Details

analyze1.2s (10.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

592×	`associate-l_binary64`
585×	`associate-r_binary64`
405×	`neg-sub0_binary64`
385×	`neg-mul-1_binary64`
321×	`sub-neg_binary64`
304×	`unsub-neg_binary64`
233×	`distribute-rgt-in_binary64`
230×	`distribute-lft-in_binary64`
219×	`*-commutative_binary64`
190×	`distribute-rgt-neg-out_binary64`
176×	`distribute-lft-neg-out_binary64`
160×	`cancel-sign-sub-inv_binary64`
114×	`unswap-sqr_binary64`
90×	`distribute-rgt-neg-in_binary64`
82×	`distribute-lft-neg-in_binary64`
78×	`+-commutative_binary64`
74×	`difference-of-squares_binary64`
54×	`associate-/l*_binary64`
50×	`associate-+r+_binary64`
48×	`+-lft-identity_binary64`
39×	`sqr-pow_binary64` `associate-/r*_binary64`
37×	`associate--r+_binary64`
36×	`associate-/r/_binary64`
21×	`pow-plus_binary64`
20×	`+-rgt-identity_binary64`
19×	`distribute-neg-in_binary64`
18×	`associate-+l+_binary64`
16×	`associate-+r-_binary64`
15×	`rem-sqrt-square_binary64`
14×	`div-sub_binary64`
13×	`remove-double-neg_binary64` `associate-+l-_binary64`
12×	`cube-unmult_binary64` `associate-/l/_binary64` `associate-*l/_binary64`
8×	`sub0-neg_binary64`
6×	`unpow3_binary64` `unpow2_binary64` `mul-1-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
4×	`sqr-neg_binary64` `associate--r-_binary64`
3×	`unpow1/2_binary64` `unpow1_binary64` `pow-sqr_binary64` `associate-*r/_binary64`
2×	`cube-prod_binary64` `cube-neg_binary64` `*-lft-identity_binary64` `cancel-sign-sub_binary64` `associate--l+_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_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` `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-mult_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `--rgt-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `swap-sqr_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_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` `count-2_binary64` `associate--l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	148
1	92	148
2	236	148
3	671	148
4	2494	148
5	3779	148
6	4724	148
7	4956	148
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
40.6%	59.3%	0.1%	9
40.6%	59.3%	0.1%	10
46%	53.8%	0.1%	11
52.7%	47.2%	0.1%	12
52.7%	44.6%	2.8%	13
55.9%	40.6%	3.5%	14

Compiler

Compiled 24 to 22 computations (8.3% saved)

sample129.0ms (1.1%)

Algorithm

1×

intervals

Results

30.0ms	60×	body	1024	valid
19.0ms	5×	body	4096	valid
18.0ms	157×	body	128	valid
15.0ms	30×	body	1024	invalid
9.0ms	26×	body	512	invalid
7.0ms	38×	body	128	invalid
5.0ms	16×	body	512	valid
4.0ms	15×	body	256	valid
2.0ms	3×	body	2048	valid
2.0ms	9×	body	256	invalid

Compiler

Compiled 47 to 46 computations (2.1% saved)

