Details

Time bar (total: 10.0s)

sample30.0ms

Algorithm
intervals
Results
11.0ms312×body80valid

simplify17.0ms

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: 7.6b

localize5.0ms

Local error

Found 1 expressions with local error:

7.3b
(/ (* x y) z)

rewrite12.0ms

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:
11.0ms
(/ (* x y) z)

series35.0ms

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

simplify864.0ms

Counts
26 → 26
Iterations

Useful iterations: done (863.0ms)

IterNodesCost
050198
1120191
2633167
done5001161

prune108.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)
4.6b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×add-cube-cbrt *-un-lft-identity associate-*r*
20×cbrt-prod
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 100
Calls
4 calls:
2.0ms
(cbrt z)
2.0ms
(cbrt z)
2.0ms
(cbrt z)
69.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series1.1s

Counts
4 → 12
Calls
4 calls:
333.0ms
(cbrt z)
327.0ms
(cbrt z)
353.0ms
(cbrt z)
82.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify1.9s

Counts
112 → 112
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01441257
14561207
23004913
done5000847

prune467.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

5.9b
(* x (/ y z))

rewrite41.0ms

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:
30.0ms
(* x (/ y z))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(* x (/ y z))

simplify2.7s

Counts
37 → 37
Iterations

Useful iterations: done (2.7s)

IterNodesCost
071289
1180276
2675246
34656246
done5001242

prune85.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

6.0b
(/ 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*
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:
10.0ms
(/ x (/ z y))

series35.0ms

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

simplify1.1s

Counts
75 → 75
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0152892
1376841
21698789
done5001783

prune235.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes279.0ms

Accuracy

92.9% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 6.3b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02149
12449
done2449

end0.0ms

sample808.0ms

Algorithm
intervals
Results
322.0ms9607×body80valid