Details

analyze469.0ms (5.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

1202×	`div-sub_binary64_10313`
985×	`sub-neg_binary64_10301`
724×	`unsub-neg_binary64_10302`
722×	`times-frac_binary64_10314`
453×	`*-commutative_binary64_10239`
396×	`associate-/l*_binary64_10253`
315×	`cancel-sign-sub-inv_binary64_10274`
299×	`neg-mul-1_binary64_10304`
295×	`distribute-lft-neg-in_binary64_10265`
293×	`neg-sub0_binary64_10303`
283×	`distribute-rgt-in_binary64_10258`
265×	`associate--r+_binary64_10244`
262×	`distribute-neg-in_binary64_10269`
244×	`distribute-lft-in_binary64_10257`
240×	`associate-+r+_binary64_10240`
236×	`associate--l+_binary64_10245`
228×	`associate-+l+_binary64_10241`
202×	`distribute-rgt-neg-in_binary64_10266`
182×	`distribute-frac-neg_binary64_10271`
162×	`associate-/r*_binary64_10252`
160×	`distribute-neg-frac_binary64_10272`
153×	`distribute-rgt-neg-out_binary64_10268`
120×	`associate--r-_binary64_10247`
118×	`distribute-lft-neg-out_binary64_10267`
114×	`+-commutative_binary64_10238`
112×	`+-rgt-identity_binary64_10293`
96×	`associate-+l-_binary64_10243`
90×	`*-lft-identity_binary64_10297` `associate--l-_binary64_10246`
86×	`remove-double-neg_binary64_10296`
85×	`associate-r_binary64_10248`
80×	`/-rgt-identity_binary64_10299`
78×	`--rgt-identity_binary64_10294`
74×	`associate-+r-_binary64_10242`
60×	`associate-l_binary64_10249`
46×	`associate-/l/_binary64_10255` `associate-/r/_binary64_10254`
44×	`mul0-rgt_binary64_10291` `mul0-lft_binary64_10290`
38×	`associate-*l/_binary64_10251`
36×	`*-rgt-identity_binary64_10298`
32×	`sub0-neg_binary64_10295` `div0_binary64_10289`
24×	`cancel-sign-sub_binary64_10273`
20×	`mul-1-neg_binary64_10300` `+-lft-identity_binary64_10292` `distribute-rgt-out--_binary64_10262` `distribute-rgt-out_binary64_10261`
10×	`distribute-rgt1-in_binary64_10264`
8×	`associate-*r/_binary64_10250`
6×	`lft-mult-inverse_binary64_10286` `distribute-lft1-in_binary64_10263`
4×	`*-inverses_binary64_10288`
2×	`remove-double-div_binary64_10284` `distribute-neg-out_binary64_10270` `distribute-lft-out--_binary64_10260`
1×	`1-exp_binary64_10352`
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` `+-inverses_binary64_10287` `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-lft-out_binary64_10259` `count-2_binary64_10256`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	32
1	32	32
2	79	32
3	172	32
4	485	32
5	1148	32
6	1917	32
7	2433	32
8	2801	32
9	3063	32
10	2737	32
11	2785	32
12	3493	32
13	3569	32
14	4553	32
15	4473	32
16	4569	32
17	4569	32
18	4569	32
19	4569	32
20	5216	32
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
12.5%	87.4%	0.1%	4
25%	74.9%	0.1%	5
31.2%	68.7%	0.1%	6
67.1%	32.8%	0.1%	7
71%	28.9%	0.1%	8
82.3%	17.6%	0.1%	9
84.9%	15%	0.1%	10
90.8%	9.1%	0.1%	11
92.2%	7.7%	0.1%	12
95.3%	4.6%	0.1%	13
96%	3.9%	0.1%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample24.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	200×	body	128	valid
2.0ms	21×	body	1024	valid
2.0ms	21×	body	512	valid
1.0ms	14×	body	256	valid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify183.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1574×	`distribute-rgt-in_binary64_10258`
1102×	`div-sub_binary64_10313`
756×	`sub-neg_binary64_10301`
664×	`associate-/l*_binary64_10253`
569×	`unsub-neg_binary64_10302`
509×	`associate-/r*_binary64_10252`
485×	`neg-mul-1_binary64_10304`
454×	`neg-sub0_binary64_10303`
407×	`distribute-lft-in_binary64_10257`
400×	`associate-l_binary64_10249`
385×	`associate-r_binary64_10248`
308×	`associate-*l/_binary64_10251`
302×	`associate-/l/_binary64_10255`
295×	`distribute-neg-in_binary64_10269`
282×	`times-frac_binary64_10314`
262×	`associate-/r/_binary64_10254`
248×	`distribute-lft-neg-out_binary64_10267`
217×	`distribute-frac-neg_binary64_10271`
176×	`distribute-rgt-out--_binary64_10262`
174×	`distribute-lft-neg-in_binary64_10265`
171×	`*-commutative_binary64_10239`
162×	`distribute-neg-out_binary64_10270`
159×	`cancel-sign-sub-inv_binary64_10274`
130×	`associate-+l+_binary64_10241`
129×	`distribute-lft-out--_binary64_10260`
122×	`distribute-rgt-neg-in_binary64_10266`
118×	`associate-+l-_binary64_10243`
106×	`distribute-rgt-out_binary64_10261` `associate--l+_binary64_10245`
104×	`associate-+r-_binary64_10242`
98×	`distribute-rgt-neg-out_binary64_10268`
93×	`associate--r+_binary64_10244`
85×	`associate-*r/_binary64_10250`
83×	`associate--l-_binary64_10246`
73×	`remove-double-neg_binary64_10296`
72×	`/-rgt-identity_binary64_10299` `+-commutative_binary64_10238`
71×	`--rgt-identity_binary64_10294`
64×	`distribute-lft-out_binary64_10259`
63×	`associate--r-_binary64_10247`
52×	`distribute-neg-frac_binary64_10272`
40×	`mul0-rgt_binary64_10291`
39×	`mul0-lft_binary64_10290`
38×	`distribute-rgt1-in_binary64_10264`
30×	`div0_binary64_10289`
29×	`distribute-lft1-in_binary64_10263`
25×	`sub0-neg_binary64_10295`
24×	`*-rgt-identity_binary64_10298`
21×	`mul-1-neg_binary64_10300` `*-lft-identity_binary64_10297`
17×	`remove-double-div_binary64_10284`
15×	`associate-+r+_binary64_10240`
9×	`+-lft-identity_binary64_10292`
4×	`*-inverses_binary64_10288` `swap-sqr_binary64_10275`
3×	`+-rgt-identity_binary64_10293` `lft-mult-inverse_binary64_10286` `cancel-sign-sub_binary64_10273`
2×	`sqr-neg_binary64_10322`
1×	`1-exp_binary64_10352`
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` `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` `count-2_binary64_10256`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	19	16
2	43	16
3	98	16
4	256	16
5	565	16
6	972	16
7	1231	16
8	1769	16
9	2294	16
10	2639	16
11	2822	16
12	1409	16
13	1425	16
14	1705	16
15	1573	16
16	1509	16
17	1509	16
18	3701	16
19	4209	16
20	4852	16