simplify56.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

416×	`sub-neg_binary64`
404×	`neg-mul-1_binary64`
392×	`neg-sub0_binary64`
387×	`unsub-neg_binary64`
358×	`*-commutative_binary64`
324×	`distribute-rgt-in_binary64`
306×	`distribute-lft-in_binary64`
279×	`associate-+r+_binary64`
272×	`difference-of-squares_binary64`
185×	`distribute-lft-neg-out_binary64`
182×	`distribute-rgt-neg-out_binary64`
181×	`+-lft-identity_binary64`
165×	`associate-l_binary64`
161×	`associate-r_binary64`
109×	`distribute-rgt-neg-in_binary64`
107×	`associate-+l+_binary64`
98×	`distribute-lft-neg-in_binary64`
86×	`unswap-sqr_binary64`
63×	`+-commutative_binary64`
58×	`cancel-sign-sub-inv_binary64`
42×	`sqr-pow_binary64`
32×	`associate-+l-_binary64`
29×	`sub0-neg_binary64` `+-rgt-identity_binary64`
22×	`associate-+r-_binary64`
19×	`mul0-rgt_binary64` `mul0-lft_binary64`
16×	`pow-plus_binary64`
12×	`associate--r+_binary64`
10×	`rem-sqrt-square_binary64` `distribute-neg-in_binary64`
8×	`cube-unmult_binary64` `--rgt-identity_binary64`
6×	`unpow2_binary64` `remove-double-neg_binary64` `pow-sqr_binary64`
4×	`unpow3_binary64` `unpow1_binary64` `cube-prod_binary64` `distribute-rgt-out_binary64`
3×	`associate--l+_binary64`
2×	`unpow1/2_binary64` `cube-neg_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `associate-/l*_binary64`
1×	`1-exp_binary64` `distribute-rgt-out--_binary64` `associate-/r/_binary64` `associate-l/_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-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_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` `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-mult_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r_binary64` `associate--l-_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	37
1	37	37
2	83	37
3	216	37
4	757	37
5	1786	37
6	3567	37
7	4638	37
8	4912	37

prune7.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

34.3b

Counts

2 → 1

Compiler

Compiled 46 to 40 computations (13% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
10.9b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
26.7b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
26.8b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite203.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

34.1b

Rules

23×	`add-sqr-sqrt_binary64`
16×	`difference-of-squares_binary64`
13×	`unpow-prod-down_binary64`
11×	`*-un-lft-identity_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `unpow2_binary64` `sqr-pow_binary64`
8×	`cancel-sign-sub-inv_binary64`
7×	`add-cube-cbrt_binary64`
6×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-r_binary64`
2×	`flip3--_binary64` `associate-r/_binary64` `associate-l/_binary64` `flip--_binary64` `distribute-lft-out--_binary64`
1×	`associate-l_binary64` `*-commutative_binary64` `diff-log_binary64` `sub-neg_binary64`

Counts

4 → 71

Calls

4 calls:

13.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
8.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
2.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
1.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2230 to 1676 computations (24.8% saved)

series199.0ms (1.7%)

Error

32.1b

Counts

4 → 42

Calls

4 calls:

102.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
31.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
14.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
13.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2472 to 2080 computations (15.9% saved)

simplify134.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

576×	`cancel-sign-sub-inv_binary64`
372×	`unswap-sqr_binary64`
278×	`associate-r_binary64`
249×	`distribute-rgt-in_binary64`
247×	`associate-l_binary64`
231×	`distribute-lft-in_binary64`
215×	`distribute-rgt-neg-in_binary64`
199×	`distribute-lft-neg-in_binary64`
160×	`*-commutative_binary64`
136×	`sub-neg_binary64`
116×	`exp-prod_binary64`
76×	`+-commutative_binary64`
67×	`sqr-pow_binary64`
58×	`exp-sum_binary64` `neg-mul-1_binary64`
56×	`cube-prod_binary64`
54×	`neg-sub0_binary64`
53×	`unpow3_binary64`
37×	`distribute-lft-neg-out_binary64`
35×	`associate--r+_binary64`
34×	`swap-sqr_binary64`
33×	`associate--l+_binary64`
32×	`distribute-neg-in_binary64`
28×	`log-prod_binary64`
27×	`unsub-neg_binary64` `associate-+l+_binary64`
26×	`cube-unmult_binary64` `distribute-rgt-out_binary64`
23×	`distribute-rgt-out--_binary64`
22×	`pow-plus_binary64` `associate-+r+_binary64`
18×	`distribute-rgt-neg-out_binary64`
13×	`difference-of-squares_binary64`
11×	`cube-mult_binary64`
9×	`unpow1/2_binary64` `pow-sqr_binary64`
8×	`unpow2_binary64` `unpow1_binary64` `distribute-lft-out--_binary64`
7×	`exp-diff_binary64`
6×	`-rgt-identity_binary64` `-lft-identity_binary64` `distribute-lft-out_binary64`
5×	`exp-lft-sqr_binary64` `rem-sqrt-square_binary64` `associate-+r-_binary64`
4×	`prod-exp_binary64`
3×	`rem-square-sqrt_binary64` `+-rgt-identity_binary64`
2×	`associate-/l*_binary64`
1×	`div-exp_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_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-pow_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-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate-*l/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

