Details

analyze792.0ms (14.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

4×	`associate-/r*_binary64`
2×	`*-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` `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` `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` `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-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` `associate-+l+_binary64` `associate-+r+_binary64` `+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	20	40
2	24	40
3	24	40
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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
18.7%	81.2%	0.1%	7
32.8%	67.1%	0.1%	8
38.2%	61.7%	0.1%	9
41%	58.9%	0.1%	10
43.9%	56%	0.1%	11
45.4%	54.5%	0.1%	12
46.9%	53%	0.1%	13
47.6%	52.3%	0.1%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample69.0ms (1.3%)

Algorithm

1×

intervals

Results

23.0ms	47×	body	2048	valid
14.0ms	127×	body	128	valid
13.0ms	42×	body	1024	valid
6.0ms	25×	body	512	valid
3.0ms	15×	body	256	valid

Compiler

Compiled 27 to 25 computations (7.4% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`associate-/r*_binary64`
1×	`*-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` `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` `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` `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-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` `associate-+l+_binary64` `associate-+r+_binary64` `+-commutative_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	12	20
2	14	20
3	14	20

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

37.5b

Counts

1 → 1

Compiler

Compiled 13 to 11 computations (15.4% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

6.0b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
31.0b	(sin.f64 (/.f64 x (*.f64 y 2)))
31.4b	(tan.f64 (/.f64 x (*.f64 y 2)))

rewrite88.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

37.5b

Rules

11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
9×	`times-frac_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow1_binary64` `add-log-exp_binary64` `associate-/l_binary64` `associate-/r_binary64`
2×	`tan-quot_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l/_binary64`

Counts

3 → 43

Calls

3 calls:

5.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
2.0ms	(tan.f64 (/.f64 x (*.f64 y 2)))
2.0ms	(sin.f64 (/.f64 x (*.f64 y 2)))

Compiler

Compiled 1002 to 736 computations (26.5% saved)

series115.0ms (2.1%)

Error

28.7b

Counts

3 → 27

Calls

3 calls:

41.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
34.0ms	(tan.f64 (/.f64 x (*.f64 y 2)))
23.0ms	(sin.f64 (/.f64 x (*.f64 y 2)))

Compiler

Compiled 862 to 709 computations (17.7% saved)

simplify132.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

568×	`associate-*l/_binary64`
527×	`associate-/r*_binary64`
509×	`associate-*r/_binary64`
402×	`associate-l_binary64`
282×	`associate-/l/_binary64`
216×	`unswap-sqr_binary64`
212×	`associate-/r/_binary64`
144×	`times-frac_binary64`
132×	`associate-/l*_binary64`
127×	`div-sub_binary64`
125×	`distribute-neg-frac_binary64`
114×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
90×	`neg-mul-1_binary64`
88×	`neg-sub0_binary64`
86×	`cancel-sign-sub-inv_binary64`
63×	`associate-r_binary64`
51×	`sub-neg_binary64`
45×	`sqr-pow_binary64`
42×	`*-commutative_binary64`
30×	`unpow3_binary64`
24×	`cube-unmult_binary64`
20×	`pow-plus_binary64`
17×	`cube-div_binary64`
15×	`cube-mult_binary64`
13×	`cube-prod_binary64`
12×	`*-lft-identity_binary64`
6×	`*-rgt-identity_binary64` `distribute-rgt-out_binary64` `+-commutative_binary64`
5×	`pow-sqr_binary64`
4×	`/-rgt-identity_binary64` `div0_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
3×	`log-div_binary64` `unpow1/2_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
2×	`log-prod_binary64` `unpow2_binary64` `unpow1_binary64` `exp-prod_binary64` `rem-sqrt-square_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `remove-double-neg_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` `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` `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` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_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` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate--r-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Counts

70 → 18

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	82	1525
1	159	1405
2	352	1387
3	1232	1387
4	4397	1387
5	4971	1387
6	4989	1387
7	4951	1387

prune23.0ms (0.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	10	8	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	9	19

Error

31.2b

Counts

19 → 9

Compiler

Compiled 345 to 259 computations (24.9% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.2b	(*.f64 (/.f64 x y) (/.f64 x y))

rewrite125.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

31.2b

Rules

41×	`add-sqr-sqrt_binary64`
40×	`times-frac_binary64`
29×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64`
8×	`pow1_binary64`
4×	`div-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-inv_binary64`
1×	`pow2_binary64` `pow-prod-down_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `add-log-exp_binary64` `frac-times_binary64` `pow-sqr_binary64` `associate-l/_binary64` `associate-r/_binary64` `*-commutative_binary64`

Counts

1 → 67

Calls

1 calls:

11.0ms

(*.f64 (/.f64 x y) (/.f64 x y))

Compiler

Compiled 1240 to 469 computations (62.2% saved)

series24.0ms (0.4%)

Error

31.2b

Counts

1 → 6

Calls

1 calls:

22.0ms

(*.f64 (/.f64 x y) (/.f64 x y))

Compiler

Compiled 143 to 143 computations (0% saved)

simplify98.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

726×	`associate-/l*_binary64`
529×	`associate-*l/_binary64`
408×	`times-frac_binary64`
392×	`unswap-sqr_binary64` `associate-*r/_binary64`
349×	`associate-/l/_binary64`
309×	`log-div_binary64`
287×	`log-prod_binary64`
200×	`associate-/r*_binary64`
153×	`associate-/r/_binary64`
144×	`*-commutative_binary64`
110×	`swap-sqr_binary64`
94×	`associate-l_binary64`
91×	`cube-div_binary64` `associate-r_binary64`
86×	`cube-prod_binary64`
72×	`*-rgt-identity_binary64`
60×	`exp-prod_binary64`
58×	`sqr-pow_binary64`
53×	`*-lft-identity_binary64`
29×	`/-rgt-identity_binary64`
27×	`log-rec_binary64`
25×	`sub-neg_binary64`
24×	`log-pow_binary64`
17×	`pow-sqr_binary64`
16×	`pow-plus_binary64`
12×	`associate-+r+_binary64`
11×	`unpow3_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `remove-double-div_binary64`
10×	`associate-+l+_binary64`
9×	`cube-unmult_binary64`
8×	`unsub-neg_binary64`
7×	`cube-mult_binary64` `distribute-neg-in_binary64`
6×	`rem-sqrt-square_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
5×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `+-commutative_binary64`
3×	`unpow1/2_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `count-2_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `associate--r-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `--rgt-identity_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-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` `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-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_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-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` `associate--l-_binary64`

Counts

73 → 67

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	1210
1	308	1019
2	966	853
3	3549	779
4	4703	779
5	5182	779

prune85.0ms (1.6%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	58	9	67
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	59	17	76

Error

31.1b

Counts

76 → 17

Compiler

Compiled 1011 to 588 computations (41.8% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 y)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite96.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

30.5b

Rules

12×	`cbrt-prod_binary64`
8×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
4×	`pow1/3_binary64` `pow1_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1196 to 461 computations (61.5% saved)

series92.0ms (1.7%)

Error

31.1b

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt.f64 x)
19.0ms	(cbrt.f64 x)
19.0ms	(cbrt.f64 y)
18.0ms	(cbrt.f64 x)

Compiler

Compiled 828 to 562 computations (32.1% saved)

simplify106.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

596×	`log-prod_binary64`
434×	`distribute-rgt-in_binary64`
426×	`distribute-lft-in_binary64`
382×	`associate-l_binary64`
368×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
356×	`unswap-sqr_binary64`
334×	`distribute-rgt-out_binary64`
254×	`*-commutative_binary64`
238×	`associate-r_binary64`
236×	`associate-+l+_binary64` `associate-+r+_binary64`
158×	`cancel-sign-sub-inv_binary64`
124×	`sqr-pow_binary64`
114×	`log-pow_binary64`
78×	`exp-prod_binary64`
58×	`cube-prod_binary64`
54×	`neg-sub0_binary64`
52×	`neg-mul-1_binary64`
50×	`distribute-rgt1-in_binary64`
48×	`unsub-neg_binary64`
36×	`pow-plus_binary64` `pow-sqr_binary64`
34×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
30×	`sub-neg_binary64`
28×	`distribute-lft-out_binary64`
26×	`unpow3_binary64` `distribute-lft1-in_binary64`
22×	`*-rgt-identity_binary64`
20×	`rem-sqrt-square_binary64` `*-lft-identity_binary64` `count-2_binary64`
18×	`cube-unmult_binary64`
16×	`cube-mult_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
10×	`associate-/l*_binary64`
8×	`unpow2_binary64`
4×	`unpow1/3_binary64` `associate-/l/_binary64` `associate-*r/_binary64`
2×	`unpow1_binary64` `rem-3cbrt-lft_binary64` `times-frac_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `associate-/r/_binary64` `associate-/r*_binary64` `associate-+l-_binary64` `+-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-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/2_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-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate-l/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+r-_binary64`

Counts

56 → 20

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	340
1	61	324
2	151	324
3	385	324
4	1190	324
5	3448	324
6	4669	324
7	4967	324
8	4832	324

prune30.0ms (0.6%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	19	1	20
Fresh	2	13	15
Picked	1	0	1
Done	0	1	1
Total	22	15	37

