Details

analyze795.0ms (10.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

1227×	`div-sub_binary64_10313`
708×	`sub-neg_binary64_10301`
619×	`neg-mul-1_binary64_10304`
518×	`cancel-sign-sub-inv_binary64_10274`
510×	`neg-sub0_binary64_10303`
482×	`unsub-neg_binary64_10302`
370×	`distribute-neg-frac_binary64_10272`
339×	`distribute-rgt-in_binary64_10258`
294×	`distribute-frac-neg_binary64_10271`
268×	`distribute-rgt-neg-out_binary64_10268`
257×	`associate-/l*_binary64_10253`
232×	`distribute-lft-in_binary64_10257`
227×	`remove-double-neg_binary64_10296`
187×	`distribute-rgt-neg-in_binary64_10266`
183×	`distribute-neg-in_binary64_10269`
174×	`times-frac_binary64_10314`
170×	`distribute-lft-neg-out_binary64_10267`
167×	`+-commutative_binary64_10238`
163×	`+-lft-identity_binary64_10292`
148×	`distribute-lft-neg-in_binary64_10265`
137×	`associate-/r*_binary64_10252`
111×	`*-lft-identity_binary64_10297`
88×	`associate-+r-_binary64_10242`
79×	`*-commutative_binary64_10239`
77×	`associate--r+_binary64_10244`
70×	`associate-r_binary64_10248`
65×	`associate-/r/_binary64_10254`
64×	`cancel-sign-sub_binary64_10273`
58×	`mul0-lft_binary64_10290`
57×	`associate--r-_binary64_10247`
56×	`mul0-rgt_binary64_10291`
50×	`associate-+l-_binary64_10243`
47×	`associate-*l/_binary64_10251`
46×	`associate-l_binary64_10249`
44×	`distribute-rgt-out--_binary64_10262`
43×	`div0_binary64_10289`
42×	`*-rgt-identity_binary64_10298`
40×	`distribute-neg-out_binary64_10270`
38×	`associate-*r/_binary64_10250`
30×	`sub0-neg_binary64_10295`
16×	`distribute-rgt-out_binary64_10261` `associate-+r+_binary64_10240`
13×	`+-rgt-identity_binary64_10293`
12×	`distribute-lft-out--_binary64_10260`
11×	`associate-+l+_binary64_10241`
9×	`--rgt-identity_binary64_10294` `distribute-lft-out_binary64_10259`
8×	`*-inverses_binary64_10288`
7×	`associate--l+_binary64_10245`
6×	`distribute-rgt1-in_binary64_10264`
3×	`/-rgt-identity_binary64_10299`
2×	`remove-double-div_binary64_10284`
1×	`1-exp_binary64_10352` `associate--l-_binary64_10246`
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_10571` `erf-erfc_binary64_10570` `erf-odd_binary64_10569` `if-if-and-not_binary64_10568` `if-if-and_binary64_10567` `if-if-or-not_binary64_10566` `if-if-or_binary64_10565` `if-not_binary64_10564` `if-same_binary64_10563` `if-false_binary64_10562` `if-true_binary64_10561` `not-gte_binary64_10560` `not-lte_binary64_10559` `not-gt_binary64_10558` `not-lt_binary64_10557` `gte-same_binary64_10556` `lte-same_binary64_10555` `gt-same_binary64_10554` `lt-same_binary64_10553` `sinh---cosh_binary64_10500` `sinh-+-cosh_binary64_10499` `sinh-cosh_binary64_10498` `tanh-def-c_binary64_10497` `tanh-def-b_binary64_10496` `tanh-def-a_binary64_10495` `cosh-def_binary64_10494` `sinh-def_binary64_10493` `tan-neg_binary64_10440` `cos-neg_binary64_10439` `sin-neg_binary64_10438` `tan-0_binary64_10437` `cos-0_binary64_10436` `sin-0_binary64_10435` `hang-m-tan_binary64_10434` `hang-p-tan_binary64_10433` `hang-m0-tan_binary64_10432` `hang-p0-tan_binary64_10431` `hang-0m-tan_binary64_10430` `hang-0p-tan_binary64_10429` `tan-+PI/2_binary64_10428` `tan-+PI_binary64_10427` `tan-PI_binary64_10426` `tan-PI/3_binary64_10425` `tan-PI/4_binary64_10424` `tan-PI/6_binary64_10423` `cos-+PI/2_binary64_10422` `cos-+PI_binary64_10421` `cos-PI_binary64_10420` `cos-PI/2_binary64_10419` `cos-PI/3_binary64_10418` `cos-PI/4_binary64_10417` `cos-PI/6_binary64_10416` `sin-+PI/2_binary64_10415` `sin-+PI_binary64_10414` `sin-PI_binary64_10413` `sin-PI/2_binary64_10412` `sin-PI/3_binary64_10411` `sin-PI/4_binary64_10410` `sin-PI/6_binary64_10409` `sub-1-sin_binary64_10408` `sub-1-cos_binary64_10407` `-1-add-sin_binary64_10406` `-1-add-cos_binary64_10405` `1-sub-sin_binary64_10404` `1-sub-cos_binary64_10403` `cos-sin-sum_binary64_10402` `log-E_binary64_10398` `log-pow_binary64_10397` `log-rec_binary64_10396` `log-div_binary64_10395` `log-prod_binary64_10394` `pow-base-0_binary64_10392` `unpow1/3_binary64_10375` `unpow3_binary64_10374` `unpow2_binary64_10373` `unpow1/2_binary64_10372` `pow-plus_binary64_10371` `exp-to-pow_binary64_10370` `pow-base-1_binary64_10368` `unpow0_binary64_10367` `unpow1_binary64_10366` `unpow-1_binary64_10365` `exp-lft-cube_binary64_10364` `exp-lft-sqr_binary64_10363` `exp-cbrt_binary64_10362` `exp-sqrt_binary64_10361` `exp-prod_binary64_10360` `div-exp_binary64_10359` `rec-exp_binary64_10358` `prod-exp_binary64_10357` `exp-diff_binary64_10356` `exp-neg_binary64_10355` `exp-sum_binary64_10354` `e-exp-1_binary64_10353` `exp-1-e_binary64_10351` `exp-0_binary64_10350` `rem-log-exp_binary64_10349` `rem-exp-log_binary64_10348` `cube-unmult_binary64_10345` `cube-mult_binary64_10338` `cube-div_binary64_10337` `cube-prod_binary64_10336` `cube-neg_binary64_10335` `rem-3cbrt-rft_binary64_10334` `rem-3cbrt-lft_binary64_10333` `rem-cbrt-cube_binary64_10332` `rem-cube-cbrt_binary64_10331` `sqr-abs_binary64_10323` `sqr-neg_binary64_10322` `rem-sqrt-square_binary64_10321` `rem-square-sqrt_binary64_10320` `mul-1-neg_binary64_10300` `+-inverses_binary64_10287` `lft-mult-inverse_binary64_10286` `rgt-mult-inverse_binary64_10285` `pow-sqr_binary64_10281` `sqr-pow_binary64_10280` `difference-of-sqr--1_binary64_10279` `difference-of-sqr-1_binary64_10278` `difference-of-squares_binary64_10277` `unswap-sqr_binary64_10276` `swap-sqr_binary64_10275` `distribute-lft1-in_binary64_10263` `count-2_binary64_10256` `associate-/l/_binary64_10255`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	91
1	82	91
2	135	91
3	334	91
4	634	91
5	1497	91
6	3440	91
7	3911	91
8	4338	91
9	4556	91
10	4602	91
11	4684	91
12	5214	91
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%	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
3.1%	96.7%	0.2%	8
19.9%	79.9%	0.2%	9
22.8%	77%	0.2%	10
35.1%	64.7%	0.2%	11
45%	54.8%	0.2%	12
53.8%	45.1%	1.2%	13
56.2%	42.4%	1.5%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample20.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	23×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify263.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