prune3.0ms (0%)

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

24.0b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 1 x) y)
2.7b	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
8.5b	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))

rewrite132.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

14.6b

Rules

21×	`*-un-lft-identity_binary64_10308`
17×	`add-sqr-sqrt_binary64_10330`
10×	`add-exp-log_binary64_10346` `add-cbrt-cube_binary64_10344` `cancel-sign-sub-inv_binary64_10274`
9×	`add-cube-cbrt_binary64_10343`
8×	`times-frac_binary64_10314`
6×	`associate-l_binary64_10249`
5×	`pow1_binary64_10369` `add-log-exp_binary64_10347`
4×	`associate-l/_binary64_10251` `associate-/r/_binary64_10254` `associate-/r_binary64_10252` `difference-of-squares_binary64_10277`
3×	`distribute-lft-out_binary64_10259` `flip3--_binary64_10312` `flip--_binary64_10283` `associate-r_binary64_10248`
2×	`prod-exp_binary64_10357` `div-exp_binary64_10359` `cbrt-undiv_binary64_10342` `cbrt-unprod_binary64_10341` `div-inv_binary64_10305` `associate-/l/_binary64_10255` `flip3-+_binary64_10311` `flip-+_binary64_10282` `distribute-lft-out--_binary64_10260`
1×	`frac-2neg_binary64_10319` `clear-num_binary64_10307` `associate-/l_binary64_10253` `diff-log_binary64_10400` `sub-neg_binary64_10301` `pow-prod-down_binary64_10379` `unswap-sqr_binary64_10276` `-commutative_binary64_10239`

Counts

3 → 74

Calls

3 calls:

9.0ms	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
9.0ms	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
7.0ms	(*.f64 (-.f64 1 x) y)

Compiler

Compiled 1435 to 1072 computations (25.3% saved)

series486.0ms (5.5%)

Error

0.0b

Counts

3 → 45

Calls

3 calls:

179.0ms	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
171.0ms	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
85.0ms	(*.f64 (-.f64 1 x) y)

