Details

analyze17.5s (12.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

461×	`associate-r_binary64`
408×	`associate-l_binary64`
292×	`*-commutative_binary64`
173×	`sqr-pow_binary64`
171×	`times-frac_binary64`
170×	`associate-/l*_binary64`
132×	`sub-neg_binary64`
128×	`neg-mul-1_binary64` `neg-sub0_binary64`
102×	`associate-/r_binary64` `associate-l/_binary64`
81×	`+-commutative_binary64`
64×	`div-sub_binary64` `associate-/r/_binary64`
63×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
62×	`swap-sqr_binary64`
59×	`unpow2_binary64`
57×	`unpow1/2_binary64` `unpow1_binary64`
47×	`distribute-rgt-neg-out_binary64`
46×	`associate-*r/_binary64`
44×	`associate-/l/_binary64`
22×	`distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `associate--l+_binary64`
16×	`div0_binary64`
11×	`unsub-neg_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `associate-+l+_binary64`
8×	`difference-of-squares_binary64` `cancel-sign-sub-inv_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-sqrt-square_binary64` `rem-square-sqrt_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` `*-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` `unswap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-neg-in_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` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	410	3212
1	1119	3121
2	4608	3121
3	5001	3121
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
0%	99.8%	0.2%	11
0%	99.8%	0.2%	12
0%	99.8%	0.2%	13
0%	99.8%	0.2%	14

Compiler

Compiled 184 to 125 computations (32.1% saved)

sample2.6s (1.8%)

Algorithm

1×

intervals

Results

1.2s	119×	body	4096	valid
936.0ms	51×	body	8192	valid
281.0ms	50×	body	2048	valid
70.0ms	22×	body	1024	valid
14.0ms	7×	body	512	valid
7.0ms	5×	body	256	valid
3.0ms	1×	body	1024	invalid
1.0ms	2×	body	128	valid

Compiler

Compiled 367 to 254 computations (30.8% saved)

simplify27.0ms (0%)

Algorithm

1×	egg-herbie

Rules

742×	`times-frac_binary64`
606×	`associate-l_binary64`
593×	`associate-r_binary64`
303×	`associate-/r*_binary64`
262×	`associate-/l*_binary64`
164×	`associate-*l/_binary64`
116×	`associate-*r/_binary64`
91×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
64×	`distribute-rgt-neg-out_binary64`
52×	`distribute-lft-neg-out_binary64`
42×	`associate-/r/_binary64`
36×	`*-commutative_binary64`
27×	`sqr-pow_binary64`
18×	`swap-sqr_binary64`
17×	`associate-/l/_binary64`
16×	`neg-mul-1_binary64` `neg-sub0_binary64`
14×	`sub-neg_binary64` `distribute-frac-neg_binary64`
11×	`unswap-sqr_binary64`
9×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64`
8×	`+-commutative_binary64`
7×	`distribute-lft-neg-in_binary64`
6×	`div-sub_binary64` `distribute-rgt-neg-in_binary64`
4×	`cancel-sign-sub-inv_binary64`
3×	`distribute-neg-frac_binary64`
2×	`div0_binary64` `difference-of-squares_binary64` `distribute-neg-in_binary64` `associate--l+_binary64`
1×	`1-exp_binary64` `unsub-neg_binary64` `associate-+l+_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-sqrt-square_binary64` `rem-square-sqrt_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` `*-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--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+r+_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	57	292
1	154	287
2	560	287
3	5065	287

prune27.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

63.9b

Counts

2 → 1

Compiler

Compiled 360 to 236 computations (34.4% saved)

localize71.0ms (0%)

Local error

Found 4 expressions with local error:

28.5b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
28.5b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
28.5b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
39.5b	(-.f64 (+.f64 (/.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)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.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) (pow.f64 (/.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) PI.f64)) (.f64 (sin.f64 (.f64 (/.f64 angle 180) PI.f64)) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) (.f64 x-scale y-scale)) 2))))

rewrite1.3s (0.9%)

