Details

analyze9.8s (18%)

Algorithm

1×	search
2×	egg-herbie

Rules

395×	`associate-/l/_binary64`
281×	`neg-mul-1_binary64`
225×	`distribute-neg-frac_binary64`
202×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
193×	`associate-*r/_binary64`
179×	`distribute-rgt-neg-in_binary64`
170×	`*-commutative_binary64`
161×	`associate-l_binary64`
160×	`associate-*l/_binary64`
157×	`distribute-lft-neg-in_binary64`
148×	`associate-/l*_binary64`
118×	`associate-r_binary64`
106×	`cancel-sign-sub-inv_binary64`
92×	`swap-sqr_binary64`
87×	`sqr-pow_binary64`
84×	`neg-sub0_binary64`
62×	`unswap-sqr_binary64`
53×	`sub-neg_binary64`
38×	`distribute-lft-neg-out_binary64`
37×	`+-commutative_binary64`
33×	`times-frac_binary64` `div-sub_binary64`
29×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64`
16×	`difference-of-squares_binary64`
11×	`associate-/r/_binary64`
10×	`associate-/r*_binary64`
5×	`distribute-rgt-neg-out_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` `unpow3_binary64` `pow-plus_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-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-square-sqrt_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` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	249	1925
1	710	1925
2	2441	1925
3	4874	1925
4	5141	1925
0	5	5
1	5	5

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
6.2%	93.5%	0.2%	11
6.2%	93.5%	0.2%	12
7.8%	92%	0.2%	13
8.6%	91.2%	0.2%	14

Compiler

Compiled 110 to 84 computations (23.6% saved)

sample1.2s (2.3%)

Algorithm

1×

intervals

Results

333.0ms	52×	body	4096	valid
242.0ms	63×	body	2048	valid
185.0ms	29×	body	4096	invalid
153.0ms	40×	body	2048	invalid
77.0ms	28×	body	1024	valid
56.0ms	24×	body	1024	invalid
49.0ms	101×	body	128	valid
37.0ms	2×	body	8192	valid
27.0ms	2×	body	8192	invalid
17.0ms	10×	body	512	invalid
14.0ms	32×	body	128	invalid
8.0ms	6×	body	512	valid
4.0ms	4×	body	256	valid
4.0ms	5×	body	256	invalid

Compiler

Compiled 219 to 172 computations (21.5% saved)

simplify32.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

600×	`associate-/l/_binary64`
540×	`associate-/r*_binary64`
529×	`associate-/r/_binary64`
263×	`distribute-rgt-in_binary64`
260×	`distribute-lft-in_binary64`
145×	`associate-l_binary64`
138×	`associate-r_binary64`
112×	`associate-/l*_binary64`
103×	`associate-*r/_binary64`
99×	`associate-*l/_binary64`
83×	`distribute-neg-frac_binary64`
65×	`swap-sqr_binary64`
55×	`times-frac_binary64` `distribute-rgt-neg-in_binary64`
52×	`unswap-sqr_binary64`
50×	`*-commutative_binary64`
46×	`distribute-lft-neg-in_binary64`
44×	`div-sub_binary64`
43×	`cancel-sign-sub-inv_binary64`
26×	`neg-sub0_binary64`
25×	`distribute-lft-neg-out_binary64`
24×	`neg-mul-1_binary64` `sqr-pow_binary64`
19×	`sub-neg_binary64`
18×	`distribute-rgt-neg-out_binary64`
16×	`distribute-neg-in_binary64`
6×	`unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `cube-unmult_binary64` `rem-sqrt-square_binary64`
5×	`+-commutative_binary64`
4×	`difference-of-squares_binary64`
2×	`unsub-neg_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
1×	`1-exp_binary64` `distribute-frac-neg_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_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` `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-square-sqrt_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` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_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--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	175
1	103	175
2	310	175
3	1387	172
4	5232	172

prune9.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

41.8b

Counts

2 → 2

Compiler

Compiled 323 to 229 computations (29.1% saved)

localize60.0ms (0.1%)

Local error

Found 4 expressions with local error:

24.8b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
24.8b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
24.8b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
32.3b	(-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale)) (.f64 (.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale)))

rewrite471.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

36.4b

Rules

15×	`associate-*r/_binary64`
9×	`frac-sub_binary64`
7×	`associate-*l/_binary64`
6×	`add-log-exp_binary64` `frac-times_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
2×	`sub-div_binary64`
1×	`diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64`

Counts

4 → 44

Calls

4 calls:

39.0ms	(-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale)) (.f64 (.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale)))
2.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

Compiler

Compiled 6110 to 4322 computations (29.3% saved)

series1.0s (1.9%)

Error

36.1b

Counts

4 → 25

Calls

4 calls:

890.0ms	(-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale)) (.f64 (.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale)))
24.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
21.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
20.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

Compiler

Compiled 5804 to 4525 computations (22% saved)

simplify168.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

250×	`distribute-rgt-in_binary64`
242×	`distribute-lft-in_binary64`
224×	`associate-r_binary64`
202×	`distribute-rgt-neg-in_binary64`
200×	`unswap-sqr_binary64`
197×	`cancel-sign-sub-inv_binary64`
178×	`times-frac_binary64`
173×	`associate-l_binary64`
170×	`distribute-lft-neg-in_binary64`
163×	`associate-/l*_binary64`
156×	`associate-*l/_binary64`
152×	`*-commutative_binary64`
135×	`associate-*r/_binary64`
114×	`associate-/r*_binary64`
92×	`distribute-neg-frac_binary64`
73×	`sqr-pow_binary64`
56×	`neg-sub0_binary64`
53×	`distribute-lft-out_binary64`
51×	`cube-div_binary64`
45×	`neg-mul-1_binary64` `+-commutative_binary64`
44×	`sub-neg_binary64`
43×	`cube-prod_binary64`
41×	`distribute-rgt-out_binary64`
40×	`distribute-neg-in_binary64`
39×	`distribute-lft-neg-out_binary64`
35×	`swap-sqr_binary64`
33×	`mul-1-neg_binary64`
29×	`exp-prod_binary64`
17×	`unpow3_binary64` `associate-/r/_binary64`
16×	`cube-mult_binary64`
15×	`associate-/l/_binary64`
12×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
8×	`distribute-rgt-neg-out_binary64`
7×	`difference-of-squares_binary64`
5×	`cube-unmult_binary64`
4×	`pow-plus_binary64` `div-sub_binary64`
3×	`exp-sum_binary64` `unsub-neg_binary64` `pow-sqr_binary64` `distribute-rgt-out--_binary64`
2×	`exp-diff_binary64` `distribute-frac-neg_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `+-rgt-identity_binary64` `distribute-lft-out--_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` `rec-exp_binary64` `prod-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-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` `/-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-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64`

Counts

69 → 52

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	7502
1	626	6809
2	2739	6473
3	5086	6473

prune528.0ms (1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	43	9	52
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	44	10	54

Error

34.7b

Counts

54 → 10

Compiler

Compiled 5634 to 3649 computations (35.2% saved)

localize38.0ms (0.1%)

Local error

Found 4 expressions with local error:

24.8b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
24.8b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
24.8b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
24.8b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

rewrite277.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

34.7b

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:

3.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
3.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
3.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
2.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

Compiler

Compiled 2100 to 1018 computations (51.5% saved)

series69.0ms (0.1%)

Error

34.7b

Counts

4 → 12

Calls

4 calls:

15.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
13.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
13.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
13.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

Compiler

Compiled 1976 to 1263 computations (36.1% saved)

simplify226.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1304×	`sqr-pow_binary64`
724×	`unswap-sqr_binary64`
614×	`pow-sqr_binary64`
326×	`cube-prod_binary64`
313×	`associate-l_binary64`
281×	`*-commutative_binary64`
226×	`unpow3_binary64`
216×	`cube-mult_binary64`
183×	`associate-r_binary64`
96×	`pow-plus_binary64`
32×	`rem-sqrt-square_binary64`
18×	`cube-unmult_binary64`
12×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_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` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `swap-sqr_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64` `+-commutative_binary64`

Counts

40 → 4

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	578
1	31	494
2	40	494
3	47	494
4	54	494
5	69	494
6	106	494
7	207	494
8	551	494
9	1147	494
10	1286	494
11	1549	494
12	1854	494
13	2264	494
14	2827	494
15	3286	494
16	3590	494
17	3706	494
18	3726	494
19	3730	494
20	3730	494
21	4527	494
22	5187	494

prune66.0ms (0.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	4	0	4
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	4	10	14

Error

34.7b

Counts

14 → 10

Compiler

Compiled 1356 to 883 computations (34.9% saved)

localize11.0ms (0%)

Local error

Found 3 expressions with local error:

17.1b	(.f64 (.f64 x-scale x-scale) (*.f64 y-scale y-scale))
18.5b	(.f64 (.f64 a a) (*.f64 b b))
19.1b	(/.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 (.f64 x-scale x-scale) (.f64 y-scale y-scale)))

rewrite434.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

17.3b

Rules

157×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
96×	`prod-exp_binary64` `cbrt-unprod_binary64`
59×	`pow1_binary64`
28×	`pow-prod-down_binary64`
25×	`div-exp_binary64` `cbrt-undiv_binary64`
8×	`pow-prod-up_binary64` `pow-plus_binary64`
4×	`pow2_binary64` `pow-sqr_binary64`
3×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
2×	`unswap-sqr_binary64` `associate-l_binary64` `associate-r_binary64` `*-commutative_binary64`
1×	`frac-2neg_binary64` `times-frac_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `associate-/r_binary64`

