Details

sample173.0ms

Algorithm

intervals

Results

151.0ms

400×

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

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ x (* y z))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
6.3b	(* (* a z) b)

rewrite57.0ms

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))
2.0ms	(+ x (* y z))
38.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
7.0ms	(* (* a z) b)

series62.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ (+ x (* y z)) (* t a))
7.0ms	(+ x (* y z))
31.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
7.0ms	(* (* a z) b)

simplify49.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (44.0ms)

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

prune532.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b)))
6.3b	(* (* a z) b)
6.3b	(* (* a z) b)
6.3b	(* (* a z) b)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

20.0ms	(cbrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b)))
6.0ms	(* (* a z) b)
6.0ms	(* (* a z) b)
8.0ms	(* (* a z) b)

series84.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(cbrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b)))
7.0ms	(* (* a z) b)
7.0ms	(* (* a z) b)
7.0ms	(* (* a z) b)

simplify40.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	272	431
1	1093	383
2	5002	374

prune771.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* a (+ (* z b) t)))
4.2b	(* a (+ (* z b) t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

2.0ms	(+ x (* y z))
10.0ms	(+ (+ x (* y z)) (* a (+ (* z b) t)))
10.0ms	(* a (+ (* z b) t))

series47.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(+ x (* y z))
29.0ms	(+ (+ x (* y z)) (* a (+ (* z b) t)))
12.0ms	(* a (+ (* z b) t))

simplify55.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	374	440
1	1800	416
2	5001	416

prune520.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* b a))
0.0b	(+ (+ (* z (+ y (* b a))) x) (* t a))
0.0b	(+ (* z (+ y (* b a))) x)
2.0b	(* z (+ y (* b a)))

rewrite33.0ms

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:

2.0ms	(+ y (* b a))
19.0ms	(+ (+ (* z (+ y (* b a))) x) (* t a))
4.0ms	(+ (* z (+ y (* b a))) x)
7.0ms	(* z (+ y (* b a)))

series70.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ y (* b a))
30.0ms	(+ (+ (* z (+ y (* b a))) x) (* t a))
20.0ms	(+ (* z (+ y (* b a))) x)
14.0ms	(* z (+ y (* b a)))

simplify41.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (9.0ms)

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

prune509.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes815.0ms

Accuracy

95.8% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 2.9b

bsearch39.0ms

Steps

Iters	Range		Point
1	1.0438929535600027e+33	1.0958873655874213e+33	1.0568915565668573e+33
8	-9.917685958805138e+65	-9.466811589050639e+61	-9.86863163542814e+61

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	12
1	39	12

end0.0ms

sample1.3s

Algorithm

intervals

Results

875.0ms

11862×

body

valid