Details

sample29.0ms

Algorithm

intervals

Results

13.0ms

369×

body

valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	26	7
1	57	6
2	95	6
3	116	6
4	118	6
5	118	6

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* a (+ t (* z b))))
0.0b	(+ (* y z) (+ x (* a (+ t (* z b)))))
3.0b	(* a (+ t (* z b)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 48

Calls

3 calls:

3.0ms	(+ x (* a (+ t (* z b))))
5.0ms	(+ (* y z) (+ x (* a (+ t (* z b)))))
6.0ms	(* a (+ t (* z b)))

series207.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(+ x (* a (+ t (* z b))))
85.0ms	(+ (* y z) (+ x (* a (+ t (* z b)))))
57.0ms	(* a (+ t (* z b)))

simplify43.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	303	338
1	1297	314
2	5001	314

prune145.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.7b	(* (* a z) b)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-log-exp`
9×	`sum-log`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `associate-+l+` `flip3-+` `flip-+`
1×	`associate-l` `*-commutative`

Counts

3 → 45

Calls

3 calls:

5.0ms	(+ (+ x (* y z)) (* t a))
8.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.0ms	(* (* a z) b)

series152.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(+ (+ x (* y z)) (* t a))
81.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
25.0ms	(* (* a z) b)

simplify47.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	281	329
1	1444	298
2	5001	297

prune135.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

5.7b	(* (* a z) b)
11.3b	(cbrt (* (* a z) b))
11.3b	(cbrt (* (* a z) b))
11.3b	(cbrt (* (* a z) b))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 45

Calls

4 calls:

5.0ms	(* (* a z) b)
4.0ms	(cbrt (* (* a z) b))
3.0ms	(cbrt (* (* a z) b))
4.0ms	(cbrt (* (* a z) b))

series292.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* a z) b)
89.0ms	(cbrt (* (* a z) b))
88.0ms	(cbrt (* (* a z) b))
89.0ms	(cbrt (* (* a z) b))

simplify79.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (75.0ms)

Iter	Nodes	Cost
0	181	286
1	716	238
2	3196	229
3	5001	210

prune209.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt b)
0.7b	(cbrt b)
1.4b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
4.4b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
4×	`add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 74

Calls

4 calls:

1.0ms	(cbrt b)
1.0ms	(cbrt b)
11.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
9.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series495.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt b)
168.0ms	(cbrt b)
43.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
99.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify52.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	258	535
1	1318	385
2	5001	337

prune221.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes260.0ms

Accuracy

85.4% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.9b

bsearch102.0ms

Steps

Iters	Range		Point
8	2.4143631014668436e-97	1.2736805091672873e-92	5.4395231278996286e-95
9	-1.7308397699373944e+70	-1.844572840548954e+65	-8.621781128515562e+67

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	13
1	39	13

end0.0ms

sample808.0ms

Algorithm

intervals

Results

419.0ms

11806×

body

valid