Details

analyze511.0ms

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
14%	85.8%	0.1%	7
22.6%	77.2%	0.1%	8
23.8%	74.5%	1.7%	9
40%	56%	4%	10
47.3%	48.7%	4%	11
48.4%	45.8%	5.8%	12
58.6%	32.4%	9%	13
63.4%	27.5%	9%	14

sample14.0ms

Algorithm

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	25×	body	128	invalid

simplify172.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (162.0ms)

Iter	Nodes	Cost
0	4906	10
1	4906	10

prune1.0ms

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: 11.8b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 y z))
11.3b	(/.f64 (*.f64 x (+.f64 y z)) z)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
6×	`add-cube-cbrt_binary64`
4×	`pow1_binary64` `associate-r_binary64` `associate-*r/_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64` `times-frac_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

2 → 46

Calls

2 calls:

6.0ms	(*.f64 x (+.f64 y z))
7.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

series140.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(*.f64 x (+.f64 y z))
81.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

simplify87.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4976	553
1	4976	553

prune35.0ms

Filtered

35 candidates to 52 candidates (-48.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	45	7	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	7	53

Merged error: 0.0b

Counts

53 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 z (+.f64 y z))
2.8b	(/.f64 x (/.f64 z (+.f64 y z)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac_binary64`
94×	`*-un-lft-identity_binary64`
62×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
22×	`associate-/r*_binary64`
16×	`distribute-lft-out_binary64`
11×	`associate-/r/_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

2 → 123

Calls

2 calls:

6.0ms	(/.f64 z (+.f64 y z))
9.0ms	(/.f64 x (/.f64 z (+.f64 y z)))

series146.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(/.f64 z (+.f64 y z))
91.0ms	(/.f64 x (/.f64 z (+.f64 y z)))

simplify85.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4967	2384
1	4967	2384

prune71.0ms

Filtered

95 candidates to 129 candidates (-35.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	129	7	136

Merged error: 0b

Counts

136 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 y z) z)
3.0b	(*.f64 x (/.f64 (+.f64 y z) z))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
25×	`add-sqr-sqrt_binary64` `times-frac_binary64`
20×	`add-cube-cbrt_binary64`
16×	`associate-r_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`distribute-lft-out_binary64`
4×	`pow1_binary64` `associate-/l*_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64` `-commutative_binary64`

Counts

2 → 68

Calls

2 calls:

6.0ms	(/.f64 (+.f64 y z) z)
10.0ms	(*.f64 x (/.f64 (+.f64 y z) z))

series116.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/.f64 (+.f64 y z) z)
81.0ms	(*.f64 x (/.f64 (+.f64 y z) z))

simplify46.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5026	932

prune35.0ms

Filtered

50 candidates to 74 candidates (-48.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	74	7	81

Merged error: 0b

Counts

81 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
3.5b	(/.f64 (.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (+.f64 y z)) (cbrt.f64 z))
7.3b	(.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (+.f64 y z))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log_binary64`
19×	`add-cbrt-cube_binary64`
17×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
13×	`add-cube-cbrt_binary64`
12×	`cbrt-prod_binary64`
10×	`times-frac_binary64`
8×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64`
7×	`associate-l_binary64`
6×	`associate-/r*_binary64` `pow1_binary64`
5×	`associate-/l/_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `associate-r_binary64` `associate-*r/_binary64` `flip-+_binary64` `frac-times_binary64`
2×	`pow1/3_binary64` `unswap-sqr_binary64` `div-inv_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `-commutative_binary64`

Counts

4 → 93

Calls

4 calls:

1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
15.0ms	(/.f64 (.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (+.f64 y z)) (cbrt.f64 z))
13.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (+.f64 y z))

series786.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(cbrt.f64 z)
176.0ms	(cbrt.f64 z)
145.0ms	(/.f64 (.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (+.f64 y z)) (cbrt.f64 z))
303.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (+.f64 y z))

simplify132.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (111.0ms)

Iter	Nodes	Cost
0	4923	1425
1	4923	1425

prune67.0ms

Filtered

83 candidates to 105 candidates (-26.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	105	7	112

Merged error: 0b

Counts

112 → 7

regimes78.0ms

Accuracy

-0.8% (2.9b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 2.9b

bsearch17.0ms

Steps

Iters	Range		Point
8	1.1966264204798624e+138	6.439215958990721e+140	4.749321301586014e+140

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	38
1	18	38

end0.0ms

sample409.0ms

Algorithm

intervals

Results

204.0ms	8000×	body	128	valid
21.0ms	731×	body	128	invalid

Details

analyze511.0ms

sample14.0ms

simplify172.0ms

prune1.0ms

localize5.0ms

rewrite17.0ms

series140.0ms

simplify87.0ms

prune35.0ms

localize5.0ms

rewrite30.0ms

series146.0ms

simplify85.0ms

prune71.0ms

localize5.0ms

rewrite21.0ms

series116.0ms

simplify46.0ms

prune35.0ms

localize10.0ms

rewrite41.0ms

series786.0ms

simplify132.0ms

prune67.0ms

regimes78.0ms

bsearch17.0ms

simplify2.0ms

end0.0ms

sample409.0ms

Profiling