Compiler

Compiled 1482 to 1094 computations (26.2% saved)

simplify103.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

387×	`distribute-rgt-in_binary64_10258`
370×	`cancel-sign-sub-inv_binary64_10274`
358×	`div-sub_binary64_10313`
320×	`distribute-lft-in_binary64_10257`
273×	`sub-neg_binary64_10301`
159×	`distribute-rgt-neg-in_binary64_10266`
125×	`distribute-neg-frac_binary64_10272` `distribute-lft-neg-in_binary64_10265`
107×	`exp-prod_binary64_10360` `associate-/l*_binary64_10253` `+-commutative_binary64_10238`
100×	`distribute-neg-in_binary64_10269`
93×	`associate--l+_binary64_10245`
88×	`associate-l_binary64_10249`
83×	`associate-r_binary64_10248`
79×	`neg-sub0_binary64_10303`
78×	`exp-sum_binary64_10354`
77×	`associate--r+_binary64_10244`
75×	`neg-mul-1_binary64_10304`
69×	`associate-+l+_binary64_10241`
65×	`times-frac_binary64_10314` `*-commutative_binary64_10239`
62×	`unsub-neg_binary64_10302`
58×	`distribute-lft-neg-out_binary64_10267`
54×	`associate-+r+_binary64_10240`
53×	`distribute-rgt-out_binary64_10261` `associate-*l/_binary64_10251`
45×	`associate-/r*_binary64_10252`
40×	`log-prod_binary64_10394`
39×	`cube-div_binary64_10337` `cube-prod_binary64_10336`
37×	`log-div_binary64_10395` `associate-*r/_binary64_10250`
35×	`distribute-rgt-neg-out_binary64_10268`
33×	`distribute-rgt-out--_binary64_10262`
32×	`*-rgt-identity_binary64_10298`
30×	`exp-diff_binary64_10356`
29×	`sqr-pow_binary64_10280`
24×	`associate-/l/_binary64_10255`
22×	`*-lft-identity_binary64_10297` `distribute-rgt1-in_binary64_10264`
21×	`unpow3_binary64_10374`
19×	`swap-sqr_binary64_10275`
18×	`unswap-sqr_binary64_10276`
16×	`cube-mult_binary64_10338`
13×	`/-rgt-identity_binary64_10299` `associate-/r/_binary64_10254`
9×	`distribute-lft-out_binary64_10259`
8×	`log-rec_binary64_10396`
6×	`distribute-lft-out--_binary64_10260`
5×	`cube-unmult_binary64_10345` `div0_binary64_10289`
4×	`distribute-frac-neg_binary64_10271` `distribute-neg-out_binary64_10270`
3×	`log-pow_binary64_10397` `unpow1/2_binary64_10372` `sqr-neg_binary64_10322` `mul-1-neg_binary64_10300` `difference-of-squares_binary64_10277` `associate--r-_binary64_10247`
2×	`pow-plus_binary64_10371` `exp-neg_binary64_10355` `rem-sqrt-square_binary64_10321` `sub0-neg_binary64_10295`
1×	`unpow2_binary64_10373` `unpow1_binary64_10366` `div-exp_binary64_10359` `1-exp_binary64_10352` `exp-1-e_binary64_10351` `cube-neg_binary64_10335` `rem-3cbrt-lft_binary64_10333` `rem-square-sqrt_binary64_10320` `remove-double-neg_binary64_10296` `remove-double-div_binary64_10284` `pow-sqr_binary64_10281` `difference-of-sqr--1_binary64_10279` `difference-of-sqr-1_binary64_10278` `distribute-lft1-in_binary64_10263` `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` `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` `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-cbrt-cube_binary64_10332` `rem-cube-cbrt_binary64_10331` `sqr-abs_binary64_10323` `--rgt-identity_binary64_10294` `+-rgt-identity_binary64_10293` `+-lft-identity_binary64_10292` `mul0-rgt_binary64_10291` `mul0-lft_binary64_10290` `*-inverses_binary64_10288` `+-inverses_binary64_10287` `lft-mult-inverse_binary64_10286` `rgt-mult-inverse_binary64_10285` `cancel-sign-sub_binary64_10273` `count-2_binary64_10256` `associate--l-_binary64_10246`

Counts

119 → 94

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	199	2101
1	578	1970
2	2142	1964
3	4571	1940
4	5272	1940

prune98.0ms (1.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	91	3	94
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	3	95

