Details

analyze729.0ms

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
32.8%	67.1%	0.1%	8
38.2%	61.7%	0.1%	9
41%	58.9%	0.1%	10
43.9%	56%	0.1%	11
45.4%	54.5%	0.1%	12
46.9%	53%	0.1%	13
47.6%	52.3%	0.1%	14

sample80.0ms

Algorithm

intervals

Results

30.0ms	31×	body	2560	valid
18.0ms	38×	body	1280	valid
9.0ms	127×	body	80	valid
8.0ms	26×	body	640	valid
5.0ms	24×	body	320	valid
2.0ms	10×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

prune3.0ms

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: 34.8b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

5.0b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2.0))) (sin.f64 (/.f64 x (.f64 y 2.0))))
30.1b	(sin.f64 (/.f64 x (*.f64 y 2.0)))
30.2b	(tan.f64 (/.f64 x (*.f64 y 2.0)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-/l_binary64`
2×	`tan-quot_binary64`
1×	`associate-/l/_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

3 → 43

Calls

3 calls:

5.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2.0))) (sin.f64 (/.f64 x (.f64 y 2.0))))
2.0ms	(sin.f64 (/.f64 x (*.f64 y 2.0)))
2.0ms	(tan.f64 (/.f64 x (*.f64 y 2.0)))

series45.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2.0))) (sin.f64 (/.f64 x (.f64 y 2.0))))
4.0ms	(sin.f64 (/.f64 x (*.f64 y 2.0)))
20.0ms	(tan.f64 (/.f64 x (*.f64 y 2.0)))

simplify40.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5037	733

prune126.0ms

Filtered

44 candidates to 52 candidates (-18.2%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	35	17	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	36	17	53

Merged error: 27.0b

Counts

53 → 17

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify5.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune43.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	16	16
Picked	1	1
Done	0	0
Total	17	17

Merged error: 27.0b

Counts

17 → 17

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2.0))) (sin.f64 (/.f64 x (.f64 y 2.0)))) 3)
5.0b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2.0))) (sin.f64 (/.f64 x (.f64 y 2.0))))
30.1b	(sin.f64 (/.f64 x (*.f64 y 2.0)))
30.2b	(tan.f64 (/.f64 x (*.f64 y 2.0)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
13×	`unpow-prod-down_binary64` `cube-prod_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64`
4×	`add-log-exp_binary64`
3×	`pow-unpow_binary64` `associate-/r_binary64` `associate-/l_binary64` `div-inv_binary64`
2×	`cbrt-undiv_binary64` `rem-cube-cbrt_binary64` `div-exp_binary64` `pow-exp_binary64` `tan-quot_binary64`
1×	`pow-to-exp_binary64` `associate-/l/_binary64` `pow-pow_binary64` `sqr-pow_binary64` `cube-div_binary64` `clear-num_binary64` `frac-2neg_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 89

Calls

4 calls:

6.0ms	(pow.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2.0))) (sin.f64 (/.f64 x (.f64 y 2.0)))) 3)
6.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2.0))) (sin.f64 (/.f64 x (.f64 y 2.0))))
2.0ms	(sin.f64 (/.f64 x (*.f64 y 2.0)))
2.0ms	(tan.f64 (/.f64 x (*.f64 y 2.0)))

series69.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(pow.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2.0))) (sin.f64 (/.f64 x (.f64 y 2.0)))) 3)
21.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2.0))) (sin.f64 (/.f64 x (.f64 y 2.0))))
4.0ms	(sin.f64 (/.f64 x (*.f64 y 2.0)))
16.0ms	(tan.f64 (/.f64 x (*.f64 y 2.0)))

simplify53.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5530	1719

prune155.0ms

Filtered

67 candidates to 101 candidates (-50.7%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	91	10	101
Fresh	5	10	15
Picked	1	0	1
Done	0	1	1
Total	97	21	118

Merged error: 27.0b

Counts

118 → 21

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2.0))) (sin.f64 (/.f64 x (.f64 y 2.0)))) 3)) 3)
5.0b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2.0))) (sin.f64 (/.f64 x (.f64 y 2.0))))
30.1b	(sin.f64 (/.f64 x (*.f64 y 2.0)))
30.2b	(tan.f64 (/.f64 x (*.f64 y 2.0)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

64×	`cbrt-prod_binary64`
61×	`unpow-prod-down_binary64` `cube-prod_binary64`
45×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64`
6×	`add-cbrt-cube_binary64`
5×	`pow1_binary64` `div-inv_binary64`
4×	`add-log-exp_binary64`
3×	`pow-unpow_binary64` `associate-/r_binary64` `sqr-pow_binary64` `associate-/l_binary64` `unpow3_binary64` `cube-mult_binary64`
2×	`pow-pow_binary64` `cube-div_binary64` `tan-quot_binary64`
1×	`cbrt-div_binary64` `pow-to-exp_binary64` `associate-/l/_binary64` `cbrt-undiv_binary64` `pow1/3_binary64` `clear-num_binary64` `rem-cube-cbrt_binary64` `frac-2neg_binary64` `div-exp_binary64` `pow-exp_binary64`

Counts

4 → 132

Calls

4 calls:

10.0ms	(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2.0))) (sin.f64 (/.f64 x (.f64 y 2.0)))) 3)) 3)
6.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2.0))) (sin.f64 (/.f64 x (.f64 y 2.0))))
2.0ms	(sin.f64 (/.f64 x (*.f64 y 2.0)))
2.0ms	(tan.f64 (/.f64 x (*.f64 y 2.0)))

series72.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2.0))) (sin.f64 (/.f64 x (.f64 y 2.0)))) 3)) 3)
21.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2.0))) (sin.f64 (/.f64 x (.f64 y 2.0))))
4.0ms	(sin.f64 (/.f64 x (*.f64 y 2.0)))
16.0ms	(tan.f64 (/.f64 x (*.f64 y 2.0)))

simplify65.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5918	2811

prune105.0ms

Filtered

70 candidates to 144 candidates (-105.7%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	141	3	144
Fresh	3	16	19
Picked	0	1	1
Done	0	1	1
Total	144	21	165

Merged error: 27.0b

Counts

165 → 21

regimes474.0ms

Accuracy

0% (2.3b remaining)

Error of 28.7b against oracle of 26.3b and baseline of 28.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	1	1
1	1	1

end0.0ms

sample2.3s

Algorithm

intervals

Results

682.0ms	1366×	body	1280	valid
661.0ms	662×	body	2560	valid
322.0ms	1005×	body	640	valid
300.0ms	4078×	body	80	valid
141.0ms	584×	body	320	valid
53.0ms	305×	body	160	valid

Details

analyze729.0ms

sample80.0ms

simplify5.0ms

prune3.0ms

localize9.0ms

rewrite11.0ms

series45.0ms

simplify40.0ms

prune126.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify5.0ms

prune43.0ms

localize12.0ms

rewrite20.0ms

series69.0ms

simplify53.0ms

prune155.0ms

localize15.0ms

rewrite26.0ms

series72.0ms

simplify65.0ms

prune105.0ms

regimes474.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.3s

Profiling