Details

analyze302.0ms (12%)

Algorithm

1×	search
2×	egg-herbie

Rules

2074×	`distribute-lft-out--_binary64`
788×	`distribute-rgt-out--_binary64`
756×	`unsub-neg_binary64`
614×	`sub-neg_binary64`
581×	`distribute-rgt-out_binary64`
576×	`+-commutative_binary64`
502×	`distribute-neg-in_binary64`
416×	`distribute-rgt-in_binary64`
367×	`distribute-lft-out_binary64`
340×	`distribute-rgt1-in_binary64`
241×	`neg-sub0_binary64`
202×	`neg-mul-1_binary64`
193×	`distribute-rgt-neg-in_binary64` `distribute-lft-in_binary64`
163×	`*-commutative_binary64`
155×	`distribute-lft-neg-out_binary64`
141×	`associate--r+_binary64`
140×	`distribute-lft-neg-in_binary64`
119×	`associate-+r+_binary64`
112×	`distribute-neg-out_binary64`
101×	`associate--l+_binary64`
98×	`associate-+l+_binary64`
97×	`associate-+l-_binary64`
93×	`associate-+r-_binary64`
91×	`associate--r-_binary64`
88×	`associate-l_binary64`
84×	`*-rgt-identity_binary64`
81×	`cancel-sign-sub-inv_binary64` `associate-r_binary64`
78×	`distribute-rgt-neg-out_binary64`
70×	`associate--l-_binary64`
50×	`remove-double-neg_binary64`
40×	`distribute-lft1-in_binary64`
35×	`*-lft-identity_binary64`
20×	`cancel-sign-sub_binary64`
17×	`associate-/r*_binary64`
10×	`sub0-neg_binary64`
7×	`mul-1-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `swap-sqr_binary64`
4×	`sqr-neg_binary64` `--rgt-identity_binary64`
3×	`+-rgt-identity_binary64`
2×	`/-rgt-identity_binary64` `associate-/l/_binary64`
1×	`1-exp_binary64` `+-lft-identity_binary64` `difference-of-sqr-1_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` `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` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_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-squares_binary64` `unswap-sqr_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `count-2_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-l/_binary64` `associate-r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	18	20
2	24	20
3	31	20
4	45	20
5	60	20
6	96	20
7	213	20
8	364	20
9	486	20
10	1099	20
11	1877	20
12	1931	20
13	2167	20
14	2315	20
15	2313	20
16	2390	20
17	2649	20
18	3212	20
19	4204	20
20	4738	20
21	4780	20
22	4791	20
23	4788	20
24	4573	20
25	4366	20
26	4503	20
27	4563	20
28	4606	20
29	7544	20
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
12.5%	25%	62.5%	4
18.7%	12.5%	68.8%	5
21.9%	6.2%	71.9%	6
23.4%	3.1%	73.5%	7
24.2%	1.6%	74.2%	8
24.6%	0.8%	74.6%	9
24.8%	0.4%	74.8%	10
24.9%	0.2%	74.9%	11
24.9%	0.1%	75%	12
25%	0%	75%	13
25%	0%	75%	14

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample25.0ms (1%)

Algorithm

1×

intervals

Results

17.0ms

256×

body

128

valid

Compiler

Compiled 27 to 22 computations (18.5% saved)

simplify296.0ms (11.7%)

