Details

analyze56.0ms (3.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

242×	`div-sub_binary64`
160×	`times-frac_binary64`
138×	`associate-/l/_binary64`
114×	`distribute-rgt-in_binary64`
112×	`associate-/r/_binary64`
94×	`distribute-lft-in_binary64`
93×	`associate-/l*_binary64`
91×	`sub-neg_binary64` `associate-/r*_binary64`
44×	`cancel-sign-sub-inv_binary64` `distribute-neg-frac_binary64`
41×	`unsub-neg_binary64`
26×	`associate-r_binary64`
24×	`distribute-rgt-neg-in_binary64`
22×	`associate-*l/_binary64`
20×	`associate--l-_binary64`
19×	`neg-sub0_binary64` `distribute-neg-in_binary64`
18×	`distribute-lft-neg-in_binary64`
17×	`associate-+l-_binary64` `+-commutative_binary64`
16×	`neg-mul-1_binary64` `distribute-rgt-neg-out_binary64` `associate-*r/_binary64` `associate--l+_binary64`
12×	`mul0-rgt_binary64`
11×	`distribute-frac-neg_binary64` `associate-l_binary64`
10×	`mul0-lft_binary64` `div0_binary64` `associate--r-_binary64`
9×	`associate--r+_binary64` `*-commutative_binary64`
8×	`mul-1-neg_binary64` `distribute-lft-neg-out_binary64`
7×	`sub0-neg_binary64` `associate-+r+_binary64`
6×	`*-rgt-identity_binary64` `distribute-rgt-out--_binary64` `associate-+r-_binary64` `associate-+l+_binary64`
5×	`*-lft-identity_binary64`
4×	`--rgt-identity_binary64` `+-rgt-identity_binary64`
3×	`/-rgt-identity_binary64`
2×	`remove-double-neg_binary64` `remove-double-div_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out_binary64`
1×	`1-exp_binary64` `*-inverses_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` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `+-lft-identity_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_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_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	11	10
2	15	10
3	20	10
4	26	10
5	34	10
6	43	10
7	56	10
8	75	10
9	94	10
10	115	10
11	133	10
12	182	10
13	243	10
14	302	10
15	376	10
16	492	10
17	509	10
18	556	10
19	540	10
20	461	10
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
87.5%	12.5%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample12.0ms (0.8%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify38.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

242×	`div-sub_binary64`
160×	`times-frac_binary64`
138×	`associate-/l/_binary64`
114×	`distribute-rgt-in_binary64`
112×	`associate-/r/_binary64`
94×	`distribute-lft-in_binary64`
93×	`associate-/l*_binary64`
91×	`sub-neg_binary64` `associate-/r*_binary64`
44×	`cancel-sign-sub-inv_binary64` `distribute-neg-frac_binary64`
41×	`unsub-neg_binary64`
26×	`associate-r_binary64`
24×	`distribute-rgt-neg-in_binary64`
22×	`associate-*l/_binary64`
20×	`associate--l-_binary64`
19×	`neg-sub0_binary64` `distribute-neg-in_binary64`
18×	`distribute-lft-neg-in_binary64`
17×	`associate-+l-_binary64` `+-commutative_binary64`
16×	`neg-mul-1_binary64` `distribute-rgt-neg-out_binary64` `associate-*r/_binary64` `associate--l+_binary64`
12×	`mul0-rgt_binary64`
11×	`distribute-frac-neg_binary64` `associate-l_binary64`
10×	`mul0-lft_binary64` `div0_binary64` `associate--r-_binary64`
9×	`associate--r+_binary64` `*-commutative_binary64`
8×	`mul-1-neg_binary64` `distribute-lft-neg-out_binary64`
7×	`sub0-neg_binary64` `associate-+r+_binary64`
6×	`*-rgt-identity_binary64` `distribute-rgt-out--_binary64` `associate-+r-_binary64` `associate-+l+_binary64`
5×	`*-lft-identity_binary64`
4×	`--rgt-identity_binary64` `+-rgt-identity_binary64`
3×	`/-rgt-identity_binary64`
2×	`remove-double-neg_binary64` `remove-double-div_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out_binary64`
1×	`1-exp_binary64` `*-inverses_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` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `+-lft-identity_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_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_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	11	10
2	15	10
3	20	10
4	26	10
5	34	10
6	43	10
7	56	10
8	75	10
9	94	10
10	115	10
11	133	10
12	182	10
13	243	10
14	302	10
15	376	10
16	492	10
17	509	10
18	556	10
19	540	10
20	461	10

