Details

Time bar (total: 10.2s)

sample23.0ms

Algorithm
intervals
Results
9.0ms344×body80valid

simplify12.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (6.0ms)

IterNodesCost
067
197
2117
3136
4146
done146

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

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:
1.0ms
(fma (/ y z) y x)

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(fma (/ y z) y x)

simplify2.8s

Counts
13 → 13
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
019110
128110
27895
330495
4263095
done500095

prune48.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* y (/ y z)) x)
0.2b
(* y (/ y z))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×associate-*l*
2×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative fma-def flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv
Counts
2 → 48
Calls
2 calls:
14.0ms
(+ (* y (/ y z)) x)
19.0ms
(* y (/ y z))

series57.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(+ (* y (/ y z)) x)
25.0ms
(* y (/ y z))

simplify537.0ms

Counts
54 → 54
Iterations

Useful iterations: done (536.0ms)

IterNodesCost
090471
1248430
21037386
done5000382

prune114.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite22.0ms

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:
16.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.1s

Counts
4 → 12
Calls
4 calls:
308.0ms
(* (cbrt y) (cbrt y))
284.0ms
(cbrt y)
273.0ms
(cbrt y)
253.0ms
(cbrt y)

simplify1.2s

Counts
93 → 93
Iterations

Useful iterations: done (1.2s)

IterNodesCost
065554
1143443
2719423
done5000409

prune290.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)

rewrite24.0ms

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:
17.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.1s

Counts
4 → 12
Calls
4 calls:
280.0ms
(* (cbrt z) (cbrt z))
263.0ms
(cbrt z)
225.0ms
(cbrt z)
287.0ms
(cbrt z)

simplify1.4s

Counts
93 → 93
Iterations

Useful iterations: done (1.4s)

IterNodesCost
065554
1143443
2719423
done5000409

prune285.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes166.0ms

Accuracy

0% (0.1b 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
067
187
done87

end0.0ms

sample882.0ms

Algorithm
intervals
Results
395.0ms10667×body80valid