Details

Time bar (total: 6.7m)

sample79.0ms

Algorithm
intervals
Results
32.0ms393×body80valid

simplify2.6s

Counts
1 → 1
Iterations

Useful iterations: 4 (108.0ms)

IterNodesCost
01717
13316
27316
314716
440515
5137315
done500015

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (/ a 4.0) (- b) c)
0.0b
(fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c)))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
2×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
2 → 20
Calls
2 calls:
0.0ms
(fma (/ a 4.0) (- b) c)
1.0ms
(fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c)))

series332.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(fma (/ a 4.0) (- b) c)
267.0ms
(fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c)))

simplify2.5s

Counts
26 → 26
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
046351
174349
2170305
3547305
43141305
done5000305

prune299.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c)))
0.0b
(sqrt (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c))))
0.0b
(sqrt (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c))))
0.3b
(* (sqrt (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c)))) (sqrt (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c)))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod fma-udef
Counts
4 → 91
Calls
4 calls:
1.0ms
(fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c)))
3.0ms
(sqrt (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c))))
3.0ms
(sqrt (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c))))
28.0ms
(* (sqrt (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c)))) (sqrt (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c)))))

series5.9s

Counts
4 → 12
Calls
4 calls:
292.0ms
(fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c)))
2.6s
(sqrt (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c))))
2.6s
(sqrt (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c))))
285.0ms
(* (sqrt (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c)))) (sqrt (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c)))))

simplify779.0ms

Counts
103 → 103
Iterations

Useful iterations: done (772.0ms)

IterNodesCost
01103018
12382136
28771916
done50001825

prune949.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (/ a 4.0) (- b) c)
0.0b
(fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c)))
0.1b
(pow (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c))) 3)
44.2b
(cbrt (pow (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c))) 3))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×unpow-prod-down cube-prod
5×pow1 add-exp-log add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow
2×cube-mult unpow3 fma-udef sqr-pow
1×pow-to-exp pow-pow pow1/3 pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
4 → 68
Calls
4 calls:
1.0ms
(fma (/ a 4.0) (- b) c)
1.0ms
(fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c)))
6.0ms
(pow (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c))) 3)
6.0ms
(cbrt (pow (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c))) 3))

series6.2m

Counts
4 → 12
Calls
4 calls:
82.0ms
(fma (/ a 4.0) (- b) c)
298.0ms
(fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c)))
6.2m
(pow (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c))) 3)
314.0ms
(cbrt (pow (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c))) 3))

simplify2.1s

Counts
80 → 80
Iterations

Useful iterations: 2 (284.0ms)

IterNodesCost
01091795
12621583
213131385
done50001385

prune839.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize92.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (pow (fma t (/ z 16.0) (fma x y (fma (/ a 4.0) (- b) c))) 2)) (cbrt (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c)))))
0.5b
(cbrt (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c))))
36.3b
(cbrt (pow (fma t (/ z 16.0) (fma x y (fma (/ a 4.0) (- b) c))) 2))
44.2b
(cbrt (pow (* (cbrt (pow (fma t (/ z 16.0) (fma x y (fma (/ a 4.0) (- b) c))) 2)) (cbrt (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c))))) 3))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
29×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
11×associate-*l*
10×unswap-sqr
9×unpow-prod-down
6×pow1 add-exp-log associate-*r*
5×pow1/3 sqr-pow
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u unpow2 add-log-exp
2×pow-prod-down
1×cube-mult unpow3 cube-prod prod-exp *-commutative rem-cbrt-cube cbrt-unprod
Counts
4 → 91
Calls
4 calls:
49.0ms
(* (cbrt (pow (fma t (/ z 16.0) (fma x y (fma (/ a 4.0) (- b) c))) 2)) (cbrt (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c)))))
2.0ms
(cbrt (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c))))
4.0ms
(cbrt (pow (fma t (/ z 16.0) (fma x y (fma (/ a 4.0) (- b) c))) 2))
8.0ms
(cbrt (pow (* (cbrt (pow (fma t (/ z 16.0) (fma x y (fma (/ a 4.0) (- b) c))) 2)) (cbrt (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c))))) 3))

series2.9s

Counts
4 → 12
Calls
4 calls:
971.0ms
(* (cbrt (pow (fma t (/ z 16.0) (fma x y (fma (/ a 4.0) (- b) c))) 2)) (cbrt (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c)))))
292.0ms
(cbrt (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c))))
575.0ms
(cbrt (pow (fma t (/ z 16.0) (fma x y (fma (/ a 4.0) (- b) c))) 2))
1.0s
(cbrt (pow (* (cbrt (pow (fma t (/ z 16.0) (fma x y (fma (/ a 4.0) (- b) c))) 2)) (cbrt (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c))))) 3))

simplify1.0s

Counts
103 → 103
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01834025
13913627
212793571
done50012823

prune1.3s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes893.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01515
done1515

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.9s12001×body80valid