Details

analyze304.0ms (6.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

1× +-commutative_binary64 swap-a-b

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-/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 associate-+l+_binary64 associate-+r+_binary64 *-commutative_binary64

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	8	20
2	8	20
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
25%	74.9%	0.1%	4
50%	50%	0.1%	5
50%	37.5%	12.6%	6
50%	25%	25.1%	7
50%	18.7%	31.3%	8
50%	12.5%	37.6%	9
50%	9.4%	40.7%	10
50%	6.2%	43.8%	11
50%	4.7%	45.4%	12
50%	3.1%	46.9%	13
50%	2.3%	47.7%	14

Symmetry

(sort a b)

Compiler

Compiled 7 to 7 computations (0% saved)

sample76.0ms (1.6%)

Algorithm

1×

intervals

Results

29.0ms	59×	body	1024	valid
14.0ms	139×	body	128	valid
8.0ms	33×	body	512	valid
3.0ms	4×	body	2048	valid
3.0ms	21×	body	256	valid
0.0ms	6×	body	128	overflowed

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1× +-commutative_binary64

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	8	10
2	8	10

prune3.0ms (0.1%)

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

30.4b

Counts

1 → 1

Compiler

Compiled 6 to 6 computations (0% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
4.4b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite49.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

30.3b

Rules

7×	`*-un-lft-identity_binary64`
4×	`log-prod_binary64` `add-log-exp_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `add-exp-log_binary64`
2×	`flip3-+_binary64` `log-div_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `add-cbrt-cube_binary64`
1×	`log-pow_binary64` `rem-log-exp_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

2 → 27

Calls

2 calls:

6.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 330 to 84 computations (74.5% saved)

series81.0ms (1.8%)

Error

0.2b

Counts

2 → 23

Calls

2 calls:

45.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
18.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 699 to 563 computations (19.5% saved)

simplify123.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

633×	`cancel-sign-sub-inv_binary64`
292×	`associate-+l+_binary64`
284×	`associate-/r/_binary64`
266×	`associate-/l/_binary64`
217×	`sub-neg_binary64`
169×	`associate-+r+_binary64`
158×	`+-commutative_binary64`
137×	`times-frac_binary64`
136×	`distribute-rgt-neg-in_binary64`
134×	`associate-/l*_binary64`
132×	`neg-mul-1_binary64` `distribute-lft-neg-in_binary64`
128×	`distribute-rgt-in_binary64`
126×	`neg-sub0_binary64`
120×	`distribute-neg-frac_binary64`
105×	`distribute-lft-in_binary64`
101×	`distribute-rgt-out_binary64`
99×	`associate--l+_binary64`
94×	`associate-r_binary64`
85×	`unswap-sqr_binary64`
78×	`associate-l_binary64`
77×	`div-sub_binary64`
71×	`associate-/r*_binary64`
67×	`distribute-rgt-out--_binary64` `*-commutative_binary64`
66×	`unsub-neg_binary64`
59×	`distribute-lft-out_binary64`
58×	`prod-exp_binary64`
48×	`sqr-pow_binary64`
47×	`associate-*l/_binary64`
43×	`associate-*r/_binary64`
34×	`unpow3_binary64`
32×	`exp-prod_binary64`
28×	`distribute-lft-out--_binary64`
26×	`cube-prod_binary64`
24×	`log-prod_binary64` `cube-unmult_binary64`
20×	`associate-+r-_binary64`
19×	`pow-plus_binary64`
18×	`+-rgt-identity_binary64`
15×	`associate-+l-_binary64`
12×	`distribute-rgt1-in_binary64` `associate--r+_binary64`
8×	`log-pow_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `count-2_binary64`
7×	`cube-mult_binary64` `cube-div_binary64` `sub0-neg_binary64` `distribute-lft1-in_binary64`
6×	`distribute-neg-in_binary64`
5×	`pow-sqr_binary64` `distribute-lft-neg-out_binary64`
4×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-sum_binary64` `rem-sqrt-square_binary64` `difference-of-squares_binary64`
2×	`swap-sqr_binary64`
1×	`1-exp_binary64` `rem-exp-log_binary64` `distribute-rgt-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` `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` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_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` `mul-1-neg_binary64` `/-rgt-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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

50 → 34

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	920
1	277	873
2	761	837
3	2534	826
4	4527	826
5	4990	826
6	4997	826
7	4976	826

prune43.0ms (0.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	31	3	34
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	32	3	35

