Details

sample44.0ms

Algorithm

intervals

Results

28.0ms

349×

body

valid

simplify13.0ms

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

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

9.0ms	(+ (+ x (* y z)) (* t a))
39.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
2.0ms	(+ x (* y z))
7.0ms	(* (* a z) b)

series173.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ (+ x (* y z)) (* t a))
79.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
23.0ms	(+ x (* y z))
25.0ms	(* (* a z) b)

simplify50.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	335	378
1	1670	347
2	5002	342

prune171.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (* y z)) (* a (+ (* z b) t)))
0.0b	(+ x (* y z))
0.0b	(+ (* z b) t)
2.5b	(* a (+ (* z b) t))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

11.0ms	(+ (+ x (* y z)) (* a (+ (* z b) t)))
4.0ms	(+ x (* y z))
3.0ms	(+ (* z b) t)
10.0ms	(* a (+ (* z b) t))

series163.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(+ (+ x (* y z)) (* a (+ (* z b) t)))
26.0ms	(+ x (* y z))
21.0ms	(+ (* z b) t)
37.0ms	(* a (+ (* z b) t))

simplify52.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	381	497
1	1810	468
2	5001	468

prune232.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

5.7b	(* (* a z) b)
15.0b	(cbrt (* (* a z) b))
15.0b	(cbrt (* (* a z) b))
15.0b	(cbrt (* (* a z) b))

rewrite22.0ms

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:

6.0ms	(* (* a z) b)
5.0ms	(cbrt (* (* a z) b))
5.0ms	(cbrt (* (* a z) b))
5.0ms	(cbrt (* (* a z) b))

series290.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* a z) b)
91.0ms	(cbrt (* (* a z) b))
87.0ms	(cbrt (* (* a z) b))
87.0ms	(cbrt (* (* a z) b))

simplify76.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (71.0ms)

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

prune215.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ y (* b a))
0.0b	(+ (* z (+ y (* b a))) x)
2.7b	(* z (+ y (* b a)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 46

Calls

3 calls:

2.0ms	(+ y (* b a))
4.0ms	(+ (* z (+ y (* b a))) x)
7.0ms	(* z (+ y (* b a)))

series144.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ y (* b a))
64.0ms	(+ (* z (+ y (* b a))) x)
54.0ms	(* z (+ y (* b a)))

simplify139.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	240	266
1	973	243
2	4543	240
3	5002	240

prune149.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes227.0ms

Accuracy

86.3% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.3b

bsearch121.0ms

Steps

Iters	Range		Point
7	5.511596905842973e-11	1.1798657159948353e-09	1.1639564676385755e-09
9	-1.225796681618795e+68	-1.4415853907211442e+60	-3.9050378667208727e+64

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	21
1	43	21

end0.0ms

sample1.4s

Algorithm

intervals

Results

959.0ms

11776×

body

valid