Details

analyze2.1s (16.3%)

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)

sample124.0ms (1%)

Algorithm

1×

intervals

Results

59.0ms	60×	body	1024	valid
29.0ms	155×	body	128	valid
18.0ms	30×	body	512	valid
4.0ms	11×	body	256	valid

Compiler

Compiled 57 to 38 computations (33.3% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
3.0b	(/.f64 (/.f64 eh ew) (tan.f64 t))
3.0b	(/.f64 (/.f64 eh ew) (tan.f64 t))
37.6b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite243.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

150×	`times-frac_binary64_2130`
89×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
26×	`associate-/l*_binary64_2069`
19×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
10×	`div-inv_binary64_2121`
9×	`pow1_binary64_2185`
6×	`div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `associate-/r*_binary64_2068`
4×	`add-log-exp_binary64_2163`
3×	`cos-atan_binary64_2303` `pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `associate-r_binary64_2064`
2×	`frac-2neg_binary64_2135` `clear-num_binary64_2123` `associate-/l/_binary64_2071` `tan-quot_binary64_2283` `associate-/r/_binary64_2070`
1×	`un-div-inv_binary64_2122` `associate-r/_binary64_2066` `associate-l_binary64_2065` `-commutative_binary64_2055`

Counts

4 → 170

Calls

4 calls:

11.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
8.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
6.0ms	(.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

Compiler

Compiled 6464 to 1262 computations (80.5% saved)

series1.2s (9.1%)

Error

0.1b

Counts

4 → 41

Calls

4 calls:

338.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
334.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
303.0ms	(.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
155.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

Compiler

Compiled 3674 to 1730 computations (52.9% saved)

simplify90.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4966	4099
1	4966	4099

prune225.0ms (1.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	208	3	211
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	208	4	212

Error

0.1b

Counts

212 → 4

Compiler

Compiled 7568 to 1228 computations (83.8% saved)

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

3.1b	(/.f64 eh (*.f64 ew (tan.f64 t)))
37.6b	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
37.6b	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
37.6b	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))

rewrite87.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

9×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
6×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
4×	`pow1_binary64_2185` `add-log-exp_binary64_2163`
3×	`cos-atan_binary64_2303` `times-frac_binary64_2130` `associate-/l*_binary64_2069`
2×	`div-exp_binary64_2175` `cbrt-undiv_binary64_2158`
1×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121` `tan-quot_binary64_2283` `associate-r/_binary64_2066` `associate-/r/_binary64_2070` `associate-/r_binary64_2068`

Counts

4 → 46

Calls

4 calls:

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

Compiler

Compiled 2582 to 403 computations (84.4% saved)

series843.0ms (6.6%)

Error

0.1b

Counts

4 → 37

Calls

4 calls:

341.0ms	(/.f64 eh (*.f64 ew (tan.f64 t)))
159.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
155.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
150.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))

Compiler

Compiled 5491 to 1861 computations (66.1% saved)

simplify127.0ms (1%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4838	1186
1	4838	1186

prune112.0ms (0.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	83	4	87

Error

0.1b

Counts

87 → 4

Compiler

Compiled 4428 to 460 computations (89.6% saved)

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

13.4b	(cbrt.f64 (.f64 (cos.f64 (atan.f64 (/.f64 eh (.f64 ew (tan.f64 t))))) (*.f64 ew (sin.f64 t))))
37.6b	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
37.6b	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
37.6b	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))

rewrite70.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

4×	`cos-atan_binary64_2303` `pow1_binary64_2185` `add-log-exp_binary64_2163` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
1×	`pow1/3_binary64_2206` `associate-*l/_binary64_2067` `cbrt-div_binary64_2156` `cbrt-prod_binary64_2155`

Counts

4 → 34

Calls

4 calls:

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

Compiler

Compiled 2315 to 233 computations (89.9% saved)

series1.2s (9.7%)

Error

0.1b

Counts

4 → 36

Calls

4 calls:

697.0ms	(cbrt.f64 (.f64 (cos.f64 (atan.f64 (/.f64 eh (.f64 ew (tan.f64 t))))) (*.f64 ew (sin.f64 t))))
176.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
164.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
162.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))

Compiler

Compiled 6477 to 1867 computations (71.2% saved)

simplify108.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4837	1264
1	4837	1264

prune106.0ms (0.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	69	5	74

Error

0.1b

Counts

74 → 5

Compiler

Compiled 4485 to 310 computations (93.1% saved)

localize44.0ms (0.3%)

Local error

Found 4 expressions with local error:

37.6b	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
37.6b	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
37.6b	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
37.6b	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))

rewrite86.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

4×	`cos-atan_binary64_2303` `pow1_binary64_2185` `add-log-exp_binary64_2163` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`

Counts

4 → 32

Calls

4 calls:

2.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
2.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
2.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
2.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))

Compiler

Compiled 3220 to 291 computations (91% saved)

series783.0ms (6.1%)

Error

0.1b

Counts

4 → 36

Calls

4 calls:

186.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
185.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
182.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
171.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))

Compiler

Compiled 9936 to 2117 computations (78.7% saved)

simplify179.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (163.0ms)

Iter	Nodes	Cost
0	4922	1060
1	4922	1060

prune136.0ms (1.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	68	5	73

Error

0.1b

Counts

73 → 5

Compiler

Compiled 6468 to 311 computations (95.2% saved)

regimes305.0ms (2.4%)

Accuracy

Total 0.0b remaining (20.8%)

Threshold costs 0.0b (20.8%)

Compiler

Compiled 4881 to 2249 computations (53.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	46
1	23	46

end0.0ms (0%)

sample4.6s (35.6%)

Algorithm

1×

intervals

Results

2.0s	2023×	body	1024	valid
836.0ms	4510×	body	128	valid
568.0ms	1001×	body	512	valid
164.0ms	455×	body	256	valid
20.0ms	11×	body	2048	valid

Compiler

Compiled 1010 to 471 computations (53.4% saved)

Details

analyze2.1s (16.3%)

sample124.0ms (1%)

simplify8.0ms (0.1%)

prune4.0ms (0%)

localize21.0ms (0.2%)

rewrite243.0ms (1.9%)

series1.2s (9.1%)

simplify90.0ms (0.7%)

prune225.0ms (1.7%)

localize34.0ms (0.3%)

rewrite87.0ms (0.7%)

series843.0ms (6.6%)

simplify127.0ms (1%)

prune112.0ms (0.9%)

localize33.0ms (0.3%)

rewrite70.0ms (0.5%)

series1.2s (9.7%)

simplify108.0ms (0.8%)

prune106.0ms (0.8%)

localize44.0ms (0.3%)

rewrite86.0ms (0.7%)

series783.0ms (6.1%)

simplify179.0ms (1.4%)

prune136.0ms (1.1%)

regimes305.0ms (2.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.6s (35.6%)

Profiling