Details

analyze872.0ms (9.1%)

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)

sample72.0ms (0.8%)

Algorithm

1×

intervals

Results

22.0ms	28×	body	2048	valid
18.0ms	73×	body	1024	valid
8.0ms	2×	body	4096	valid
6.0ms	119×	body	128	valid
4.0ms	24×	body	512	valid
1.0ms	10×	body	256	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify119.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	299	20
1	299	20

prune7.0ms (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

17.1b

Counts

2 → 2

Compiler

Compiled 38 to 26 computations (31.6% saved)

localize10.0ms (0.1%)

Local error

Found 8 expressions with local error:

32.4b	(tan.f64 (*.f64 PI.f64 l))
5.1b	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
0.2b	(*.f64 PI.f64 l)
0.2b	(*.f64 PI.f64 l)
0.2b	(*.f64 PI.f64 l)
0.2b	(*.f64 PI.f64 l)
5.1b	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
32.4b	(tan.f64 (*.f64 PI.f64 l))

rewrite22.0ms (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×	`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

8 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))
0.0ms	(*.f64 PI.f64 l)

series340.0ms (3.5%)

Counts

4 → 21

Calls

4 calls:

223.0ms	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
78.0ms	(tan.f64 (*.f64 PI.f64 l))
20.0ms	(*.f64 PI.f64 l)
19.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 614 to 420 computations (31.6% saved)

simplify109.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4918	1168
1	4918	1168

prune139.0ms (1.5%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	72	15	87
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	74	15	89

Error

12.0b

Counts

89 → 15

Compiler

Compiled 1757 to 486 computations (72.3% saved)

localize8.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.3b	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
0.2b	(*.f64 PI.f64 l)
0.2b	(*.f64 PI.f64 l)
0.2b	(/.f64 (/.f64 (tan.f64 (*.f64 PI.f64 l)) F) F)
0.2b	(*.f64 PI.f64 l)
0.2b	(*.f64 PI.f64 l)
0.3b	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
32.4b	(tan.f64 (*.f64 PI.f64 l))

rewrite18.0ms (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

8 calls:

4.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
4.0ms	(*.f64 PI.f64 l)
3.0ms	(*.f64 PI.f64 l)
2.0ms	(tan.f64 (*.f64 PI.f64 l))
0.0ms	(/.f64 (/.f64 (tan.f64 (*.f64 PI.f64 l)) F) F)

series318.0ms (3.3%)

Counts

4 → 21

Calls

4 calls:

219.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
62.0ms	(tan.f64 (*.f64 PI.f64 l))
19.0ms	(*.f64 PI.f64 l)
18.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 602 to 394 computations (34.6% saved)

simplify75.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4906	1243
1	4906	1243

prune90.0ms (0.9%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	2	12	14
Picked	1	0	1
Done	0	0	0
Total	93	15	108

Error

11.9b

Counts

108 → 15

Compiler

Compiled 1885 to 565 computations (70% saved)

localize10.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.3b	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
0.2b	(*.f64 PI.f64 l)
0.2b	(*.f64 PI.f64 l)
0.1b	(/.f64 F (/.f64 (tan.f64 (*.f64 PI.f64 l)) F))
0.2b	(*.f64 PI.f64 l)
0.3b	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
0.4b	(/.f64 1 (/.f64 F (/.f64 (tan.f64 (*.f64 PI.f64 l)) F)))
32.4b	(tan.f64 (*.f64 PI.f64 l))

rewrite60.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

405×	`times-frac_binary64`
201×	`add-sqr-sqrt_binary64`
199×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
47×	`associate-/r*_binary64`
29×	`add-exp-log_binary64`
18×	`div-inv_binary64`
17×	`add-cbrt-cube_binary64`
16×	`div-exp_binary64`
7×	`pow1_binary64` `cbrt-undiv_binary64`
6×	`associate-/l*_binary64`
5×	`associate-/r/_binary64`
4×	`add-log-exp_binary64`
3×	`associate-r_binary64` `1-exp_binary64` `associate-l_binary64` `rec-exp_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64` `tan-quot_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `inv-pow_binary64` `prod-exp_binary64` `pow-flip_binary64` `*-commutative_binary64`

Counts

4 → 258

Calls

8 calls:

13.0ms	(/.f64 1 (/.f64 F (/.f64 (tan.f64 (*.f64 PI.f64 l)) F)))
4.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
4.0ms	(*.f64 PI.f64 l)
2.0ms	(tan.f64 (*.f64 PI.f64 l))
0.0ms	(/.f64 F (/.f64 (tan.f64 (*.f64 PI.f64 l)) F))

series515.0ms (5.4%)

Counts

4 → 27

Calls

4 calls:

222.0ms	(/.f64 1 (/.f64 F (/.f64 (tan.f64 (*.f64 PI.f64 l)) F)))
220.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
52.0ms	(tan.f64 (*.f64 PI.f64 l))
21.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 884 to 610 computations (31% saved)

simplify143.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

285 → 285

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5050	7206

prune312.0ms (3.3%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	281	4	285
Fresh	2	12	14
Picked	0	1	1
Done	0	0	0
Total	283	17	300

Error

11.9b

Counts

300 → 17

Compiler

Compiled 6951 to 2040 computations (70.7% saved)

localize16.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.2b	(*.f64 PI.f64 l)
0.2b	(*.f64 PI.f64 l)
0.2b	(/.f64 (cbrt.f64 (tan.f64 (*.f64 PI.f64 l))) F)
0.2b	(.f64 (/.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) (cbrt.f64 (tan.f64 (.f64 PI.f64 l)))) F) (/.f64 (cbrt.f64 (tan.f64 (*.f64 PI.f64 l))) F))
0.5b	(.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) (cbrt.f64 (tan.f64 (*.f64 PI.f64 l))))
32.4b	(tan.f64 (*.f64 PI.f64 l))
32.4b	(tan.f64 (*.f64 PI.f64 l))
32.4b	(tan.f64 (*.f64 PI.f64 l))

rewrite21.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
16×	`cbrt-prod_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
7×	`tan-quot_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `pow1/3_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`cbrt-div_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `associate-r/_binary64` `pow-plus_binary64` `prod-exp_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 67

Calls

8 calls:

8.0ms	(.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) (cbrt.f64 (tan.f64 (*.f64 PI.f64 l))))
2.0ms	(tan.f64 (*.f64 PI.f64 l))
2.0ms	(tan.f64 (*.f64 PI.f64 l))
2.0ms	(tan.f64 (*.f64 PI.f64 l))
0.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) (cbrt.f64 (tan.f64 (.f64 PI.f64 l)))) F) (/.f64 (cbrt.f64 (tan.f64 (*.f64 PI.f64 l))) F))

series427.0ms (4.5%)

Counts

4 → 24

Calls

4 calls:

251.0ms	(.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) (cbrt.f64 (tan.f64 (*.f64 PI.f64 l))))
61.0ms	(tan.f64 (*.f64 PI.f64 l))
59.0ms	(tan.f64 (*.f64 PI.f64 l))
55.0ms	(tan.f64 (*.f64 PI.f64 l))

Compiler

Compiled 1186 to 732 computations (38.3% saved)

simplify68.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4955	1555
1	4955	1555

prune100.0ms (1%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	0	15	15
Picked	1	0	1
Done	0	1	1
Total	91	17	108

Error

11.9b

Counts

108 → 17

Compiler

Compiled 2716 to 634 computations (76.7% saved)

simplify37.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	1253	1791
1	1253	1791

regimes476.0ms (5%)

Accuracy

Total 0.7b remaining (5.9%)

Threshold costs 0.7b (5.9%)

Compiler

Compiled 5794 to 3448 computations (40.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	20
1	34	20

end0.0ms (0%)

sample5.2s (54.3%)

Algorithm

1×

intervals

Results

832.0ms	986×	body	2048	valid
455.0ms	1854×	body	1024	valid
214.0ms	4076×	body	128	valid
176.0ms	54×	body	4096	valid
124.0ms	722×	body	512	valid
37.0ms	308×	body	256	valid
9.0ms	165×	body	128	invalid
3.0ms	8×	body	2048	invalid
1.0ms	3×	body	8192	exit

Compiler

Compiled 3186 to 1879 computations (41% saved)

Pareto

0.7160700177487587

Details

analyze872.0ms (9.1%)

sample72.0ms (0.8%)

simplify119.0ms (1.2%)

prune7.0ms (0.1%)

localize10.0ms (0.1%)

rewrite22.0ms (0.2%)

series340.0ms (3.5%)

simplify109.0ms (1.1%)

prune139.0ms (1.5%)

localize8.0ms (0.1%)

rewrite18.0ms (0.2%)

series318.0ms (3.3%)

simplify75.0ms (0.8%)

prune90.0ms (0.9%)

localize10.0ms (0.1%)

rewrite60.0ms (0.6%)

series515.0ms (5.4%)

simplify143.0ms (1.5%)

prune312.0ms (3.3%)

localize16.0ms (0.2%)

rewrite21.0ms (0.2%)

series427.0ms (4.5%)

simplify68.0ms (0.7%)

prune100.0ms (1%)

simplify37.0ms (0.4%)

regimes476.0ms (5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample5.2s (54.3%)

Profiling