Details

analyze383.0ms (2.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	68.6%	31.4%	5
0%	65.5%	34.5%	6
0%	59.2%	40.8%	7
0%	51.4%	48.6%	8
0%	41.3%	58.7%	9
0%	28.4%	71.6%	10
2.3%	22.3%	75.4%	11
2.3%	21%	76.7%	12
2.7%	18%	79.3%	13
2.7%	16.4%	80.8%	14

Compiler

Compiled 17 to 16 computations (5.9% saved)

sample51.0ms (0.3%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	128	valid
10.0ms	157×	body	128	nan
0.0ms	4×	body	128	invalid

Compiler

Compiled 33 to 36 computations (-9.1% saved)

simplify543.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

908×	`cube-prod_binary64_17156`
862×	`exp-prod_binary64_17180`
532×	`unsub-neg_binary64_17122`
296×	`distribute-rgt-in_binary64_17078`
248×	`distribute-neg-in_binary64_17089`
246×	`sub-neg_binary64_17121`
214×	`swap-sqr_binary64_17095`
163×	`associate--r-_binary64_17067`
150×	`exp-sum_binary64_17174`
141×	`associate--l-_binary64_17066`
139×	`distribute-rgt-neg-out_binary64_17088`
135×	`distribute-lft-neg-in_binary64_17085`
131×	`distribute-rgt1-in_binary64_17084`
128×	`*-commutative_binary64_17059`
122×	`associate-+l+_binary64_17061`
121×	`distribute-rgt-neg-in_binary64_17086`
116×	`neg-mul-1_binary64_17124`
113×	`associate-+r+_binary64_17060`
110×	`+-commutative_binary64_17058`
108×	`distribute-lft-neg-out_binary64_17087`
105×	`log-pow_binary64_17217`
101×	`exp-diff_binary64_17176` `cancel-sign-sub-inv_binary64_17094`
99×	`unpow3_binary64_17194`
97×	`cube-mult_binary64_17158`
93×	`neg-sub0_binary64_17123` `associate--r+_binary64_17064`
91×	`associate--l+_binary64_17065`
81×	`associate-+l-_binary64_17063`
75×	`pow-plus_binary64_17191`
59×	`distribute-lft-in_binary64_17077`
54×	`distribute-neg-out_binary64_17090`
48×	`associate-+r-_binary64_17062`
46×	`associate-r_binary64_17068`
41×	`sub0-neg_binary64_17115`
37×	`log-prod_binary64_17214`
36×	`remove-double-neg_binary64_17116` `cancel-sign-sub_binary64_17093`
31×	`exp-neg_binary64_17175`
23×	`distribute-rgt-out_binary64_17081`
20×	`sqr-neg_binary64_17142` `associate-l_binary64_17069`
18×	`distribute-rgt-out--_binary64_17082`
16×	`exp-to-pow_binary64_17190`
15×	`exp-lft-sqr_binary64_17183`
13×	`+-rgt-identity_binary64_17113`
12×	`--rgt-identity_binary64_17114` `mul0-rgt_binary64_17111` `mul0-lft_binary64_17110`
11×	`distribute-lft1-in_binary64_17083`
9×	`distribute-lft-out--_binary64_17080`
6×	`pow-sqr_binary64_17101` `sqr-pow_binary64_17100` `unswap-sqr_binary64_17096`
5×	`difference-of-squares_binary64_17097` `distribute-lft-out_binary64_17079` `count-2_binary64_17076`
4×	`log-div_binary64_17215` `cube-unmult_binary64_17165` `cube-div_binary64_17157` `+-lft-identity_binary64_17112` `+-inverses_binary64_17107`
2×	`mul-1-neg_binary64_17120` `difference-of-sqr--1_binary64_17099`
1×	`pow-base-0_binary64_17212` `unpow1/2_binary64_17192` `1-exp_binary64_17172` `exp-1-e_binary64_17171` `-lft-identity_binary64_17117` `associate-/r_binary64_17072`
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_17391` `erf-erfc_binary64_17390` `erf-odd_binary64_17389` `if-if-and-not_binary64_17388` `if-if-and_binary64_17387` `if-if-or-not_binary64_17386` `if-if-or_binary64_17385` `if-not_binary64_17384` `if-same_binary64_17383` `if-false_binary64_17382` `if-true_binary64_17381` `not-gte_binary64_17380` `not-lte_binary64_17379` `not-gt_binary64_17378` `not-lt_binary64_17377` `gte-same_binary64_17376` `lte-same_binary64_17375` `gt-same_binary64_17374` `lt-same_binary64_17373` `sinh---cosh_binary64_17320` `sinh-+-cosh_binary64_17319` `sinh-cosh_binary64_17318` `tanh-def-c_binary64_17317` `tanh-def-b_binary64_17316` `tanh-def-a_binary64_17315` `cosh-def_binary64_17314` `sinh-def_binary64_17313` `tan-neg_binary64_17260` `cos-neg_binary64_17259` `sin-neg_binary64_17258` `tan-0_binary64_17257` `cos-0_binary64_17256` `sin-0_binary64_17255` `hang-m-tan_binary64_17254` `hang-p-tan_binary64_17253` `hang-m0-tan_binary64_17252` `hang-p0-tan_binary64_17251` `hang-0m-tan_binary64_17250` `hang-0p-tan_binary64_17249` `tan-+PI/2_binary64_17248` `tan-+PI_binary64_17247` `tan-PI_binary64_17246` `tan-PI/3_binary64_17245` `tan-PI/4_binary64_17244` `tan-PI/6_binary64_17243` `cos-+PI/2_binary64_17242` `cos-+PI_binary64_17241` `cos-PI_binary64_17240` `cos-PI/2_binary64_17239` `cos-PI/3_binary64_17238` `cos-PI/4_binary64_17237` `cos-PI/6_binary64_17236` `sin-+PI/2_binary64_17235` `sin-+PI_binary64_17234` `sin-PI_binary64_17233` `sin-PI/2_binary64_17232` `sin-PI/3_binary64_17231` `sin-PI/4_binary64_17230` `sin-PI/6_binary64_17229` `sub-1-sin_binary64_17228` `sub-1-cos_binary64_17227` `-1-add-sin_binary64_17226` `-1-add-cos_binary64_17225` `1-sub-sin_binary64_17224` `1-sub-cos_binary64_17223` `cos-sin-sum_binary64_17222` `log-E_binary64_17218` `log-rec_binary64_17216` `unpow1/3_binary64_17195` `unpow2_binary64_17193` `pow-base-1_binary64_17188` `unpow0_binary64_17187` `unpow1_binary64_17186` `unpow-1_binary64_17185` `exp-lft-cube_binary64_17184` `exp-cbrt_binary64_17182` `exp-sqrt_binary64_17181` `div-exp_binary64_17179` `rec-exp_binary64_17178` `prod-exp_binary64_17177` `e-exp-1_binary64_17173` `exp-0_binary64_17170` `rem-log-exp_binary64_17169` `rem-exp-log_binary64_17168` `cube-neg_binary64_17155` `rem-3cbrt-rft_binary64_17154` `rem-3cbrt-lft_binary64_17153` `rem-cbrt-cube_binary64_17152` `rem-cube-cbrt_binary64_17151` `sqr-abs_binary64_17143` `rem-sqrt-square_binary64_17141` `rem-square-sqrt_binary64_17140` `times-frac_binary64_17134` `div-sub_binary64_17133` `/-rgt-identity_binary64_17119` `-rgt-identity_binary64_17118` `div0_binary64_17109` `-inverses_binary64_17108` `lft-mult-inverse_binary64_17106` `rgt-mult-inverse_binary64_17105` `remove-double-div_binary64_17104` `difference-of-sqr-1_binary64_17098` `distribute-neg-frac_binary64_17092` `distribute-frac-neg_binary64_17091` `associate-/l/_binary64_17075` `associate-/r/_binary64_17074` `associate-/l_binary64_17073` `associate-l/_binary64_17071` `associate-*r/_binary64_17070`

