`unpow1_binary64_818` `remove-double-neg_binary64_748` `sub0-neg_binary64_747` `+-lft-identity_binary64_744` `mul0-rgt_binary64_743` `mul0-lft_binary64_742`
2×	`rem-square-sqrt_binary64_772` `+-inverses_binary64_739` `distribute-rgt-out--_binary64_714` `distribute-lft-out--_binary64_712` `distribute-lft-out_binary64_711`
1×	`exp-diff_binary64_808` `exp-sum_binary64_806` `1-exp_binary64_804` `exp-1-e_binary64_803` `difference-of-sqr-1_binary64_730`
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_1023` `erf-erfc_binary64_1022` `erf-odd_binary64_1021` `if-if-and-not_binary64_1020` `if-if-and_binary64_1019` `if-if-or-not_binary64_1018` `if-if-or_binary64_1017` `if-not_binary64_1016` `if-same_binary64_1015` `if-false_binary64_1014` `if-true_binary64_1013` `not-gte_binary64_1012` `not-lte_binary64_1011` `not-gt_binary64_1010` `not-lt_binary64_1009` `gte-same_binary64_1008` `lte-same_binary64_1007` `gt-same_binary64_1006` `lt-same_binary64_1005` `sinh---cosh_binary64_952` `sinh-+-cosh_binary64_951` `sinh-cosh_binary64_950` `tanh-def-c_binary64_949` `tanh-def-b_binary64_948` `tanh-def-a_binary64_947` `cosh-def_binary64_946` `sinh-def_binary64_945` `tan-neg_binary64_892` `cos-neg_binary64_891` `sin-neg_binary64_890` `tan-0_binary64_889` `cos-0_binary64_888` `sin-0_binary64_887` `hang-m-tan_binary64_886` `hang-p-tan_binary64_885` `hang-m0-tan_binary64_884` `hang-p0-tan_binary64_883` `hang-0m-tan_binary64_882` `hang-0p-tan_binary64_881` `tan-+PI/2_binary64_880` `tan-+PI_binary64_879` `tan-PI_binary64_878` `tan-PI/3_binary64_877` `tan-PI/4_binary64_876` `tan-PI/6_binary64_875` `cos-+PI/2_binary64_874` `cos-+PI_binary64_873` `cos-PI_binary64_872` `cos-PI/2_binary64_871` `cos-PI/3_binary64_870` `cos-PI/4_binary64_869` `cos-PI/6_binary64_868` `sin-+PI/2_binary64_867` `sin-+PI_binary64_866` `sin-PI_binary64_865` `sin-PI/2_binary64_864` `sin-PI/3_binary64_863` `sin-PI/4_binary64_862` `sin-PI/6_binary64_861` `sub-1-sin_binary64_860` `sub-1-cos_binary64_859` `-1-add-sin_binary64_858` `-1-add-cos_binary64_857` `1-sub-sin_binary64_856` `1-sub-cos_binary64_855` `cos-sin-sum_binary64_854` `log-E_binary64_850` `pow-base-0_binary64_844` `unpow1/3_binary64_827` `exp-to-pow_binary64_822` `pow-base-1_binary64_820` `unpow0_binary64_819` `unpow-1_binary64_817` `exp-lft-cube_binary64_816` `exp-lft-sqr_binary64_815` `exp-cbrt_binary64_814` `exp-sqrt_binary64_813` `div-exp_binary64_811` `rec-exp_binary64_810` `prod-exp_binary64_809` `exp-neg_binary64_807` `e-exp-1_binary64_805` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `cube-neg_binary64_787` `rem-3cbrt-rft_binary64_786` `rem-3cbrt-lft_binary64_785` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `sqr-neg_binary64_774` `mul-1-neg_binary64_752` `*-inverses_binary64_740` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `difference-of-sqr--1_binary64_731` `difference-of-squares_binary64_729` `cancel-sign-sub_binary64_725` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `distribute-rgt-out_binary64_713`

Counts

87 → 202

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	114	1200
1	259	1045
2	892	1009
3	2504	997
4	3404	910
5	4749	910
6	4982	910
7	4951	910

prune174.0ms (5.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	202	0	202
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	202	2	204

Error

Counts

204 → 2

Compiler

Compiled 3893 to 1744 computations (55.2% saved)

regimes192.0ms (5.9%)

Accuracy

Total 0.0b remaining (85.4%)

Threshold costs 0.0b (85.4%)

Compiler

Compiled 1507 to 1171 computations (22.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`sub-neg_binary64_753` `+-commutative_binary64_690`
1×	`1-exp_binary64_804` `neg-mul-1_binary64_756` `neg-sub0_binary64_755` `*-commutative_binary64_691`
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_1020` `if-if-and_binary64_1019` `if-if-or-not_binary64_1018` `if-if-or_binary64_1017` `if-not_binary64_1016` `if-same_binary64_1015` `if-false_binary64_1014` `if-true_binary64_1013` `tan-0_binary64_889` `cos-0_binary64_888` `sin-0_binary64_887` `unpow1_binary64_818` `e-exp-1_binary64_805` `exp-1-e_binary64_803` `exp-0_binary64_802` `sqr-abs_binary64_775` `sqr-neg_binary64_774` `unsub-neg_binary64_754` `mul-1-neg_binary64_752` `/-rgt-identity_binary64_751` `-rgt-identity_binary64_750` `-lft-identity_binary64_749` `remove-double-neg_binary64_748` `sub0-neg_binary64_747` `--rgt-identity_binary64_746` `+-rgt-identity_binary64_745` `+-lft-identity_binary64_744` `cancel-sign-sub-inv_binary64_726` `cancel-sign-sub_binary64_725` `distribute-neg-frac_binary64_724` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-neg-in_binary64_721` `distribute-rgt-neg-out_binary64_720` `distribute-lft-neg-out_binary64_719` `distribute-rgt-neg-in_binary64_718` `distribute-lft-neg-in_binary64_717`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	14	14
2	18	14
3	20	14
4	21	14
5	20	14

end0.0ms (0%)

sample985.0ms (30.4%)

Algorithm

1×

intervals

Results

281.0ms	8000×	body	128	valid
158.0ms	8000×	pre	128	true
2.0ms	133×	pre	128	false

Compiler

Compiled 191 to 150 computations (21.5% saved)

Details

analyze35.0ms (1.1%)

sample26.0ms (0.8%)

simplify166.0ms (5.1%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

rewrite63.0ms (2%)

series365.0ms (11.3%)

simplify81.0ms (2.5%)

prune79.0ms (2.4%)

localize8.0ms (0.3%)

rewrite74.0ms (2.3%)

series304.0ms (9.4%)

simplify112.0ms (3.5%)

prune126.0ms (3.9%)

localize8.0ms (0.2%)

rewrite73.0ms (2.2%)

series224.0ms (6.9%)

simplify129.0ms (4%)

prune174.0ms (5.4%)

regimes192.0ms (5.9%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample985.0ms (30.4%)

Profiling