Details

Time bar (total: 17.1s)

sample33.0ms

Algorithm
intervals
Results
12.0ms308×body80valid

simplify18.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
185
2125
3155
4165
done165

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize9.0ms

Local error

Found 1 expressions with local error:

7.6b
(/ (* x y) z)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
cbrt-undiv div-exp
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
(/ (* x y) z)

series38.0ms

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

simplify3.8s

Counts
26 → 26
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
050198
1112191
2390161
31765161
done5000161

prune80.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

5.1b
(* x (/ y z))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
add-cube-cbrt *-un-lft-identity
add-exp-log add-cbrt-cube
pow1 associate-*l*
prod-exp cbrt-unprod unswap-sqr
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:
17.0ms
(* x (/ y z))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(* x (/ y z))

simplify4.8s

Counts
37 → 37
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
071289
1164272
2447242
31217242
43292242
done5000242

prune125.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

5.3b
(/ x (/ z y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-/r*
add-exp-log add-cbrt-cube
div-inv
cbrt-undiv div-exp associate-/l*
pow1 expm1-log1p-u frac-2neg clear-num associate-/r/ log1p-expm1-u add-log-exp
Counts
1 → 72
Calls
1 calls:
10.0ms
(/ x (/ z y))

series45.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(/ x (/ z y))

simplify2.3s

Counts
75 → 75
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
0152892
1313825
2947785
32760783
done5000783

prune265.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
367×times-frac
157×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
81×cbrt-prod
32×div-inv
25×add-exp-log
22×associate-/r*
18×add-cbrt-cube
13×cbrt-undiv div-exp
associate-/l*
pow1 expm1-log1p-u log1p-expm1-u add-log-exp
pow1/3
prod-exp cbrt-unprod
frac-2neg clear-num associate-/r/ associate-/l/
Counts
4 → 248
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
35.0ms
(/ (/ x (* (cbrt z) (cbrt z))) (/ (cbrt z) y))

series1.0s

Counts
4 → 12
Calls
4 calls:
292.0ms
(cbrt z)
313.0ms
(cbrt z)
308.0ms
(cbrt z)
104.0ms
(/ (/ x (* (cbrt z) (cbrt z))) (/ (cbrt z) y))

simplify2.2s

Counts
260 → 260
Iterations

Useful iterations: done (2.2s)

IterNodesCost
04025205
110734934
236334152
done50004004

prune1.1s

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes302.0ms

Accuracy

69.7% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 5.5b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02664
12864
done2864

end0.0ms

sample857.0ms

Algorithm
intervals
Results
381.0ms9530×body80valid