Details

analyze2.5s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
5.1%	94.6%	0.3%	13
7%	92.7%	0.3%	14

sample69.0ms

Algorithm

intervals

Results

22.0ms	256×	body	80	valid
9.0ms	61×	body	80	invalid
9.0ms	100×	body	80	nan

simplify46.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5298	27

prune10.0ms

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: 13.1b

Counts

2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

2.4b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
4.7b	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))
6.2b	(/.f64 (.f64 M D) (.f64 2 d))
8.4b	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))

rewrite238.0ms

Algorithm

rewrite-expression-head

Rules

67×	`add-exp-log_binary64`
38×	`add-sqr-sqrt_binary64`
27×	`prod-exp_binary64`
23×	`add-cbrt-cube_binary64`
19×	`associate-r_binary64` `div-exp_binary64`
17×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
15×	`times-frac_binary64`
13×	`associate-l_binary64`
10×	`unswap-sqr_binary64` `pow-exp_binary64`
7×	`pow1_binary64` `cbrt-unprod_binary64` `unpow-prod-down_binary64` `sqrt-prod_binary64`
5×	`cbrt-undiv_binary64`
4×	`add-log-exp_binary64` `sqrt-div_binary64`
3×	`unpow2_binary64` `associate-*r/_binary64` `sqr-pow_binary64` `div-inv_binary64`
2×	`pow-to-exp_binary64` `flip3--_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`pow-prod-down_binary64` `associate-/r_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64`

Counts

4 → 116

Calls

4 calls:

8.0ms	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
4.0ms	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))
6.0ms	(/.f64 (.f64 M D) (.f64 2 d))
11.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))

series582.0ms

Counts

4 → 12

Calls

4 calls:

295.0ms	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
171.0ms	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))
22.0ms	(/.f64 (.f64 M D) (.f64 2 d))
93.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))

simplify81.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4991	2852
1	4991	2852

prune502.0ms

Filtered

83 candidates to 128 candidates (-54.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	121	7	128
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	122	7	129

Merged error: 8.0b

Counts

129 → 7

localize39.0ms

Local error

Found 4 expressions with local error:

6.2b	(/.f64 (.f64 M D) (.f64 2 d))
16.3b	(cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d)))
16.3b	(cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d)))
16.3b	(cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
15×	`cbrt-prod_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `times-frac_binary64` `div-inv_binary64` `div-exp_binary64`
3×	`cbrt-div_binary64` `pow1/3_binary64`
1×	`associate-/r_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64`

Counts

4 → 63

Calls

4 calls:

6.0ms	(/.f64 (.f64 M D) (.f64 2 d))
4.0ms	(cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d)))
4.0ms	(cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d)))
4.0ms	(cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d)))

series328.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/.f64 (.f64 M D) (.f64 2 d))
101.0ms	(cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d)))
100.0ms	(cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d)))
103.0ms	(cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d)))

simplify75.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5220	1180

prune405.0ms

Filtered

59 candidates to 75 candidates (-27.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	74	8	82

Merged error: 8.0b

Counts

82 → 8

localize46.0ms

Local error

Found 4 expressions with local error:

6.2b	(/.f64 (.f64 M D) (.f64 2 d))
13.5b	(cbrt.f64 (*.f64 M D))
16.3b	(cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d)))
16.3b	(cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`cbrt-prod_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64`
3×	`pow1/3_binary64` `times-frac_binary64` `div-inv_binary64`
2×	`cbrt-div_binary64`
1×	`associate-/r_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64`

Counts

4 → 58

Calls

4 calls:

6.0ms	(/.f64 (.f64 M D) (.f64 2 d))
2.0ms	(cbrt.f64 (*.f64 M D))
4.0ms	(cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d)))
4.0ms	(cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d)))

series291.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/.f64 (.f64 M D) (.f64 2 d))
61.0ms	(cbrt.f64 (*.f64 M D))
100.0ms	(cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d)))
105.0ms	(cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d)))

simplify80.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5206	966

prune376.0ms

Filtered

53 candidates to 70 candidates (-32.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	70	8	78

Merged error: 8.0b

Counts

78 → 8

localize24.0ms

Local error

Found 4 expressions with local error:

4.1b	(.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) h) (/.f64 1 l))
4.7b	(sqrt.f64 (-.f64 1 (.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) h) (/.f64 1 l))))
5.4b	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) h)
6.2b	(/.f64 (.f64 M D) (.f64 2 d))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

135×	`add-exp-log_binary64`
72×	`prod-exp_binary64`
30×	`add-cbrt-cube_binary64`
28×	`div-exp_binary64`
22×	`add-sqr-sqrt_binary64`
20×	`pow-exp_binary64`
16×	`associate-r_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`cbrt-unprod_binary64` `associate-l_binary64` `times-frac_binary64`
8×	`rec-exp_binary64`
7×	`pow1_binary64`
6×	`cbrt-undiv_binary64` `unpow-prod-down_binary64`
4×	`pow-to-exp_binary64` `add-log-exp_binary64` `unswap-sqr_binary64`
3×	`div-inv_binary64` `sqrt-prod_binary64`
2×	`unpow2_binary64` `sqr-pow_binary64` `sqrt-div_binary64` `*-commutative_binary64`
1×	`pow-prod-down_binary64` `associate-/r_binary64` `pow1/2_binary64` `flip3--_binary64` `associate-r/_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `un-div-inv_binary64` `flip--_binary64`

Counts

4 → 122

Calls

4 calls:

12.0ms	(.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) h) (/.f64 1 l))
4.0ms	(sqrt.f64 (-.f64 1 (.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) h) (/.f64 1 l))))
7.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) h)
6.0ms	(/.f64 (.f64 M D) (.f64 2 d))

series382.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) h) (/.f64 1 l))
176.0ms	(sqrt.f64 (-.f64 1 (.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) h) (/.f64 1 l))))
89.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) h)
26.0ms	(/.f64 (.f64 M D) (.f64 2 d))

simplify84.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5063	2605

prune417.0ms

Filtered

76 candidates to 134 candidates (-76.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	131	3	134
Fresh	1	4	5
Picked	1	0	1
Done	1	1	2
Total	134	8	142

Merged error: 7.5b

Counts

142 → 8

regimes1.9s

Accuracy

28.6% (2.1b remaining)

Error of 9.7b against oracle of 7.6b and baseline of 10.5b

bsearch1.0ms

simplify6.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	196	181
1	196	181

end0.0ms

sample1.7s

Algorithm

intervals

Results

705.0ms	8000×	body	80	valid
273.0ms	3127×	body	80	nan
125.0ms	1358×	body	80	invalid

Details

analyze2.5s

sample69.0ms

simplify46.0ms

prune10.0ms

localize22.0ms

rewrite238.0ms

series582.0ms

simplify81.0ms

prune502.0ms

localize39.0ms

rewrite20.0ms

series328.0ms

simplify75.0ms

prune405.0ms

localize46.0ms

rewrite18.0ms

series291.0ms

simplify80.0ms

prune376.0ms

localize24.0ms

rewrite34.0ms

series382.0ms

simplify84.0ms

prune417.0ms

regimes1.9s

bsearch1.0ms

simplify6.0ms

end0.0ms

sample1.7s

Profiling