Details

Time bar (total: 11.5s)

sample17.0ms

Algorithm
intervals
Results
6.0ms302×body80valid

simplify59.0ms

Counts
1 → 1
Iterations

Useful iterations: 7 (39.0ms)

IterNodesCost
067
1167
2247
3377
4447
5507
6547
7646
8666
done666

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

3.6b
(fma (/ y z) x x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (/ y z) x x)

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(fma (/ y z) x x)

simplify3.2s

Counts
13 → 13
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
018110
126107
25695
319995
482395
5383095
done500095

prune34.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

5.9b
(* x (/ y z))

rewrite15.0ms

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 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:
14.0ms
(* x (/ y z))

series24.0ms

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

simplify2.9s

Counts
37 → 37
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
071289
1164272
2447242
31217242
43292242
done5000242

prune78.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
1.8b
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-cbrt-cube
12×add-sqr-sqrt
cbrt-prod add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
pow1
associate-*r*
cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
pow1/3 associate-*l*
times-frac unswap-sqr
associate-*r/ pow-prod-down *-commutative div-inv
Counts
4 → 71
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
40.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

series625.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt z)
183.0ms
(cbrt z)
177.0ms
(cbrt z)
82.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

simplify1.1s

Counts
83 → 83
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0119828
1294793
21086599
done5001564

prune229.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
1.8b
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))))))

rewrite289.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
25×prod-exp cbrt-unprod
24×add-cbrt-cube
11×add-sqr-sqrt
cbrt-prod add-cube-cbrt *-un-lft-identity
cbrt-undiv div-exp
pow1
associate-*r*
expm1-log1p-u log1p-expm1-u add-log-exp
pow1/3 associate-*l*
times-frac associate-*r/ pow-prod-down *-commutative div-inv unswap-sqr
Counts
4 → 78
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
283.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))))))

series637.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt z)
189.0ms
(cbrt z)
183.0ms
(cbrt z)
85.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))))))

simplify1.5s

Counts
90 → 90
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01511451
13931396
21810890
done5001666

prune265.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes69.0ms

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
01221
11521
done1521

end0.0ms

sample463.0ms

Algorithm
intervals
Results
192.0ms9601×body80valid