Details

analyze225.0ms (3.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

478×	`sub-neg_binary64`
434×	`distribute-rgt-in_binary64` `associate-+l+_binary64`
406×	`associate-l_binary64`
374×	`associate-+r+_binary64`
354×	`associate--l+_binary64`
350×	`*-commutative_binary64`
326×	`associate-r_binary64`
291×	`distribute-lft-in_binary64`
286×	`distribute-rgt-out_binary64`
280×	`neg-mul-1_binary64`
244×	`unsub-neg_binary64`
194×	`neg-sub0_binary64`
142×	`associate-+l-_binary64`
130×	`+-commutative_binary64`
119×	`distribute-rgt-neg-out_binary64`
118×	`distribute-lft-neg-out_binary64`
112×	`distribute-lft-out_binary64`
93×	`cancel-sign-sub-inv_binary64`
84×	`associate-+r-_binary64`
58×	`associate--r+_binary64`
40×	`distribute-rgt-neg-in_binary64`
38×	`unswap-sqr_binary64`
29×	`distribute-lft-neg-in_binary64`
22×	`associate--r-_binary64`
20×	`*-rgt-identity_binary64`
19×	`*-lft-identity_binary64`
18×	`distribute-neg-in_binary64`
14×	`sqr-pow_binary64`
8×	`difference-of-sqr--1_binary64`
7×	`pow-plus_binary64`
6×	`mul0-rgt_binary64` `mul0-lft_binary64` `swap-sqr_binary64` `distribute-lft1-in_binary64`
5×	`cube-unmult_binary64`
4×	`difference-of-sqr-1_binary64`
2×	`unpow2_binary64` `mul-1-neg_binary64` `sub0-neg_binary64`
1×	`unpow3_binary64` `unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `cube-prod_binary64` `rem-sqrt-square_binary64` `distribute-rgt1-in_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` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_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` `pow-sqr_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_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	31	92
1	100	92
2	254	92
3	765	92
4	2201	92
5	4207	92
6	4979	92
7	5012	92
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%	56.2%	18.8%	7
25%	48.4%	26.6%	8
25%	35.1%	39.9%	9
28.1%	18.3%	53.6%	10
31.6%	12.3%	56.1%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 32 to 22 computations (31.3% saved)

sample24.0ms (0.4%)

Algorithm

1×

intervals

Results

15.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify60.0ms (1%)

Algorithm

1×	egg-herbie

Rules

669×	`unsub-neg_binary64`
596×	`cancel-sign-sub-inv_binary64`
373×	`neg-mul-1_binary64` `neg-sub0_binary64`
340×	`+-commutative_binary64`
277×	`sub-neg_binary64`
242×	`distribute-rgt-neg-in_binary64`
232×	`associate-+l+_binary64`
220×	`*-commutative_binary64`
212×	`associate-l_binary64`
192×	`associate-+r+_binary64`
188×	`associate--l+_binary64`
185×	`associate-r_binary64`
174×	`distribute-rgt-in_binary64`
149×	`distribute-rgt-out_binary64`
147×	`distribute-lft-in_binary64`
146×	`distribute-neg-in_binary64`
134×	`distribute-lft-neg-out_binary64`
113×	`distribute-rgt-neg-out_binary64`
84×	`unswap-sqr_binary64`
72×	`associate-+l-_binary64`
66×	`cancel-sign-sub_binary64`
45×	`associate-+r-_binary64`
38×	`distribute-lft-out_binary64` `associate--r+_binary64`
27×	`*-rgt-identity_binary64`
26×	`distribute-lft-neg-in_binary64`
20×	`*-lft-identity_binary64`
19×	`sqr-pow_binary64`
11×	`associate--r-_binary64`
10×	`sub0-neg_binary64`
9×	`pow-plus_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
8×	`+-rgt-identity_binary64` `difference-of-sqr--1_binary64`
6×	`cube-unmult_binary64` `swap-sqr_binary64`
5×	`rem-sqrt-square_binary64` `difference-of-sqr-1_binary64` `distribute-lft1-in_binary64`
4×	`distribute-neg-out_binary64`
3×	`unpow2_binary64` `cube-prod_binary64`
2×	`mul-1-neg_binary64`
1×	`unpow3_binary64` `unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `pow-sqr_binary64` `distribute-rgt1-in_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` `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` `difference-of-squares_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`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	46
1	61	46
2	152	46
3	438	46
4	1297	46
5	2508	46
6	4605	46
7	5029	46

