Details

analyze535.0ms (4.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

645×	`distribute-neg-in_binary64_721`
626×	`cancel-sign-sub-inv_binary64_726`
499×	`+-commutative_binary64_690`
493×	`*-commutative_binary64_691`
423×	`associate-+l-_binary64_695`
387×	`distribute-lft-out--_binary64_712`
374×	`neg-mul-1_binary64_756`
340×	`unsub-neg_binary64_754`
319×	`associate--r+_binary64_696`
294×	`associate-+l+_binary64_693`
244×	`neg-sub0_binary64_755`
224×	`associate--l+_binary64_697`
219×	`sub-neg_binary64_753`
218×	`associate-+r+_binary64_692`
210×	`sub0-neg_binary64_747`
192×	`cancel-sign-sub_binary64_725`
190×	`associate-+r-_binary64_694`
153×	`associate--r-_binary64_699`
128×	`distribute-rgt-neg-in_binary64_718`
126×	`distribute-lft-neg-in_binary64_717`
119×	`remove-double-neg_binary64_748`
105×	`+-rgt-identity_binary64_745`
98×	`distribute-rgt-neg-out_binary64_720`
46×	`+-lft-identity_binary64_744`
40×	`*-lft-identity_binary64_749` `distribute-lft-neg-out_binary64_719`
39×	`distribute-neg-out_binary64_722`
36×	`distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709`
35×	`associate--l-_binary64_698`
33×	`--rgt-identity_binary64_746`
32×	`distribute-rgt-out_binary64_713`
20×	`log-prod_binary64_846`
18×	`distribute-rgt-out--_binary64_714`
8×	`mul-1-neg_binary64_752`
1×	`1-exp_binary64_804`
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` `pow-base-0_binary64_844` `unpow1/3_binary64_827` `unpow3_binary64_826` `unpow2_binary64_825` `unpow1/2_binary64_824` `pow-plus_binary64_823` `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` `cube-unmult_binary64_797` `cube-mult_binary64_790` `cube-div_binary64_789` `cube-prod_binary64_788` `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` `rem-sqrt-square_binary64_773` `rem-square-sqrt_binary64_772` `times-frac_binary64_766` `div-sub_binary64_765` `/-rgt-identity_binary64_751` `-rgt-identity_binary64_750` `mul0-rgt_binary64_743` `mul0-lft_binary64_742` `div0_binary64_741` `-inverses_binary64_740` `+-inverses_binary64_739` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `remove-double-div_binary64_736` `pow-sqr_binary64_733` `sqr-pow_binary64_732` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `difference-of-squares_binary64_729` `unswap-sqr_binary64_728` `swap-sqr_binary64_727` `distribute-neg-frac_binary64_724` `distribute-frac-neg_binary64_723` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `distribute-lft-out_binary64_711` `count-2_binary64_708` `associate-/l/_binary64_707` `associate-/r/_binary64_706` `associate-/l_binary64_705` `associate-/r_binary64_704` `associate-l/_binary64_703` `associate-r/_binary64_702` `associate-l_binary64_701` `associate-r_binary64_700`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	182
1	104	182
2	233	182
3	561	182
4	1421	182
5	3408	182
6	4602	182
7	4611	182
8	4271	182
9	5301	182
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6.1%	20.4%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.2%	16.6%	74.3%	14

Compiler

Compiled 18 to 17 computations (5.6% saved)

sample45.0ms (0.4%)

Algorithm

1×

intervals

Results

15.0ms	202×	body	128	valid
8.0ms	17×	body	1024	valid
5.0ms	18×	body	512	valid
3.0ms	19×	body	256	valid
1.0ms	7×	body	128	nan
0.0ms	2×	body	128	invalid

Compiler

Compiled 35 to 37 computations (-5.7% saved)

