Details

analyze1.0ms

Algorithm

Search

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

sample12.0ms

Algorithm

intervals

Results

4.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify120.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (118.0ms)

Iter	Nodes	Cost
0	4761	7
1	4761	7

prune8.0ms

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`
2×	`cube-mult_binary64`
1×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `distribute-rgt-out_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-rgt1-in_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `unpow3_binary64` `sum-log_binary64`

Counts

1 → 14

Calls

1 calls:

6.0ms

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

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

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

simplify56.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4951	140
1	4951	140

prune22.0ms

Filtered

12 candidates to 17 candidates (-41.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	13	4	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	14	4	18

Merged error: 0b

Counts

18 → 4

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

5×	`associate-r_binary64` `add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`associate-*r/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-rgt-out_binary64` `distribute-lft-in_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

6.0ms

(*.f64 x (+.f64 x (*.f64 x x)))

series11.0ms

Counts

1 → 3

Calls

1 calls:

11.0ms

(*.f64 x (+.f64 x (*.f64 x x)))

simplify53.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4951	209
1	4951	209

prune21.0ms

Filtered

17 candidates to 27 candidates (-58.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	27	4	31

Merged error: 0b

Counts

31 → 4

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (*.f64 x x) (pow.f64 x 3))
0.0b	(.f64 (sqrt.f64 (+.f64 (.f64 x x) (pow.f64 x 3))) (sqrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3))))
27.9b	(sqrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)))
27.9b	(sqrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

46×	`sqrt-prod_binary64`
28×	`add-sqr-sqrt_binary64`
21×	`pow1_binary64`
16×	`sqrt-div_binary64` `cube-mult_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
13×	`swap-sqr_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
9×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-r_binary64` `distribute-rgt-out_binary64` `associate-l_binary64` `flip-+_binary64` `unpow3_binary64`
7×	`distribute-rgt1-in_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow-prod-up_binary64`
4×	`unswap-sqr_binary64` `frac-times_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
2×	`associate-r/_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `+-commutative_binary64` `pow2_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 118

Calls

4 calls:

8.0ms	(+.f64 (*.f64 x x) (pow.f64 x 3))
17.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x x) (pow.f64 x 3))) (sqrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3))))
6.0ms	(sqrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)))
6.0ms	(sqrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)))

series30.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+.f64 (*.f64 x x) (pow.f64 x 3))
10.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x x) (pow.f64 x 3))) (sqrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3))))
5.0ms	(sqrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)))
6.0ms	(sqrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)))

simplify56.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5724	1266

prune96.0ms

Filtered

79 candidates to 130 candidates (-64.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	130	4	134

Merged error: 0b

Counts

134 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (*.f64 x x) (pow.f64 x 3))
0.1b	(pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3)
21.9b	(cbrt.f64 (pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod_binary64`
12×	`unpow-prod-down_binary64` `cube-prod_binary64` `cube-mult_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
7×	`unpow3_binary64`
5×	`add-log-exp_binary64` `distribute-lft-out_binary64` `distribute-rgt-out_binary64` `distribute-rgt1-in_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cube-div_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `flip-+_binary64`
2×	`cbrt-div_binary64` `sqr-pow_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64` `+-commutative_binary64` `pow-exp_binary64` `sum-log_binary64`

Counts

3 → 74

Calls

3 calls:

6.0ms	(+.f64 (*.f64 x x) (pow.f64 x 3))
7.0ms	(pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3)
7.0ms	(cbrt.f64 (pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3))

series25.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(+.f64 (*.f64 x x) (pow.f64 x 3))
4.0ms	(pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3)
11.0ms	(cbrt.f64 (pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3))

simplify53.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5125	845

prune46.0ms

Filtered

42 candidates to 83 candidates (-97.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	83	4	87

Merged error: 0b

Counts

87 → 4

regimes30.0ms

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	6	7
1	6	7

end0.0ms

sample342.0ms

Algorithm

intervals

Results

147.0ms	8000×	body	80	valid
104.0ms	8000×	pre	80	true

Details

analyze1.0ms

sample12.0ms

simplify120.0ms

prune8.0ms

localize4.0ms

rewrite6.0ms

series9.0ms

simplify56.0ms

prune22.0ms

localize4.0ms

rewrite6.0ms

series11.0ms

simplify53.0ms

prune21.0ms

localize6.0ms

rewrite41.0ms

series30.0ms

simplify56.0ms

prune96.0ms

localize6.0ms

rewrite22.0ms

series25.0ms

simplify53.0ms

prune46.0ms

regimes30.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample342.0ms

Profiling