Details

analyze60.0ms

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
25%	74.9%	0.1%	5
37.5%	50%	12.6%	6
50%	37.5%	12.6%	7
56.2%	25%	18.8%	8
62.4%	18.7%	18.8%	9
65.6%	12.5%	22%	10
68.7%	9.4%	22%	11
70.2%	6.2%	23.5%	12
71.8%	4.7%	23.5%	13
72.6%	3.1%	24.3%	14

sample11.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify23.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	185	10
1	185	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: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(.f64 x (-.f64 1 (.f64 x y)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
3×	`-un-lft-identity_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l*_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 22

Calls

1 calls:

6.0ms

(*.f64 x (-.f64 1 (*.f64 x y)))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(*.f64 x (-.f64 1 (*.f64 x y)))

simplify83.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4880	308
1	4880	308

prune26.0ms

Filtered

16 candidates to 25 candidates (-56.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	18	7	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	8	26

Merged error: 0.0b

Counts

26 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (cbrt.f64 (-.f64 1 (.f64 x y))) (cbrt.f64 (-.f64 1 (*.f64 x y))))
0.2b	(cbrt.f64 (-.f64 1 (*.f64 x y)))
0.2b	(cbrt.f64 (-.f64 1 (*.f64 x y)))
0.2b	(cbrt.f64 (-.f64 1 (*.f64 x y)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

9.0ms	(.f64 (cbrt.f64 (-.f64 1 (.f64 x y))) (cbrt.f64 (-.f64 1 (*.f64 x y))))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))

series695.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(.f64 (cbrt.f64 (-.f64 1 (.f64 x y))) (cbrt.f64 (-.f64 1 (*.f64 x y))))
184.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
147.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
192.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))

simplify95.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4941	2041
1	4941	2041

prune140.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	95	4	99
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	97	10	107

Merged error: 0.0b

Counts

107 → 10

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (-.f64 1 (*.f64 x y)))
0.2b	(cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y))))
0.2b	(cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y))))
0.3b	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y)))) 5)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
10×	`cbrt-div_binary64`
9×	`unpow-prod-down_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64` `flip3--_binary64` `flip--_binary64`
2×	`pow-pow_binary64`
1×	`pow-to-exp_binary64` `sqr-pow_binary64` `pow-exp_binary64`

Counts

4 → 69

Calls

4 calls:

5.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
7.0ms	(cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y))))
6.0ms	(cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y))))
8.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y)))) 5)

series1.4s

Counts

4 → 12

Calls

4 calls:

325.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
180.0ms	(cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y))))
160.0ms	(cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y))))
750.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y)))) 5)

simplify88.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5090	1736

prune160.0ms

Filtered

73 candidates to 81 candidates (-11.0%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	81	10	91

Merged error: 0.0b

Counts

91 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series352.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
81.0ms	(cbrt.f64 x)
80.0ms	(cbrt.f64 x)
85.0ms	(cbrt.f64 x)

simplify104.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4937	588
1	4937	588

prune52.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	6	6
Picked	1	0	1
Done	0	3	3
Total	85	10	95

Merged error: 0.0b

Counts

95 → 10

regimes74.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	10
1	36	10

end0.0ms

sample332.0ms

Algorithm

intervals

Results

194.0ms	8000×	body	80	valid
2.0ms	82×	body	80	invalid

Details

analyze60.0ms

sample11.0ms

simplify23.0ms

prune1.0ms

localize5.0ms

rewrite6.0ms

series32.0ms

simplify83.0ms

prune26.0ms

localize9.0ms

rewrite20.0ms

series695.0ms

simplify95.0ms

prune140.0ms

localize22.0ms

rewrite30.0ms

series1.4s

simplify88.0ms

prune160.0ms

localize9.0ms

rewrite12.0ms

series352.0ms

simplify104.0ms

prune52.0ms

regimes74.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample332.0ms

Profiling