990×	`div-sub_binary64_10313`
927×	`distribute-rgt-in_binary64_10258`
872×	`distribute-lft-in_binary64_10257`
760×	`sub-neg_binary64_10301`
615×	`times-frac_binary64_10314`
346×	`distribute-neg-frac_binary64_10272`
343×	`neg-mul-1_binary64_10304`
334×	`associate-/l*_binary64_10253`
328×	`*-commutative_binary64_10239`
325×	`neg-sub0_binary64_10303`
307×	`distribute-rgt-neg-in_binary64_10266`
305×	`cancel-sign-sub-inv_binary64_10274`
304×	`unsub-neg_binary64_10302`
287×	`associate-/r*_binary64_10252`
264×	`distribute-rgt-neg-out_binary64_10268`
223×	`distribute-lft-neg-out_binary64_10267`
199×	`associate--r+_binary64_10244`
194×	`associate-/r/_binary64_10254`
189×	`distribute-lft-neg-in_binary64_10265`
177×	`associate-*l/_binary64_10251`
176×	`associate-/l/_binary64_10255`
169×	`distribute-frac-neg_binary64_10271`
158×	`associate-r_binary64_10248`
151×	`associate-*r/_binary64_10250`
123×	`remove-double-neg_binary64_10296`
118×	`cancel-sign-sub_binary64_10273`
112×	`associate--r-_binary64_10247`
104×	`-lft-identity_binary64_10297` `associate-l*_binary64_10249`
93×	`+-commutative_binary64_10238`
66×	`associate-+l+_binary64_10241` `associate-+r+_binary64_10240`
62×	`distribute-rgt-out--_binary64_10262`
59×	`div0_binary64_10289`
58×	`distribute-neg-in_binary64_10269`
55×	`associate--l+_binary64_10245`
49×	`+-rgt-identity_binary64_10293`
48×	`associate-+r-_binary64_10242`
45×	`distribute-rgt-out_binary64_10261`
42×	`distribute-neg-out_binary64_10270`
35×	`associate--l-_binary64_10246`
31×	`--rgt-identity_binary64_10294` `associate-+l-_binary64_10243`
30×	`distribute-lft-out--_binary64_10260`
27×	`mul0-rgt_binary64_10291`
24×	`/-rgt-identity_binary64_10299`
22×	`*-rgt-identity_binary64_10298` `sub0-neg_binary64_10295` `mul0-lft_binary64_10290`
19×	`distribute-lft-out_binary64_10259`
12×	`remove-double-div_binary64_10284`
11×	`+-lft-identity_binary64_10292`
2×	`mul-1-neg_binary64_10300` `swap-sqr_binary64_10275` `distribute-rgt1-in_binary64_10264`
1×	`1-exp_binary64_10352` `sqr-neg_binary64_10322` `*-inverses_binary64_10288` `lft-mult-inverse_binary64_10286` `rgt-mult-inverse_binary64_10285`
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_10571` `erf-erfc_binary64_10570` `erf-odd_binary64_10569` `if-if-and-not_binary64_10568` `if-if-and_binary64_10567` `if-if-or-not_binary64_10566` `if-if-or_binary64_10565` `if-not_binary64_10564` `if-same_binary64_10563` `if-false_binary64_10562` `if-true_binary64_10561` `not-gte_binary64_10560` `not-lte_binary64_10559` `not-gt_binary64_10558` `not-lt_binary64_10557` `gte-same_binary64_10556` `lte-same_binary64_10555` `gt-same_binary64_10554` `lt-same_binary64_10553` `sinh---cosh_binary64_10500` `sinh-+-cosh_binary64_10499` `sinh-cosh_binary64_10498` `tanh-def-c_binary64_10497` `tanh-def-b_binary64_10496` `tanh-def-a_binary64_10495` `cosh-def_binary64_10494` `sinh-def_binary64_10493` `tan-neg_binary64_10440` `cos-neg_binary64_10439` `sin-neg_binary64_10438` `tan-0_binary64_10437` `cos-0_binary64_10436` `sin-0_binary64_10435` `hang-m-tan_binary64_10434` `hang-p-tan_binary64_10433` `hang-m0-tan_binary64_10432` `hang-p0-tan_binary64_10431` `hang-0m-tan_binary64_10430` `hang-0p-tan_binary64_10429` `tan-+PI/2_binary64_10428` `tan-+PI_binary64_10427` `tan-PI_binary64_10426` `tan-PI/3_binary64_10425` `tan-PI/4_binary64_10424` `tan-PI/6_binary64_10423` `cos-+PI/2_binary64_10422` `cos-+PI_binary64_10421` `cos-PI_binary64_10420` `cos-PI/2_binary64_10419` `cos-PI/3_binary64_10418` `cos-PI/4_binary64_10417` `cos-PI/6_binary64_10416` `sin-+PI/2_binary64_10415` `sin-+PI_binary64_10414` `sin-PI_binary64_10413` `sin-PI/2_binary64_10412` `sin-PI/3_binary64_10411` `sin-PI/4_binary64_10410` `sin-PI/6_binary64_10409` `sub-1-sin_binary64_10408` `sub-1-cos_binary64_10407` `-1-add-sin_binary64_10406` `-1-add-cos_binary64_10405` `1-sub-sin_binary64_10404` `1-sub-cos_binary64_10403` `cos-sin-sum_binary64_10402` `log-E_binary64_10398` `log-pow_binary64_10397` `log-rec_binary64_10396` `log-div_binary64_10395` `log-prod_binary64_10394` `pow-base-0_binary64_10392` `unpow1/3_binary64_10375` `unpow3_binary64_10374` `unpow2_binary64_10373` `unpow1/2_binary64_10372` `pow-plus_binary64_10371` `exp-to-pow_binary64_10370` `pow-base-1_binary64_10368` `unpow0_binary64_10367` `unpow1_binary64_10366` `unpow-1_binary64_10365` `exp-lft-cube_binary64_10364` `exp-lft-sqr_binary64_10363` `exp-cbrt_binary64_10362` `exp-sqrt_binary64_10361` `exp-prod_binary64_10360` `div-exp_binary64_10359` `rec-exp_binary64_10358` `prod-exp_binary64_10357` `exp-diff_binary64_10356` `exp-neg_binary64_10355` `exp-sum_binary64_10354` `e-exp-1_binary64_10353` `exp-1-e_binary64_10351` `exp-0_binary64_10350` `rem-log-exp_binary64_10349` `rem-exp-log_binary64_10348` `cube-unmult_binary64_10345` `cube-mult_binary64_10338` `cube-div_binary64_10337` `cube-prod_binary64_10336` `cube-neg_binary64_10335` `rem-3cbrt-rft_binary64_10334` `rem-3cbrt-lft_binary64_10333` `rem-cbrt-cube_binary64_10332` `rem-cube-cbrt_binary64_10331` `sqr-abs_binary64_10323` `rem-sqrt-square_binary64_10321` `rem-square-sqrt_binary64_10320` `+-inverses_binary64_10287` `pow-sqr_binary64_10281` `sqr-pow_binary64_10280` `difference-of-sqr--1_binary64_10279` `difference-of-sqr-1_binary64_10278` `difference-of-squares_binary64_10277` `unswap-sqr_binary64_10276` `distribute-lft1-in_binary64_10263` `count-2_binary64_10256`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	18	13
2	29	13
3	65	13
4	125	13
5	226	13
6	498	13
7	1250	13
8	2587	13
9	2757	13
10	3143	13
11	3198	13
12	3212	13
13	3275	13
14	3697	13
15	3441	13
16	3665	13
17	3657	13
18	3693	13
19	3693	13
20	3729	13
21	3729	13
22	5412	13

