Details

analyze193.0ms (6.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

16×	`sub-neg_binary64`
12×	`div-sub_binary64` `+-commutative_binary64`
10×	`*-commutative_binary64`
6×	`associate-/l*_binary64`
4×	`neg-mul-1_binary64` `neg-sub0_binary64` `div0_binary64` `associate-+l-_binary64`
3×	`associate-/r/_binary64`
2×	`sub0-neg_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-frac-neg_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_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-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_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` `1-exp_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` `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` `-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-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` `count-2_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` `associate--l+_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	52
1	39	46
2	59	46
3	73	46
4	81	46
5	86	46
6	108	46
7	108	46
8	110	46
9	94	46
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%	68.7%	6.3%	5
25%	65.6%	9.5%	6
37.5%	39%	23.5%	7
37.5%	36.7%	25.9%	8
43.7%	20.7%	35.6%	9
43.7%	19.3%	37%	10
46.8%	10.6%	42.5%	11
46.8%	9.9%	43.3%	12
48.4%	5.4%	46.2%	13
48.4%	5%	46.6%	14

Compiler

Compiled 17 to 17 computations (0% saved)

sample31.0ms (1%)

Algorithm

1×

intervals

Results

19.0ms	256×	body	128	valid
1.0ms	19×	body	128	nan

Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify11.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

7×	`sub-neg_binary64`
6×	`*-commutative_binary64`
5×	`div-sub_binary64` `+-commutative_binary64`
4×	`associate-/l*_binary64`
2×	`neg-mul-1_binary64` `neg-sub0_binary64` `div0_binary64` `associate-/r/_binary64` `associate-+l-_binary64`
1×	`sub0-neg_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-frac-neg_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_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-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_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` `1-exp_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` `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` `-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-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` `count-2_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` `associate--l+_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	26	23
2	40	23
3	48	23
4	52	23
5	55	23
6	66	23
7	65	23
8	54	23

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

1.0b

Counts

2 → 1

Compiler

Compiled 28 to 28 computations (0% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.0b	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
1.0b	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
1.0b	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0b	(*.f64 PI.f64 2/3)

rewrite92.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`add-sqr-sqrt_binary64`
14×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
9×	`times-frac_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`pow1_binary64` `add-log-exp_binary64` `div-sub_binary64`
4×	`associate-+r-_binary64`
3×	`associate-l_binary64` `associate-r_binary64` `distribute-frac-neg_binary64` `acos-neg_binary64` `acos-asin_binary64` `associate-/l_binary64` `associate-/r_binary64`
2×	`cos-diff_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64` `cos-sum_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

4 → 70

Calls

4 calls:

8.0ms	(*.f64 PI.f64 2/3)
7.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
6.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
3.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)

Compiler

Compiled 1547 to 910 computations (41.2% saved)

series70.0ms (2.2%)

Error

1.0b

Counts

4 → 18

Calls

4 calls:

34.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
19.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
15.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
0.0ms	(*.f64 PI.f64 2/3)

Compiler

Compiled 570 to 566 computations (0.7% saved)

