Details

analyze900.0ms (10.8%)

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)

sample146.0ms (1.8%)

Algorithm

1×

intervals

Results

74.0ms	37×	body	2048	valid
24.0ms	3×	body	4096	valid
24.0ms	62×	body	1024	valid
7.0ms	127×	body	128	valid
4.0ms	18×	body	512	valid
1.0ms	9×	body	256	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify183.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	287	20
1	287	20

prune13.0ms (0.2%)

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: 16.2b

Counts

2 → 2

Compiler

Compiled 64 to 44 computations (31.3% 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)
2.2b	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
31.1b	(tan.f64 (*.f64 PI.f64 l))

rewrite24.0ms (0.3%)

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×	`cbrt-unprod_binary64` `prod-exp_binary64` `associate-/l*_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` `associate-/r*_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64`

Counts

4 → 66

Calls

4 calls:

7.0ms	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
4.0ms	(*.f64 PI.f64 l)
4.0ms	(*.f64 PI.f64 l)
3.0ms	(tan.f64 (*.f64 PI.f64 l))

series308.0ms (3.7%)

Counts

4 → 12

Calls

4 calls:

164.0ms	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
86.0ms	(tan.f64 (*.f64 PI.f64 l))
30.0ms	(*.f64 PI.f64 l)
26.0ms	(*.f64 PI.f64 l)

simplify68.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4967	914
1	4967	914

prune393.0ms (4.7%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	61	17	78
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	62	18	80

Merged error: 14.3b

Counts

80 → 18

Compiler

Compiled 6924 to 3535 computations (48.9% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
0.3b	(*.f64 PI.f64 l)
0.3b	(*.f64 PI.f64 l)
31.1b	(tan.f64 (*.f64 PI.f64 l))

rewrite22.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

5.0ms	(/.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))

series267.0ms (3.2%)

Counts

4 → 12

Calls

4 calls:

144.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
71.0ms	(tan.f64 (*.f64 PI.f64 l))
26.0ms	(*.f64 PI.f64 l)
26.0ms	(*.f64 PI.f64 l)

simplify72.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4878	1019
1	4878	1019

prune326.0ms (3.9%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	78	6	84
Fresh	5	12	17
Picked	0	1	1
Done	0	0	0
Total	83	19	102

Merged error: 14.2b

Counts

102 → 19

Compiler

Compiled 6022 to 3052 computations (49.3% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
0.3b	(*.f64 PI.f64 l)
0.3b	(*.f64 PI.f64 l)
31.1b	(tan.f64 (*.f64 PI.f64 l))

rewrite20.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

series258.0ms (3.1%)

Counts

4 → 12

Calls

4 calls:

131.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
67.0ms	(tan.f64 (*.f64 PI.f64 l))
33.0ms	(*.f64 PI.f64 l)
27.0ms	(*.f64 PI.f64 l)

simplify72.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4878	1019
1	4878	1019

prune150.0ms (1.8%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	81	3	84
Fresh	3	14	17
Picked	0	1	1
Done	0	1	1
Total	84	19	103

Merged error: 14.2b

Counts

103 → 19

Compiler

Compiled 2994 to 1403 computations (53.1% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 PI.f64 l)
0.3b	(*.f64 PI.f64 l)
0.7b	(/.f64 1 (/.f64 F (tan.f64 (*.f64 PI.f64 l))))
31.1b	(tan.f64 (*.f64 PI.f64 l))

rewrite30.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`times-frac_binary64`
55×	`add-sqr-sqrt_binary64`
51×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
19×	`add-exp-log_binary64`
14×	`associate-/r*_binary64`
13×	`add-cbrt-cube_binary64`
9×	`pow1_binary64`
7×	`div-exp_binary64`
6×	`associate-r_binary64` `associate-l_binary64`
5×	`associate-/r/_binary64` `div-inv_binary64` `tan-quot_binary64`
4×	`add-log-exp_binary64`
3×	`cbrt-undiv_binary64` `associate-/l*_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `1-exp_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `rec-exp_binary64` `*-commutative_binary64`
1×	`clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `pow-flip_binary64`

Counts

4 → 124

Calls

4 calls:

8.0ms	(/.f64 1 (/.f64 F (tan.f64 (*.f64 PI.f64 l))))
4.0ms	(*.f64 PI.f64 l)
4.0ms	(*.f64 PI.f64 l)
2.0ms	(tan.f64 (*.f64 PI.f64 l))

series321.0ms (3.9%)

Counts

4 → 12

Calls

4 calls:

182.0ms	(/.f64 1 (/.f64 F (tan.f64 (*.f64 PI.f64 l))))
80.0ms	(tan.f64 (*.f64 PI.f64 l))
31.0ms	(*.f64 PI.f64 l)
28.0ms	(*.f64 PI.f64 l)

simplify106.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4995	2260
1	4995	2260

prune216.0ms (2.6%)

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	133	3	136
Fresh	0	16	16
Picked	0	1	1
Done	0	2	2
Total	133	22	155

Merged error: 14.2b

Counts

155 → 22

Compiler

Compiled 4639 to 2125 computations (54.2% saved)

regimes261.0ms (3.1%)

Compiler: Compiled 2763 to 1748 computations (36.7% 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%)

sample4.1s (49.6%)

Algorithm

1×

intervals

Results

1.9s	960×	body	2048	valid
722.0ms	1880×	body	1024	valid
515.0ms	66×	body	4096	valid
219.0ms	4058×	body	128	valid
153.0ms	723×	body	512	valid
43.0ms	313×	body	256	valid
13.0ms	212×	body	128	invalid
2.0ms	3×	body	2048	invalid
1.0ms	3×	body	8192	exit

Compiler

Compiled 451 to 286 computations (36.6% saved)

Details

analyze900.0ms (10.8%)

sample146.0ms (1.8%)

simplify183.0ms (2.2%)

prune13.0ms (0.2%)

localize10.0ms (0.1%)

rewrite24.0ms (0.3%)

series308.0ms (3.7%)

simplify68.0ms (0.8%)

prune393.0ms (4.7%)

localize9.0ms (0.1%)

rewrite22.0ms (0.3%)

series267.0ms (3.2%)

simplify72.0ms (0.9%)

prune326.0ms (3.9%)

localize10.0ms (0.1%)

rewrite20.0ms (0.2%)

series258.0ms (3.1%)

simplify72.0ms (0.9%)

prune150.0ms (1.8%)

localize11.0ms (0.1%)

rewrite30.0ms (0.4%)

series321.0ms (3.9%)

simplify106.0ms (1.3%)

prune216.0ms (2.6%)

regimes261.0ms (3.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.1s (49.6%)

Profiling