Details

Time bar (total: 43.2s)

sample18.0ms

Algorithm
intervals
Results
7.0ms314×body80valid

simplify32.8s

Counts
1 → 1
Iterations

Useful iterations: 4 (23.0ms)

IterNodesCost
089
1149
2349
3869
42018
53498
65938
78128
812728
918288
1027588
1138338
1239378
1347638
done50008

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize7.0ms

Local error

Found 1 expressions with local error:

3.8b
(* (fma (- y 1.0) z 1.0) x)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
1×expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 20
Calls
1 calls:
3.0ms
(* (fma (- y 1.0) z 1.0) x)

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(* (fma (- y 1.0) z 1.0) x)

simplify3.6s

Counts
23 → 23
Iterations

Useful iterations: 3 (130.0ms)

IterNodesCost
044266
196259
2320219
31065215
44045215
done5000215

prune70.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 3.9b

localize12.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0))) (* (cbrt (fma (- y 1.0) z 1.0)) x))
4.1b
(cbrt (fma (- y 1.0) z 1.0))
4.1b
(cbrt (fma (- y 1.0) z 1.0))
4.1b
(cbrt (fma (- y 1.0) z 1.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log
10×add-cbrt-cube
9×cbrt-prod
8×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
1×associate-*r* associate-*l* *-commutative
Counts
4 → 63
Calls
4 calls:
18.0ms
(* (* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0))) (* (cbrt (fma (- y 1.0) z 1.0)) x))
1.0ms
(cbrt (fma (- y 1.0) z 1.0))
1.0ms
(cbrt (fma (- y 1.0) z 1.0))
1.0ms
(cbrt (fma (- y 1.0) z 1.0))

series437.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* (* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0))) (* (cbrt (fma (- y 1.0) z 1.0)) x))
125.0ms
(cbrt (fma (- y 1.0) z 1.0))
125.0ms
(cbrt (fma (- y 1.0) z 1.0))
129.0ms
(cbrt (fma (- y 1.0) z 1.0))

simplify1.6s

Counts
75 → 75
Iterations

Useful iterations: 3 (342.0ms)

IterNodesCost
01021595
12711519
28211053
32993840
done5001840

prune235.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 3.9b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (fma (- y 1.0) z 1.0)) (* (cbrt (fma (- y 1.0) z 1.0)) (* (cbrt (fma (- y 1.0) z 1.0)) x)))
4.1b
(cbrt (fma (- y 1.0) z 1.0))
4.1b
(cbrt (fma (- y 1.0) z 1.0))
4.1b
(cbrt (fma (- y 1.0) z 1.0))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log
12×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
6×associate-*l* pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
1×associate-*r* *-commutative
Counts
4 → 65
Calls
4 calls:
27.0ms
(* (cbrt (fma (- y 1.0) z 1.0)) (* (cbrt (fma (- y 1.0) z 1.0)) (* (cbrt (fma (- y 1.0) z 1.0)) x)))
1.0ms
(cbrt (fma (- y 1.0) z 1.0))
1.0ms
(cbrt (fma (- y 1.0) z 1.0))
1.0ms
(cbrt (fma (- y 1.0) z 1.0))

series420.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* (cbrt (fma (- y 1.0) z 1.0)) (* (cbrt (fma (- y 1.0) z 1.0)) (* (cbrt (fma (- y 1.0) z 1.0)) x)))
122.0ms
(cbrt (fma (- y 1.0) z 1.0))
117.0ms
(cbrt (fma (- y 1.0) z 1.0))
123.0ms
(cbrt (fma (- y 1.0) z 1.0))

simplify1.4s

Counts
77 → 77
Iterations

Useful iterations: 3 (336.0ms)

IterNodesCost
01051594
12711545
27951130
32829925
done5001925

prune250.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 3.9b

localize17.0ms

Local error

Found 4 expressions with local error:

4.1b
(cbrt (fma (- y 1.0) z 1.0))
4.1b
(cbrt (fma (- y 1.0) z 1.0))
4.1b
(cbrt (fma (- y 1.0) z 1.0))
4.1b
(cbrt (fma (- y 1.0) z 1.0))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt (fma (- y 1.0) z 1.0))
1.0ms
(cbrt (fma (- y 1.0) z 1.0))
1.0ms
(cbrt (fma (- y 1.0) z 1.0))
1.0ms
(cbrt (fma (- y 1.0) z 1.0))

series480.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(cbrt (fma (- y 1.0) z 1.0))
113.0ms
(cbrt (fma (- y 1.0) z 1.0))
123.0ms
(cbrt (fma (- y 1.0) z 1.0))
126.0ms
(cbrt (fma (- y 1.0) z 1.0))

simplify822.0ms

Counts
64 → 64
Iterations

Useful iterations: done (819.0ms)

IterNodesCost
0611048
1147996
2349928
31174792
done5000756

prune271.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 3.9b

regimes86.0ms

Accuracy

0% (0.1b remaining)

Error of 3.4b against oracle of 3.3b and baseline of 3.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
188
done88

end0.0ms

sample464.0ms

Algorithm
intervals
Results
237.0ms9988×body80valid