Error

0.2b

Counts

35 → 3

Compiler

Compiled 532 to 256 computations (51.9% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
0.0b	(/.f64 b (+.f64 1 (exp.f64 a)))
0.0b	(+.f64 1 (exp.f64 a))
0.0b	(+.f64 1 (exp.f64 a))

rewrite114.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

31×	`*-un-lft-identity_binary64`
14×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
12×	`times-frac_binary64`
9×	`add-log-exp_binary64` `distribute-lft-out_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64` `flip3-+_binary64` `flip-+_binary64`
4×	`associate-/r*_binary64` `log-prod_binary64` `associate-+l+_binary64`
3×	`sum-log_binary64` `+-commutative_binary64` `associate-/l*_binary64`
2×	`associate-/r/_binary64` `log-div_binary64` `associate-+l-_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `log-pow_binary64`

Counts

4 → 76

Calls

4 calls:

13.0ms	(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
5.0ms	(/.f64 b (+.f64 1 (exp.f64 a)))
3.0ms	(+.f64 1 (exp.f64 a))
3.0ms	(+.f64 1 (exp.f64 a))

Compiler

Compiled 1379 to 850 computations (38.4% saved)

series92.0ms (2%)

Error

0.2b

Counts

4 → 26

Calls

4 calls:

40.0ms	(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
21.0ms	(/.f64 b (+.f64 1 (exp.f64 a)))
7.0ms	(+.f64 1 (exp.f64 a))
5.0ms	(+.f64 1 (exp.f64 a))

Compiler

Compiled 700 to 575 computations (17.9% saved)

simplify123.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

410×	`div-sub_binary64`
344×	`cancel-sign-sub-inv_binary64`
284×	`associate-+l+_binary64`
261×	`associate-/l*_binary64`
232×	`associate-l_binary64`
221×	`associate-+r+_binary64`
220×	`distribute-rgt-in_binary64`
217×	`sub-neg_binary64`
191×	`associate-r_binary64`
190×	`times-frac_binary64`
171×	`distribute-lft-in_binary64`
154×	`associate-/l/_binary64`
136×	`+-commutative_binary64`
129×	`*-commutative_binary64`
115×	`unswap-sqr_binary64`
111×	`associate-/r*_binary64`
107×	`associate-*l/_binary64`
87×	`distribute-neg-in_binary64` `distribute-rgt-out_binary64`
83×	`distribute-rgt-neg-in_binary64`
69×	`unsub-neg_binary64`
67×	`associate-*r/_binary64`
66×	`distribute-neg-frac_binary64` `distribute-lft-neg-in_binary64`
65×	`sqr-pow_binary64`
64×	`associate-+l-_binary64`
60×	`associate--l+_binary64`
52×	`associate-/r/_binary64`
48×	`neg-mul-1_binary64`
45×	`exp-prod_binary64`
40×	`neg-sub0_binary64`
39×	`distribute-rgt-out--_binary64`
38×	`exp-sum_binary64`
36×	`associate--r+_binary64`
34×	`associate-+r-_binary64`
33×	`sub0-neg_binary64`
30×	`*-lft-identity_binary64`
29×	`distribute-rgt1-in_binary64`
28×	`+-rgt-identity_binary64`
27×	`*-rgt-identity_binary64`
24×	`distribute-lft-neg-out_binary64`
23×	`prod-exp_binary64`
22×	`pow-plus_binary64` `distribute-lft-out_binary64`
21×	`cube-unmult_binary64`
19×	`log-prod_binary64`
18×	`cube-prod_binary64`
17×	`unpow3_binary64`
16×	`distribute-lft1-in_binary64`
14×	`/-rgt-identity_binary64` `distribute-rgt-neg-out_binary64`
11×	`exp-diff_binary64`
10×	`associate--l-_binary64`
9×	`cube-div_binary64`
8×	`mul0-rgt_binary64` `mul0-lft_binary64` `pow-sqr_binary64`
7×	`distribute-neg-out_binary64` `distribute-lft-out--_binary64`
6×	`rem-sqrt-square_binary64` `difference-of-squares_binary64`
5×	`cube-mult_binary64` `--rgt-identity_binary64`
4×	`count-2_binary64`
3×	`log-div_binary64` `unpow1/2_binary64` `exp-to-pow_binary64` `div0_binary64` `associate--r-_binary64`
2×	`unpow1_binary64` `rem-exp-log_binary64` `remove-double-neg_binary64` `difference-of-sqr--1_binary64` `swap-sqr_binary64` `distribute-frac-neg_binary64`
1×	`unpow2_binary64` `exp-lft-sqr_binary64` `rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `sqr-neg_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_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` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-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` `mul-1-neg_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64`