Error

0.0b

Counts

95 → 3

Compiler

Compiled 1621 to 947 computations (41.6% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 y (+.f64 y 1))
0.0b	(*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x))
2.7b	(-.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x)))

rewrite160.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

42×	`*-un-lft-identity_binary64_10308`
33×	`add-sqr-sqrt_binary64_10330`
25×	`add-cube-cbrt_binary64_10343` `times-frac_binary64_10314`
18×	`associate-l_binary64_10249`
13×	`cancel-sign-sub-inv_binary64_10274`
10×	`add-exp-log_binary64_10346` `add-cbrt-cube_binary64_10344`
8×	`distribute-rgt-in_binary64_10258` `associate--r+_binary64_10244` `distribute-lft-in_binary64_10257`
7×	`distribute-lft-out_binary64_10259`
6×	`associate-r_binary64_10248`
5×	`add-log-exp_binary64_10347` `pow1_binary64_10369` `sub-neg_binary64_10301`
4×	`associate-/r/_binary64_10254` `associate-/r*_binary64_10252`
3×	`flip3--_binary64_10312` `flip--_binary64_10283` `associate-/l*_binary64_10253`
2×	`div-exp_binary64_10359` `prod-exp_binary64_10357` `cbrt-unprod_binary64_10341` `cbrt-undiv_binary64_10342` `frac-times_binary64_10318` `unswap-sqr_binary64_10276` `associate-*r/_binary64_10250` `div-inv_binary64_10305` `flip3-+_binary64_10311` `flip-+_binary64_10282` `difference-of-squares_binary64_10277`
1×	`diff-log_binary64_10400` `pow-prod-down_binary64_10379` `associate-l/_binary64_10251` `distribute-lft-out--_binary64_10260` `-commutative_binary64_10239` `frac-2neg_binary64_10319` `clear-num_binary64_10307`

Counts

3 → 105

Calls

3 calls:

15.0ms	(*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x))
5.0ms	(/.f64 y (+.f64 y 1))
4.0ms	(-.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x)))

Compiler

Compiled 2095 to 1479 computations (29.4% saved)

series456.0ms (5.2%)

Error

0.0b

Counts

3 → 48

Calls

3 calls:

195.0ms	(-.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x)))
175.0ms	(*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x))
42.0ms	(/.f64 y (+.f64 y 1))

Compiler

Compiled 1562 to 1186 computations (24.1% saved)

simplify115.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

664×	`times-frac_binary64_10314`
434×	`distribute-rgt-in_binary64_10258`
396×	`cancel-sign-sub-inv_binary64_10274`
272×	`sub-neg_binary64_10301`
153×	`distribute-rgt-neg-in_binary64_10266`
146×	`exp-prod_binary64_10360`
117×	`distribute-lft-neg-in_binary64_10265`
115×	`+-commutative_binary64_10238`
111×	`associate-l_binary64_10249`
103×	`associate--l+_binary64_10245`
102×	`distribute-neg-in_binary64_10269`
88×	`associate-r_binary64_10248`
84×	`associate--r+_binary64_10244`
78×	`*-commutative_binary64_10239`
72×	`associate-+l+_binary64_10241`
71×	`associate-*l/_binary64_10251`
68×	`neg-sub0_binary64_10303`
67×	`distribute-neg-frac_binary64_10272`
66×	`unsub-neg_binary64_10302`
65×	`neg-mul-1_binary64_10304` `associate-/l*_binary64_10253`
63×	`distribute-lft-in_binary64_10257`
61×	`cube-prod_binary64_10336`
59×	`distribute-rgt-out_binary64_10261`
58×	`distribute-lft-neg-out_binary64_10267`
55×	`associate-+r+_binary64_10240`
51×	`distribute-rgt-neg-out_binary64_10268`
42×	`log-prod_binary64_10394` `associate-*r/_binary64_10250`
41×	`*-lft-identity_binary64_10297`
40×	`unswap-sqr_binary64_10276`
39×	`distribute-rgt-out--_binary64_10262`
37×	`*-rgt-identity_binary64_10298`
35×	`exp-sum_binary64_10354`
28×	`sqr-pow_binary64_10280`
26×	`distribute-rgt1-in_binary64_10264` `associate-/r*_binary64_10252`
16×	`log-div_binary64_10395` `exp-diff_binary64_10356` `cube-div_binary64_10337`
15×	`associate-/l/_binary64_10255`
13×	`distribute-lft-out_binary64_10259`
12×	`unpow3_binary64_10374` `/-rgt-identity_binary64_10299` `swap-sqr_binary64_10275`
11×	`div-sub_binary64_10313`
10×	`exp-neg_binary64_10355` `distribute-lft-out--_binary64_10260`
9×	`associate-/r/_binary64_10254`
6×	`cube-mult_binary64_10338` `difference-of-squares_binary64_10277`
5×	`cube-unmult_binary64_10345`
4×	`associate-+r-_binary64_10242`
3×	`log-rec_binary64_10396` `unpow1/2_binary64_10372` `distribute-lft1-in_binary64_10263` `associate-+l-_binary64_10243`
2×	`log-pow_binary64_10397` `pow-plus_binary64_10371` `rem-sqrt-square_binary64_10321` `mul-1-neg_binary64_10300` `+-rgt-identity_binary64_10293`
1×	`unpow2_binary64_10373` `unpow1_binary64_10366` `div-exp_binary64_10359` `1-exp_binary64_10352` `exp-1-e_binary64_10351` `rem-3cbrt-lft_binary64_10333` `rem-square-sqrt_binary64_10320` `remove-double-neg_binary64_10296` `div0_binary64_10289` `pow-sqr_binary64_10281` `difference-of-sqr--1_binary64_10279` `difference-of-sqr-1_binary64_10278`
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` `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` `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` `cube-neg_binary64_10335` `rem-3cbrt-rft_binary64_10334` `rem-cbrt-cube_binary64_10332` `rem-cube-cbrt_binary64_10331` `sqr-abs_binary64_10323` `sqr-neg_binary64_10322` `sub0-neg_binary64_10295` `--rgt-identity_binary64_10294` `+-lft-identity_binary64_10292` `mul0-rgt_binary64_10291` `mul0-lft_binary64_10290` `*-inverses_binary64_10288` `+-inverses_binary64_10287` `lft-mult-inverse_binary64_10286` `rgt-mult-inverse_binary64_10285` `remove-double-div_binary64_10284` `cancel-sign-sub_binary64_10273` `distribute-frac-neg_binary64_10271` `distribute-neg-out_binary64_10270` `count-2_binary64_10256` `associate--r-_binary64_10247` `associate--l-_binary64_10246`