Algorithm

1×	egg-herbie

Rules

2074×	`distribute-lft-out--_binary64`
788×	`distribute-rgt-out--_binary64`
756×	`unsub-neg_binary64`
614×	`sub-neg_binary64`
581×	`distribute-rgt-out_binary64`
576×	`+-commutative_binary64`
502×	`distribute-neg-in_binary64`
416×	`distribute-rgt-in_binary64`
367×	`distribute-lft-out_binary64`
340×	`distribute-rgt1-in_binary64`
241×	`neg-sub0_binary64`
202×	`neg-mul-1_binary64`
193×	`distribute-rgt-neg-in_binary64` `distribute-lft-in_binary64`
163×	`*-commutative_binary64`
155×	`distribute-lft-neg-out_binary64`
141×	`associate--r+_binary64`
140×	`distribute-lft-neg-in_binary64`
119×	`associate-+r+_binary64`
112×	`distribute-neg-out_binary64`
101×	`associate--l+_binary64`
98×	`associate-+l+_binary64`
97×	`associate-+l-_binary64`
93×	`associate-+r-_binary64`
91×	`associate--r-_binary64`
88×	`associate-l_binary64`
84×	`*-rgt-identity_binary64`
81×	`cancel-sign-sub-inv_binary64` `associate-r_binary64`
78×	`distribute-rgt-neg-out_binary64`
70×	`associate--l-_binary64`
50×	`remove-double-neg_binary64`
40×	`distribute-lft1-in_binary64`
35×	`*-lft-identity_binary64`
20×	`cancel-sign-sub_binary64`
17×	`associate-/r*_binary64`
10×	`sub0-neg_binary64`
7×	`mul-1-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `swap-sqr_binary64`
4×	`sqr-neg_binary64` `--rgt-identity_binary64`
3×	`+-rgt-identity_binary64`
2×	`/-rgt-identity_binary64` `associate-/l/_binary64`
1×	`1-exp_binary64` `+-lft-identity_binary64` `difference-of-sqr-1_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` `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` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_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-squares_binary64` `unswap-sqr_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `count-2_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-l/_binary64` `associate-r/_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	18	20
2	24	20
3	31	20
4	45	20
5	60	20
6	96	20
7	213	20
8	364	20
9	486	20
10	1099	20
11	1877	20
12	1931	20
13	2167	20
14	2315	20
15	2313	20
16	2390	20
17	2649	20
18	3212	20
19	4204	20
20	4738	20
21	4780	20
22	4791	20
23	4788	20
24	4573	20
25	4366	20
26	4503	20
27	4563	20
28	4606	20
29	7544	20

prune1.0ms (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

0.0b

Counts

1 → 1

Compiler

Compiled 13 to 10 computations (23.1% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite217.0ms (8.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

66×	`*-un-lft-identity_binary64`
50×	`times-frac_binary64`
43×	`add-sqr-sqrt_binary64`
31×	`add-cube-cbrt_binary64` `sqrt-prod_binary64`
16×	`distribute-lft-out_binary64`
15×	`log-prod_binary64`
13×	`div-inv_binary64`
10×	`difference-of-squares_binary64`
8×	`associate-/l*_binary64`
7×	`add-exp-log_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `add-cbrt-cube_binary64` `distribute-rgt-out_binary64`
4×	`sqrt-div_binary64`
3×	`associate-/r*_binary64` `log-div_binary64`
2×	`frac-add_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-rgt1-in_binary64` `flip3--_binary64` `flip--_binary64` `associate-/l/_binary64`
1×	`sum-log_binary64` `+-commutative_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `log-pow_binary64` `rem-log-exp_binary64`

Counts

4 → 117

Calls

4 calls:

28.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
23.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
6.0ms	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
3.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 2372 to 1498 computations (36.8% saved)

series67.0ms (2.7%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

13.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
11.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))
11.0ms	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
9.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))

Compiler

Compiled 688 to 592 computations (14% saved)

simplify151.0ms (6%)