simplify155.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

728×	`div-sub_binary64`
384×	`sub-neg_binary64`
361×	`associate-/r/_binary64`
278×	`associate-/r*_binary64`
228×	`cancel-sign-sub-inv_binary64`
201×	`distribute-rgt-out_binary64` `distribute-rgt-in_binary64`
199×	`associate-/l*_binary64`
180×	`distribute-lft-in_binary64`
167×	`associate-l_binary64`
166×	`*-commutative_binary64`
151×	`associate-*l/_binary64`
143×	`associate-/l/_binary64`
130×	`associate-r_binary64`
128×	`associate-+l-_binary64`
123×	`associate--l-_binary64`
109×	`distribute-rgt-neg-in_binary64` `associate-*r/_binary64`
102×	`unsub-neg_binary64`
89×	`neg-sub0_binary64`
85×	`associate--l+_binary64` `associate-+l+_binary64`
84×	`distribute-neg-frac_binary64`
83×	`sqr-pow_binary64`
81×	`neg-mul-1_binary64`
79×	`distribute-lft-neg-in_binary64`
75×	`associate-+r+_binary64`
65×	`distribute-lft-out_binary64` `associate-+r-_binary64`
63×	`times-frac_binary64`
62×	`associate--r+_binary64`
55×	`/-rgt-identity_binary64`
48×	`*-lft-identity_binary64`
45×	`+-commutative_binary64`
43×	`cube-prod_binary64`
38×	`*-rgt-identity_binary64`
33×	`distribute-rgt-out--_binary64`
31×	`exp-prod_binary64` `cube-div_binary64` `distribute-neg-in_binary64`
30×	`log-prod_binary64`
29×	`sub0-neg_binary64`
26×	`log-div_binary64`
25×	`associate--r-_binary64`
22×	`distribute-lft-neg-out_binary64`
20×	`+-rgt-identity_binary64`
16×	`exp-sum_binary64` `remove-double-neg_binary64` `unswap-sqr_binary64`
15×	`pow-sqr_binary64`
13×	`unpow3_binary64` `exp-diff_binary64`
11×	`swap-sqr_binary64`
10×	`distribute-rgt-neg-out_binary64`
9×	`cube-unmult_binary64` `rem-sqrt-square_binary64`
8×	`div0_binary64`
7×	`log-rec_binary64` `cube-mult_binary64` `mul0-rgt_binary64`
6×	`--rgt-identity_binary64` `+-lft-identity_binary64` `remove-double-div_binary64` `distribute-neg-out_binary64`
5×	`unpow1/2_binary64` `pow-plus_binary64` `mul0-lft_binary64` `distribute-lft-out--_binary64`
4×	`prod-exp_binary64` `cube-neg_binary64` `mul-1-neg_binary64` `distribute-rgt1-in_binary64`
3×	`sin-neg_binary64` `exp-cbrt_binary64`
2×	`cos-neg_binary64` `unpow2_binary64` `1-exp_binary64` `sqr-neg_binary64` `difference-of-squares_binary64`
1×	`cos-PI_binary64` `sin-PI_binary64` `unpow1/3_binary64` `exp-1-e_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `count-2_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` `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/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_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` `pow-base-0_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-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` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64`

Counts

88 → 75

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	150	1689
1	271	1611
2	550	1608
3	1152	1564
4	2589	1558
5	4130	1544
6	4499	1544
7	5183	1544

prune54.0ms (1.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	1	76

Error

1.0b

Counts

76 → 1

Compiler

Compiled 1152 to 673 computations (41.6% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
1.0b	(/.f64 (acos.f64 (/.f64 g h)) 3)

rewrite41.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
9×	`times-frac_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/l_binary64` `associate-/r_binary64`
2×	`pow1_binary64` `add-log-exp_binary64` `acos-asin_binary64` `div-sub_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `cos-diff_binary64`

Counts

2 → 36

Calls

2 calls:

3.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)
2.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))

Compiler

Compiled 713 to 455 computations (36.2% saved)

series39.0ms (1.2%)

Error

1.0b

Counts

2 → 12

Calls

2 calls:

23.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
14.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)

Compiler

Compiled 300 to 300 computations (0% saved)