Algorithm

1×	rewrite-expression-head

Error

63.8b

Rules

18×	`*-un-lft-identity_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`add-log-exp_binary64` `cancel-sign-sub-inv_binary64`
7×	`sqrt-prod_binary64`
6×	`add-cube-cbrt_binary64` `sqrt-div_binary64` `frac-sub_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `unpow-prod-down_binary64` `distribute-lft-out_binary64`
3×	`distribute-lft-out--_binary64`
2×	`diff-log_binary64` `frac-add_binary64` `difference-of-squares_binary64`
1×	`sum-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `associate--l+_binary64`

Counts

4 → 53

Calls

4 calls:

289.0ms	(-.f64 (+.f64 (/.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)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.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) (pow.f64 (/.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) PI.f64)) (.f64 (sin.f64 (.f64 (/.f64 angle 180) PI.f64)) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) (.f64 x-scale y-scale)) 2))))
3.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
3.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

Compiler

Compiled 15167 to 9281 computations (38.8% saved)

series27.7s (19.3%)

Error

63.4b

Counts

4 → 25

Calls

4 calls:

27.2s	(-.f64 (+.f64 (/.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)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.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) (pow.f64 (/.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) PI.f64)) (.f64 (sin.f64 (.f64 (/.f64 angle 180) PI.f64)) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) (.f64 x-scale y-scale)) 2))))
64.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
64.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
61.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

Compiler

Compiled 21481 to 14548 computations (32.3% saved)

simplify387.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

308×	`cancel-sign-sub-inv_binary64`
298×	`unswap-sqr_binary64`
194×	`times-frac_binary64`
179×	`associate-/l*_binary64`
174×	`sub-neg_binary64`
166×	`+-commutative_binary64`
142×	`associate-r_binary64`
134×	`*-commutative_binary64`
130×	`associate-/r*_binary64`
126×	`associate-l_binary64`
123×	`associate-+r+_binary64`
112×	`associate-+l+_binary64`
106×	`distribute-neg-frac_binary64`
81×	`associate-*r/_binary64`
80×	`associate-*l/_binary64`
76×	`neg-mul-1_binary64` `sqr-pow_binary64`
74×	`neg-sub0_binary64`
63×	`associate--l+_binary64`
54×	`distribute-rgt-in_binary64`
53×	`unpow3_binary64`
50×	`distribute-lft-in_binary64`
34×	`distribute-rgt-neg-in_binary64`
32×	`unsub-neg_binary64`
26×	`associate--r+_binary64`
24×	`associate-/r/_binary64`
21×	`cube-prod_binary64`
20×	`cube-div_binary64` `swap-sqr_binary64` `distribute-lft-neg-in_binary64`
17×	`difference-of-squares_binary64`
15×	`distribute-lft-neg-out_binary64`
14×	`cube-mult_binary64`
12×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-prod_binary64`
11×	`distribute-neg-in_binary64`
9×	`exp-sum_binary64` `cube-unmult_binary64` `distribute-rgt-out_binary64`
7×	`associate-/l/_binary64`
6×	`pow-plus_binary64`
5×	`div-exp_binary64` `exp-diff_binary64` `associate-+r-_binary64`
4×	`div-sub_binary64` `pow-sqr_binary64`
3×	`rem-sqrt-square_binary64` `+-rgt-identity_binary64` `distribute-lft-out_binary64`
2×	`rem-square-sqrt_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt-out--_binary64` `associate-+l-_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `/-rgt-identity_binary64` `*-rgt-identity_binary64` `remove-double-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` `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` `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-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `-lft-identity_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-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

78 → 61

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	323	16266
1	931	15657
2	3489	15639
3	4968	15639
4	4979	15639

prune1.1s (0.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	54	7	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	7	62

Error

63.4b

Counts

62 → 7

Compiler

Compiled 15935 to 9204 computations (42.2% saved)

localize63.0ms (0%)

Local error

Found 4 expressions with local error:

28.6b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
28.6b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
28.6b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
32.5b	(-.f64 (+.f64 (.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) 2)) (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 2) (.f64 a a))) (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 4) (pow.f64 a 4)) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) 4) (pow.f64 b 4)) (.f64 2 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 2) (.f64 b b)) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) 2) (.f64 a a))))))))

rewrite583.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

63.4b

Rules

10×	`add-sqr-sqrt_binary64`
9×	`add-log-exp_binary64`
8×	`*-un-lft-identity_binary64`
6×	`add-cube-cbrt_binary64` `cancel-sign-sub-inv_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3-+_binary64` `sqrt-div_binary64` `frac-sub_binary64` `flip-+_binary64` `sqrt-prod_binary64`
2×	`diff-log_binary64` `difference-of-squares_binary64`
1×	`sum-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `distribute-lft-out--_binary64` `associate--l+_binary64`

Counts

4 → 47

Calls

4 calls:

32.0ms	(-.f64 (+.f64 (.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) 2)) (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 2) (.f64 a a))) (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 4) (pow.f64 a 4)) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) 4) (pow.f64 b 4)) (.f64 2 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 2) (.f64 b b)) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) 2) (.f64 a a))))))))
4.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
3.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
3.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))

Compiler

Compiled 8985 to 4820 computations (46.4% saved)

series5.1s (3.5%)

Error

61.7b

Counts

4 → 18

Calls

4 calls:

4.8s	(-.f64 (+.f64 (.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) 2)) (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 2) (.f64 a a))) (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 4) (pow.f64 a 4)) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) 4) (pow.f64 b 4)) (.f64 2 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 2) (.f64 b b)) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) 2) (.f64 a a))))))))
48.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
48.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
47.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))

Compiler

Compiled 5408 to 3075 computations (43.1% saved)

simplify240.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

493×	`cancel-sign-sub-inv_binary64`
450×	`distribute-rgt-in_binary64`
320×	`unswap-sqr_binary64`
292×	`neg-mul-1_binary64`
286×	`distribute-rgt-neg-in_binary64`
256×	`distribute-lft-neg-in_binary64`
175×	`associate-r_binary64`
162×	`associate-l_binary64`
133×	`cube-prod_binary64`
93×	`unpow3_binary64`
91×	`*-commutative_binary64`
87×	`exp-prod_binary64`
79×	`sub-neg_binary64` `distribute-rgt-out_binary64`
72×	`sqr-pow_binary64`
62×	`distribute-lft-in_binary64`
61×	`neg-sub0_binary64`
60×	`distribute-neg-in_binary64`
59×	`swap-sqr_binary64`
52×	`distribute-rgt-out--_binary64`
46×	`distribute-lft-neg-out_binary64`
41×	`distribute-lft-out_binary64` `+-commutative_binary64`
30×	`distribute-lft-out--_binary64`
29×	`cube-mult_binary64`
24×	`difference-of-squares_binary64`
20×	`associate-+l+_binary64`
18×	`exp-sum_binary64` `distribute-rgt-neg-out_binary64` `associate-+r+_binary64`
14×	`cube-unmult_binary64`
13×	`unsub-neg_binary64`
12×	`associate--r+_binary64`
11×	`pow-plus_binary64` `pow-sqr_binary64`
9×	`exp-diff_binary64` `rem-sqrt-square_binary64` `associate--l+_binary64`
6×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `div-exp_binary64` `+-inverses_binary64` `associate-+r-_binary64`
3×	`log-pow_binary64` `+-rgt-identity_binary64`
2×	`log-prod_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul0-rgt_binary64` `associate-/l*_binary64` `associate-+l-_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `remove-double-neg_binary64` `mul0-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-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `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` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `div0_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-l/_binary64` `associate-r/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

65 → 30

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	152	6826
1	424	6405
2	1656	6351
3	4540	6351
4	4996	6351
5	4995	6351

prune336.0ms (0.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	28	2	30
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	31	6	37

Error

61.7b

Counts

37 → 6

Compiler

Compiled 6586 to 3638 computations (44.8% saved)

localize21.0ms (0%)

Local error

Found 4 expressions with local error:

