Details

analyze877.0ms (11.2%)

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample80.0ms (1%)

Algorithm

1×

intervals

Results

28.0ms	32×	body	2048	valid
16.0ms	59×	body	1024	valid
12.0ms	3×	body	4096	valid
7.0ms	140×	body	128	valid
3.0ms	17×	body	512	valid
1.0ms	5×	body	256	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify129.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	299	20
1	299	20

prune6.0ms (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

Error

17.4b

Counts

2 → 2

Compiler

Compiled 38 to 26 computations (31.6% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 PI.f64 l)
0.3b	(*.f64 PI.f64 l)
3.7b	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
28.8b	(tan.f64 (*.f64 PI.f64 l))

rewrite100.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

13.4b

Rules

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

Counts

4 → 66

Calls

4 calls:

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

Compiler

Compiled 1159 to 255 computations (78% saved)

series318.0ms (4.1%)

Error

17.4b

Counts

4 → 17

Calls

4 calls:

204.0ms	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
59.0ms	(tan.f64 (*.f64 PI.f64 l))
20.0ms	(*.f64 PI.f64 l)
20.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 779 to 417 computations (46.5% saved)

simplify81.0ms (1%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4945	958
1	4945	958

prune94.0ms (1.2%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	67	16	83
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	69	16	85

Error

13.4b

Counts

85 → 16

Compiler

Compiled 1621 to 417 computations (74.3% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 PI.f64 l)
0.3b	(*.f64 PI.f64 l)
0.3b	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
28.8b	(tan.f64 (*.f64 PI.f64 l))

rewrite81.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

13.4b

Rules

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

Counts

4 → 72

Calls

4 calls:

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

Compiler

Compiled 1290 to 337 computations (73.9% saved)

series299.0ms (3.8%)

Error

13.4b

Counts

4 → 17

Calls

4 calls:

201.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
46.0ms	(tan.f64 (*.f64 PI.f64 l))
20.0ms	(*.f64 PI.f64 l)
20.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 771 to 372 computations (51.8% saved)

simplify74.0ms (1%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5816	1054

prune87.0ms (1.1%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	84	5	89
Fresh	4	11	15
Picked	1	0	1
Done	0	0	0
Total	89	16	105

Error

13.4b

Counts

105 → 16

Compiler

Compiled 1807 to 502 computations (72.2% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 PI.f64 l)
0.3b	(*.f64 PI.f64 l)
0.3b	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
28.8b	(tan.f64 (*.f64 PI.f64 l))

rewrite78.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

13.4b

Rules

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

Counts

4 → 72

Calls

4 calls:

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

Compiler

Compiled 1434 to 481 computations (66.5% saved)

series314.0ms (4%)

Error

13.4b

Counts

4 → 17

Calls

4 calls:

210.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
47.0ms	(tan.f64 (*.f64 PI.f64 l))
21.0ms	(*.f64 PI.f64 l)
21.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 869 to 481 computations (44.6% saved)

simplify73.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5816	1054

prune85.0ms (1.1%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	86	3	89
Fresh	2	13	15
Picked	0	1	1
Done	0	0	0
Total	88	17	105

Error

13.4b

Counts

105 → 17

Compiler

Compiled 1992 to 706 computations (64.6% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

7.0b	(cbrt.f64 (/.f64 (tan.f64 (*.f64 PI.f64 l)) F))
28.8b	(tan.f64 (*.f64 PI.f64 l))
28.8b	(tan.f64 (*.f64 PI.f64 l))
28.8b	(tan.f64 (*.f64 PI.f64 l))

rewrite64.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

13.4b

Rules

13×	`cbrt-prod_binary64`
11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
9×	`times-frac_binary64`
4×	`pow1_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`tan-quot_binary64`
1×	`pow1/3_binary64` `cbrt-div_binary64` `div-inv_binary64`

Counts

4 → 46

Calls

4 calls:

2.0ms	(cbrt.f64 (/.f64 (tan.f64 (*.f64 PI.f64 l)) F))
2.0ms	(tan.f64 (*.f64 PI.f64 l))
2.0ms	(tan.f64 (*.f64 PI.f64 l))
2.0ms	(tan.f64 (*.f64 PI.f64 l))

Compiler

Compiled 1670 to 292 computations (82.5% saved)

series560.0ms (7.2%)

Error

13.4b

Counts

4 → 18

Calls

4 calls:

402.0ms	(cbrt.f64 (/.f64 (tan.f64 (*.f64 PI.f64 l)) F))
50.0ms	(tan.f64 (*.f64 PI.f64 l))
47.0ms	(tan.f64 (*.f64 PI.f64 l))
42.0ms	(tan.f64 (*.f64 PI.f64 l))

Compiler

Compiled 1842 to 763 computations (58.6% saved)

simplify80.0ms (1%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4901	1053
1	4901	1053

prune72.0ms (0.9%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	61	3	64
Fresh	1	14	15
Picked	1	0	1
Done	0	1	1
Total	63	18	81

Error

13.4b

Counts

81 → 18

Compiler

Compiled 2217 to 357 computations (83.9% saved)

regimes853.0ms (10.9%)

Accuracy

Total 0.3b remaining (2.2%)

Threshold costs 0.3b (2.2%)

Compiler

Compiled 10546 to 6217 computations (41% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	20
1	34	20

end0.0ms (0%)

sample3.4s (43.1%)

Algorithm

1×

intervals

Results

852.0ms	1011×	body	2048	valid
447.0ms	1796×	body	1024	valid
212.0ms	4097×	body	128	valid
187.0ms	57×	body	4096	valid
117.0ms	721×	body	512	valid
35.0ms	318×	body	256	valid
10.0ms	197×	body	128	invalid
2.0ms	6×	body	2048	invalid
1.0ms	2×	body	8192	exit

Compiler

Compiled 1648 to 970 computations (41.1% saved)

Details

analyze877.0ms (11.2%)

sample80.0ms (1%)

simplify129.0ms (1.6%)

prune6.0ms (0.1%)

localize10.0ms (0.1%)

rewrite100.0ms (1.3%)

series318.0ms (4.1%)

simplify81.0ms (1%)

prune94.0ms (1.2%)

localize7.0ms (0.1%)

rewrite81.0ms (1%)

series299.0ms (3.8%)

simplify74.0ms (1%)

prune87.0ms (1.1%)

localize9.0ms (0.1%)

rewrite78.0ms (1%)

series314.0ms (4%)

simplify73.0ms (0.9%)

prune85.0ms (1.1%)

localize13.0ms (0.2%)

rewrite64.0ms (0.8%)

series560.0ms (7.2%)

simplify80.0ms (1%)

prune72.0ms (0.9%)

regimes853.0ms (10.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.4s (43.1%)

Profiling