Details

Time bar (total: 20.7s)

sample138.0ms

Algorithm
intervals
Results
101.0ms496×body80valid

simplify84.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
06715
122513
282312
3302812
4500112

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.4b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 18.0) y)
0.2b
(* (* j 27.0) k)
3.6b
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
4.4b
(* (* (* x 18.0) y) z)

rewrite39.0ms

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)
9.0ms
(* (* 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))))
21.0ms
(* (* (* x 18.0) y) z)

series3.0s

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (* x 18.0) y)
20.0ms
(* (* j 27.0) k)
2.9s
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
29.0ms
(* (* (* x 18.0) y) z)

simplify64.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0326447
11657364
25001364

prune619.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.9b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 18.0) y)
0.2b
(* j (* 27.0 k))
3.6b
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
4.4b
(* (* (* x 18.0) y) z)

rewrite35.0ms

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:
6.0ms
(* (* x 18.0) y)
6.0ms
(* 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)))))
21.0ms
(* (* (* x 18.0) y) z)

series3.0s

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (* x 18.0) y)
19.0ms
(* j (* 27.0 k))
2.9s
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
34.0ms
(* (* (* x 18.0) y) z)

simplify64.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0318446
11546363
25002363

prune374.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.9b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
3.6b
(fma t (- (* (* (* (* x 18.0) (* (cbrt y) (cbrt y))) (cbrt y)) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
4.4b
(* (* (* (* x 18.0) (* (cbrt y) (cbrt y))) (cbrt y)) z)

rewrite188.0ms

Algorithm
rewrite-expression-head
Rules
29×pow1 add-exp-log
20×add-cbrt-cube
19×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*r*
2×pow1/3
1×associate-*l* *-commutative fma-udef
Counts
4 → 68
Calls
4 calls:
0.0ms
(cbrt y)
1.0ms
(cbrt y)
0.0ms
(fma t (- (* (* (* (* x 18.0) (* (cbrt y) (cbrt y))) (cbrt y)) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
184.0ms
(* (* (* (* x 18.0) (* (cbrt y) (cbrt y))) (cbrt y)) z)

series3.5s

Counts
4 → 12
Calls
4 calls:
196.0ms
(cbrt y)
200.0ms
(cbrt y)
3.0s
(fma t (- (* (* (* (* x 18.0) (* (cbrt y) (cbrt y))) (cbrt y)) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
54.0ms
(* (* (* (* x 18.0) (* (cbrt y) (cbrt y))) (cbrt y)) z)

simplify72.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0349677
11623524
25002471

prune435.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.9b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k))))
0.2b
(* j (* 27.0 k))
3.6b
(fma t (- (pow (* (* z y) (* x 18.0)) 1) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
4.2b
(* (* z y) (* x 18.0))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
21×pow1 add-exp-log add-cbrt-cube
11×pow-prod-down prod-exp cbrt-unprod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
4×expm1-log1p-u associate-*l* log1p-expm1-u
3×prod-diff
2×associate-*r* *-commutative fma-udef
1×sub-neg flip3-- fma-neg diff-log flip-- associate--r+
Counts
4 → 73
Calls
4 calls:
3.0ms
(- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k))))
6.0ms
(* j (* 27.0 k))
0.0ms
(fma t (- (pow (* (* z y) (* x 18.0)) 1) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
14.0ms
(* (* z y) (* x 18.0))

series3.1s

Counts
4 → 12
Calls
4 calls:
101.0ms
(- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k))))
20.0ms
(* j (* 27.0 k))
3.0s
(fma t (- (pow (* (* z y) (* x 18.0)) 1) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
30.0ms
(* (* z y) (* x 18.0))

simplify67.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0398640
11594498
25001498

prune359.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.9b

regimes1.1s

Accuracy

31.8% (2.4b remaining)

Error of 4.7b against oracle of 2.3b and baseline of 5.8b

bsearch289.0ms

Steps
ItersRangePoint
7
1.2616975511295526e-207
1.316055524870703e-205
6.216162519181201e-206
7
-8.74334302503735e-109
-3.098806504709037e-110
-2.359730340784048e-109

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05840
15940
26540
36540

end0.0ms

sample4.0s

Algorithm
intervals
Results
3.1s16091×body80valid