Details

analyze1.4s (9.7%)

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)

sample102.0ms (0.7%)

Algorithm

1×

intervals

Results

21.0ms	42×	body	1024	valid
20.0ms	179×	body	128	valid
19.0ms	33×	body	1024	invalid
7.0ms	20×	body	512	invalid
5.0ms	16×	body	512	valid
4.0ms	5×	body	2048	valid
4.0ms	30×	body	128	invalid
3.0ms	14×	body	256	valid
2.0ms	7×	body	256	invalid

Compiler

Compiled 47 to 46 computations (2.1% saved)

simplify57.0ms (0.4%)

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

prune3.0ms (0%)

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

27.3b

Counts

2 → 1

Compiler

Compiled 46 to 40 computations (13% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.7b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
8.7b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
20.0b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
20.2b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite180.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

26.8b

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:

17.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
9.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2230 to 1676 computations (24.8% saved)

series209.0ms (1.4%)

Error

25.0b

Counts

4 → 42

Calls

4 calls:

108.0ms	(.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)

simplify132.0ms (0.9%)

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

prune96.0ms (0.7%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	71	17	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	17	89

Error

25.8b

Counts

89 → 17

Compiler

Compiled 1905 to 1265 computations (33.6% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.7b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
8.7b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
20.0b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
20.2b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite200.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

25.8b

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

Compiler

Compiled 2434 to 1880 computations (22.8% saved)

series231.0ms (1.6%)

Error

25.0b

Counts

4 → 42

Calls

4 calls:

112.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
34.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
15.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
14.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2715 to 2323 computations (14.4% saved)

simplify138.0ms (0.9%)

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

prune117.0ms (0.8%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	81	7	88
Fresh	3	13	16
Picked	1	0	1
Done	0	0	0
Total	85	20	105

Error

25.8b

Counts

105 → 20

Compiler

Compiled 2138 to 1472 computations (31.2% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.7b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
8.7b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
20.0b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
20.2b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite232.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

25.8b

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:

15.0ms	(.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)))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2638 to 2084 computations (21% saved)

series246.0ms (1.7%)

Error

25.0b

Counts

4 → 42

Calls

4 calls:

116.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
34.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
16.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
16.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2958 to 2566 computations (13.3% saved)

simplify142.0ms (1%)

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

prune129.0ms (0.9%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	83	5	88
Fresh	5	14	19
Picked	1	0	1
Done	0	0	0
Total	89	19	108

Error

25.8b

Counts

108 → 19

Compiler

Compiled 2241 to 1593 computations (28.9% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.7b	(-.f64 (.f64 b b) (.f64 a a))
8.7b	(.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))
20.0b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
20.3b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))

rewrite159.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

25.8b

Rules

9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
6×	`add-log-exp_binary64`
5×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`
4×	`associate-*r/_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64`
2×	`flip3--_binary64` `flip--_binary64`
1×	`associate-r_binary64` `*-commutative_binary64` `diff-log_binary64` `difference-of-squares_binary64`

Counts

4 → 55

Calls

4 calls:

9.0ms	(.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))
4.0ms	(-.f64 (.f64 b b) (.f64 a a))
2.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
2.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2035 to 1170 computations (42.5% saved)

series240.0ms (1.6%)

Error

24.9b

Counts

4 → 42

Calls

4 calls:

