Details

Time bar (total: 19.1s)

sample73.0ms

Algorithm
intervals
Results
37.0ms514×body80valid

simplify84.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
06715
122513
282312
3302812
4500112

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.9b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 18.0) y)
0.3b
(* (* j 27.0) k)
2.4b
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
4.0b
(* (* (* x 18.0) y) z)

rewrite41.0ms

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))))
25.0ms
(* (* (* x 18.0) y) z)

series3.1s

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (* x 18.0) y)
20.0ms
(* (* j 27.0) k)
3.0s
(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)

simplify67.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0326447
11657364
25001364

prune397.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 18.0) y)
0.3b
(* j (* 27.0 k))
2.4b
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
4.0b
(* (* (* x 18.0) y) z)

rewrite37.0ms

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:
7.0ms
(* (* 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)))))
22.0ms
(* (* (* x 18.0) y) z)

series3.0s

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (* 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)))))
34.0ms
(* (* (* x 18.0) y) z)

simplify65.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0318446
11546363
25002363

prune642.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
1.4b
(* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z))
2.4b
(fma t (- (* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z)) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
2.8b
(* (* (* x 18.0) y) (* (cbrt z) (cbrt z)))

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
54×pow1 add-exp-log
37×pow-prod-down prod-exp cbrt-unprod
35×add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r*
6×cbrt-prod
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×associate-*l* *-commutative
1×pow1/3 fma-udef
Counts
4 → 91
Calls
4 calls:
1.0ms
(cbrt z)
115.0ms
(* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z))
0.0ms
(fma t (- (* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z)) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
35.0ms
(* (* (* x 18.0) y) (* (cbrt z) (cbrt z)))

series3.4s

Counts
4 → 12
Calls
4 calls:
224.0ms
(cbrt z)
51.0ms
(* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z))
3.0s
(fma t (- (* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z)) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
137.0ms
(* (* (* x 18.0) y) (* (cbrt z) (cbrt z)))

simplify82.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0400966
11907705
25001642

prune479.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt z))
1.4b
(* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))))
2.4b
(fma t (- (* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z)))) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
2.8b
(* (* (* x 18.0) y) (* (cbrt z) (cbrt z)))

rewrite201.0ms

Algorithm
rewrite-expression-head
Rules
133×pow1 add-exp-log
102×pow-prod-down prod-exp cbrt-unprod
81×add-cbrt-cube
9×cbrt-prod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×associate-*r* associate-*l* *-commutative
1×pow1/3 fma-udef
Counts
4 → 131
Calls
4 calls:
1.0ms
(cbrt (cbrt z))
161.0ms
(* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))))
0.0ms
(fma t (- (* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z)))) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
30.0ms
(* (* (* x 18.0) y) (* (cbrt z) (cbrt z)))

series3.5s

Counts
4 → 12
Calls
4 calls:
281.0ms
(cbrt (cbrt z))
58.0ms
(* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))))
3.0s
(fma t (- (* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z)))) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
136.0ms
(* (* (* x 18.0) y) (* (cbrt z) (cbrt z)))

simplify98.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
05902258
125801453
250011095

prune460.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 2.0b

regimes1.1s

Accuracy

0% (3.5b remaining)

Error of 5.7b against oracle of 2.1b and baseline of 5.7b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03717
13717

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.1s16184×body80valid