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

0.2b

Counts

2 → 1

Compiler

Compiled 62 to 42 computations (32.3% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.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 1 (.f64 3 a)))))) 1)
0.1b	(.f64 (.f64 a a) (+.f64 1 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.7b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

rewrite195.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

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

Counts

4 → 87

Calls

4 calls:

11.0ms	(-.f64 (+.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 1 (.f64 3 a)))))) 1)
11.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
8.0ms	(.f64 (.f64 a a) (+.f64 1 a))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3371 to 1831 computations (45.7% saved)

series226.0ms (3.7%)

Error

0.0b

Counts

4 → 53

Calls

4 calls:

88.0ms	(-.f64 (+.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 1 (.f64 3 a)))))) 1)
56.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
25.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
14.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 2873 to 2227 computations (22.5% saved)

simplify127.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

661×	`distribute-rgt-in_binary64`
611×	`distribute-lft-in_binary64`
247×	`cancel-sign-sub-inv_binary64`
230×	`associate-l_binary64`
188×	`associate-r_binary64`
187×	`exp-prod_binary64`
124×	`exp-sum_binary64`
103×	`*-commutative_binary64`
96×	`unswap-sqr_binary64`
91×	`sub-neg_binary64`
83×	`+-commutative_binary64`
79×	`distribute-rgt-out_binary64`
73×	`distribute-rgt-neg-in_binary64` `associate-+l+_binary64`
67×	`sqr-pow_binary64`
66×	`log-prod_binary64`
64×	`associate--l+_binary64` `associate-+r+_binary64`
62×	`distribute-lft-neg-in_binary64`
47×	`distribute-lft-out_binary64`
30×	`*-lft-identity_binary64`
25×	`*-rgt-identity_binary64`
21×	`distribute-lft-neg-out_binary64`
20×	`pow-plus_binary64` `cube-prod_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `associate--r+_binary64`
19×	`swap-sqr_binary64`
15×	`log-pow_binary64` `distribute-rgt-neg-out_binary64`
13×	`cube-unmult_binary64` `distribute-rgt-out--_binary64`
12×	`unsub-neg_binary64`
11×	`pow-sqr_binary64`
9×	`unpow3_binary64` `unpow1/2_binary64` `exp-diff_binary64`
7×	`unpow2_binary64`
6×	`unpow1_binary64` `div-exp_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out--_binary64`
4×	`exp-lft-cube_binary64` `difference-of-sqr-1_binary64`
3×	`cube-mult_binary64` `mul-1-neg_binary64` `difference-of-sqr--1_binary64` `distribute-lft1-in_binary64` `associate-/l*_binary64`
2×	`prod-exp_binary64` `exp-neg_binary64` `rem-sqrt-square_binary64` `distribute-neg-in_binary64` `count-2_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `div-sub_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-sqr_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-cbrt-cube_binary64` `rem-cube-cbrt_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-squares_binary64` `cancel-sign-sub_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--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

140 → 113

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	208	3479
1	541	3175
2	1803	3066
3	4686	3063
4	5006	3063

prune108.0ms (1.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	110	3	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	111	3	114

Error

0.0b

Counts

114 → 3

Compiler

Compiled 2448 to 1341 computations (45.2% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4)))) (pow.f64 a 4))) (.f64 (.f64 b b) (-.f64 4 (.f64 a 12))))
0.0b	(+.f64 (+.f64 (+.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4)))) (pow.f64 a 4))) (.f64 (.f64 b b) (-.f64 4 (.f64 a 12)))) -1)
0.7b	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))
1.5b	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (*.f64 a 4))))

rewrite288.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

27×	`add-log-exp_binary64`
16×	`sum-log_binary64`
14×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-sqr-sqrt_binary64`
8×	`-un-lft-identity_binary64` `associate-r/_binary64`
6×	`pow-prod-down_binary64` `prod-exp_binary64` `add-cube-cbrt_binary64` `cbrt-unprod_binary64` `associate-r_binary64`
5×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `flip3-+_binary64` `flip-+_binary64`
4×	`sub-neg_binary64` `cancel-sign-sub-inv_binary64` `frac-add_binary64` `associate-+r+_binary64`
3×	`flip3--_binary64` `flip--_binary64`
2×	`unswap-sqr_binary64` `associate-l_binary64` `*-commutative_binary64` `associate-+l+_binary64` `+-commutative_binary64`
1×	`difference-of-sqr--1_binary64` `distribute-lft-out_binary64`

Counts

4 → 87

Calls

4 calls:

