Details

sample21.0ms

Algorithm

intervals

Results

8.0ms	325×	body	80	valid
0.0ms	1×	body	160	valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

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

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite217.0ms

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:

27.0ms	(+ (+ d3 5.0) 32.0)
189.0ms	(* d1 (+ d2 (+ (+ d3 5.0) 32.0)))

series40.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ (+ d3 5.0) 32.0)
26.0ms	(* 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

prune73.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite59.0ms

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:

19.0ms	(* (+ d3 5.0) d1)
30.0ms	(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))
8.0ms	(+ (* d1 d2) (* (+ d3 5.0) d1))

series90.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(* (+ d3 5.0) d1)
32.0ms	(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))
34.0ms	(+ (* d1 d2) (* (+ d3 5.0) d1))

simplify37.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	271	315
1	1079	281
2	5001	270

prune102.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (+ d3 5.0))
0.8b	(cbrt (+ d3 5.0))
0.8b	(cbrt (+ d3 5.0))
0.8b	(* (cbrt (+ d3 5.0)) (cbrt (+ d3 5.0)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

4.0ms	(cbrt (+ d3 5.0))
4.0ms	(cbrt (+ d3 5.0))
4.0ms	(cbrt (+ d3 5.0))
35.0ms	(* (cbrt (+ d3 5.0)) (cbrt (+ d3 5.0)))

series326.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(cbrt (+ d3 5.0))
78.0ms	(cbrt (+ d3 5.0))
77.0ms	(cbrt (+ d3 5.0))
94.0ms	(* (cbrt (+ d3 5.0)) (cbrt (+ d3 5.0)))

simplify155.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (146.0ms)

Iter	Nodes	Cost
0	328	792
1	1085	748
2	4743	669
3	5002	665

prune290.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (+ d3 5.0))
0.8b	(cbrt (+ d3 5.0))
0.8b	(* (cbrt (+ d3 5.0)) (cbrt (+ d3 5.0)))
11.4b	(cbrt (- (* d3 d3) (* 5.0 5.0)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
33×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`pow1/3` `swap-sqr`
8×	`flip3-+` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `flip3--` `pow-plus` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `difference-of-squares`

Counts

4 → 95

Calls

4 calls:

4.0ms	(cbrt (+ d3 5.0))
4.0ms	(cbrt (+ d3 5.0))
37.0ms	(* (cbrt (+ d3 5.0)) (cbrt (+ d3 5.0)))
6.0ms	(cbrt (- (* d3 d3) (* 5.0 5.0)))

series437.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(cbrt (+ d3 5.0))
82.0ms	(cbrt (+ d3 5.0))
95.0ms	(* (cbrt (+ d3 5.0)) (cbrt (+ d3 5.0)))
178.0ms	(cbrt (- (* d3 d3) (* 5.0 5.0)))

simplify53.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	461	828
1	1578	782
2	5001	730

prune388.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes66.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	13	4
1	13	4

end0.0ms

sample547.0ms

Algorithm

intervals

Results

269.0ms	10101×	body	80	valid
4.0ms	13×	body	640	valid
1.0ms	16×	body	320	valid
1.0ms	6×	body	1280	valid
0.0ms	8×	body	160	valid