Details

analyze714.0ms

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

sample156.0ms

Algorithm

intervals

Results

85.0ms	27×	body	2560	valid
41.0ms	67×	body	1280	valid
9.0ms	121×	body	80	valid
7.0ms	27×	body	640	valid
2.0ms	13×	body	320	valid
0.0ms	4×	body	80	invalid
0.0ms	1×	body	160	valid

simplify420.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	298	12
1	298	12

prune9.0ms

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: 18.5b

Counts

2 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 PI.f64 l)
0.2b	(*.f64 PI.f64 l)
4.0b	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
31.6b	(tan.f64 (*.f64 PI.f64 l))

rewrite22.0ms

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))

series49.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(*.f64 PI.f64 l)
3.0ms	(*.f64 PI.f64 l)
22.0ms	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
21.0ms	(tan.f64 (*.f64 PI.f64 l))

simplify59.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5225	541

prune96.0ms

Filtered

53 candidates to 78 candidates (-47.2%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	59	19	78
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	60	20	80

Merged error: 14.2b

Counts

80 → 20

localize9.0ms

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)
31.6b	(tan.f64 (*.f64 PI.f64 l))

rewrite16.0ms

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:

5.0ms	(/.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))

series36.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
2.0ms	(*.f64 PI.f64 l)
3.0ms	(*.f64 PI.f64 l)
10.0ms	(tan.f64 (*.f64 PI.f64 l))

simplify78.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4715	594
1	4715	594

prune74.0ms

Filtered

59 candidates to 84 candidates (-42.4%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	81	3	84
Fresh	2	17	19
Picked	0	1	1
Done	0	0	0
Total	83	21	104

Merged error: 14.2b

Counts

104 → 21

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 PI.f64 l)
0.2b	(/.f64 F (tan.f64 (*.f64 PI.f64 l)))
0.6b	(/.f64 1 (/.f64 F (tan.f64 (*.f64 PI.f64 l))))
31.6b	(tan.f64 (*.f64 PI.f64 l))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 134

Calls

4 calls:

4.0ms	(*.f64 PI.f64 l)
5.0ms	(/.f64 F (tan.f64 (*.f64 PI.f64 l)))
8.0ms	(/.f64 1 (/.f64 F (tan.f64 (*.f64 PI.f64 l))))
2.0ms	(tan.f64 (*.f64 PI.f64 l))

series64.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(*.f64 PI.f64 l)
29.0ms	(/.f64 F (tan.f64 (*.f64 PI.f64 l)))
20.0ms	(/.f64 1 (/.f64 F (tan.f64 (*.f64 PI.f64 l))))
12.0ms	(tan.f64 (*.f64 PI.f64 l))

simplify57.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4903	1555
1	4903	1555

prune102.0ms

Filtered

96 candidates to 146 candidates (-52.1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	142	4	146
Fresh	8	11	19
Picked	1	0	1
Done	1	0	1
Total	152	15	167

Merged error: 9.4b

Counts

167 → 15

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 PI.f64 l)
0.2b	(*.f64 PI.f64 l)
0.3b	(.f64 1/3 (.f64 (*.f64 PI.f64 l) F))
0.8b	(/.f64 1 (-.f64 (/.f64 F (.f64 PI.f64 l)) (.f64 1/3 (.f64 (.f64 PI.f64 l) F))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log_binary64` `add-sqr-sqrt_binary64`
19×	`add-cbrt-cube_binary64`
18×	`pow1_binary64`
17×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`associate-l_binary64` `times-frac_binary64`
8×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
7×	`associate-r_binary64`
4×	`add-log-exp_binary64`
3×	`associate-/r_binary64` `associate-/l_binary64` `*-commutative_binary64`
2×	`associate-/r/_binary64` `unswap-sqr_binary64` `div-exp_binary64`
1×	`flip3--_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `rec-exp_binary64` `div-inv_binary64` `flip--_binary64` `pow-flip_binary64`

Counts

4 → 90

Calls

4 calls:

4.0ms	(*.f64 PI.f64 l)
4.0ms	(*.f64 PI.f64 l)
8.0ms	(.f64 1/3 (.f64 (*.f64 PI.f64 l) F))
14.0ms	(/.f64 1 (-.f64 (/.f64 F (.f64 PI.f64 l)) (.f64 1/3 (.f64 (.f64 PI.f64 l) F))))

series30.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(*.f64 PI.f64 l)
3.0ms	(*.f64 PI.f64 l)
5.0ms	(.f64 1/3 (.f64 (*.f64 PI.f64 l) F))
19.0ms	(/.f64 1 (-.f64 (/.f64 F (.f64 PI.f64 l)) (.f64 1/3 (.f64 (.f64 PI.f64 l) F))))

simplify40.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5199	1081

prune61.0ms

Filtered

63 candidates to 102 candidates (-61.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	2	12	14
Picked	1	0	1
Done	0	0	0
Total	103	14	117

Merged error: 0.2b

Counts

117 → 14

regimes344.0ms

Accuracy

0% (0.4b remaining)

Error of 0.7b against oracle of 0.3b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	59	22
1	59	22

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.4s	809×	body	2560	valid
980.0ms	1687×	body	1280	valid
248.0ms	913×	body	640	valid
203.0ms	4006×	body	80	valid
67.0ms	388×	body	320	valid
23.0ms	197×	body	160	valid
10.0ms	183×	body	80	invalid
6.0ms	10×	body	1280	invalid
3.0ms	8×	body	5120	exit
2.0ms	1×	body	2560	invalid

Details

analyze714.0ms

sample156.0ms

simplify420.0ms

prune9.0ms

localize20.0ms

rewrite22.0ms

series49.0ms

simplify59.0ms

prune96.0ms

localize9.0ms

rewrite16.0ms

series36.0ms

simplify78.0ms

prune74.0ms

localize10.0ms

rewrite24.0ms

series64.0ms

simplify57.0ms

prune102.0ms

localize11.0ms

rewrite32.0ms

series30.0ms

simplify40.0ms

prune61.0ms

regimes344.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample4.1s

Profiling