Details

analyze3.5s (16.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	184
1	161	184
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
9.4%	90.5%	0.1%	7
14%	85.8%	0.1%	8
16.4%	83.5%	0.1%	9
24.6%	75.3%	0.1%	10
28.7%	71.2%	0.1%	11
30.7%	69.1%	0.1%	12
35.8%	64%	0.1%	13
38.4%	61.5%	0.1%	14

Compiler

Compiled 29 to 18 computations (37.9% saved)

sample135.0ms (0.6%)

Algorithm

1×

intervals

Results

59.0ms	56×	body	1024	valid
33.0ms	155×	body	128	valid
20.0ms	30×	body	512	valid
7.0ms	15×	body	256	valid

Compiler

Compiled 57 to 38 computations (33.3% saved)

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	44	46
1	44	46

prune4.0ms (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

0.1b

Counts

2 → 1

Compiler

Compiled 56 to 34 computations (39.3% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
2.2b	(/.f64 (/.f64 eh ew) (tan.f64 t))
2.2b	(/.f64 (/.f64 eh ew) (tan.f64 t))
34.8b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite349.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

150×	`times-frac_binary64_1107`
89×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
26×	`associate-/l*_binary64_1046`
19×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
10×	`div-inv_binary64_1098`
9×	`pow1_binary64_1162`
6×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `associate-/r*_binary64_1045`
4×	`add-log-exp_binary64_1140`
3×	`cos-atan_binary64_1280` `pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `associate-r_binary64_1041`
2×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l/_binary64_1048` `tan-quot_binary64_1260` `associate-/r/_binary64_1047`
1×	`un-div-inv_binary64_1099` `associate-r/_binary64_1043` `associate-l_binary64_1042` `-commutative_binary64_1032`

Counts

4 → 170

Calls

4 calls:

15.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
13.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
11.0ms	(.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
3.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

Compiler

Compiled 6464 to 1262 computations (80.5% saved)

series1.8s (8.4%)

Error

0.1b

Counts

4 → 38

Calls

4 calls:

537.0ms	(.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
510.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
473.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
188.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

Compiler

Compiled 3377 to 1619 computations (52.1% saved)

simplify205.0ms (1%)

Algorithm

1×	egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 0 (122.0ms)

Iter	Nodes	Cost
0	5008	3997

prune370.0ms (1.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	204	4	208
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	205	4	209

Error

0.1b

Counts

209 → 4

Compiler

Compiled 7472 to 1208 computations (83.8% saved)

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.9b	(.f64 ew (.f64 (cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t))))) (sin.f64 t)))
2.2b	(/.f64 (/.f64 eh ew) (tan.f64 t))
2.8b	(/.f64 eh (*.f64 ew (tan.f64 t)))
34.8b	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))

rewrite247.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

78×	`times-frac_binary64_1107`
49×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
19×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
16×	`associate-/l*_binary64_1046`
9×	`pow1_binary64_1162`
6×	`div-inv_binary64_1098`
5×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
4×	`add-log-exp_binary64_1140` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `associate-/r*_binary64_1045`
3×	`pow-prod-down_binary64_1172` `associate-l_binary64_1042`
2×	`cos-atan_binary64_1280` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `tan-quot_binary64_1260` `associate-*r/_binary64_1043` `associate-/r/_binary64_1047`
1×	`associate-/l/_binary64_1048` `associate-l/_binary64_1044` `associate-r_binary64_1041` `-commutative_binary64_1032`

Counts

4 → 120

Calls

4 calls:

7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
6.0ms	(.f64 ew (.f64 (cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t))))) (sin.f64 t)))
5.0ms	(/.f64 eh (*.f64 ew (tan.f64 t)))
2.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))

Compiler

Compiled 4441 to 987 computations (77.8% saved)

series1.6s (7.5%)

Error

0.1b

Counts

4 → 38

Calls

4 calls:

455.0ms	(/.f64 eh (*.f64 ew (tan.f64 t)))
427.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
416.0ms	(.f64 ew (.f64 (cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t))))) (sin.f64 t)))
239.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))

Compiler

Compiled 3377 to 1619 computations (52.1% saved)

simplify149.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	5027	2824

prune233.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	156	2	158
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	158	4	162

Error

0.1b

Counts

162 → 4

Compiler

Compiled 5448 to 959 computations (82.4% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.0b	(.f64 (cbrt.f64 ew) (.f64 (cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t))))) (sin.f64 t)))
2.2b	(/.f64 (/.f64 eh ew) (tan.f64 t))
2.8b	(/.f64 eh (*.f64 ew (tan.f64 t)))
34.8b	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))

rewrite317.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

78×	`times-frac_binary64_1107`
50×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
19×	`add-exp-log_binary64_1139`
17×	`add-cbrt-cube_binary64_1137`
16×	`associate-/l*_binary64_1046`
9×	`pow1_binary64_1162`
6×	`div-inv_binary64_1098` `associate-l_binary64_1042`
5×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
4×	`add-log-exp_binary64_1140` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `associate-/r*_binary64_1045`
3×	`pow-prod-down_binary64_1172` `cbrt-prod_binary64_1132`
2×	`cos-atan_binary64_1280` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `tan-quot_binary64_1260` `associate-*r/_binary64_1043` `associate-/r/_binary64_1047`
1×	`associate-/l/_binary64_1048` `associate-l/_binary64_1044` `associate-r_binary64_1041` `-commutative_binary64_1032`