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 7 to 6 computations (14.3% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite60.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

42×	`*-un-lft-identity_binary64`
28×	`add-sqr-sqrt_binary64`
24×	`times-frac_binary64`
13×	`add-cube-cbrt_binary64`
10×	`difference-of-squares_binary64`
7×	`distribute-lft-out_binary64`
6×	`associate-/r*_binary64`
5×	`distribute-lft-out--_binary64`
4×	`associate-/l*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64`
1×	`pow1_binary64` `div-exp_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `flip3-+_binary64` `flip-+_binary64` `flip3--_binary64` `flip--_binary64`

Counts

1 → 50

Calls

1 calls:

7.0ms

(/.f64 (+.f64 x 1) (-.f64 1 x))

Compiler

Compiled 638 to 483 computations (24.3% saved)

series20.0ms (1.3%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

13.0ms

(/.f64 (+.f64 x 1) (-.f64 1 x))

Compiler

Compiled 215 to 198 computations (7.9% saved)

simplify85.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

615×	`times-frac_binary64`
592×	`div-sub_binary64`
381×	`associate-/l*_binary64`
337×	`distribute-rgt-in_binary64`
246×	`distribute-lft-in_binary64`
222×	`associate-/r*_binary64`
185×	`associate-/l/_binary64`
170×	`cancel-sign-sub-inv_binary64`
130×	`distribute-rgt-out_binary64`
118×	`associate-*l/_binary64`
100×	`associate-/r/_binary64`
98×	`sub-neg_binary64`
93×	`associate-*r/_binary64`
77×	`associate--r+_binary64`
67×	`associate-l_binary64`
62×	`associate-r_binary64` `associate-+l+_binary64`
58×	`unsub-neg_binary64` `associate-+r+_binary64`
57×	`distribute-neg-in_binary64`
55×	`distribute-rgt-neg-in_binary64` `*-commutative_binary64`
53×	`+-commutative_binary64`
47×	`distribute-lft-neg-in_binary64`
44×	`distribute-rgt-neg-out_binary64`
40×	`distribute-neg-frac_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-out_binary64`
37×	`neg-sub0_binary64`
33×	`neg-mul-1_binary64`
32×	`associate--l+_binary64`
30×	`cube-prod_binary64`
25×	`distribute-rgt-out--_binary64`
23×	`cube-div_binary64` `associate--r-_binary64`
22×	`distribute-rgt1-in_binary64` `associate--l-_binary64`
21×	`associate-+l-_binary64`
18×	`/-rgt-identity_binary64` `unswap-sqr_binary64`
17×	`*-rgt-identity_binary64` `associate-+r-_binary64`
16×	`sqr-pow_binary64`
14×	`log-div_binary64` `log-prod_binary64`
12×	`*-lft-identity_binary64` `sub0-neg_binary64` `distribute-lft1-in_binary64`
11×	`distribute-lft-out--_binary64`
9×	`distribute-frac-neg_binary64` `distribute-neg-out_binary64`
8×	`unpow3_binary64` `cube-unmult_binary64`
7×	`+-rgt-identity_binary64`
6×	`log-rec_binary64` `swap-sqr_binary64`
5×	`remove-double-div_binary64`
4×	`exp-prod_binary64` `exp-sum_binary64` `difference-of-squares_binary64`
3×	`pow-plus_binary64` `sqr-neg_binary64` `difference-of-sqr-1_binary64`
2×	`cube-mult_binary64` `cube-neg_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
1×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `pow-sqr_binary64` `difference-of-sqr--1_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` `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` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `+-lft-identity_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `cancel-sign-sub_binary64`