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

3.3b

Counts

1 → 1

Compiler

Compiled 9 to 8 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 z y))
3.2b	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)

rewrite133.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

75×	`add-sqr-sqrt_binary64_10330`
70×	`*-un-lft-identity_binary64_10308`
51×	`times-frac_binary64_10314`
31×	`associate-l_binary64_10249`
26×	`add-cube-cbrt_binary64_10343`
22×	`difference-of-squares_binary64_10277` `distribute-lft-out--_binary64_10260`
9×	`add-exp-log_binary64_10346` `add-cbrt-cube_binary64_10344`
5×	`associate-/l_binary64_10253` `associate-/r_binary64_10252`
4×	`pow1_binary64_10369` `associate-/r/_binary64_10254`
3×	`flip3--_binary64_10312` `flip--_binary64_10283` `associate-r_binary64_10248`
2×	`div-exp_binary64_10359` `prod-exp_binary64_10357` `add-log-exp_binary64_10347` `cbrt-unprod_binary64_10341` `cbrt-undiv_binary64_10342` `unswap-sqr_binary64_10276` `div-inv_binary64_10305` `associate-/l/_binary64_10255`
1×	`pow-prod-down_binary64_10379` `associate-l/_binary64_10251` `-commutative_binary64_10239` `frac-2neg_binary64_10319` `div-sub_binary64_10313` `clear-num_binary64_10307`

Counts

2 → 102

Calls

2 calls:

14.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)
13.0ms	(/.f64 (-.f64 x y) (-.f64 z y))

Compiler

Compiled 1903 to 389 computations (79.6% saved)

series612.0ms (7.9%)

Error

0.1b

Counts

2 → 43

Calls

2 calls:

361.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)
214.0ms	(/.f64 (-.f64 x y) (-.f64 z y))

Compiler

Compiled 1825 to 1139 computations (37.6% saved)

simplify115.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

431×	`associate-l_binary64_10249`
383×	`div-sub_binary64_10313`
379×	`associate-/l*_binary64_10253`
343×	`associate-*l/_binary64_10251`
290×	`distribute-rgt-in_binary64_10258`
260×	`distribute-lft-in_binary64_10257`
243×	`associate-*r/_binary64_10250`
234×	`times-frac_binary64_10314`
172×	`associate-/r*_binary64_10252`
122×	`sub-neg_binary64_10301`
121×	`associate-/r/_binary64_10254`
118×	`cancel-sign-sub-inv_binary64_10274`
102×	`associate-/l/_binary64_10255`
79×	`*-commutative_binary64_10239`
59×	`+-commutative_binary64_10238`
50×	`distribute-neg-frac_binary64_10272`
48×	`neg-sub0_binary64_10303`
43×	`associate-r_binary64_10248`
42×	`neg-mul-1_binary64_10304`
40×	`exp-prod_binary64_10360` `associate--l+_binary64_10245`
32×	`distribute-rgt-neg-in_binary64_10266`
30×	`cube-prod_binary64_10336` `distribute-lft-neg-in_binary64_10265`
26×	`log-div_binary64_10395` `associate--r+_binary64_10244`
24×	`log-prod_binary64_10394` `sqr-pow_binary64_10280`
23×	`cube-div_binary64_10337` `distribute-lft-neg-out_binary64_10267`
22×	`distribute-rgt-neg-out_binary64_10268`
19×	`unsub-neg_binary64_10302`
18×	`distribute-neg-in_binary64_10269` `associate-+l+_binary64_10241`
17×	`*-rgt-identity_binary64_10298`
12×	`exp-sum_binary64_10354` `unswap-sqr_binary64_10276`
9×	`cube-unmult_binary64_10345` `swap-sqr_binary64_10275` `associate-+r+_binary64_10240`
8×	`unpow3_binary64_10374` `/-rgt-identity_binary64_10299` `*-lft-identity_binary64_10297` `distribute-rgt-out_binary64_10261` `distribute-lft-out_binary64_10259`
6×	`cube-mult_binary64_10338` `mul-1-neg_binary64_10300`
5×	`log-rec_binary64_10396` `exp-diff_binary64_10356` `distribute-rgt-out--_binary64_10262` `distribute-lft-out--_binary64_10260`
4×	`sqr-neg_binary64_10322` `difference-of-squares_binary64_10277` `distribute-rgt1-in_binary64_10264`
3×	`unpow1/2_binary64_10372` `exp-neg_binary64_10355`
2×	`unpow2_binary64_10373` `pow-plus_binary64_10371` `unpow1_binary64_10366` `rem-sqrt-square_binary64_10321` `associate--r-_binary64_10247`
1×	`1-exp_binary64_10352` `exp-1-e_binary64_10351` `cube-neg_binary64_10335` `remove-double-neg_binary64_10296` `div0_binary64_10289` `*-inverses_binary64_10288` `pow-sqr_binary64_10281` `associate-+l-_binary64_10243` `associate-+r-_binary64_10242`
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_10571` `erf-erfc_binary64_10570` `erf-odd_binary64_10569` `if-if-and-not_binary64_10568` `if-if-and_binary64_10567` `if-if-or-not_binary64_10566` `if-if-or_binary64_10565` `if-not_binary64_10564` `if-same_binary64_10563` `if-false_binary64_10562` `if-true_binary64_10561` `not-gte_binary64_10560` `not-lte_binary64_10559` `not-gt_binary64_10558` `not-lt_binary64_10557` `gte-same_binary64_10556` `lte-same_binary64_10555` `gt-same_binary64_10554` `lt-same_binary64_10553` `sinh---cosh_binary64_10500` `sinh-+-cosh_binary64_10499` `sinh-cosh_binary64_10498` `tanh-def-c_binary64_10497` `tanh-def-b_binary64_10496` `tanh-def-a_binary64_10495` `cosh-def_binary64_10494` `sinh-def_binary64_10493` `tan-neg_binary64_10440` `cos-neg_binary64_10439` `sin-neg_binary64_10438` `tan-0_binary64_10437` `cos-0_binary64_10436` `sin-0_binary64_10435` `hang-m-tan_binary64_10434` `hang-p-tan_binary64_10433` `hang-m0-tan_binary64_10432` `hang-p0-tan_binary64_10431` `hang-0m-tan_binary64_10430` `hang-0p-tan_binary64_10429` `tan-+PI/2_binary64_10428` `tan-+PI_binary64_10427` `tan-PI_binary64_10426` `tan-PI/3_binary64_10425` `tan-PI/4_binary64_10424` `tan-PI/6_binary64_10423` `cos-+PI/2_binary64_10422` `cos-+PI_binary64_10421` `cos-PI_binary64_10420` `cos-PI/2_binary64_10419` `cos-PI/3_binary64_10418` `cos-PI/4_binary64_10417` `cos-PI/6_binary64_10416` `sin-+PI/2_binary64_10415` `sin-+PI_binary64_10414` `sin-PI_binary64_10413` `sin-PI/2_binary64_10412` `sin-PI/3_binary64_10411` `sin-PI/4_binary64_10410` `sin-PI/6_binary64_10409` `sub-1-sin_binary64_10408` `sub-1-cos_binary64_10407` `-1-add-sin_binary64_10406` `-1-add-cos_binary64_10405` `1-sub-sin_binary64_10404` `1-sub-cos_binary64_10403` `cos-sin-sum_binary64_10402` `log-E_binary64_10398` `log-pow_binary64_10397` `pow-base-0_binary64_10392` `unpow1/3_binary64_10375` `exp-to-pow_binary64_10370` `pow-base-1_binary64_10368` `unpow0_binary64_10367` `unpow-1_binary64_10365` `exp-lft-cube_binary64_10364` `exp-lft-sqr_binary64_10363` `exp-cbrt_binary64_10362` `exp-sqrt_binary64_10361` `div-exp_binary64_10359` `rec-exp_binary64_10358` `prod-exp_binary64_10357` `e-exp-1_binary64_10353` `exp-0_binary64_10350` `rem-log-exp_binary64_10349` `rem-exp-log_binary64_10348` `rem-3cbrt-rft_binary64_10334` `rem-3cbrt-lft_binary64_10333` `rem-cbrt-cube_binary64_10332` `rem-cube-cbrt_binary64_10331` `sqr-abs_binary64_10323` `rem-square-sqrt_binary64_10320` `sub0-neg_binary64_10295` `--rgt-identity_binary64_10294` `+-rgt-identity_binary64_10293` `+-lft-identity_binary64_10292` `mul0-rgt_binary64_10291` `mul0-lft_binary64_10290` `+-inverses_binary64_10287` `lft-mult-inverse_binary64_10286` `rgt-mult-inverse_binary64_10285` `remove-double-div_binary64_10284` `difference-of-sqr--1_binary64_10279` `difference-of-sqr-1_binary64_10278` `cancel-sign-sub_binary64_10273` `distribute-frac-neg_binary64_10271` `distribute-neg-out_binary64_10270` `distribute-lft1-in_binary64_10263` `count-2_binary64_10256` `associate--l-_binary64_10246`

