Details

analyze700.0ms (9.9%)

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
18.7%	81.2%	0.1%	7
18.7%	81.2%	0.1%	8
29.7%	69.5%	0.9%	9
30.4%	67.9%	1.7%	10
36.3%	61.1%	2.6%	11
36.9%	59.5%	3.6%	12
39.9%	55.9%	4.2%	13
40.2%	54.9%	4.9%	14

sample146.0ms (2.1%)

Algorithm

1×

intervals

Results

89.0ms	28×	body	2560	valid
25.0ms	45×	body	1280	valid
11.0ms	30×	body	640	valid
7.0ms	135×	body	80	valid
2.0ms	9×	body	320	valid
1.0ms	9×	body	160	valid
0.0ms	8×	body	80	invalid

simplify447.0ms (6.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	671	14
1	671	14

prune8.0ms (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: 15.9b

Counts

2 → 1

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 PI.f64 l)
0.6b	(/.f64 1.0 (*.f64 F F))
4.9b	(.f64 (/.f64 1.0 (.f64 F F)) (tan.f64 (*.f64 PI.f64 l)))
28.9b	(tan.f64 (*.f64 PI.f64 l))

rewrite25.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
17×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`associate-l_binary64`
8×	`pow1_binary64`
7×	`times-frac_binary64`
6×	`cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
3×	`unswap-sqr_binary64` `associate-/l*_binary64` `tan-quot_binary64`
2×	`pow-prod-down_binary64` `div-inv_binary64` `*-commutative_binary64`
1×	`associate-/r_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `frac-times_binary64` `associate-*l/_binary64`

Counts

4 → 77

Calls

4 calls:

10.0ms	(.f64 (/.f64 1.0 (.f64 F F)) (tan.f64 (*.f64 PI.f64 l)))
5.0ms	(/.f64 1.0 (*.f64 F F))
4.0ms	(*.f64 PI.f64 l)
3.0ms	(tan.f64 (*.f64 PI.f64 l))

series59.0ms (0.8%)

Counts

4 → 12

Calls

4 calls:

29.0ms	(.f64 (/.f64 1.0 (.f64 F F)) (tan.f64 (*.f64 PI.f64 l)))
23.0ms	(tan.f64 (*.f64 PI.f64 l))
4.0ms	(/.f64 1.0 (*.f64 F F))
3.0ms	(*.f64 PI.f64 l)

simplify59.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5076	722

prune161.0ms (2.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	79	10	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	10	90

Merged error: 11.0b

Counts

90 → 10

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (tan.f64 (.f64 PI.f64 l)) (/.f64 1.0 F))
0.3b	(*.f64 PI.f64 l)
0.3b	(*.f64 PI.f64 l)
28.9b	(tan.f64 (*.f64 PI.f64 l))

rewrite20.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
19×	`associate-r_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`pow1_binary64` `times-frac_binary64`
9×	`associate-l_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
3×	`pow-prod-down_binary64` `tan-quot_binary64` `*-commutative_binary64`
1×	`cbrt-undiv_binary64` `associate-r/_binary64` `div-inv_binary64` `div-exp_binary64` `frac-times_binary64` `associate-l/_binary64`

Counts

4 → 78

Calls

4 calls:

8.0ms	(.f64 (tan.f64 (.f64 PI.f64 l)) (/.f64 1.0 F))
4.0ms	(*.f64 PI.f64 l)
4.0ms	(*.f64 PI.f64 l)
2.0ms	(tan.f64 (*.f64 PI.f64 l))

series40.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

22.0ms	(.f64 (tan.f64 (.f64 PI.f64 l)) (/.f64 1.0 F))
12.0ms	(tan.f64 (*.f64 PI.f64 l))
3.0ms	(*.f64 PI.f64 l)
3.0ms	(*.f64 PI.f64 l)

simplify52.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4946	657
1	4946	657

prune163.0ms (2.3%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	78	12	90
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	82	18	100

Merged error: 10.9b

Counts

100 → 18

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (.f64 (tan.f64 (.f64 PI.f64 l)) 1.0) F)
0.3b	(*.f64 PI.f64 l)
0.3b	(*.f64 PI.f64 l)
28.9b	(tan.f64 (*.f64 PI.f64 l))

rewrite17.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`pow1_binary64`
6×	`associate-r_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64`
3×	`associate-/r*_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `times-frac_binary64`
2×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-exp_binary64` `tan-quot_binary64` `*-commutative_binary64`
1×	`associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `associate-l/_binary64`

