Details

analyze54.0ms (3.3%)

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)

simplify37.0ms (2.3%)

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)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite56.0ms (3.4%)

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:

8.0ms

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

Compiler

Compiled 638 to 483 computations (24.3% saved)

series20.0ms (1.2%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

12.0ms

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

Compiler

Compiled 215 to 198 computations (7.9% saved)

simplify89.0ms (5.5%)

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

prune39.0ms (2.4%)

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 572 to 426 computations (25.5% saved)

localize10.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (*.f64 x x) (-.f64 1 x))
0.1b	(.f64 (-.f64 1 x) (+.f64 (.f64 x x) (-.f64 1 x)))
21.2b	(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 1 3)) (.f64 (-.f64 1 x) (+.f64 (.f64 x x) (-.f64 1 x))))

rewrite153.0ms (9.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

33×	`*-un-lft-identity_binary64`
13×	`add-sqr-sqrt_binary64`
12×	`distribute-lft-out_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `times-frac_binary64` `associate-/l*_binary64`
8×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `unpow-prod-down_binary64` `cube-prod_binary64` `flip3-+_binary64` `flip-+_binary64` `frac-times_binary64` `associate-/r/_binary64`
6×	`flip3--_binary64` `flip--_binary64` `associate-l_binary64`
5×	`pow1_binary64`
4×	`associate-l/_binary64` `associate-r/_binary64` `associate-+r+_binary64`
3×	`associate-r_binary64` `cancel-sign-sub-inv_binary64`
2×	`prod-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `cbrt-unprod_binary64` `sum-cubes_binary64` `cube-mult_binary64` `associate-/l/_binary64` `difference-of-squares_binary64` `sum-log_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/r_binary64` `pow-prod-down_binary64` `unswap-sqr_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `distribute-lft-out--_binary64` `-commutative_binary64` `diff-log_binary64` `associate-+r-_binary64` `sub-neg_binary64` `+-commutative_binary64`

Counts

3 → 93

Calls

3 calls:

24.0ms	(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 1 3)) (.f64 (-.f64 1 x) (+.f64 (.f64 x x) (-.f64 1 x))))
13.0ms	(.f64 (-.f64 1 x) (+.f64 (.f64 x x) (-.f64 1 x)))
9.0ms	(+.f64 (*.f64 x x) (-.f64 1 x))

Compiler

Compiled 2598 to 1756 computations (32.4% saved)

series64.0ms (3.9%)

Error

Counts

3 → 33

Calls

3 calls:

16.0ms	(.f64 (-.f64 1 x) (+.f64 (.f64 x x) (-.f64 1 x)))
16.0ms	(+.f64 (*.f64 x x) (-.f64 1 x))
14.0ms	(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 1 3)) (.f64 (-.f64 1 x) (+.f64 (.f64 x x) (-.f64 1 x))))

Compiler

Compiled 827 to 720 computations (12.9% saved)

simplify120.0ms (7.4%)

Algorithm

1×	egg-herbie

Rules

933×	`times-frac_binary64`
365×	`associate-/l*_binary64`
333×	`associate-/r*_binary64`
230×	`div-sub_binary64`
172×	`distribute-rgt-in_binary64`
156×	`distribute-lft-in_binary64`
152×	`associate-l_binary64`
128×	`associate-r_binary64`
98×	`associate-/l/_binary64`
89×	`associate-*l/_binary64`
87×	`*-commutative_binary64`
77×	`exp-prod_binary64` `cancel-sign-sub-inv_binary64`
74×	`sub-neg_binary64`
70×	`associate-*r/_binary64`
61×	`distribute-rgt-out_binary64`
57×	`distribute-neg-in_binary64`
55×	`associate--r+_binary64` `+-commutative_binary64`
53×	`associate-/r/_binary64`
49×	`distribute-lft-neg-out_binary64`
48×	`distribute-rgt-neg-out_binary64`
42×	`unswap-sqr_binary64`
40×	`distribute-rgt-neg-in_binary64`
30×	`neg-sub0_binary64`
29×	`neg-mul-1_binary64`
28×	`cube-prod_binary64` `associate--l+_binary64`
27×	`sqr-pow_binary64`
25×	`exp-sum_binary64` `unsub-neg_binary64` `*-lft-identity_binary64` `distribute-lft-neg-in_binary64`
24×	`distribute-rgt-out--_binary64`
23×	`log-prod_binary64` `*-rgt-identity_binary64` `associate-+r+_binary64`
19×	`associate-+l+_binary64`
18×	`log-div_binary64`
13×	`cube-div_binary64`
12×	`distribute-rgt1-in_binary64` `distribute-lft-out_binary64`
10×	`exp-diff_binary64`
9×	`pow-plus_binary64` `/-rgt-identity_binary64`
8×	`cube-unmult_binary64` `swap-sqr_binary64` `distribute-neg-frac_binary64`
7×	`unpow3_binary64`
5×	`div-exp_binary64` `difference-of-squares_binary64` `associate-+r-_binary64`
4×	`log-rec_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64`
3×	`unpow1/2_binary64` `cube-mult_binary64` `pow-sqr_binary64` `difference-of-sqr-1_binary64` `associate--r-_binary64` `associate-+l-_binary64`
2×	`unpow2_binary64` `prod-exp_binary64` `exp-neg_binary64`
1×	`unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `difference-of-sqr--1_binary64` `distribute-neg-out_binary64` `distribute-lft1-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` `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` `rec-exp_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` `sub0-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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `count-2_binary64`