Counts

102 → 75

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	125	1596
1	303	1523
2	634	1517
3	1412	1516
4	3561	1516
5	4468	1516
6	4905	1516

prune67.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	74	4	78

Error

0.2b

Counts

78 → 4

Compiler

Compiled 1241 to 781 computations (37.1% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 b) (cbrt.f64 b))
0.6b	(cbrt.f64 b)
0.6b	(cbrt.f64 b)
0.6b	(cbrt.f64 b)

rewrite84.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`add-exp-log_binary64` `swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 b) (cbrt.f64 b))
1.0ms	(cbrt.f64 b)
1.0ms	(cbrt.f64 b)
1.0ms	(cbrt.f64 b)

Compiler

Compiled 1623 to 697 computations (57.1% saved)

series81.0ms (1.8%)

Error

0.2b

Counts

4 → 12

Calls

4 calls:

21.0ms	(*.f64 (cbrt.f64 b) (cbrt.f64 b))
19.0ms	(cbrt.f64 b)
17.0ms	(cbrt.f64 b)
16.0ms	(cbrt.f64 b)

Compiler

Compiled 692 to 519 computations (25% saved)

simplify102.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

586×	`log-prod_binary64`
416×	`sqr-pow_binary64`
335×	`associate-l_binary64`
309×	`*-commutative_binary64`
277×	`distribute-rgt-neg-in_binary64`
257×	`distribute-lft-neg-in_binary64`
227×	`associate-r_binary64`
188×	`exp-prod_binary64`
161×	`log-pow_binary64`
149×	`cube-prod_binary64`
128×	`pow-sqr_binary64`
124×	`unswap-sqr_binary64`
111×	`swap-sqr_binary64`
104×	`associate-/l*_binary64`
81×	`cancel-sign-sub-inv_binary64`
75×	`associate-+l+_binary64`
69×	`associate-+r+_binary64`
61×	`distribute-rgt-in_binary64`
60×	`distribute-lft-out_binary64`
57×	`distribute-lft-in_binary64`
54×	`neg-sub0_binary64`
53×	`neg-mul-1_binary64`
48×	`distribute-rgt-out_binary64`
45×	`+-commutative_binary64`
43×	`pow-plus_binary64` `rem-sqrt-square_binary64`
41×	`times-frac_binary64` `sub-neg_binary64`
37×	`associate-/r/_binary64`
35×	`associate-*r/_binary64`
32×	`unpow3_binary64`
31×	`-rgt-identity_binary64` `-lft-identity_binary64` `associate-/l/_binary64`
29×	`count-2_binary64`
27×	`cube-mult_binary64`
24×	`associate-/r*_binary64`
17×	`log-div_binary64` `cube-div_binary64` `distribute-neg-frac_binary64`
13×	`cube-unmult_binary64` `distribute-rgt1-in_binary64`
11×	`distribute-rgt-neg-out_binary64`
10×	`unpow1/2_binary64`
9×	`distribute-lft-neg-out_binary64` `distribute-lft1-in_binary64`
8×	`unpow2_binary64` `associate-*l/_binary64`
5×	`unpow1_binary64`
3×	`unpow1/3_binary64`
2×	`exp-sqrt_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `mul-1-neg_binary64`
1×	`exp-lft-sqr_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_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` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_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-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `unsub-neg_binary64` `/-rgt-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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+r-_binary64`

Counts

85 → 50

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	56	718
1	97	666
2	308	646
3	1135	632
4	2034	548
5	3257	548
6	4939	548
7	4873	548

prune32.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	50	4	54

Error

0.2b

Counts

54 → 4

Compiler

Compiled 645 to 358 computations (44.5% saved)

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (cbrt.f64 b))
0.6b	(cbrt.f64 (cbrt.f64 b))
0.6b	(cbrt.f64 (cbrt.f64 b))
0.9b	(pow.f64 (cbrt.f64 (cbrt.f64 b)) 4)

rewrite91.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

36×	`cbrt-prod_binary64`
14×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
9×	`unpow-prod-down_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`pow1/3_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64`
2×	`pow-pow_binary64`
1×	`pow-to-exp_binary64` `pow-exp_binary64` `sqr-pow_binary64`

Counts

4 → 66

Calls

4 calls:

4.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 b)) 4)
1.0ms	(cbrt.f64 (cbrt.f64 b))
1.0ms	(cbrt.f64 (cbrt.f64 b))
1.0ms	(cbrt.f64 (cbrt.f64 b))