Counts

4 → 66

Calls

4 calls:

6.0ms	(/.f64 (.f64 (tan.f64 (.f64 PI.f64 l)) 1.0) F)
4.0ms	(*.f64 PI.f64 l)
4.0ms	(*.f64 PI.f64 l)
2.0ms	(tan.f64 (*.f64 PI.f64 l))

series39.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

22.0ms	(/.f64 (.f64 (tan.f64 (.f64 PI.f64 l)) 1.0) F)
11.0ms	(tan.f64 (*.f64 PI.f64 l))
3.0ms	(*.f64 PI.f64 l)
3.0ms	(*.f64 PI.f64 l)

simplify52.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5091	520

prune125.0ms (1.8%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	17	17
Picked	0	1	1
Done	0	0	0
Total	78	18	96

Merged error: 10.9b

Counts

96 → 18

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (tan.f64 (.f64 (sqrt.f64 PI.f64) (*.f64 l (sqrt.f64 PI.f64)))) (/.f64 1.0 F))
1.0b	(sqrt.f64 PI.f64)
1.0b	(sqrt.f64 PI.f64)
28.9b	(tan.f64 (.f64 (sqrt.f64 PI.f64) (.f64 l (sqrt.f64 PI.f64))))

rewrite18.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
13×	`associate-r_binary64`
10×	`times-frac_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`pow1_binary64`
6×	`sqrt-prod_binary64`
4×	`add-log-exp_binary64`
3×	`associate-l_binary64` `tan-quot_binary64`
2×	`pow1/2_binary64` `cbrt-unprod_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64`
1×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `div-inv_binary64` `div-exp_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 68

Calls

4 calls:

9.0ms	(.f64 (tan.f64 (.f64 (sqrt.f64 PI.f64) (*.f64 l (sqrt.f64 PI.f64)))) (/.f64 1.0 F))
3.0ms	(tan.f64 (.f64 (sqrt.f64 PI.f64) (.f64 l (sqrt.f64 PI.f64))))
2.0ms	(sqrt.f64 PI.f64)
2.0ms	(sqrt.f64 PI.f64)

series35.0ms (0.5%)

Counts

4 → 8

Calls

4 calls:

24.0ms	(.f64 (tan.f64 (.f64 (sqrt.f64 PI.f64) (*.f64 l (sqrt.f64 PI.f64)))) (/.f64 1.0 F))
11.0ms	(tan.f64 (.f64 (sqrt.f64 PI.f64) (.f64 l (sqrt.f64 PI.f64))))
0.0ms	(sqrt.f64 PI.f64)
0.0ms	(sqrt.f64 PI.f64)

simplify65.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4945	597
1	4945	597

prune95.0ms (1.4%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	73	3	76
Fresh	2	14	16
Picked	0	1	1
Done	0	1	1
Total	75	19	94

Merged error: 10.9b

Counts

94 → 19

regimes534.0ms (7.6%)

Accuracy

Total 0.3b remaining (2.6%)

Threshold costs 0.3b (2.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	113	25
1	113	25

end0.0ms (0%)

sample4.1s (58.5%)

Algorithm

1×

intervals

Results

2.4s	797×	body	2560	valid
971.0ms	1659×	body	1280	valid
268.0ms	983×	body	640	valid
205.0ms	3986×	body	80	valid
69.0ms	399×	body	320	valid
23.0ms	176×	body	160	valid
10.0ms	183×	body	80	invalid
2.0ms	1×	body	2560	invalid
2.0ms	4×	body	1280	invalid
1.0ms	2×	body	5120	exit

Details

analyze700.0ms (9.9%)

sample146.0ms (2.1%)

simplify447.0ms (6.4%)

prune8.0ms (0.1%)

localize22.0ms (0.3%)

rewrite25.0ms (0.4%)

series59.0ms (0.8%)

simplify59.0ms (0.8%)

prune161.0ms (2.3%)

localize11.0ms (0.2%)

rewrite20.0ms (0.3%)

series40.0ms (0.6%)

simplify52.0ms (0.7%)

prune163.0ms (2.3%)

localize11.0ms (0.2%)

rewrite17.0ms (0.2%)

series39.0ms (0.6%)

simplify52.0ms (0.7%)

prune125.0ms (1.8%)

localize15.0ms (0.2%)

rewrite18.0ms (0.2%)

series35.0ms (0.5%)

simplify65.0ms (0.9%)

prune95.0ms (1.4%)

regimes534.0ms (7.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.1s (58.5%)

Profiling