Details

Time bar (total: 17.4s)

sample73.0ms

Algorithm
intervals
Results
31.0ms482×body80valid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
06715
122513
282312
3302812
4500112

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.6b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 18.0) y)
0.5b
(* (* 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))))
5.5b
(* (* (* x 18.0) y) z)

rewrite88.0ms

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:
18.0ms
(* (* x 18.0) y)
16.0ms
(* (* 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))))
52.0ms
(* (* (* x 18.0) y) z)

series2.9s

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (* x 18.0) y)
219.0ms
(* (* j 27.0) k)
2.6s
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
27.0ms
(* (* (* x 18.0) y) z)

simplify50.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0326447
11657364
25001364

prune322.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 18.0) y)
0.3b
(* 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)))))
5.5b
(* (* (* x 18.0) y) z)

rewrite88.0ms

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:
16.0ms
(* (* x 18.0) y)
17.0ms
(* 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)))))
52.0ms
(* (* (* x 18.0) y) z)

series2.8s

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (* x 18.0) y)
30.0ms
(* j (* 27.0 k))
2.7s
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
27.0ms
(* (* (* x 18.0) y) z)

simplify50.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0318446
11546363
25002363

prune324.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt j)
0.6b
(cbrt j)
3.6b
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* (cbrt j) (cbrt j)) (* (cbrt j) (* 27.0 k))))))
5.5b
(* (* (* x 18.0) y) z)

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*r*
2×pow1/3
1×associate-*l* *-commutative fma-udef
Counts
4 → 59
Calls
4 calls:
1.0ms
(cbrt j)
1.0ms
(cbrt j)
0.0ms
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* (cbrt j) (cbrt j)) (* (cbrt j) (* 27.0 k))))))
53.0ms
(* (* (* x 18.0) y) z)

series3.2s

Counts
4 → 12
Calls
4 calls:
167.0ms
(cbrt j)
182.0ms
(cbrt j)
2.8s
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* (cbrt j) (cbrt j)) (* (cbrt j) (* 27.0 k))))))
28.0ms
(* (* (* x 18.0) y) z)

simplify38.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0248437
11077368
25002362

prune370.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 2.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt k)
0.6b
(cbrt k)
3.6b
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* (* j 27.0) (* (cbrt k) (cbrt k))) (cbrt k)))))
5.5b
(* (* (* x 18.0) y) z)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*r*
2×pow1/3
1×associate-*l* *-commutative fma-udef
Counts
4 → 59
Calls
4 calls:
1.0ms
(cbrt k)
1.0ms
(cbrt k)
0.0ms
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* (* j 27.0) (* (cbrt k) (cbrt k))) (cbrt k)))))
52.0ms
(* (* (* x 18.0) y) z)

series3.1s

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt k)
180.0ms
(cbrt k)
2.8s
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* (* j 27.0) (* (cbrt k) (cbrt k))) (cbrt k)))))
27.0ms
(* (* (* x 18.0) y) z)

simplify39.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0248437
11074368
25001362

prune336.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 2.2b

regimes1.0s

Accuracy

24.7% (2.6b remaining)

Error of 4.8b against oracle of 2.2b and baseline of 5.6b

bsearch228.0ms

Steps
ItersRangePoint
7
6.084429828909714e-142
4.352150743839159e-140
1.9453967838922817e-140
10
-5.775339508267401e-88
-6.238658651364438e-104
-1.8161049893400003e-100

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05133
15733
25733

end0.0ms

sample2.1s

Algorithm
intervals
Results
967.0ms16079×body80valid