Details

analyze1.3s (19.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

8×	`sub-neg_binary64`
5×	`+-commutative_binary64`
4×	`associate-+l-_binary64`
3×	`sub0-neg_binary64` `associate--r+_binary64`
2×	`log-prod_binary64` `neg-mul-1_binary64` `--rgt-identity_binary64` `associate--l+_binary64` `associate-+r+_binary64` `*-commutative_binary64`
1×	`1-exp_binary64` `neg-sub0_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-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_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-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_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` `div-sub_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-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` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_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-/l/_binary64` `associate-/r/_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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	13	14
2	17	14
3	22	14
4	28	14
5	36	14
6	46	14
7	58	14
8	62	14
9	45	14
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
3.1%	46.8%	50%	5
4.7%	45.3%	50%	6
5.5%	44.5%	50%	7
5.9%	44.1%	50%	8
6%	43.9%	50%	9
6.1%	43.8%	50%	10
6.2%	43.8%	50%	11
6.2%	43.7%	50%	12
6.2%	43.7%	50%	13
6.2%	43.7%	50%	14

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample138.0ms (2%)

Algorithm

1×

intervals

Results

79.0ms	123×	body	1024	valid
18.0ms	21×	body	2048	valid
14.0ms	45×	body	512	valid
8.0ms	51×	body	256	valid
4.0ms	256×	pre	128	true
1.0ms	16×	body	128	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`sub-neg_binary64`
5×	`+-commutative_binary64`
4×	`associate-+l-_binary64`
3×	`sub0-neg_binary64` `associate--r+_binary64`
2×	`log-prod_binary64` `neg-mul-1_binary64` `--rgt-identity_binary64` `associate--l+_binary64` `associate-+r+_binary64` `*-commutative_binary64`
1×	`1-exp_binary64` `neg-sub0_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-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_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-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_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` `div-sub_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-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` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_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-/l/_binary64` `associate-/r/_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

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	13	14
2	17	14
3	22	14
4	28	14
5	36	14
6	46	14
7	58	14
8	62	14
9	45	14

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

61.9b

Counts

1 → 1

Compiler

Compiled 9 to 8 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
7.1b	(log.f64 (-.f64 1 x))
7.1b	(log.f64 (+.f64 1 x))

rewrite129.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

61.5b

Rules

20×	`*-un-lft-identity_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`times-frac_binary64`
15×	`pow1_binary64` `add-cube-cbrt_binary64`
12×	`log-pow_binary64`
10×	`log-prod_binary64`
7×	`add-exp-log_binary64`
6×	`log-div_binary64`
5×	`add-cbrt-cube_binary64`
4×	`associate-/l_binary64` `associate-/r_binary64`
3×	`add-log-exp_binary64`
2×	`rem-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `difference-of-squares_binary64` `div-sub_binary64`
1×	`flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `distribute-lft-out--_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

3 → 70

Calls

3 calls:

6.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
3.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (+.f64 1 x))

Compiler

Compiled 989 to 799 computations (19.2% saved)

series58.0ms (0.9%)

Error

0.0b

Counts

3 → 20

Calls

3 calls:

12.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
10.0ms	(log.f64 (+.f64 1 x))
10.0ms	(log.f64 (-.f64 1 x))

Compiler

Compiled 662 to 559 computations (15.6% saved)