simplify135.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

753×	`unsub-neg_binary64_754`
686×	`sub-neg_binary64_753`
591×	`distribute-rgt-in_binary64_710`
521×	`neg-sub0_binary64_755`
433×	`associate--r-_binary64_699`
425×	`distribute-lft-in_binary64_709`
394×	`distribute-neg-in_binary64_721`
371×	`neg-mul-1_binary64_756`
346×	`cancel-sign-sub-inv_binary64_726`
339×	`associate-l_binary64_701`
335×	`distribute-neg-out_binary64_722`
227×	`distribute-lft-neg-out_binary64_719`
210×	`associate--r+_binary64_696`
206×	`associate--l-_binary64_698`
201×	`distribute-lft-neg-in_binary64_717`
187×	`associate-+l+_binary64_693`
170×	`associate-+l-_binary64_695`
169×	`*-rgt-identity_binary64_750`
167×	`*-lft-identity_binary64_749`
125×	`associate-+r+_binary64_692`
115×	`associate--l+_binary64_697`
108×	`+-commutative_binary64_690`
91×	`distribute-rgt-neg-in_binary64_718`
75×	`associate-+r-_binary64_694`
68×	`cancel-sign-sub_binary64_725`
60×	`sub0-neg_binary64_747`
59×	`*-commutative_binary64_691`
44×	`associate-r_binary64_700`
36×	`remove-double-neg_binary64_748`
33×	`distribute-rgt-neg-out_binary64_720`
18×	`distribute-lft-out--_binary64_712`
16×	`mul0-rgt_binary64_743` `mul0-lft_binary64_742`
13×	`+-rgt-identity_binary64_745` `distribute-rgt-out--_binary64_714` `distribute-rgt-out_binary64_713`
8×	`--rgt-identity_binary64_746`
5×	`distribute-lft-out_binary64_711`
3×	`mul-1-neg_binary64_752`
2×	`log-prod_binary64_846` `+-lft-identity_binary64_744`
1×	`1-exp_binary64_804`
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` `pow-base-0_binary64_844` `unpow1/3_binary64_827` `unpow3_binary64_826` `unpow2_binary64_825` `unpow1/2_binary64_824` `pow-plus_binary64_823` `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` `cube-unmult_binary64_797` `cube-mult_binary64_790` `cube-div_binary64_789` `cube-prod_binary64_788` `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` `rem-sqrt-square_binary64_773` `rem-square-sqrt_binary64_772` `times-frac_binary64_766` `div-sub_binary64_765` `/-rgt-identity_binary64_751` `div0_binary64_741` `-inverses_binary64_740` `+-inverses_binary64_739` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `remove-double-div_binary64_736` `pow-sqr_binary64_733` `sqr-pow_binary64_732` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `difference-of-squares_binary64_729` `unswap-sqr_binary64_728` `swap-sqr_binary64_727` `distribute-neg-frac_binary64_724` `distribute-frac-neg_binary64_723` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `count-2_binary64_708` `associate-/l/_binary64_707` `associate-/r/_binary64_706` `associate-/l_binary64_705` `associate-/r_binary64_704` `associate-l/_binary64_703` `associate-*r/_binary64_702`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	30	26
2	56	26
3	110	26
4	245	26
5	621	26
6	1270	26
7	1544	26
8	1489	26
9	1566	26
10	1581	26
11	1591	26
12	2401	26
13	4559	26
14	4855	26
15	4463	26
16	4907	26
17	5003	26

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

7.1b

Counts

1 → 1

Compiler

Compiled 17 to 16 computations (5.9% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
0.0b	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y))))
0.1b	(*.f64 (-.f64 x 1) (log.f64 y))
8.6b	(log.f64 (-.f64 1 y))

rewrite252.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

7.0b

Rules

44×	`add-sqr-sqrt_binary64_782`
42×	`log-prod_binary64_846`
38×	`*-un-lft-identity_binary64_760`
18×	`distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709`
17×	`add-cube-cbrt_binary64_795`
14×	`difference-of-squares_binary64_729` `associate-l_binary64_701`
12×	`associate-*l/_binary64_703` `associate-+r+_binary64_692`
11×	`pow1_binary64_821`
9×	`add-exp-log_binary64_798`
8×	`add-cbrt-cube_binary64_796` `associate-r_binary64_700`
7×	`flip3--_binary64_764` `flip--_binary64_735` `distribute-lft-out--_binary64_712`
6×	`add-log-exp_binary64_799` `associate-+l+_binary64_693`
4×	`frac-add_binary64_768`
3×	`log-pow_binary64_849`
2×	`log-div_binary64_847` `pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `difference-of-sqr-1_binary64_730` `*-commutative_binary64_691`
1×	`rem-log-exp_binary64_801` `sum-log_binary64_851` `flip3-+_binary64_763` `flip-+_binary64_734` `+-commutative_binary64_690`

Counts

4 → 118

Calls

4 calls:

18.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y))))
12.0ms	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
9.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(log.f64 (-.f64 1 y))

Compiler

Compiled 3175 to 2156 computations (32.1% saved)

series1.4s (12.1%)

Error

0.1b

Counts

4 → 45

Calls

4 calls:

892.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y))))
240.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
221.0ms	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
35.0ms	(log.f64 (-.f64 1 y))