Counts

145 → 95

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	209	2765
1	550	2630
2	1446	2423
3	4568	2423
4	5406	2423

prune86.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	90	5	95
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	90	6	96

Error

0.0b

Counts

96 → 6

Compiler

Compiled 1652 to 375 computations (77.3% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 x y))
0.5b	(cbrt.f64 (-.f64 x y))
0.5b	(cbrt.f64 (-.f64 x y))
6.4b	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y))) 1) (*.f64 t (/.f64 (cbrt.f64 (-.f64 x y)) (-.f64 z y))))

rewrite154.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

61×	`add-exp-log_binary64_10346`
31×	`prod-exp_binary64_10357` `add-cbrt-cube_binary64_10344`
18×	`cbrt-unprod_binary64_10341`
17×	`div-exp_binary64_10359`
15×	`add-sqr-sqrt_binary64_10330` `*-un-lft-identity_binary64_10308` `cbrt-prod_binary64_10339`
9×	`pow1_binary64_10369` `add-cube-cbrt_binary64_10343` `cbrt-undiv_binary64_10342`
7×	`associate-l_binary64_10249`
6×	`1-exp_binary64_10352` `cbrt-div_binary64_10340`
4×	`add-log-exp_binary64_10347`
3×	`pow-prod-down_binary64_10379` `associate-*r/_binary64_10250` `times-frac_binary64_10314` `pow1/3_binary64_10390` `flip3--_binary64_10312` `flip--_binary64_10283` `difference-of-squares_binary64_10277` `distribute-lft-out--_binary64_10260`
1×	`frac-times_binary64_10318` `associate-l/_binary64_10251` `div-inv_binary64_10305` `associate-r_binary64_10248` `-commutative_binary64_10239`

Counts

4 → 90

Calls

4 calls:

25.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y))) 1) (*.f64 t (/.f64 (cbrt.f64 (-.f64 x y)) (-.f64 z y))))
4.0ms	(cbrt.f64 (-.f64 x y))
3.0ms	(cbrt.f64 (-.f64 x y))
3.0ms	(cbrt.f64 (-.f64 x y))

Compiler

Compiled 2867 to 605 computations (78.9% saved)

series784.0ms (10.1%)

Error

0.0b

Counts

4 → 47

Calls

4 calls:

442.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y))) 1) (*.f64 t (/.f64 (cbrt.f64 (-.f64 x y)) (-.f64 z y))))
103.0ms	(cbrt.f64 (-.f64 x y))
98.0ms	(cbrt.f64 (-.f64 x y))
95.0ms	(cbrt.f64 (-.f64 x y))

Compiler

Compiled 3064 to 1984 computations (35.2% saved)