Counts

62 → 56

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	103	1102
1	239	1038
2	605	1035
3	1508	1035
4	3955	1035
5	4954	1035

prune34.0ms (2.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	3	57

Error

Counts

57 → 3

Compiler

Compiled 554 to 414 computations (25.3% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite184.0ms (11.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

214×	`*-un-lft-identity_binary64`
210×	`times-frac_binary64`
152×	`add-sqr-sqrt_binary64`
89×	`add-cube-cbrt_binary64`
42×	`difference-of-squares_binary64`
34×	`associate-/r*_binary64`
31×	`distribute-lft-out_binary64`
21×	`distribute-lft-out--_binary64`
15×	`add-exp-log_binary64`
11×	`associate-/r/_binary64`
9×	`add-cbrt-cube_binary64` `associate-/l*_binary64`
8×	`div-exp_binary64`
6×	`div-inv_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`cbrt-undiv_binary64`
3×	`pow1_binary64`
2×	`add-log-exp_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/l/_binary64` `1-exp_binary64` `rec-exp_binary64`
1×	`div-sub_binary64` `flip3--_binary64` `flip--_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

2 → 195

Calls

2 calls:

12.0ms	(/.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x)))
8.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))

Compiler

Compiled 3095 to 2487 computations (19.6% saved)

series37.0ms (2.4%)

Error

Counts

2 → 24

Calls

2 calls:

12.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))
11.0ms	(/.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x)))

Compiler

Compiled 461 to 426 computations (7.6% saved)

simplify213.0ms (13.7%)

Algorithm

1×	egg-herbie

Rules

695×	`div-sub_binary64`
471×	`cancel-sign-sub-inv_binary64`
334×	`associate-/r/_binary64`
300×	`times-frac_binary64`
293×	`associate-/l/_binary64`
266×	`associate-*l/_binary64`
243×	`distribute-rgt-in_binary64`
237×	`associate-/l*_binary64`
235×	`associate-/r*_binary64`
216×	`associate-l_binary64`
207×	`sub-neg_binary64`
200×	`associate-r_binary64`
189×	`distribute-lft-in_binary64`
181×	`associate-*r/_binary64`
99×	`associate-+r+_binary64`
85×	`associate-+l+_binary64`
79×	`unsub-neg_binary64`
73×	`*-commutative_binary64`
70×	`neg-sub0_binary64` `*-rgt-identity_binary64`
67×	`neg-mul-1_binary64`
62×	`exp-prod_binary64`
51×	`+-commutative_binary64`
48×	`associate--r+_binary64`
46×	`distribute-rgt-neg-in_binary64`
42×	`distribute-neg-in_binary64`
41×	`associate-+l-_binary64`
38×	`*-lft-identity_binary64`
35×	`distribute-lft-neg-in_binary64`
33×	`/-rgt-identity_binary64`
32×	`cube-prod_binary64`
31×	`exp-sum_binary64` `sqr-pow_binary64` `unswap-sqr_binary64` `distribute-rgt-out_binary64` `associate-+r-_binary64`
30×	`distribute-neg-frac_binary64`
28×	`associate--l+_binary64`
20×	`sub0-neg_binary64`
17×	`exp-diff_binary64` `cube-div_binary64` `+-rgt-identity_binary64`
16×	`distribute-rgt-out--_binary64`
14×	`log-prod_binary64`
13×	`log-div_binary64` `swap-sqr_binary64`
12×	`distribute-rgt1-in_binary64`
10×	`distribute-lft-neg-out_binary64`
9×	`unpow3_binary64` `remove-double-div_binary64`
8×	`cube-unmult_binary64`
7×	`distribute-lft-out_binary64` `associate--r-_binary64`
6×	`+-lft-identity_binary64` `distribute-rgt-neg-out_binary64`
5×	`cube-mult_binary64`
4×	`log-rec_binary64` `--rgt-identity_binary64` `associate--l-_binary64`
3×	`unpow1/2_binary64` `pow-plus_binary64` `cube-neg_binary64` `sqr-neg_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
2×	`mul-1-neg_binary64` `pow-sqr_binary64` `difference-of-sqr-1_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64` `div0_binary64` `difference-of-sqr--1_binary64` `distribute-neg-out_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` `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-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64`

