Details

analyze214.0ms (7.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

511×	`unsub-neg_binary64`
501×	`sub-neg_binary64`
352×	`associate--l+_binary64`
328×	`associate-+l+_binary64`
312×	`neg-mul-1_binary64`
308×	`neg-sub0_binary64`
296×	`associate-+r+_binary64`
251×	`associate-l_binary64`
245×	`distribute-rgt-neg-in_binary64`
243×	`distribute-rgt-in_binary64`
232×	`distribute-rgt-out_binary64`
217×	`associate-r_binary64`
205×	`distribute-neg-in_binary64`
185×	`distribute-lft-in_binary64`
179×	`*-commutative_binary64`
144×	`associate-+l-_binary64`
131×	`+-commutative_binary64`
101×	`distribute-lft-neg-out_binary64`
92×	`associate-+r-_binary64`
88×	`distribute-rgt-neg-out_binary64`
84×	`unswap-sqr_binary64`
81×	`cancel-sign-sub-inv_binary64`
58×	`associate--r+_binary64`
40×	`*-rgt-identity_binary64`
36×	`cancel-sign-sub_binary64`
28×	`distribute-lft-out_binary64`
27×	`*-lft-identity_binary64`
23×	`remove-double-neg_binary64`
22×	`associate--r-_binary64`
20×	`sub0-neg_binary64` `sqr-pow_binary64` `distribute-lft-neg-in_binary64`
16×	`+-rgt-identity_binary64`
10×	`pow-plus_binary64`
8×	`mul0-rgt_binary64` `mul0-lft_binary64` `difference-of-sqr--1_binary64`
6×	`cube-unmult_binary64` `difference-of-squares_binary64` `swap-sqr_binary64` `distribute-lft1-in_binary64`
5×	`unpow2_binary64` `fabs-mul_binary64` `rem-sqrt-square_binary64` `difference-of-sqr-1_binary64`
3×	`cube-prod_binary64` `mul-1-neg_binary64`
2×	`unpow3_binary64` `fabs-sqr_binary64` `--rgt-identity_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64`
1×	`unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `pow-sqr_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	86
1	90	86
2	258	86
3	660	86
4	1912	86
5	3407	86
6	4577	86
7	4999	86
8	4924	86
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
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
25%	53.1%	22%	7
25%	46.8%	28.2%	8
25%	33.6%	41.5%	9
28.1%	18%	54%	10
31.6%	12.1%	56.3%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 30 to 20 computations (33.3% saved)

sample23.0ms (0.8%)

Algorithm

1×

intervals

Results

15.0ms

256×

body

128

valid

Compiler

Compiled 59 to 41 computations (30.5% saved)

simplify79.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

705×	`unsub-neg_binary64`
556×	`cancel-sign-sub-inv_binary64`
344×	`+-commutative_binary64`
342×	`distribute-rgt-in_binary64`
317×	`sub-neg_binary64`
271×	`associate-l_binary64`
266×	`distribute-rgt-neg-in_binary64`
248×	`distribute-lft-in_binary64`
233×	`neg-sub0_binary64`
226×	`neg-mul-1_binary64`
213×	`associate-r_binary64`
206×	`distribute-lft-neg-in_binary64`
185×	`associate--l+_binary64`
173×	`associate-+l+_binary64`
162×	`unswap-sqr_binary64`
155×	`distribute-rgt-out_binary64`
153×	`distribute-neg-in_binary64`
151×	`associate-+r+_binary64`
102×	`*-commutative_binary64`
76×	`distribute-lft-out_binary64`
73×	`associate-+l-_binary64`
64×	`distribute-lft-neg-out_binary64`
48×	`associate-+r-_binary64`
45×	`difference-of-sqr--1_binary64`
44×	`remove-double-neg_binary64`
43×	`distribute-rgt-neg-out_binary64`
41×	`*-rgt-identity_binary64`
38×	`associate--r+_binary64`
31×	`sqr-pow_binary64`
29×	`*-lft-identity_binary64`
25×	`fabs-mul_binary64`
23×	`cube-prod_binary64`
13×	`pow-plus_binary64`
11×	`sub0-neg_binary64` `associate--r-_binary64`
9×	`mul-1-neg_binary64` `+-rgt-identity_binary64` `distribute-rgt-out--_binary64`
7×	`mul0-rgt_binary64` `mul0-lft_binary64` `distribute-lft1-in_binary64`
6×	`unpow3_binary64` `cube-unmult_binary64` `swap-sqr_binary64` `distribute-rgt1-in_binary64`
5×	`unpow2_binary64` `fabs-sqr_binary64` `sqr-neg_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64`
4×	`difference-of-squares_binary64`
3×	`unpow1_binary64` `cube-neg_binary64` `rem-sqrt-square_binary64` `pow-sqr_binary64`
2×	`cube-mult_binary64` `fabs-neg_binary64` `fabs-sub_binary64`
1×	`unpow1/2_binary64` `1-exp_binary64` `--rgt-identity_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--l-_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	43
1	55	43
2	150	43
3	389	43
4	1083	43
5	2233	43
6	4336	43
7	4724	43
8	4930	43

