Details

analyze18.1s (16.1%)

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)

sample2.5s (2.2%)

Algorithm

1×

intervals

Results

1.2s	111×	body	4096	valid
853.0ms	47×	body	8192	valid
339.0ms	66×	body	2048	valid
50.0ms	17×	body	1024	valid
15.0ms	7×	body	512	valid
6.0ms	5×	body	256	valid
4.0ms	1×	body	2048	invalid
4.0ms	2×	body	512	invalid
3.0ms	1×	body	1024	invalid
2.0ms	3×	body	128	valid

Compiler

Compiled 367 to 254 computations (30.8% saved)

simplify28.0ms (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

prune14.0ms (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)

localize92.0ms (0.1%)

Local error

Found 4 expressions with local error:

25.4b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
25.4b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
25.4b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
36.6b	(-.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))))

rewrite766.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

63.9b

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:

284.0ms	(-.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))))
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 13844 to 8490 computations (38.7% saved)

series3.8s (3.4%)

Error

63.6b

Counts

4 → 26

Calls

4 calls:

3.6s	(-.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))))
28.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
25.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

Compiler

Compiled 22390 to 15365 computations (31.4% saved)

simplify327.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

314×	`unswap-sqr_binary64`
299×	`cancel-sign-sub-inv_binary64`
217×	`times-frac_binary64`
194×	`associate-/l*_binary64`
174×	`sub-neg_binary64`
163×	`+-commutative_binary64`
149×	`associate-r_binary64`
140×	`associate-/r*_binary64`
130×	`*-commutative_binary64`
122×	`associate-+r+_binary64`
120×	`associate-l_binary64`
113×	`associate-+l+_binary64`
110×	`distribute-neg-frac_binary64`
93×	`associate-*r/_binary64`
85×	`associate-*l/_binary64`
77×	`neg-mul-1_binary64`
76×	`sqr-pow_binary64`
75×	`neg-sub0_binary64`
63×	`associate--l+_binary64`
54×	`distribute-rgt-in_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`
16×	`unpow3_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`
10×	`distribute-rgt-out_binary64`
9×	`exp-sum_binary64` `cube-unmult_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` `associate-+l-_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `rem-3cbrt-lft_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` `/-rgt-identity_binary64` `-rgt-identity_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

79 → 62

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	323	17196
1	935	16314
2	3566	16296
3	5048	16296

prune503.0ms (0.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	57	5	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	5	63

Error

63.6b

Counts

63 → 5

Compiler

Compiled 12838 to 7465 computations (41.9% saved)

localize79.0ms (0.1%)

Local error

Found 4 expressions with local error:

25.3b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
25.3b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
25.3b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
31.2b	(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 2) (.f64 b b)) (.f64 x-scale x-scale)) (/.f64 (.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) 2)) (.f64 y-scale y-scale))) (sqrt.f64 (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) 4) (pow.f64 b 4)) (pow.f64 y-scale 4)) (+.f64 (/.f64 (.f64 (pow.f64 b 4) (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 4)) (pow.f64 x-scale 4)) (.f64 2 (/.f64 (.f64 (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) (pow.f64 b 4))) (.f64 (.f64 x-scale x-scale) (.f64 y-scale y-scale))))))))

rewrite710.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

63.6b

Rules

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

Counts

4 → 60

Calls

4 calls:

52.0ms	(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 2) (.f64 b b)) (.f64 x-scale x-scale)) (/.f64 (.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) 2)) (.f64 y-scale y-scale))) (sqrt.f64 (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) 4) (pow.f64 b 4)) (pow.f64 y-scale 4)) (+.f64 (/.f64 (.f64 (pow.f64 b 4) (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 4)) (pow.f64 x-scale 4)) (.f64 2 (/.f64 (.f64 (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) (pow.f64 b 4))) (.f64 (.f64 x-scale x-scale) (.f64 y-scale y-scale))))))))
3.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
3.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
3.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

Compiler

Compiled 15117 to 8187 computations (45.8% saved)

series1.0s (0.9%)

Error

60.7b

Counts

4 → 21

Calls

4 calls:

908.0ms	(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 2) (.f64 b b)) (.f64 x-scale x-scale)) (/.f64 (.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) 2)) (.f64 y-scale y-scale))) (sqrt.f64 (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) 4) (pow.f64 b 4)) (pow.f64 y-scale 4)) (+.f64 (/.f64 (.f64 (pow.f64 b 4) (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 4)) (pow.f64 x-scale 4)) (.f64 2 (/.f64 (.f64 (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) (pow.f64 b 4))) (.f64 (.f64 x-scale x-scale) (.f64 y-scale y-scale))))))))
25.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
23.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
22.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

