Details

analyze888.0ms (12%)

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)

sample137.0ms (1.9%)

Algorithm

1×

intervals

Results

63.0ms	31×	body	2048	valid
26.0ms	3×	body	4096	valid
26.0ms	64×	body	1024	valid
6.0ms	123×	body	128	valid
5.0ms	24×	body	512	valid
1.0ms	11×	body	256	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify182.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	287	20
1	287	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

Merged error: 16.0b

Counts

2 → 2

Compiler

Compiled 38 to 26 computations (31.6% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 PI.f64 l)
0.2b	(*.f64 PI.f64 l)
3.5b	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
30.8b	(tan.f64 (*.f64 PI.f64 l))

rewrite23.0ms (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))

series292.0ms (4%)

Counts

4 → 12

Calls

4 calls:

147.0ms	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
86.0ms	(tan.f64 (*.f64 PI.f64 l))
33.0ms	(*.f64 PI.f64 l)
26.0ms	(*.f64 PI.f64 l)

simplify65.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4967	914
1	4967	914

prune96.0ms (1.3%)

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: 12.1b

Counts

80 → 18

Compiler

Compiled 1583 to 453 computations (71.4% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
0.2b	(*.f64 PI.f64 l)
0.2b	(*.f64 PI.f64 l)
30.8b	(tan.f64 (*.f64 PI.f64 l))

rewrite19.0ms (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:

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))

series263.0ms (3.6%)

Counts

4 → 12

Calls

4 calls:

129.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
69.0ms	(tan.f64 (*.f64 PI.f64 l))
35.0ms	(*.f64 PI.f64 l)
29.0ms	(*.f64 PI.f64 l)

simplify68.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4910	1019
1	4910	1019

prune82.0ms (1.1%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	80	4	84
Fresh	3	14	17
Picked	0	1	1
Done	0	0	0
Total	83	19	102

Merged error: 12.1b

Counts

102 → 19

Compiler

Compiled 1737 to 534 computations (69.3% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
0.2b	(*.f64 PI.f64 l)
0.2b	(*.f64 PI.f64 l)
30.8b	(tan.f64 (*.f64 PI.f64 l))

rewrite19.0ms (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:

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))

series247.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

128.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
63.0ms	(tan.f64 (*.f64 PI.f64 l))
29.0ms	(*.f64 PI.f64 l)
26.0ms	(*.f64 PI.f64 l)

simplify70.0ms (1%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4910	1019
1	4910	1019

prune90.0ms (1.2%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	1	16	17
Picked	0	1	1
Done	1	0	1
Total	84	19	103

Merged error: 12.1b

Counts

103 → 19

Compiler

Compiled 1916 to 724 computations (62.2% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
0.2b	(*.f64 PI.f64 l)
0.2b	(*.f64 PI.f64 l)
30.8b	(tan.f64 (*.f64 PI.f64 l))

rewrite19.0ms (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:

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))

series264.0ms (3.6%)

Counts

4 → 12

Calls

4 calls:

139.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
70.0ms	(tan.f64 (*.f64 PI.f64 l))
29.0ms	(*.f64 PI.f64 l)
26.0ms	(*.f64 PI.f64 l)

simplify69.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4910	1019
1	4910	1019

prune71.0ms (1%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	3	14	17
Picked	0	1	1
Done	0	1	1
Total	85	18	103

Merged error: 12.1b

Counts

103 → 18

Compiler

Compiled 1589 to 552 computations (65.3% saved)

regimes211.0ms (2.9%)

Compiler: Compiled 2181 to 1398 computations (35.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	23
1	33	23

end0.0ms (0%)

sample4.2s (56.3%)

Algorithm

1×

intervals

Results

2.1s	1098×	body	2048	valid
675.0ms	1772×	body	1024	valid
439.0ms	57×	body	4096	valid
213.0ms	4073×	body	128	valid
147.0ms	706×	body	512	valid
37.0ms	294×	body	256	valid
9.0ms	163×	body	128	invalid
9.0ms	11×	body	2048	invalid
2.0ms	4×	body	8192	exit

Compiler

Compiled 357 to 230 computations (35.6% saved)

Details

analyze888.0ms (12%)

sample137.0ms (1.9%)

simplify182.0ms (2.5%)

prune6.0ms (0.1%)

localize16.0ms (0.2%)

rewrite23.0ms (0.3%)

series292.0ms (4%)

simplify65.0ms (0.9%)

prune96.0ms (1.3%)

localize8.0ms (0.1%)

rewrite19.0ms (0.3%)

series263.0ms (3.6%)

simplify68.0ms (0.9%)

prune82.0ms (1.1%)

localize10.0ms (0.1%)

rewrite19.0ms (0.3%)

series247.0ms (3.3%)

simplify70.0ms (1%)

prune90.0ms (1.2%)

localize10.0ms (0.1%)

rewrite19.0ms (0.3%)

series264.0ms (3.6%)

simplify69.0ms (0.9%)

prune71.0ms (1%)

regimes211.0ms (2.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.2s (56.3%)

Profiling