14.6b	(.f64 (/.f64 8 (pow.f64 (.f64 x-scale y-scale) 2)) (.f64 (.f64 b a) (*.f64 b (neg.f64 a))))
17.3b	(/.f64 (sqrt.f64 (.f64 (.f64 (/.f64 8 (pow.f64 (.f64 x-scale y-scale) 2)) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (.f64 (.f64 (.f64 b a) (.f64 b (neg.f64 a))) (/.f64 0 (.f64 y-scale y-scale))))) (.f64 (.f64 b a) (.f64 b (neg.f64 a))))
20.5b	(.f64 (.f64 (.f64 b a) (.f64 b (neg.f64 a))) (/.f64 0 (*.f64 y-scale y-scale)))
25.2b	(.f64 (.f64 (/.f64 8 (pow.f64 (.f64 x-scale y-scale) 2)) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (.f64 (.f64 (.f64 b a) (.f64 b (neg.f64 a))) (/.f64 0 (*.f64 y-scale y-scale))))

rewrite3.3s (2.3%)

Algorithm

1×	rewrite-expression-head

Error

57.4b

Rules

3797×	`add-exp-log_binary64`
2802×	`prod-exp_binary64`
1574×	`add-cbrt-cube_binary64`
1154×	`cbrt-unprod_binary64`
615×	`div-exp_binary64`
268×	`pow1_binary64`
218×	`pow-prod-down_binary64`
210×	`cbrt-undiv_binary64`
170×	`pow-exp_binary64`
85×	`pow-to-exp_binary64`
25×	`times-frac_binary64`
24×	`associate-l_binary64`
18×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
11×	`distribute-rgt-neg-out_binary64`
9×	`associate-r_binary64`
7×	`associate-r/_binary64` `associate-l/_binary64`
4×	`add-log-exp_binary64` `associate-/l*_binary64`
3×	`distribute-lft-neg-out_binary64` `*-commutative_binary64` `div-inv_binary64` `sqrt-div_binary64` `associate-/l/_binary64` `unpow-prod-down_binary64` `unpow2_binary64` `sqr-pow_binary64`
2×	`frac-times_binary64` `sqrt-prod_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `associate-/r*_binary64`

Counts

4 → 801

Calls

4 calls:

42.0ms	(.f64 (.f64 (/.f64 8 (pow.f64 (.f64 x-scale y-scale) 2)) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (.f64 (.f64 (.f64 b a) (.f64 b (neg.f64 a))) (/.f64 0 (*.f64 y-scale y-scale))))
40.0ms	(/.f64 (sqrt.f64 (.f64 (.f64 (/.f64 8 (pow.f64 (.f64 x-scale y-scale) 2)) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (.f64 (.f64 (.f64 b a) (.f64 b (neg.f64 a))) (/.f64 0 (.f64 y-scale y-scale))))) (.f64 (.f64 b a) (.f64 b (neg.f64 a))))
20.0ms	(.f64 (.f64 (.f64 b a) (.f64 b (neg.f64 a))) (/.f64 0 (*.f64 y-scale y-scale)))
18.0ms	(.f64 (/.f64 8 (pow.f64 (.f64 x-scale y-scale) 2)) (.f64 (.f64 b a) (*.f64 b (neg.f64 a))))

Compiler

Compiled 57437 to 18047 computations (68.6% saved)

series942.0ms (0.7%)

Error

43.1b

Counts

4 → 45

Calls

4 calls:

694.0ms	(.f64 (/.f64 8 (pow.f64 (.f64 x-scale y-scale) 2)) (.f64 (.f64 b a) (*.f64 b (neg.f64 a))))
68.0ms	(/.f64 (sqrt.f64 (.f64 (.f64 (/.f64 8 (pow.f64 (.f64 x-scale y-scale) 2)) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (.f64 (.f64 (.f64 b a) (.f64 b (neg.f64 a))) (/.f64 0 (.f64 y-scale y-scale))))) (.f64 (.f64 b a) (.f64 b (neg.f64 a))))
66.0ms	(.f64 (.f64 (/.f64 8 (pow.f64 (.f64 x-scale y-scale) 2)) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (.f64 (.f64 (.f64 b a) (.f64 b (neg.f64 a))) (/.f64 0 (*.f64 y-scale y-scale))))
45.0ms	(.f64 (.f64 (.f64 b a) (.f64 b (neg.f64 a))) (/.f64 0 (*.f64 y-scale y-scale)))

