Details

analyze259.0ms

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
12.5%	87.4%	0.1%	7
31.2%	68.6%	0.1%	8
39%	57.7%	3.3%	9
47.6%	46%	6.4%	10
58.1%	35.5%	6.4%	11
62.2%	29.1%	8.7%	12
66.2%	22.7%	11.1%	13
71.3%	17.6%	11.1%	14

sample13.0ms

Algorithm

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	16×	body	128	invalid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	241	10
1	241	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: 2.6b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 1 (*.f64 y z))
2.5b	(.f64 x (-.f64 1 (.f64 y z)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`sub-neg_binary64` `associate-r_binary64` `associate-l_binary64`
2×	`flip3--_binary64` `associate-*r/_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

2 → 33

Calls

2 calls:

3.0ms	(-.f64 1 (*.f64 y z))
6.0ms	(.f64 x (-.f64 1 (.f64 y z)))

series151.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(-.f64 1 (*.f64 y z))
109.0ms	(.f64 x (-.f64 1 (.f64 y z)))

simplify64.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5030	459

prune40.0ms

Filtered

27 candidates to 39 candidates (-44.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	29	10	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	30	10	40

Merged error: 2.5b

Counts

40 → 10

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 x (neg.f64 (.f64 y z))))
5.8b	(.f64 x (neg.f64 (.f64 y z)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`associate-r_binary64` `add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
2×	`distribute-rgt-neg-out_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `neg-mul-1_binary64` `distribute-lft-neg-in_binary64` `unswap-sqr_binary64` `distribute-rgt-neg-in_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `unsub-neg_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 34

Calls

2 calls:

3.0ms	(+.f64 x (.f64 x (neg.f64 (.f64 y z))))
5.0ms	(.f64 x (neg.f64 (.f64 y z)))

series138.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(+.f64 x (.f64 x (neg.f64 (.f64 y z))))
55.0ms	(.f64 x (neg.f64 (.f64 y z)))

simplify59.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5105	451

prune31.0ms

Filtered

29 candidates to 40 candidates (-37.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	3	6	9
Picked	0	1	1
Done	0	0	0
Total	41	9	50

Merged error: 0.0b

Counts

50 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

2.5b	(.f64 x (.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) (cbrt.f64 (-.f64 1 (.f64 y z)))) (cbrt.f64 (-.f64 1 (.f64 y z)))))
2.6b	(cbrt.f64 (-.f64 1 (*.f64 y z)))
2.6b	(cbrt.f64 (-.f64 1 (*.f64 y z)))
2.6b	(cbrt.f64 (-.f64 1 (*.f64 y z)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div_binary64`
34×	`associate-*r/_binary64`
30×	`flip3--_binary64` `flip--_binary64`
28×	`frac-times_binary64`
14×	`associate-*l/_binary64`
13×	`pow1_binary64` `add-exp-log_binary64`
9×	`add-cbrt-cube_binary64` `cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64` `associate-l_binary64`
1×	`associate-r_binary64` `*-commutative_binary64`

Counts

4 → 86

Calls

4 calls:

23.0ms	(.f64 x (.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) (cbrt.f64 (-.f64 1 (.f64 y z)))) (cbrt.f64 (-.f64 1 (.f64 y z)))))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))

series987.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(.f64 x (.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) (cbrt.f64 (-.f64 1 (.f64 y z)))) (cbrt.f64 (-.f64 1 (.f64 y z)))))
295.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
290.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
287.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))

simplify55.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5340	2243

prune110.0ms

Filtered

73 candidates to 98 candidates (-34.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	97	10	107

Merged error: 0.0b

Counts

107 → 10

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 x y) (neg.f64 z)))
7.1b	(.f64 (.f64 x y) (neg.f64 z))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-r_binary64`
7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64` `prod-exp_binary64`
2×	`distribute-rgt-neg-out_binary64`
1×	`flip3-+_binary64` `neg-mul-1_binary64` `associate-l_binary64` `+-commutative_binary64` `flip-+_binary64` `unsub-neg_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 38

Calls

2 calls:

4.0ms	(+.f64 x (.f64 (.f64 x y) (neg.f64 z)))
7.0ms	(.f64 (.f64 x y) (neg.f64 z))

series152.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(+.f64 x (.f64 (.f64 x y) (neg.f64 z)))
57.0ms	(.f64 (.f64 x y) (neg.f64 z))

simplify78.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4913	485
1	4913	485

prune23.0ms

Filtered

30 candidates to 44 candidates (-46.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	43	1	44
Fresh	1	6	7
Picked	0	1	1
Done	0	2	2
Total	44	10	54

Merged error: 0.0b

Counts

54 → 10

regimes203.0ms

Accuracy

75% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 3.1b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	92	59
1	92	59

end0.0ms

sample381.0ms

Algorithm

intervals

Results

200.0ms	8000×	body	128	valid
13.0ms	541×	body	128	invalid

Details

analyze259.0ms

sample13.0ms

simplify20.0ms

prune1.0ms

localize5.0ms

rewrite11.0ms

series151.0ms

simplify64.0ms

prune40.0ms

localize7.0ms

rewrite10.0ms

series138.0ms

simplify59.0ms

prune31.0ms

localize12.0ms

rewrite45.0ms

series987.0ms

simplify55.0ms

prune110.0ms

localize7.0ms

rewrite13.0ms

series152.0ms

simplify78.0ms

prune23.0ms

regimes203.0ms

bsearch1.0ms

simplify3.0ms

end0.0ms

sample381.0ms

Profiling