Details

Time bar (total: 28.7s)

sample44.0ms

Algorithm
intervals
Results
23.0ms301×body80valid

simplify6.2s

Counts
1 → 1
Iterations

Useful iterations: 3 (25.0ms)

IterNodesCost
089
1169
2427
3995
43865
517055
done50015

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.6b

localize10.0ms

Local error

Found 1 expressions with local error:

5.4b
(* (/ y z) x)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*l*
10×times-frac
add-cube-cbrt *-un-lft-identity
add-exp-log add-cbrt-cube
pow1 associate-*r*
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
41.0ms
(* (/ y z) x)

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(* (/ y z) x)

simplify6.7s

Counts
35 → 35
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
068261
1153256
2423224
31176224
43630224
done5000224

prune130.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

4.4b
(* y (/ x z))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
add-cube-cbrt *-un-lft-identity
add-exp-log add-cbrt-cube
pow1 associate-*l*
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
23.0ms
(* y (/ x z))

series21.0ms

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

simplify4.2s

Counts
35 → 35
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
070277
1163260
2447230
31167230
42967230
done5000230

prune93.0ms

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))

rewrite87.0ms

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
associate-*l/
pow-prod-down prod-exp cbrt-unprod
frac-times
add-log-exp
pow1/3 associate-*r/ div-inv
associate-*r* associate-*l* *-commutative
Counts
4 → 95
Calls
4 calls:
77.0ms
(* (* (cbrt (/ y z)) (cbrt (/ y z))) (* (cbrt (/ y z)) x))
2.0ms
(cbrt (/ y z))
2.0ms
(cbrt (/ y z))
2.0ms
(cbrt (/ y z))

series337.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (* (cbrt (/ y z)) (cbrt (/ y z))) (* (cbrt (/ y z)) x))
119.0ms
(cbrt (/ y z))
92.0ms
(cbrt (/ y z))
87.0ms
(cbrt (/ y z))

simplify6.2s

Counts
107 → 107
Iterations

Useful iterations: 4 (4.2s)

IterNodesCost
01211301
12571253
2728987
31846879
44940849
done5000849

prune378.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize20.0ms

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))

rewrite184.0ms

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
associate-*l/
associate-*r/
frac-times
add-log-exp
pow1/3
div-inv
associate-*r* associate-*l* *-commutative
Counts
4 → 90
Calls
4 calls:
1.0ms
(cbrt y)
173.0ms
(* (* (cbrt (/ y z)) (cbrt (/ y z))) (* (* (cbrt y) (cbrt (/ 1 z))) x))
2.0ms
(cbrt (/ y z))
3.0ms
(cbrt (/ y z))

series603.0ms

Counts
4 → 12
Calls
4 calls:
299.0ms
(cbrt y)
117.0ms
(* (* (cbrt (/ y z)) (cbrt (/ y z))) (* (* (cbrt y) (cbrt (/ 1 z))) x))
91.0ms
(cbrt (/ y z))
96.0ms
(cbrt (/ y z))

simplify1.6s

Counts
102 → 102
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01551418
13571361
212561119
done50001068

prune336.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes253.0ms

Accuracy

87.8% (0.7b remaining)

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

bsearch3.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02149
12449
done2449

end0.0ms

sample1.3s

Algorithm
intervals
Results
601.0ms9542×body80valid