Counts

126 → 96

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	168	2844
1	490	2530
2	1878	2523
3	4474	2498
4	5081	2498

prune73.0ms (4.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	96	3	99

Error

Counts

99 → 3

Compiler

Compiled 1679 to 1148 computations (31.6% saved)

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (+.f64 (*.f64 x x) (pow.f64 x 3)))
8.8b	(+.f64 (*.f64 x x) (pow.f64 x 3))

rewrite41.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-log-exp_binary64`
4×	`sum-log_binary64` `*-un-lft-identity_binary64`
2×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `flip3-+_binary64` `flip-+_binary64` `cube-mult_binary64` `distribute-lft-out_binary64` `+-commutative_binary64`
1×	`distribute-rgt1-in_binary64` `unpow3_binary64` `distribute-rgt-out_binary64` `associate-+r+_binary64`

Counts

2 → 28

Calls

2 calls:

8.0ms	(+.f64 x (+.f64 (*.f64 x x) (pow.f64 x 3)))
6.0ms	(+.f64 (*.f64 x x) (pow.f64 x 3))

Compiler

Compiled 564 to 339 computations (39.9% saved)

series28.0ms (1.7%)

Error

Counts

2 → 11

Calls

2 calls:

14.0ms	(+.f64 (*.f64 x x) (pow.f64 x 3))
8.0ms	(+.f64 x (+.f64 (*.f64 x x) (pow.f64 x 3)))

Compiler

Compiled 224 to 194 computations (13.4% saved)

simplify267.0ms (16.5%)

Algorithm

1×	egg-herbie

Rules

591×	`sub-neg_binary64`
427×	`unswap-sqr_binary64`
291×	`associate-l_binary64`
255×	`associate-r_binary64`
244×	`+-commutative_binary64`
211×	`distribute-rgt-in_binary64`
182×	`distribute-lft-in_binary64`
181×	`distribute-rgt-out--_binary64`
139×	`distribute-rgt-neg-in_binary64`
127×	`difference-of-squares_binary64`
125×	`distribute-lft-neg-in_binary64`
109×	`associate--l+_binary64`
106×	`neg-mul-1_binary64`
102×	`neg-sub0_binary64`
99×	`distribute-lft-out--_binary64`
98×	`associate-+l-_binary64`
95×	`cancel-sign-sub-inv_binary64` `distribute-rgt-out_binary64`
85×	`unsub-neg_binary64`
82×	`associate--r+_binary64`
75×	`*-commutative_binary64`
73×	`associate-+r-_binary64`
66×	`associate-+l+_binary64`
64×	`exp-prod_binary64` `distribute-rgt1-in_binary64`
51×	`cube-prod_binary64`
50×	`sqr-pow_binary64` `associate-+r+_binary64`
40×	`distribute-neg-in_binary64`
39×	`log-prod_binary64` `distribute-lft1-in_binary64`
37×	`distribute-lft-neg-out_binary64`
36×	`distribute-lft-out_binary64`
31×	`pow-plus_binary64`
28×	`exp-sum_binary64`
26×	`swap-sqr_binary64`
24×	`distribute-rgt-neg-out_binary64`
21×	`unpow3_binary64`
15×	`cube-unmult_binary64`
14×	`+-rgt-identity_binary64`
13×	`cube-mult_binary64`
9×	`sub0-neg_binary64` `pow-sqr_binary64`
8×	`associate--l-_binary64`
6×	`associate-/l*_binary64`
5×	`log-pow_binary64` `prod-exp_binary64` `associate--r-_binary64`
4×	`exp-diff_binary64`
3×	`cancel-sign-sub_binary64`
2×	`unpow2_binary64` `difference-of-sqr--1_binary64` `distribute-neg-out_binary64` `associate-/l/_binary64` `associate-*r/_binary64`
1×	`unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-sqrt-square_binary64` `times-frac_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `associate-/r/_binary64` `associate-/r*_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-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-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_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` `div-sub_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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `count-2_binary64` `associate-l/_binary64`

Counts

39 → 15

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	52	552
1	154	516
2	516	507
3	2134	504
4	4202	501
5	5036	501

prune9.0ms (0.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	15	0	15
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	15	3	18

Error

Counts

18 → 3

Compiler

Compiled 196 to 132 computations (32.7% saved)

regimes82.0ms (5.1%)

Accuracy

Total 0.0b remaining (78.1%)

Threshold costs 0.0b (78.1%)

Compiler

Compiled 942 to 794 computations (15.7% 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	6	10
1	11	10
2	15	10
3	17	10
4	18	10
5	17	10

end1.0ms (0%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

sample450.0ms (27.8%)

Algorithm

1×

intervals

Results

175.0ms

8000×

body

128

valid

Compiler

Compiled 57 to 51 computations (10.5% 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

analyze54.0ms (3.3%)

sample12.0ms (0.8%)

simplify37.0ms (2.3%)

prune1.0ms (0.1%)

localize4.0ms (0.3%)

rewrite56.0ms (3.4%)

series20.0ms (1.2%)

simplify89.0ms (5.5%)

prune39.0ms (2.4%)

localize10.0ms (0.6%)

rewrite153.0ms (9.4%)

series64.0ms (3.9%)

simplify120.0ms (7.4%)

prune73.0ms (4.5%)

localize7.0ms (0.5%)

rewrite41.0ms (2.6%)

series28.0ms (1.7%)

simplify267.0ms (16.5%)

prune9.0ms (0.5%)

regimes82.0ms (5.1%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end1.0ms (0%)

sample450.0ms (27.8%)

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