Counts

1 → 6

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	25
1	28	25
2	71	25
3	167	25
4	412	25
5	1000	25
6	1342	25
7	1885	25
8	3117	25

prune13.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	4	2	6
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	4	3	7

Error

0.3b

Counts

7 → 3

Compiler

Compiled 144 to 88 computations (38.9% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 t (log.f64 (+.f64 x y)))
0.1b	(-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) (-.f64 (-.f64 t (log.f64 (+.f64 x y))) (log.f64 z)))
0.2b	(*.f64 (-.f64 a 1/2) (log.f64 t))
0.2b	(-.f64 (-.f64 t (log.f64 (+.f64 x y))) (log.f64 z))

rewrite251.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

47×	`*-un-lft-identity_binary64_17128`
30×	`cancel-sign-sub-inv_binary64_17094`
28×	`add-sqr-sqrt_binary64_17150`
23×	`pow1_binary64_17189` `distribute-lft-out--_binary64_17080`
20×	`associate--l+_binary64_17065`
19×	`log-prod_binary64_17214` `associate--r+_binary64_17064`
18×	`add-cube-cbrt_binary64_17163`
17×	`log-pow_binary64_17217`
13×	`add-log-exp_binary64_17167`
10×	`diff-log_binary64_17220`
8×	`flip3--_binary64_17132` `flip--_binary64_17103`
7×	`associate--r-_binary64_17067`
6×	`add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164` `sub-neg_binary64_17121` `log-div_binary64_17215` `distribute-rgt-in_binary64_17078` `distribute-lft-in_binary64_17077` `associate-*l/_binary64_17071`
5×	`associate-l_binary64_17069`
4×	`difference-of-squares_binary64_17097` `associate-r_binary64_17068` `frac-sub_binary64_17137`
3×	`flip3-+_binary64_17131` `flip-+_binary64_17102`
1×	`associate--l-_binary64_17066` `pow-prod-down_binary64_17199` `prod-exp_binary64_17177` `cbrt-unprod_binary64_17161` `unswap-sqr_binary64_17096` `*-commutative_binary64_17059` `distribute-lft-out_binary64_17079`

Counts

4 → 133

Calls

4 calls:

18.0ms	(-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) (-.f64 (-.f64 t (log.f64 (+.f64 x y))) (log.f64 z)))
10.0ms	(-.f64 (-.f64 t (log.f64 (+.f64 x y))) (log.f64 z))
7.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))
7.0ms	(-.f64 t (log.f64 (+.f64 x y)))

Compiler

Compiled 3428 to 1149 computations (66.5% saved)

series2.3s (15%)

Error

0.2b

Counts

4 → 74

Calls

4 calls:

1.1s	(-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) (-.f64 (-.f64 t (log.f64 (+.f64 x y))) (log.f64 z)))
677.0ms	(-.f64 (-.f64 t (log.f64 (+.f64 x y))) (log.f64 z))
254.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))
210.0ms	(-.f64 t (log.f64 (+.f64 x y)))

Compiler

Compiled 3659 to 2662 computations (27.2% saved)