simplify108.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

705×	`associate-/l*_binary64_10253`
618×	`times-frac_binary64_10314`
186×	`associate-/r/_binary64_10254`
180×	`associate-/l/_binary64_10255`
159×	`log-div_binary64_10395`
156×	`associate-l_binary64_10249`
152×	`associate-r_binary64_10248`
142×	`cube-div_binary64_10337`
134×	`log-prod_binary64_10394`
118×	`sub-neg_binary64_10301`
113×	`distribute-rgt-in_binary64_10258`
112×	`cancel-sign-sub-inv_binary64_10274`
107×	`exp-prod_binary64_10360`
102×	`distribute-lft-in_binary64_10257`
82×	`*-commutative_binary64_10239`
72×	`associate-*l/_binary64_10251`
56×	`associate-*r/_binary64_10250`
55×	`associate-/r*_binary64_10252`
54×	`distribute-rgt-neg-in_binary64_10266`
50×	`distribute-lft-neg-in_binary64_10265`
48×	`sqr-pow_binary64_10280`
44×	`+-commutative_binary64_10238`
39×	`div-sub_binary64_10313`
30×	`neg-sub0_binary64_10303` `distribute-neg-frac_binary64_10272` `associate--l+_binary64_10245`
28×	`swap-sqr_binary64_10275`
26×	`unswap-sqr_binary64_10276`
24×	`cube-prod_binary64_10336`
22×	`neg-mul-1_binary64_10304`
21×	`log-rec_binary64_10396` `associate-+l+_binary64_10241`
20×	`exp-sum_binary64_10354`
19×	`unpow3_binary64_10374` `associate-+l-_binary64_10243`
17×	`distribute-neg-in_binary64_10269`
16×	`associate--r+_binary64_10244`
15×	`*-lft-identity_binary64_10297` `associate-+r+_binary64_10240`
14×	`cube-mult_binary64_10338` `unsub-neg_binary64_10302` `/-rgt-identity_binary64_10299`
12×	`mul-1-neg_binary64_10300`
11×	`*-rgt-identity_binary64_10298` `distribute-rgt-neg-out_binary64_10268` `distribute-lft-out_binary64_10259`
10×	`exp-diff_binary64_10356` `cube-unmult_binary64_10345`
9×	`distribute-lft-neg-out_binary64_10267`
8×	`distribute-rgt-out_binary64_10261`
7×	`associate--l-_binary64_10246`
6×	`distribute-rgt-out--_binary64_10262`
5×	`unpow1/3_binary64_10375` `sub0-neg_binary64_10295` `difference-of-squares_binary64_10277` `distribute-lft-out--_binary64_10260`
4×	`pow-plus_binary64_10371` `exp-neg_binary64_10355` `--rgt-identity_binary64_10294` `+-lft-identity_binary64_10292` `associate-+r-_binary64_10242`
3×	`log-pow_binary64_10397` `unpow2_binary64_10373` `unpow1/2_binary64_10372` `unpow1_binary64_10366` `rem-exp-log_binary64_10348` `rem-sqrt-square_binary64_10321` `remove-double-neg_binary64_10296` `pow-sqr_binary64_10281` `distribute-frac-neg_binary64_10271` `distribute-neg-out_binary64_10270` `count-2_binary64_10256` `associate--r-_binary64_10247`
2×	`exp-to-pow_binary64_10370`
1×	`1-exp_binary64_10352` `exp-1-e_binary64_10351` `rem-3cbrt-lft_binary64_10333` `rem-cube-cbrt_binary64_10331` `*-inverses_binary64_10288`
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_10571` `erf-erfc_binary64_10570` `erf-odd_binary64_10569` `if-if-and-not_binary64_10568` `if-if-and_binary64_10567` `if-if-or-not_binary64_10566` `if-if-or_binary64_10565` `if-not_binary64_10564` `if-same_binary64_10563` `if-false_binary64_10562` `if-true_binary64_10561` `not-gte_binary64_10560` `not-lte_binary64_10559` `not-gt_binary64_10558` `not-lt_binary64_10557` `gte-same_binary64_10556` `lte-same_binary64_10555` `gt-same_binary64_10554` `lt-same_binary64_10553` `sinh---cosh_binary64_10500` `sinh-+-cosh_binary64_10499` `sinh-cosh_binary64_10498` `tanh-def-c_binary64_10497` `tanh-def-b_binary64_10496` `tanh-def-a_binary64_10495` `cosh-def_binary64_10494` `sinh-def_binary64_10493` `tan-neg_binary64_10440` `cos-neg_binary64_10439` `sin-neg_binary64_10438` `tan-0_binary64_10437` `cos-0_binary64_10436` `sin-0_binary64_10435` `hang-m-tan_binary64_10434` `hang-p-tan_binary64_10433` `hang-m0-tan_binary64_10432` `hang-p0-tan_binary64_10431` `hang-0m-tan_binary64_10430` `hang-0p-tan_binary64_10429` `tan-+PI/2_binary64_10428` `tan-+PI_binary64_10427` `tan-PI_binary64_10426` `tan-PI/3_binary64_10425` `tan-PI/4_binary64_10424` `tan-PI/6_binary64_10423` `cos-+PI/2_binary64_10422` `cos-+PI_binary64_10421` `cos-PI_binary64_10420` `cos-PI/2_binary64_10419` `cos-PI/3_binary64_10418` `cos-PI/4_binary64_10417` `cos-PI/6_binary64_10416` `sin-+PI/2_binary64_10415` `sin-+PI_binary64_10414` `sin-PI_binary64_10413` `sin-PI/2_binary64_10412` `sin-PI/3_binary64_10411` `sin-PI/4_binary64_10410` `sin-PI/6_binary64_10409` `sub-1-sin_binary64_10408` `sub-1-cos_binary64_10407` `-1-add-sin_binary64_10406` `-1-add-cos_binary64_10405` `1-sub-sin_binary64_10404` `1-sub-cos_binary64_10403` `cos-sin-sum_binary64_10402` `log-E_binary64_10398` `pow-base-0_binary64_10392` `pow-base-1_binary64_10368` `unpow0_binary64_10367` `unpow-1_binary64_10365` `exp-lft-cube_binary64_10364` `exp-lft-sqr_binary64_10363` `exp-cbrt_binary64_10362` `exp-sqrt_binary64_10361` `div-exp_binary64_10359` `rec-exp_binary64_10358` `prod-exp_binary64_10357` `e-exp-1_binary64_10353` `exp-0_binary64_10350` `rem-log-exp_binary64_10349` `cube-neg_binary64_10335` `rem-3cbrt-rft_binary64_10334` `rem-cbrt-cube_binary64_10332` `sqr-abs_binary64_10323` `sqr-neg_binary64_10322` `rem-square-sqrt_binary64_10320` `+-rgt-identity_binary64_10293` `mul0-rgt_binary64_10291` `mul0-lft_binary64_10290` `div0_binary64_10289` `+-inverses_binary64_10287` `lft-mult-inverse_binary64_10286` `rgt-mult-inverse_binary64_10285` `remove-double-div_binary64_10284` `difference-of-sqr--1_binary64_10279` `difference-of-sqr-1_binary64_10278` `cancel-sign-sub_binary64_10273` `distribute-rgt1-in_binary64_10264` `distribute-lft1-in_binary64_10263`

Counts

137 → 92

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	3050
1	461	2028
2	1560	1866
3	4518	1866
4	5009	1866

prune78.0ms (1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	92	6	98

Error

0.0b

Counts

98 → 6

Compiler

Compiled 1722 to 390 computations (77.4% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 t (-.f64 z y))
9.5b	(*.f64 (-.f64 x y) (/.f64 t (-.f64 z y)))

rewrite102.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

43×	`add-sqr-sqrt_binary64_10330`
38×	`*-un-lft-identity_binary64_10308`
31×	`times-frac_binary64_10314`
22×	`add-cube-cbrt_binary64_10343`
21×	`associate-r_binary64_10248`
9×	`add-exp-log_binary64_10346` `add-cbrt-cube_binary64_10344`
8×	`difference-of-squares_binary64_10277` `distribute-lft-out--_binary64_10260`
5×	`associate-l_binary64_10249` `associate-/r*_binary64_10252`
4×	`pow1_binary64_10369` `flip3--_binary64_10312` `flip--_binary64_10283` `associate-/r/_binary64_10254`
3×	`associate-/l*_binary64_10253`
2×	`div-exp_binary64_10359` `prod-exp_binary64_10357` `add-log-exp_binary64_10347` `cbrt-unprod_binary64_10341` `cbrt-undiv_binary64_10342` `frac-times_binary64_10318` `unswap-sqr_binary64_10276` `associate-*l/_binary64_10251` `div-inv_binary64_10305`
1×	`pow-prod-down_binary64_10379` `associate-r/_binary64_10250` `-commutative_binary64_10239` `frac-2neg_binary64_10319` `clear-num_binary64_10307`