Compiler

Compiled 2324 to 1793 computations (22.8% saved)

simplify199.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

499×	`associate--r+_binary64_696`
412×	`cancel-sign-sub-inv_binary64_726`
399×	`associate--l+_binary64_697`
228×	`sub-neg_binary64_753`
223×	`associate-l_binary64_701`
218×	`associate-r_binary64_700`
153×	`*-commutative_binary64_691`
139×	`+-commutative_binary64_690`
133×	`distribute-rgt-in_binary64_710`
129×	`distribute-rgt-neg-in_binary64_718` `distribute-rgt-out_binary64_713`
122×	`distribute-lft-in_binary64_709`
119×	`distribute-neg-in_binary64_721`
109×	`unsub-neg_binary64_754`
92×	`distribute-lft-neg-in_binary64_717`
79×	`distribute-lft-neg-out_binary64_719`
73×	`distribute-rgt-neg-out_binary64_720` `associate-+r+_binary64_692`
68×	`log-prod_binary64_846`
66×	`neg-sub0_binary64_755`
62×	`associate-+l+_binary64_693`
58×	`exp-prod_binary64_812`
56×	`neg-mul-1_binary64_756`
46×	`distribute-lft-out_binary64_711`
40×	`*-lft-identity_binary64_749`
39×	`sqr-pow_binary64_732`
36×	`exp-sum_binary64_806`
35×	`associate--r-_binary64_699`
34×	`*-rgt-identity_binary64_750` `associate--l-_binary64_698`
32×	`distribute-rgt-out--_binary64_714`
30×	`cube-prod_binary64_788`
27×	`mul-1-neg_binary64_752`
22×	`exp-diff_binary64_808`
20×	`unswap-sqr_binary64_728`
19×	`swap-sqr_binary64_727`
18×	`exp-to-pow_binary64_822`
14×	`log-div_binary64_847` `unpow3_binary64_826` `distribute-rgt1-in_binary64_716`
12×	`distribute-lft-out--_binary64_712`
8×	`distribute-neg-out_binary64_722`
7×	`distribute-lft1-in_binary64_715`
6×	`log-pow_binary64_849`
5×	`cube-mult_binary64_790`
4×	`remove-double-neg_binary64_748` `difference-of-sqr-1_binary64_730` `associate-/r*_binary64_704`
3×	`log-rec_binary64_848` `unpow1/2_binary64_824` `associate-/l*_binary64_705` `associate-+r-_binary64_694`
2×	`prod-exp_binary64_809` `cube-neg_binary64_787` `sqr-neg_binary64_774` `pow-sqr_binary64_733` `difference-of-sqr--1_binary64_731` `count-2_binary64_708`
1×	`log-E_binary64_850` `unpow2_binary64_825` `pow-plus_binary64_823` `unpow1_binary64_818` `unpow-1_binary64_817` `rec-exp_binary64_810` `exp-neg_binary64_807` `1-exp_binary64_804` `exp-1-e_binary64_803` `rem-exp-log_binary64_800` `cube-unmult_binary64_797` `rem-sqrt-square_binary64_773` `div-sub_binary64_765` `+-rgt-identity_binary64_745` `+-inverses_binary64_739` `difference-of-squares_binary64_729` `cancel-sign-sub_binary64_725` `distribute-frac-neg_binary64_723` `associate-+l-_binary64_695`
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` `pow-base-0_binary64_844` `unpow1/3_binary64_827` `pow-base-1_binary64_820` `unpow0_binary64_819` `exp-lft-cube_binary64_816` `exp-lft-sqr_binary64_815` `exp-cbrt_binary64_814` `exp-sqrt_binary64_813` `div-exp_binary64_811` `e-exp-1_binary64_805` `exp-0_binary64_802` `rem-log-exp_binary64_801` `cube-div_binary64_789` `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-square-sqrt_binary64_772` `times-frac_binary64_766` `/-rgt-identity_binary64_751` `sub0-neg_binary64_747` `--rgt-identity_binary64_746` `+-lft-identity_binary64_744` `mul0-rgt_binary64_743` `mul0-lft_binary64_742` `div0_binary64_741` `-inverses_binary64_740` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `remove-double-div_binary64_736` `distribute-neg-frac_binary64_724` `associate-/l/_binary64_707` `associate-/r/_binary64_706` `associate-l/_binary64_703` `associate-*r/_binary64_702`

Counts

163 → 135

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	288	3378
1	693	3136
2	2405	3070
3	4844	3070
4	4989	3070
5	5000	3070
6	4967	3070

prune231.0ms (1.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	126	9	135
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	127	9	136