simplify155.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

578×	`times-frac_binary64`
323×	`unsub-neg_binary64`
285×	`associate--r+_binary64`
259×	`associate-+l-_binary64`
248×	`sub-neg_binary64`
216×	`associate-+l+_binary64`
192×	`neg-mul-1_binary64`
165×	`distribute-rgt-in_binary64`
142×	`associate-+r-_binary64`
139×	`associate--r-_binary64`
133×	`neg-sub0_binary64`
130×	`distribute-neg-in_binary64`
127×	`distribute-rgt-out_binary64`
125×	`distribute-rgt-neg-in_binary64`
122×	`associate-/l*_binary64`
119×	`associate-/l/_binary64`
114×	`associate-/r*_binary64`
108×	`distribute-lft-neg-in_binary64`
106×	`associate--l+_binary64`
105×	`sub0-neg_binary64`
102×	`div-sub_binary64`
101×	`distribute-lft-in_binary64`
96×	`unswap-sqr_binary64`
95×	`distribute-lft-out_binary64`
79×	`distribute-rgt-out--_binary64` `associate-l_binary64`
73×	`cancel-sign-sub-inv_binary64` `associate-r_binary64` `*-commutative_binary64`
68×	`log-prod_binary64`
67×	`+-commutative_binary64`
64×	`distribute-lft-out--_binary64`
62×	`associate--l-_binary64`
55×	`associate-+r+_binary64`
52×	`+-rgt-identity_binary64`
51×	`associate-/r/_binary64`
45×	`sqr-pow_binary64`
41×	`--rgt-identity_binary64`
33×	`associate-*l/_binary64`
28×	`log-div_binary64`
26×	`/-rgt-identity_binary64` `*-lft-identity_binary64`
25×	`cube-prod_binary64` `difference-of-squares_binary64`
24×	`exp-sum_binary64`
23×	`associate-*r/_binary64`
21×	`remove-double-neg_binary64` `distribute-rgt1-in_binary64`
18×	`cube-div_binary64`
15×	`*-rgt-identity_binary64`
14×	`pow-plus_binary64`
13×	`unpow3_binary64`
12×	`difference-of-sqr-1_binary64`
11×	`cancel-sign-sub_binary64`
10×	`+-lft-identity_binary64` `distribute-frac-neg_binary64`
9×	`log-pow_binary64` `mul-1-neg_binary64`
8×	`rem-exp-log_binary64` `cube-unmult_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-neg-out_binary64`
7×	`exp-diff_binary64` `cube-mult_binary64` `distribute-lft-neg-out_binary64`
6×	`div0_binary64` `pow-sqr_binary64` `distribute-neg-frac_binary64` `distribute-lft1-in_binary64`
5×	`exp-prod_binary64` `distribute-rgt-neg-out_binary64`
4×	`log-rec_binary64` `cube-neg_binary64` `+-inverses_binary64` `swap-sqr_binary64` `count-2_binary64`
3×	`rem-sqrt-square_binary64` `*-inverses_binary64` `difference-of-sqr--1_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `exp-to-pow_binary64` `sqr-neg_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64`
1×	`log-E_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_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` `pow-base-0_binary64` `unpow1/3_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-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64`

Counts

90 → 72

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	149	1569
1	310	1439
2	702	1426
3	1711	1410
4	4409	1410
5	4304	1410
6	4874	1401
7	4971	1401

prune51.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	71	2	73

Error

Counts

73 → 2

Compiler

Compiled 880 to 682 computations (22.5% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (+.f64 1/2 (.f64 x 5/12)))
0.0b	(.f64 x (-.f64 -1 (.f64 x (+.f64 1/2 (*.f64 x 5/12)))))
0.3b	(*.f64 x 5/12)

rewrite74.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-sqr-sqrt_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `-un-lft-identity_binary64` `associate-l_binary64` `associate-r*_binary64`
4×	`associate-*r/_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
2×	`sub-neg_binary64` `cancel-sign-sub-inv_binary64`
1×	`flip3--_binary64` `flip--_binary64` `flip3-+_binary64` `flip-+_binary64`

Counts

3 → 64

Calls

3 calls:

5.0ms	(.f64 x (+.f64 1/2 (.f64 x 5/12)))
5.0ms	(.f64 x (-.f64 -1 (.f64 x (+.f64 1/2 (*.f64 x 5/12)))))
4.0ms	(*.f64 x 5/12)

Compiler

Compiled 1224 to 936 computations (23.5% saved)

series42.0ms (0.6%)

Error

Counts

3 → 14

Calls

3 calls:

12.0ms	(.f64 x (+.f64 1/2 (.f64 x 5/12)))
11.0ms	(.f64 x (-.f64 -1 (.f64 x (+.f64 1/2 (*.f64 x 5/12)))))
8.0ms	(*.f64 x 5/12)