Counts

2 → 83

Calls

2 calls:

16.0ms	(*.f64 (-.f64 x y) (/.f64 t (-.f64 z y)))
8.0ms	(/.f64 t (-.f64 z y))

Compiler

Compiled 1456 to 322 computations (77.9% saved)

series522.0ms (6.7%)

Error

0.0b

Counts

2 → 38

Calls

2 calls:

368.0ms	(*.f64 (-.f64 x y) (/.f64 t (-.f64 z y)))
127.0ms	(/.f64 t (-.f64 z y))

Compiler

Compiled 1538 to 945 computations (38.6% saved)

simplify98.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

412×	`associate-/l*_binary64_10253`
357×	`associate-*l/_binary64_10251`
333×	`associate-*r/_binary64_10250`
292×	`div-sub_binary64_10313`
282×	`distribute-rgt-in_binary64_10258`
273×	`distribute-lft-in_binary64_10257`
251×	`times-frac_binary64_10314`
172×	`associate-/r*_binary64_10252`
140×	`associate-/l/_binary64_10255`
126×	`associate-/r/_binary64_10254`
93×	`cancel-sign-sub-inv_binary64_10274`
85×	`associate-l_binary64_10249`
76×	`sub-neg_binary64_10301`
72×	`associate-r_binary64_10248`
67×	`*-commutative_binary64_10239`
47×	`*-rgt-identity_binary64_10298`
40×	`+-commutative_binary64_10238`
34×	`exp-prod_binary64_10360`
32×	`distribute-rgt-neg-out_binary64_10268` `distribute-lft-neg-out_binary64_10267`
31×	`distribute-neg-frac_binary64_10272`
30×	`distribute-rgt-neg-in_binary64_10266`
28×	`neg-sub0_binary64_10303` `distribute-lft-neg-in_binary64_10265`
27×	`sqr-pow_binary64_10280`
26×	`cube-prod_binary64_10336`
23×	`log-prod_binary64_10394` `neg-mul-1_binary64_10304` `*-lft-identity_binary64_10297`
21×	`log-div_binary64_10395`
20×	`associate--l+_binary64_10245`
19×	`cube-div_binary64_10337`
14×	`associate--r+_binary64_10244`
12×	`unsub-neg_binary64_10302`
11×	`exp-sum_binary64_10354` `distribute-neg-in_binary64_10269`
10×	`/-rgt-identity_binary64_10299` `associate-+l+_binary64_10241`
8×	`unpow3_binary64_10374` `distribute-lft-out_binary64_10259`
7×	`cube-unmult_binary64_10345` `difference-of-squares_binary64_10277` `unswap-sqr_binary64_10276`
6×	`exp-diff_binary64_10356` `mul-1-neg_binary64_10300`
5×	`cube-mult_binary64_10338` `distribute-lft-out--_binary64_10260`
4×	`swap-sqr_binary64_10275` `distribute-rgt-out--_binary64_10262` `distribute-rgt-out_binary64_10261` `associate-+r+_binary64_10240`
3×	`log-rec_binary64_10396` `unpow1/2_binary64_10372`
2×	`unpow2_binary64_10373` `pow-plus_binary64_10371` `unpow1_binary64_10366` `rem-sqrt-square_binary64_10321` `distribute-rgt1-in_binary64_10264`
1×	`exp-neg_binary64_10355` `1-exp_binary64_10352` `exp-1-e_binary64_10351` `cube-neg_binary64_10335` `sqr-neg_binary64_10322` `remove-double-neg_binary64_10296` `div0_binary64_10289` `*-inverses_binary64_10288` `pow-sqr_binary64_10281` `associate--r-_binary64_10247` `associate-+l-_binary64_10243` `associate-+r-_binary64_10242`
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_10571` `erf-erfc_binary64_10570` `erf-odd_binary64_10569` `if-if-and-not_binary64_10568` `if-if-and_binary64_10567` `if-if-or-not_binary64_10566` `if-if-or_binary64_10565` `if-not_binary64_10564` `if-same_binary64_10563` `if-false_binary64_10562` `if-true_binary64_10561` `not-gte_binary64_10560` `not-lte_binary64_10559` `not-gt_binary64_10558` `not-lt_binary64_10557` `gte-same_binary64_10556` `lte-same_binary64_10555` `gt-same_binary64_10554` `lt-same_binary64_10553` `sinh---cosh_binary64_10500` `sinh-+-cosh_binary64_10499` `sinh-cosh_binary64_10498` `tanh-def-c_binary64_10497` `tanh-def-b_binary64_10496` `tanh-def-a_binary64_10495` `cosh-def_binary64_10494` `sinh-def_binary64_10493` `tan-neg_binary64_10440` `cos-neg_binary64_10439` `sin-neg_binary64_10438` `tan-0_binary64_10437` `cos-0_binary64_10436` `sin-0_binary64_10435` `hang-m-tan_binary64_10434` `hang-p-tan_binary64_10433` `hang-m0-tan_binary64_10432` `hang-p0-tan_binary64_10431` `hang-0m-tan_binary64_10430` `hang-0p-tan_binary64_10429` `tan-+PI/2_binary64_10428` `tan-+PI_binary64_10427` `tan-PI_binary64_10426` `tan-PI/3_binary64_10425` `tan-PI/4_binary64_10424` `tan-PI/6_binary64_10423` `cos-+PI/2_binary64_10422` `cos-+PI_binary64_10421` `cos-PI_binary64_10420` `cos-PI/2_binary64_10419` `cos-PI/3_binary64_10418` `cos-PI/4_binary64_10417` `cos-PI/6_binary64_10416` `sin-+PI/2_binary64_10415` `sin-+PI_binary64_10414` `sin-PI_binary64_10413` `sin-PI/2_binary64_10412` `sin-PI/3_binary64_10411` `sin-PI/4_binary64_10410` `sin-PI/6_binary64_10409` `sub-1-sin_binary64_10408` `sub-1-cos_binary64_10407` `-1-add-sin_binary64_10406` `-1-add-cos_binary64_10405` `1-sub-sin_binary64_10404` `1-sub-cos_binary64_10403` `cos-sin-sum_binary64_10402` `log-E_binary64_10398` `log-pow_binary64_10397` `pow-base-0_binary64_10392` `unpow1/3_binary64_10375` `exp-to-pow_binary64_10370` `pow-base-1_binary64_10368` `unpow0_binary64_10367` `unpow-1_binary64_10365` `exp-lft-cube_binary64_10364` `exp-lft-sqr_binary64_10363` `exp-cbrt_binary64_10362` `exp-sqrt_binary64_10361` `div-exp_binary64_10359` `rec-exp_binary64_10358` `prod-exp_binary64_10357` `e-exp-1_binary64_10353` `exp-0_binary64_10350` `rem-log-exp_binary64_10349` `rem-exp-log_binary64_10348` `rem-3cbrt-rft_binary64_10334` `rem-3cbrt-lft_binary64_10333` `rem-cbrt-cube_binary64_10332` `rem-cube-cbrt_binary64_10331` `sqr-abs_binary64_10323` `rem-square-sqrt_binary64_10320` `sub0-neg_binary64_10295` `--rgt-identity_binary64_10294` `+-rgt-identity_binary64_10293` `+-lft-identity_binary64_10292` `mul0-rgt_binary64_10291` `mul0-lft_binary64_10290` `+-inverses_binary64_10287` `lft-mult-inverse_binary64_10286` `rgt-mult-inverse_binary64_10285` `remove-double-div_binary64_10284` `difference-of-sqr--1_binary64_10279` `difference-of-sqr-1_binary64_10278` `cancel-sign-sub_binary64_10273` `distribute-frac-neg_binary64_10271` `distribute-neg-out_binary64_10270` `distribute-lft1-in_binary64_10263` `count-2_binary64_10256` `associate--l-_binary64_10246`

