Details

analyze334.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6.1%	20.4%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.2%	16.6%	74.3%	14

sample46.0ms

Algorithm

intervals

Results

14.0ms	191×	body	80	valid
11.0ms	27×	body	640	valid
4.0ms	17×	body	320	valid
4.0ms	4×	body	1280	valid
2.0ms	17×	body	160	valid
1.0ms	8×	body	80	nan

simplify170.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (158.0ms)

Iter	Nodes	Cost
0	5004	26

prune2.0ms

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: 7.3b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y))))
0.0b	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
0.1b	(*.f64 (-.f64 x 1) (log.f64 y))
8.0b	(log.f64 (-.f64 1 y))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64`
42×	`log-prod_binary64`
38×	`*-un-lft-identity_binary64`
18×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
17×	`add-cube-cbrt_binary64`
14×	`associate-l_binary64` `difference-of-squares_binary64`
12×	`associate-+r+_binary64` `associate-*l/_binary64`
11×	`pow1_binary64`
9×	`add-exp-log_binary64`
8×	`associate-r_binary64` `add-cbrt-cube_binary64`
7×	`flip3--_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
6×	`add-log-exp_binary64` `associate-+l+_binary64`
4×	`frac-add_binary64`
3×	`log-pow_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `log-div_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `rem-log-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 118

Calls

4 calls:

14.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y))))
10.0ms	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
8.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(log.f64 (-.f64 1 y))

series162.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y))))
28.0ms	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
41.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
15.0ms	(log.f64 (-.f64 1 y))

simplify106.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4971	2554
1	4971	2554

prune166.0ms

Filtered

95 candidates to 130 candidates (-36.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	121	9	130
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	122	9	131

Merged error: 0.0b

Counts

131 → 9

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 (-.f64 z 1) (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 (.f64 1/3 y) 1/2))))
0.0b	(.f64 (.f64 y y) (+.f64 (*.f64 1/3 y) 1/2))
0.1b	(*.f64 (-.f64 x 1) (log.f64 y))
0.3b	(*.f64 1/3 y)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64`
18×	`associate-l_binary64`
16×	`pow1_binary64`
15×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`associate-r_binary64` `add-cube-cbrt_binary64`
7×	`flip3--_binary64` `flip--_binary64`
6×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `log-prod_binary64` `prod-exp_binary64`
5×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`add-log-exp_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`
2×	`sub-neg_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64`
1×	`flip3-+_binary64` `log-pow_binary64` `flip-+_binary64`

Counts

4 → 104

Calls

4 calls:

11.0ms	(.f64 (-.f64 z 1) (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 (.f64 1/3 y) 1/2))))
10.0ms	(.f64 (.f64 y y) (+.f64 (*.f64 1/3 y) 1/2))
8.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(*.f64 1/3 y)

series150.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(.f64 (-.f64 z 1) (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 (.f64 1/3 y) 1/2))))
46.0ms	(.f64 (.f64 y y) (+.f64 (*.f64 1/3 y) 1/2))
43.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
14.0ms	(*.f64 1/3 y)

simplify112.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4941	2025
1	4941	2025

prune147.0ms

Filtered

79 candidates to 116 candidates (-46.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	114	2	116
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	114	11	125

Merged error: 0.0b

Counts

125 → 11

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (-.f64 z 1))
0.3b	(cbrt.f64 (-.f64 z 1))
0.3b	(cbrt.f64 (-.f64 z 1))
0.3b	(*.f64 1/3 y)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
21×	`cbrt-prod_binary64`
18×	`*-un-lft-identity_binary64`
9×	`add-cube-cbrt_binary64`
6×	`cbrt-div_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64`
4×	`add-log-exp_binary64`
3×	`flip3--_binary64` `associate-r_binary64` `pow1/3_binary64` `difference-of-sqr-1_binary64` `associate-l_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 69