Compiler

Compiled 3780 to 2585 computations (31.6% saved)

simplify404.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

586×	`neg-mul-1_binary64`
429×	`*-commutative_binary64`
422×	`distribute-rgt-neg-out_binary64`
363×	`associate-+l+_binary64`
308×	`times-frac_binary64`
267×	`div-sub_binary64`
248×	`associate-l_binary64`
234×	`distribute-lft-neg-out_binary64`
232×	`distribute-frac-neg_binary64`
230×	`associate-*l/_binary64`
217×	`associate-/l*_binary64`
188×	`associate-/r*_binary64`
144×	`log-div_binary64`
143×	`log-prod_binary64`
136×	`associate-r_binary64`
129×	`cube-prod_binary64`
111×	`exp-prod_binary64`
110×	`associate-*r/_binary64`
88×	`neg-sub0_binary64`
84×	`associate-+r+_binary64`
82×	`sub-neg_binary64`
81×	`mul0-rgt_binary64`
67×	`distribute-rgt-neg-in_binary64`
63×	`cube-div_binary64`
57×	`swap-sqr_binary64`
49×	`div0_binary64`
44×	`unswap-sqr_binary64`
40×	`sqr-neg_binary64`
38×	`sqr-pow_binary64`
35×	`distribute-neg-in_binary64`
32×	`cancel-sign-sub-inv_binary64`
27×	`cube-neg_binary64`
26×	`log-pow_binary64` `unpow3_binary64`
25×	`associate-+l-_binary64`
24×	`+-commutative_binary64`
21×	`cube-mult_binary64`
19×	`cube-unmult_binary64`
18×	`associate-+r-_binary64`
16×	`associate-/r/_binary64` `associate--r+_binary64`
12×	`pow-plus_binary64` `exp-neg_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64`
11×	`distribute-neg-frac_binary64`
10×	`mul0-lft_binary64` `distribute-lft-neg-in_binary64`
9×	`exp-sum_binary64` `unsub-neg_binary64`
8×	`exp-diff_binary64` `/-rgt-identity_binary64`
7×	`pow-sqr_binary64` `associate--l+_binary64`
6×	`unpow1/2_binary64`
5×	`unpow2_binary64` `unpow1_binary64`
4×	`associate-/l/_binary64` `associate--l-_binary64`
3×	`*-rgt-identity_binary64`
2×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
1×	`log-rec_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `*-lft-identity_binary64` `distribute-neg-out_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `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` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_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-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`

Counts

846 → 802

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	809	10567
1	998	4390
2	2855	4278
3	3631	4278
4	4960	4278
5	4769	4278

prune1.4s (1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	801	1	802
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	802	6	808

Error

43.1b

Counts

808 → 6

Compiler

Compiled 21399 to 9636 computations (55% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

0.2b	(pow.f64 (*.f64 x-scale y-scale) 2)
13.8b	(.f64 (cbrt.f64 0) (pow.f64 (.f64 x-scale y-scale) 2))

rewrite78.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Error

42.4b

Rules

14×	`add-sqr-sqrt_binary64`
13×	`add-exp-log_binary64`
6×	`prod-exp_binary64` `add-cube-cbrt_binary64` `-un-lft-identity_binary64` `cbrt-prod_binary64` `unswap-sqr_binary64` `associate-l_binary64` `associate-r*_binary64`
5×	`pow1_binary64`
4×	`pow-exp_binary64` `unpow2_binary64` `sqr-pow_binary64`
3×	`add-cbrt-cube_binary64` `pow-unpow_binary64`
2×	`pow-to-exp_binary64` `add-log-exp_binary64` `unpow-prod-down_binary64` `pow-pow_binary64`
1×	`cbrt-unprod_binary64` `*-commutative_binary64` `pow-prod-down_binary64`

Counts

2 → 49

Calls

2 calls:

9.0ms	(.f64 (cbrt.f64 0) (pow.f64 (.f64 x-scale y-scale) 2))
4.0ms	(pow.f64 (*.f64 x-scale y-scale) 2)

Compiler

Compiled 797 to 579 computations (27.4% saved)

series121.0ms (0.1%)