Counts

219 → 168

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	4758
1	494	4459
2	1521	4396
3	3878	4396
4	4873	4396
5	5885	4396

prune70.0ms (4.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	168	3	171

Error

Counts

171 → 3

Compiler

Compiled 1368 to 1043 computations (23.8% saved)

localize4.0ms (0.2%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify8.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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 +-commutative_binary64

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune1.0ms (0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Error

Counts

3 → 3

Compiler

Compiled 0 to 0 computations (0% saved)

regimes83.0ms (5.3%)

Accuracy

Total 0.0b remaining (80.9%)

Threshold costs 0.0b (80.9%)

Compiler

Compiled 795 to 691 computations (13.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`1-exp_binary64` `neg-mul-1_binary64` `neg-sub0_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-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-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	7	13
1	12	13
2	16	13
3	18	13
4	19	13
5	18	13

end1.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

sample643.0ms (41.2%)

Algorithm

1×

intervals

Results

379.0ms

8000×

body

128

valid

Compiler

Compiled 41 to 41 computations (0% saved)

Iter	Nodes	Cost
0	6	10
1	11	10
2	15	10
3	20	10
4	26	10
5	34	10
6	43	10
7	56	10
8	75	10
9	94	10
10	115	10
11	133	10
12	182	10
13	243	10
14	302	10
15	376	10
16	492	10
17	509	10
18	556	10
19	540	10
20	461	10
0	1	1
1	1	1

Iter	Nodes	Cost
0	6	10
1	11	10
2	15	10
3	20	10
4	26	10
5	34	10
6	43	10
7	56	10
8	75	10
9	94	10
10	115	10
11	133	10
12	182	10
13	243	10
14	302	10
15	376	10
16	492	10
17	509	10
18	556	10
19	540	10
20	461	10

Iter	Nodes	Cost
0	6	10
1	11	10
2	15	10
3	20	10
4	26	10
5	34	10
6	43	10
7	56	10
8	75	10
9	94	10
10	115	10
11	133	10
12	182	10
13	243	10
14	302	10
15	376	10
16	492	10
17	509	10
18	556	10
19	540	10
20	461	10
0	1	1
1	1	1

Iter	Nodes	Cost
0	6	10
1	11	10
2	15	10
3	20	10
4	26	10
5	34	10
6	43	10
7	56	10
8	75	10
9	94	10
10	115	10
11	133	10
12	182	10
13	243	10
14	302	10
15	376	10
16	492	10
17	509	10
18	556	10
19	540	10
20	461	10

Details

analyze56.0ms (3.6%)

sample12.0ms (0.8%)

simplify38.0ms (2.4%)

prune1.0ms (0.1%)

localize5.0ms (0.3%)

rewrite60.0ms (3.8%)

series20.0ms (1.3%)

simplify85.0ms (5.4%)

prune34.0ms (2.2%)

localize6.0ms (0.4%)

rewrite184.0ms (11.8%)

series37.0ms (2.4%)

simplify213.0ms (13.7%)

prune70.0ms (4.4%)

localize4.0ms (0.2%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify8.0ms (0.5%)

prune1.0ms (0%)

regimes83.0ms (5.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end1.0ms (0%)

sample643.0ms (41.2%)

Profiling

Iter	Nodes	Cost
0	6	10
1	11	10
2	15	10
3	20	10
4	26	10
5	34	10
6	43	10
7	56	10
8	75	10
9	94	10
10	115	10
11	133	10
12	182	10
13	243	10
14	302	10
15	376	10
16	492	10
17	509	10
18	556	10
19	540	10
20	461	10
0	1	1
1	1	1

Iter	Nodes	Cost
0	6	10
1	11	10
2	15	10
3	20	10
4	26	10
5	34	10
6	43	10
7	56	10
8	75	10
9	94	10
10	115	10
11	133	10
12	182	10
13	243	10
14	302	10
15	376	10
16	492	10
17	509	10
18	556	10
19	540	10
20	461	10