simplify591.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

578×	`sub-neg_binary64_17121`
295×	`cancel-sign-sub-inv_binary64_17094`
198×	`associate--l+_binary64_17065`
195×	`+-commutative_binary64_17058`
194×	`distribute-neg-in_binary64_17089`
161×	`associate--r+_binary64_17064`
159×	`distribute-lft-neg-out_binary64_17087`
144×	`distribute-rgt-in_binary64_17078`
141×	`distribute-lft-in_binary64_17077`
132×	`associate-+l+_binary64_17061`
120×	`neg-sub0_binary64_17123`
119×	`neg-mul-1_binary64_17124`
117×	`unsub-neg_binary64_17122`
107×	`*-commutative_binary64_17059`
103×	`distribute-rgt-neg-out_binary64_17088` `associate-l_binary64_17069`
100×	`associate-r_binary64_17068`
87×	`distribute-rgt-neg-in_binary64_17086`
66×	`exp-prod_binary64_17180`
65×	`associate-+r+_binary64_17060`
61×	`distribute-lft-neg-in_binary64_17085`
59×	`sqr-pow_binary64_17100`
49×	`associate-*l/_binary64_17071`
43×	`exp-sum_binary64_17174`
38×	`associate-+r-_binary64_17062`
36×	`distribute-rgt-out_binary64_17081`
35×	`associate-+l-_binary64_17063`
31×	`cancel-sign-sub_binary64_17093`
30×	`associate-/l*_binary64_17073`
28×	`exp-diff_binary64_17176`
27×	`pow-sqr_binary64_17101`
24×	`log-prod_binary64_17214` `cube-prod_binary64_17156`
22×	`times-frac_binary64_17134` `distribute-lft-out_binary64_17079`
21×	`-rgt-identity_binary64_17118` `-lft-identity_binary64_17117`
20×	`associate--r-_binary64_17067`
18×	`difference-of-squares_binary64_17097` `unswap-sqr_binary64_17096`
16×	`swap-sqr_binary64_17095` `associate--l-_binary64_17066`
15×	`+-rgt-identity_binary64_17113`
14×	`associate-/r*_binary64_17072`
13×	`unpow3_binary64_17194`
11×	`cube-mult_binary64_17158`
10×	`exp-to-pow_binary64_17190` `associate-/l/_binary64_17075`
9×	`log-div_binary64_17215` `remove-double-neg_binary64_17116` `distribute-neg-frac_binary64_17092` `distribute-rgt-out--_binary64_17082`
8×	`associate-/r/_binary64_17074`
7×	`distribute-neg-out_binary64_17090`
6×	`pow-plus_binary64_17191` `div-sub_binary64_17133`
5×	`div-exp_binary64_17179` `sub0-neg_binary64_17115`
4×	`log-rec_binary64_17216` `cube-unmult_binary64_17165` `mul-1-neg_binary64_17120` `--rgt-identity_binary64_17114` `distribute-frac-neg_binary64_17091` `distribute-lft-out--_binary64_17080` `count-2_binary64_17076`
3×	`prod-exp_binary64_17177` `rem-exp-log_binary64_17168` `rem-3cbrt-lft_binary64_17153` `rem-sqrt-square_binary64_17141` `rem-square-sqrt_binary64_17140` `mul0-rgt_binary64_17111`
2×	`unpow2_binary64_17193` `unpow1_binary64_17186` `mul0-lft_binary64_17110`
1×	`pow-base-1_binary64_17188` `exp-sqrt_binary64_17181` `1-exp_binary64_17172` `exp-1-e_binary64_17171` `rem-log-exp_binary64_17169` `cube-div_binary64_17157` `-inverses_binary64_17108` `+-inverses_binary64_17107` `distribute-rgt1-in_binary64_17084` `associate-r/_binary64_17070`
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_17391` `erf-erfc_binary64_17390` `erf-odd_binary64_17389` `if-if-and-not_binary64_17388` `if-if-and_binary64_17387` `if-if-or-not_binary64_17386` `if-if-or_binary64_17385` `if-not_binary64_17384` `if-same_binary64_17383` `if-false_binary64_17382` `if-true_binary64_17381` `not-gte_binary64_17380` `not-lte_binary64_17379` `not-gt_binary64_17378` `not-lt_binary64_17377` `gte-same_binary64_17376` `lte-same_binary64_17375` `gt-same_binary64_17374` `lt-same_binary64_17373` `sinh---cosh_binary64_17320` `sinh-+-cosh_binary64_17319` `sinh-cosh_binary64_17318` `tanh-def-c_binary64_17317` `tanh-def-b_binary64_17316` `tanh-def-a_binary64_17315` `cosh-def_binary64_17314` `sinh-def_binary64_17313` `tan-neg_binary64_17260` `cos-neg_binary64_17259` `sin-neg_binary64_17258` `tan-0_binary64_17257` `cos-0_binary64_17256` `sin-0_binary64_17255` `hang-m-tan_binary64_17254` `hang-p-tan_binary64_17253` `hang-m0-tan_binary64_17252` `hang-p0-tan_binary64_17251` `hang-0m-tan_binary64_17250` `hang-0p-tan_binary64_17249` `tan-+PI/2_binary64_17248` `tan-+PI_binary64_17247` `tan-PI_binary64_17246` `tan-PI/3_binary64_17245` `tan-PI/4_binary64_17244` `tan-PI/6_binary64_17243` `cos-+PI/2_binary64_17242` `cos-+PI_binary64_17241` `cos-PI_binary64_17240` `cos-PI/2_binary64_17239` `cos-PI/3_binary64_17238` `cos-PI/4_binary64_17237` `cos-PI/6_binary64_17236` `sin-+PI/2_binary64_17235` `sin-+PI_binary64_17234` `sin-PI_binary64_17233` `sin-PI/2_binary64_17232` `sin-PI/3_binary64_17231` `sin-PI/4_binary64_17230` `sin-PI/6_binary64_17229` `sub-1-sin_binary64_17228` `sub-1-cos_binary64_17227` `-1-add-sin_binary64_17226` `-1-add-cos_binary64_17225` `1-sub-sin_binary64_17224` `1-sub-cos_binary64_17223` `cos-sin-sum_binary64_17222` `log-E_binary64_17218` `log-pow_binary64_17217` `pow-base-0_binary64_17212` `unpow1/3_binary64_17195` `unpow1/2_binary64_17192` `unpow0_binary64_17187` `unpow-1_binary64_17185` `exp-lft-cube_binary64_17184` `exp-lft-sqr_binary64_17183` `exp-cbrt_binary64_17182` `rec-exp_binary64_17178` `exp-neg_binary64_17175` `e-exp-1_binary64_17173` `exp-0_binary64_17170` `cube-neg_binary64_17155` `rem-3cbrt-rft_binary64_17154` `rem-cbrt-cube_binary64_17152` `rem-cube-cbrt_binary64_17151` `sqr-abs_binary64_17143` `sqr-neg_binary64_17142` `/-rgt-identity_binary64_17119` `+-lft-identity_binary64_17112` `div0_binary64_17109` `lft-mult-inverse_binary64_17106` `rgt-mult-inverse_binary64_17105` `remove-double-div_binary64_17104` `difference-of-sqr--1_binary64_17099` `difference-of-sqr-1_binary64_17098` `distribute-lft1-in_binary64_17083`

Counts

207 → 394

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	366	4161
1	1030	3998
2	3418	3886

prune615.0ms (4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	388	6	394
Fresh	2	0	2
Picked	1	0	1
Done	0	0	0
Total	391	6	397

Error

0.0b

Counts

397 → 6

Compiler

Compiled 12673 to 4032 computations (68.2% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (-.f64 t (log.f64 (+.f64 x y))) (log.f64 z))
0.3b	(+.f64 (.f64 (-.f64 a 1/2) (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 (log.f64 (cbrt.f64 t)) (-.f64 a 1/2)))
0.5b	(cbrt.f64 t)
0.5b	(cbrt.f64 t)

rewrite222.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`*-un-lft-identity_binary64_17128`
28×	`distribute-rgt-in_binary64_17078` `distribute-lft-in_binary64_17077`
27×	`log-prod_binary64_17214`
24×	`associate-+l+_binary64_17061`
21×	`add-sqr-sqrt_binary64_17150`
19×	`add-cube-cbrt_binary64_17163`
18×	`cbrt-prod_binary64_17159`
14×	`cancel-sign-sub-inv_binary64_17094`
11×	`pow1_binary64_17189`
10×	`distribute-lft-out--_binary64_17080`
8×	`add-log-exp_binary64_17167` `associate-+r+_binary64_17060`
7×	`log-pow_binary64_17217` `associate--l+_binary64_17065`
5×	`flip3--_binary64_17132` `flip--_binary64_17103`
4×	`add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164` `associate-r/_binary64_17070` `associate-l/_binary64_17071` `frac-add_binary64_17136` `sub-neg_binary64_17121`
3×	`diff-log_binary64_17220` `associate--r+_binary64_17064`
2×	`pow1/3_binary64_17210` `flip3-+_binary64_17131` `flip-+_binary64_17102` `log-div_binary64_17215` `associate--r-_binary64_17067`
1×	`sum-log_binary64_17219` `+-commutative_binary64_17058` `difference-of-squares_binary64_17097` `associate--l-_binary64_17066`

