Details

analyze267.0ms

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
18.7%	81.1%	0.1%	8
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
58.2%	30.2%	11.6%	12
61.3%	24.4%	14.3%	13
65%	19.8%	15.3%	14

sample14.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	17×	body	80	invalid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	300	7
1	300	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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 y (-.f64 z x))
0.0b	(+.f64 x (*.f64 y (-.f64 z x)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
2×	`associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 37

Calls

2 calls:

6.0ms	(*.f64 y (-.f64 z x))
8.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

series23.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(*.f64 y (-.f64 z x))
17.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

simplify59.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4949	323
1	4949	323

prune40.0ms

Filtered

30 candidates to 43 candidates (-43.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Merged error: 0.0b

Counts

44 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`sum-log_binary64`
2×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64`
1×	`distribute-rgt-neg-out_binary64` `associate-+l+_binary64` `unsub-neg_binary64`

Counts

2 → 25

Calls

2 calls:

3.0ms	(+.f64 x (*.f64 y z))
6.0ms	(+.f64 (+.f64 x (.f64 y z)) (.f64 y (neg.f64 x)))

series13.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+.f64 x (*.f64 y z))
8.0ms	(+.f64 (+.f64 x (.f64 y z)) (.f64 y (neg.f64 x)))

simplify53.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4980	265
1	4980	265

prune27.0ms

Filtered

23 candidates to 31 candidates (-34.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	31	3	34

Merged error: 0.0b

Counts

34 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (-.f64 z x))
0.0b	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3)))
0.3b	(pow.f64 (*.f64 y (-.f64 z x)) 3)
33.5b	(cbrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-cube-cbrt_binary64` `cbrt-prod_binary64`
6×	`add-log-exp_binary64` `associate-*r/_binary64`
5×	`associate-r_binary64`
4×	`cube-div_binary64`
3×	`pow-unpow_binary64` `flip3--_binary64` `associate-l_binary64` `flip--_binary64`
2×	`cbrt-div_binary64` `pow-prod-down_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `pow-pow_binary64` `sqr-pow_binary64` `rem-cube-cbrt_binary64` `unpow-prod-down_binary64` `prod-exp_binary64` `cube-prod_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `rem-cbrt-cube_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 79

Calls

4 calls:

7.0ms	(*.f64 y (-.f64 z x))
5.0ms	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3)))
6.0ms	(pow.f64 (*.f64 y (-.f64 z x)) 3)
3.0ms	(cbrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3))

series46.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(*.f64 y (-.f64 z x))
12.0ms	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3)))
16.0ms	(pow.f64 (*.f64 y (-.f64 z x)) 3)
12.0ms	(cbrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3))

simplify43.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5069	756

prune97.0ms

Filtered

63 candidates to 91 candidates (-44.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	91	3	94

Merged error: 0.0b

Counts

94 → 3

regimes213.0ms

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	36	9
1	36	9

end0.0ms

sample398.0ms

Algorithm

intervals

Results

202.0ms	8000×	body	80	valid
15.0ms	614×	body	80	invalid

Details

analyze267.0ms

sample14.0ms

simplify13.0ms

prune3.0ms

localize5.0ms

rewrite16.0ms

series23.0ms

simplify59.0ms

prune40.0ms

localize7.0ms

rewrite10.0ms

series13.0ms

simplify53.0ms

prune27.0ms

localize10.0ms

rewrite22.0ms

series46.0ms

simplify43.0ms

prune97.0ms

regimes213.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample398.0ms

Profiling