113 → 88

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	256	2780
1	608	2185
2	1996	2121
3	4693	2121
4	4988	2121
5	4943	2121

prune95.0ms (0.8%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	70	18	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	18	89

Error

32.9b

Counts

89 → 18

Compiler

Compiled 1984 to 1324 computations (33.3% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
10.9b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
26.7b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
26.8b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite387.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

32.9b

Rules

23×	`add-sqr-sqrt_binary64`
16×	`difference-of-squares_binary64`
13×	`unpow-prod-down_binary64`
11×	`*-un-lft-identity_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `unpow2_binary64` `sqr-pow_binary64`
8×	`cancel-sign-sub-inv_binary64`
7×	`add-cube-cbrt_binary64`
6×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-r_binary64`
2×	`flip3--_binary64` `associate-r/_binary64` `associate-l/_binary64` `flip--_binary64` `distribute-lft-out--_binary64`
1×	`associate-l_binary64` `*-commutative_binary64` `diff-log_binary64` `sub-neg_binary64`

Counts

4 → 71

Calls

4 calls:

13.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
8.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
2.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
1.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2434 to 1880 computations (22.8% saved)

series215.0ms (1.9%)

Error

32.0b

Counts

4 → 42

Calls

4 calls:

105.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
33.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
15.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
14.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2715 to 2323 computations (14.4% saved)

simplify135.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

576×	`cancel-sign-sub-inv_binary64`
372×	`unswap-sqr_binary64`
278×	`associate-r_binary64`
249×	`distribute-rgt-in_binary64`
247×	`associate-l_binary64`
231×	`distribute-lft-in_binary64`
215×	`distribute-rgt-neg-in_binary64`
199×	`distribute-lft-neg-in_binary64`
160×	`*-commutative_binary64`
136×	`sub-neg_binary64`
116×	`exp-prod_binary64`
76×	`+-commutative_binary64`
67×	`sqr-pow_binary64`
58×	`exp-sum_binary64` `neg-mul-1_binary64`
56×	`cube-prod_binary64`
54×	`neg-sub0_binary64`
53×	`unpow3_binary64`
37×	`distribute-lft-neg-out_binary64`
35×	`associate--r+_binary64`
34×	`swap-sqr_binary64`
33×	`associate--l+_binary64`
32×	`distribute-neg-in_binary64`
28×	`log-prod_binary64`
27×	`unsub-neg_binary64` `associate-+l+_binary64`
26×	`cube-unmult_binary64` `distribute-rgt-out_binary64`
23×	`distribute-rgt-out--_binary64`
22×	`pow-plus_binary64` `associate-+r+_binary64`
18×	`distribute-rgt-neg-out_binary64`
13×	`difference-of-squares_binary64`
11×	`cube-mult_binary64`
9×	`unpow1/2_binary64` `pow-sqr_binary64`
8×	`unpow2_binary64` `unpow1_binary64` `distribute-lft-out--_binary64`
7×	`exp-diff_binary64`
6×	`-rgt-identity_binary64` `-lft-identity_binary64` `distribute-lft-out_binary64`
5×	`exp-lft-sqr_binary64` `rem-sqrt-square_binary64` `associate-+r-_binary64`
4×	`prod-exp_binary64`
3×	`rem-square-sqrt_binary64` `+-rgt-identity_binary64`
2×	`associate-/l*_binary64`
1×	`div-exp_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_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-pow_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-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate-*l/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