Compiler

Compiled 5787 to 3562 computations (38.4% saved)

simplify307.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

373×	`unswap-sqr_binary64`
269×	`associate-r_binary64`
261×	`associate-l_binary64`
193×	`*-commutative_binary64`
175×	`cube-prod_binary64`
128×	`associate-*r/_binary64`
124×	`cube-div_binary64`
118×	`distribute-rgt-in_binary64`
116×	`sub-neg_binary64`
115×	`associate-*l/_binary64`
113×	`times-frac_binary64`
110×	`distribute-lft-in_binary64`
103×	`sqr-pow_binary64`
99×	`neg-mul-1_binary64`
97×	`neg-sub0_binary64`
96×	`associate-/l*_binary64`
71×	`+-commutative_binary64`
70×	`cancel-sign-sub-inv_binary64`
64×	`distribute-rgt-neg-in_binary64`
63×	`associate-/r*_binary64`
47×	`unpow3_binary64`
43×	`cube-mult_binary64`
40×	`distribute-lft-neg-in_binary64`
31×	`associate-+l+_binary64`
25×	`distribute-lft-neg-out_binary64` `associate-+r+_binary64`
22×	`exp-prod_binary64`
19×	`distribute-neg-frac_binary64`
17×	`unsub-neg_binary64`
15×	`associate--l+_binary64` `associate--r+_binary64`
14×	`distribute-neg-in_binary64`
12×	`associate-/r/_binary64`
9×	`exp-sum_binary64`
8×	`difference-of-squares_binary64`
7×	`unpow2_binary64` `unpow1_binary64`
6×	`cube-unmult_binary64` `pow-sqr_binary64` `associate-+r-_binary64`
5×	`unpow1/2_binary64` `div-exp_binary64` `exp-diff_binary64` `swap-sqr_binary64`
4×	`rem-sqrt-square_binary64` `distribute-rgt-out--_binary64`
3×	`pow-plus_binary64` `+-rgt-identity_binary64` `+-inverses_binary64` `associate-+l-_binary64`
2×	`rem-square-sqrt_binary64` `mul0-rgt_binary64` `distribute-rgt-neg-out_binary64`
1×	`log-pow_binary64` `log-prod_binary64` `prod-exp_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `remove-double-neg_binary64` `mul0-lft_binary64` `distribute-rgt-out_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-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_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-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

81 → 52

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	267	16727
1	796	15048
2	3571	14961
3	5011	14961

prune475.0ms (0.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	52	5	57

Error

62.2b

Counts

57 → 5

Compiler

Compiled 10758 to 6129 computations (43% saved)

localize22.0ms (0%)

Local error

Found 4 expressions with local error:

19.8b	(/.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 (pow.f64 angle 4) 0)))) (.f64 (.f64 b a) (.f64 b (neg.f64 a))))
20.0b	(*.f64 (pow.f64 angle 4) 0)
20.5b	(.f64 (/.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 (pow.f64 angle 4) 0)))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 x-scale y-scale) 2))
20.5b	(.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 (pow.f64 angle 4) 0)))

rewrite5.4s (4.8%)

Algorithm

1×	rewrite-expression-head

Error

59.7b

Rules

4616×	`add-exp-log_binary64`
3831×	`prod-exp_binary64`
973×	`add-cbrt-cube_binary64`
771×	`cbrt-unprod_binary64`
445×	`div-exp_binary64`
353×	`pow-exp_binary64`
242×	`pow-to-exp_binary64`
232×	`pow1_binary64`
192×	`pow-prod-down_binary64`
65×	`cbrt-undiv_binary64`
21×	`add-sqr-sqrt_binary64`
16×	`associate-l_binary64`
12×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
10×	`associate-r_binary64`
8×	`times-frac_binary64`
6×	`distribute-rgt-neg-out_binary64` `unswap-sqr_binary64`
5×	`associate-*l/_binary64` `unpow-prod-down_binary64`
4×	`add-log-exp_binary64` `sqr-pow_binary64` `associate-/l*_binary64`
3×	`*-commutative_binary64` `sqrt-prod_binary64`
2×	`distribute-lft-neg-out_binary64` `unpow2_binary64` `div-inv_binary64`
1×	`mul0-rgt_binary64` `frac-2neg_binary64` `clear-num_binary64` `sqrt-div_binary64` `associate-/l/_binary64` `associate-/r*_binary64`

Counts

4 → 828

Calls

4 calls:

44.0ms	(.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 (pow.f64 angle 4) 0)))
36.0ms	(.f64 (/.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 (pow.f64 angle 4) 0)))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 x-scale y-scale) 2))
35.0ms	(/.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 (pow.f64 angle 4) 0)))) (.f64 (.f64 b a) (.f64 b (neg.f64 a))))
5.0ms	(*.f64 (pow.f64 angle 4) 0)

Compiler

Compiled 41661 to 15179 computations (63.6% saved)

series108.0ms (0.1%)

Error

42.3b

Counts

4 → 48

Calls

4 calls:

32.0ms	(.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 (pow.f64 angle 4) 0)))
30.0ms	(/.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 (pow.f64 angle 4) 0)))) (.f64 (.f64 b a) (.f64 b (neg.f64 a))))
28.0ms	(.f64 (/.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 (pow.f64 angle 4) 0)))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 x-scale y-scale) 2))
7.0ms	(*.f64 (pow.f64 angle 4) 0)

