Details

analyze445.0ms

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

sample15.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	15×	body	80	invalid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

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)))

simplify53.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5200	204

prune66.0ms

Filtered

17 candidates to 25 candidates (-47.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	17	8	25
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	18	8	26

Merged error: 3.0b

Counts

26 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 x (neg.f64 (.f64 y z))))
4.9b	(.f64 x (neg.f64 (.f64 y z)))

rewrite9.0ms

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)))

series17.0ms

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)))

simplify51.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4915	298
1	4915	298

prune54.0ms

Filtered

29 candidates to 40 candidates (-37.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	37	3	40
Fresh	4	3	7
Picked	0	1	1
Done	0	0	0
Total	41	7	48

Merged error: 0.0b

Counts

48 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

1.1b	(.f64 x (.f64 (cbrt.f64 (neg.f64 (.f64 y z))) (cbrt.f64 (neg.f64 (.f64 y z)))))
10.7b	(cbrt.f64 (neg.f64 (*.f64 y z)))
10.7b	(cbrt.f64 (neg.f64 (*.f64 y z)))
10.7b	(cbrt.f64 (neg.f64 (*.f64 y z)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`add-cbrt-cube_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `neg-mul-1_binary64` `distribute-lft-neg-in_binary64` `associate-l_binary64` `distribute-rgt-neg-in_binary64` `prod-exp_binary64`
1×	`associate-r_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 61

Calls

4 calls:

9.0ms	(.f64 x (.f64 (cbrt.f64 (neg.f64 (.f64 y z))) (cbrt.f64 (neg.f64 (.f64 y z)))))
2.0ms	(cbrt.f64 (neg.f64 (*.f64 y z)))
2.0ms	(cbrt.f64 (neg.f64 (*.f64 y z)))
2.0ms	(cbrt.f64 (neg.f64 (*.f64 y z)))

series107.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(.f64 x (.f64 (cbrt.f64 (neg.f64 (.f64 y z))) (cbrt.f64 (neg.f64 (.f64 y z)))))
20.0ms	(cbrt.f64 (neg.f64 (*.f64 y z)))
19.0ms	(cbrt.f64 (neg.f64 (*.f64 y z)))
19.0ms	(cbrt.f64 (neg.f64 (*.f64 y z)))

simplify61.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5151	541

prune71.0ms

Filtered

54 candidates to 73 candidates (-35.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	73	7	80

Merged error: 0.0b

Counts

80 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (neg.f64 y))
1.1b	(.f64 x (.f64 (cbrt.f64 (neg.f64 (.f64 y z))) (cbrt.f64 (neg.f64 (.f64 y z)))))
10.7b	(cbrt.f64 (neg.f64 (*.f64 y z)))
10.7b	(cbrt.f64 (neg.f64 (*.f64 y z)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod_binary64`
11×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`pow1_binary64` `add-exp-log_binary64`
7×	`add-cbrt-cube_binary64`
5×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `neg-mul-1_binary64` `associate-l_binary64` `prod-exp_binary64`
1×	`associate-r_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 65

Calls

4 calls:

2.0ms	(cbrt.f64 (neg.f64 y))
9.0ms	(.f64 x (.f64 (cbrt.f64 (neg.f64 (.f64 y z))) (cbrt.f64 (neg.f64 (.f64 y z)))))
2.0ms	(cbrt.f64 (neg.f64 (*.f64 y z)))
2.0ms	(cbrt.f64 (neg.f64 (*.f64 y z)))

series100.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(cbrt.f64 (neg.f64 y))
46.0ms	(.f64 x (.f64 (cbrt.f64 (neg.f64 (.f64 y z))) (cbrt.f64 (neg.f64 (.f64 y z)))))
18.0ms	(cbrt.f64 (neg.f64 (*.f64 y z)))
19.0ms	(cbrt.f64 (neg.f64 (*.f64 y z)))

simplify67.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4862	572
1	4862	572

prune60.0ms

Filtered

57 candidates to 77 candidates (-35.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	77	7	84

Merged error: 0.0b

Counts

84 → 7

regimes446.0ms

Accuracy

95.9% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.4b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	86	27
1	86	27

end0.0ms

sample374.0ms

Algorithm

intervals

Results

194.0ms	8000×	body	80	valid
12.0ms	544×	body	80	invalid

Details

analyze445.0ms

sample15.0ms

simplify15.0ms

prune3.0ms

localize5.0ms

rewrite7.0ms

series11.0ms

simplify53.0ms

prune66.0ms

localize8.0ms

rewrite9.0ms

series17.0ms

simplify51.0ms

prune54.0ms

localize10.0ms

rewrite16.0ms

series107.0ms

simplify61.0ms

prune71.0ms

localize16.0ms

rewrite16.0ms

series100.0ms

simplify67.0ms

prune60.0ms

regimes446.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample374.0ms

Profiling