Error

0.0b

Counts

136 → 9

Compiler

Compiled 3537 to 2355 computations (33.4% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y))))))
0.0b	(.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y)))
0.1b	(*.f64 (-.f64 x 1) (log.f64 y))
0.4b	(*.f64 1/3 y)

rewrite303.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`add-sqr-sqrt_binary64_782` `associate-*l/_binary64_703`
21×	`flip3--_binary64_764` `flip--_binary64_735`
16×	`*-un-lft-identity_binary64_760` `frac-add_binary64_768`
14×	`pow1_binary64_821`
13×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `add-cube-cbrt_binary64_795`
12×	`log-prod_binary64_846`
11×	`associate-l_binary64_701`
10×	`associate-r_binary64_700`
9×	`distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709`
8×	`frac-times_binary64_770`
6×	`add-log-exp_binary64_799` `associate-*r/_binary64_702` `associate-+l+_binary64_693`
5×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793`
4×	`associate-+r+_binary64_692`
3×	`unswap-sqr_binary64_728` `*-commutative_binary64_691`
2×	`difference-of-squares_binary64_729` `flip3-+_binary64_763` `flip-+_binary64_734` `sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726`
1×	`difference-of-sqr-1_binary64_730` `distribute-lft-out--_binary64_712` `log-pow_binary64_849` `sum-log_binary64_851` `+-commutative_binary64_690`

Counts

4 → 109

Calls

4 calls:

15.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y))))))
9.0ms	(.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y)))
8.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(*.f64 1/3 y)

Compiler

Compiled 4841 to 2862 computations (40.9% saved)

series1.4s (11.4%)

Error

0.0b

Counts

4 → 41

Calls

4 calls:

945.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y))))))
249.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
89.0ms	(.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y)))
30.0ms	(*.f64 1/3 y)

Compiler

Compiled 2859 to 2117 computations (26% saved)

simplify140.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

511×	`associate-l_binary64_701`
489×	`associate-r_binary64_700`
469×	`distribute-rgt-in_binary64_710`
465×	`distribute-lft-in_binary64_709`
122×	`*-commutative_binary64_691`
83×	`associate-+l+_binary64_693`
76×	`associate--l+_binary64_697`
71×	`exp-prod_binary64_812`
66×	`+-commutative_binary64_690`
65×	`associate--r+_binary64_696`
55×	`sub-neg_binary64_753`
50×	`cancel-sign-sub-inv_binary64_726`
45×	`distribute-rgt-neg-in_binary64_718`
41×	`distribute-lft-neg-out_binary64_719`
40×	`distribute-rgt-neg-out_binary64_720`
35×	`log-prod_binary64_846` `distribute-lft-neg-in_binary64_717`
31×	`neg-sub0_binary64_755`
28×	`sqr-pow_binary64_732`
26×	`neg-mul-1_binary64_756`
25×	`distribute-neg-in_binary64_721`
20×	`associate-+r+_binary64_692`
19×	`cube-prod_binary64_788`
18×	`swap-sqr_binary64_727`
16×	`unpow3_binary64_826` `unswap-sqr_binary64_728`
15×	`exp-sum_binary64_806`
11×	`exp-diff_binary64_808`
10×	`cube-mult_binary64_790`
9×	`distribute-rgt-out_binary64_713`
8×	`unsub-neg_binary64_754` `*-rgt-identity_binary64_750`
7×	`exp-neg_binary64_807` `mul-1-neg_binary64_752`
6×	`associate-+l-_binary64_695`
5×	`distribute-rgt1-in_binary64_716` `associate-+r-_binary64_694`
4×	`pow-plus_binary64_823` `*-lft-identity_binary64_749` `difference-of-squares_binary64_729`
3×	`cube-neg_binary64_787` `sqr-neg_binary64_774` `distribute-neg-out_binary64_722`
2×	`log-div_binary64_847` `remove-double-neg_binary64_748` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `distribute-rgt-out--_binary64_714` `distribute-lft-out--_binary64_712` `distribute-lft-out_binary64_711` `count-2_binary64_708`
1×	`log-pow_binary64_849` `log-rec_binary64_848` `unpow1/3_binary64_827` `unpow2_binary64_825` `unpow1/2_binary64_824` `exp-to-pow_binary64_822` `unpow1_binary64_818` `prod-exp_binary64_809` `1-exp_binary64_804` `cube-unmult_binary64_797` `pow-sqr_binary64_733` `associate--r-_binary64_699` `associate--l-_binary64_698`
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` `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` `e-exp-1_binary64_805` `exp-1-e_binary64_803` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `cube-div_binary64_789` `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` `times-frac_binary64_766` `div-sub_binary64_765` `/-rgt-identity_binary64_751` `sub0-neg_binary64_747` `--rgt-identity_binary64_746` `+-rgt-identity_binary64_745` `+-lft-identity_binary64_744` `mul0-rgt_binary64_743` `mul0-lft_binary64_742` `div0_binary64_741` `-inverses_binary64_740` `+-inverses_binary64_739` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `remove-double-div_binary64_736` `cancel-sign-sub_binary64_725` `distribute-neg-frac_binary64_724` `distribute-frac-neg_binary64_723` `distribute-lft1-in_binary64_715` `associate-/l/_binary64_707` `associate-/r/_binary64_706` `associate-/l_binary64_705` `associate-/r_binary64_704` `associate-l/_binary64_703` `associate-*r/_binary64_702`