113 → 88

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	256	2780
1	608	2185
2	1996	2121
3	4693	2121
4	4988	2121
5	4943	2121

prune113.0ms (1%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	78	10	88
Fresh	2	15	17
Picked	1	0	1
Done	0	0	0
Total	81	25	106

Error

32.9b

Counts

106 → 25

Compiler

Compiled 2368 to 1642 computations (30.7% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

26.7b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
26.7b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
26.7b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
26.8b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite86.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

32.9b

Rules

4×	`pow1_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`

Counts

4 → 28

Calls

4 calls:

2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
1.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 1876 to 1031 computations (45% saved)

series123.0ms (1.1%)

Error

32.0b

Counts

4 → 24

Calls

4 calls:

18.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
18.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
17.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
16.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 3536 to 2164 computations (38.8% saved)

simplify80.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

608×	`distribute-rgt-neg-in_binary64`
598×	`distribute-lft-neg-in_binary64`
426×	`associate-r_binary64`
395×	`associate-l_binary64`
366×	`neg-mul-1_binary64`
355×	`neg-sub0_binary64`
325×	`sub-neg_binary64`
145×	`cancel-sign-sub-inv_binary64`
127×	`*-commutative_binary64`
80×	`swap-sqr_binary64`
73×	`distribute-rgt-out--_binary64`
72×	`associate-+l-_binary64`
67×	`unswap-sqr_binary64`
55×	`associate-+l+_binary64`
51×	`distribute-lft-out--_binary64`
49×	`distribute-rgt-out_binary64`
46×	`sqr-pow_binary64`
44×	`associate-+r+_binary64`
43×	`unsub-neg_binary64`
42×	`associate--l+_binary64` `+-commutative_binary64`
33×	`associate-+r-_binary64`
31×	`cube-prod_binary64`
28×	`distribute-lft-out_binary64`
20×	`associate--r+_binary64`
16×	`cube-unmult_binary64` `distribute-lft-neg-out_binary64`
14×	`unpow3_binary64`
13×	`associate-/l*_binary64`
12×	`pow-plus_binary64`
11×	`associate--l-_binary64`
8×	`sub0-neg_binary64` `associate-/r*_binary64`
7×	`+-rgt-identity_binary64`
6×	`distribute-rgt-neg-out_binary64` `associate-/r/_binary64`
4×	`cube-mult_binary64` `distribute-neg-in_binary64` `distribute-rgt-in_binary64` `associate-/l/_binary64`
3×	`associate-l/_binary64` `associate-r/_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `pow-sqr_binary64` `cancel-sign-sub_binary64` `associate--r-_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_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` `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-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` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-in_binary64` `count-2_binary64`

Counts

52 → 16

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	74	1044
1	176	960
2	485	960
3	2086	960
4	4266	933
5	5143	933

prune70.0ms (0.6%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	1	23	24
Picked	0	1	1
Done	0	0	0
Total	16	25	41

Error

32.8b

Counts

41 → 25

Compiler

Compiled 2010 to 1293 computations (35.7% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

26.7b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
26.7b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
26.7b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
26.8b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite89.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

32.8b

Rules

4×	`pow1_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`

Counts

4 → 28

Calls

4 calls:

2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 1960 to 1115 computations (43.1% saved)

series132.0ms (1.1%)

Error

32.0b

Counts

4 → 24

Calls

4 calls:

19.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
19.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
17.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
17.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 3692 to 2320 computations (37.2% saved)

simplify80.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

608×	`distribute-rgt-neg-in_binary64`
598×	`distribute-lft-neg-in_binary64`
426×	`associate-r_binary64`
395×	`associate-l_binary64`
366×	`neg-mul-1_binary64`
355×	`neg-sub0_binary64`
325×	`sub-neg_binary64`
145×	`cancel-sign-sub-inv_binary64`
127×	`*-commutative_binary64`
80×	`swap-sqr_binary64`
73×	`distribute-rgt-out--_binary64`
72×	`associate-+l-_binary64`
67×	`unswap-sqr_binary64`
55×	`associate-+l+_binary64`
51×	`distribute-lft-out--_binary64`
49×	`distribute-rgt-out_binary64`
46×	`sqr-pow_binary64`
44×	`associate-+r+_binary64`
43×	`unsub-neg_binary64`
42×	`associate--l+_binary64` `+-commutative_binary64`
33×	`associate-+r-_binary64`
31×	`cube-prod_binary64`
28×	`distribute-lft-out_binary64`
20×	`associate--r+_binary64`
16×	`cube-unmult_binary64` `distribute-lft-neg-out_binary64`
14×	`unpow3_binary64`
13×	`associate-/l*_binary64`
12×	`pow-plus_binary64`
11×	`associate--l-_binary64`
8×	`sub0-neg_binary64` `associate-/r*_binary64`
7×	`+-rgt-identity_binary64`
6×	`distribute-rgt-neg-out_binary64` `associate-/r/_binary64`
4×	`cube-mult_binary64` `distribute-neg-in_binary64` `distribute-rgt-in_binary64` `associate-/l/_binary64`
3×	`associate-l/_binary64` `associate-r/_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `pow-sqr_binary64` `cancel-sign-sub_binary64` `associate--r-_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_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` `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-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` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-in_binary64` `count-2_binary64`

Counts

52 → 16

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	74	1044
1	176	960
2	485	960
3	2086	960
4	4266	933
5	5143	933

prune46.0ms (0.4%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	0	23	23
Picked	1	0	1
Done	0	1	1
Total	16	25	41

Error

32.8b

Counts

41 → 25

Compiler

Compiled 1218 to 697 computations (42.8% saved)

regimes3.2s (27.8%)

Accuracy

Total 2.4b remaining (7.7%)

Threshold costs 0b (0%)

Compiler

Compiled 63705 to 50921 computations (20.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
2×	`sub-neg_binary64` `+-commutative_binary64`
1×	`neg-mul-1_binary64` `neg-sub0_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` `1-exp_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	17	37
1	23	37
2	28	37
3	30	37
4	31	37
5	31	37

end1.0ms (0%)

Compiler: Compiled 23 to 21 computations (8.7% saved)

sample4.6s (40.1%)

Algorithm

1×

intervals

Results

774.0ms	1470×	body	1024	valid
639.0ms	1242×	body	1024	invalid
628.0ms	5167×	body	128	valid
308.0ms	85×	body	4096	valid
287.0ms	750×	body	512	valid
227.0ms	615×	body	512	invalid
184.0ms	195×	body	2048	valid
158.0ms	1235×	body	128	invalid
84.0ms	333×	body	256	valid
77.0ms	316×	body	256	invalid

Compiler

Compiled 953 to 743 computations (22% saved)

Details

analyze1.2s (10.7%)

sample129.0ms (1.1%)

simplify56.0ms (0.5%)

prune7.0ms (0.1%)

localize14.0ms (0.1%)

rewrite203.0ms (1.8%)

series199.0ms (1.7%)

simplify134.0ms (1.2%)

prune95.0ms (0.8%)

localize18.0ms (0.2%)

rewrite387.0ms (3.4%)

series215.0ms (1.9%)

simplify135.0ms (1.2%)

prune113.0ms (1%)

localize23.0ms (0.2%)

rewrite86.0ms (0.7%)

series123.0ms (1.1%)

simplify80.0ms (0.7%)

prune70.0ms (0.6%)

localize28.0ms (0.2%)

rewrite89.0ms (0.8%)

series132.0ms (1.1%)

simplify80.0ms (0.7%)

prune46.0ms (0.4%)

regimes3.2s (27.8%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end1.0ms (0%)

sample4.6s (40.1%)

Profiling