Error

31.1b

Counts

37 → 15

Compiler

Compiled 506 to 320 computations (36.8% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 y)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite92.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

30.5b

Rules

12×	`cbrt-prod_binary64`
8×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
4×	`pow1/3_binary64` `pow1_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1196 to 457 computations (61.8% saved)

series91.0ms (1.7%)

Error

31.1b

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt.f64 x)
20.0ms	(cbrt.f64 y)
18.0ms	(cbrt.f64 x)
17.0ms	(cbrt.f64 x)

Compiler

Compiled 828 to 537 computations (35.1% saved)

simplify108.0ms (2%)

Algorithm

1×	egg-herbie

Rules

596×	`log-prod_binary64`
434×	`distribute-rgt-in_binary64`
426×	`distribute-lft-in_binary64`
382×	`associate-l_binary64`
368×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
356×	`unswap-sqr_binary64`
334×	`distribute-rgt-out_binary64`
254×	`*-commutative_binary64`
238×	`associate-r_binary64`
236×	`associate-+l+_binary64` `associate-+r+_binary64`
158×	`cancel-sign-sub-inv_binary64`
124×	`sqr-pow_binary64`
114×	`log-pow_binary64`
78×	`exp-prod_binary64`
58×	`cube-prod_binary64`
54×	`neg-sub0_binary64`
52×	`neg-mul-1_binary64`
50×	`distribute-rgt1-in_binary64`
48×	`unsub-neg_binary64`
36×	`pow-plus_binary64` `pow-sqr_binary64`
34×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
30×	`sub-neg_binary64`
28×	`distribute-lft-out_binary64`
26×	`unpow3_binary64` `distribute-lft1-in_binary64`
22×	`*-rgt-identity_binary64`
20×	`rem-sqrt-square_binary64` `*-lft-identity_binary64` `count-2_binary64`
18×	`cube-unmult_binary64`
16×	`cube-mult_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
10×	`associate-/l*_binary64`
8×	`unpow2_binary64`
4×	`unpow1/3_binary64` `associate-/l/_binary64` `associate-*r/_binary64`
2×	`unpow1_binary64` `rem-3cbrt-lft_binary64` `times-frac_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `associate-/r/_binary64` `associate-/r*_binary64` `associate-+l-_binary64` `+-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-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/2_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-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate-l/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+r-_binary64`

Counts

56 → 20

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	340
1	61	324
2	151	324
3	385	324
4	1190	324
5	3448	324
6	4669	324
7	4967	324
8	4832	324

prune20.0ms (0.4%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	19	1	20
Fresh	1	12	13
Picked	0	1	1
Done	0	1	1
Total	20	15	35

Error

31.1b

Counts

35 → 15

Compiler

Compiled 247 to 119 computations (51.8% saved)

regimes1.0s (18.3%)

Accuracy

Total 4.4b remaining (15.2%)

Threshold costs 0b (0%)

Compiler

Compiled 11641 to 8763 computations (24.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1× 1-exp_binary64

0× not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 unpow1_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 sqr-abs_binary64 sqr-neg_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 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 *-commutative_binary64 +-commutative_binary64

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
1	4	1
2	3	1

end1.0ms (0%)

Compiler: Compiled 1 to 3 computations (-200% saved)

sample2.2s (40.6%)

Algorithm

1×

intervals

Results

513.0ms	1098×	body	2048	valid
434.0ms	1361×	body	1024	valid
342.0ms	4209×	body	128	valid
208.0ms	889×	body	512	valid
74.0ms	441×	body	256	valid
2.0ms	2×	body	4096	valid

Compiler

Compiled 322 to 263 computations (18.3% saved)

Details

analyze792.0ms (14.5%)

sample69.0ms (1.3%)

simplify10.0ms (0.2%)

prune1.0ms (0%)

localize9.0ms (0.2%)

rewrite88.0ms (1.6%)

series115.0ms (2.1%)

simplify132.0ms (2.4%)

prune23.0ms (0.4%)

localize6.0ms (0.1%)

rewrite125.0ms (2.3%)

series24.0ms (0.4%)

simplify98.0ms (1.8%)

prune85.0ms (1.6%)

localize18.0ms (0.3%)

rewrite96.0ms (1.8%)

series92.0ms (1.7%)

simplify106.0ms (1.9%)

prune30.0ms (0.6%)

localize13.0ms (0.2%)

rewrite92.0ms (1.7%)

series91.0ms (1.7%)

simplify108.0ms (2%)

prune20.0ms (0.4%)

regimes1.0s (18.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample2.2s (40.6%)

Profiling