Algorithm

1×	egg-herbie

Rules

437×	`distribute-rgt-neg-in_binary64`
362×	`distribute-lft-neg-in_binary64`
325×	`sub-neg_binary64`
285×	`associate-l_binary64` `associate-r_binary64`
243×	`cancel-sign-sub-inv_binary64`
230×	`div-sub_binary64`
208×	`times-frac_binary64`
134×	`associate-/l*_binary64`
120×	`associate-/r*_binary64`
113×	`*-commutative_binary64`
106×	`unswap-sqr_binary64`
104×	`distribute-neg-in_binary64`
103×	`log-prod_binary64`
94×	`distribute-rgt-in_binary64`
92×	`associate--r+_binary64`
86×	`associate-+l+_binary64`
84×	`distribute-rgt-out--_binary64`
75×	`neg-sub0_binary64`
74×	`unsub-neg_binary64`
72×	`neg-mul-1_binary64` `+-commutative_binary64`
70×	`log-div_binary64`
68×	`cube-prod_binary64`
67×	`cube-div_binary64`
60×	`distribute-lft-in_binary64`
59×	`associate-/l/_binary64`
51×	`distribute-neg-frac_binary64` `associate-+r+_binary64`
50×	`associate-*l/_binary64`
49×	`distribute-lft-neg-out_binary64` `associate-+l-_binary64`
42×	`sqr-pow_binary64` `associate-*r/_binary64` `associate-+r-_binary64`
40×	`distribute-rgt-out_binary64`
34×	`associate-/r/_binary64`
30×	`distribute-rgt1-in_binary64` `associate--l+_binary64`
29×	`unpow3_binary64`
28×	`sub0-neg_binary64`
25×	`exp-prod_binary64`
23×	`distribute-lft-out_binary64`
21×	`cube-mult_binary64` `distribute-rgt-neg-out_binary64`
18×	`+-rgt-identity_binary64`
17×	`swap-sqr_binary64` `associate--l-_binary64`
16×	`*-lft-identity_binary64`
15×	`cube-unmult_binary64` `*-rgt-identity_binary64`
14×	`log-rec_binary64`
13×	`/-rgt-identity_binary64`
12×	`pow-plus_binary64`
8×	`exp-sum_binary64` `cancel-sign-sub_binary64`
7×	`difference-of-sqr-1_binary64`
6×	`log-pow_binary64` `distribute-frac-neg_binary64`
5×	`remove-double-div_binary64`
4×	`prod-exp_binary64` `distribute-neg-out_binary64`
3×	`unpow1/2_binary64` `rem-sqrt-square_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `difference-of-squares_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64`
2×	`*-inverses_binary64` `+-inverses_binary64` `associate--r-_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-exp-log_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `div0_binary64` `pow-sqr_binary64` `difference-of-sqr--1_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` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_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` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64`

Counts

141 → 73

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	203	2889
1	424	2760
2	1068	2741
3	3120	2713
4	4676	2713
5	5069	2713

prune60.0ms (2.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	2	74

Error

Counts

74 → 2

Compiler

Compiled 1104 to 737 computations (33.2% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
0.0b	(log.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
0.0b	(sqrt.f64 (-.f64 1 (*.f64 x x)))
0.2b	(+.f64 (log.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 (log.f64 x)))

rewrite99.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`*-un-lft-identity_binary64`
13×	`add-sqr-sqrt_binary64` `log-prod_binary64`
12×	`distribute-lft-out_binary64`
11×	`pow1_binary64`
8×	`add-cube-cbrt_binary64` `sqrt-prod_binary64`
7×	`add-log-exp_binary64`
6×	`log-pow_binary64`
5×	`add-exp-log_binary64` `associate-+l+_binary64`
4×	`add-cbrt-cube_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-rgt-neg-in_binary64` `log-div_binary64`
3×	`sum-log_binary64` `distribute-neg-in_binary64` `associate-+r+_binary64`
2×	`associate-+l-_binary64` `+-commutative_binary64` `sqrt-div_binary64` `difference-of-squares_binary64`
1×	`neg-log_binary64` `unsub-neg_binary64` `neg-sub0_binary64` `associate-+r-_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `flip3--_binary64` `flip--_binary64` `rem-sqrt-square_binary64` `rem-log-exp_binary64`

Counts

4 → 76

Calls

4 calls:

14.0ms	(+.f64 (log.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 (log.f64 x)))
6.0ms	(log.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
6.0ms	(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
3.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 1490 to 921 computations (38.2% saved)

series66.0ms (2.6%)

Error

Counts

4 → 24

Calls

4 calls:

14.0ms	(+.f64 (log.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 (log.f64 x)))
11.0ms	(log.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
9.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))
8.0ms	(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))

Compiler

Compiled 760 to 636 computations (16.3% saved)