Counts

4 → 103

Calls

4 calls:

18.0ms	(+.f64 (.f64 (-.f64 a 1/2) (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 (log.f64 (cbrt.f64 t)) (-.f64 a 1/2)))
10.0ms	(-.f64 (-.f64 t (log.f64 (+.f64 x y))) (log.f64 z))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

Compiler

Compiled 3835 to 1664 computations (56.6% saved)

series1.6s (10.6%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

893.0ms	(+.f64 (.f64 (-.f64 a 1/2) (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 (log.f64 (cbrt.f64 t)) (-.f64 a 1/2)))
469.0ms	(-.f64 (-.f64 t (log.f64 (+.f64 x y))) (log.f64 z))
114.0ms	(cbrt.f64 t)
112.0ms	(cbrt.f64 t)

Compiler

Compiled 2743 to 2020 computations (26.4% saved)

simplify377.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

325×	`associate-+l+_binary64_17061`
210×	`sub-neg_binary64_17121`
205×	`distribute-rgt-out_binary64_17081`
179×	`associate-l_binary64_17069`
176×	`associate-r_binary64_17068`
169×	`associate-+l-_binary64_17063`
165×	`cancel-sign-sub-inv_binary64_17094`
124×	`associate--l+_binary64_17065`
115×	`distribute-rgt-in_binary64_17078`
109×	`distribute-lft-in_binary64_17077`
106×	`*-commutative_binary64_17059`
104×	`distribute-rgt-neg-in_binary64_17086`
103×	`associate--r+_binary64_17064`
101×	`distribute-lft-neg-out_binary64_17087`
100×	`distribute-lft-out_binary64_17079`
95×	`associate-+r-_binary64_17062`
88×	`+-commutative_binary64_17058`
84×	`distribute-lft-neg-in_binary64_17085`
71×	`sqr-pow_binary64_17100`
66×	`neg-mul-1_binary64_17124`
65×	`neg-sub0_binary64_17123`
64×	`exp-prod_binary64_17180`
57×	`distribute-rgt-neg-out_binary64_17088`
55×	`associate--l-_binary64_17066`
53×	`distribute-neg-in_binary64_17089`
47×	`distribute-rgt-out--_binary64_17082`
38×	`log-prod_binary64_17214`
32×	`swap-sqr_binary64_17095`
30×	`cube-prod_binary64_17156` `unsub-neg_binary64_17122` `pow-sqr_binary64_17101`
28×	`unswap-sqr_binary64_17096`
27×	`associate-/r*_binary64_17072`
24×	`associate-/l*_binary64_17073`
22×	`associate-+r+_binary64_17060`
21×	`exp-sum_binary64_17174`
15×	`exp-diff_binary64_17176` `times-frac_binary64_17134` `distribute-lft-out--_binary64_17080`
14×	`difference-of-squares_binary64_17097`
13×	`unpow3_binary64_17194` `cube-mult_binary64_17158`
12×	`log-pow_binary64_17217`
11×	`distribute-rgt1-in_binary64_17084` `associate-/l/_binary64_17075` `associate-l/_binary64_17071` `associate-r/_binary64_17070`
10×	`log-div_binary64_17215` `exp-to-pow_binary64_17190`
9×	`+-rgt-identity_binary64_17113`
7×	`cube-unmult_binary64_17165`
5×	`rem-sqrt-square_binary64_17141`
4×	`log-rec_binary64_17216` `div-sub_binary64_17133` `sub0-neg_binary64_17115` `cancel-sign-sub_binary64_17093` `distribute-lft1-in_binary64_17083` `count-2_binary64_17076`
3×	`exp-lft-sqr_binary64_17183` `div-exp_binary64_17179` `prod-exp_binary64_17177` `rem-exp-log_binary64_17168` `rem-3cbrt-lft_binary64_17153` `--rgt-identity_binary64_17114` `distribute-neg-frac_binary64_17092` `distribute-frac-neg_binary64_17091` `associate--r-_binary64_17067`
2×	`unpow1/3_binary64_17195` `unpow2_binary64_17193` `unpow1_binary64_17186` `rem-square-sqrt_binary64_17140` `mul-1-neg_binary64_17120` `-rgt-identity_binary64_17118` `-lft-identity_binary64_17117` `distribute-neg-out_binary64_17090` `associate-/r/_binary64_17074`
1×	`pow-plus_binary64_17191` `1-exp_binary64_17172` `rem-log-exp_binary64_17169` `*-inverses_binary64_17108`
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_17391` `erf-erfc_binary64_17390` `erf-odd_binary64_17389` `if-if-and-not_binary64_17388` `if-if-and_binary64_17387` `if-if-or-not_binary64_17386` `if-if-or_binary64_17385` `if-not_binary64_17384` `if-same_binary64_17383` `if-false_binary64_17382` `if-true_binary64_17381` `not-gte_binary64_17380` `not-lte_binary64_17379` `not-gt_binary64_17378` `not-lt_binary64_17377` `gte-same_binary64_17376` `lte-same_binary64_17375` `gt-same_binary64_17374` `lt-same_binary64_17373` `sinh---cosh_binary64_17320` `sinh-+-cosh_binary64_17319` `sinh-cosh_binary64_17318` `tanh-def-c_binary64_17317` `tanh-def-b_binary64_17316` `tanh-def-a_binary64_17315` `cosh-def_binary64_17314` `sinh-def_binary64_17313` `tan-neg_binary64_17260` `cos-neg_binary64_17259` `sin-neg_binary64_17258` `tan-0_binary64_17257` `cos-0_binary64_17256` `sin-0_binary64_17255` `hang-m-tan_binary64_17254` `hang-p-tan_binary64_17253` `hang-m0-tan_binary64_17252` `hang-p0-tan_binary64_17251` `hang-0m-tan_binary64_17250` `hang-0p-tan_binary64_17249` `tan-+PI/2_binary64_17248` `tan-+PI_binary64_17247` `tan-PI_binary64_17246` `tan-PI/3_binary64_17245` `tan-PI/4_binary64_17244` `tan-PI/6_binary64_17243` `cos-+PI/2_binary64_17242` `cos-+PI_binary64_17241` `cos-PI_binary64_17240` `cos-PI/2_binary64_17239` `cos-PI/3_binary64_17238` `cos-PI/4_binary64_17237` `cos-PI/6_binary64_17236` `sin-+PI/2_binary64_17235` `sin-+PI_binary64_17234` `sin-PI_binary64_17233` `sin-PI/2_binary64_17232` `sin-PI/3_binary64_17231` `sin-PI/4_binary64_17230` `sin-PI/6_binary64_17229` `sub-1-sin_binary64_17228` `sub-1-cos_binary64_17227` `-1-add-sin_binary64_17226` `-1-add-cos_binary64_17225` `1-sub-sin_binary64_17224` `1-sub-cos_binary64_17223` `cos-sin-sum_binary64_17222` `log-E_binary64_17218` `pow-base-0_binary64_17212` `unpow1/2_binary64_17192` `pow-base-1_binary64_17188` `unpow0_binary64_17187` `unpow-1_binary64_17185` `exp-lft-cube_binary64_17184` `exp-cbrt_binary64_17182` `exp-sqrt_binary64_17181` `rec-exp_binary64_17178` `exp-neg_binary64_17175` `e-exp-1_binary64_17173` `exp-1-e_binary64_17171` `exp-0_binary64_17170` `cube-div_binary64_17157` `cube-neg_binary64_17155` `rem-3cbrt-rft_binary64_17154` `rem-cbrt-cube_binary64_17152` `rem-cube-cbrt_binary64_17151` `sqr-abs_binary64_17143` `sqr-neg_binary64_17142` `/-rgt-identity_binary64_17119` `remove-double-neg_binary64_17116` `+-lft-identity_binary64_17112` `mul0-rgt_binary64_17111` `mul0-lft_binary64_17110` `div0_binary64_17109` `+-inverses_binary64_17107` `lft-mult-inverse_binary64_17106` `rgt-mult-inverse_binary64_17105` `remove-double-div_binary64_17104` `difference-of-sqr--1_binary64_17099` `difference-of-sqr-1_binary64_17098`

