Details

analyze2.0ms (0%)

Algorithm

1×

Search

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

sample95.0ms (2.2%)

Algorithm

1×

intervals

Results

51.0ms	141×	body	1280	valid
16.0ms	73×	body	640	valid
16.0ms	12×	body	2560	valid
3.0ms	17×	body	320	valid
1.0ms	10×	body	160	valid
0.0ms	3×	body	80	valid

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	71	7
1	71	7

prune5.0ms (0.1%)

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

Merged error: 37.1b

Counts

2 → 1

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.6b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
3.8b	(cos.f64 (+.f64 x eps))

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-sqr-sqrt_binary64`
2×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cos-sum_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `associate--l-_binary64` `diff-log_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `diff-cos_binary64`

Counts

2 → 23

Calls

2 calls:

7.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
4.0ms	(cos.f64 (+.f64 x eps))

series16.0ms (0.4%)

Counts

2 → 6

Calls

2 calls:

11.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
5.0ms	(cos.f64 (+.f64 x eps))

simplify28.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	4999	270
1	4999	270

prune53.0ms (1.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	23	6	29
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	24	6	30

Merged error: 0.4b

Counts

30 → 6

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))))
0.0b	(+.f64 x (+.f64 x eps))
0.3b	(*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)))
3.4b	(sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))

rewrite41.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
11×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64`
6×	`associate-l_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
3×	`distribute-lft-out_binary64` `sum-log_binary64`
2×	`sin-mult_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `associate-*r/_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-+r+_binary64`

Counts

4 → 60

Calls

4 calls:

14.0ms	(*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)))
12.0ms	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))))
7.0ms	(sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))
6.0ms	(+.f64 x (+.f64 x eps))

series42.0ms (1%)

Counts

4 → 12

Calls

4 calls:

17.0ms	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))))
14.0ms	(*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)))
7.0ms	(sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))
4.0ms	(+.f64 x (+.f64 x eps))

simplify59.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4907	890
1	4907	890

prune130.0ms (3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	62	10	72
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	63	15	78

Merged error: 0.3b

Counts

78 → 15

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)))
3.4b	(sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))
3.4b	(sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))
3.4b	(sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))

rewrite30.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`cbrt-prod_binary64`
1×	`pow1/3_binary64`

Counts

4 → 32

Calls

4 calls:

8.0ms	(sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))
8.0ms	(sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))
8.0ms	(sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))
6.0ms	(cbrt.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)))

series47.0ms (1.1%)

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)))
8.0ms	(sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))
7.0ms	(sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))
7.0ms	(sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))

simplify54.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5090	468

prune111.0ms (2.5%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	43	1	44
Fresh	0	13	13
Picked	0	1	1
Done	0	1	1
Total	43	16	59

Merged error: 0.3b

Counts

59 → 16

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

3.4b	(sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))
4.9b	(cbrt.f64 (.f64 (.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)) (sin.f64 (/.f64 eps 2))) -2))
4.9b	(cbrt.f64 (.f64 (.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)) (sin.f64 (/.f64 eps 2))) -2))
4.9b	(cbrt.f64 (.f64 (.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)) (sin.f64 (/.f64 eps 2))) -2))

rewrite43.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
3×	`cbrt-div_binary64` `pow1/3_binary64` `sin-mult_binary64` `cbrt-prod_binary64` `associate-*l/_binary64`

Counts

4 → 37

Calls

4 calls:

13.0ms	(cbrt.f64 (.f64 (.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)) (sin.f64 (/.f64 eps 2))) -2))
11.0ms	(cbrt.f64 (.f64 (.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)) (sin.f64 (/.f64 eps 2))) -2))
11.0ms	(cbrt.f64 (.f64 (.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)) (sin.f64 (/.f64 eps 2))) -2))
8.0ms	(sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))

series152.0ms (3.4%)

Counts

4 → 12

Calls

4 calls:

50.0ms	(cbrt.f64 (.f64 (.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)) (sin.f64 (/.f64 eps 2))) -2))
48.0ms	(cbrt.f64 (.f64 (.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)) (sin.f64 (/.f64 eps 2))) -2))
47.0ms	(cbrt.f64 (.f64 (.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)) (sin.f64 (/.f64 eps 2))) -2))
7.0ms	(sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))

simplify76.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4887	850
1	4887	850

prune107.0ms (2.4%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	1	12	13
Picked	1	0	1
Done	1	1	2
Total	51	14	65

Merged error: 0.3b

Counts

65 → 14

regimes206.0ms (4.7%)

Accuracy

Total 0.4b remaining (48.6%)

Threshold costs 0.4b (48.6%)

bsearch69.0ms (1.6%)

Steps

Iters	Range		Point
9	1.9050947580688215e-15	2.086968805494545e-06	2.0310490321845372e-06
9	-5818.371851083311	-0.0028689388283919684	-0.0029089008421326404

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	69	38
1	69	38

end0.0ms (0%)

sample3.0s (67.3%)

Algorithm

1×

intervals

Results

1.6s	4451×	body	1280	valid
562.0ms	611×	body	2560	valid
450.0ms	1934×	body	640	valid
106.0ms	654×	body	320	valid
35.0ms	276×	body	160	valid
4.0ms	74×	body	80	valid

Details

analyze2.0ms (0%)

sample95.0ms (2.2%)

simplify7.0ms (0.2%)

prune5.0ms (0.1%)

localize8.0ms (0.2%)

rewrite12.0ms (0.3%)

series16.0ms (0.4%)

simplify28.0ms (0.6%)

prune53.0ms (1.2%)

localize13.0ms (0.3%)

rewrite41.0ms (0.9%)

series42.0ms (1%)

simplify59.0ms (1.3%)

prune130.0ms (3%)

localize17.0ms (0.4%)

rewrite30.0ms (0.7%)

series47.0ms (1.1%)

simplify54.0ms (1.2%)

prune111.0ms (2.5%)

localize17.0ms (0.4%)

rewrite43.0ms (1%)

series152.0ms (3.4%)

simplify76.0ms (1.7%)

prune107.0ms (2.4%)

regimes206.0ms (4.7%)

bsearch69.0ms (1.6%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample3.0s (67.3%)

Profiling