Details

sample34.0ms

Algorithm

intervals

Results

12.0ms

381×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

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

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* t a))
5.1b	(* (* a z) b)

rewrite129.0ms

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:

85.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.0ms	(+ x (* y z))
21.0ms	(+ (+ x (* y z)) (* t a))
17.0ms	(* (* a z) b)

series186.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
25.0ms	(+ x (* y z))
49.0ms	(+ (+ x (* y z)) (* t a))
26.0ms	(* (* a z) b)

simplify48.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (43.0ms)

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

prune163.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z b) t)
0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* a (+ (* z b) t)))
3.1b	(* a (+ (* z b) t))

rewrite66.0ms

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:

9.0ms	(+ (* z b) t)
5.0ms	(+ x (* y z))
25.0ms	(+ (+ x (* y z)) (* a (+ (* z b) t)))
26.0ms	(* a (+ (* z b) t))

series178.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (* z b) t)
25.0ms	(+ x (* y z))
91.0ms	(+ (+ x (* y z)) (* a (+ (* z b) t)))
41.0ms	(* a (+ (* z b) t))

simplify54.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 1 (11.0ms)

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

prune211.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

6.0ms	(+ y (* b a))
11.0ms	(+ (* z (+ y (* b a))) x)
49.0ms	(+ (+ (* z (+ y (* b a))) x) (* t a))
15.0ms	(* z (+ y (* b a)))

series243.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ y (* b a))
69.0ms	(+ (* z (+ y (* b a))) x)
92.0ms	(+ (+ (* z (+ y (* b a))) x) (* t a))
56.0ms	(* z (+ y (* b a)))

simplify45.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	323	402
1	1326	373
2	5002	373

prune170.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
1.6b	(* (cbrt a) (+ (* z b) t))
1.9b	(* (* (cbrt a) (cbrt a)) (* (cbrt a) (+ (* z b) t)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
27.0ms	(* (cbrt a) (+ (* z b) t))
55.0ms	(* (* (cbrt a) (cbrt a)) (* (cbrt a) (+ (* z b) t)))

series577.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt a)
170.0ms	(cbrt a)
171.0ms	(* (cbrt a) (+ (* z b) t))
62.0ms	(* (* (cbrt a) (cbrt a)) (* (cbrt a) (+ (* z b) t)))

simplify59.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	334	577
1	1525	441
2	5001	394

prune223.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes238.0ms

Accuracy

42.1% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 2.0b

bsearch99.0ms

Steps

Iters	Range		Point
9	2.3804344030953187e+201	1.387367027131254e+210	2.4152520560821147e+201
8	-1.5939474190186257e-73	-4.2179502962507647e-76	-6.52956660049299e-76

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	18
1	41	18

end0.0ms

sample942.0ms

Algorithm

intervals

Results

393.0ms

11805×

body

valid