Counts

139 → 306

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	275	2748
1	722	2434
2	2328	2176

prune611.0ms (3.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	305	1	306
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	306	6	312

Error

0.0b

Counts

312 → 6

Compiler

Compiled 11633 to 5156 computations (55.7% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (log.f64 (cbrt.f64 t)) 3/2)
0.3b	(.f64 (.f64 3 a) (log.f64 (cbrt.f64 t)))
0.5b	(cbrt.f64 t)
0.5b	(cbrt.f64 t)

rewrite124.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

15×	`add-sqr-sqrt_binary64_17150`
13×	`pow1_binary64_17189` `add-cube-cbrt_binary64_17163` `*-un-lft-identity_binary64_17128`
12×	`cbrt-prod_binary64_17159` `log-prod_binary64_17214`
11×	`add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164`
8×	`associate-r_binary64_17068`
6×	`distribute-rgt-in_binary64_17078` `distribute-lft-in_binary64_17077` `associate-l_binary64_17069`
4×	`pow1/3_binary64_17210` `add-log-exp_binary64_17167` `pow-prod-down_binary64_17199` `prod-exp_binary64_17177` `cbrt-unprod_binary64_17161` `log-pow_binary64_17217`
2×	`*-commutative_binary64_17059`
1×	`unswap-sqr_binary64_17096`

Counts

4 → 74

Calls

4 calls:

6.0ms	(.f64 (.f64 3 a) (log.f64 (cbrt.f64 t)))
4.0ms	(*.f64 (log.f64 (cbrt.f64 t)) 3/2)
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

Compiler

Compiled 2146 to 778 computations (63.7% saved)

series898.0ms (5.8%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

442.0ms	(.f64 (.f64 3 a) (log.f64 (cbrt.f64 t)))
212.0ms	(*.f64 (log.f64 (cbrt.f64 t)) 3/2)
113.0ms	(cbrt.f64 t)
112.0ms	(cbrt.f64 t)

Compiler

Compiled 1152 to 894 computations (22.4% saved)