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.2b

Counts

2 → 1

Compiler

Compiled 58 to 38 computations (34.5% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.6b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite189.0ms (6.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

15×	`pow1_binary64` `add-exp-log_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
14×	`add-cbrt-cube_binary64`
10×	`add-cube-cbrt_binary64` `associate-r_binary64`
6×	`pow-prod-down_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `cancel-sign-sub-inv_binary64`
4×	`associate-*r/_binary64`
3×	`unpow-prod-down_binary64` `pow-unpow_binary64`
2×	`unswap-sqr_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-l_binary64` `*-commutative_binary64` `sub-neg_binary64` `difference-of-squares_binary64` `associate-+r+_binary64`
1×	`distribute-lft-out_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `unpow2_binary64` `sqr-pow_binary64` `flip3--_binary64` `flip--_binary64` `distribute-lft-out--_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

11.0ms	(.f64 (.f64 b b) (+.f64 3 a))
9.0ms	(.f64 (.f64 a a) (-.f64 1 a))
9.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
4.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3139 to 1575 computations (49.8% saved)

series228.0ms (7.6%)

Error

Counts

4 → 53

Calls

4 calls:

89.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
56.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
22.0ms	(.f64 (.f64 b b) (+.f64 3 a))
14.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 2860 to 2205 computations (22.9% saved)

simplify143.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

534×	`associate-+l+_binary64`
345×	`associate-+r+_binary64`
267×	`associate-l_binary64`
226×	`exp-prod_binary64`
217×	`associate-r_binary64` `+-commutative_binary64`
212×	`cancel-sign-sub-inv_binary64`
148×	`associate--l+_binary64`
139×	`neg-mul-1_binary64`
138×	`neg-sub0_binary64`
136×	`*-commutative_binary64`
117×	`distribute-rgt-out_binary64`
107×	`distribute-rgt-in_binary64`
106×	`exp-sum_binary64`
102×	`log-prod_binary64`
101×	`distribute-lft-in_binary64`
97×	`unswap-sqr_binary64`
69×	`distribute-rgt-neg-in_binary64`
67×	`distribute-lft-out_binary64`
66×	`sqr-pow_binary64`
61×	`cube-prod_binary64`
58×	`distribute-lft-neg-in_binary64`
51×	`associate--r+_binary64`
45×	`distribute-lft-neg-out_binary64`
43×	`sub-neg_binary64` `distribute-rgt-neg-out_binary64`
39×	`unpow3_binary64` `distribute-neg-in_binary64`
28×	`log-pow_binary64` `associate-+r-_binary64`
27×	`*-lft-identity_binary64`
26×	`associate-+l-_binary64`
22×	`exp-diff_binary64` `*-rgt-identity_binary64`
20×	`swap-sqr_binary64` `distribute-rgt-out--_binary64`
18×	`cube-unmult_binary64`
17×	`pow-plus_binary64` `fabs-mul_binary64`
16×	`unsub-neg_binary64`
14×	`rem-sqrt-square_binary64`
13×	`exp-neg_binary64`
12×	`pow-sqr_binary64`
10×	`cube-mult_binary64`
8×	`unpow1/2_binary64`
7×	`unpow2_binary64` `div-sub_binary64` `distribute-lft-out--_binary64`
6×	`unpow1_binary64`
4×	`difference-of-squares_binary64`
3×	`associate-/l/_binary64` `associate-*r/_binary64`
2×	`exp-lft-cube_binary64` `fabs-sqr_binary64` `rem-square-sqrt_binary64` `count-2_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `mul-1-neg_binary64` `distribute-rgt1-in_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `times-frac_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `associate-/r_binary64` `associate-*l/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

140 → 115

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	215	2919
1	585	2604
2	1868	2508
3	4258	2504
4	4953	2504
5	4946	2504

prune96.0ms (3.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	114	2	116

Error

Counts

116 → 2

Compiler

Compiled 2285 to 1204 computations (47.3% saved)

localize19.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3)))
0.0b	(+.f64 (pow.f64 a 4) (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))))
0.0b	(-.f64 (*.f64 a a) (pow.f64 a 3))
1.9b	(.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))))

rewrite252.0ms (8.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

60×	`cancel-sign-sub-inv_binary64`
31×	`add-sqr-sqrt_binary64`
27×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
26×	`associate-+r+_binary64`
22×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
17×	`unpow-prod-down_binary64` `cube-prod_binary64`
12×	`associate-r_binary64`
11×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64` `difference-of-squares_binary64`
7×	`sqr-pow_binary64` `unpow3_binary64` `cube-mult_binary64`
5×	`sub-neg_binary64`
4×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `associate-l*_binary64`
2×	`unswap-sqr_binary64` `flip3-+_binary64` `flip-+_binary64` `*-commutative_binary64` `flip3--_binary64` `flip--_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64`
1×	`diff-log_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 141

