Details

Time bar (total: 11.7s)

sample33.0ms

Algorithm
intervals
Results
13.0ms320×body80valid
0.0ms2×body1280valid
0.0ms2×body640valid
0.0ms1×body320valid
0.0ms1×body160valid

simplify36.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
089
1198
2348
3508
4608
5618
done618

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma x (+ y z) (* z 5.0))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×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
1 → 10
Calls
1 calls:
0.0ms
(fma x (+ y z) (* z 5.0))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(fma x (+ y z) (* z 5.0))

simplify1.3s

Counts
13 → 13
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
022146
136140
269121
3265121
41668121
done5000121

prune43.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0))))
0.6b
(cbrt (fma x (+ y z) (* z 5.0)))
0.6b
(cbrt (fma x (+ y z) (* z 5.0)))
0.6b
(cbrt (fma x (+ y z) (* z 5.0)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
12.0ms
(* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0))))
1.0ms
(cbrt (fma x (+ y z) (* z 5.0)))
1.0ms
(cbrt (fma x (+ y z) (* z 5.0)))
1.0ms
(cbrt (fma x (+ y z) (* z 5.0)))

series1.0s

Counts
4 → 12
Calls
4 calls:
368.0ms
(* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0))))
231.0ms
(cbrt (fma x (+ y z) (* z 5.0)))
224.0ms
(cbrt (fma x (+ y z) (* z 5.0)))
225.0ms
(cbrt (fma x (+ y z) (* z 5.0)))

simplify1.7s

Counts
93 → 93
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01081792
12451664
26211503
316951268
done50001229

prune460.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma x (+ y z) (* z 5.0))
0.1b
(sqrt (fma x (+ y z) (* z 5.0)))
0.1b
(sqrt (fma x (+ y z) (* z 5.0)))
0.3b
(* (sqrt (fma x (+ y z) (* z 5.0))) (sqrt (fma x (+ y z) (* z 5.0))))

rewrite38.0ms

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 x (+ y z) (* z 5.0))
3.0ms
(sqrt (fma x (+ y z) (* z 5.0)))
3.0ms
(sqrt (fma x (+ y z) (* z 5.0)))
27.0ms
(* (sqrt (fma x (+ y z) (* z 5.0))) (sqrt (fma x (+ y z) (* z 5.0))))

series465.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(fma x (+ y z) (* z 5.0))
199.0ms
(sqrt (fma x (+ y z) (* z 5.0)))
180.0ms
(sqrt (fma x (+ y z) (* z 5.0)))
51.0ms
(* (sqrt (fma x (+ y z) (* z 5.0))) (sqrt (fma x (+ y z) (* z 5.0))))

simplify1.6s

Counts
103 → 103
Iterations

Useful iterations: done (1.6s)

IterNodesCost
0941850
11911271
24891139
315631082
done50021046

prune392.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (fabs (cbrt (fma x (+ y z) (* z 5.0)))) (sqrt (cbrt (fma x (+ y z) (* z 5.0)))))
0.3b
(* (* (fabs (cbrt (fma x (+ y z) (* z 5.0)))) (sqrt (cbrt (fma x (+ y z) (* z 5.0))))) (sqrt (fma x (+ y z) (* z 5.0))))
0.6b
(cbrt (fma x (+ y z) (* z 5.0)))
0.6b
(cbrt (fma x (+ y z) (* z 5.0)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×associate-*r*
12×add-cube-cbrt *-un-lft-identity
11×pow1 add-exp-log sqrt-prod add-cbrt-cube
10×cbrt-prod
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative
Counts
4 → 77
Calls
4 calls:
15.0ms
(* (fabs (cbrt (fma x (+ y z) (* z 5.0)))) (sqrt (cbrt (fma x (+ y z) (* z 5.0)))))
58.0ms
(* (* (fabs (cbrt (fma x (+ y z) (* z 5.0)))) (sqrt (cbrt (fma x (+ y z) (* z 5.0))))) (sqrt (fma x (+ y z) (* z 5.0))))
2.0ms
(cbrt (fma x (+ y z) (* z 5.0)))
1.0ms
(cbrt (fma x (+ y z) (* z 5.0)))

series1.3s

Counts
4 → 12
Calls
4 calls:
338.0ms
(* (fabs (cbrt (fma x (+ y z) (* z 5.0)))) (sqrt (cbrt (fma x (+ y z) (* z 5.0)))))
488.0ms
(* (* (fabs (cbrt (fma x (+ y z) (* z 5.0)))) (sqrt (cbrt (fma x (+ y z) (* z 5.0))))) (sqrt (fma x (+ y z) (* z 5.0))))
246.0ms
(cbrt (fma x (+ y z) (* z 5.0)))
245.0ms
(cbrt (fma x (+ y z) (* z 5.0)))

simplify1.4s

Counts
89 → 89
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01952491
14782323
214812034
done50011950

prune521.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes144.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
198
done98

end0.0ms

sample1.0s

Algorithm
intervals
Results
530.0ms9854×body80valid
22.0ms115×body1280valid
15.0ms111×body640valid
6.0ms52×body320valid
2.0ms31×body160valid