Details

analyze1.0ms

Algorithm

Search

True	Other	False	Iter
0%	25%	75%	0
25%	0%	75%	1

sample17.0ms

Algorithm

intervals

Results

7.0ms	256×	pre	80	true
4.0ms	256×	body	80	valid

simplify186.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (177.0ms)

Iter	Nodes	Cost
0	4763	10
1	4763	10

prune3.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (*.f64 x x) (pow.f64 x 3))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp_binary64_555`
2×	`cube-mult_binary64_565`
1×	`distribute-rgt1-in_binary64_639` `add-cbrt-cube_binary64_562` `flip-+_binary64_615` `+-commutative_binary64_657` `distribute-lft-out_binary64_634` `add-cube-cbrt_binary64_561` `add-exp-log_binary64_554` `*-un-lft-identity_binary64_590` `pow1_binary64_532` `distribute-rgt-out_binary64_636` `unpow3_binary64_530` `flip3-+_binary64_588` `add-sqr-sqrt_binary64_575` `sum-log_binary64_500`

Counts

1 → 14

Calls

1 calls:

6.0ms

(+.f64 (*.f64 x x) (pow.f64 x 3))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(+.f64 (*.f64 x x) (pow.f64 x 3))

simplify61.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4988	205
1	4988	205

prune17.0ms

Filtered

12 candidates to 17 candidates (-41.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	15	2	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	16	2	18

Merged error: 0b

Counts

18 → 2

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 x x))
0.0b	(.f64 x (+.f64 x (.f64 x x)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64_590` `add-sqr-sqrt_binary64_575`
5×	`associate-r_binary64_649`
4×	`add-cbrt-cube_binary64_562` `add-cube-cbrt_binary64_561` `add-exp-log_binary64_554` `add-log-exp_binary64_555` `pow1_binary64_532`
3×	`associate-l_binary64_650`
2×	`distribute-rgt1-in_binary64_639` `flip-+_binary64_615` `distribute-rgt-out_binary64_636` `flip3-+_binary64_588` `associate-*r/_binary64_651`
1×	`cbrt-unprod_binary64_559` `pow-prod-down_binary64_513` `+-commutative_binary64_657` `unswap-sqr_binary64_618` `prod-exp_binary64_537` `distribute-rgt-in_binary64_633` `*-commutative_binary64_658` `distribute-lft-in_binary64_632` `sum-log_binary64_500`

Counts

2 → 37

Calls

2 calls:

3.0ms	(+.f64 x (*.f64 x x))
6.0ms	(.f64 x (+.f64 x (.f64 x x)))

series68.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+.f64 x (*.f64 x x))
44.0ms	(.f64 x (+.f64 x (.f64 x x)))

simplify95.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4932	463
1	4932	463

prune21.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	43	2	45

Merged error: 0b

Counts

45 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (+.f64 (.f64 x x) (pow.f64 x 3))) (cbrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3))))
26.3b	(cbrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)))
26.3b	(cbrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)))
26.3b	(cbrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

50×	`cbrt-prod_binary64_557`
23×	`add-sqr-sqrt_binary64_575`
18×	`cbrt-div_binary64_558`
16×	`cube-mult_binary64_565`
15×	`add-cube-cbrt_binary64_561` `*-un-lft-identity_binary64_590`
11×	`swap-sqr_binary64_617` `pow1_binary64_532`
9×	`pow1/3_binary64_524` `flip-+_binary64_615` `distribute-lft-out_binary64_634` `associate-l_binary64_650` `distribute-rgt-out_binary64_636` `associate-r_binary64_649` `unpow3_binary64_530` `flip3-+_binary64_588`
7×	`distribute-rgt1-in_binary64_639`
6×	`add-exp-log_binary64_554`
4×	`add-cbrt-cube_binary64_562` `unswap-sqr_binary64_618` `frac-times_binary64_582` `add-log-exp_binary64_555`
2×	`pow-prod-up_binary64_512` `pow-prod-down_binary64_513` `associate-l/_binary64_652` `associate-r/_binary64_651` `pow-sqr_binary64_623`
1×	`cbrt-unprod_binary64_559` `pow2_binary64_523` `prod-exp_binary64_537` `*-commutative_binary64_658` `pow-plus_binary64_527`

Counts

4 → 107

Calls

4 calls:

17.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x x) (pow.f64 x 3))) (cbrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3))))
6.0ms	(cbrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)))
6.0ms	(cbrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)))
6.0ms	(cbrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)))

series125.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x x) (pow.f64 x 3))) (cbrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3))))
30.0ms	(cbrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)))
32.0ms	(cbrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)))
33.0ms	(cbrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)))

simplify119.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4897	2449
1	4897	2449

prune130.0ms

Filtered

91 candidates to 119 candidates (-30.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	119	2	121

Merged error: 0b

Counts

121 → 2

regimes7.0ms

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	7	10
1	7	10

end0.0ms

sample352.0ms

Algorithm

intervals

Results

144.0ms	8000×	body	80	valid
107.0ms	8000×	pre	80	true

Details

analyze1.0ms

sample17.0ms

simplify186.0ms

prune3.0ms

localize4.0ms

rewrite6.0ms

series47.0ms

simplify61.0ms

prune17.0ms

localize4.0ms

rewrite9.0ms

series68.0ms

simplify95.0ms

prune21.0ms

localize8.0ms

rewrite39.0ms

series125.0ms

simplify119.0ms

prune130.0ms

regimes7.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample352.0ms

Profiling