Details

Time bar (total: 29.4s)

sample48.0ms

Algorithm
intervals
Results
27.0ms301×body80valid

simplify5.8s

Counts
1 → 1
Iterations

Useful iterations: 3 (27.0ms)

IterNodesCost
089
1169
2427
3995
43865
517055
done50015

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.6b

localize9.0ms

Local error

Found 1 expressions with local error:

5.4b
(* (/ y z) x)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*l*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv expm1-log1p-u div-exp pow-prod-down associate-*l/ *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
33.0ms
(* (/ y z) x)

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(* (/ y z) x)

simplify7.1s

Counts
37 → 37
Iterations

Useful iterations: 2 (148.0ms)

IterNodesCost
070273
1155268
2427236
31211236
43623236
done5000236

prune125.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

4.4b
(* y (/ x z))

rewrite23.0ms

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:
22.0ms
(* y (/ x z))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(* y (/ x z))

simplify4.4s

Counts
37 → 37
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
072289
1165272
2450242
31179242
43001242
done5000242

prune129.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (* (cbrt (/ y z)) (cbrt (/ y z))) (* (cbrt (/ y z)) x))
12.4b
(cbrt (/ y z))
12.4b
(cbrt (/ y z))
12.4b
(cbrt (/ y z))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×times-frac
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×pow1 add-exp-log
15×cbrt-div
10×add-cbrt-cube
9×associate-*l/
8×pow-prod-down prod-exp cbrt-unprod
5×frac-times
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r/ div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 103
Calls
4 calls:
83.0ms
(* (* (cbrt (/ y z)) (cbrt (/ y z))) (* (cbrt (/ y z)) x))
3.0ms
(cbrt (/ y z))
3.0ms
(cbrt (/ y z))
8.0ms
(cbrt (/ y z))

series346.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (* (cbrt (/ y z)) (cbrt (/ y z))) (* (cbrt (/ y z)) x))
83.0ms
(cbrt (/ y z))
121.0ms
(cbrt (/ y z))
116.0ms
(cbrt (/ y z))

simplify6.3s

Counts
115 → 115
Iterations

Useful iterations: 4 (4.4s)

IterNodesCost
01251365
12611317
27391035
31856921
44979891
done5000891

prune522.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.8b
(* (* (cbrt (/ y z)) (cbrt (/ y z))) (* (* (cbrt y) (cbrt (/ 1 z))) x))
12.4b
(cbrt (/ y z))
12.4b
(cbrt (/ y z))

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
29×cbrt-prod
25×pow1 add-exp-log
19×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×times-frac
15×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
14×cbrt-div
9×associate-*l/
7×associate-*r/
5×frac-times
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 98
Calls
4 calls:
1.0ms
(cbrt y)
155.0ms
(* (* (cbrt (/ y z)) (cbrt (/ y z))) (* (* (cbrt y) (cbrt (/ 1 z))) x))
3.0ms
(cbrt (/ y z))
9.0ms
(cbrt (/ y z))

series597.0ms

Counts
4 → 12
Calls
4 calls:
297.0ms
(cbrt y)
106.0ms
(* (* (cbrt (/ y z)) (cbrt (/ y z))) (* (* (cbrt y) (cbrt (/ 1 z))) x))
111.0ms
(cbrt (/ y z))
82.0ms
(cbrt (/ y z))

simplify1.7s

Counts
110 → 110
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01611484
13621427
212601178
done50001127

prune460.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes345.0ms

Accuracy

87.8% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 6.1b

bsearch2.0ms

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02351
12849
done2849

end0.0ms

sample916.0ms

Algorithm
intervals
Results
559.0ms9542×body80valid