simplify115.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

398×	`neg-mul-1_binary64`
388×	`sub-neg_binary64`
344×	`distribute-rgt-neg-in_binary64`
283×	`cancel-sign-sub-inv_binary64`
276×	`distribute-lft-neg-in_binary64`
256×	`associate-r_binary64`
242×	`associate-l_binary64`
241×	`unsub-neg_binary64`
202×	`distribute-rgt-out_binary64`
180×	`distribute-rgt-in_binary64`
139×	`distribute-rgt-neg-out_binary64`
136×	`times-frac_binary64` `distribute-lft-neg-out_binary64`
134×	`distribute-neg-in_binary64`
121×	`distribute-lft-in_binary64`
109×	`associate-+l+_binary64`
106×	`*-commutative_binary64`
105×	`cancel-sign-sub_binary64`
104×	`associate--r+_binary64`
101×	`neg-sub0_binary64`
93×	`+-commutative_binary64`
92×	`log-prod_binary64`
88×	`associate-+l-_binary64`
81×	`associate-+r+_binary64`
72×	`distribute-rgt-out--_binary64`
71×	`unswap-sqr_binary64`
69×	`cube-prod_binary64`
58×	`sub0-neg_binary64`
52×	`distribute-neg-out_binary64`
48×	`associate-+r-_binary64`
46×	`associate--l+_binary64`
45×	`sqr-pow_binary64`
32×	`exp-sum_binary64`
30×	`distribute-lft-out_binary64` `associate--l-_binary64`
29×	`+-rgt-identity_binary64` `associate--r-_binary64`
26×	`exp-prod_binary64`
25×	`prod-exp_binary64`
24×	`exp-diff_binary64`
23×	`distribute-rgt1-in_binary64`
21×	`div-sub_binary64`
20×	`log-div_binary64`
19×	`*-rgt-identity_binary64`
17×	`unpow3_binary64` `cube-unmult_binary64` `--rgt-identity_binary64`
13×	`mul0-rgt_binary64` `mul0-lft_binary64`
12×	`log-pow_binary64` `*-lft-identity_binary64`
11×	`cube-div_binary64`
10×	`pow-plus_binary64` `sqr-neg_binary64`
9×	`remove-double-neg_binary64` `swap-sqr_binary64`
8×	`exp-to-pow_binary64` `cube-neg_binary64` `rem-sqrt-square_binary64`
7×	`cube-mult_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `distribute-lft1-in_binary64` `associate-/r*_binary64`
5×	`rem-exp-log_binary64` `pow-sqr_binary64`
4×	`count-2_binary64`
3×	`unpow1/2_binary64` `exp-neg_binary64` `mul-1-neg_binary64` `distribute-neg-frac_binary64` `associate-/l*_binary64`
2×	`log-rec_binary64` `difference-of-sqr--1_binary64` `associate-l/_binary64` `associate-r/_binary64`
1×	`log-E_binary64` `unpow2_binary64` `unpow1_binary64` `div-exp_binary64` `rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `+-lft-identity_binary64` `distribute-frac-neg_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `distribute-lft-out--_binary64` `associate-/l/_binary64` `associate-/r/_binary64`

Counts

100 → 62

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	165	1852
1	400	1739
2	1012	1718
3	2823	1718
4	4338	1718
5	4976	1718

prune53.0ms (2.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	62	2	64

Error

Counts

64 → 2

Compiler

Compiled 1014 to 636 computations (37.3% saved)

regimes340.0ms (13.5%)

Accuracy

Total 0.0b remaining (96.4%)

Threshold costs 0.0b (96.4%)

Compiler

Compiled 3840 to 3017 computations (21.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`neg-mul-1_binary64` `neg-sub0_binary64` `*-commutative_binary64`
1×	`1-exp_binary64` `cancel-sign-sub-inv_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-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` `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` `+-rgt-identity_binary64` `+-lft-identity_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-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	20	27
2	26	27
3	30	27
4	32	27
5	31	27

end1.0ms (0%)

Compiler: Compiled 17 to 12 computations (29.4% saved)

sample708.0ms (28%)

Algorithm

1×

intervals

Results

428.0ms	8000×	body	128	valid
0.0ms	6×	body	128	nan

Compiler

Compiled 60 to 51 computations (15% saved)

Details

analyze302.0ms (12%)

sample25.0ms (1%)

simplify296.0ms (11.7%)

prune1.0ms (0.1%)

localize9.0ms (0.4%)

rewrite217.0ms (8.6%)

series67.0ms (2.7%)

simplify151.0ms (6%)

prune60.0ms (2.4%)

localize11.0ms (0.4%)

rewrite99.0ms (3.9%)

series66.0ms (2.6%)

simplify115.0ms (4.5%)

prune53.0ms (2.1%)

regimes340.0ms (13.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample708.0ms (28%)

Profiling