Details

analyze2.0s (18.4%)

Algorithm

1×	search
2×	egg-herbie

Rules

1154×	`associate-*r/_binary64`
696×	`associate-/r/_binary64`
564×	`associate-/l/_binary64`
492×	`unswap-sqr_binary64`
376×	`times-frac_binary64`
307×	`associate-*l/_binary64`
300×	`associate-/r*_binary64`
296×	`associate-/l*_binary64`
280×	`sqr-pow_binary64`
164×	`associate-l_binary64`
156×	`associate-r_binary64`
104×	`*-commutative_binary64`
72×	`pow-sqr_binary64`
60×	`pow-plus_binary64`
44×	`swap-sqr_binary64`
40×	`rem-sqrt-square_binary64`
28×	`cube-prod_binary64`
24×	`unpow3_binary64`
20×	`unpow2_binary64` `cube-unmult_binary64`
16×	`unpow1_binary64`
12×	`unpow1/2_binary64`
8×	`cube-mult_binary64`
4×	`+-commutative_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` `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` `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` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-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` `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` `difference-of-squares_binary64` `cancel-sign-sub-inv_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` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	148
1	112	148
2	271	148
3	756	148
4	2792	148
5	3544	148
6	3772	148
7	4300	148
8	4407	148
9	4516	148
10	5366	148
0	3	3
1	3	3

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
15.6%	84.3%	0.1%	8
15.6%	84.3%	0.1%	9
15.6%	84.3%	0.1%	10
30.4%	69.4%	0.1%	11
30.4%	69.4%	0.1%	12
30.4%	69.4%	0.1%	13
39.6%	60.3%	0.1%	14

Compiler

Compiled 25 to 23 computations (8% saved)

sample88.0ms (0.8%)

Algorithm

1×

intervals

Results

36.0ms	67×	body	1024	valid
20.0ms	135×	body	128	valid
16.0ms	42×	body	512	valid
3.0ms	12×	body	256	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 49 to 48 computations (2% saved)

simplify90.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1043×	`associate-*l/_binary64`
692×	`associate-/l/_binary64`
651×	`associate-/r/_binary64`
525×	`associate-*r/_binary64`
474×	`associate-/l*_binary64`
398×	`times-frac_binary64`
330×	`unswap-sqr_binary64`
263×	`sqr-pow_binary64`
246×	`associate-/r*_binary64`
210×	`associate-l_binary64`
155×	`associate-r_binary64`
98×	`pow-sqr_binary64`
72×	`cube-prod_binary64`
66×	`*-commutative_binary64`
48×	`unpow3_binary64`
42×	`cube-mult_binary64`
36×	`pow-plus_binary64`
20×	`rem-sqrt-square_binary64`
12×	`swap-sqr_binary64`
7×	`unpow2_binary64` `unpow1_binary64`
6×	`unpow1/2_binary64`
5×	`cube-unmult_binary64`
1×	`1-exp_binary64` `+-commutative_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` `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` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-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` `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` `difference-of-squares_binary64` `cancel-sign-sub-inv_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` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	37
1	37	37
2	81	37
3	206	37
4	726	37
5	2240	37
6	2389	37
7	2768	37
8	2812	37
9	2915	37
10	3034	37
11	4545	37
12	4766	37
13	4871	37

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

17.9b

Counts

2 → 1

Compiler

Compiled 48 to 44 computations (8.3% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2)))
0.2b	(pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)
7.1b	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))))
9.7b	(sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))

rewrite229.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

17.9b

Rules

28×	`add-exp-log_binary64`
20×	`pow1_binary64`
18×	`add-cbrt-cube_binary64`
15×	`*-un-lft-identity_binary64`
12×	`add-sqr-sqrt_binary64` `prod-exp_binary64`
11×	`add-cube-cbrt_binary64`
10×	`associate-r_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64`
8×	`sqrt-prod_binary64`
7×	`unpow-prod-down_binary64`
4×	`add-log-exp_binary64` `sqrt-div_binary64` `pow-exp_binary64`
3×	`times-frac_binary64` `pow-unpow_binary64` `div-exp_binary64`
2×	`flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `associate-r/_binary64` `associate-l_binary64` `-commutative_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `div-inv_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `unpow2_binary64` `sqr-pow_binary64`

Counts

4 → 86

Calls

4 calls:

15.0ms	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))))
8.0ms	(sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))
7.0ms	(pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)
5.0ms	(.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2)))

Compiler

Compiled 2847 to 2286 computations (19.7% saved)

series435.0ms (4.1%)

Error

0.1b

Counts

4 → 57

Calls

4 calls:

183.0ms	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))))
103.0ms	(sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))
67.0ms	(pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)
32.0ms	(.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2)))

Compiler

Compiled 3944 to 3405 computations (13.7% saved)

simplify213.0ms (2%)

Algorithm

1×	egg-herbie

Rules

320×	`associate-l_binary64`
247×	`associate-r_binary64`
243×	`cancel-sign-sub-inv_binary64`
197×	`distribute-rgt-in_binary64`
187×	`*-commutative_binary64`
177×	`distribute-lft-in_binary64`
140×	`unswap-sqr_binary64`
125×	`distribute-rgt-neg-in_binary64`
120×	`log-prod_binary64`
115×	`sub-neg_binary64`
107×	`distribute-lft-neg-in_binary64`
105×	`sqr-pow_binary64`
95×	`cube-prod_binary64`
88×	`exp-prod_binary64`
72×	`distribute-neg-in_binary64`
71×	`times-frac_binary64`
68×	`distribute-neg-frac_binary64` `associate-/r*_binary64`
67×	`+-commutative_binary64`
65×	`associate-/l/_binary64` `associate-/l*_binary64`
64×	`unpow3_binary64`
62×	`associate-*r/_binary64`
56×	`distribute-lft-neg-out_binary64`
51×	`neg-sub0_binary64`
50×	`neg-mul-1_binary64`
48×	`associate-*l/_binary64`
43×	`swap-sqr_binary64`
41×	`associate-+l+_binary64`
39×	`distribute-rgt-neg-out_binary64` `associate-+r+_binary64`
37×	`associate--r+_binary64`
32×	`log-pow_binary64`
29×	`distribute-rgt-out_binary64`
27×	`*-lft-identity_binary64`
26×	`cube-mult_binary64` `rem-sqrt-square_binary64`
23×	`unsub-neg_binary64`
22×	`associate--l+_binary64`
21×	`cube-unmult_binary64`
20×	`*-rgt-identity_binary64`
18×	`unpow1/2_binary64`
15×	`log-div_binary64` `unpow2_binary64` `unpow1_binary64`
14×	`cube-div_binary64`
13×	`pow-plus_binary64` `distribute-lft-out--_binary64`
12×	`distribute-rgt-out--_binary64`
11×	`associate-/r/_binary64`
10×	`pow-sqr_binary64`
9×	`cube-neg_binary64` `sqr-neg_binary64`
7×	`exp-neg_binary64`
5×	`distribute-rgt1-in_binary64`
4×	`distribute-lft-out_binary64`
3×	`associate-+r-_binary64`
2×	`exp-lft-sqr_binary64` `rem-square-sqrt_binary64` `+-rgt-identity_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64`
1×	`unpow-1_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-sum_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `mul-1-neg_binary64` `distribute-lft1-in_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` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `exp-lft-cube_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` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `remove-double-neg_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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

143 → 111

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	292	4519
1	749	4163
2	2706	4021
3	4693	4021
4	4960	4021
5	4999	4021
6	4940	4021

prune94.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	106	5	111
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	106	6	112

Error

0.0b

Counts

112 → 6

Compiler

Compiled 2293 to 1717 computations (25.1% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

7.1b	(.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) (.f64 (*.f64 J -2) (cos.f64 (/.f64 K 2))))
9.7b	(sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))
9.7b	(sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))
9.7b	(sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))

rewrite223.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`*-un-lft-identity_binary64`
16×	`pow1_binary64` `sqrt-prod_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`add-sqr-sqrt_binary64`
9×	`add-cube-cbrt_binary64`
8×	`sqrt-div_binary64`
7×	`associate-l_binary64`
6×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
4×	`add-log-exp_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64`
3×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
2×	`associate-*l/_binary64`
1×	`associate-r_binary64` `*-commutative_binary64`

Counts

4 → 75

Calls

4 calls:

16.0ms	(.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) (.f64 (*.f64 J -2) (cos.f64 (/.f64 K 2))))
11.0ms	(sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))
8.0ms	(sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))
8.0ms	(sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))

Compiler

Compiled 5977 to 4842 computations (19% saved)

series731.0ms (6.8%)

Error

0.0b

Counts

4 → 75

Calls

4 calls:

219.0ms	(.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) (.f64 (*.f64 J -2) (cos.f64 (/.f64 K 2))))
140.0ms	(sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))
135.0ms	(sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))
132.0ms	(sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))