simplify337.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

309×	`*-commutative_binary64_17059`
301×	`log-prod_binary64_17214`
252×	`sqr-pow_binary64_17100`
217×	`distribute-rgt-neg-in_binary64_17086`
216×	`associate-l_binary64_17069`
172×	`cancel-sign-sub-inv_binary64_17094`
161×	`associate-r_binary64_17068`
142×	`exp-prod_binary64_17180`
124×	`pow-sqr_binary64_17101`
123×	`cube-prod_binary64_17156`
103×	`unswap-sqr_binary64_17096`
102×	`swap-sqr_binary64_17095`
99×	`exp-sum_binary64_17174`
96×	`associate-+r+_binary64_17060`
92×	`associate-+l+_binary64_17061`
90×	`distribute-neg-in_binary64_17089`
86×	`neg-mul-1_binary64_17124` `distribute-rgt-out_binary64_17081`
82×	`distribute-rgt-in_binary64_17078`
81×	`neg-sub0_binary64_17123` `count-2_binary64_17076`
80×	`exp-to-pow_binary64_17190` `distribute-lft-in_binary64_17077`
77×	`log-div_binary64_17215`
56×	`log-pow_binary64_17217`
55×	`associate-/r*_binary64_17072`
54×	`distribute-lft-neg-out_binary64_17087`
53×	`distribute-lft-neg-in_binary64_17085`
52×	`distribute-rgt-neg-out_binary64_17088`
50×	`associate-/l*_binary64_17073`
34×	`*-rgt-identity_binary64_17118`
33×	`*-lft-identity_binary64_17117`
29×	`sub-neg_binary64_17121`
25×	`times-frac_binary64_17134`
22×	`unpow3_binary64_17194`
21×	`associate-/l/_binary64_17075`
20×	`associate--r+_binary64_17064`
17×	`cube-div_binary64_17157` `distribute-neg-frac_binary64_17092`
16×	`pow-plus_binary64_17191` `cube-mult_binary64_17158` `rem-sqrt-square_binary64_17141`
15×	`cube-unmult_binary64_17165`
14×	`log-rec_binary64_17216`
12×	`unsub-neg_binary64_17122`
10×	`unpow1/3_binary64_17195` `div-exp_binary64_17179` `distribute-rgt1-in_binary64_17084`
9×	`prod-exp_binary64_17177` `associate-*r/_binary64_17070` `+-commutative_binary64_17058`
8×	`exp-diff_binary64_17176` `/-rgt-identity_binary64_17119`
6×	`associate-*l/_binary64_17071`
5×	`+-rgt-identity_binary64_17113`
4×	`exp-lft-cube_binary64_17184` `exp-sqrt_binary64_17181` `distribute-lft-out_binary64_17079`
3×	`exp-lft-sqr_binary64_17183` `rem-exp-log_binary64_17168` `distribute-frac-neg_binary64_17091` `associate-/r/_binary64_17074`
2×	`rem-log-exp_binary64_17169` `div-sub_binary64_17133` `+-lft-identity_binary64_17112` `mul0-rgt_binary64_17111` `distribute-neg-out_binary64_17090`
1×	`log-E_binary64_17218` `pow-base-1_binary64_17188` `rec-exp_binary64_17178` `1-exp_binary64_17172` `exp-1-e_binary64_17171` `rem-3cbrt-lft_binary64_17153` `rem-cbrt-cube_binary64_17152` `mul-1-neg_binary64_17120` `*-inverses_binary64_17108` `rgt-mult-inverse_binary64_17105`
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_17391` `erf-erfc_binary64_17390` `erf-odd_binary64_17389` `if-if-and-not_binary64_17388` `if-if-and_binary64_17387` `if-if-or-not_binary64_17386` `if-if-or_binary64_17385` `if-not_binary64_17384` `if-same_binary64_17383` `if-false_binary64_17382` `if-true_binary64_17381` `not-gte_binary64_17380` `not-lte_binary64_17379` `not-gt_binary64_17378` `not-lt_binary64_17377` `gte-same_binary64_17376` `lte-same_binary64_17375` `gt-same_binary64_17374` `lt-same_binary64_17373` `sinh---cosh_binary64_17320` `sinh-+-cosh_binary64_17319` `sinh-cosh_binary64_17318` `tanh-def-c_binary64_17317` `tanh-def-b_binary64_17316` `tanh-def-a_binary64_17315` `cosh-def_binary64_17314` `sinh-def_binary64_17313` `tan-neg_binary64_17260` `cos-neg_binary64_17259` `sin-neg_binary64_17258` `tan-0_binary64_17257` `cos-0_binary64_17256` `sin-0_binary64_17255` `hang-m-tan_binary64_17254` `hang-p-tan_binary64_17253` `hang-m0-tan_binary64_17252` `hang-p0-tan_binary64_17251` `hang-0m-tan_binary64_17250` `hang-0p-tan_binary64_17249` `tan-+PI/2_binary64_17248` `tan-+PI_binary64_17247` `tan-PI_binary64_17246` `tan-PI/3_binary64_17245` `tan-PI/4_binary64_17244` `tan-PI/6_binary64_17243` `cos-+PI/2_binary64_17242` `cos-+PI_binary64_17241` `cos-PI_binary64_17240` `cos-PI/2_binary64_17239` `cos-PI/3_binary64_17238` `cos-PI/4_binary64_17237` `cos-PI/6_binary64_17236` `sin-+PI/2_binary64_17235` `sin-+PI_binary64_17234` `sin-PI_binary64_17233` `sin-PI/2_binary64_17232` `sin-PI/3_binary64_17231` `sin-PI/4_binary64_17230` `sin-PI/6_binary64_17229` `sub-1-sin_binary64_17228` `sub-1-cos_binary64_17227` `-1-add-sin_binary64_17226` `-1-add-cos_binary64_17225` `1-sub-sin_binary64_17224` `1-sub-cos_binary64_17223` `cos-sin-sum_binary64_17222` `pow-base-0_binary64_17212` `unpow2_binary64_17193` `unpow1/2_binary64_17192` `unpow0_binary64_17187` `unpow1_binary64_17186` `unpow-1_binary64_17185` `exp-cbrt_binary64_17182` `exp-neg_binary64_17175` `e-exp-1_binary64_17173` `exp-0_binary64_17170` `cube-neg_binary64_17155` `rem-3cbrt-rft_binary64_17154` `rem-cube-cbrt_binary64_17151` `sqr-abs_binary64_17143` `sqr-neg_binary64_17142` `rem-square-sqrt_binary64_17140` `remove-double-neg_binary64_17116` `sub0-neg_binary64_17115` `--rgt-identity_binary64_17114` `mul0-lft_binary64_17110` `div0_binary64_17109` `+-inverses_binary64_17107` `lft-mult-inverse_binary64_17106` `remove-double-div_binary64_17104` `difference-of-sqr--1_binary64_17099` `difference-of-sqr-1_binary64_17098` `difference-of-squares_binary64_17097` `cancel-sign-sub_binary64_17093` `distribute-lft1-in_binary64_17083` `distribute-rgt-out--_binary64_17082` `distribute-lft-out--_binary64_17080` `associate--r-_binary64_17067` `associate--l-_binary64_17066` `associate--l+_binary64_17065` `associate-+l-_binary64_17063` `associate-+r-_binary64_17062`

Counts

89 → 235

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	121	1150
1	263	1029
2	885	919
3	1645	915
4	3213	871

prune347.0ms (2.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	235	0	235
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	235	6	241

Error

0.0b

Counts

241 → 6

Compiler

Compiled 7208 to 2604 computations (63.9% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite113.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_17159`
23×	`add-sqr-sqrt_binary64_17150`
15×	`add-cube-cbrt_binary64_17163` `*-un-lft-identity_binary64_17128`
11×	`pow1_binary64_17189`
9×	`pow1/3_binary64_17210`
6×	`add-exp-log_binary64_17166` `swap-sqr_binary64_17095` `associate-l_binary64_17069` `associate-r_binary64_17068`
4×	`add-log-exp_binary64_17167` `add-cbrt-cube_binary64_17164` `unswap-sqr_binary64_17096`
2×	`pow-prod-down_binary64_17199` `pow-prod-up_binary64_17198` `pow-sqr_binary64_17101`
1×	`pow2_binary64_17209` `pow-plus_binary64_17191` `prod-exp_binary64_17177` `cbrt-unprod_binary64_17161` `*-commutative_binary64_17059`

Counts

4 → 73

Calls

4 calls:

9.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

Compiler

Compiled 2108 to 719 computations (65.9% saved)

series508.0ms (3.3%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

152.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
120.0ms	(cbrt.f64 z)
112.0ms	(cbrt.f64 z)
110.0ms	(cbrt.f64 z)

