Details

Time bar (total: 10.0s)

sample70.0ms

Algorithm
intervals
Results
35.0ms508×body80valid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
06715
122513
282312
3302812
4500112

prune9.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 18.0) y)
0.2b
(* (* j 27.0) k)
2.7b
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
4.7b
(* (* (* x 18.0) y) z)

rewrite38.0ms

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:
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))))
23.0ms
(* (* (* x 18.0) y) z)

series3.0s

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* x 18.0) y)
17.0ms
(* (* 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))))
26.0ms
(* (* (* x 18.0) y) z)

simplify53.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0326447
11657364
25001364

prune347.0ms

Filtered
85 candidates to 54 candidates (63.5%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.3b

localize25.0ms

Local error

Found 4 expressions with local error:

4.7b
(* (* (* x 18.0) y) z)
16.8b
(cbrt (* (* (* x 18.0) y) z))
16.8b
(cbrt (* (* (* x 18.0) y) z))
16.8b
(cbrt (* (* (* x 18.0) y) z))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log add-cbrt-cube
6×pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 associate-*r*
1×associate-*l* *-commutative
Counts
4 → 56
Calls
4 calls:
20.0ms
(* (* (* x 18.0) y) z)
18.0ms
(cbrt (* (* (* x 18.0) y) z))
20.0ms
(cbrt (* (* (* x 18.0) y) z))
19.0ms
(cbrt (* (* (* x 18.0) y) z))

series355.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (* (* x 18.0) y) z)
112.0ms
(cbrt (* (* (* x 18.0) y) z))
108.0ms
(cbrt (* (* (* x 18.0) y) z))
109.0ms
(cbrt (* (* (* x 18.0) y) z))

simplify40.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0246412
11058357
25002348

prune440.0ms

Filtered
68 candidates to 57 candidates (83.8%)
Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.3b

localize32.0ms

Local error

Found 4 expressions with local error:

4.7b
(* (* (* x 18.0) y) z)
16.8b
(cbrt (* (* (* x 18.0) y) z))
16.8b
(cbrt (* (* (* x 18.0) y) z))
16.8b
(cbrt (* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z)))

rewrite166.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log add-cbrt-cube
6×pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 associate-*r*
1×associate-*l* *-commutative
Counts
4 → 56
Calls
4 calls:
21.0ms
(* (* (* x 18.0) y) z)
18.0ms
(cbrt (* (* (* x 18.0) y) z))
19.0ms
(cbrt (* (* (* x 18.0) y) z))
106.0ms
(cbrt (* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z)))

series382.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (* (* x 18.0) y) z)
112.0ms
(cbrt (* (* (* x 18.0) y) z))
112.0ms
(cbrt (* (* (* x 18.0) y) z))
130.0ms
(cbrt (* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z)))

simplify41.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0270479
11113414
25001402

prune518.0ms

Filtered
68 candidates to 57 candidates (83.8%)
Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.3b

localize42.0ms

Local error

Found 4 expressions with local error:

16.8b
(cbrt (* (* (* x 18.0) y) z))
16.8b
(cbrt (* (* (* x 18.0) y) z))
16.8b
(cbrt (* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z)))
16.8b
(cbrt (* (* (cbrt (* (* (* x 18.0) y) z)) (cbrt (* (* (* x 18.0) y) z))) (cbrt (* (* (* x 18.0) y) z))))

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log cbrt-prod add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
1×pow3 rem-cbrt-cube
Counts
4 → 45
Calls
4 calls:
20.0ms
(cbrt (* (* (* x 18.0) y) z))
18.0ms
(cbrt (* (* (* x 18.0) y) z))
105.0ms
(cbrt (* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z)))
25.0ms
(cbrt (* (* (cbrt (* (* (* x 18.0) y) z)) (cbrt (* (* (* x 18.0) y) z))) (cbrt (* (* (* x 18.0) y) z))))

series463.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(cbrt (* (* (* x 18.0) y) z))
116.0ms
(cbrt (* (* (* x 18.0) y) z))
123.0ms
(cbrt (* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z)))
114.0ms
(cbrt (* (* (cbrt (* (* (* x 18.0) y) z)) (cbrt (* (* (* x 18.0) y) z))) (cbrt (* (* (* x 18.0) y) z))))

simplify71.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
0161598
1393530
21159405
33497338
45002338

prune484.0ms

Filtered
57 candidates to 57 candidates (100.0%)
Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 2.3b

regimes907.0ms

Accuracy

50.3% (1.8b remaining)

Error of 3.9b against oracle of 2.2b and baseline of 5.7b

bsearch303.0ms

Steps
ItersRangePoint
9
1.39156510454091e-128
5.988330218146677e-123
7.47333942669429e-125
10
-6.71250718277929e-43
-1.103559155797966e-56
-2.0634572862542137e-44

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05424
15424

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.1s15954×body80valid