Compiler

Compiled 13276 to 10972 computations (17.4% saved)

simplify161.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

898×	`times-frac_binary64`
233×	`associate-l_binary64`
230×	`associate-r_binary64`
201×	`cancel-sign-sub-inv_binary64`
184×	`neg-mul-1_binary64`
166×	`*-commutative_binary64`
118×	`unswap-sqr_binary64`
111×	`distribute-rgt-in_binary64`
107×	`distribute-rgt-neg-in_binary64`
100×	`distribute-lft-in_binary64`
92×	`distribute-lft-neg-in_binary64`
88×	`sub-neg_binary64`
81×	`cube-prod_binary64`
68×	`distribute-neg-frac_binary64`
60×	`distribute-neg-in_binary64` `associate-/l_binary64` `associate-/r_binary64`
56×	`+-commutative_binary64`
54×	`sqr-pow_binary64`
49×	`associate-*r/_binary64`
41×	`neg-sub0_binary64`
40×	`associate-+r+_binary64`
35×	`associate-*l/_binary64` `associate-+l+_binary64`
34×	`exp-prod_binary64`
33×	`log-prod_binary64`
30×	`swap-sqr_binary64`
29×	`unpow3_binary64`
27×	`associate--r+_binary64`
24×	`distribute-rgt-out_binary64`
22×	`cube-mult_binary64`
17×	`cube-unmult_binary64` `unsub-neg_binary64` `associate--l+_binary64`
16×	`div-sub_binary64`
13×	`cube-div_binary64`
10×	`associate-/r/_binary64`
7×	`pow-plus_binary64` `rem-sqrt-square_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-out--_binary64`
6×	`*-lft-identity_binary64`
5×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `distribute-rgt1-in_binary64`
4×	`*-rgt-identity_binary64` `distribute-lft-out_binary64`
3×	`pow-sqr_binary64` `associate-+r-_binary64`
2×	`log-pow_binary64` `+-rgt-identity_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64`
1×	`1-exp_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft1-in_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` `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` `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-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

150 → 103

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	219	5206
1	595	4918
2	2169	4773
3	4758	4773
4	4975	4773

prune165.0ms (1.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	103	6	109

Error

0.0b

Counts

109 → 6

Compiler

Compiled 6063 to 4725 computations (22.1% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 6)
7.1b	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (sqrt.f64 (+.f64 1 (cbrt.f64 (pow.f64 (/.f64 U (.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 6)))))
9.7b	(sqrt.f64 (+.f64 1 (cbrt.f64 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 6))))
15.7b	(cbrt.f64 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 6))

rewrite373.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`add-exp-log_binary64`
17×	`*-un-lft-identity_binary64`
15×	`pow1_binary64`
14×	`unpow-prod-down_binary64` `add-sqr-sqrt_binary64`
13×	`add-cbrt-cube_binary64` `add-cube-cbrt_binary64`
11×	`cbrt-prod_binary64`
9×	`prod-exp_binary64`
8×	`sqrt-prod_binary64`
7×	`associate-r_binary64`
6×	`times-frac_binary64` `pow-prod-down_binary64` `cbrt-unprod_binary64`
4×	`add-log-exp_binary64` `sqrt-div_binary64` `pow-exp_binary64`
3×	`pow-unpow_binary64` `div-exp_binary64`
2×	`div-inv_binary64` `sqr-pow_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `associate-*r/_binary64`
1×	`pow1/3_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `associate-l_binary64` `*-commutative_binary64` `pow-pow_binary64` `pow-to-exp_binary64`

Counts

4 → 86

Calls

4 calls:

18.0ms	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (sqrt.f64 (+.f64 1 (cbrt.f64 (pow.f64 (/.f64 U (.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 6)))))
9.0ms	(sqrt.f64 (+.f64 1 (cbrt.f64 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 6))))
7.0ms	(pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 6)
4.0ms	(cbrt.f64 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 6))

Compiler

Compiled 3045 to 2467 computations (19% saved)

series526.0ms (4.9%)

Error

0.0b

Counts

4 → 57

Calls

4 calls:

191.0ms	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (sqrt.f64 (+.f64 1 (cbrt.f64 (pow.f64 (/.f64 U (.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 6)))))
109.0ms	(sqrt.f64 (+.f64 1 (cbrt.f64 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 6))))
99.0ms	(pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 6)
79.0ms	(cbrt.f64 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 6))