26.0ms	(+.f64 (+.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4)))) (pow.f64 a 4))) (.f64 (.f64 b b) (-.f64 4 (.f64 a 12))))
24.0ms	(+.f64 (+.f64 (+.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4)))) (pow.f64 a 4))) (.f64 (.f64 b b) (-.f64 4 (.f64 a 12)))) -1)
13.0ms	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (*.f64 a 4))))
8.0ms	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))

Compiler

Compiled 4746 to 3058 computations (35.6% saved)

series308.0ms (5.1%)

Error

0.0b

Counts

4 → 59

Calls

4 calls:

90.0ms	(+.f64 (+.f64 (+.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4)))) (pow.f64 a 4))) (.f64 (.f64 b b) (-.f64 4 (.f64 a 12)))) -1)
86.0ms	(+.f64 (+.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4)))) (pow.f64 a 4))) (.f64 (.f64 b b) (-.f64 4 (.f64 a 12))))
45.0ms	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (*.f64 a 4))))
29.0ms	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))

Compiler

Compiled 3301 to 2730 computations (17.3% saved)

simplify175.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

435×	`cancel-sign-sub-inv_binary64`
374×	`associate-l_binary64`
321×	`associate-r_binary64`
252×	`distribute-rgt-in_binary64`
237×	`distribute-lft-in_binary64`
234×	`exp-prod_binary64`
222×	`*-commutative_binary64`
154×	`distribute-neg-in_binary64`
152×	`sub-neg_binary64`
140×	`unswap-sqr_binary64`
132×	`+-commutative_binary64`
119×	`associate-+l+_binary64`
100×	`associate-+r+_binary64`
97×	`associate--l+_binary64`
76×	`exp-sum_binary64`
69×	`sqr-pow_binary64`
51×	`neg-sub0_binary64`
48×	`neg-mul-1_binary64`
47×	`distribute-rgt-neg-out_binary64`
44×	`cube-prod_binary64`
42×	`log-prod_binary64`
40×	`swap-sqr_binary64`
39×	`unsub-neg_binary64`
36×	`associate--r+_binary64`
34×	`distribute-rgt-neg-in_binary64`
26×	`*-rgt-identity_binary64`
25×	`distribute-lft-neg-in_binary64`
23×	`unpow3_binary64` `*-lft-identity_binary64` `distribute-rgt-out_binary64`
21×	`prod-exp_binary64`
13×	`pow-plus_binary64` `cube-mult_binary64`
12×	`distribute-lft-neg-out_binary64`
7×	`exp-diff_binary64`
6×	`exp-lft-sqr_binary64` `pow-sqr_binary64` `distribute-lft-out_binary64`
5×	`cube-unmult_binary64` `mul-1-neg_binary64` `difference-of-squares_binary64` `distribute-rgt-out--_binary64`
4×	`log-pow_binary64` `unpow1/2_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64`
3×	`associate-+l-_binary64` `associate-+r-_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `count-2_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `div-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_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` `div-exp_binary64` `rec-exp_binary64` `exp-neg_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` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_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` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

146 → 111

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	254	5934
1	822	5426
2	3317	5409
3	4871	5409
4	5007	5409

prune156.0ms (2.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	109	2	111
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	109	5	114

Error

0.0b

Counts

114 → 5

Compiler

Compiled 3546 to 2343 computations (33.9% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (*.f64 a a) (pow.f64 a 3))
0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (+.f64 (.f64 4 (+.f64 (.f64 (-.f64 1 (.f64 3 a)) (.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3)))) -1))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.7b	(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))

rewrite234.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`add-log-exp_binary64`
10×	`pow1_binary64` `add-exp-log_binary64`
9×	`add-cbrt-cube_binary64` `*-un-lft-identity_binary64`
8×	`add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64`
4×	`sum-log_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `unpow-prod-down_binary64` `pow-unpow_binary64`
2×	`associate-*l/_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64` `cube-mult_binary64`
1×	`unswap-sqr_binary64` `flip3--_binary64` `flip--_binary64` `associate-r_binary64` `*-commutative_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `unpow2_binary64` `sqr-pow_binary64` `associate-+r+_binary64` `distribute-rgt1-in_binary64` `unpow3_binary64` `distribute-rgt-out_binary64`

Counts

4 → 67

Calls

4 calls:

21.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (+.f64 (.f64 4 (+.f64 (.f64 (-.f64 1 (.f64 3 a)) (.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3)))) -1))
8.0ms	(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
6.0ms	(+.f64 (*.f64 a a) (pow.f64 a 3))
4.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 2653 to 1435 computations (45.9% saved)

series240.0ms (4%)