simplify204.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

469×	`associate-/l/_binary64`
442×	`unsub-neg_binary64` `unswap-sqr_binary64`
393×	`associate-/r/_binary64`
390×	`associate-/l*_binary64`
362×	`distribute-rgt-in_binary64`
318×	`times-frac_binary64`
295×	`sqr-pow_binary64`
280×	`associate-/r*_binary64`
269×	`cancel-sign-sub-inv_binary64`
250×	`distribute-neg-in_binary64`
228×	`sub-neg_binary64`
204×	`pow-sqr_binary64`
179×	`*-commutative_binary64`
176×	`associate-*l/_binary64`
166×	`associate-*r/_binary64`
129×	`distribute-lft-in_binary64`
116×	`+-commutative_binary64`
110×	`associate--r-_binary64`
97×	`neg-sub0_binary64`
93×	`neg-mul-1_binary64`
87×	`associate-l_binary64`
81×	`associate--l-_binary64`
79×	`associate--r+_binary64`
72×	`*-lft-identity_binary64`
70×	`div-sub_binary64` `distribute-lft-neg-out_binary64`
67×	`distribute-rgt-neg-in_binary64`
63×	`-rgt-identity_binary64` `associate-r*_binary64`
60×	`associate--l+_binary64`
58×	`distribute-lft-neg-in_binary64`
50×	`distribute-neg-out_binary64`
49×	`pow-plus_binary64` `cube-prod_binary64`
47×	`associate-+r+_binary64`
46×	`associate-+l-_binary64`
36×	`associate-+l+_binary64`
34×	`unpow3_binary64`
32×	`cancel-sign-sub_binary64`
30×	`remove-double-neg_binary64` `distribute-rgt-neg-out_binary64`
25×	`associate-+r-_binary64`
24×	`cube-mult_binary64` `swap-sqr_binary64`
22×	`/-rgt-identity_binary64`
20×	`cube-unmult_binary64`
18×	`distribute-lft-out--_binary64`
15×	`cube-div_binary64` `rem-sqrt-square_binary64`
13×	`unpow2_binary64` `unpow1_binary64`
12×	`distribute-rgt-out_binary64`
11×	`div0_binary64`
10×	`+-rgt-identity_binary64`
9×	`unpow1/2_binary64`
8×	`mul0-rgt_binary64` `mul0-lft_binary64`
7×	`distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
6×	`mul-1-neg_binary64`
5×	`log-div_binary64` `--rgt-identity_binary64`
4×	`log-prod_binary64` `exp-sum_binary64` `distribute-rgt1-in_binary64`
2×	`exp-prod_binary64` `exp-diff_binary64` `sub0-neg_binary64` `+-lft-identity_binary64` `distribute-lft1-in_binary64`
1×	`cos-PI/6_binary64` `sin-PI/6_binary64` `log-rec_binary64` `exp-cbrt_binary64` `1-exp_binary64` `distribute-neg-frac_binary64` `count-2_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` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_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` `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-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_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` `rem-square-sqrt_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` `distribute-frac-neg_binary64`

Counts

48 → 20

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	79	769
1	118	701
2	189	701
3	289	701
4	571	701
5	1055	701
6	1748	701
7	3211	701
8	3977	701
9	4246	701
10	4305	701
11	4501	701
12	4849	701
13	4749	701

prune18.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	19	1	20
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	2	21

Error

Counts

21 → 2

Compiler

Compiled 353 to 239 computations (32.3% saved)

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (/.f64 (sqrt.f64 3) 2) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) 3)))
0.0b	(+.f64 (.f64 (/.f64 (sqrt.f64 3) 2) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) 3))) (.f64 1/2 (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) 3))))
0.3b	(/.f64 (asin.f64 (/.f64 g h)) 3)
0.3b	(/.f64 (asin.f64 (/.f64 g h)) 3)

rewrite184.0ms (5.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

42×	`add-sqr-sqrt_binary64`
38×	`times-frac_binary64`
34×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
22×	`associate-l_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`sqrt-prod_binary64`
6×	`pow1_binary64` `add-log-exp_binary64` `asin-acos_binary64` `div-sub_binary64` `associate-/l_binary64` `associate-/r_binary64`
4×	`cos-diff_binary64`
3×	`div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `unswap-sqr_binary64` `associate-r_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `distribute-rgt-in_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
1×	`sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64` `pow-prod-down_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 113

Calls

4 calls:

9.0ms	(*.f64 (/.f64 (sqrt.f64 3) 2) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) 3)))
8.0ms	(+.f64 (.f64 (/.f64 (sqrt.f64 3) 2) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) 3))) (.f64 1/2 (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) 3))))
6.0ms	(/.f64 (asin.f64 (/.f64 g h)) 3)
3.0ms	(/.f64 (asin.f64 (/.f64 g h)) 3)

Compiler

Compiled 4003 to 2806 computations (29.9% saved)

series142.0ms (4.5%)

Error

Counts

4 → 24

Calls

4 calls:

58.0ms	(+.f64 (.f64 (/.f64 (sqrt.f64 3) 2) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) 3))) (.f64 1/2 (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) 3))))
38.0ms	(*.f64 (/.f64 (sqrt.f64 3) 2) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) 3)))
20.0ms	(/.f64 (asin.f64 (/.f64 g h)) 3)
19.0ms	(/.f64 (asin.f64 (/.f64 g h)) 3)