Compiler

Compiled 4315 to 3799 computations (12% saved)

simplify166.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

320×	`associate-l_binary64`
252×	`associate-r_binary64`
247×	`cancel-sign-sub-inv_binary64`
218×	`unswap-sqr_binary64`
196×	`distribute-rgt-in_binary64`
195×	`log-prod_binary64`
171×	`*-commutative_binary64`
143×	`distribute-rgt-neg-in_binary64`
127×	`sqr-pow_binary64`
120×	`distribute-lft-neg-in_binary64`
112×	`distribute-neg-frac_binary64`
109×	`times-frac_binary64`
101×	`sub-neg_binary64`
99×	`associate-/l*_binary64`
92×	`associate-/r*_binary64`
84×	`swap-sqr_binary64`
71×	`distribute-neg-in_binary64`
70×	`associate-*r/_binary64`
63×	`+-commutative_binary64`
61×	`neg-sub0_binary64`
59×	`neg-mul-1_binary64`
56×	`exp-prod_binary64` `cube-prod_binary64`
51×	`associate-*l/_binary64`
40×	`associate-+r+_binary64`
39×	`associate-+l+_binary64`
36×	`cube-div_binary64`
35×	`log-pow_binary64`
34×	`associate--r+_binary64`
33×	`log-div_binary64`
29×	`unpow3_binary64` `cube-mult_binary64`
23×	`distribute-rgt-out_binary64`
20×	`unsub-neg_binary64`
19×	`distribute-lft-in_binary64`
17×	`cube-unmult_binary64` `*-lft-identity_binary64` `associate--l+_binary64`
16×	`*-rgt-identity_binary64`
12×	`associate-/r/_binary64`
11×	`distribute-lft-neg-out_binary64`
10×	`pow-sqr_binary64`
7×	`rem-sqrt-square_binary64`
6×	`pow-plus_binary64`
5×	`unpow1/2_binary64` `unpow1_binary64` `distribute-rgt1-in_binary64`
4×	`unpow2_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64`
3×	`associate-+r-_binary64`
2×	`rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `mul-1-neg_binary64` `+-rgt-identity_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `distribute-frac-neg_binary64` `distribute-lft-out_binary64` `associate-/l/_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` `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` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

143 → 97

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	307	5139
1	773	4654
2	2984	4536
3	4843	4536
4	4997	4536

prune82.0ms (0.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	97	6	103

Error

0.0b

Counts

103 → 6

Compiler

Compiled 2059 to 1535 computations (25.4% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))
0.2b	(pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)
5.2b	(.f64 (.f64 (.f64 (.f64 J -2) (sqrt.f64 (cos.f64 (/.f64 K 2)))) (sqrt.f64 (cos.f64 (/.f64 K 2)))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))))
9.7b	(sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))

rewrite180.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

33×	`add-exp-log_binary64`
25×	`pow1_binary64`
23×	`add-cbrt-cube_binary64`
16×	`prod-exp_binary64`
15×	`*-un-lft-identity_binary64`
13×	`pow-prod-down_binary64` `cbrt-unprod_binary64`
12×	`add-sqr-sqrt_binary64`
11×	`add-cube-cbrt_binary64`
10×	`associate-r_binary64`
8×	`sqrt-prod_binary64`
7×	`unpow-prod-down_binary64`
4×	`add-log-exp_binary64` `sqrt-div_binary64` `pow-exp_binary64`
3×	`times-frac_binary64` `pow-unpow_binary64` `div-exp_binary64`
2×	`flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `associate-r/_binary64` `associate-l_binary64` `-commutative_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `div-inv_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `unpow2_binary64` `sqr-pow_binary64`

Counts

4 → 89

Calls

4 calls:

20.0ms	(.f64 (.f64 (.f64 (.f64 J -2) (sqrt.f64 (cos.f64 (/.f64 K 2)))) (sqrt.f64 (cos.f64 (/.f64 K 2)))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))))
8.0ms	(sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))
7.0ms	(pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)
5.0ms	(.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))

Compiler

Compiled 3589 to 2917 computations (18.7% saved)

series429.0ms (4%)

Error

0.0b

Counts

4 → 55

Calls

4 calls:

178.0ms	(.f64 (.f64 (.f64 (.f64 J -2) (sqrt.f64 (cos.f64 (/.f64 K 2)))) (sqrt.f64 (cos.f64 (/.f64 K 2)))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))))
107.0ms	(sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))
72.0ms	(pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)
29.0ms	(.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))

