Details

analyze2.6s (15.8%)

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 (0.8%)

Algorithm

1×

intervals

Results

55.0ms	56×	body	1024	valid
30.0ms	144×	body	128	valid
23.0ms	30×	body	512	valid
9.0ms	25×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 57 to 38 computations (33.3% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	44	46
1	44	46

prune7.0ms (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)

localize24.0ms (0.1%)

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)))))
2.1b	(/.f64 (/.f64 eh ew) (tan.f64 t))
2.1b	(/.f64 (/.f64 eh ew) (tan.f64 t))
37.2b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite288.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

150×	`times-frac_binary64_1789`
89×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
26×	`associate-/l*_binary64_1728`
19×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
10×	`div-inv_binary64_1780`
9×	`pow1_binary64_1844`
6×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `associate-/r*_binary64_1727`
4×	`add-log-exp_binary64_1822`
3×	`cos-atan_binary64_1962` `pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `associate-r_binary64_1723`
2×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `associate-/l/_binary64_1730` `tan-quot_binary64_1942` `associate-/r/_binary64_1729`
1×	`un-div-inv_binary64_1781` `associate-r/_binary64_1725` `associate-l_binary64_1724` `-commutative_binary64_1714`

Counts

4 → 170

Calls

4 calls:

22.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
12.0ms	(.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
9.0ms	(/.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)

series1.4s (8.7%)

Error

0.1b

Counts

4 → 41

Calls

4 calls:

410.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
407.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
358.0ms	(.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
185.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

Compiler

Compiled 3674 to 1730 computations (52.9% saved)

simplify106.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4966	4099
1	4966	4099

prune292.0ms (1.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	207	4	211
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	208	4	212

Error

0.1b

Counts

212 → 4

Compiler

Compiled 7594 to 1250 computations (83.5% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t))))) 3))
2.1b	(/.f64 (/.f64 eh ew) (tan.f64 t))
2.3b	(/.f64 eh (*.f64 ew (tan.f64 t)))
37.2b	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))

rewrite229.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

78×	`times-frac_binary64_1789`
51×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
16×	`associate-/l*_binary64_1728`
14×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
12×	`cbrt-prod_binary64_1814`
6×	`div-inv_binary64_1780`
5×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817`
4×	`pow1_binary64_1844` `add-log-exp_binary64_1822` `associate-/r*_binary64_1727`
3×	`unpow-prod-down_binary64_1862` `cube-prod_binary64_1811`
2×	`cos-atan_binary64_1962` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `tan-quot_binary64_1942` `associate-/r/_binary64_1729`
1×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `associate-*r/_binary64_1725` `associate-/l/_binary64_1730` `pow1/3_binary64_1865` `cube-div_binary64_1812` `cbrt-div_binary64_1815` `unpow3_binary64_1849` `cube-mult_binary64_1813` `sqr-pow_binary64_1755` `rem-cbrt-cube_binary64_1807`

Counts

4 → 123

Calls

4 calls:

10.0ms	(/.f64 eh (*.f64 ew (tan.f64 t)))
7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
3.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
3.0ms	(cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t))))) 3))

Compiler

Compiled 4982 to 1461 computations (70.7% saved)

series1.3s (8%)

Error

0.1b

Counts

4 → 38

Calls

4 calls:

438.0ms	(/.f64 eh (*.f64 ew (tan.f64 t)))
417.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
195.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
186.0ms	(cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t))))) 3))

Compiler

Compiled 3593 to 1934 computations (46.2% saved)

simplify117.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4913	2805
1	4913	2805

prune232.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	161	4	165

Error

0.1b

Counts

165 → 4

Compiler

Compiled 6031 to 1520 computations (74.8% saved)

localize42.0ms (0.3%)

Local error

Found 4 expressions with local error:

11.5b	(cbrt.f64 (.f64 (cos.f64 (atan.f64 (/.f64 eh (.f64 ew (tan.f64 t))))) (*.f64 ew (sin.f64 t))))
37.2b	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
37.2b	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
37.2b	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))

rewrite90.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

4×	`cos-atan_binary64_1962` `pow1_binary64_1844` `add-log-exp_binary64_1822` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
1×	`pow1/3_binary64_1865` `associate-*l/_binary64_1726` `cbrt-div_binary64_1815` `cbrt-prod_binary64_1814`

Counts

4 → 34

Calls

4 calls:

4.0ms	(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)

series1.4s (8.9%)

Error

0.1b

Counts

4 → 36

Calls

4 calls:

781.0ms	(cbrt.f64 (.f64 (cos.f64 (atan.f64 (/.f64 eh (.f64 ew (tan.f64 t))))) (*.f64 ew (sin.f64 t))))
206.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
206.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
176.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))

Compiler

Compiled 6477 to 1867 computations (71.2% saved)

simplify116.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4837	1264
1	4837	1264

prune118.0ms (0.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

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

Error

0.1b

Counts

74 → 5

Compiler

Compiled 4529 to 332 computations (92.7% saved)

localize59.0ms (0.4%)

Local error

Found 4 expressions with local error:

37.2b	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
37.2b	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
37.2b	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
37.2b	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))

rewrite108.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

4×	`cos-atan_binary64_1962` `pow1_binary64_1844` `add-log-exp_binary64_1822` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`

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)

series1.0s (6.3%)

Error

0.1b

Counts

4 → 36

Calls

4 calls:

300.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
214.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
206.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
205.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))

Compiler

Compiled 9936 to 2117 computations (78.7% saved)

simplify255.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (224.0ms)

Iter	Nodes	Cost
0	4922	1060
1	4922	1060

prune162.0ms (1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	68	5	73

Error

0.1b

Counts

73 → 5

Compiler

Compiled 6468 to 311 computations (95.2% saved)

regimes360.0ms (2.2%)

Accuracy

Total 0.0b remaining (22%)

Threshold costs 0.0b (22%)

Compiler

Compiled 4581 to 2329 computations (49.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	75
1	32	75

end0.0ms (0%)

sample5.6s (35%)

Algorithm

1×

intervals

Results

2.3s	1997×	body	1024	valid
1.0s	4468×	body	128	valid
766.0ms	1012×	body	512	valid
250.0ms	511×	body	256	valid
22.0ms	12×	body	2048	valid

Compiler

Compiled 967 to 499 computations (48.4% saved)

Details

analyze2.6s (15.8%)

sample135.0ms (0.8%)

simplify11.0ms (0.1%)

prune7.0ms (0%)

localize24.0ms (0.1%)

rewrite288.0ms (1.8%)

series1.4s (8.7%)

simplify106.0ms (0.7%)

prune292.0ms (1.8%)

localize32.0ms (0.2%)

rewrite229.0ms (1.4%)

series1.3s (8%)

simplify117.0ms (0.7%)

prune232.0ms (1.4%)

localize42.0ms (0.3%)

rewrite90.0ms (0.6%)

series1.4s (8.9%)

simplify116.0ms (0.7%)

prune118.0ms (0.7%)

localize59.0ms (0.4%)

rewrite108.0ms (0.7%)

series1.0s (6.3%)

simplify255.0ms (1.6%)

prune162.0ms (1%)

regimes360.0ms (2.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample5.6s (35%)

Profiling