Details

analyze103.0ms (0.9%)

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample88.0ms (0.8%)

Algorithm

1×

intervals

Results

43.0ms	119×	body	1024	valid
18.0ms	31×	body	2048	valid
9.0ms	43×	body	512	valid
3.0ms	23×	body	256	valid
3.0ms	40×	body	128	valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	72	11
1	72	11

prune2.0ms (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

38.1b

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))
3.2b	(sin.f64 (+.f64 x eps))

rewrite47.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

20.5b

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)

series135.0ms (1.2%)

Error

14.9b

Counts

2 → 22

Calls

2 calls:

71.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
42.0ms	(sin.f64 (+.f64 x eps))

Compiler

Compiled 616 to 371 computations (39.8% saved)

simplify97.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4896	675
1	4896	675

prune58.0ms (0.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	44	4	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	4	49

Error

0.2b

Counts

49 → 4

Compiler

Compiled 624 to 205 computations (67.1% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
0.1b	(*.f64 (cos.f64 eps) (sin.f64 x))
0.1b	(*.f64 (sin.f64 eps) (cos.f64 x))
3.8b	(-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))

rewrite99.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

15×	`add-sqr-sqrt_binary64_1464`
11×	`add-log-exp_binary64_1481` `*-un-lft-identity_binary64_1442`
9×	`add-cube-cbrt_binary64_1477`
8×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
6×	`associate-l_binary64_1383` `associate-r_binary64_1382`
3×	`cancel-sign-sub-inv_binary64_1408`
2×	`sum-log_binary64_1533` `diff-log_binary64_1534` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `*-commutative_binary64_1373`
1×	`flip3--_binary64_1446` `sub-neg_binary64_1435` `flip--_binary64_1417` `difference-of-squares_binary64_1411` `distribute-lft-out--_binary64_1394` `associate--l+_binary64_1379` `sin-cos-mult_binary64_1598` `flip3-+_binary64_1445` `flip-+_binary64_1416` `+-commutative_binary64_1372`

Counts

4 → 66

Calls

4 calls:

9.0ms	(*.f64 (sin.f64 eps) (cos.f64 x))
9.0ms	(-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
8.0ms	(*.f64 (cos.f64 eps) (sin.f64 x))
5.0ms	(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))

Compiler

Compiled 1495 to 285 computations (80.9% saved)

series665.0ms (5.9%)

Error

0.2b

Counts

4 → 41

Calls

4 calls:

210.0ms	(-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
186.0ms	(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
136.0ms	(*.f64 (sin.f64 eps) (cos.f64 x))
104.0ms	(*.f64 (cos.f64 eps) (sin.f64 x))

Compiler

Compiled 1682 to 919 computations (45.4% saved)

simplify100.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5052	1808

prune118.0ms (1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	95	12	107
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	98	13	111

Error

0.1b

Counts

111 → 13

Compiler

Compiled 2336 to 690 computations (70.5% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
2.7b	(+.f64 (cos.f64 eps) -1)
2.7b	(+.f64 (cos.f64 eps) -1)
2.7b	(+.f64 (cos.f64 eps) -1)

rewrite142.0ms (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`
4×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `flip3-+_binary64_1445` `flip-+_binary64_1416`
3×	`sum-log_binary64_1533` `difference-of-sqr--1_binary64_1413` `distribute-lft-out_binary64_1393` `+-commutative_binary64_1372` `cbrt-prod_binary64_1473`
2×	`cbrt-div_binary64_1474`
1×	`pow1/3_binary64_1524`

Counts

4 → 52

Calls

4 calls:

8.0ms	(+.f64 (cos.f64 eps) -1)
7.0ms	(+.f64 (cos.f64 eps) -1)
4.0ms	(+.f64 (cos.f64 eps) -1)
4.0ms	(cbrt.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))

Compiler

Compiled 2746 to 1153 computations (58% saved)

series850.0ms (7.5%)

Error

0.1b

Counts

4 → 23

Calls

4 calls:

689.0ms	(cbrt.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
37.0ms	(+.f64 (cos.f64 eps) -1)
26.0ms	(+.f64 (cos.f64 eps) -1)
24.0ms	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 3552 to 1972 computations (44.5% saved)

simplify75.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5910	1610

prune179.0ms (1.6%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	71	4	75
Fresh	0	12	12
Picked	1	0	1
Done	0	0	0
Total	72	16	88

Error

0.1b

Counts

88 → 16

Compiler

Compiled 4462 to 1970 computations (55.8% saved)

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
0.5b	(cbrt.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))))
2.7b	(+.f64 (cos.f64 eps) -1)
2.7b	(+.f64 (cos.f64 eps) -1)

rewrite168.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`*-un-lft-identity_binary64_1442`
8×	`add-log-exp_binary64_1481` `add-sqr-sqrt_binary64_1464`
6×	`add-cube-cbrt_binary64_1477` `cbrt-prod_binary64_1473`
4×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `flip3-+_binary64_1445` `flip-+_binary64_1416` `cbrt-div_binary64_1474`
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 → 52

Calls

4 calls:

6.0ms	(cbrt.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
4.0ms	(cbrt.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))))
4.0ms	(+.f64 (cos.f64 eps) -1)
4.0ms	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 3274 to 1459 computations (55.4% saved)

series1.7s (15%)

Error

0.1b

Counts

4 → 30

Calls

4 calls:

834.0ms	(cbrt.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))))
683.0ms	(cbrt.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
33.0ms	(+.f64 (cos.f64 eps) -1)
28.0ms	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 5048 to 2860 computations (43.3% saved)

simplify108.0ms (1%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5170	2559

prune223.0ms (2%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	79	3	82
Fresh	2	13	15
Picked	1	0	1
Done	0	0	0
Total	82	16	98

Error

0.1b

Counts

98 → 16

Compiler

Compiled 4922 to 2213 computations (55% saved)

regimes813.0ms (7.2%)

Accuracy

Total 0.3b remaining (80.8%)

Threshold costs 0.3b (80.8%)

Compiler

Compiled 9499 to 5319 computations (44% 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

end0.0ms (0%)

sample5.4s (48.1%)

Algorithm

1×

intervals

Results

1.2s	3484×	body	1024	valid
779.0ms	1249×	body	2048	valid
314.0ms	1351×	body	512	valid
95.0ms	1308×	body	128	valid
95.0ms	606×	body	256	valid
3.0ms	2×	body	4096	valid

Compiler

Compiled 3162 to 1781 computations (43.7% saved)

Details

analyze103.0ms (0.9%)

sample88.0ms (0.8%)

simplify16.0ms (0.1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite47.0ms (0.4%)

series135.0ms (1.2%)

simplify97.0ms (0.9%)

prune58.0ms (0.5%)

localize11.0ms (0.1%)

rewrite99.0ms (0.9%)

series665.0ms (5.9%)

simplify100.0ms (0.9%)

prune118.0ms (1%)

localize20.0ms (0.2%)

rewrite142.0ms (1.3%)

series850.0ms (7.5%)

simplify75.0ms (0.7%)

prune179.0ms (1.6%)

localize34.0ms (0.3%)

rewrite168.0ms (1.5%)

series1.7s (15%)

simplify108.0ms (1%)

prune223.0ms (2%)

regimes813.0ms (7.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample5.4s (48.1%)

Profiling