Counts

153 → 134

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	234	2655
1	629	2521
2	2129	2490
3	4645	2490
4	4963	2490

prune136.0ms (1.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	134	3	137

Error

0.0b

Counts

137 → 3

Compiler

Compiled 2442 to 1633 computations (33.1% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

8.5b	(/.f64 (*.f64 y x) (+.f64 y 1))

rewrite30.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`*-un-lft-identity_binary64_10308`
6×	`add-exp-log_binary64_10346` `add-cbrt-cube_binary64_10344`
4×	`times-frac_binary64_10314` `associate-/r*_binary64_10252`
3×	`add-cube-cbrt_binary64_10343` `add-sqr-sqrt_binary64_10330`
2×	`div-exp_binary64_10359` `cbrt-undiv_binary64_10342` `distribute-lft-out_binary64_10259` `associate-/r/_binary64_10254`
1×	`pow1_binary64_10369` `prod-exp_binary64_10357` `add-log-exp_binary64_10347` `cbrt-unprod_binary64_10341` `frac-2neg_binary64_10319` `clear-num_binary64_10307` `div-inv_binary64_10305` `flip3-+_binary64_10311` `flip-+_binary64_10282` `associate-/l*_binary64_10253`

Counts

1 → 25

Calls

1 calls:

6.0ms

(/.f64 (*.f64 y x) (+.f64 y 1))

Compiler

Compiled 417 to 280 computations (32.9% saved)

series121.0ms (1.4%)

Error

0.0b

Counts

1 → 10

Calls

1 calls:

113.0ms

(/.f64 (*.f64 y x) (+.f64 y 1))

Compiler

Compiled 262 to 202 computations (22.9% saved)

