Details

Time bar (total: 17.7s)

sample78.0ms

Algorithm
intervals
Results
40.0ms510×body80valid

simplify86.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
06715
122513
282312
3302812
4500112

prune12.0ms

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

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 18.0) y)
0.4b
(* (* j 27.0) k)
3.1b
(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)

rewrite23.0ms

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:
8.0ms
(* (* 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))))
7.0ms
(* (* (* x 18.0) y) z)

series3.0s

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (* 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))))
29.0ms
(* (* (* x 18.0) y) z)

simplify63.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0326447
11657364
25001364

prune369.0ms

Filtered
85 candidates to 54 candidates (63.5%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New77885
Fresh000
Picked101
Done000
Total78886

Merged error: 1.9b

Counts
86 → 8

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 18.0) y)
0.2b
(* j (* 27.0 k))
3.1b
(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)

rewrite20.0ms

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

series3.0s

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (* x 18.0) y)
22.0ms
(* 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)

simplify67.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0318446
11546363
25002363

prune382.0ms

Filtered
85 candidates to 53 candidates (62.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh077
Picked011
Done000
Total84993

Merged error: 1.8b

Counts
93 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k)))
0.4b
(* (* j 27.0) k)
3.1b
(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))

rewrite19.0ms

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-*r* log1p-expm1-u
3×prod-diff
2×associate-*l* *-commutative fma-udef
1×sub-neg flip3-- fma-neg diff-log flip-- associate--r+
Counts
4 → 73
Calls
4 calls:
4.0ms
(- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k)))
6.0ms
(* (* 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))))
6.0ms
(* (* x 18.0) (* y z))

series3.1s

Counts
4 → 12
Calls
4 calls:
101.0ms
(- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k)))
22.0ms
(* (* 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))))
32.0ms
(* (* x 18.0) (* y z))

simplify62.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0405628
11656489
25001489

prune365.0ms

Filtered
85 candidates to 52 candidates (61.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New82385
Fresh257
Picked101
Done011
Total85994

Merged error: 1.8b

Counts
94 → 9

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma b c (- (fma x (* 4.0 i) (* (* j 27.0) k))))
0.4b
(* (* j 27.0) k)
3.1b
(fma t (- (* (* x 18.0) (* y z)) (* a 4.0)) (fma b c (- (fma x (* 4.0 i) (* (* j 27.0) k)))))
4.4b
(* (* x 18.0) (* y z))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
21×pow1 add-exp-log add-cbrt-cube
11×pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
2×associate-*l* *-commutative fma-udef
Counts
4 → 64
Calls
4 calls:
1.0ms
(fma b c (- (fma x (* 4.0 i) (* (* j 27.0) k))))
8.0ms
(* (* j 27.0) k)
1.0ms
(fma t (- (* (* x 18.0) (* y z)) (* a 4.0)) (fma b c (- (fma x (* 4.0 i) (* (* j 27.0) k)))))
7.0ms
(* (* x 18.0) (* y z))

series3.4s

Counts
4 → 12
Calls
4 calls:
101.0ms
(fma b c (- (fma x (* 4.0 i) (* (* j 27.0) k))))
20.0ms
(* (* j 27.0) k)
3.2s
(fma t (- (* (* x 18.0) (* y z)) (* a 4.0)) (fma b c (- (fma x (* 4.0 i) (* (* j 27.0) k)))))
31.0ms
(* (* x 18.0) (* y z))

simplify58.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0310475
11299387
25001387

prune324.0ms

Filtered
76 candidates to 49 candidates (64.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New74276
Fresh347
Picked101
Done011
Total78785

Merged error: 1.8b

Counts
85 → 7

regimes951.0ms

Accuracy

50.8% (2.0b remaining)

Error of 4.4b against oracle of 2.4b and baseline of 6.4b

bsearch230.0ms

Steps
ItersRangePoint
9
5.633863048964624e-132
5.6274658287191175e-126
1.6425602788359552e-131
6
-2.7036907453770258e-114
-1.6902579985282683e-115
-2.42866793610458e-115

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05321
15921
25921

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.2s16062×body80valid