Counts

150 → 121

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	333	4832
1	983	4508
2	4858	4507
3	4969	4507

prune248.0ms (2.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	118	3	121
Fresh	3	5	8
Picked	0	1	1
Done	0	0	0
Total	121	9	130

Error

0.0b

Counts

130 → 9

Compiler

Compiled 4800 to 3009 computations (37.3% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 1 y))
0.1b	(*.f64 (log.f64 y) (+.f64 -1 x))
8.8b	(log.f64 (sqrt.f64 (-.f64 1 y)))
8.8b	(log.f64 (sqrt.f64 (-.f64 1 y)))

rewrite212.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`add-sqr-sqrt_binary64_782`
22×	`*-un-lft-identity_binary64_760`
18×	`log-prod_binary64_846` `sqrt-prod_binary64_776`
12×	`pow1_binary64_821`
11×	`add-cube-cbrt_binary64_795`
8×	`add-exp-log_binary64_798`
7×	`log-pow_binary64_849`
6×	`sqrt-div_binary64_777` `difference-of-squares_binary64_729` `add-cbrt-cube_binary64_796`
4×	`log-div_binary64_847` `add-log-exp_binary64_799` `associate-l_binary64_701` `associate-r_binary64_700`
3×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `flip3--_binary64_764` `flip--_binary64_735` `distribute-lft-out--_binary64_712`
2×	`rem-log-exp_binary64_801` `associate-*r/_binary64_702`
1×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709` `flip3-+_binary64_763` `flip-+_binary64_734` `distribute-lft-out_binary64_711` `*-commutative_binary64_691` `rem-sqrt-square_binary64_773`

Counts

4 → 86

Calls

4 calls:

8.0ms	(*.f64 (log.f64 y) (+.f64 -1 x))
6.0ms	(log.f64 (sqrt.f64 (-.f64 1 y)))
5.0ms	(log.f64 (sqrt.f64 (-.f64 1 y)))
4.0ms	(sqrt.f64 (-.f64 1 y))

Compiler

Compiled 2968 to 2170 computations (26.9% saved)

series421.0ms (3.5%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

266.0ms	(*.f64 (log.f64 y) (+.f64 -1 x))
44.0ms	(log.f64 (sqrt.f64 (-.f64 1 y)))
42.0ms	(log.f64 (sqrt.f64 (-.f64 1 y)))
26.0ms	(sqrt.f64 (-.f64 1 y))

Compiler

Compiled 2038 to 1650 computations (19% saved)

