Details

sample22.0ms

Algorithm

intervals

Results

11.0ms	330×	body	80	valid
0.0ms	1×	body	320	valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	19	6
1	40	5
2	123	4
3	249	4
4	355	4
5	355	4

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ d3 5.0) 32.0)
0.0b	(* d1 (+ d2 (+ (+ d3 5.0) 32.0)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
9×	`distribute-lft-out`
7×	`add-log-exp`
6×	`add-sqr-sqrt` `associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-l` `sum-log`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 40

Calls

2 calls:

6.0ms	(+ (+ d3 5.0) 32.0)
10.0ms	(* d1 (+ d2 (+ (+ d3 5.0) 32.0)))

series50.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(+ (+ d3 5.0) 32.0)
33.0ms	(* d1 (+ d2 (+ (+ d3 5.0) 32.0)))

simplify32.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	225	205
1	1048	184
2	5001	184

prune70.0ms

Filtered

46 candidates to 29 candidates (63.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	44	4	48

Merged error: 0b

Counts

48 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* d1 d2) (* (+ d3 5.0) d1))
0.0b	(* (+ d3 5.0) d1)
0.0b	(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`associate-l` `sum-log`
3×	`flip3-+` `associate-r` `flip-+`
2×	`+-commutative` `associate-*l/`
1×	`associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 45

Calls

3 calls:

4.0ms	(+ (* d1 d2) (* (+ d3 5.0) d1))
6.0ms	(* (+ d3 5.0) d1)
6.0ms	(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

series110.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(+ (* d1 d2) (* (+ d3 5.0) d1))
27.0ms	(* (+ d3 5.0) d1)
42.0ms	(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

simplify39.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	271	315
1	1079	281
2	5002	270

prune94.0ms

Filtered

54 candidates to 38 candidates (70.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	54	4	58

Merged error: 0b

Counts

58 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ d3 5.0) 32.0)
0.1b	(* (sqrt d1) (* (sqrt d1) (+ d2 (+ (+ d3 5.0) 32.0))))
0.2b	(* (sqrt d1) (+ d2 (+ (+ d3 5.0) 32.0)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `associate-l`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`distribute-lft-out`
8×	`add-cube-cbrt` `add-log-exp`
7×	`associate-r` `sqrt-prod`
6×	`associate-*r/`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`flip3-+` `sum-log` `flip-+`
2×	`*-commutative` `unswap-sqr`
1×	`+-commutative` `associate-+l+`

Counts

3 → 71

Calls

3 calls:

6.0ms	(+ (+ d3 5.0) 32.0)
13.0ms	(* (sqrt d1) (* (sqrt d1) (+ d2 (+ (+ d3 5.0) 32.0))))
14.0ms	(* (sqrt d1) (+ d2 (+ (+ d3 5.0) 32.0)))

series144.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+ (+ d3 5.0) 32.0)
43.0ms	(* (sqrt d1) (* (sqrt d1) (+ d2 (+ (+ d3 5.0) 32.0))))
84.0ms	(* (sqrt d1) (+ d2 (+ (+ d3 5.0) 32.0)))

simplify51.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	362	494
1	1758	422
2	5003	422

prune127.0ms

Filtered

80 candidates to 50 candidates (62.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	80	4	84

Merged error: 0b

Counts

84 → 4

localize22.0ms

Local error

Found 4 expressions with local error:

2.1b	(+ (pow d2 3) (pow (+ (+ d3 5.0) 32.0) 3))
2.4b	(- (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 (+ (+ d3 5.0) 32.0)))
6.5b	(* d1 (+ (pow d2 3) (pow (+ (+ d3 5.0) 32.0) 3)))
27.0b	(/ (* d1 (+ (pow d2 3) (pow (+ (+ d3 5.0) 32.0) 3))) (+ (* d2 d2) (- (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 (+ (+ d3 5.0) 32.0)))))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
50×	`distribute-lft-out`
30×	`associate-*r/`
28×	`flip3-+` `flip-+`
24×	`unpow-prod-down` `cube-prod`
17×	`associate-r`
16×	`frac-sub`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`frac-times` `add-cube-cbrt` `add-log-exp`
6×	`pow1` `associate-*l/`
4×	`sub-div`
3×	`distribute-rgt-in` `distribute-lft-in` `times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate--l+` `associate-/r/` `sum-cubes` `cbrt-unprod` `associate-/l/` `associate--r+`
1×	`+-commutative` `sub-neg` `flip3--` `distribute-rgt-out--` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip--` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 123

Calls

4 calls:

18.0ms	(+ (pow d2 3) (pow (+ (+ d3 5.0) 32.0) 3))
14.0ms	(- (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 (+ (+ d3 5.0) 32.0)))
19.0ms	(* d1 (+ (pow d2 3) (pow (+ (+ d3 5.0) 32.0) 3)))
30.0ms	(/ (* d1 (+ (pow d2 3) (pow (+ (+ d3 5.0) 32.0) 3))) (+ (* d2 d2) (- (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 (+ (+ d3 5.0) 32.0)))))

series444.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(+ (pow d2 3) (pow (+ (+ d3 5.0) 32.0) 3))
34.0ms	(- (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 (+ (+ d3 5.0) 32.0)))
154.0ms	(* d1 (+ (pow d2 3) (pow (+ (+ d3 5.0) 32.0) 3)))
198.0ms	(/ (* d1 (+ (pow d2 3) (pow (+ (+ d3 5.0) 32.0) 3))) (+ (* d2 d2) (- (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 (+ (+ d3 5.0) 32.0)))))

simplify130.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (111.0ms)

Iter	Nodes	Cost
0	869	1987
1	4794	1674
2	5002	1665

prune316.0ms

Filtered

135 candidates to 84 candidates (62.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	135	4	139

Merged error: 0b

Counts

139 → 4

regimes96.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	13	4

end0.0ms

sample546.0ms

Algorithm

intervals

Results

342.0ms	10087×	body	80	valid
2.0ms	15×	body	640	valid
2.0ms	18×	body	320	valid
1.0ms	8×	body	1280	valid
0.0ms	3×	body	160	valid