Compiler

Compiled 951 to 710 computations (25.3% saved)

simplify334.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

545×	`log-prod_binary64_17214`
427×	`log-div_binary64_17215`
416×	`associate-/l*_binary64_17073`
347×	`associate-l_binary64_17069`
293×	`associate-/r*_binary64_17072`
231×	`associate-r_binary64_17068`
203×	`*-commutative_binary64_17059`
184×	`associate-/r/_binary64_17074`
150×	`distribute-rgt-neg-in_binary64_17086`
144×	`distribute-lft-neg-in_binary64_17085`
140×	`exp-prod_binary64_17180`
128×	`distribute-rgt-in_binary64_17078`
123×	`unswap-sqr_binary64_17096`
112×	`cube-prod_binary64_17156`
95×	`distribute-lft-in_binary64_17077`
86×	`swap-sqr_binary64_17095`
80×	`associate-/l/_binary64_17075`
77×	`sqr-pow_binary64_17100`
55×	`log-pow_binary64_17217` `distribute-rgt-out_binary64_17081`
52×	`times-frac_binary64_17134`
47×	`cancel-sign-sub-inv_binary64_17094`
42×	`associate-+l+_binary64_17061`
39×	`associate-+r+_binary64_17060`
38×	`associate-*l/_binary64_17071`
37×	`pow-sqr_binary64_17101`
30×	`distribute-lft-out_binary64_17079`
29×	`cube-div_binary64_17157`
28×	`distribute-neg-frac_binary64_17092`
24×	`log-rec_binary64_17216` `*-rgt-identity_binary64_17118`
23×	`*-lft-identity_binary64_17117`
22×	`pow-plus_binary64_17191`
21×	`associate-*r/_binary64_17070`
19×	`exp-sqrt_binary64_17181`
18×	`rem-sqrt-square_binary64_17141`
15×	`cube-unmult_binary64_17165`
13×	`neg-mul-1_binary64_17124` `neg-sub0_binary64_17123`
12×	`associate-+l-_binary64_17063`
9×	`exp-lft-sqr_binary64_17183` `distribute-rgt-neg-out_binary64_17088` `distribute-lft-neg-out_binary64_17087`
8×	`distribute-rgt1-in_binary64_17084` `count-2_binary64_17076`
6×	`unpow3_binary64_17194` `associate--l-_binary64_17066` `associate--l+_binary64_17065`
5×	`associate-+r-_binary64_17062` `+-commutative_binary64_17058`
4×	`div-exp_binary64_17179` `prod-exp_binary64_17177` `distribute-rgt-out--_binary64_17082`
3×	`unpow1/3_binary64_17195` `unpow2_binary64_17193` `sub-neg_binary64_17121` `distribute-lft-out--_binary64_17080`
2×	`unpow1_binary64_17186` `rec-exp_binary64_17178` `exp-sum_binary64_17174` `cube-mult_binary64_17158` `rem-3cbrt-lft_binary64_17153` `rem-cbrt-cube_binary64_17152` `/-rgt-identity_binary64_17119` `distribute-lft1-in_binary64_17083`
1×	`pow-base-1_binary64_17188` `exp-diff_binary64_17176` `1-exp_binary64_17172` `exp-1-e_binary64_17171` `rem-log-exp_binary64_17169` `rem-3cbrt-rft_binary64_17154` `rem-square-sqrt_binary64_17140` `mul-1-neg_binary64_17120` `mul0-lft_binary64_17110` `*-inverses_binary64_17108` `distribute-neg-out_binary64_17090`
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_17391` `erf-erfc_binary64_17390` `erf-odd_binary64_17389` `if-if-and-not_binary64_17388` `if-if-and_binary64_17387` `if-if-or-not_binary64_17386` `if-if-or_binary64_17385` `if-not_binary64_17384` `if-same_binary64_17383` `if-false_binary64_17382` `if-true_binary64_17381` `not-gte_binary64_17380` `not-lte_binary64_17379` `not-gt_binary64_17378` `not-lt_binary64_17377` `gte-same_binary64_17376` `lte-same_binary64_17375` `gt-same_binary64_17374` `lt-same_binary64_17373` `sinh---cosh_binary64_17320` `sinh-+-cosh_binary64_17319` `sinh-cosh_binary64_17318` `tanh-def-c_binary64_17317` `tanh-def-b_binary64_17316` `tanh-def-a_binary64_17315` `cosh-def_binary64_17314` `sinh-def_binary64_17313` `tan-neg_binary64_17260` `cos-neg_binary64_17259` `sin-neg_binary64_17258` `tan-0_binary64_17257` `cos-0_binary64_17256` `sin-0_binary64_17255` `hang-m-tan_binary64_17254` `hang-p-tan_binary64_17253` `hang-m0-tan_binary64_17252` `hang-p0-tan_binary64_17251` `hang-0m-tan_binary64_17250` `hang-0p-tan_binary64_17249` `tan-+PI/2_binary64_17248` `tan-+PI_binary64_17247` `tan-PI_binary64_17246` `tan-PI/3_binary64_17245` `tan-PI/4_binary64_17244` `tan-PI/6_binary64_17243` `cos-+PI/2_binary64_17242` `cos-+PI_binary64_17241` `cos-PI_binary64_17240` `cos-PI/2_binary64_17239` `cos-PI/3_binary64_17238` `cos-PI/4_binary64_17237` `cos-PI/6_binary64_17236` `sin-+PI/2_binary64_17235` `sin-+PI_binary64_17234` `sin-PI_binary64_17233` `sin-PI/2_binary64_17232` `sin-PI/3_binary64_17231` `sin-PI/4_binary64_17230` `sin-PI/6_binary64_17229` `sub-1-sin_binary64_17228` `sub-1-cos_binary64_17227` `-1-add-sin_binary64_17226` `-1-add-cos_binary64_17225` `1-sub-sin_binary64_17224` `1-sub-cos_binary64_17223` `cos-sin-sum_binary64_17222` `log-E_binary64_17218` `pow-base-0_binary64_17212` `unpow1/2_binary64_17192` `exp-to-pow_binary64_17190` `unpow0_binary64_17187` `unpow-1_binary64_17185` `exp-lft-cube_binary64_17184` `exp-cbrt_binary64_17182` `exp-neg_binary64_17175` `e-exp-1_binary64_17173` `exp-0_binary64_17170` `rem-exp-log_binary64_17168` `cube-neg_binary64_17155` `rem-cube-cbrt_binary64_17151` `sqr-abs_binary64_17143` `sqr-neg_binary64_17142` `div-sub_binary64_17133` `unsub-neg_binary64_17122` `remove-double-neg_binary64_17116` `sub0-neg_binary64_17115` `--rgt-identity_binary64_17114` `+-rgt-identity_binary64_17113` `+-lft-identity_binary64_17112` `mul0-rgt_binary64_17111` `div0_binary64_17109` `+-inverses_binary64_17107` `lft-mult-inverse_binary64_17106` `rgt-mult-inverse_binary64_17105` `remove-double-div_binary64_17104` `difference-of-sqr--1_binary64_17099` `difference-of-sqr-1_binary64_17098` `difference-of-squares_binary64_17097` `cancel-sign-sub_binary64_17093` `distribute-frac-neg_binary64_17091` `distribute-neg-in_binary64_17089` `associate--r-_binary64_17067` `associate--r+_binary64_17064`