Error

0.0b

Counts

4 → 53

Calls

4 calls:

88.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (+.f64 (.f64 4 (+.f64 (.f64 (-.f64 1 (.f64 3 a)) (.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3)))) -1))
55.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
27.0ms	(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
17.0ms	(+.f64 (*.f64 a a) (pow.f64 a 3))

Compiler

Compiled 2873 to 2227 computations (22.5% saved)

simplify120.0ms (2%)

Algorithm

1×	egg-herbie

Rules

639×	`distribute-rgt-in_binary64`
594×	`distribute-lft-in_binary64`
330×	`cancel-sign-sub-inv_binary64`
149×	`exp-prod_binary64`
127×	`distribute-rgt-out_binary64`
126×	`associate-r_binary64`
121×	`associate-l_binary64`
119×	`sub-neg_binary64`
111×	`distribute-rgt-neg-in_binary64`
105×	`unswap-sqr_binary64`
96×	`distribute-lft-neg-in_binary64`
82×	`distribute-lft-out_binary64`
81×	`+-commutative_binary64`
74×	`*-commutative_binary64`
67×	`sqr-pow_binary64`
63×	`associate-+l+_binary64`
62×	`associate--l+_binary64`
61×	`associate-+r+_binary64`
54×	`log-prod_binary64`
44×	`distribute-neg-in_binary64`
37×	`exp-sum_binary64`
34×	`distribute-rgt-out--_binary64`
31×	`neg-mul-1_binary64` `neg-sub0_binary64`
30×	`associate--r+_binary64`
26×	`unsub-neg_binary64`
25×	`distribute-lft-neg-out_binary64`
20×	`pow-plus_binary64`
19×	`difference-of-squares_binary64`
17×	`unpow3_binary64` `distribute-rgt1-in_binary64`
15×	`log-pow_binary64` `cube-prod_binary64`
14×	`distribute-lft-out--_binary64`
13×	`pow-sqr_binary64`
12×	`swap-sqr_binary64`
11×	`distribute-rgt-neg-out_binary64`
9×	`cube-unmult_binary64`
7×	`unpow2_binary64`
6×	`unpow1/2_binary64` `unpow1_binary64` `prod-exp_binary64` `cube-mult_binary64` `-rgt-identity_binary64` `-lft-identity_binary64`
4×	`exp-lft-cube_binary64`
3×	`exp-diff_binary64`
2×	`rem-sqrt-square_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-square-sqrt_binary64` `distribute-neg-out_binary64` `count-2_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` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `times-frac_binary64` `div-sub_binary64` `/-rgt-identity_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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

120 → 89

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	175	2983
1	502	2694
2	1636	2640
3	4903	2640
4	5093	2640

prune154.0ms (2.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	89	5	94

Error

0.0b

Counts

94 → 5

Compiler

Compiled 2360 to 1363 computations (42.2% saved)

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.7b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
0.7b	(pow.f64 (cbrt.f64 (+.f64 (.f64 b b) (.f64 a a))) 4)
10.2b	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))
10.2b	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))

rewrite240.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`add-sqr-sqrt_binary64`
10×	`pow1_binary64` `add-exp-log_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
9×	`add-cbrt-cube_binary64` `cbrt-prod_binary64`
6×	`unpow-prod-down_binary64`
4×	`add-log-exp_binary64` `cbrt-div_binary64`
3×	`pow1/3_binary64` `pow-unpow_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-r_binary64`
2×	`flip3-+_binary64` `flip-+_binary64` `pow-pow_binary64` `sub-neg_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64` `distribute-lft-in_binary64` `associate-*r/_binary64`
1×	`pow-to-exp_binary64` `pow-exp_binary64` `sqr-pow_binary64` `unswap-sqr_binary64` `flip3--_binary64` `flip--_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
5.0ms	(pow.f64 (cbrt.f64 (+.f64 (.f64 b b) (.f64 a a))) 4)
4.0ms	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))
4.0ms	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))

Compiler

Compiled 3584 to 1575 computations (56.1% saved)

series257.0ms (4.2%)

Error

0.0b

Counts

4 → 41

Calls

4 calls:

99.0ms	(pow.f64 (cbrt.f64 (+.f64 (.f64 b b) (.f64 a a))) 4)
55.0ms	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))
29.0ms	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))
27.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