Counts

3 → 121

Calls

3 calls:

19.0ms	(/.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 (.f64 x-scale x-scale) (.f64 y-scale y-scale)))
9.0ms	(.f64 (.f64 a a) (*.f64 b b))
9.0ms	(.f64 (.f64 x-scale x-scale) (*.f64 y-scale y-scale))

Compiler

Compiled 3171 to 528 computations (83.3% saved)

series152.0ms (0.3%)

Error

34.7b

Counts

3 → 24

Calls

3 calls:

91.0ms	(/.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 (.f64 x-scale x-scale) (.f64 y-scale y-scale)))
21.0ms	(.f64 (.f64 a a) (*.f64 b b))
20.0ms	(.f64 (.f64 x-scale x-scale) (*.f64 y-scale y-scale))

Compiler

Compiled 867 to 856 computations (1.3% saved)

simplify127.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

685×	`associate-/l/_binary64`
561×	`times-frac_binary64`
305×	`associate-/r/_binary64`
222×	`log-prod_binary64`
212×	`log-div_binary64`
202×	`unswap-sqr_binary64`
192×	`associate-/l*_binary64`
181×	`associate-l_binary64`
177×	`associate-/r*_binary64`
148×	`associate-r_binary64`
73×	`associate--l+_binary64`
66×	`exp-prod_binary64`
64×	`associate--r+_binary64`
61×	`*-commutative_binary64`
56×	`sub-neg_binary64`
45×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
44×	`cube-prod_binary64` `swap-sqr_binary64`
40×	`cancel-sign-sub-inv_binary64`
38×	`sqr-pow_binary64`
25×	`associate-*l/_binary64`
23×	`neg-mul-1_binary64` `neg-sub0_binary64`
22×	`associate-*r/_binary64`
20×	`cube-div_binary64`
15×	`distribute-neg-in_binary64`
14×	`+-commutative_binary64`
12×	`associate-+l+_binary64`
10×	`pow-sqr_binary64`
9×	`cube-unmult_binary64`
8×	`log-pow_binary64` `pow-plus_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
7×	`unsub-neg_binary64` `distribute-rgt-in_binary64`
5×	`distribute-lft-out--_binary64`
4×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `distribute-lft-out_binary64` `count-2_binary64`
3×	`distribute-rgt-out--_binary64`
2×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-out_binary64` `associate--l-_binary64`
1×	`1-exp_binary64` `distribute-lft-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-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_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` `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-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` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_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` `associate--r-_binary64`

Counts

145 → 103

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	150	3865
1	298	2451
2	2177	2117
3	4779	2065
4	5091	2065

prune39.0ms (0.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	97	6	103
Fresh	6	2	8
Picked	1	0	1
Done	1	0	1
Total	105	8	113

Error

6.2b

Counts

113 → 8

Compiler

Compiled 524 to 305 computations (41.8% saved)

localize13.0ms (0%)

Local error

Found 3 expressions with local error:

0.2b

(*.f64 (fabs.f64 (/.f64 (*.f64 a b) (*.f64 x-scale y-scale))) (fabs.f64 (/.f64 (*.f64 a b) (*.f64 x-scale y-scale))))

10.0b

(/.f64 (*.f64 a b) (*.f64 x-scale y-scale))

10.0b

(/.f64 (*.f64 a b) (*.f64 x-scale y-scale))

rewrite166.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

6.0b

Rules

29×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`pow1_binary64`
9×	`prod-exp_binary64` `cbrt-unprod_binary64` `add-sqr-sqrt_binary64`
8×	`div-exp_binary64` `cbrt-undiv_binary64`
7×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
3×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64`
2×	`frac-2neg_binary64` `times-frac_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `associate-/r_binary64`
1×	`pow2_binary64` `pow-prod-down_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `sqr-abs_binary64` `pow-sqr_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

3 → 68

Calls

3 calls:

6.0ms

(/.f64 (*.f64 a b) (*.f64 x-scale y-scale))

6.0ms

(/.f64 (*.f64 a b) (*.f64 x-scale y-scale))

4.0ms

(*.f64 (fabs.f64 (/.f64 (*.f64 a b) (*.f64 x-scale y-scale))) (fabs.f64 (/.f64 (*.f64 a b) (*.f64 x-scale y-scale))))

Compiler

Compiled 1763 to 338 computations (80.8% saved)

series140.0ms (0.3%)