simplify80.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

665×	`times-frac_binary64_10314`
461×	`div-sub_binary64_10313`
458×	`associate-/l*_binary64_10253`
210×	`unswap-sqr_binary64_10276`
205×	`cancel-sign-sub-inv_binary64_10274`
176×	`sub-neg_binary64_10301`
175×	`distribute-rgt-in_binary64_10258`
157×	`associate-/l/_binary64_10255`
146×	`distribute-lft-in_binary64_10257`
145×	`associate-l_binary64_10249`
143×	`associate-/r*_binary64_10252`
105×	`associate-r_binary64_10248`
102×	`associate-*l/_binary64_10251`
92×	`associate-+l+_binary64_10241`
81×	`distribute-rgt-out_binary64_10261`
80×	`associate-*r/_binary64_10250`
77×	`associate-/r/_binary64_10254`
73×	`distribute-neg-in_binary64_10269`
68×	`associate-+r+_binary64_10240`
64×	`distribute-rgt-neg-in_binary64_10266`
63×	`*-commutative_binary64_10239`
60×	`sqr-pow_binary64_10280`
49×	`unsub-neg_binary64_10302`
47×	`+-commutative_binary64_10238`
46×	`cube-prod_binary64_10336`
45×	`log-prod_binary64_10394`
44×	`associate-+l-_binary64_10243`
42×	`*-rgt-identity_binary64_10298`
41×	`log-div_binary64_10395`
40×	`neg-mul-1_binary64_10304`
38×	`associate--l+_binary64_10245`
36×	`neg-sub0_binary64_10303`
35×	`cube-div_binary64_10337`
32×	`associate--l-_binary64_10246`
31×	`swap-sqr_binary64_10275`
29×	`*-lft-identity_binary64_10297`
28×	`distribute-lft-out_binary64_10259`
24×	`distribute-neg-frac_binary64_10272` `distribute-rgt-out--_binary64_10262`
23×	`unpow3_binary64_10374`
22×	`difference-of-squares_binary64_10277`
21×	`exp-prod_binary64_10360`
19×	`associate-+r-_binary64_10242`
16×	`associate--r+_binary64_10244`
15×	`cube-mult_binary64_10338` `distribute-lft-neg-in_binary64_10265`
14×	`+-rgt-identity_binary64_10293`
13×	`/-rgt-identity_binary64_10299` `distribute-lft-neg-out_binary64_10267`
11×	`distribute-rgt1-in_binary64_10264`
10×	`cube-unmult_binary64_10345` `sub0-neg_binary64_10295`
8×	`distribute-lft1-in_binary64_10263` `distribute-lft-out--_binary64_10260` `associate--r-_binary64_10247`
6×	`pow-plus_binary64_10371` `--rgt-identity_binary64_10294` `distribute-neg-out_binary64_10270`
5×	`log-rec_binary64_10396` `mul0-rgt_binary64_10291` `mul0-lft_binary64_10290`
4×	`log-pow_binary64_10397` `div0_binary64_10289` `pow-sqr_binary64_10281`
3×	`exp-sum_binary64_10354` `remove-double-neg_binary64_10296` `difference-of-sqr-1_binary64_10278` `distribute-rgt-neg-out_binary64_10268`
2×	`count-2_binary64_10256`
1×	`unpow2_binary64_10373` `unpow1/2_binary64_10372` `unpow1_binary64_10366` `exp-diff_binary64_10356` `1-exp_binary64_10352` `exp-1-e_binary64_10351` `rem-sqrt-square_binary64_10321` `mul-1-neg_binary64_10300` `*-inverses_binary64_10288` `difference-of-sqr--1_binary64_10279` `distribute-frac-neg_binary64_10271`
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` `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` `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-3cbrt-lft_binary64_10333` `rem-cbrt-cube_binary64_10332` `rem-cube-cbrt_binary64_10331` `sqr-abs_binary64_10323` `sqr-neg_binary64_10322` `rem-square-sqrt_binary64_10320` `+-lft-identity_binary64_10292` `+-inverses_binary64_10287` `lft-mult-inverse_binary64_10286` `rgt-mult-inverse_binary64_10285` `remove-double-div_binary64_10284` `cancel-sign-sub_binary64_10273`

Counts

35 → 21

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	68	453
1	180	385
2	579	385
3	2567	385
4	3744	385
5	4702	385
6	5450	385

prune21.0ms (0.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	21	3	24

Error

0.0b

Counts

24 → 3

Compiler

Compiled 333 to 221 computations (33.6% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

5.3b	(+.f64 (/.f64 x (*.f64 y y)) (+.f64 x (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))))
6.7b	(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 y y))))
8.8b	(/.f64 x (*.f64 y y))
8.8b	(-.f64 (+.f64 (/.f64 x (.f64 y y)) (+.f64 x (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (/.f64 1 (.f64 y y)))))

rewrite646.0ms (7.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

170×	`*-un-lft-identity_binary64_10308`
122×	`distribute-lft-out_binary64_10259`
72×	`add-log-exp_binary64_10347`
39×	`sum-log_binary64_10399`
32×	`frac-add_binary64_10316` `div-inv_binary64_10305`
28×	`distribute-lft-out--_binary64_10260`
22×	`flip3-+_binary64_10311` `flip-+_binary64_10282`
20×	`frac-sub_binary64_10317`
12×	`diff-log_binary64_10400`
9×	`add-exp-log_binary64_10346` `add-cbrt-cube_binary64_10344` `add-sqr-sqrt_binary64_10330`
7×	`add-cube-cbrt_binary64_10343` `cancel-sign-sub-inv_binary64_10274` `times-frac_binary64_10314`
4×	`pow1_binary64_10369`
3×	`associate-/l*_binary64_10253`
2×	`distribute-rgt-out_binary64_10261` `cube-mult_binary64_10338` `div-exp_binary64_10359` `cbrt-undiv_binary64_10342` `associate-+r+_binary64_10240` `+-commutative_binary64_10238`
1×	`flip3--_binary64_10312` `sub-neg_binary64_10301` `flip--_binary64_10283` `difference-of-squares_binary64_10277` `associate--l+_binary64_10245` `associate--r+_binary64_10244` `prod-exp_binary64_10357` `cbrt-unprod_binary64_10341` `frac-2neg_binary64_10319` `clear-num_binary64_10307` `associate-/r*_binary64_10252`