Error

42.3b

Counts

2 → 12

Calls

2 calls:

95.0ms	(pow.f64 (*.f64 x-scale y-scale) 2)
15.0ms	(.f64 (cbrt.f64 0) (pow.f64 (.f64 x-scale y-scale) 2))

Compiler

Compiled 270 to 359 computations (-33% saved)

simplify94.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

470×	`log-prod_binary64`
467×	`unswap-sqr_binary64`
405×	`associate-l_binary64`
348×	`cube-prod_binary64`
319×	`associate-r_binary64`
318×	`exp-prod_binary64`
300×	`sqr-pow_binary64`
185×	`unpow3_binary64`
107×	`associate-/l*_binary64`
79×	`times-frac_binary64` `swap-sqr_binary64`
75×	`*-commutative_binary64`
68×	`cube-mult_binary64`
64×	`pow-sqr_binary64`
61×	`associate-/r*_binary64`
59×	`associate-+l+_binary64`
55×	`associate-+r+_binary64`
32×	`log-pow_binary64`
28×	`rem-sqrt-square_binary64`
25×	`-rgt-identity_binary64` `-lft-identity_binary64`
23×	`distribute-rgt-in_binary64`
21×	`associate-/l/_binary64`
18×	`cube-unmult_binary64`
17×	`distribute-lft-in_binary64`
16×	`associate-*r/_binary64`
13×	`pow-plus_binary64`
11×	`associate-/r/_binary64`
10×	`mul0-rgt_binary64` `+-commutative_binary64`
9×	`mul0-lft_binary64`
5×	`unpow1/2_binary64` `count-2_binary64`
4×	`/-rgt-identity_binary64` `distribute-lft-out_binary64`
3×	`unpow2_binary64` `unpow1_binary64` `distribute-rgt-out_binary64` `associate-*l/_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `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-div_binary64` `cube-neg_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` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_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` `difference-of-squares_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-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

61 → 43

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	678
1	121	633
2	326	633
3	1381	630
4	3406	630
5	4868	630
6	4840	630

prune44.0ms (0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	43	6	49

Error

42.3b

Counts

49 → 6

Compiler

Compiled 571 to 404 computations (29.2% saved)

regimes3.0s (2.1%)

Accuracy

Total 0.1b remaining (0.2%)

Threshold costs 0.1b (0.2%)

Compiler

Compiled 49772 to 32031 computations (35.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2× *-commutative_binary64

0× not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 unpow1_binary64 e-exp-1_binary64 1-exp_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	13	19
1	15	19
2	15	19

end0.0ms (0%)

sample1.3min (53.8%)

Algorithm

1×

intervals

Results

32.8s	3751×	body	4096	valid
27.0s	1491×	body	8192	valid
10.0s	1847×	body	2048	valid
1.9s	573×	body	1024	valid
440.0ms	206×	body	512	valid
189.0ms	31×	body	2048	invalid
149.0ms	44×	body	1024	invalid
125.0ms	94×	body	256	valid
45.0ms	20×	body	512	invalid
25.0ms	38×	body	128	valid
20.0ms	2×	body	4096	invalid
7.0ms	5×	body	256	invalid
7.0ms	10×	body	128	invalid

Compiler

Compiled 6299 to 4059 computations (35.6% saved)

Details

analyze17.5s (12.2%)

sample2.6s (1.8%)

simplify27.0ms (0%)

prune27.0ms (0%)

localize71.0ms (0%)

rewrite1.3s (0.9%)

series27.7s (19.3%)

simplify387.0ms (0.3%)

prune1.1s (0.8%)

localize63.0ms (0%)

rewrite583.0ms (0.4%)

series5.1s (3.5%)

simplify240.0ms (0.2%)

prune336.0ms (0.2%)

localize21.0ms (0%)

rewrite3.3s (2.3%)

series942.0ms (0.7%)

simplify404.0ms (0.3%)

prune1.4s (1%)

localize7.0ms (0%)

rewrite78.0ms (0.1%)

series121.0ms (0.1%)

simplify94.0ms (0.1%)

prune44.0ms (0%)

regimes3.0s (2.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.3min (53.8%)

Profiling