Compiler

Compiled 374 to 324 computations (13.4% saved)

simplify90.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

515×	`distribute-rgt-in_binary64`
498×	`distribute-lft-in_binary64`
331×	`distribute-neg-in_binary64`
295×	`cancel-sign-sub-inv_binary64`
292×	`distribute-rgt-neg-out_binary64`
247×	`*-commutative_binary64`
235×	`exp-prod_binary64`
221×	`exp-sum_binary64`
155×	`associate-l_binary64`
141×	`unsub-neg_binary64`
129×	`associate-r_binary64`
109×	`unswap-sqr_binary64`
99×	`neg-sub0_binary64`
97×	`sub-neg_binary64`
90×	`neg-mul-1_binary64`
81×	`distribute-rgt-neg-in_binary64`
74×	`exp-diff_binary64` `distribute-lft-neg-in_binary64`
66×	`sqr-pow_binary64`
54×	`associate--r+_binary64`
48×	`log-prod_binary64` `*-lft-identity_binary64`
47×	`*-rgt-identity_binary64`
36×	`swap-sqr_binary64`
34×	`associate-+l+_binary64`
33×	`distribute-lft-neg-out_binary64`
29×	`cube-prod_binary64` `distribute-neg-out_binary64`
28×	`associate-+r+_binary64`
20×	`associate-+l-_binary64`
19×	`+-commutative_binary64`
16×	`mul0-rgt_binary64` `mul0-lft_binary64`
14×	`mul-1-neg_binary64`
11×	`div-sub_binary64` `pow-sqr_binary64`
10×	`sub0-neg_binary64`
9×	`unpow3_binary64` `remove-double-neg_binary64`
8×	`distribute-rgt-out_binary64`
7×	`unpow1/2_binary64`
6×	`distribute-rgt1-in_binary64` `associate-+r-_binary64`
5×	`pow-plus_binary64`
4×	`distribute-rgt-out--_binary64` `associate--l+_binary64`
3×	`log-pow_binary64` `div-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `cube-unmult_binary64` `cube-mult_binary64` `sqr-neg_binary64` `+-rgt-identity_binary64`
2×	`cube-neg_binary64` `associate--r-_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `unpow-1_binary64` `rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-sqrt-square_binary64` `--rgt-identity_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_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` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `e-exp-1_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` `sqr-abs_binary64` `rem-square-sqrt_binary64` `times-frac_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` `difference-of-squares_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-lft-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`

Counts

78 → 63

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	124	1049
1	291	958
2	993	955
3	2906	955
4	4648	955
5	4886	955

prune48.0ms (0.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	63	2	65

Error

Counts

65 → 2

Compiler

Compiled 895 to 675 computations (24.6% saved)

regimes127.0ms (1.9%)

Accuracy

Total 0.3b remaining (88.5%)

Threshold costs 0.3b (88.5%)

Compiler

Compiled 1298 to 1130 computations (12.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64` `+-commutative_binary64`
5×	`sub-neg_binary64`
4×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-rgt-neg-in_binary64`
3×	`distribute-lft-neg-in_binary64`
2×	`cancel-sign-sub-inv_binary64` `distribute-neg-in_binary64`
1×	`unsub-neg_binary64` `distribute-lft-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` `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` `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-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	21	19
2	30	19
3	41	19
4	54	19
5	57	19
6	58	19
7	56	19

end1.0ms (0%)

Compiler: Compiled 13 to 11 computations (15.4% saved)

sample4.4s (66.1%)

Algorithm

1×

intervals

Results

2.6s	4088×	body	1024	valid
614.0ms	1904×	body	512	valid
387.0ms	440×	body	2048	valid
160.0ms	997×	body	256	valid
143.0ms	8000×	pre	128	true
42.0ms	571×	body	128	valid

Compiler

Compiled 70 to 63 computations (10% saved)

Details

analyze1.3s (19.9%)

sample138.0ms (2%)

simplify10.0ms (0.2%)

prune1.0ms (0%)

localize7.0ms (0.1%)

rewrite129.0ms (1.9%)

series58.0ms (0.9%)

simplify155.0ms (2.3%)

prune51.0ms (0.8%)

localize8.0ms (0.1%)

rewrite74.0ms (1.1%)

series42.0ms (0.6%)

simplify90.0ms (1.3%)

prune48.0ms (0.7%)

regimes127.0ms (1.9%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample4.4s (66.1%)

Profiling