Counts

4 → 143

Calls

4 calls:

85.0ms	(-.f64 (+.f64 (/.f64 x (.f64 y y)) (+.f64 x (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (/.f64 1 (.f64 y y)))))
47.0ms	(+.f64 (/.f64 x (*.f64 y y)) (+.f64 x (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))))
29.0ms	(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 y y))))
4.0ms	(/.f64 x (*.f64 y y))

Compiler

Compiled 9072 to 4911 computations (45.9% saved)

series1.2s (13.3%)

Error

0.0b

Counts

4 → 50

Calls

4 calls:

460.0ms	(-.f64 (+.f64 (/.f64 x (.f64 y y)) (+.f64 x (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (/.f64 1 (.f64 y y)))))
323.0ms	(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 y y))))
208.0ms	(+.f64 (/.f64 x (*.f64 y y)) (+.f64 x (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))))
114.0ms	(/.f64 x (*.f64 y y))

Compiler

Compiled 3219 to 2229 computations (30.8% saved)

simplify176.0ms (2%)

Algorithm

1×	egg-herbie

Rules

583×	`distribute-rgt-in_binary64_10258`
559×	`distribute-lft-in_binary64_10257`
437×	`associate-l_binary64_10249`
101×	`times-frac_binary64_10314`
97×	`*-commutative_binary64_10239`
95×	`sub-neg_binary64_10301`
92×	`associate-*l/_binary64_10251`
86×	`associate-*r/_binary64_10250`
81×	`distribute-rgt-neg-in_binary64_10266`
78×	`associate-/r*_binary64_10252`
75×	`cancel-sign-sub-inv_binary64_10274`
73×	`distribute-neg-in_binary64_10269`
64×	`associate-/l*_binary64_10253`
55×	`neg-mul-1_binary64_10304`
54×	`neg-sub0_binary64_10303`
48×	`distribute-lft-neg-in_binary64_10265`
39×	`+-commutative_binary64_10238`
36×	`associate-r_binary64_10248`
34×	`distribute-lft-neg-out_binary64_10267`
26×	`sqr-pow_binary64_10280`
15×	`unswap-sqr_binary64_10276`
13×	`unpow3_binary64_10374` `associate--r+_binary64_10244` `associate-+r+_binary64_10240`
12×	`cube-mult_binary64_10338` `distribute-neg-frac_binary64_10272` `associate--l+_binary64_10245`
11×	`exp-sum_binary64_10354`
8×	`prod-exp_binary64_10357`
7×	`cube-div_binary64_10337`
6×	`difference-of-squares_binary64_10277` `associate-/r/_binary64_10254`
5×	`div-exp_binary64_10359` `distribute-rgt-out_binary64_10261`
4×	`log-prod_binary64_10394` `*-rgt-identity_binary64_10298` `distribute-rgt-neg-out_binary64_10268` `distribute-rgt-out--_binary64_10262` `associate-+r-_binary64_10242`
3×	`cube-prod_binary64_10336` `swap-sqr_binary64_10275`
2×	`log-div_binary64_10395` `exp-diff_binary64_10356` `cube-unmult_binary64_10345` `*-lft-identity_binary64_10297`
1×	`unpow2_binary64_10373` `pow-plus_binary64_10371` `unpow1_binary64_10366` `1-exp_binary64_10352` `rem-3cbrt-lft_binary64_10333` `rem-square-sqrt_binary64_10320` `div-sub_binary64_10313` `unsub-neg_binary64_10302` `mul-1-neg_binary64_10300` `pow-sqr_binary64_10281` `distribute-rgt1-in_binary64_10264` `count-2_binary64_10256` `associate-+l+_binary64_10241`
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` `pow-base-0_binary64_10392` `unpow1/3_binary64_10375` `unpow1/2_binary64_10372` `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` `exp-prod_binary64_10360` `rec-exp_binary64_10358` `exp-neg_binary64_10355` `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-neg_binary64_10335` `rem-3cbrt-rft_binary64_10334` `rem-cbrt-cube_binary64_10332` `rem-cube-cbrt_binary64_10331` `sqr-abs_binary64_10323` `sqr-neg_binary64_10322` `rem-sqrt-square_binary64_10321` `/-rgt-identity_binary64_10299` `remove-double-neg_binary64_10296` `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_10288` `+-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` `distribute-lft-out--_binary64_10260` `distribute-lft-out_binary64_10259` `associate-/l/_binary64_10255` `associate--r-_binary64_10247` `associate--l-_binary64_10246` `associate-+l-_binary64_10243`