117.0ms	(.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))
38.0ms	(-.f64 (.f64 b b) (.f64 a a))
14.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
13.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2958 to 2475 computations (16.3% saved)

simplify85.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

568×	`cancel-sign-sub-inv_binary64`
403×	`distribute-rgt-in_binary64`
374×	`distribute-lft-in_binary64`
307×	`unswap-sqr_binary64` `associate-r_binary64`
244×	`associate-l_binary64`
204×	`distribute-rgt-neg-in_binary64`
187×	`distribute-lft-neg-in_binary64`
164×	`*-commutative_binary64`
117×	`sub-neg_binary64`
60×	`sqr-pow_binary64`
53×	`+-commutative_binary64`
48×	`neg-sub0_binary64`
47×	`neg-mul-1_binary64`
42×	`distribute-lft-neg-out_binary64`
35×	`associate--r+_binary64`
33×	`associate--l+_binary64`
32×	`distribute-neg-in_binary64`
31×	`swap-sqr_binary64`
30×	`distribute-rgt-out_binary64`
28×	`exp-prod_binary64`
27×	`associate-+l+_binary64`
24×	`distribute-rgt-neg-out_binary64`
23×	`unsub-neg_binary64` `distribute-rgt-out--_binary64`
22×	`associate-+r+_binary64`
17×	`log-prod_binary64` `cube-prod_binary64`
12×	`exp-sum_binary64`
11×	`cube-unmult_binary64` `difference-of-squares_binary64`
7×	`pow-sqr_binary64` `distribute-lft-out--_binary64`
6×	`unpow3_binary64`
5×	`exp-diff_binary64`
4×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `cube-mult_binary64`
3×	`exp-lft-sqr_binary64`
2×	`pow-plus_binary64` `mul-1-neg_binary64` `+-rgt-identity_binary64` `distribute-lft-out_binary64` `associate-/l*_binary64` `associate-+r-_binary64`
1×	`div-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `times-frac_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` `exp-neg_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-sqrt-square_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-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

97 → 63

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	218	2505
1	551	2252
2	1979	2200
3	5229	2200

prune75.0ms (0.5%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	58	5	63
Fresh	1	17	18
Picked	1	0	1
Done	0	0	0
Total	60	22	82

Error

25.8b

Counts

82 → 22

Compiler

Compiled 1232 to 778 computations (36.9% saved)

regimes5.9s (39.9%)

Accuracy

Total 2.2b remaining (7.2%)

Threshold costs 0b (0%)

Compiler

Compiled 103051 to 89109 computations (13.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64`
3×	`sub-neg_binary64` `+-commutative_binary64`
2×	`neg-mul-1_binary64` `neg-sub0_binary64`
1×	`cancel-sign-sub-inv_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `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_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	47
1	32	47
2	39	47
3	43	47
4	45	47
5	45	47

end1.0ms (0%)

Compiler: Compiled 29 to 24 computations (17.2% saved)

sample4.5s (30.9%)

Algorithm

1×

intervals

Results

779.0ms	1457×	body	1024	valid
632.0ms	1260×	body	1024	invalid
612.0ms	5122×	body	128	valid
300.0ms	799×	body	512	valid
259.0ms	70×	body	4096	valid
246.0ms	651×	body	512	invalid
159.0ms	170×	body	2048	valid
158.0ms	1243×	body	128	invalid
95.0ms	382×	body	256	valid
75.0ms	312×	body	256	invalid

Compiler

Compiled 812 to 654 computations (19.5% saved)

Details

analyze1.4s (9.7%)

sample102.0ms (0.7%)

simplify57.0ms (0.4%)

prune3.0ms (0%)

localize15.0ms (0.1%)

rewrite180.0ms (1.2%)

series209.0ms (1.4%)

simplify132.0ms (0.9%)

prune96.0ms (0.7%)

localize18.0ms (0.1%)

rewrite200.0ms (1.4%)

series231.0ms (1.6%)

simplify138.0ms (0.9%)

prune117.0ms (0.8%)

localize21.0ms (0.1%)

rewrite232.0ms (1.6%)

series246.0ms (1.7%)

simplify142.0ms (1%)

prune129.0ms (0.9%)

localize24.0ms (0.2%)

rewrite159.0ms (1.1%)

series240.0ms (1.6%)

simplify85.0ms (0.6%)

prune75.0ms (0.5%)

regimes5.9s (39.9%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end1.0ms (0%)

sample4.5s (30.9%)

Profiling