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 z 1))
3.0ms	(cbrt.f64 (-.f64 z 1))
3.0ms	(cbrt.f64 (-.f64 z 1))
4.0ms	(*.f64 1/3 y)

series103.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(cbrt.f64 (-.f64 z 1))
30.0ms	(cbrt.f64 (-.f64 z 1))
33.0ms	(cbrt.f64 (-.f64 z 1))
11.0ms	(*.f64 1/3 y)

simplify83.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4976	1014
1	4976	1014

prune136.0ms

Filtered

61 candidates to 81 candidates (-32.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	81	11	92

Merged error: 0.0b

Counts

92 → 11

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 y (-.f64 -1 (.f64 y (+.f64 (.f64 1/3 y) 1/2))))) (cbrt.f64 (.f64 y (-.f64 -1 (.f64 y (+.f64 (*.f64 1/3 y) 1/2))))))
0.7b	(cbrt.f64 (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 (*.f64 1/3 y) 1/2))))
0.7b	(cbrt.f64 (.f64 y (-.f64 -1 (.f64 y (+.f64 (*.f64 1/3 y) 1/2)))))
0.7b	(cbrt.f64 (.f64 y (-.f64 -1 (.f64 y (+.f64 (*.f64 1/3 y) 1/2)))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div_binary64` `associate-*r/_binary64`
11×	`pow1_binary64` `add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64` `flip3--_binary64` `pow1/3_binary64` `add-cube-cbrt_binary64` `flip--_binary64` `cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-*l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 74

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 y (-.f64 -1 (.f64 y (+.f64 (.f64 1/3 y) 1/2))))) (cbrt.f64 (.f64 y (-.f64 -1 (.f64 y (+.f64 (*.f64 1/3 y) 1/2))))))
4.0ms	(cbrt.f64 (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 (*.f64 1/3 y) 1/2))))
4.0ms	(cbrt.f64 (.f64 y (-.f64 -1 (.f64 y (+.f64 (*.f64 1/3 y) 1/2)))))
4.0ms	(cbrt.f64 (.f64 y (-.f64 -1 (.f64 y (+.f64 (*.f64 1/3 y) 1/2)))))

series234.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(.f64 (cbrt.f64 (.f64 y (-.f64 -1 (.f64 y (+.f64 (.f64 1/3 y) 1/2))))) (cbrt.f64 (.f64 y (-.f64 -1 (.f64 y (+.f64 (*.f64 1/3 y) 1/2))))))
50.0ms	(cbrt.f64 (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 (*.f64 1/3 y) 1/2))))
55.0ms	(cbrt.f64 (.f64 y (-.f64 -1 (.f64 y (+.f64 (*.f64 1/3 y) 1/2)))))
55.0ms	(cbrt.f64 (.f64 y (-.f64 -1 (.f64 y (+.f64 (*.f64 1/3 y) 1/2)))))

simplify88.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4941	2774
1	4941	2774

prune226.0ms

Filtered

73 candidates to 86 candidates (-17.8%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	86	11	97

Merged error: 0.0b

Counts

97 → 11

regimes163.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify7.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	235	36
1	235	36

end0.0ms

sample1.4s

Algorithm

intervals

Results

417.0ms	5781×	body	80	valid
303.0ms	813×	body	640	valid
198.0ms	277×	body	1280	valid
162.0ms	695×	body	320	valid
64.0ms	434×	body	160	valid
18.0ms	242×	body	80	nan
2.0ms	33×	body	80	invalid

Details

analyze334.0ms

sample46.0ms

simplify170.0ms

prune2.0ms

localize13.0ms

rewrite41.0ms

series162.0ms

simplify106.0ms

prune166.0ms

localize22.0ms

rewrite37.0ms

series150.0ms

simplify112.0ms

prune147.0ms

localize22.0ms

rewrite16.0ms

series103.0ms

simplify83.0ms

prune136.0ms

localize29.0ms

rewrite22.0ms

series234.0ms

simplify88.0ms

prune226.0ms

regimes163.0ms

bsearch0.0ms

simplify7.0ms

end0.0ms

sample1.4s

Profiling