Details

Time bar (total: 10.1s)

sample19.0ms

Algorithm
intervals
Results
7.0ms337×body80valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (5.0ms)

IterNodesCost
067
197
2117
3136
4146
done146

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (/ y z) y x)

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 (/ y z) y x)

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(fma (/ y z) y x)

simplify2.5s

Counts
13 → 13
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
019110
127107
26095
316995
453795
5207495
done500195

prune40.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

10.9b
(/ (pow y 2) z)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×unpow-prod-down
8×associate-/l*
6×add-exp-log
4×unpow2 sqr-pow
3×div-exp associate-/r* add-cbrt-cube
1×pow1 cbrt-undiv expm1-log1p-u pow-to-exp frac-2neg pow-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 51
Calls
1 calls:
10.0ms
(/ (pow y 2) z)

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(/ (pow y 2) z)

simplify937.0ms

Counts
54 → 54
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
093541
1153493
2345422
31139422
done5000422

prune121.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (fabs y) (sqrt z))
0.1b
(/ (fabs y) (sqrt z))
0.1b
(* (/ (fabs y) (sqrt z)) (/ (fabs y) (sqrt z)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
131×add-sqr-sqrt
89×add-cube-cbrt *-un-lft-identity
72×sqrt-prod
28×swap-sqr
22×associate-*r* associate-*l*
19×add-exp-log add-cbrt-cube
12×associate-/r*
10×pow1
9×unswap-sqr
6×cbrt-undiv div-exp div-inv associate-/l*
4×prod-exp cbrt-unprod
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up
Counts
3 → 189
Calls
3 calls:
7.0ms
(/ (fabs y) (sqrt z))
10.0ms
(/ (fabs y) (sqrt z))
38.0ms
(* (/ (fabs y) (sqrt z)) (/ (fabs y) (sqrt z)))

series129.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ (fabs y) (sqrt z))
49.0ms
(/ (fabs y) (sqrt z))
37.0ms
(* (/ (fabs y) (sqrt z)) (/ (fabs y) (sqrt z)))

simplify1.3s

Counts
198 → 198
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01943108
15592790
218732404
done50002304

prune485.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ (sqrt (fabs y)) (cbrt (sqrt z))) (cbrt (sqrt z)))
0.3b
(cbrt (sqrt z))
0.3b
(cbrt (sqrt z))
0.3b
(cbrt (sqrt z))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
1062×times-frac
732×cbrt-prod
636×sqrt-prod
557×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
58×associate-/l*
11×div-inv
9×add-exp-log associate-/r*
6×add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×frac-2neg clear-num associate-/l/
Counts
4 → 654
Calls
4 calls:
40.0ms
(/ (/ (sqrt (fabs y)) (cbrt (sqrt z))) (cbrt (sqrt z)))
2.0ms
(cbrt (sqrt z))
2.0ms
(cbrt (sqrt z))
2.0ms
(cbrt (sqrt z))

series628.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(/ (/ (sqrt (fabs y)) (cbrt (sqrt z))) (cbrt (sqrt z)))
159.0ms
(cbrt (sqrt z))
172.0ms
(cbrt (sqrt z))
179.0ms
(cbrt (sqrt z))

simplify1.8s

Counts
666 → 666
Iterations

Useful iterations: done (1.5s)

IterNodesCost
062816504
1138014699
2231014538
done500114365

prune1.2s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes70.0ms

Accuracy

0% (0.1b 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
056
done56

end0.0ms

sample533.0ms

Algorithm
intervals
Results
222.0ms10755×body80valid