Compiler

Compiled 1276 to 1332 computations (-4.4% saved)

simplify456.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

584×	`associate-/l/_binary64`
563×	`*-commutative_binary64`
374×	`associate-+l+_binary64`
368×	`log-prod_binary64`
312×	`distribute-rgt-neg-out_binary64`
289×	`neg-mul-1_binary64` `associate-*l/_binary64`
266×	`neg-sub0_binary64`
207×	`times-frac_binary64`
184×	`associate-/r*_binary64`
177×	`associate-l_binary64`
172×	`exp-prod_binary64`
171×	`div-sub_binary64`
141×	`associate-/l*_binary64`
139×	`distribute-lft-neg-out_binary64`
138×	`log-div_binary64` `cube-prod_binary64`
129×	`associate-r_binary64`
127×	`distribute-frac-neg_binary64`
118×	`unsub-neg_binary64`
116×	`associate-+r+_binary64`
98×	`cube-div_binary64`
92×	`associate-*r/_binary64`
89×	`mul0-rgt_binary64`
79×	`swap-sqr_binary64`
61×	`sub-neg_binary64`
55×	`distribute-rgt-in_binary64`
52×	`distribute-lft-neg-in_binary64`
46×	`+-commutative_binary64`
43×	`unpow3_binary64` `sqr-pow_binary64` `distribute-rgt-neg-in_binary64`
40×	`cube-mult_binary64` `div0_binary64`
37×	`distribute-neg-in_binary64`
36×	`sqr-neg_binary64` `distribute-lft-in_binary64`
35×	`associate-+l-_binary64`
28×	`unswap-sqr_binary64`
22×	`log-pow_binary64` `cube-neg_binary64`
21×	`cube-unmult_binary64`
18×	`exp-neg_binary64`
16×	`exp-sum_binary64`
15×	`associate--r+_binary64`
14×	`associate-/r/_binary64`
12×	`mul0-lft_binary64` `cancel-sign-sub-inv_binary64`
10×	`remove-double-neg_binary64`
9×	`log-rec_binary64` `distribute-neg-frac_binary64`
8×	`exp-diff_binary64`
7×	`unpow1/2_binary64`
6×	`pow-plus_binary64` `rem-sqrt-square_binary64` `count-2_binary64`
5×	`unpow2_binary64` `unpow1_binary64`
4×	`*-rgt-identity_binary64` `pow-sqr_binary64` `associate--l+_binary64` `associate-+r-_binary64`
2×	`rem-square-sqrt_binary64` `*-lft-identity_binary64` `distribute-rgt-out_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `/-rgt-identity_binary64` `distribute-lft-out_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-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

876 → 813

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	744	26886
1	1027	3906
2	2593	3890
3	3479	3890
4	4894	3890
5	4625	3890

prune133.0ms (0.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	812	1	813
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	814	4	818

Error

42.3b

Counts

818 → 4

Compiler

Compiled 3009 to 1430 computations (52.5% saved)

localize3.0ms (0%)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

42.3b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 42.3b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Rules

0× not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 1-exp_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 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 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_binary64 cancel-sign-sub-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-*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 +-commutative_binary64

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune1.0ms (0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	1	1
Done	0	0
Total	4	4

Error

42.3b

Counts

4 → 4

Compiler

Compiled 0 to 0 computations (0% saved)

regimes3.2s (2.9%)

Accuracy

Total 1.0b remaining (2.2%)

Threshold costs 1.0b (2.2%)

Compiler

Compiled 93024 to 58162 computations (37.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1× *-commutative_binary64

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	6	6
2	6	6

end1.0ms (0%)

Compiler: Compiled 4 to 9 computations (-125% saved)

sample1.2min (66.1%)

Algorithm

1×

intervals

Results

32.7s	3642×	body	4096	valid
26.1s	1424×	body	8192	valid
10.7s	1948×	body	2048	valid
2.0s	605×	body	1024	valid
510.0ms	235×	body	512	valid
271.0ms	45×	body	2048	invalid
115.0ms	87×	body	256	valid
96.0ms	27×	body	1024	invalid
39.0ms	59×	body	128	valid
35.0ms	16×	body	512	invalid
29.0ms	3×	body	4096	invalid
6.0ms	5×	body	256	invalid
2.0ms	4×	body	128	invalid

Compiler

Compiled 856 to 579 computations (32.4% saved)

Details

analyze18.1s (16.1%)

sample2.5s (2.2%)

simplify28.0ms (0%)

prune14.0ms (0%)

localize92.0ms (0.1%)

rewrite766.0ms (0.7%)

series3.8s (3.4%)

simplify327.0ms (0.3%)

prune503.0ms (0.4%)

localize79.0ms (0.1%)

rewrite710.0ms (0.6%)

series1.0s (0.9%)

simplify307.0ms (0.3%)

prune475.0ms (0.4%)

localize22.0ms (0%)

rewrite5.4s (4.8%)

series108.0ms (0.1%)

simplify456.0ms (0.4%)

prune133.0ms (0.1%)

localize3.0ms (0%)

rewrite1.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0%)

prune1.0ms (0%)

regimes3.2s (2.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end1.0ms (0%)

sample1.2min (66.1%)

Profiling