Details

analyze249.0ms

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

sample17.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	23×	body	80	invalid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	240	7
1	240	7

prune3.0ms

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: 3.1b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

2.9b	(.f64 x (-.f64 1 (.f64 y z)))

rewrite7.0ms

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 y z)))

series11.0ms

Counts

1 → 3

Calls

1 calls:

11.0ms

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

simplify37.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5200	204

prune34.0ms

Filtered

17 candidates to 25 candidates (-47.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	18	7	25
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	19	7	26

Merged error: 3.0b

Counts

26 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 x (neg.f64 (.f64 y z))))
7.3b	(.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:

4.0ms	(+.f64 x (.f64 x (neg.f64 (.f64 y z))))
5.0ms	(.f64 x (neg.f64 (.f64 y z)))

series18.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+.f64 x (.f64 x (neg.f64 (.f64 y z))))
7.0ms	(.f64 x (neg.f64 (.f64 y z)))

simplify53.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4915	298
1	4915	298

prune30.0ms

Filtered

29 candidates to 40 candidates (-37.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	41	6	47

Merged error: 0.0b

Counts

47 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

7.3b	(.f64 x (neg.f64 (.f64 y z)))
9.2b	(cbrt.f64 (.f64 x (neg.f64 (.f64 y z))))
9.2b	(cbrt.f64 (.f64 x (neg.f64 (.f64 y z))))
9.2b	(cbrt.f64 (.f64 x (neg.f64 (.f64 y z))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`-un-lft-identity_binary64` `pow1_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64` `associate-l_binary64` `cbrt-prod_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-rgt-neg-out_binary64` `neg-mul-1_binary64` `distribute-lft-neg-in_binary64` `unswap-sqr_binary64` `distribute-rgt-neg-in_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 49

Calls

4 calls:

5.0ms	(.f64 x (neg.f64 (.f64 y z)))
4.0ms	(cbrt.f64 (.f64 x (neg.f64 (.f64 y z))))
4.0ms	(cbrt.f64 (.f64 x (neg.f64 (.f64 y z))))
3.0ms	(cbrt.f64 (.f64 x (neg.f64 (.f64 y z))))

series88.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(.f64 x (neg.f64 (.f64 y z)))
26.0ms	(cbrt.f64 (.f64 x (neg.f64 (.f64 y z))))
26.0ms	(cbrt.f64 (.f64 x (neg.f64 (.f64 y z))))
28.0ms	(cbrt.f64 (.f64 x (neg.f64 (.f64 y z))))

simplify45.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4981	466
1	4981	466

prune33.0ms

Filtered

48 candidates to 61 candidates (-27.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	61	6	67

Merged error: 0.0b

Counts

67 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b	(.f64 x (.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) (cbrt.f64 (-.f64 1 (.f64 y z)))))
3.1b	(cbrt.f64 (-.f64 1 (*.f64 y z)))
3.1b	(cbrt.f64 (-.f64 1 (*.f64 y z)))
3.1b	(cbrt.f64 (-.f64 1 (*.f64 y z)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

12.0ms	(.f64 x (.f64 (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)))

series141.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(.f64 x (.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) (cbrt.f64 (-.f64 1 (.f64 y z)))))
35.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
36.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
37.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))

simplify36.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4942	1034
1	4942	1034

prune61.0ms

Filtered

68 candidates to 78 candidates (-14.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	78	6	84

Merged error: 0.0b

Counts

84 → 6

regimes276.0ms

Accuracy

51.2% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 3.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	80	20
1	80	20

end0.0ms

sample409.0ms

Algorithm

intervals

Results

202.0ms	8000×	body	80	valid
15.0ms	553×	body	80	invalid

Details

analyze249.0ms

sample17.0ms

simplify16.0ms

prune3.0ms

localize5.0ms

rewrite7.0ms

series11.0ms

simplify37.0ms

prune34.0ms

localize6.0ms

rewrite10.0ms

series18.0ms

simplify53.0ms

prune30.0ms

localize9.0ms

rewrite17.0ms

series88.0ms

simplify45.0ms

prune33.0ms

localize8.0ms

rewrite23.0ms

series141.0ms

simplify36.0ms

prune61.0ms

regimes276.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample409.0ms

Profiling