Details

analyze1.2s (10.1%)

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample80.0ms (0.7%)

Algorithm

1×

intervals

Results

32.0ms	37×	body	2048	valid
15.0ms	56×	body	1024	valid
7.0ms	2×	body	4096	valid
7.0ms	130×	body	128	valid
4.0ms	23×	body	512	valid
1.0ms	8×	body	256	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify20.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

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

17.6b

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)
4.1b	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
31.0b	(tan.f64 (*.f64 PI.f64 l))

rewrite141.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

13.2b

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:

9.0ms	(*.f64 PI.f64 l)
7.0ms	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
4.0ms	(*.f64 PI.f64 l)
2.0ms	(tan.f64 (*.f64 PI.f64 l))

Compiler

Compiled 1089 to 236 computations (78.3% saved)

series449.0ms (3.9%)

Error

17.6b

Counts

4 → 15

Calls

4 calls:

308.0ms	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
75.0ms	(tan.f64 (*.f64 PI.f64 l))
31.0ms	(*.f64 PI.f64 l)
26.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 518 to 319 computations (38.4% saved)

simplify71.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5862	910

prune114.0ms (1%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	63	18	81
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	65	18	83

Error

13.2b

Counts

83 → 18

Compiler

Compiled 1205 to 385 computations (68% saved)

localize11.0ms (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)
31.0b	(tan.f64 (*.f64 PI.f64 l))

rewrite148.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

13.2b

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 1220 to 315 computations (74.2% saved)

series431.0ms (3.8%)

Error

13.2b

Counts

4 → 15

Calls

4 calls:

310.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
57.0ms	(tan.f64 (*.f64 PI.f64 l))
29.0ms	(*.f64 PI.f64 l)
25.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 505 to 302 computations (40.2% saved)

simplify73.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4823	1012
1	4823	1012

prune138.0ms (1.2%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	73	14	87
Fresh	10	7	17
Picked	1	0	1
Done	0	0	0
Total	84	21	105

Error

13.2b

Counts

105 → 21

Compiler

Compiled 1418 to 492 computations (65.3% 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)
0.5b	(/.f64 1 (/.f64 F (tan.f64 (*.f64 PI.f64 l))))
31.0b	(tan.f64 (*.f64 PI.f64 l))

rewrite307.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

13.2b

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

Compiler

Compiled 2722 to 972 computations (64.3% saved)

series433.0ms (3.8%)

Error

13.2b

Counts

4 → 15

Calls

4 calls:

311.0ms	(/.f64 1 (/.f64 F (tan.f64 (*.f64 PI.f64 l))))
55.0ms	(tan.f64 (*.f64 PI.f64 l))
28.0ms	(*.f64 PI.f64 l)
28.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 558 to 347 computations (37.8% saved)

simplify114.0ms (1%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4765	2272
1	4765	2272

prune220.0ms (1.9%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	134	5	139
Fresh	5	15	20
Picked	1	0	1
Done	0	0	0
Total	140	20	160

Error

13.2b

Counts

160 → 20

Compiler

Compiled 2223 to 824 computations (62.9% 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)
31.0b	(tan.f64 (*.f64 PI.f64 l))

rewrite161.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

13.2b

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 1354 to 464 computations (65.7% saved)

series432.0ms (3.8%)

Error

13.2b

Counts

4 → 15

Calls

4 calls:

305.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
57.0ms	(tan.f64 (*.f64 PI.f64 l))
31.0ms	(*.f64 PI.f64 l)
30.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 573 to 370 computations (35.4% saved)

simplify73.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4823	1012
1	4823	1012

prune126.0ms (1.1%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	1	18	19
Picked	0	1	1
Done	0	0	0
Total	87	20	107

Error

13.2b

Counts

107 → 20

Compiler

Compiled 1153 to 396 computations (65.7% saved)

regimes4.2s (36.4%)

Accuracy

Total 0.7b remaining (5.7%)

Threshold costs 0.7b (5.7%)

Compiler

Compiled 44673 to 28641 computations (35.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	20
1	39	20

end1.0ms (0%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

sample2.6s (22.3%)

Algorithm

1×

intervals

Results

901.0ms	1038×	body	2048	valid
452.0ms	1762×	body	1024	valid
210.0ms	4128×	body	128	valid
163.0ms	50×	body	4096	valid
122.0ms	715×	body	512	valid
35.0ms	307×	body	256	valid
14.0ms	194×	body	128	invalid
5.0ms	12×	body	2048	invalid
2.0ms	5×	body	8192	exit

Compiler

Compiled 407 to 255 computations (37.3% saved)

Details

analyze1.2s (10.1%)

sample80.0ms (0.7%)

simplify20.0ms (0.2%)

prune7.0ms (0.1%)

localize10.0ms (0.1%)

rewrite141.0ms (1.2%)

series449.0ms (3.9%)

simplify71.0ms (0.6%)

prune114.0ms (1%)

localize11.0ms (0.1%)

rewrite148.0ms (1.3%)

series431.0ms (3.8%)

simplify73.0ms (0.6%)

prune138.0ms (1.2%)

localize10.0ms (0.1%)

rewrite307.0ms (2.7%)

series433.0ms (3.8%)

simplify114.0ms (1%)

prune220.0ms (1.9%)

localize10.0ms (0.1%)

rewrite161.0ms (1.4%)

series432.0ms (3.8%)

simplify73.0ms (0.6%)

prune126.0ms (1.1%)

regimes4.2s (36.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end1.0ms (0%)

sample2.6s (22.3%)

Profiling