Details

Time bar (total: 18.7s)

sample76.0ms

Algorithm
intervals
Results
38.0ms520×body80valid

simplify90.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
06715
122513
282312
3302812
4500112

prune18.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 5.9b

Counts
2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* x 18.0) y)
0.4b
(* (* 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))))
3.9b
(* (* (* x 18.0) y) z)

rewrite22.0ms

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:
5.0ms
(* (* x 18.0) y)
5.0ms
(* (* j 27.0) k)
1.0ms
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
8.0ms
(* (* (* x 18.0) y) z)

series3.1s

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (* 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))))
30.0ms
(* (* (* x 18.0) y) z)

simplify69.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0326447
11657364
25001364

prune380.0ms

Filtered
85 candidates to 54 candidates (63.5%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New751085
Fresh000
Picked101
Done000
Total761086

Merged error: 1.3b

Counts
86 → 10

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(* j (* 27.0 k))
0.3b
(* (* x 18.0) y)
3.6b
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
3.9b
(* (* (* x 18.0) y) z)

rewrite22.0ms

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:
5.0ms
(* j (* 27.0 k))
6.0ms
(* (* x 18.0) y)
1.0ms
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
8.0ms
(* (* (* x 18.0) y) z)

series3.1s

Counts
4 → 12
Calls
4 calls:
19.0ms
(* j (* 27.0 k))
22.0ms
(* (* x 18.0) y)
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 (15.0ms)

IterNodesCost
0318446
11546363
25002363

prune368.0ms

Filtered
85 candidates to 53 candidates (62.4%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New81485
Fresh369
Picked101
Done000
Total851095

Merged error: 1.3b

Counts
95 → 10

localize23.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* j 27.0) k)
0.5b
(* x (* 18.0 y))
3.6b
(fma t (- (* (* x (* 18.0 y)) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
3.9b
(* (* x (* 18.0 y)) z)

rewrite22.0ms

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
(* (* j 27.0) k)
5.0ms
(* x (* 18.0 y))
1.0ms
(fma t (- (* (* x (* 18.0 y)) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
8.0ms
(* (* x (* 18.0 y)) z)

series3.1s

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (* j 27.0) k)
23.0ms
(* x (* 18.0 y))
3.0s
(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)

simplify64.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0324447
11471364
25001364

prune339.0ms

Filtered
85 candidates to 51 candidates (60.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New85085
Fresh099
Picked011
Done000
Total851095

Merged error: 1.3b

Counts
95 → 10

localize33.0ms

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))))))
3.9b
(* (* (* x 18.0) y) z)

rewrite13.0ms

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)
1.0ms
(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))))))
8.0ms
(* (* (* x 18.0) y) z)

series3.7s

Counts
4 → 12
Calls
4 calls:
194.0ms
(cbrt j)
209.0ms
(cbrt j)
3.3s
(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))))))
30.0ms
(* (* (* x 18.0) y) z)

simplify55.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0248437
11077368
25002362

prune361.0ms

Filtered
71 candidates to 55 candidates (77.5%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New69271
Fresh088
Picked101
Done011
Total701181

Merged error: 1.3b

Counts
81 → 11

regimes1.3s

Accuracy

30.9% (2.4b remaining)

Error of 4.4b against oracle of 2.0b and baseline of 5.4b

bsearch275.0ms

Steps
ItersRangePoint
8
4.0788763279964675e-171
7.617570125143691e-168
3.425637616529163e-169
8
-1.888200833399696e-30
-1.5455493923281505e-33
-6.08335225107628e-33

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05221
15821
25821

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.2s16100×body80valid