simplify108.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

349×	`distribute-rgt-in_binary64_710`
332×	`associate-l_binary64_701`
313×	`distribute-lft-in_binary64_709`
288×	`associate--r+_binary64_696`
261×	`associate-r_binary64_700`
210×	`exp-diff_binary64_808`
192×	`distribute-rgt-neg-in_binary64_718`
187×	`distribute-neg-in_binary64_721`
166×	`sub-neg_binary64_753`
154×	`distribute-lft-neg-in_binary64_717`
149×	`distribute-lft-out_binary64_711`
139×	`distribute-rgt-out_binary64_713`
133×	`distribute-rgt-neg-out_binary64_720`
128×	`distribute-lft-neg-out_binary64_719`
115×	`unsub-neg_binary64_754`
107×	`associate--l+_binary64_697`
102×	`*-commutative_binary64_691`
85×	`exp-sum_binary64_806`
78×	`log-prod_binary64_846` `associate--r-_binary64_699`
77×	`exp-prod_binary64_812`
73×	`cancel-sign-sub-inv_binary64_726`
66×	`neg-sub0_binary64_755`
57×	`distribute-rgt-out--_binary64_714` `associate-+l+_binary64_693`
50×	`distribute-lft-out--_binary64_712`
49×	`neg-mul-1_binary64_756` `+-commutative_binary64_690`
46×	`associate-+r+_binary64_692`
44×	`sqr-pow_binary64_732`
38×	`unswap-sqr_binary64_728`
36×	`associate--l-_binary64_698`
31×	`associate-+l-_binary64_695`
29×	`exp-to-pow_binary64_822`
25×	`*-lft-identity_binary64_749`
23×	`cube-prod_binary64_788` `*-rgt-identity_binary64_750`
22×	`associate-+r-_binary64_694`
21×	`sub0-neg_binary64_747`
19×	`log-div_binary64_847` `mul-1-neg_binary64_752`
18×	`prod-exp_binary64_809`
17×	`associate-/r*_binary64_704`
16×	`cancel-sign-sub_binary64_725`
15×	`distribute-neg-out_binary64_722`
13×	`+-rgt-identity_binary64_745` `distribute-rgt1-in_binary64_716`
11×	`swap-sqr_binary64_727`
10×	`unpow3_binary64_826`
8×	`log-pow_binary64_849` `cube-unmult_binary64_797` `difference-of-sqr-1_binary64_730`
7×	`pow-sqr_binary64_733` `associate-/l*_binary64_705`
6×	`div-sub_binary64_765`
5×	`pow-plus_binary64_823`
4×	`unpow1/2_binary64_824` `rem-sqrt-square_binary64_773` `count-2_binary64_708` `associate-*r/_binary64_702`
3×	`cube-neg_binary64_787` `sqr-neg_binary64_774` `remove-double-neg_binary64_748`
2×	`log-rec_binary64_848` `rem-exp-log_binary64_800` `cube-mult_binary64_790` `mul0-rgt_binary64_743` `mul0-lft_binary64_742` `+-inverses_binary64_739` `distribute-frac-neg_binary64_723` `distribute-lft1-in_binary64_715` `associate-*l/_binary64_703`
1×	`log-E_binary64_850` `unpow2_binary64_825` `unpow1_binary64_818` `div-exp_binary64_811` `rec-exp_binary64_810` `exp-neg_binary64_807` `1-exp_binary64_804` `exp-1-e_binary64_803` `rem-square-sqrt_binary64_772` `--rgt-identity_binary64_746` `+-lft-identity_binary64_744` `difference-of-sqr--1_binary64_731` `associate-/l/_binary64_707`
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` `pow-base-0_binary64_844` `unpow1/3_binary64_827` `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` `e-exp-1_binary64_805` `exp-0_binary64_802` `rem-log-exp_binary64_801` `cube-div_binary64_789` `rem-3cbrt-rft_binary64_786` `rem-3cbrt-lft_binary64_785` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `times-frac_binary64_766` `/-rgt-identity_binary64_751` `div0_binary64_741` `*-inverses_binary64_740` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `remove-double-div_binary64_736` `difference-of-squares_binary64_729` `distribute-neg-frac_binary64_724` `associate-/r/_binary64_706`

Counts

113 → 64

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	145	1428
1	303	1327
2	818	1303
3	2233	1288
4	4605	1288
5	4953	1288

prune130.0ms (1.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	64	9	73

Error

0.0b

Counts

73 → 9

Compiler

Compiled 2401 to 1746 computations (27.3% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (log.f64 y) (+.f64 -1 x))
4.2b	(log.f64 (sqrt.f64 (-.f64 1 (pow.f64 y 3))))
8.8b	(log.f64 (sqrt.f64 (-.f64 1 y)))
8.9b	(log.f64 (sqrt.f64 (+.f64 1 (+.f64 y (*.f64 y y)))))

rewrite291.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

31×	`log-prod_binary64_846`
27×	`add-sqr-sqrt_binary64_782`
25×	`*-un-lft-identity_binary64_760`
22×	`sqrt-prod_binary64_776`
13×	`pow1_binary64_821`
12×	`add-cube-cbrt_binary64_795`
10×	`log-pow_binary64_849` `difference-of-squares_binary64_729`
9×	`add-exp-log_binary64_798`
6×	`sqrt-div_binary64_777` `log-div_binary64_847` `add-cbrt-cube_binary64_796`
4×	`add-log-exp_binary64_799` `associate-l_binary64_701` `associate-r_binary64_700`
3×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-log-exp_binary64_801`
2×	`flip3-+_binary64_763` `flip-+_binary64_734` `distribute-lft-out_binary64_711` `flip3--_binary64_764` `flip--_binary64_735` `distribute-lft-out--_binary64_712` `unpow-prod-down_binary64_839` `cube-prod_binary64_788` `sqr-pow_binary64_732` `associate-*r/_binary64_702`
1×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709` `*-commutative_binary64_691`

Counts

4 → 94

Calls

4 calls:

9.0ms	(log.f64 (sqrt.f64 (-.f64 1 (pow.f64 y 3))))
8.0ms	(*.f64 (log.f64 y) (+.f64 -1 x))
7.0ms	(log.f64 (sqrt.f64 (+.f64 1 (+.f64 y (*.f64 y y)))))
5.0ms	(log.f64 (sqrt.f64 (-.f64 1 y)))

Compiler

Compiled 4511 to 3112 computations (31% saved)

series551.0ms (4.6%)

Error

0.0b

Counts

4 → 26

Calls

4 calls:

282.0ms	(*.f64 (log.f64 y) (+.f64 -1 x))
114.0ms	(log.f64 (sqrt.f64 (-.f64 1 (pow.f64 y 3))))
55.0ms	(log.f64 (sqrt.f64 (+.f64 1 (+.f64 y (*.f64 y y)))))
45.0ms	(log.f64 (sqrt.f64 (-.f64 1 y)))

Compiler

Compiled 2741 to 2159 computations (21.2% saved)

simplify181.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

404×	`distribute-rgt-in_binary64_710`
360×	`distribute-lft-in_binary64_709`
319×	`distribute-rgt-neg-out_binary64_720`
314×	`unsub-neg_binary64_754`
267×	`sub-neg_binary64_753`
257×	`distribute-neg-in_binary64_721`
227×	`*-commutative_binary64_691`
182×	`exp-sum_binary64_806`
181×	`cancel-sign-sub-inv_binary64_726`
146×	`neg-sub0_binary64_755`
132×	`neg-mul-1_binary64_756`
125×	`distribute-rgt-neg-in_binary64_718`
124×	`unswap-sqr_binary64_728`
115×	`associate-l_binary64_701`
111×	`log-prod_binary64_846`
106×	`associate-r_binary64_700`
104×	`associate-+l+_binary64_693`
98×	`associate-+r+_binary64_692`
93×	`distribute-lft-neg-in_binary64_717`
87×	`cube-prod_binary64_788`
84×	`+-commutative_binary64_690`
78×	`sqr-pow_binary64_732`
72×	`exp-diff_binary64_808`
69×	`exp-prod_binary64_812`
58×	`distribute-lft-neg-out_binary64_719`
54×	`associate--r+_binary64_696`
51×	`associate-+l-_binary64_695`
47×	`unpow3_binary64_826`
46×	`associate-+r-_binary64_694`
41×	`associate--l+_binary64_697`
40×	`distribute-rgt-out_binary64_713`
38×	`swap-sqr_binary64_727`
36×	`*-lft-identity_binary64_749`
33×	`sub0-neg_binary64_747`
32×	`*-rgt-identity_binary64_750` `distribute-neg-out_binary64_722`
27×	`cancel-sign-sub_binary64_725`
26×	`exp-to-pow_binary64_822`
25×	`+-rgt-identity_binary64_745`
24×	`prod-exp_binary64_809`
23×	`distribute-rgt-out--_binary64_714`
22×	`log-div_binary64_847`
19×	`log-pow_binary64_849` `mul-1-neg_binary64_752` `remove-double-neg_binary64_748`
16×	`distribute-rgt1-in_binary64_716` `distribute-lft-out_binary64_711`
15×	`cube-unmult_binary64_797` `difference-of-sqr-1_binary64_730`
14×	`pow-sqr_binary64_733`
13×	`pow-plus_binary64_823` `cube-mult_binary64_790` `associate--r-_binary64_699`
11×	`exp-neg_binary64_807`
9×	`div-sub_binary64_765` `distribute-lft-out--_binary64_712`
7×	`rem-exp-log_binary64_800` `cube-div_binary64_789` `rem-sqrt-square_binary64_773` `--rgt-identity_binary64_746`
6×	`cube-neg_binary64_787` `associate-/r*_binary64_704`
5×	`sqr-neg_binary64_774` `difference-of-squares_binary64_729`
4×	`log-rec_binary64_848` `unpow1/2_binary64_824` `associate--l-_binary64_698`
3×	`count-2_binary64_708`
2×	`mul0-rgt_binary64_743` `mul0-lft_binary64_742` `+-inverses_binary64_739` `difference-of-sqr--1_binary64_731`
1×	`log-E_binary64_850` `unpow2_binary64_825` `unpow1_binary64_818` `div-exp_binary64_811` `rec-exp_binary64_810` `1-exp_binary64_804` `exp-1-e_binary64_803` `rem-log-exp_binary64_801` `rem-square-sqrt_binary64_772` `+-lft-identity_binary64_744` `distribute-neg-frac_binary64_724` `distribute-frac-neg_binary64_723` `associate-/l_binary64_705` `associate-r/_binary64_702`
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` `pow-base-0_binary64_844` `unpow1/3_binary64_827` `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` `e-exp-1_binary64_805` `exp-0_binary64_802` `rem-3cbrt-rft_binary64_786` `rem-3cbrt-lft_binary64_785` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `times-frac_binary64_766` `/-rgt-identity_binary64_751` `div0_binary64_741` `-inverses_binary64_740` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `remove-double-div_binary64_736` `distribute-lft1-in_binary64_715` `associate-/l/_binary64_707` `associate-/r/_binary64_706` `associate-l/_binary64_703`

