Details

sample127.0ms

Algorithm

intervals

Results

89.0ms

516×

body

valid

simplify84.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	67	15
1	225	13
2	823	12
3	3028	12
4	5001	12

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.4b	(* (* j 27.0) k)
2.9b	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
6.9b	(* (* (* x 18.0) y) z)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-r`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `*-commutative`
1×	`fma-udef`

Counts

4 → 73

Calls

4 calls:

7.0ms	(* (* x 18.0) y)
7.0ms	(* (* j 27.0) k)
0.0ms	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
22.0ms	(* (* (* x 18.0) y) z)

series3.3s

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (* x 18.0) y)
19.0ms	(* (* j 27.0) k)
3.2s	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
30.0ms	(* (* (* x 18.0) y) z)

simplify65.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	326	447
1	1657	364
2	5001	364

prune390.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 1.7b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* x (* z y)))
0.4b	(* (* j 27.0) k)
2.9b	(fma t (- (pow (* 18.0 (* x (* z y))) 1) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
4.8b	(* x (* z y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
1×	`fma-udef`

Counts

4 → 73

Calls

4 calls:

15.0ms	(* 18.0 (* x (* z y)))
6.0ms	(* (* j 27.0) k)
0.0ms	(fma t (- (pow (* 18.0 (* x (* z y))) 1) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
6.0ms	(* x (* z y))

series3.1s

Counts

4 → 12

Calls

4 calls:

31.0ms	(* 18.0 (* x (* z y)))
19.0ms	(* (* j 27.0) k)
3.0s	(fma t (- (pow (* 18.0 (* x (* z y))) 1) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
28.0ms	(* x (* z y))

simplify58.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	305	456
1	1270	370
2	5001	370

prune423.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 1.7b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* (* x z) y))
0.4b	(* (* j 27.0) k)
2.9b	(fma t (- (pow (* 18.0 (* (* x z) y)) 1) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
4.9b	(* (* x z) y)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
1×	`fma-udef`

Counts

4 → 73

Calls

4 calls:

17.0ms	(* 18.0 (* (* x z) y))
7.0ms	(* (* j 27.0) k)
0.0ms	(fma t (- (pow (* 18.0 (* (* x z) y)) 1) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
9.0ms	(* (* x z) y)

series3.0s

Counts

4 → 12

Calls

4 calls:

30.0ms	(* 18.0 (* (* x z) y))
20.0ms	(* (* j 27.0) k)
3.0s	(fma t (- (pow (* 18.0 (* (* x z) y)) 1) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
29.0ms	(* (* x z) y)

simplify62.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	321	458
1	1526	372
2	5001	372

prune408.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.7b

localize28.0ms

Local error

Found 4 expressions with local error:

4.9b	(* (* x z) y)
13.8b	(cbrt (* (* x z) y))
13.8b	(cbrt (* (* x z) y))
13.8b	(cbrt (* (* x z) y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 53

Calls

4 calls:

6.0ms	(* (* x z) y)
7.0ms	(cbrt (* (* x z) y))
5.0ms	(cbrt (* (* x z) y))
5.0ms	(cbrt (* (* x z) y))

series332.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (* x z) y)
100.0ms	(cbrt (* (* x z) y))
101.0ms	(cbrt (* (* x z) y))
103.0ms	(cbrt (* (* x z) y))

simplify95.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (89.0ms)

Iter	Nodes	Cost
0	188	316
1	732	268
2	3240	259
3	5001	240

prune451.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 1.7b

regimes1.1s

Accuracy

46.7% (1.9b remaining)

Error of 3.9b against oracle of 2.0b and baseline of 5.5b

bsearch163.0ms

Steps

Iters	Range		Point
0	2.91409418487268e-73	3.01908500027662e-73	2.96658959257465e-73
8	-5.323061904289924e-102	-8.353231794780482e-106	-3.6487252448166965e-103

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	64	30
1	64	30

end0.0ms

sample3.6s

Algorithm

intervals

Results

2.8s

16423×

body

valid