Counts

193 → 163

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	306	10656
1	1126	10169
2	4978	10169

prune477.0ms (5.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	162	1	163
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	162	4	166

Error

0.0b

Counts

166 → 4

Compiler

Compiled 8410 to 4673 computations (44.4% saved)

regimes1.2s (13.6%)

Accuracy

Total 0.0b remaining (55.2%)

Threshold costs 0.0b (55.2%)

Compiler

Compiled 12366 to 8763 computations (29.1% saved)

bsearch65.0ms (0.7%)

Steps

Iters	Range		Point
9	0.00930473903169481	1226507.6744691066	10594.602622938646
10	-52377206968809.85	-345.3924060691642	-13025.77352993084

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

79×	`unsub-neg_binary64_10302`
56×	`neg-mul-1_binary64_10304` `neg-sub0_binary64_10303`
25×	`*-commutative_binary64_10239`
24×	`distribute-neg-out_binary64_10270` `+-commutative_binary64_10238`
22×	`sub-neg_binary64_10301`
21×	`distribute-neg-in_binary64_10269` `distribute-rgt-neg-in_binary64_10266`
20×	`cancel-sign-sub-inv_binary64_10274`
19×	`distribute-lft-neg-out_binary64_10267` `distribute-lft-neg-in_binary64_10265`
16×	`distribute-rgt-neg-out_binary64_10268`
13×	`*-lft-identity_binary64_10297`
10×	`+-rgt-identity_binary64_10293`
9×	`+-lft-identity_binary64_10292`
5×	`*-rgt-identity_binary64_10298`
4×	`distribute-neg-frac_binary64_10272` `distribute-frac-neg_binary64_10271`
2×	`remove-double-neg_binary64_10296`
1×	`if-if-or-not_binary64_10566` `1-exp_binary64_10352` `--rgt-identity_binary64_10294`
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_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` `exp-1-e_binary64_10351` `exp-0_binary64_10350` `sqr-abs_binary64_10323` `sqr-neg_binary64_10322` `mul-1-neg_binary64_10300` `/-rgt-identity_binary64_10299` `sub0-neg_binary64_10295` `cancel-sign-sub_binary64_10273`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	88
1	60	88
2	85	88
3	119	88
4	177	88
5	210	88
6	232	88
7	303	88
8	301	88
9	306	88
10	309	88
11	310	88
12	302	88

end0.0ms (0%)

sample2.4s (27%)

Algorithm

1×

intervals

Results

214.0ms	6234×	body	128	valid
79.0ms	639×	body	1024	valid
69.0ms	682×	body	512	valid
28.0ms	437×	body	256	valid
1.0ms	8×	body	2048	valid

Compiler

Compiled 2395 to 1669 computations (30.3% saved)

Iter	Nodes	Cost
0	36	88
1	60	88
2	85	88
3	119	88
4	177	88
5	210	88
6	232	88
7	303	88
8	301	88
9	306	88
10	309	88
11	310	88
12	302	88

Iter	Nodes	Cost
0	36	88
1	60	88
2	85	88
3	119	88
4	177	88
5	210	88
6	232	88
7	303	88
8	301	88
9	306	88
10	309	88
11	310	88
12	302	88

Details

analyze469.0ms (5.3%)

sample24.0ms (0.3%)

simplify183.0ms (2.1%)

prune3.0ms (0%)

localize7.0ms (0.1%)

rewrite132.0ms (1.5%)

series486.0ms (5.5%)

simplify103.0ms (1.2%)

prune98.0ms (1.1%)

localize7.0ms (0.1%)

rewrite160.0ms (1.8%)

series456.0ms (5.2%)

simplify115.0ms (1.3%)

prune136.0ms (1.6%)

localize7.0ms (0.1%)

rewrite30.0ms (0.3%)

series121.0ms (1.4%)

simplify80.0ms (0.9%)

prune21.0ms (0.2%)

localize21.0ms (0.2%)

rewrite646.0ms (7.4%)

series1.2s (13.3%)

simplify176.0ms (2%)

prune477.0ms (5.4%)

regimes1.2s (13.6%)

bsearch65.0ms (0.7%)

simplify15.0ms (0.2%)

end0.0ms (0%)

sample2.4s (27%)

Profiling

Iter	Nodes	Cost
0	36	88
1	60	88
2	85	88
3	119	88
4	177	88
5	210	88
6	232	88
7	303	88
8	301	88
9	306	88
10	309	88
11	310	88
12	302	88