Counts

4 → 123

Calls

4 calls:

14.0ms	(.f64 (cbrt.f64 ew) (.f64 (cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t))))) (sin.f64 t)))
12.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
5.0ms	(/.f64 eh (*.f64 ew (tan.f64 t)))
2.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))

Compiler

Compiled 5400 to 1058 computations (80.4% saved)

series1.9s (9.1%)

Error

0.1b

Counts

4 → 38

Calls

4 calls:

658.0ms	(.f64 (cbrt.f64 ew) (.f64 (cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t))))) (sin.f64 t)))
523.0ms	(/.f64 eh (*.f64 ew (tan.f64 t)))
476.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
213.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))

Compiler

Compiled 4213 to 1965 computations (53.4% saved)

simplify115.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5003	2920

prune261.0ms (1.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	160	1	161
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	160	5	165

Error

0.1b

Counts

165 → 5

Compiler

Compiled 6672 to 1067 computations (84% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.8b	(.f64 (.f64 (cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t))))) (sin.f64 t)) (cbrt.f64 (cbrt.f64 ew)))
2.2b	(/.f64 (/.f64 eh ew) (tan.f64 t))
2.8b	(/.f64 eh (*.f64 ew (tan.f64 t)))
34.8b	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))

rewrite300.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

78×	`times-frac_binary64_1107`
51×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
19×	`add-exp-log_binary64_1139`
17×	`add-cbrt-cube_binary64_1137`
16×	`associate-/l*_binary64_1046`
9×	`pow1_binary64_1162` `associate-r_binary64_1041` `cbrt-prod_binary64_1132`
6×	`div-inv_binary64_1098`
5×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
4×	`add-log-exp_binary64_1140` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `associate-/r*_binary64_1045`
3×	`pow-prod-down_binary64_1172`
2×	`cos-atan_binary64_1280` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `tan-quot_binary64_1260` `associate-/r/_binary64_1047` `associate-*l/_binary64_1044`
1×	`associate-r/_binary64_1043` `associate-/l/_binary64_1048` `associate-l_binary64_1042` `-commutative_binary64_1032`

Counts

4 → 126

Calls

4 calls:

16.0ms	(.f64 (.f64 (cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t))))) (sin.f64 t)) (cbrt.f64 (cbrt.f64 ew)))
13.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
11.0ms	(/.f64 eh (*.f64 ew (tan.f64 t)))
3.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))

Compiler

Compiled 6543 to 1142 computations (82.5% saved)

series1.8s (8.7%)

Error

0.1b

Counts

4 → 38

Calls

4 calls:

647.0ms	(.f64 (.f64 (cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t))))) (sin.f64 t)) (cbrt.f64 (cbrt.f64 ew)))
494.0ms	(/.f64 eh (*.f64 ew (tan.f64 t)))
428.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
199.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))

Compiler

Compiled 5086 to 2188 computations (57% saved)

simplify145.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	5126	3093

prune366.0ms (1.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	163	1	164
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	164	5	169

Error

0.1b

Counts

169 → 5

Compiler

Compiled 8015 to 1105 computations (86.2% saved)

regimes586.0ms (2.8%)

Accuracy

Total 0.0b remaining (36.2%)

Threshold costs 0.0b (36.2%)

Compiler

Compiled 4836 to 2839 computations (41.3% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	46
1	27	46

end0.0ms (0%)

sample6.5s (31%)

Algorithm

1×

intervals

Results

2.7s	2038×	body	1024	valid
1.2s	4475×	body	128	valid
864.0ms	1014×	body	512	valid
240.0ms	465×	body	256	valid
15.0ms	8×	body	2048	valid

Compiler

Compiled 1001 to 592 computations (40.9% saved)

Details

analyze3.5s (16.5%)

sample135.0ms (0.6%)

simplify9.0ms (0%)

prune4.0ms (0%)

localize36.0ms (0.2%)

rewrite349.0ms (1.7%)

series1.8s (8.4%)

simplify205.0ms (1%)

prune370.0ms (1.8%)

localize44.0ms (0.2%)

rewrite247.0ms (1.2%)

series1.6s (7.5%)

simplify149.0ms (0.7%)

prune233.0ms (1.1%)

localize30.0ms (0.1%)

rewrite317.0ms (1.5%)

series1.9s (9.1%)

simplify115.0ms (0.5%)

prune261.0ms (1.2%)

localize36.0ms (0.2%)

rewrite300.0ms (1.4%)

series1.8s (8.7%)

simplify145.0ms (0.7%)

prune366.0ms (1.7%)

regimes586.0ms (2.8%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample6.5s (31%)

Profiling