Details

analyze105.0ms (1.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	22
1	117	22
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Symmetry

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample77.0ms (0.8%)

Algorithm

1×

intervals

Results

31.0ms	102×	body	1024	valid
22.0ms	43×	body	2048	valid
8.0ms	45×	body	512	valid
3.0ms	24×	body	256	valid
3.0ms	42×	body	128	valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	72	11
1	72	11

prune3.0ms (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

36.4b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

1.8b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
2.9b	(sin.f64 (+.f64 x eps))

rewrite41.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

21.6b

Rules

5×	`add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
4×	`add-log-exp_binary64_1481`
3×	`add-cube-cbrt_binary64_1477` `cancel-sign-sub-inv_binary64_1408`
2×	`sin-sum_binary64_1575` `pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
1×	`diff-sin_binary64_1592` `diff-log_binary64_1534` `flip3--_binary64_1446` `sub-neg_binary64_1435` `flip--_binary64_1417` `difference-of-squares_binary64_1411` `distribute-lft-out--_binary64_1394` `associate--l+_binary64_1379`

Counts

2 → 26

Calls

2 calls:

6.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
4.0ms	(sin.f64 (+.f64 x eps))

Compiler

Compiled 382 to 101 computations (73.6% saved)

series134.0ms (1.4%)

Error

12.8b

Counts

2 → 23

Calls

2 calls:

71.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
38.0ms	(sin.f64 (+.f64 x eps))

Compiler

Compiled 649 to 390 computations (39.9% saved)

simplify61.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5076	717

prune49.0ms (0.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	45	4	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	4	50

Error

0.3b

Counts

50 → 4

Compiler

Compiled 639 to 213 computations (66.7% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))
0.1b	(*.f64 (sin.f64 x) (cos.f64 eps))
0.1b	(*.f64 (sin.f64 eps) (cos.f64 x))
3.9b	(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))

rewrite99.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

14×	`add-sqr-sqrt_binary64_1464`
11×	`add-log-exp_binary64_1481`
10×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
8×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
6×	`cancel-sign-sub-inv_binary64_1408` `associate-l_binary64_1383` `associate-r_binary64_1382`
4×	`sin-cos-mult_binary64_1598` `associate-+r+_binary64_1374`
2×	`diff-log_binary64_1534` `sum-log_binary64_1533` `flip3--_binary64_1446` `frac-add_binary64_1450` `flip--_binary64_1417` `sub-neg_binary64_1435` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `*-commutative_binary64_1373`
1×	`flip3-+_binary64_1445` `flip-+_binary64_1416` `associate-+r-_binary64_1376` `+-commutative_binary64_1372`

Counts

4 → 71

Calls

4 calls:

10.0ms	(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
8.0ms	(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))
5.0ms	(*.f64 (sin.f64 eps) (cos.f64 x))
4.0ms	(*.f64 (sin.f64 x) (cos.f64 eps))

Compiler

Compiled 1641 to 299 computations (81.8% saved)

series539.0ms (5.5%)

Error

0.3b

Counts

4 → 43

Calls

4 calls:

179.0ms	(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
127.0ms	(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))
111.0ms	(*.f64 (sin.f64 eps) (cos.f64 x))
92.0ms	(*.f64 (sin.f64 x) (cos.f64 eps))

Compiler

Compiled 1812 to 987 computations (45.5% saved)

simplify88.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5404	1967

prune105.0ms (1.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	105	9	114
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	108	10	118

Error

0.1b

Counts

118 → 10

Compiler

Compiled 2413 to 667 computations (72.4% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.7b	(cbrt.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
2.5b	(+.f64 (cos.f64 eps) -1)
2.5b	(+.f64 (cos.f64 eps) -1)
2.5b	(+.f64 (cos.f64 eps) -1)

rewrite131.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

11×	`*-un-lft-identity_binary64_1442`
10×	`add-log-exp_binary64_1481`
8×	`add-sqr-sqrt_binary64_1464`
5×	`add-cube-cbrt_binary64_1477` `flip3-+_binary64_1445` `flip-+_binary64_1416`
4×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `cbrt-div_binary64_1474`
3×	`sum-log_binary64_1533` `difference-of-sqr--1_binary64_1413` `distribute-lft-out_binary64_1393` `+-commutative_binary64_1372` `cbrt-prod_binary64_1473`
2×	`associate-*r/_binary64_1384` `sin-cos-mult_binary64_1598` `frac-add_binary64_1450`
1×	`pow1/3_binary64_1524`