Counts

121 → 73

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	177	2077
1	436	1966
2	1479	1789
3	4474	1789
4	5195	1789

prune53.0ms (0.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	2	1	3
Picked	0	1	1
Done	0	2	2
Total	73	6	79

Error

0.0b

Counts

79 → 6

Compiler

Compiled 1092 to 244 computations (77.7% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
10.7b	(.f64 (.f64 (-.f64 x y) (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (cbrt.f64 t) (-.f64 z y)))

rewrite127.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`add-sqr-sqrt_binary64_10330` `-un-lft-identity_binary64_10308` `associate-r*_binary64_10248`
30×	`times-frac_binary64_10314`
25×	`add-exp-log_binary64_10346`
24×	`add-cube-cbrt_binary64_10343` `cbrt-prod_binary64_10339`
18×	`add-cbrt-cube_binary64_10344`
13×	`pow1_binary64_10369`
12×	`prod-exp_binary64_10357` `cbrt-unprod_binary64_10341`
6×	`pow-prod-down_binary64_10379` `associate-*l/_binary64_10251` `difference-of-squares_binary64_10277` `distribute-lft-out--_binary64_10260`
4×	`add-log-exp_binary64_10347`
3×	`div-exp_binary64_10359` `cbrt-undiv_binary64_10342` `flip3--_binary64_10312` `flip--_binary64_10283` `pow1/3_binary64_10390`
2×	`frac-times_binary64_10318` `associate-/r/_binary64_10254`
1×	`associate-r/_binary64_10250` `associate-l_binary64_10249` `div-inv_binary64_10305` `-commutative_binary64_10239`

Counts

4 → 98

Calls

4 calls:

23.0ms	(.f64 (.f64 (-.f64 x y) (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (cbrt.f64 t) (-.f64 z y)))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

Compiler

Compiled 2435 to 413 computations (83% saved)

series782.0ms (10.1%)

Error

0.0b

Counts

4 → 32

Calls

4 calls:

405.0ms	(.f64 (.f64 (-.f64 x y) (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (cbrt.f64 t) (-.f64 z y)))
125.0ms	(cbrt.f64 t)
118.0ms	(cbrt.f64 t)
109.0ms	(cbrt.f64 t)

Compiler

Compiled 1547 to 958 computations (38.1% saved)

simplify80.0ms (1%)

