Details

analyze745.0ms

Algorithm

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

sample141.0ms

Algorithm

intervals

Results

79.0ms	25×	body	2560	valid
32.0ms	50×	body	1280	valid
8.0ms	142×	body	80	valid
7.0ms	24×	body	640	valid
2.0ms	8×	body	320	valid
1.0ms	7×	body	160	valid
1.0ms	1×	body	5120	exit
0.0ms	8×	body	80	invalid

simplify533.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	300	20
1	300	20

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 13.9b

Counts

2 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 PI.f64 l)
0.2b	(*.f64 PI.f64 l)
2.5b	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
26.6b	(tan.f64 (*.f64 PI.f64 l))

rewrite20.0ms

Algorithm

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:

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

series176.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(*.f64 PI.f64 l)
14.0ms	(*.f64 PI.f64 l)
91.0ms	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
58.0ms	(tan.f64 (*.f64 PI.f64 l))

simplify102.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4868	914
1	4868	914

prune83.0ms

Filtered

53 candidates to 78 candidates (-47.2%)

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: 11.6b

Counts

80 → 18

localize10.0ms

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)
26.6b	(tan.f64 (*.f64 PI.f64 l))

rewrite15.0ms

Algorithm

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

series137.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
13.0ms	(*.f64 PI.f64 l)
13.0ms	(*.f64 PI.f64 l)
42.0ms	(tan.f64 (*.f64 PI.f64 l))

simplify127.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4707	1019
1	4707	1019

prune82.0ms

Filtered

59 candidates to 84 candidates (-42.4%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	79	5	84
Fresh	4	13	17
Picked	1	0	1
Done	0	0	0
Total	84	18	102

Merged error: 11.6b

Counts

102 → 18

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(.f64 (sqrt.f64 PI.f64) (.f64 l (sqrt.f64 PI.f64)))
1.0b	(sqrt.f64 PI.f64)
1.0b	(sqrt.f64 PI.f64)
26.6b	(tan.f64 (.f64 (sqrt.f64 PI.f64) (.f64 l (sqrt.f64 PI.f64))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`associate-l_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
1×	`associate-r_binary64` `tan-quot_binary64` `*-commutative_binary64`

Counts

4 → 55

Calls

4 calls:

7.0ms	(.f64 (sqrt.f64 PI.f64) (.f64 l (sqrt.f64 PI.f64)))
1.0ms	(sqrt.f64 PI.f64)
1.0ms	(sqrt.f64 PI.f64)
3.0ms	(tan.f64 (.f64 (sqrt.f64 PI.f64) (.f64 l (sqrt.f64 PI.f64))))

series55.0ms

Counts

4 → 8

Calls

4 calls:

14.0ms	(.f64 (sqrt.f64 PI.f64) (.f64 l (sqrt.f64 PI.f64)))
0.0ms	(sqrt.f64 PI.f64)
0.0ms	(sqrt.f64 PI.f64)
41.0ms	(tan.f64 (.f64 (sqrt.f64 PI.f64) (.f64 l (sqrt.f64 PI.f64))))

simplify109.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4947	538
1	4947	538

prune67.0ms

Filtered

46 candidates to 63 candidates (-37.0%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	61	2	63
Fresh	1	16	17
Picked	1	0	1
Done	0	0	0
Total	63	18	81

Merged error: 11.6b

Counts

81 → 18

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 (sqrt.f64 (sqrt.f64 PI.f64)) (.f64 l (pow.f64 (sqrt.f64 PI.f64) 3/2)))
1.0b	(sqrt.f64 PI.f64)
1.0b	(sqrt.f64 PI.f64)
26.5b	(tan.f64 (.f64 (sqrt.f64 (sqrt.f64 PI.f64)) (.f64 l (pow.f64 (sqrt.f64 PI.f64) 3/2))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

15×	`sqrt-prod_binary64`
14×	`add-exp-log_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-cbrt-cube_binary64` `associate-l*_binary64`
8×	`pow1_binary64`
7×	`prod-exp_binary64`
4×	`add-log-exp_binary64`
3×	`cbrt-unprod_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
1×	`pow-to-exp_binary64` `pow-prod-down_binary64` `associate-r_binary64` `pow-exp_binary64` `tan-quot_binary64` `*-commutative_binary64`

Counts

4 → 59

Calls

4 calls:

10.0ms	(.f64 (sqrt.f64 (sqrt.f64 PI.f64)) (.f64 l (pow.f64 (sqrt.f64 PI.f64) 3/2)))
1.0ms	(sqrt.f64 PI.f64)
1.0ms	(sqrt.f64 PI.f64)
3.0ms	(tan.f64 (.f64 (sqrt.f64 (sqrt.f64 PI.f64)) (.f64 l (pow.f64 (sqrt.f64 PI.f64) 3/2))))

series62.0ms

Counts

4 → 8

Calls

4 calls:

18.0ms	(.f64 (sqrt.f64 (sqrt.f64 PI.f64)) (.f64 l (pow.f64 (sqrt.f64 PI.f64) 3/2)))
0.0ms	(sqrt.f64 PI.f64)
0.0ms	(sqrt.f64 PI.f64)
44.0ms	(tan.f64 (.f64 (sqrt.f64 (sqrt.f64 PI.f64)) (.f64 l (pow.f64 (sqrt.f64 PI.f64) 3/2))))

simplify79.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5067	987

prune63.0ms

Filtered

47 candidates to 67 candidates (-42.6%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	62	5	67
Fresh	3	14	17
Picked	1	0	1
Done	0	0	0
Total	66	19	85

Merged error: 11.5b

Counts

85 → 19

regimes261.0ms

Accuracy

0% (0.3b remaining)

Error of 12.5b against oracle of 12.3b and baseline of 12.5b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	79	46
1	79	46

end0.0ms

sample4.4s

Algorithm

intervals

Results

2.6s	857×	body	2560	valid
972.0ms	1626×	body	1280	valid
293.0ms	981×	body	640	valid
219.0ms	3930×	body	80	valid
73.0ms	387×	body	320	valid
28.0ms	219×	body	160	valid
11.0ms	179×	body	80	invalid
3.0ms	7×	body	5120	exit
2.0ms	1×	body	2560	invalid
1.0ms	2×	body	1280	invalid

Details

analyze745.0ms

sample141.0ms

simplify533.0ms

prune7.0ms

localize11.0ms

rewrite20.0ms

series176.0ms

simplify102.0ms

prune83.0ms

localize10.0ms

rewrite15.0ms

series137.0ms

simplify127.0ms

prune82.0ms

localize14.0ms

rewrite14.0ms

series55.0ms

simplify109.0ms

prune67.0ms

localize18.0ms

rewrite17.0ms

series62.0ms

simplify79.0ms

prune63.0ms

regimes261.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample4.4s

Profiling