Calls

4 calls:

11.0ms	(.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3)))
9.0ms	(-.f64 (*.f64 a a) (pow.f64 a 3))
8.0ms	(+.f64 (pow.f64 a 4) (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))))
7.0ms	(.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))))

Compiler

Compiled 5024 to 3391 computations (32.5% saved)

series115.0ms (3.8%)

Error

Counts

4 → 27

Calls

4 calls:

28.0ms	(+.f64 (pow.f64 a 4) (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))))
28.0ms	(.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))))
18.0ms	(.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3)))
16.0ms	(-.f64 (*.f64 a a) (pow.f64 a 3))

Compiler

Compiled 1745 to 1409 computations (19.3% saved)

simplify121.0ms (4%)

Algorithm

1×	egg-herbie

Rules

692×	`exp-prod_binary64`
432×	`cancel-sign-sub-inv_binary64`
302×	`associate-l_binary64`
289×	`associate-r_binary64`
279×	`distribute-rgt-out_binary64`
248×	`distribute-rgt-neg-in_binary64`
226×	`distribute-lft-neg-in_binary64`
162×	`*-commutative_binary64`
146×	`log-prod_binary64`
112×	`distribute-rgt-in_binary64`
107×	`distribute-lft-in_binary64`
93×	`distribute-rgt-out--_binary64`
89×	`cube-prod_binary64`
84×	`difference-of-squares_binary64`
79×	`distribute-lft-neg-out_binary64`
73×	`swap-sqr_binary64`
72×	`unpow3_binary64` `sqr-pow_binary64`
59×	`distribute-lft-out--_binary64`
57×	`sub-neg_binary64`
55×	`distribute-rgt-neg-out_binary64`
45×	`neg-mul-1_binary64` `neg-sub0_binary64`
43×	`+-commutative_binary64`
36×	`unswap-sqr_binary64`
34×	`distribute-neg-in_binary64`
28×	`exp-sum_binary64`
25×	`pow-plus_binary64`
20×	`distribute-rgt1-in_binary64`
17×	`pow-sqr_binary64`
14×	`unsub-neg_binary64`
13×	`*-rgt-identity_binary64`
12×	`*-lft-identity_binary64`
10×	`cube-mult_binary64`
9×	`cube-unmult_binary64`
8×	`log-pow_binary64` `rem-sqrt-square_binary64` `associate-+l+_binary64`
7×	`exp-diff_binary64`
6×	`associate-+r-_binary64` `associate-+r+_binary64`
4×	`cancel-sign-sub_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `remove-double-neg_binary64` `distribute-lft1-in_binary64` `associate--l+_binary64`
2×	`unpow1_binary64` `exp-lft-sqr_binary64` `exp-neg_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `+-rgt-identity_binary64` `distribute-lft-out_binary64` `associate-+l-_binary64`
1×	`div-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `mul-1-neg_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--r+_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `times-frac_binary64` `/-rgt-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Counts

168 → 139

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	207	2721
1	512	2514
2	2075	2499
3	4334	2475
4	4945	2475

prune118.0ms (3.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	139	2	141

Error

Counts

141 → 2

Compiler

Compiled 2766 to 1904 computations (31.2% saved)

regimes539.0ms (17.9%)

Accuracy

Total 0.0b remaining (36.3%)

Threshold costs 0.0b (36.3%)

Compiler

Compiled 10909 to 7871 computations (27.8% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64` `+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-mul-1_binary64` `neg-sub0_binary64` `cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
1×	`1-exp_binary64`
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` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	67
1	50	67
2	57	67
3	61	67
4	64	67
5	65	67
6	62	67

end2.0ms (0.1%)

Compiler: Compiled 45 to 38 computations (15.6% saved)

sample847.0ms (28.2%)

Algorithm

1×

intervals

Results

476.0ms	8000×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 140 to 114 computations (18.6% saved)

Details

analyze214.0ms (7.1%)

sample23.0ms (0.8%)

simplify79.0ms (2.6%)

prune3.0ms (0.1%)

localize15.0ms (0.5%)

rewrite189.0ms (6.3%)

series228.0ms (7.6%)

simplify143.0ms (4.8%)

prune96.0ms (3.2%)

localize19.0ms (0.6%)

rewrite252.0ms (8.4%)

series115.0ms (3.8%)

simplify121.0ms (4%)

prune118.0ms (3.9%)

regimes539.0ms (17.9%)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

end2.0ms (0.1%)

sample847.0ms (28.2%)

Profiling