Counts

85 → 83

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	718
1	97	656
2	345	636
3	1343	633
4	4059	633

prune117.0ms (0.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	83	6	89

Error

0.0b

Counts

89 → 6

Compiler

Compiled 2409 to 841 computations (65.1% saved)

regimes2.0s (12.5%)

Accuracy

Total 0.3b remaining (97.5%)

Threshold costs 0.3b (97.5%)

Compiler

Compiled 19972 to 16891 computations (15.4% saved)

bsearch0.0ms (0%)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

61×	`unsub-neg_binary64_17122`
44×	`neg-mul-1_binary64_17124` `neg-sub0_binary64_17123`
33×	`distribute-neg-out_binary64_17090`
15×	`sub-neg_binary64_17121` `distribute-rgt-neg-out_binary64_17088` `distribute-rgt-neg-in_binary64_17086`
14×	`remove-double-neg_binary64_17116` `+-commutative_binary64_17058`
12×	`cancel-sign-sub-inv_binary64_17094` `distribute-neg-in_binary64_17089` `distribute-lft-neg-out_binary64_17087`
11×	`distribute-lft-neg-in_binary64_17085`
10×	`*-commutative_binary64_17059`
1×	`sqr-neg_binary64_17142` `--rgt-identity_binary64_17114`
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_17388` `if-if-and_binary64_17387` `if-if-or-not_binary64_17386` `if-if-or_binary64_17385` `if-not_binary64_17384` `if-same_binary64_17383` `if-false_binary64_17382` `if-true_binary64_17381` `tan-0_binary64_17257` `cos-0_binary64_17256` `sin-0_binary64_17255` `unpow1_binary64_17186` `e-exp-1_binary64_17173` `1-exp_binary64_17172` `exp-1-e_binary64_17171` `exp-0_binary64_17170` `sqr-abs_binary64_17143` `mul-1-neg_binary64_17120` `/-rgt-identity_binary64_17119` `-rgt-identity_binary64_17118` `-lft-identity_binary64_17117` `sub0-neg_binary64_17115` `+-rgt-identity_binary64_17113` `+-lft-identity_binary64_17112` `cancel-sign-sub_binary64_17093` `distribute-neg-frac_binary64_17092` `distribute-frac-neg_binary64_17091`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	43
1	34	43
2	51	43
3	71	43
4	98	43
5	119	43
6	135	43
7	204	43
8	175	43

Proof

(=> (- f64 (+ f64 (* f64 (- f64 h0 1/2) (* f64 2 (log f64 (cbrt f64 h1)))) (* f64 (log f64 (cbrt f64 h1)) (- f64 h0 1/2))) (- f64 (- f64 h1 (log f64 (+ f64 h2 h3))) (log f64 h4))))
sub-neg_binary64_17121 =>
(+ f64 (+ f64 (* f64 (- f64 h0 1/2) (* f64 2 (log f64 (cbrt f64 h1)))) (* f64 (log f64 (cbrt f64 h1)) (- f64 h0 1/2))) (neg f64 (=> (- f64 (- f64 h1 (log f64 (+ f64 h2 h3))) (log f64 h4)))))
sub-neg_binary64_17121 =>
(+ f64 (+ f64 (* f64 (- f64 h0 1/2) (* f64 2 (log f64 (cbrt f64 h1)))) (=> (* f64 (log f64 (cbrt f64 h1)) (- f64 h0 1/2)))) (neg f64 (+ f64 (- f64 h1 (log f64 (+ f64 h2 h3))) (neg f64 (log f64 h4)))))
*-commutative_binary64_17059 =>
(+ f64 (+ f64 (* f64 (- f64 h0 1/2) (* f64 2 (log f64 (cbrt f64 h1)))) (* f64 (- f64 h0 1/2) (log f64 (cbrt f64 h1)))) (neg f64 (=> (+ f64 (- f64 h1 (log f64 (+ f64 h2 h3))) (neg f64 (log f64 h4))))))
+-commutative_binary64_17058 =>
(+ f64 (+ f64 (* f64 (- f64 h0 1/2) (* f64 2 (log f64 (cbrt f64 h1)))) (* f64 (- f64 h0 1/2) (log f64 (cbrt f64 h1)))) (=> (neg f64 (+ f64 (neg f64 (log f64 h4)) (- f64 h1 (log f64 (+ f64 h2 h3)))))))
distribute-neg-in_binary64_17089 =>
(+ f64 (+ f64 (* f64 (- f64 h0 1/2) (* f64 2 (log f64 (cbrt f64 h1)))) (* f64 (- f64 h0 1/2) (log f64 (cbrt f64 h1)))) (+ f64 (=> (neg f64 (neg f64 (log f64 h4)))) (neg f64 (- f64 h1 (log f64 (+ f64 h2 h3))))))
remove-double-neg_binary64_17116 =>
(+ f64 (+ f64 (* f64 (- f64 h0 1/2) (* f64 2 (log f64 (cbrt f64 h1)))) (* f64 (- f64 h0 1/2) (log f64 (cbrt f64 h1)))) (=> (+ f64 (log f64 h4) (neg f64 (- f64 h1 (log f64 (+ f64 h2 h3)))))))
unsub-neg_binary64_17122 =>
(+ f64 (+ f64 (* f64 (- f64 h0 1/2) (* f64 2 (log f64 (cbrt f64 h1)))) (* f64 (- f64 h0 1/2) (log f64 (cbrt f64 h1)))) (- f64 (log f64 h4) (- f64 h1 (log f64 (+ f64 h2 h3)))))

end0.0ms (0%)

sample3.1s (19.9%)

Algorithm

1×

intervals

Results

650.0ms	8000×	body	128	valid
294.0ms	4316×	body	128	nan
3.0ms	39×	body	128	invalid

Compiler

Compiled 1862 to 1572 computations (15.6% saved)

Details

analyze383.0ms (2.5%)

sample51.0ms (0.3%)

simplify543.0ms (3.5%)

prune13.0ms (0.1%)

localize15.0ms (0.1%)

rewrite251.0ms (1.6%)

series2.3s (15%)

simplify591.0ms (3.8%)

prune615.0ms (4%)

localize23.0ms (0.2%)

rewrite222.0ms (1.4%)

series1.6s (10.6%)

simplify377.0ms (2.4%)

prune611.0ms (3.9%)

localize19.0ms (0.1%)

rewrite124.0ms (0.8%)

series898.0ms (5.8%)

simplify337.0ms (2.2%)

prune347.0ms (2.2%)

localize20.0ms (0.1%)

rewrite113.0ms (0.7%)

series508.0ms (3.3%)

simplify334.0ms (2.2%)

prune117.0ms (0.8%)

regimes2.0s (12.5%)

bsearch0.0ms (0%)

simplify12.0ms (0.1%)

end0.0ms (0%)

sample3.1s (19.9%)

Profiling