Details

Time bar (total: 39.5s)

sample17.0ms

Algorithm
intervals
Results
7.0ms327×body80valid

simplify30.6s

Counts
1 → 1
Iterations

Useful iterations: 4 (25.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize6.0ms

Local error

Found 1 expressions with local error:

4.8b
(* (fma (- y 1.0) z 1.0) x)

rewrite3.0ms

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)

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(* (fma (- y 1.0) z 1.0) x)

simplify3.3s

Counts
23 → 23
Iterations

Useful iterations: 3 (120.0ms)

IterNodesCost
044266
196259
2320219
31065215
44045215
done5000215

prune59.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.9b

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* (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))
5.0b
(cbrt (fma (- y 1.0) z 1.0))
5.0b
(cbrt (fma (- y 1.0) z 1.0))
5.0b
(cbrt (fma (- y 1.0) z 1.0))

rewrite19.0ms

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:
16.0ms
(* (* (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))
0.0ms
(cbrt (fma (- y 1.0) z 1.0))
0.0ms
(cbrt (fma (- y 1.0) z 1.0))
1.0ms
(cbrt (fma (- y 1.0) z 1.0))

series343.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(* (* (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))
97.0ms
(cbrt (fma (- y 1.0) z 1.0))
95.0ms
(cbrt (fma (- y 1.0) z 1.0))
98.0ms
(cbrt (fma (- y 1.0) z 1.0))

simplify1.4s

Counts
75 → 75
Iterations

Useful iterations: 3 (294.0ms)

IterNodesCost
01021595
12711519
28211053
32993840
done5001840

prune187.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 4.9b

localize14.0ms

Local error

Found 4 expressions with local error:

5.0b
(cbrt (fma (- y 1.0) z 1.0))
5.0b
(cbrt (fma (- y 1.0) z 1.0))
5.0b
(cbrt (fma (- y 1.0) z 1.0))
5.0b
(cbrt (fma (- y 1.0) z 1.0))

rewrite3.0ms

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:
0.0ms
(cbrt (fma (- y 1.0) z 1.0))
0.0ms
(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))

series394.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(cbrt (fma (- y 1.0) z 1.0))
97.0ms
(cbrt (fma (- y 1.0) z 1.0))
100.0ms
(cbrt (fma (- y 1.0) z 1.0))
99.0ms
(cbrt (fma (- y 1.0) z 1.0))

simplify474.0ms

Counts
64 → 64
Iterations

Useful iterations: done (472.0ms)

IterNodesCost
0611048
1147996
2349928
31174792
done5000756

prune244.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 4.9b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (fma (- y 1.0) z 1.0) x))
4.8b
(* (fma (- y 1.0) z 1.0) x)
4.8b
(* (fma (- y 1.0) z 1.0) x)
4.8b
(* (fma (- y 1.0) z 1.0) x)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×associate-*r* associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×cbrt-prod pow1/3
Counts
4 → 71
Calls
4 calls:
1.0ms
(cbrt (* (fma (- y 1.0) z 1.0) x))
3.0ms
(* (fma (- y 1.0) z 1.0) x)
3.0ms
(* (fma (- y 1.0) z 1.0) x)
3.0ms
(* (fma (- y 1.0) z 1.0) x)

series283.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(cbrt (* (fma (- y 1.0) z 1.0) x))
50.0ms
(* (fma (- y 1.0) z 1.0) x)
48.0ms
(* (fma (- y 1.0) z 1.0) x)
50.0ms
(* (fma (- y 1.0) z 1.0) x)

simplify1.1s

Counts
83 → 83
Iterations

Useful iterations: 3 (258.0ms)

IterNodesCost
01041098
12551065
2761921
32948859
done5000859

prune209.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 4.9b

regimes108.0ms

Accuracy

0% (0.1b remaining)

Error of 3.4b against oracle of 3.2b and baseline of 3.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
188
done88

end0.0ms

sample612.0ms

Algorithm
intervals
Results
410.0ms10179×body80valid