Error

6.2b

Counts

3 → 36

Calls

3 calls:

49.0ms

(/.f64 (*.f64 a b) (*.f64 x-scale y-scale))

48.0ms

(/.f64 (*.f64 a b) (*.f64 x-scale y-scale))

41.0ms

(*.f64 (fabs.f64 (/.f64 (*.f64 a b) (*.f64 x-scale y-scale))) (fabs.f64 (/.f64 (*.f64 a b) (*.f64 x-scale y-scale))))

Compiler

Compiled 1231 to 904 computations (26.6% saved)

simplify86.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

630×	`associate-*l/_binary64`
593×	`associate-/r*_binary64`
524×	`associate-*r/_binary64`
281×	`log-div_binary64`
277×	`cube-div_binary64`
224×	`*-commutative_binary64`
204×	`associate-/l/_binary64`
181×	`times-frac_binary64`
166×	`log-prod_binary64`
113×	`associate-/r/_binary64`
96×	`exp-prod_binary64`
88×	`associate-l_binary64`
87×	`associate-/l*_binary64`
76×	`swap-sqr_binary64`
68×	`associate-r_binary64`
55×	`unpow3_binary64`
54×	`cube-mult_binary64`
43×	`unswap-sqr_binary64`
34×	`cube-prod_binary64`
23×	`sub-neg_binary64`
21×	`sqr-pow_binary64`
15×	`associate-+l+_binary64`
13×	`associate-+r+_binary64`
12×	`+-commutative_binary64`
11×	`pow-plus_binary64`
10×	`cube-unmult_binary64`
9×	`neg-mul-1_binary64` `neg-sub0_binary64` `associate--r+_binary64` `associate-+l-_binary64`
8×	`associate--l+_binary64`
6×	`log-pow_binary64` `pow-sqr_binary64` `associate-+r-_binary64`
5×	`distribute-rgt-in_binary64`
4×	`*-rgt-identity_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
3×	`rem-sqrt-square_binary64` `unsub-neg_binary64` `*-lft-identity_binary64` `distribute-lft-in_binary64` `count-2_binary64`
2×	`unpow1/2_binary64` `cancel-sign-sub-inv_binary64` `distribute-neg-in_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `rem-square-sqrt_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` `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` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-neg_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-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` `associate--r-_binary64` `associate--l-_binary64`

Counts

104 → 43

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	1663
1	206	1357
2	952	1310
3	4098	1290
4	5103	1290

prune38.0ms (0.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	36	7	43
Fresh	4	3	7
Picked	0	1	1
Done	0	0	0
Total	40	11	51

Error

6.1b

Counts

51 → 11

Compiler

Compiled 430 to 128 computations (70.2% saved)

regimes2.5s (4.5%)

Accuracy

Total 0.7b remaining (12.3%)

Threshold costs 0.7b (12.3%)

Compiler

Compiled 57498 to 41295 computations (28.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_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` `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` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `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` `+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	32
1	22	32
2	21	32

end1.0ms (0%)

Compiler: Compiled 21 to 16 computations (23.8% saved)

sample37.0s (67.6%)

Algorithm

1×

intervals

Results

9.6s	1460×	body	4096	valid
6.3s	1646×	body	2048	valid
6.0s	867×	body	4096	invalid
4.7s	1205×	body	2048	invalid
2.2s	876×	body	1024	valid
1.8s	3427×	body	128	valid
1.7s	697×	body	1024	invalid
1.1s	73×	body	8192	valid
587.0ms	360×	body	512	valid
558.0ms	40×	body	8192	invalid
489.0ms	1080×	body	128	invalid
414.0ms	249×	body	512	invalid
149.0ms	158×	body	256	valid
110.0ms	112×	body	256	invalid

Compiler

Compiled 458 to 350 computations (23.6% saved)

Details

analyze9.8s (18%)

sample1.2s (2.3%)

simplify32.0ms (0.1%)

prune9.0ms (0%)

localize60.0ms (0.1%)

rewrite471.0ms (0.9%)

series1.0s (1.9%)

simplify168.0ms (0.3%)

prune528.0ms (1%)

localize38.0ms (0.1%)

rewrite277.0ms (0.5%)

series69.0ms (0.1%)

simplify226.0ms (0.4%)

prune66.0ms (0.1%)

localize11.0ms (0%)

rewrite434.0ms (0.8%)

series152.0ms (0.3%)

simplify127.0ms (0.2%)

prune39.0ms (0.1%)

localize13.0ms (0%)

rewrite166.0ms (0.3%)

series140.0ms (0.3%)

simplify86.0ms (0.2%)

prune38.0ms (0.1%)

regimes2.5s (4.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end1.0ms (0%)

sample37.0s (67.6%)

Profiling