Compiler

Compiled 1404 to 1184 computations (15.7% saved)

simplify212.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

659×	`associate-/l*_binary64`
390×	`associate-l_binary64`
303×	`associate-r_binary64`
281×	`distribute-rgt-in_binary64`
258×	`distribute-lft-in_binary64`
234×	`associate-/l/_binary64`
212×	`associate-*l/_binary64`
178×	`associate-*r/_binary64`
175×	`*-commutative_binary64`
174×	`associate-/r/_binary64`
144×	`associate-/r*_binary64`
142×	`unswap-sqr_binary64`
127×	`sub-neg_binary64`
122×	`distribute-rgt-neg-in_binary64`
115×	`cancel-sign-sub-inv_binary64`
100×	`distribute-rgt-out_binary64`
96×	`distribute-lft-neg-in_binary64`
89×	`sqr-pow_binary64`
66×	`neg-mul-1_binary64`
63×	`neg-sub0_binary64`
60×	`*-lft-identity_binary64`
52×	`unsub-neg_binary64`
51×	`pow-sqr_binary64`
50×	`*-rgt-identity_binary64`
46×	`distribute-neg-frac_binary64`
44×	`distribute-lft-out_binary64`
39×	`div-sub_binary64`
38×	`exp-prod_binary64` `rem-sqrt-square_binary64`
37×	`cube-prod_binary64` `times-frac_binary64`
34×	`log-prod_binary64`
28×	`/-rgt-identity_binary64`
26×	`distribute-lft-neg-out_binary64`
22×	`log-div_binary64` `cube-div_binary64` `+-commutative_binary64`
20×	`unpow3_binary64`
18×	`distribute-rgt-out--_binary64`
16×	`associate-+l+_binary64`
14×	`swap-sqr_binary64`
12×	`distribute-rgt-neg-out_binary64` `associate-+r+_binary64`
11×	`cube-mult_binary64` `div0_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
9×	`prod-exp_binary64` `cube-unmult_binary64` `distribute-neg-in_binary64`
8×	`+-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
7×	`pow-plus_binary64`
6×	`unpow1/2_binary64`
5×	`sub0-neg_binary64`
4×	`log-rec_binary64` `exp-sqrt_binary64` `exp-sum_binary64` `remove-double-neg_binary64` `distribute-lft-out--_binary64`
2×	`difference-of-squares_binary64` `associate--l-_binary64`
1×	`cos-PI/6_binary64` `sin-PI/6_binary64` `exp-cbrt_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `count-2_binary64` `associate--l+_binary64` `associate--r+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_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` `mul-1-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64`

Counts

137 → 85

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	176	3183
1	387	2957
2	921	2942
3	2221	2915
4	4458	2915
5	4855	2913
6	4993	2913
7	4851	2913

prune87.0ms (2.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	85	2	87

Error

Counts

87 → 2

Compiler

Compiled 2359 to 1676 computations (29% saved)

regimes513.0ms (16.3%)

Accuracy

Total 0.0b remaining (86.5%)

Threshold costs 0.0b (86.5%)

Compiler

Compiled 6329 to 6119 computations (3.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
3×	`neg-mul-1_binary64` `neg-sub0_binary64`
2×	`+-commutative_binary64`
1×	`sub-neg_binary64` `+-rgt-identity_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_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` `+-lft-identity_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`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	28
1	21	28
2	26	26
3	31	26
4	33	26
5	34	26
6	33	26

end1.0ms (0%)

Compiler: Compiled 16 to 16 computations (0% saved)

sample1.0s (33.3%)

Algorithm

1×

intervals

Results

617.0ms	8000×	body	128	valid
39.0ms	564×	body	128	nan

Compiler

Compiled 75 to 79 computations (-5.3% saved)

Details

analyze193.0ms (6.1%)

sample31.0ms (1%)

simplify11.0ms (0.4%)

prune4.0ms (0.1%)

localize13.0ms (0.4%)

rewrite92.0ms (2.9%)

series70.0ms (2.2%)

simplify155.0ms (4.9%)

prune54.0ms (1.7%)

localize10.0ms (0.3%)

rewrite41.0ms (1.3%)

series39.0ms (1.2%)

simplify204.0ms (6.5%)

prune18.0ms (0.6%)

localize16.0ms (0.5%)

rewrite184.0ms (5.9%)

series142.0ms (4.5%)

simplify212.0ms (6.8%)

prune87.0ms (2.8%)

regimes513.0ms (16.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample1.0s (33.3%)

Profiling