Compiler

Compiled 2092 to 886 computations (57.6% saved)

series108.0ms (2.3%)

Error

0.2b

Counts

4 → 12

Calls

4 calls:

29.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 b)) 4)
24.0ms	(cbrt.f64 (cbrt.f64 b))
22.0ms	(cbrt.f64 (cbrt.f64 b))
22.0ms	(cbrt.f64 (cbrt.f64 b))

Compiler

Compiled 948 to 654 computations (31% saved)

simplify74.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

658×	`distribute-rgt-in_binary64`
556×	`distribute-lft-in_binary64`
387×	`sqr-pow_binary64`
275×	`*-commutative_binary64`
255×	`unswap-sqr_binary64`
205×	`cube-prod_binary64`
172×	`log-prod_binary64` `exp-prod_binary64`
135×	`pow-sqr_binary64`
105×	`associate-l_binary64`
94×	`associate-/l*_binary64`
92×	`associate-r_binary64`
90×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
76×	`associate-+l+_binary64`
74×	`distribute-rgt-out_binary64`
62×	`distribute-lft-out_binary64`
61×	`pow-plus_binary64`
60×	`associate-+r+_binary64`
56×	`swap-sqr_binary64`
46×	`log-pow_binary64`
41×	`cube-unmult_binary64`
38×	`unpow3_binary64`
34×	`rem-sqrt-square_binary64`
33×	`cube-mult_binary64`
32×	`times-frac_binary64`
31×	`associate-/l/_binary64`
28×	`associate-/r*_binary64`
21×	`associate-*r/_binary64`
16×	`associate-/r/_binary64`
14×	`unpow2_binary64`
13×	`*-rgt-identity_binary64`
12×	`unpow1/2_binary64` `unpow1_binary64` `neg-sub0_binary64` `cancel-sign-sub-inv_binary64`
10×	`neg-mul-1_binary64`
9×	`rem-3cbrt-rft_binary64` `*-lft-identity_binary64`
6×	`count-2_binary64`
4×	`sub-neg_binary64` `distribute-rgt1-in_binary64` `associate-*l/_binary64`
3×	`/-rgt-identity_binary64`
2×	`unpow1/3_binary64` `rem-cbrt-cube_binary64` `mul-1-neg_binary64`
1×	`1-exp_binary64` `rem-3cbrt-lft_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `distribute-lft1-in_binary64` `associate-+l-_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-rec_binary64` `log-div_binary64` `pow-base-0_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-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `unsub-neg_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_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-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+r-_binary64`

Counts

78 → 34

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	68	889
1	127	800
2	253	791
3	637	786
4	1251	773
5	2328	773
6	4822	773

prune24.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	33	1	34
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	34	4	38

Error

0.2b

Counts

38 → 4

Compiler

Compiled 595 to 288 computations (51.6% saved)

regimes760.0ms (16.4%)

Accuracy

Total 0.5b remaining (43.5%)

Threshold costs 0.5b (43.5%)

Compiler

Compiled 11005 to 8220 computations (25.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`1-exp_binary64` `exp-1-e_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` `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-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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	24
1	19	24
2	18	24

end10.0ms (0.2%)

Compiler: Compiled 42 to 36 computations (14.3% saved)

sample2.1s (46%)

Algorithm

1×

intervals

Results

925.0ms	1976×	body	1024	valid
218.0ms	949×	body	512	valid
179.0ms	4356×	body	128	valid
115.0ms	186×	body	2048	valid
70.0ms	533×	body	256	valid
5.0ms	121×	body	128	overflowed

Compiler

Compiled 112 to 87 computations (22.3% saved)

Details

analyze304.0ms (6.6%)

sample76.0ms (1.6%)

simplify9.0ms (0.2%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

rewrite49.0ms (1.1%)

series81.0ms (1.8%)

simplify123.0ms (2.7%)

prune43.0ms (0.9%)

localize10.0ms (0.2%)

rewrite114.0ms (2.5%)

series92.0ms (2%)

simplify123.0ms (2.7%)

prune67.0ms (1.4%)

localize13.0ms (0.3%)

rewrite84.0ms (1.8%)

series81.0ms (1.8%)

simplify102.0ms (2.2%)

prune32.0ms (0.7%)

localize19.0ms (0.4%)

rewrite91.0ms (2%)

series108.0ms (2.3%)

simplify74.0ms (1.6%)

prune24.0ms (0.5%)

regimes760.0ms (16.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end10.0ms (0.2%)

sample2.1s (46%)

Profiling