Compiler

Compiled 3958 to 2786 computations (29.6% saved)

simplify139.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

487×	`associate-+l+_binary64`
450×	`unswap-sqr_binary64`
313×	`*-commutative_binary64`
162×	`associate-l_binary64`
156×	`distribute-rgt-in_binary64`
149×	`cancel-sign-sub-inv_binary64` `associate-r_binary64`
146×	`distribute-lft-in_binary64`
142×	`sqr-pow_binary64`
135×	`distribute-rgt-neg-in_binary64`
115×	`distribute-lft-neg-in_binary64`
114×	`distribute-lft-neg-out_binary64`
108×	`log-prod_binary64`
101×	`distribute-rgt-neg-out_binary64`
80×	`exp-prod_binary64`
63×	`associate-/r*_binary64`
59×	`sub-neg_binary64`
53×	`neg-sub0_binary64`
52×	`neg-mul-1_binary64` `unsub-neg_binary64`
44×	`difference-of-squares_binary64`
43×	`associate-+l-_binary64`
34×	`associate-/l/_binary64`
33×	`cube-prod_binary64`
30×	`+-commutative_binary64`
29×	`-rgt-identity_binary64` `-lft-identity_binary64` `distribute-rgt-out_binary64`
28×	`log-pow_binary64`
25×	`associate-/l*_binary64` `associate-+r-_binary64`
23×	`pow-sqr_binary64` `swap-sqr_binary64`
20×	`distribute-rgt-out--_binary64`
19×	`unpow3_binary64`
18×	`exp-sum_binary64`
17×	`pow-plus_binary64`
10×	`unpow1/2_binary64`
9×	`unpow2_binary64` `unpow1_binary64` `cube-unmult_binary64`
8×	`exp-diff_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
7×	`sub0-neg_binary64` `associate-+r+_binary64`
6×	`unpow1/3_binary64` `+-rgt-identity_binary64`
5×	`cube-mult_binary64` `rem-sqrt-square_binary64` `count-2_binary64` `associate-*r/_binary64`
4×	`exp-lft-cube_binary64` `div-sub_binary64` `distribute-neg-in_binary64` `distribute-lft-out_binary64` `associate--r+_binary64`
2×	`difference-of-sqr-1_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `associate-/r/_binary64` `associate-*l/_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `distribute-lft-out--_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` `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` `prod-exp_binary64` `exp-neg_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-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_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` `difference-of-sqr--1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

113 → 102

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	147	2027
1	365	1889
2	1072	1886
3	2097	1881
4	4911	1881
5	4967	1881
6	4912	1881

prune186.0ms (3.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	102	5	107

Error

0.0b

Counts

107 → 5

Compiler

Compiled 3053 to 1434 computations (53% saved)

regimes1.3s (21.6%)

Accuracy

Total 0.0b remaining (49.8%)

Threshold costs 0.0b (49.8%)

Compiler

Compiled 28651 to 20309 computations (29.1% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative_binary64`
7×	`*-commutative_binary64`
3×	`sub-neg_binary64`
2×	`neg-mul-1_binary64` `neg-sub0_binary64` `cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64`
1×	`distribute-lft-neg-out_binary64` `distribute-lft-neg-in_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` `1-exp_binary64` `exp-1-e_binary64` `exp-0_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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	52
1	39	52
2	49	52
3	53	52
4	55	52
5	54	52

end1.0ms (0%)

Compiler: Compiled 35 to 26 computations (25.7% saved)

sample1.2s (19.9%)

Algorithm

1×

intervals

Results

689.0ms	8000×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 419 to 298 computations (28.9% saved)

Details

analyze225.0ms (3.7%)

sample24.0ms (0.4%)

simplify60.0ms (1%)

prune3.0ms (0%)

localize16.0ms (0.3%)

rewrite195.0ms (3.2%)

series226.0ms (3.7%)

simplify127.0ms (2.1%)

prune108.0ms (1.8%)

localize19.0ms (0.3%)

rewrite288.0ms (4.8%)

series308.0ms (5.1%)

simplify175.0ms (2.9%)

prune156.0ms (2.6%)

localize16.0ms (0.3%)

rewrite234.0ms (3.9%)

series240.0ms (4%)

simplify120.0ms (2%)

prune154.0ms (2.5%)

localize24.0ms (0.4%)

rewrite240.0ms (4%)

series257.0ms (4.2%)

simplify139.0ms (2.3%)

prune186.0ms (3.1%)

regimes1.3s (21.6%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample1.2s (19.9%)

Profiling