Counts

120 → 73

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	249	1979
1	491	1818
2	1270	1800
3	3166	1776
4	4632	1773
5	4943	1769
6	4993	1769
7	4933	1769

prune185.0ms (1.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	73	9	82

Error

0.0b

Counts

82 → 9

Compiler

Compiled 3245 to 2221 computations (31.6% saved)

regimes1.5s (12.5%)

Accuracy

Total 0.2b remaining (89.3%)

Threshold costs 0.2b (89.3%)

Compiler

Compiled 18742 to 15582 computations (16.9% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

71×	`unsub-neg_binary64_754`
58×	`neg-mul-1_binary64_756` `neg-sub0_binary64_755`
29×	`*-commutative_binary64_691`
26×	`distribute-neg-out_binary64_722`
24×	`+-commutative_binary64_690`
19×	`distribute-rgt-neg-in_binary64_718`
18×	`sub-neg_binary64_753`
15×	`distribute-rgt-neg-out_binary64_720` `distribute-lft-neg-out_binary64_719` `distribute-lft-neg-in_binary64_717`
13×	`*-lft-identity_binary64_749`
12×	`+-rgt-identity_binary64_745` `+-lft-identity_binary64_744`
11×	`cancel-sign-sub-inv_binary64_726`
8×	`distribute-neg-in_binary64_721`
6×	`*-rgt-identity_binary64_750`
1×	`1-exp_binary64_804` `remove-double-neg_binary64_748` `--rgt-identity_binary64_746`
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` `mul-1-neg_binary64_752` `/-rgt-identity_binary64_751` `sub0-neg_binary64_747` `cancel-sign-sub_binary64_725` `distribute-neg-frac_binary64_724` `distribute-frac-neg_binary64_723`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	38
1	42	38
2	63	38
3	86	36
4	132	36
5	155	36
6	180	36
7	193	36
8	201	36
9	263	36
10	251	36
11	234	36

end0.0ms (0%)

sample3.4s (28.6%)

Algorithm

1×

intervals

Results

453.0ms	6127×	body	128	valid
415.0ms	796×	body	512	valid
223.0ms	455×	body	1024	valid
94.0ms	617×	body	256	valid
21.0ms	279×	body	128	nan
3.0ms	5×	body	2048	valid
2.0ms	33×	body	128	invalid

Compiler

Compiled 2366 to 1966 computations (16.9% saved)

Iter	Nodes	Cost
0	21	38
1	42	38
2	63	38
3	86	36
4	132	36
5	155	36
6	180	36
7	193	36
8	201	36
9	263	36
10	251	36
11	234	36

Iter	Nodes	Cost
0	21	38
1	42	38
2	63	38
3	86	36
4	132	36
5	155	36
6	180	36
7	193	36
8	201	36
9	263	36
10	251	36
11	234	36

Details

analyze535.0ms (4.5%)

sample45.0ms (0.4%)

simplify135.0ms (1.1%)

prune2.0ms (0%)

localize13.0ms (0.1%)

rewrite252.0ms (2.1%)

series1.4s (12.1%)

simplify199.0ms (1.7%)

prune231.0ms (1.9%)

localize17.0ms (0.1%)

rewrite303.0ms (2.5%)

series1.4s (11.4%)

simplify140.0ms (1.2%)

prune248.0ms (2.1%)

localize20.0ms (0.2%)

rewrite212.0ms (1.8%)

series421.0ms (3.5%)

simplify108.0ms (0.9%)

prune130.0ms (1.1%)

localize32.0ms (0.3%)

rewrite291.0ms (2.4%)

series551.0ms (4.6%)

simplify181.0ms (1.5%)

prune185.0ms (1.5%)

regimes1.5s (12.5%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

end0.0ms (0%)

sample3.4s (28.6%)

Profiling

Iter	Nodes	Cost
0	21	38
1	42	38
2	63	38
3	86	36
4	132	36
5	155	36
6	180	36
7	193	36
8	201	36
9	263	36
10	251	36
11	234	36