Details

Time bar (total: 27.4s)

sample31.0ms

Algorithm
intervals
Results
15.0ms296×body80valid

simplify5.5s

Counts
1 → 1
Iterations

Useful iterations: 3 (27.0ms)

IterNodesCost
089
1169
2427
3995
43865
517055
done50015

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.9b

localize19.0ms

Local error

Found 1 expressions with local error:

5.7b
(* (/ y z) x)

rewrite19.0ms

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:
18.0ms
(* (/ y z) x)

series34.0ms

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

simplify6.6s

Counts
37 → 37
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
070273
1155268
2427236
31211236
43623236
done5000236

prune172.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

4.5b
(* y (/ x z))

rewrite21.0ms

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:
19.0ms
(* y (/ x z))

series42.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(* y (/ x z))

simplify4.5s

Counts
37 → 37
Iterations

Useful iterations: 2 (108.0ms)

IterNodesCost
072289
1165272
2450242
31179242
43001242
done5000242

prune154.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

1.0b
(* y (* (cbrt (/ x z)) (cbrt (/ x z))))
10.4b
(cbrt (/ x z))
10.4b
(cbrt (/ x z))
10.4b
(cbrt (/ x z))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×add-sqr-sqrt times-frac
26×add-cube-cbrt *-un-lft-identity
9×pow1 add-exp-log
7×cbrt-div add-cbrt-cube
4×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod div-inv
1×frac-times associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 96
Calls
4 calls:
70.0ms
(* y (* (cbrt (/ x z)) (cbrt (/ x z))))
4.0ms
(cbrt (/ x z))
3.0ms
(cbrt (/ x z))
3.0ms
(cbrt (/ x z))

series467.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(* y (* (cbrt (/ x z)) (cbrt (/ x z))))
114.0ms
(cbrt (/ x z))
96.0ms
(cbrt (/ x z))
113.0ms
(cbrt (/ x z))

simplify4.1s

Counts
108 → 108
Iterations

Useful iterations: done (4.1s)

IterNodesCost
01311112
12431065
2540978
31269953
42971847
done5000808

prune499.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
1.4b
(* (/ y (cbrt z)) x)
3.7b
(* (/ 1 (* (cbrt z) (cbrt z))) (* (/ y (cbrt z)) x))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
87×add-exp-log
46×prod-exp
35×add-cbrt-cube
30×add-sqr-sqrt
29×associate-*l*
23×times-frac
22×add-cube-cbrt *-un-lft-identity
20×div-exp cbrt-unprod
16×cbrt-prod
11×pow1
10×cbrt-undiv
6×rec-exp 1-exp
4×expm1-log1p-u associate-*r* pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×frac-times associate-*r/
Counts
4 → 123
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
23.0ms
(* (/ y (cbrt z)) x)
97.0ms
(* (/ 1 (* (cbrt z) (cbrt z))) (* (/ y (cbrt z)) x))

series853.0ms

Counts
4 → 12
Calls
4 calls:
293.0ms
(cbrt z)
306.0ms
(cbrt z)
191.0ms
(* (/ y (cbrt z)) x)
62.0ms
(* (/ 1 (* (cbrt z) (cbrt z))) (* (/ y (cbrt z)) x))

simplify2.2s

Counts
135 → 135
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01771599
14181419
21539991
done5001826

prune491.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0b

regimes358.0ms

Accuracy

84.5% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 6.4b

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02149
12449
done2449

end0.0ms

sample1.0s

Algorithm
intervals
Results
538.0ms9601×body80valid