Details

sample32.0ms

Algorithm

intervals

Results

17.0ms

374×

body

valid

simplify93.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	25	6
1	69	5
2	195	4
3	461	4
4	969	4
5	1760	4
6	2455	4
7	3258	4
8	3451	4
9	3451	4

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
0.0b	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
0.0b	(- (* d1 d2) (* d1 d3))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
6×	`diff-log`
4×	`add-sqr-sqrt` `sum-log`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `*-un-lft-identity` `add-cbrt-cube`
2×	`associate-+l-` `associate-+l+` `flip3--` `flip--`
1×	`+-commutative` `associate--l-` `flip3-+` `associate--l+` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 45

Calls

3 calls:

29.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
148.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
8.0ms	(- (* d1 d2) (* d1 d3))

series118.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
50.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
34.0ms	(- (* d1 d2) (* d1 d3))

simplify39.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	256	378
1	1060	326
2	5001	293

prune390.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* d1 (- d4 d1))
0.0b	(+ (- (* d1 d2) (* d1 d3)) (* d1 (- d4 d1)))
0.0b	(- (* d1 d2) (* d1 d3))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

21.0ms	(* d1 (- d4 d1))
33.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d1 (- d4 d1)))
9.0ms	(- (* d1 d2) (* d1 d3))

series117.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(* d1 (- d4 d1))
47.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d1 (- d4 d1)))
36.0ms	(- (* d1 d2) (* d1 d3))

simplify65.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	374	465
1	1828	425
2	5001	417

prune282.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* d1 d2) (* d1 d3))
0.1b	(* (sqrt (* d1 (- d4 d1))) (sqrt (* d1 (- d4 d1))))
9.0b	(sqrt (* d1 (- d4 d1)))
9.0b	(sqrt (* d1 (- d4 d1)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

59×	`pow1`
32×	`sqrt-pow1`
22×	`pow-prod-down`
18×	`associate-*r/`
16×	`sqrt-div`
12×	`pow1/2`
10×	`add-sqr-sqrt` `pow-prod-up`
9×	`flip3--` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `sqrt-prod` `pow-sqr` `add-cbrt-cube` `add-log-exp`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l`
2×	`associate-*l/`
1×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

8.0ms	(- (* d1 d2) (* d1 d3))
59.0ms	(* (sqrt (* d1 (- d4 d1))) (sqrt (* d1 (- d4 d1))))
7.0ms	(sqrt (* d1 (- d4 d1)))
7.0ms	(sqrt (* d1 (- d4 d1)))

series330.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- (* d1 d2) (* d1 d3))
53.0ms	(* (sqrt (* d1 (- d4 d1))) (sqrt (* d1 (- d4 d1))))
120.0ms	(sqrt (* d1 (- d4 d1)))
123.0ms	(sqrt (* d1 (- d4 d1)))

simplify50.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	281	539
1	1249	472
2	5002	451

prune404.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes59.0ms

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	14	6
1	14	6

end0.0ms

sample793.0ms

Algorithm

intervals

Results

489.0ms

11976×

body

valid