Details

Time bar (total: 14.8s)

sample20.0ms

Algorithm
intervals
Results
7.0ms291×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
185
2125
3155
4165
done165

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize5.0ms

Local error

Found 1 expressions with local error:

4.4b
(/ (* 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)

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(/ (* x y) z)

simplify3.6s

Counts
26 → 26
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
050198
1112191
2390161
31765161
done5000161

prune61.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

4.4b
(* (* x y) (/ 1 z))

rewrite31.0ms

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:
29.0ms
(* (* x y) (/ 1 z))

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(* (* x y) (/ 1 z))

simplify3.7s

Counts
43 → 43
Iterations

Useful iterations: 2 (186.0ms)

IterNodesCost
085427
1220318
2710250
32518250
done5001250

prune71.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

4.4b
(/ (* x y) z)
13.0b
(cbrt (/ (* x y) z))
13.0b
(cbrt (/ (* x y) z))
13.0b
(cbrt (/ (* x y) z))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
9×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×cbrt-div pow1/3 associate-/r*
2×cbrt-undiv div-exp
1×frac-2neg prod-exp clear-num cbrt-unprod associate-/l*
Counts
4 → 77
Calls
4 calls:
13.0ms
(/ (* x y) z)
6.0ms
(cbrt (/ (* x y) z))
7.0ms
(cbrt (/ (* x y) z))
12.0ms
(cbrt (/ (* x y) z))

series359.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ (* x y) z)
111.0ms
(cbrt (/ (* x y) z))
91.0ms
(cbrt (/ (* x y) z))
125.0ms
(cbrt (/ (* x y) z))

simplify2.4s

Counts
89 → 89
Iterations

Useful iterations: done (2.4s)

IterNodesCost
094858
1184827
2563749
32328716
done5000704

prune369.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(* (cbrt z) (cbrt z))
0.9b
(* (/ (* y x) (* (cbrt z) (cbrt z))) (/ 1 (cbrt z)))
3.7b
(/ (* y x) (* (cbrt z) (cbrt z)))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
95×add-exp-log
47×add-sqr-sqrt
41×prod-exp
40×add-cbrt-cube
30×cbrt-prod div-exp
29×*-un-lft-identity
28×associate-*r*
27×add-cube-cbrt
24×times-frac
23×cbrt-unprod
17×cbrt-undiv
13×pow1
11×associate-*l*
9×unswap-sqr
7×pow1/3
6×swap-sqr
5×rec-exp 1-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down div-inv
2×pow-sqr *-commutative pow-prod-up
1×pow2 frac-times frac-2neg pow-plus associate-*r/ associate-*l/ clear-num associate-/r* un-div-inv associate-/l*
Counts
4 → 155
Calls
4 calls:
1.0ms
(cbrt z)
13.0ms
(* (cbrt z) (cbrt z))
71.0ms
(* (/ (* y x) (* (cbrt z) (cbrt z))) (/ 1 (cbrt z)))
30.0ms
(/ (* y x) (* (cbrt z) (cbrt z)))

series841.0ms

Counts
4 → 12
Calls
4 calls:
291.0ms
(cbrt z)
288.0ms
(* (cbrt z) (cbrt z))
78.0ms
(* (/ (* y x) (* (cbrt z) (cbrt z))) (/ 1 (cbrt z)))
184.0ms
(/ (* y x) (* (cbrt z) (cbrt z)))

simplify1.6s

Counts
167 → 167
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02172294
15611717
223391359
done50001204

prune490.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes301.0ms

Accuracy

93.8% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 6.2b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02149
12349
done2349

end0.0ms

sample701.0ms

Algorithm
intervals
Results
303.0ms9638×body80valid