Algorithm

1×	egg-herbie

Rules

877×	`times-frac_binary64_10314`
463×	`distribute-rgt-in_binary64_10258`
383×	`associate-l_binary64_10249`
310×	`associate-r_binary64_10248`
181×	`associate-/l*_binary64_10253`
165×	`*-commutative_binary64_10239`
110×	`associate-*r/_binary64_10250`
105×	`unswap-sqr_binary64_10276`
88×	`cancel-sign-sub-inv_binary64_10274`
72×	`div-sub_binary64_10313`
64×	`sub-neg_binary64_10301`
56×	`distribute-rgt-neg-in_binary64_10266`
54×	`log-prod_binary64_10394`
52×	`distribute-lft-neg-in_binary64_10265`
43×	`sqr-pow_binary64_10280`
42×	`+-commutative_binary64_10238`
40×	`associate-/l/_binary64_10255`
39×	`distribute-neg-frac_binary64_10272`
37×	`*-rgt-identity_binary64_10298`
36×	`exp-prod_binary64_10360`
35×	`*-lft-identity_binary64_10297`
34×	`associate-*l/_binary64_10251`
33×	`associate-/r*_binary64_10252`
25×	`cube-prod_binary64_10336`
22×	`neg-sub0_binary64_10303`
21×	`associate-+l+_binary64_10241`
20×	`swap-sqr_binary64_10275` `distribute-lft-in_binary64_10257` `associate--l+_binary64_10245`
18×	`associate-/r/_binary64_10254`
16×	`distribute-lft-neg-out_binary64_10267`
15×	`distribute-rgt-neg-out_binary64_10268`
14×	`neg-mul-1_binary64_10304`
13×	`log-div_binary64_10395`
12×	`mul-1-neg_binary64_10300` `associate--r+_binary64_10244`
9×	`unsub-neg_binary64_10302` `/-rgt-identity_binary64_10299` `distribute-lft-out_binary64_10259` `associate-+r+_binary64_10240`
8×	`cube-unmult_binary64_10345` `cube-div_binary64_10337`
7×	`difference-of-squares_binary64_10277` `distribute-neg-in_binary64_10269`
5×	`rem-sqrt-square_binary64_10321` `distribute-lft-out--_binary64_10260`
4×	`log-pow_binary64_10397` `unpow3_binary64_10374` `pow-plus_binary64_10371` `exp-sum_binary64_10354` `cube-mult_binary64_10338` `distribute-rgt-out_binary64_10261` `associate-+r-_binary64_10242`
3×	`pow-sqr_binary64_10281`
2×	`unpow1/3_binary64_10375` `unpow2_binary64_10373` `unpow1/2_binary64_10372` `unpow1_binary64_10366`
1×	`exp-diff_binary64_10356` `1-exp_binary64_10352` `exp-1-e_binary64_10351` `rem-3cbrt-lft_binary64_10333` `rem-cube-cbrt_binary64_10331` `remove-double-neg_binary64_10296` `*-inverses_binary64_10288` `distribute-frac-neg_binary64_10271` `distribute-rgt-out--_binary64_10262` `count-2_binary64_10256` `associate-+l-_binary64_10243`
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_10571` `erf-erfc_binary64_10570` `erf-odd_binary64_10569` `if-if-and-not_binary64_10568` `if-if-and_binary64_10567` `if-if-or-not_binary64_10566` `if-if-or_binary64_10565` `if-not_binary64_10564` `if-same_binary64_10563` `if-false_binary64_10562` `if-true_binary64_10561` `not-gte_binary64_10560` `not-lte_binary64_10559` `not-gt_binary64_10558` `not-lt_binary64_10557` `gte-same_binary64_10556` `lte-same_binary64_10555` `gt-same_binary64_10554` `lt-same_binary64_10553` `sinh---cosh_binary64_10500` `sinh-+-cosh_binary64_10499` `sinh-cosh_binary64_10498` `tanh-def-c_binary64_10497` `tanh-def-b_binary64_10496` `tanh-def-a_binary64_10495` `cosh-def_binary64_10494` `sinh-def_binary64_10493` `tan-neg_binary64_10440` `cos-neg_binary64_10439` `sin-neg_binary64_10438` `tan-0_binary64_10437` `cos-0_binary64_10436` `sin-0_binary64_10435` `hang-m-tan_binary64_10434` `hang-p-tan_binary64_10433` `hang-m0-tan_binary64_10432` `hang-p0-tan_binary64_10431` `hang-0m-tan_binary64_10430` `hang-0p-tan_binary64_10429` `tan-+PI/2_binary64_10428` `tan-+PI_binary64_10427` `tan-PI_binary64_10426` `tan-PI/3_binary64_10425` `tan-PI/4_binary64_10424` `tan-PI/6_binary64_10423` `cos-+PI/2_binary64_10422` `cos-+PI_binary64_10421` `cos-PI_binary64_10420` `cos-PI/2_binary64_10419` `cos-PI/3_binary64_10418` `cos-PI/4_binary64_10417` `cos-PI/6_binary64_10416` `sin-+PI/2_binary64_10415` `sin-+PI_binary64_10414` `sin-PI_binary64_10413` `sin-PI/2_binary64_10412` `sin-PI/3_binary64_10411` `sin-PI/4_binary64_10410` `sin-PI/6_binary64_10409` `sub-1-sin_binary64_10408` `sub-1-cos_binary64_10407` `-1-add-sin_binary64_10406` `-1-add-cos_binary64_10405` `1-sub-sin_binary64_10404` `1-sub-cos_binary64_10403` `cos-sin-sum_binary64_10402` `log-E_binary64_10398` `log-rec_binary64_10396` `pow-base-0_binary64_10392` `exp-to-pow_binary64_10370` `pow-base-1_binary64_10368` `unpow0_binary64_10367` `unpow-1_binary64_10365` `exp-lft-cube_binary64_10364` `exp-lft-sqr_binary64_10363` `exp-cbrt_binary64_10362` `exp-sqrt_binary64_10361` `div-exp_binary64_10359` `rec-exp_binary64_10358` `prod-exp_binary64_10357` `exp-neg_binary64_10355` `e-exp-1_binary64_10353` `exp-0_binary64_10350` `rem-log-exp_binary64_10349` `rem-exp-log_binary64_10348` `cube-neg_binary64_10335` `rem-3cbrt-rft_binary64_10334` `rem-cbrt-cube_binary64_10332` `sqr-abs_binary64_10323` `sqr-neg_binary64_10322` `rem-square-sqrt_binary64_10320` `sub0-neg_binary64_10295` `--rgt-identity_binary64_10294` `+-rgt-identity_binary64_10293` `+-lft-identity_binary64_10292` `mul0-rgt_binary64_10291` `mul0-lft_binary64_10290` `div0_binary64_10289` `+-inverses_binary64_10287` `lft-mult-inverse_binary64_10286` `rgt-mult-inverse_binary64_10285` `remove-double-div_binary64_10284` `difference-of-sqr--1_binary64_10279` `difference-of-sqr-1_binary64_10278` `cancel-sign-sub_binary64_10273` `distribute-neg-out_binary64_10270` `distribute-rgt1-in_binary64_10264` `distribute-lft1-in_binary64_10263` `associate--r-_binary64_10247` `associate--l-_binary64_10246`

Counts

130 → 93

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	204	2399
1	575	2046
2	2457	1893
3	5412	1893

prune78.0ms (1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	93	6	99

Error

0.0b

Counts

99 → 6

Compiler

Compiled 1679 to 403 computations (76% saved)

regimes865.0ms (11.2%)

Accuracy

Total 1.0b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 8234 to 5620 computations (31.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`sub-neg_binary64_10301` `*-commutative_binary64_10239` `+-commutative_binary64_10238`
1×	`neg-mul-1_binary64_10304` `neg-sub0_binary64_10303`
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_10568` `if-if-and_binary64_10567` `if-if-or-not_binary64_10566` `if-if-or_binary64_10565` `if-not_binary64_10564` `if-same_binary64_10563` `if-false_binary64_10562` `if-true_binary64_10561` `tan-0_binary64_10437` `cos-0_binary64_10436` `sin-0_binary64_10435` `unpow1_binary64_10366` `e-exp-1_binary64_10353` `1-exp_binary64_10352` `exp-1-e_binary64_10351` `exp-0_binary64_10350` `sqr-abs_binary64_10323` `sqr-neg_binary64_10322` `unsub-neg_binary64_10302` `mul-1-neg_binary64_10300` `/-rgt-identity_binary64_10299` `-rgt-identity_binary64_10298` `-lft-identity_binary64_10297` `remove-double-neg_binary64_10296` `sub0-neg_binary64_10295` `--rgt-identity_binary64_10294` `+-rgt-identity_binary64_10293` `+-lft-identity_binary64_10292` `cancel-sign-sub-inv_binary64_10274` `cancel-sign-sub_binary64_10273` `distribute-neg-frac_binary64_10272` `distribute-frac-neg_binary64_10271` `distribute-neg-out_binary64_10270` `distribute-neg-in_binary64_10269` `distribute-rgt-neg-out_binary64_10268` `distribute-lft-neg-out_binary64_10267` `distribute-rgt-neg-in_binary64_10266` `distribute-lft-neg-in_binary64_10265`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	49
1	20	49
2	26	49
3	28	49
4	29	49
5	29	49

end0.0ms (0%)

sample1.8s (23.8%)

Algorithm

1×

intervals

Results

446.0ms	8000×	body	128	valid
18.0ms	630×	body	128	invalid

Compiler

Compiled 1344 to 919 computations (31.6% saved)

Details

analyze795.0ms (10.3%)

sample20.0ms (0.3%)

simplify263.0ms (3.4%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite133.0ms (1.7%)

series612.0ms (7.9%)

simplify115.0ms (1.5%)

prune86.0ms (1.1%)

localize14.0ms (0.2%)

rewrite154.0ms (2%)

series784.0ms (10.1%)

simplify108.0ms (1.4%)

prune78.0ms (1%)

localize6.0ms (0.1%)

rewrite102.0ms (1.3%)

series522.0ms (6.7%)

simplify98.0ms (1.3%)

prune53.0ms (0.7%)

localize12.0ms (0.2%)

rewrite127.0ms (1.6%)

series782.0ms (10.1%)

simplify80.0ms (1%)

prune78.0ms (1%)

regimes865.0ms (11.2%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.8s (23.8%)

Profiling