Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.6%	0.2%	0.2%	11
99.6%	0.1%	0.3%	12
99.6%	0%	0.3%	13
99.6%	0%	0.4%	14

sample8.0ms

Algorithm

intervals

Results

4.0ms	254×	body	128	valid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	256	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

prune5.0ms

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: 0.0b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (*.f64 x 116) 16)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`*-un-lft-identity_binary64` `sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `flip--_binary64`

Counts

1 → 11

Calls

1 calls:

5.0ms

(-.f64 (*.f64 x 116) 16)

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(-.f64 (*.f64 x 116) 16)

simplify76.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4851	146
1	4851	146

prune11.0ms

Filtered

10 candidates to 14 candidates (-40.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	11	3	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	4	15

Merged error: 0b

Counts

15 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 (cbrt.f64 (-.f64 (.f64 x 116) 16)) (cbrt.f64 (-.f64 (*.f64 x 116) 16)))
0.7b	(cbrt.f64 (-.f64 (*.f64 x 116) 16))
0.7b	(cbrt.f64 (-.f64 (*.f64 x 116) 16))
0.7b	(cbrt.f64 (-.f64 (*.f64 x 116) 16))

rewrite36.0ms

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:

13.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 x 116) 16)) (cbrt.f64 (-.f64 (*.f64 x 116) 16)))
4.0ms	(cbrt.f64 (-.f64 (*.f64 x 116) 16))
4.0ms	(cbrt.f64 (-.f64 (*.f64 x 116) 16))
4.0ms	(cbrt.f64 (-.f64 (*.f64 x 116) 16))

series266.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 x 116) 16)) (cbrt.f64 (-.f64 (*.f64 x 116) 16)))
58.0ms	(cbrt.f64 (-.f64 (*.f64 x 116) 16))
60.0ms	(cbrt.f64 (-.f64 (*.f64 x 116) 16))
62.0ms	(cbrt.f64 (-.f64 (*.f64 x 116) 16))

simplify71.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4913	1988
1	4913	1988

prune126.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	99	4	103

Merged error: 0b

Counts

103 → 4

localize5.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 x 116) 16)
0.0b	(sqrt.f64 (-.f64 (*.f64 x 116) 16))
0.0b	(sqrt.f64 (-.f64 (*.f64 x 116) 16))
0.1b	(.f64 (sqrt.f64 (-.f64 (.f64 x 116) 16)) (sqrt.f64 (-.f64 (*.f64 x 116) 16)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
24×	`sqrt-prod_binary64`
21×	`pow1_binary64`
16×	`sqrt-div_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
9×	`flip3--_binary64` `flip--_binary64`
8×	`swap-sqr_binary64`
6×	`add-log-exp_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
5×	`pow-prod-up_binary64`
4×	`unswap-sqr_binary64` `frac-times_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
2×	`associate-r/_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 98

Calls

4 calls:

4.0ms	(-.f64 (*.f64 x 116) 16)
4.0ms	(sqrt.f64 (-.f64 (*.f64 x 116) 16))
4.0ms	(sqrt.f64 (-.f64 (*.f64 x 116) 16))
13.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x 116) 16)) (sqrt.f64 (-.f64 (*.f64 x 116) 16)))

series158.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(-.f64 (*.f64 x 116) 16)
33.0ms	(sqrt.f64 (-.f64 (*.f64 x 116) 16))
34.0ms	(sqrt.f64 (-.f64 (*.f64 x 116) 16))
51.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x 116) 16)) (sqrt.f64 (-.f64 (*.f64 x 116) 16)))

simplify54.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5301	1596

prune72.0ms

Filtered

65 candidates to 110 candidates (-69.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	110	4	114

Merged error: 0b

Counts

114 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 x 116) 16)
1.2b	(exp.f64 (log.f64 (-.f64 (*.f64 x 116) 16)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `exp-prod_binary64`
3×	`pow1_binary64` `log-prod_binary64` `exp-sum_binary64`
2×	`flip3--_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `exp-diff_binary64` `log-div_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `log-pow_binary64` `rem-exp-log_binary64`

Counts

2 → 28

Calls

2 calls:

4.0ms	(-.f64 (*.f64 x 116) 16)
5.0ms	(exp.f64 (log.f64 (-.f64 (*.f64 x 116) 16)))

series291.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(-.f64 (*.f64 x 116) 16)
247.0ms	(exp.f64 (log.f64 (-.f64 (*.f64 x 116) 16)))

simplify80.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4663	358
1	4663	358

prune16.0ms

Filtered

21 candidates to 34 candidates (-61.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	34	4	38

Merged error: 0b

Counts

38 → 4

regimes34.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample215.0ms

Algorithm

intervals

Results

118.0ms	7945×	body	128	valid
2.0ms	35×	body	1024	valid
1.0ms	15×	body	512	valid
0.0ms	5×	body	256	valid
0.0ms	1×	body	128	invalid

Details

analyze3.0ms

sample8.0ms

simplify9.0ms

prune5.0ms

localize3.0ms

rewrite5.0ms

series47.0ms

simplify76.0ms

prune11.0ms

localize7.0ms

rewrite36.0ms

series266.0ms

simplify71.0ms

prune126.0ms

localize5.0ms

rewrite33.0ms

series158.0ms

simplify54.0ms

prune72.0ms

localize5.0ms

rewrite11.0ms

series291.0ms

simplify80.0ms

prune16.0ms

regimes34.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample215.0ms

Profiling