Counts

4 → 54

Calls

4 calls:

6.0ms	(cbrt.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
4.0ms	(+.f64 (cos.f64 eps) -1)
4.0ms	(+.f64 (cos.f64 eps) -1)
4.0ms	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 2901 to 1230 computations (57.6% saved)

series686.0ms (6.9%)

Error

0.1b

Counts

4 → 22

Calls

4 calls:

573.0ms	(cbrt.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
26.0ms	(+.f64 (cos.f64 eps) -1)
24.0ms	(+.f64 (cos.f64 eps) -1)
24.0ms	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 3319 to 1801 computations (45.7% saved)

simplify60.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5019	1477

prune153.0ms (1.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	72	4	76
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	75	11	86

Error

0.1b

Counts

86 → 11

Compiler

Compiled 4265 to 1871 computations (56.1% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.7b	(cbrt.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
0.7b	(cbrt.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
2.5b	(+.f64 (cos.f64 eps) -1)
2.5b	(+.f64 (cos.f64 eps) -1)

rewrite151.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

10×	`*-un-lft-identity_binary64_1442`
8×	`add-log-exp_binary64_1481` `add-sqr-sqrt_binary64_1464` `cbrt-div_binary64_1474`
6×	`add-cube-cbrt_binary64_1477` `flip3-+_binary64_1445` `flip-+_binary64_1416` `cbrt-prod_binary64_1473`
4×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `associate-*r/_binary64_1384` `sin-cos-mult_binary64_1598` `frac-add_binary64_1450`
2×	`sum-log_binary64_1533` `difference-of-sqr--1_binary64_1413` `distribute-lft-out_binary64_1393` `+-commutative_binary64_1372` `pow1/3_binary64_1524`

Counts

4 → 56

Calls

4 calls:

6.0ms	(cbrt.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
5.0ms	(cbrt.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
4.0ms	(+.f64 (cos.f64 eps) -1)
4.0ms	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 3530 to 1572 computations (55.5% saved)

series1.3s (12.7%)

Error

0.1b

Counts

4 → 28

Calls

4 calls:

573.0ms	(cbrt.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
564.0ms	(cbrt.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
28.0ms	(+.f64 (cos.f64 eps) -1)
26.0ms	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 5030 to 2820 computations (43.9% saved)

simplify67.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5019	2278

prune176.0ms (1.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	79	5	84
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	82	13	95

Error

0.1b

Counts

95 → 13

Compiler

Compiled 4948 to 2206 computations (55.4% saved)

regimes934.0ms (9.5%)

Accuracy

Total 0.3b remaining (80.3%)

Threshold costs 0.3b (80.3%)

Compiler

Compiled 10929 to 6241 computations (42.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	21
1	16	21

Removed

()

end0.0ms (0%)

sample4.9s (49.6%)

Algorithm

1×

intervals

Results

1.0s	3406×	body	1024	valid
663.0ms	1287×	body	2048	valid
274.0ms	1377×	body	512	valid
81.0ms	1342×	body	128	valid
79.0ms	586×	body	256	valid
2.0ms	2×	body	4096	valid

Compiler

Compiled 3653 to 2094 computations (42.7% saved)

Details

analyze105.0ms (1.1%)

sample77.0ms (0.8%)

simplify10.0ms (0.1%)

prune3.0ms (0%)

localize6.0ms (0.1%)

rewrite41.0ms (0.4%)

series134.0ms (1.4%)

simplify61.0ms (0.6%)

prune49.0ms (0.5%)

localize12.0ms (0.1%)

rewrite99.0ms (1%)

series539.0ms (5.5%)

simplify88.0ms (0.9%)

prune105.0ms (1.1%)

localize17.0ms (0.2%)

rewrite131.0ms (1.3%)

series686.0ms (6.9%)

simplify60.0ms (0.6%)

prune153.0ms (1.5%)

localize25.0ms (0.3%)

rewrite151.0ms (1.5%)

series1.3s (12.7%)

simplify67.0ms (0.7%)

prune176.0ms (1.8%)

regimes934.0ms (9.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.9s (49.6%)

Profiling