Compiler

Compiled 4334 to 3747 computations (13.5% saved)

simplify194.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

480×	`associate-l_binary64`
338×	`associate-r_binary64`
223×	`cancel-sign-sub-inv_binary64`
222×	`*-commutative_binary64`
197×	`distribute-rgt-in_binary64`
181×	`distribute-lft-in_binary64`
168×	`unswap-sqr_binary64`
130×	`log-prod_binary64`
125×	`distribute-rgt-neg-in_binary64`
123×	`exp-prod_binary64`
111×	`sqr-pow_binary64`
109×	`distribute-lft-neg-in_binary64`
104×	`sub-neg_binary64`
80×	`associate-/r*_binary64`
74×	`times-frac_binary64`
73×	`distribute-neg-in_binary64`
69×	`distribute-neg-frac_binary64`
67×	`associate-/l*_binary64`
66×	`+-commutative_binary64`
62×	`associate-*r/_binary64`
59×	`swap-sqr_binary64`
55×	`cube-prod_binary64`
49×	`neg-sub0_binary64`
48×	`neg-mul-1_binary64` `associate-*l/_binary64`
47×	`associate-+l+_binary64`
41×	`associate-+r+_binary64`
37×	`unpow3_binary64`
33×	`associate--r+_binary64`
31×	`cube-mult_binary64`
29×	`log-pow_binary64`
26×	`distribute-rgt-out_binary64`
24×	`cube-unmult_binary64` `*-lft-identity_binary64`
21×	`log-div_binary64` `*-rgt-identity_binary64`
20×	`unsub-neg_binary64`
18×	`unpow1/2_binary64`
17×	`associate--l+_binary64`
15×	`unpow2_binary64` `pow-plus_binary64` `unpow1_binary64`
11×	`pow-sqr_binary64` `associate-/r/_binary64`
9×	`cube-div_binary64` `distribute-rgt-out--_binary64`
8×	`distribute-lft-neg-out_binary64`
6×	`rem-sqrt-square_binary64`
5×	`distribute-rgt1-in_binary64` `distribute-lft-out_binary64`
4×	`exp-lft-sqr_binary64` `/-rgt-identity_binary64`
3×	`rem-square-sqrt_binary64` `associate-+r-_binary64`
2×	`prod-exp_binary64` `+-rgt-identity_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `distribute-rgt-neg-out_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `mul-1-neg_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/l/_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` `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-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `remove-double-neg_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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

144 → 99

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	311	4614
1	815	4222
2	3032	4098
3	4793	4098
4	4993	4098
5	4946	4098

prune77.0ms (0.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	99	6	105

Error

0.0b

Counts

105 → 6

Compiler

Compiled 2052 to 1520 computations (25.9% saved)

regimes1.4s (12.9%)

Accuracy

Total 9.6b remaining (99.3%)

Threshold costs 0b (0%)

Compiler

Compiled 17275 to 15212 computations (11.9% saved)

bsearch4.0ms (0%)

Compiler: Compiled 24 to 22 computations (8.3% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

17×	`*-commutative_binary64`
10×	`+-commutative_binary64`
8×	`neg-mul-1_binary64` `neg-sub0_binary64` `sub-neg_binary64`
6×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
2×	`unsub-neg_binary64` `distribute-neg-in_binary64`
1×	`1-exp_binary64` `distribute-neg-frac_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` `sqr-abs_binary64` `sqr-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-inv_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	160
1	57	158
2	73	158
3	96	158
4	108	158
5	116	158
6	119	158
7	115	158

end3.0ms (0%)

Compiler: Compiled 103 to 86 computations (16.5% saved)

sample2.8s (26.3%)

Algorithm

1×

intervals

Results

1.1s	1939×	body	1024	valid
516.0ms	4531×	body	128	valid
406.0ms	1018×	body	512	valid
130.0ms	511×	body	256	valid
1.0ms	1×	body	2048	valid
1.0ms	1×	body	1024	invalid
0.0ms	3×	body	128	invalid
0.0ms	1×	body	256	invalid

Compiler

Compiled 306 to 280 computations (8.5% saved)

Details

analyze2.0s (18.4%)

sample88.0ms (0.8%)

simplify90.0ms (0.8%)

prune3.0ms (0%)

localize15.0ms (0.1%)

rewrite229.0ms (2.1%)

series435.0ms (4.1%)

simplify213.0ms (2%)

prune94.0ms (0.9%)

localize23.0ms (0.2%)

rewrite223.0ms (2.1%)

series731.0ms (6.8%)

simplify161.0ms (1.5%)

prune165.0ms (1.5%)

localize16.0ms (0.2%)

rewrite373.0ms (3.5%)

series526.0ms (4.9%)

simplify166.0ms (1.6%)

prune82.0ms (0.8%)

localize19.0ms (0.2%)

rewrite180.0ms (1.7%)

series429.0ms (4%)

simplify194.0ms (1.8%)

prune77.0ms (0.7%)

regimes1.4s (12.9%)

bsearch4.0ms (0%)

simplify10.0ms (0.1%)

end3.0ms (0%)

sample2.8s (26.3%)

Profiling