Details

sample31.0ms

Algorithm

intervals

Results

15.0ms

363×

body

valid

simplify12.0ms

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

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* t a))
5.2b	(* (* a z) b)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 42

Calls

3 calls:

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

series93.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(+ x (* y z))
45.0ms	(+ (+ x (* y z)) (* t a))
25.0ms	(* (* a z) b)

simplify37.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	262	221
1	1167	197
2	5002	197

prune129.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (+ x (* y z)) (* t a)))
0.6b	(cbrt (+ (+ x (* y z)) (* t a)))
0.6b	(cbrt (+ (+ x (* y z)) (* t a)))
5.2b	(* (* a z) b)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

4.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
4.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
4.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
5.0ms	(* (* a z) b)

series548.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
176.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
175.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
27.0ms	(* (* a z) b)

simplify114.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	277	571
1	1012	520
2	4879	499
3	5001	499

prune237.0ms

Pruning

5 alts after pruning (4 fresh and 1 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)))))
2.5b	(* a (+ t (* z b)))

rewrite14.0ms

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)))))
5.0ms	(* a (+ t (* z b)))

series207.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(+ x (* a (+ t (* z b))))
86.0ms	(+ (* y z) (+ x (* a (+ t (* z b)))))
56.0ms	(* a (+ t (* z b)))

simplify41.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (9.0ms)

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

prune146.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (+ x (* y z)) (* t a)))
0.6b	(cbrt (+ (+ x (* y z)) (* t a)))
0.6b	(cbrt (+ (+ x (* y z)) (* t a)))
5.2b	(* (* a z) b)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

4.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
4.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
4.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
5.0ms	(* (* a z) b)

series548.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
173.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
174.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
27.0ms	(* (* a z) b)

simplify119.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	277	571
1	1012	520
2	4879	499
3	5001	499

prune276.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes253.0ms

Accuracy

82.9% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.1b

bsearch114.0ms

Steps

Iters	Range		Point
9	1.2956106952685901e+43	3.160563175756606e+48	1.3931728005119902e+43
9	-6.892416458984462e+65	-8.014236325537408e+59	-1.2260483342250231e+64

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	13
1	39	13

end0.0ms

sample825.0ms

Algorithm

intervals

Results

438.0ms

11726×

body

valid