Details

Time bar (total: 10.5s)

sample51.0ms

Algorithm
intervals
Results
25.0ms303×body80valid

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 3 (26.0ms)

IterNodesCost
089
1169
2427
31455
410015
done50005

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize5.0ms

Local error

Found 1 expressions with local error:

4.5b
(/ (* y x) z)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
2×cbrt-undiv div-exp
1×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
12.0ms
(/ (* y x) z)

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(/ (* y x) z)

simplify714.0ms

Counts
26 → 26
Iterations

Useful iterations: done (713.0ms)

IterNodesCost
052198
1125191
2642165
done5001161

prune82.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

4.8b
(/ y (/ z x))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-/r*
6×add-exp-log add-cbrt-cube
5×div-inv
3×cbrt-undiv div-exp associate-/l*
1×pow1 expm1-log1p-u frac-2neg clear-num associate-/r/ log1p-expm1-u add-log-exp
Counts
1 → 72
Calls
1 calls:
14.0ms
(/ y (/ z x))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(/ y (/ z x))

simplify991.0ms

Counts
75 → 75
Iterations

Useful iterations: done (988.0ms)

IterNodesCost
0152892
1377841
21694789
done5001783

prune213.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

4.8b
(* y (/ x z))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv expm1-log1p-u associate-*r/ div-exp pow-prod-down *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
19.0ms
(* y (/ x z))

series23.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(* y (/ x z))

simplify2.6s

Counts
37 → 37
Iterations

Useful iterations: done (2.5s)

IterNodesCost
072289
1182276
2677246
34665246
done5001242

prune109.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
2.1b
(/ (/ (* y x) (* (cbrt z) (cbrt z))) (cbrt z))
2.6b
(/ (* y x) (* (cbrt z) (cbrt z)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
38×times-frac
34×add-exp-log
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
24×cbrt-prod
21×add-cbrt-cube
13×cbrt-undiv div-exp
9×div-inv
8×prod-exp cbrt-unprod
7×associate-/r*
6×associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg pow1/3 clear-num
1×associate-/l/
Counts
4 → 113
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
31.0ms
(/ (/ (* y x) (* (cbrt z) (cbrt z))) (cbrt z))
30.0ms
(/ (* y x) (* (cbrt z) (cbrt z)))

series768.0ms

Counts
4 → 12
Calls
4 calls:
249.0ms
(cbrt z)
285.0ms
(cbrt z)
56.0ms
(/ (/ (* y x) (* (cbrt z) (cbrt z))) (cbrt z))
179.0ms
(/ (* y x) (* (cbrt z) (cbrt z)))

simplify1.5s

Counts
125 → 125
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01611757
14261691
227001206
done50021190

prune404.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes253.0ms

Accuracy

81.5% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 6.4b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02349
12649
done2649

end0.0ms

sample1.2s

Algorithm
intervals
Results
582.0ms9640×body80valid