Details

analyze1.1s (14.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1027	40
1	1027	40
0	2	2
1	2	2

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

Symmetry

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample74.0ms (1%)

Algorithm

1×

intervals

Results

28.0ms	32×	body	2048	valid
13.0ms	57×	body	1024	valid
7.0ms	135×	body	128	valid
4.0ms	21×	body	512	valid
4.0ms	1×	body	4096	valid
3.0ms	8×	body	128	invalid
1.0ms	10×	body	256	valid

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify21.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

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

17.7b

Counts

2 → 2

Compiler

Compiled 38 to 26 computations (31.6% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 PI.f64 l)
0.2b	(*.f64 PI.f64 l)
6.1b	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
28.9b	(tan.f64 (*.f64 PI.f64 l))

rewrite98.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

11.4b

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)

series286.0ms (3.8%)

Error

17.7b

Counts

4 → 15

Calls

4 calls:

184.0ms	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
57.0ms	(tan.f64 (*.f64 PI.f64 l))
19.0ms	(*.f64 PI.f64 l)
17.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 663 to 339 computations (48.9% saved)

simplify73.0ms (1%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5862	910

prune94.0ms (1.3%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	63	18	81
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	64	19	83

Error

11.4b

Counts

83 → 19

Compiler

Compiled 1622 to 435 computations (73.2% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite75.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

11.4b

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)

series263.0ms (3.5%)

Error

11.4b

Counts

4 → 15

Calls

4 calls:

178.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
36.0ms	(tan.f64 (*.f64 PI.f64 l))
21.0ms	(*.f64 PI.f64 l)
19.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 661 to 302 computations (54.3% saved)

simplify74.0ms (1%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4823	1012
1	4823	1012

prune84.0ms (1.1%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	80	7	87
Fresh	4	14	18
Picked	1	0	1
Done	0	0	0
Total	85	21	106

Error

11.4b

Counts

106 → 21

Compiler

Compiled 1805 to 534 computations (70.4% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite81.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

11.4b

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 498 computations (65.3% saved)

series293.0ms (3.9%)

Error

11.4b

Counts

4 → 15

Calls

4 calls:

201.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
37.0ms	(tan.f64 (*.f64 PI.f64 l))
24.0ms	(*.f64 PI.f64 l)
22.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 751 to 414 computations (44.9% saved)

simplify73.0ms (1%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4823	1012
1	4823	1012

prune89.0ms (1.2%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	84	3	87
Fresh	2	18	20
Picked	1	0	1
Done	0	0	0
Total	87	21	108

Error

11.4b

Counts

108 → 21

Compiler

Compiled 1990 to 768 computations (61.4% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 PI.f64 l)
0.2b	(*.f64 PI.f64 l)
0.5b	(/.f64 1 (/.f64 F (tan.f64 (*.f64 PI.f64 l))))
28.9b	(tan.f64 (*.f64 PI.f64 l))

rewrite147.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

11.4b

Rules

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

Counts

4 → 124

Calls

4 calls:

7.0ms	(/.f64 1 (/.f64 F (tan.f64 (*.f64 PI.f64 l))))
7.0ms	(*.f64 PI.f64 l)
5.0ms	(*.f64 PI.f64 l)
2.0ms	(tan.f64 (*.f64 PI.f64 l))

Compiler

Compiled 3066 to 1260 computations (58.9% saved)

series270.0ms (3.6%)

Error

11.4b

Counts

4 → 15

Calls

4 calls:

178.0ms	(/.f64 1 (/.f64 F (tan.f64 (*.f64 PI.f64 l))))
38.0ms	(tan.f64 (*.f64 PI.f64 l))
22.0ms	(*.f64 PI.f64 l)
21.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 805 to 469 computations (41.7% saved)

simplify115.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4765	2272
1	4765	2272

prune118.0ms (1.6%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	20	20
Picked	0	1	1
Done	0	0	0
Total	139	21	160

Error

11.4b

Counts

160 → 21

Compiler

Compiled 3019 to 1095 computations (63.7% saved)

regimes782.0ms (10.4%)

Accuracy

Total 0.3b remaining (2.4%)

Threshold costs 0.3b (2.4%)

Compiler

Compiled 9714 to 6014 computations (38.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	60	26
1	60	26

Removed

()

end0.0ms (0%)

sample3.3s (43.4%)

Algorithm

1×

intervals

Results

846.0ms	1014×	body	2048	valid
447.0ms	1792×	body	1024	valid
209.0ms	4120×	body	128	valid
127.0ms	39×	body	4096	valid
121.0ms	734×	body	512	valid
33.0ms	301×	body	256	valid
10.0ms	188×	body	128	invalid
2.0ms	5×	body	2048	invalid
1.0ms	3×	body	8192	exit

Compiler

Compiled 1508 to 938 computations (37.8% saved)

Details

analyze1.1s (14.4%)

sample74.0ms (1%)

simplify21.0ms (0.3%)

prune6.0ms (0.1%)

localize10.0ms (0.1%)

rewrite98.0ms (1.3%)

series286.0ms (3.8%)

simplify73.0ms (1%)

prune94.0ms (1.3%)

localize7.0ms (0.1%)

rewrite75.0ms (1%)

series263.0ms (3.5%)

simplify74.0ms (1%)

prune84.0ms (1.1%)

localize8.0ms (0.1%)

rewrite81.0ms (1.1%)

series293.0ms (3.9%)

simplify73.0ms (1%)

prune89.0ms (1.2%)

localize10.0ms (0.1%)

rewrite147.0ms (2%)

series270.0ms (3.6%)

simplify115.0ms (1.5%)

prune118.0ms (1.6%)

regimes782.0ms (10.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.3s (43.4%)

Profiling