Details

Time bar (total: 12.1s)

sample14.0ms

Algorithm
intervals
Results
5.0ms306×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
055
185
2125
3155
4165
done165

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize4.0ms

Local error

Found 1 expressions with local error:

5.6b
(/ (* x y) z)

rewrite4.0ms

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:
3.0ms
(/ (* x y) z)

series23.0ms

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

simplify2.3s

Counts
26 → 26
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
050198
1113191
2385161
31802161
done5000161

prune67.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

5.7b
(* (* x y) (/ 1 z))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log
13×associate-*r* add-cbrt-cube
12×prod-exp
9×times-frac
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow1 cbrt-unprod
4×div-exp
3×pow-prod-down
2×cbrt-undiv rec-exp 1-exp
1×expm1-log1p-u associate-*r/ associate-*l* un-div-inv *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 40
Calls
1 calls:
11.0ms
(* (* x y) (/ 1 z))

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(* (* x y) (/ 1 z))

simplify3.1s

Counts
43 → 43
Iterations

Useful iterations: 2 (149.0ms)

IterNodesCost
085427
1245336
2823250
33083250
done5000250

prune71.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

6.2b
(* x (/ y z))

rewrite9.0ms

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:
8.0ms
(* x (/ y z))

series21.0ms

Counts
1 → 3
Calls
1 calls:
21.0ms
(* x (/ y z))

simplify4.0s

Counts
37 → 37
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
071289
1168272
2449242
31366242
43721242
done5000242

prune74.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.5b
(cbrt y)
5.4b
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×associate-*r*
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod times-frac add-cbrt-cube
13×pow1
12×prod-exp cbrt-unprod
6×pow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×associate-*r/ associate-*l* *-commutative div-inv
Counts
4 → 88
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)
50.0ms
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

series579.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt y)
176.0ms
(cbrt y)
182.0ms
(cbrt y)
40.0ms
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

simplify897.0ms

Counts
100 → 100
Iterations

Useful iterations: 2 (272.0ms)

IterNodesCost
01241035
1362985
21679699
done5000699

prune249.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes228.0ms

Accuracy

75.1% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 6.5b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02149
12349
done2349

end0.0ms

sample357.0ms

Algorithm
intervals
Results
171.0ms9518×body80valid