Details

Time bar (total: 11.4s)

sample31.0ms

Algorithm
intervals
Results
12.0ms318×body80valid
0.0ms4×body320valid
0.0ms3×body1280valid
0.0ms2×body640valid

simplify47.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
089
1198
2348
3508
4608
5618
done618

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

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))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(fma x (+ y z) (* z 5.0))

simplify1.1s

Counts
13 → 13
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
022146
136140
269121
3265121
41668121
done5000121

prune42.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

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))))

rewrite33.0ms

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:
0.0ms
(fma x (+ y z) (* z 5.0))
2.0ms
(sqrt (fma x (+ y z) (* z 5.0)))
3.0ms
(sqrt (fma x (+ y z) (* z 5.0)))
26.0ms
(* (sqrt (fma x (+ y z) (* z 5.0))) (sqrt (fma x (+ y z) (* z 5.0))))

series387.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(fma x (+ y z) (* z 5.0))
140.0ms
(sqrt (fma x (+ y z) (* z 5.0)))
164.0ms
(sqrt (fma x (+ y z) (* z 5.0)))
38.0ms
(* (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

prune407.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
76×sqrt-prod
54×add-sqr-sqrt
37×pow1 sqrt-pow1
21×pow1/2
20×add-cube-cbrt *-un-lft-identity
15×swap-sqr associate-*r*
12×pow-prod-down
11×add-exp-log add-cbrt-cube unswap-sqr
10×associate-*l*
9×pow-prod-up
5×pow-sqr
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×sqrt-unprod
2×rem-sqrt-square *-commutative
1×pow2 pow-plus rem-square-sqrt
Counts
4 → 135
Calls
4 calls:
2.0ms
(sqrt (fma x (+ y z) (* 5.0 z)))
2.0ms
(sqrt (fma x (+ y z) (* z 5.0)))
85.0ms
(* (* (sqrt (sqrt (fma x (+ y z) (* 5.0 z)))) (sqrt (sqrt (fma x (+ y z) (* 5.0 z))))) (sqrt (fma x (+ y z) (* z 5.0))))
43.0ms
(* (sqrt (sqrt (fma x (+ y z) (* 5.0 z)))) (sqrt (sqrt (fma x (+ y z) (* 5.0 z)))))

series501.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(sqrt (fma x (+ y z) (* 5.0 z)))
148.0ms
(sqrt (fma x (+ y z) (* z 5.0)))
35.0ms
(* (* (sqrt (sqrt (fma x (+ y z) (* 5.0 z)))) (sqrt (sqrt (fma x (+ y z) (* 5.0 z))))) (sqrt (fma x (+ y z) (* z 5.0))))
156.0ms
(* (sqrt (sqrt (fma x (+ y z) (* 5.0 z)))) (sqrt (sqrt (fma x (+ y z) (* 5.0 z)))))

simplify2.4s

Counts
147 → 147
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01503735
12961991
27651794
325251716
done50021657

prune433.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity associate-*r*
11×pow1 add-exp-log add-cbrt-cube
10×sqrt-prod
9×cbrt-prod
7×associate-*l*
4×expm1-log1p-u pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×pow1/3 *-commutative unswap-sqr
Counts
4 → 76
Calls
4 calls:
19.0ms
(* (sqrt (fma x (+ y z) (* 5.0 z))) (fabs (cbrt (fma x (+ y z) (* z 5.0)))))
52.0ms
(* (* (sqrt (fma x (+ y z) (* 5.0 z))) (fabs (cbrt (fma x (+ y z) (* z 5.0))))) (sqrt (cbrt (fma x (+ y z) (* z 5.0)))))
2.0ms
(cbrt (fma x (+ y z) (* z 5.0)))
2.0ms
(cbrt (fma x (+ y z) (* z 5.0)))

series1.1s

Counts
4 → 12
Calls
4 calls:
150.0ms
(* (sqrt (fma x (+ y z) (* 5.0 z))) (fabs (cbrt (fma x (+ y z) (* z 5.0)))))
416.0ms
(* (* (sqrt (fma x (+ y z) (* 5.0 z))) (fabs (cbrt (fma x (+ y z) (* z 5.0))))) (sqrt (cbrt (fma x (+ y z) (* z 5.0)))))
229.0ms
(cbrt (fma x (+ y z) (* z 5.0)))
255.0ms
(cbrt (fma x (+ y z) (* z 5.0)))

simplify1.3s

Counts
88 → 88
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01962467
14922309
214782028
done50001955

prune436.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes87.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
198
done98

end0.0ms

sample1.2s

Algorithm
intervals
Results
580.0ms9804×body80valid
51.0ms113×body1280valid
22.0ms115×body640valid
10.0ms75×body320valid
3.0ms29×body160valid