Details

analyze1.9s (13.8%)

Algorithm

1×

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)

sample109.0ms (0.8%)

Algorithm

1×

intervals

Results

47.0ms	57×	body	1024	valid
26.0ms	148×	body	128	valid
20.0ms	38×	body	512	valid
5.0ms	13×	body	256	valid

Compiler

Compiled 57 to 38 computations (33.3% saved)

simplify98.0ms (0.7%)

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)

localize21.0ms (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)))))
2.9b	(/.f64 (/.f64 eh ew) (tan.f64 t))
2.9b	(/.f64 (/.f64 eh ew) (tan.f64 t))
31.8b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite49.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`times-frac_binary64_1448`
89×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
26×	`associate-/l*_binary64_1387`
19×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
10×	`div-inv_binary64_1439`
9×	`pow1_binary64_1503`
6×	`cbrt-undiv_binary64_1476` `associate-/r*_binary64_1386` `div-exp_binary64_1493`
4×	`add-log-exp_binary64_1481`
3×	`associate-r_binary64_1382` `cbrt-unprod_binary64_1475` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cos-atan_binary64_1621`
2×	`associate-/l/_binary64_1389` `associate-/r/_binary64_1388` `clear-num_binary64_1441` `frac-2neg_binary64_1453` `tan-quot_binary64_1601`
1×	`associate-r/_binary64_1384` `associate-l_binary64_1383` `-commutative_binary64_1373` `un-div-inv_binary64_1440`

Counts

4 → 170

Calls

4 calls:

8.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
8.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
7.0ms	(.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))))

series1.5s (10.7%)

Counts

4 → 41

Calls

4 calls:

441.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
438.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
429.0ms	(.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
207.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

Compiler

Compiled 2448 to 1722 computations (29.7% saved)

simplify95.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5013	4157

prune230.0ms (1.6%)

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 7640 to 1373 computations (82% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.9b	(/.f64 (/.f64 eh ew) (tan.f64 t))
2.9b	(/.f64 (/.f64 eh ew) (tan.f64 t))
31.8b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
31.8b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite42.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`times-frac_binary64_1448`
88×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
26×	`associate-/l*_binary64_1387`
14×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
10×	`div-inv_binary64_1439`
6×	`cbrt-undiv_binary64_1476` `associate-/r*_binary64_1386` `div-exp_binary64_1493`
4×	`add-log-exp_binary64_1481` `pow1_binary64_1503`
2×	`associate-/l/_binary64_1389` `associate-/r/_binary64_1388` `clear-num_binary64_1441` `frac-2neg_binary64_1453` `tan-quot_binary64_1601` `cos-atan_binary64_1621`

Counts

4 → 158

Calls

4 calls:

7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

series1.6s (11.4%)

Counts

4 → 38

Calls

4 calls:

512.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
458.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
422.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
223.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

Compiler

Compiled 3100 to 1900 computations (38.7% saved)

simplify121.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5010	3702

prune251.0ms (1.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	196	0	196
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	196	4	200

Error

0.1b

Counts

200 → 4

Compiler

Compiled 9234 to 1456 computations (84.2% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

10.0b	(cbrt.f64 (.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 ew (sin.f64 t))))
31.8b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
31.8b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
31.8b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite15.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-cbrt-cube_binary64_1478` `add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `add-sqr-sqrt_binary64_1464` `pow1_binary64_1503` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442` `cos-atan_binary64_1621`
1×	`cbrt-div_binary64_1474` `cbrt-prod_binary64_1473` `pow1/3_binary64_1524` `associate-*l/_binary64_1385`

Counts

4 → 34

Calls

4 calls:

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

series1.6s (11.2%)

Counts

4 → 39

Calls

4 calls:

913.0ms	(cbrt.f64 (.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 ew (sin.f64 t))))
228.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
223.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
223.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

Compiler

Compiled 4650 to 2158 computations (53.6% saved)

simplify83.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5000	1469

prune115.0ms (0.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	72	5	77

Error

0.1b

Counts

77 → 5

Compiler

Compiled 4762 to 580 computations (87.8% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.9b	(/.f64 (/.f64 eh ew) (tan.f64 t))
2.9b	(/.f64 (/.f64 eh ew) (tan.f64 t))
31.8b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
32.6b	(cbrt.f64 (pow.f64 (.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 ew (sin.f64 t))) 3))

rewrite42.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`times-frac_binary64_1448`
89×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
26×	`associate-/l*_binary64_1387`
14×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
10×	`div-inv_binary64_1439`
8×	`cbrt-prod_binary64_1473`
6×	`cbrt-undiv_binary64_1476` `associate-/r*_binary64_1386` `div-exp_binary64_1493`
4×	`add-log-exp_binary64_1481` `pow1_binary64_1503`
2×	`associate-/l/_binary64_1389` `associate-/r/_binary64_1388` `clear-num_binary64_1441` `frac-2neg_binary64_1453` `tan-quot_binary64_1601` `cos-atan_binary64_1621`
1×	`cube-mult_binary64_1472` `cbrt-div_binary64_1474` `cube-prod_binary64_1470` `sqr-pow_binary64_1414` `unpow3_binary64_1508` `pow1/3_binary64_1524` `cube-div_binary64_1471` `associate-*l/_binary64_1385` `unpow-prod-down_binary64_1521` `rem-cbrt-cube_binary64_1466`

Counts

4 → 168

Calls

4 calls:

8.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
8.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
4.0ms	(cbrt.f64 (pow.f64 (.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 ew (sin.f64 t))) 3))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

series1.6s (11.1%)

Counts

4 → 40

Calls

4 calls:

450.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
449.0ms	(cbrt.f64 (pow.f64 (.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 ew (sin.f64 t))) 3))
442.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
222.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

Compiler

Compiled 2578 to 1865 computations (27.7% saved)

simplify102.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4966	4324
1	4966	4324

prune260.0ms (1.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	207	1	208
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	207	6	213

Error

0.1b

Counts

213 → 6

Compiler

Compiled 8005 to 1879 computations (76.5% saved)

regimes165.0ms (1.2%)

Accuracy

Total 0.0b remaining (19.8%)

Threshold costs 0.0b (19.8%)

Compiler

Compiled 2126 to 1114 computations (47.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	65
1	25	65

end0.0ms (0%)

sample4.0s (28.4%)

Algorithm

1×

intervals

Results

1.8s	1944×	body	1024	valid
823.0ms	4554×	body	128	valid
585.0ms	1015×	body	512	valid
175.0ms	478×	body	256	valid
15.0ms	9×	body	2048	valid

Compiler

Compiled 470 to 246 computations (47.7% saved)

Details

analyze1.9s (13.8%)

sample109.0ms (0.8%)

simplify98.0ms (0.7%)

prune4.0ms (0%)

localize21.0ms (0.1%)

rewrite49.0ms (0.3%)

series1.5s (10.7%)

simplify95.0ms (0.7%)

prune230.0ms (1.6%)

localize26.0ms (0.2%)

rewrite42.0ms (0.3%)

series1.6s (11.4%)

simplify121.0ms (0.9%)

prune251.0ms (1.8%)

localize28.0ms (0.2%)

rewrite15.0ms (0.1%)

series1.6s (11.2%)

simplify83.0ms (0.6%)

prune115.0ms (0.8%)

localize27.0ms (0.2%)

rewrite42.0ms (0.3%)

series1.6s (11.1%)

simplify102.0ms (0.7%)

prune260.0ms (1.8%)

regimes165.0ms (1.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.0s (28.4%)

Profiling