Details

Time bar (total: 17.9s)

sample23.0ms

Algorithm
intervals
Results
8.0ms300×body80valid

simplify69.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1117
2247
3527
4817
5877
done877

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize6.0ms

Local error

Found 1 expressions with local error:

1.7b
(* x (- 1.0 (* y z)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×prod-diff
5×distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in
3×pow1 add-exp-log associate-*r* associate-*l* add-cbrt-cube
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 32
Calls
1 calls:
21.0ms
(* x (- 1.0 (* y z)))

series60.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(* x (- 1.0 (* y z)))

simplify1.3s

Counts
35 → 35
Iterations

Useful iterations: done (1.3s)

IterNodesCost
070405
1151402
2392352
31409343
done5000307

prune85.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.7b

localize19.0ms

Local error

Found 4 expressions with local error:

0.8b
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
1.9b
(cbrt (- 1.0 (* y z)))
1.9b
(cbrt (- 1.0 (* y z)))
1.9b
(cbrt (- 1.0 (* y z)))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×associate-*r/
9×pow1 add-exp-log cbrt-prod add-sqr-sqrt flip3-- flip--
8×add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 74
Calls
4 calls:
58.0ms
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
6.0ms
(cbrt (- 1.0 (* y z)))
6.0ms
(cbrt (- 1.0 (* y z)))
6.0ms
(cbrt (- 1.0 (* y z)))

series1.2s

Counts
4 → 12
Calls
4 calls:
180.0ms
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
371.0ms
(cbrt (- 1.0 (* y z)))
364.0ms
(cbrt (- 1.0 (* y z)))
300.0ms
(cbrt (- 1.0 (* y z)))

simplify2.6s

Counts
86 → 86
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01401593
13501517
210341381
333811193
done50001144

prune395.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 1.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (* x (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z))))
1.9b
(cbrt (- 1.0 (* y z)))
1.9b
(cbrt (- 1.0 (* y z)))
1.9b
(cbrt (- 1.0 (* y z)))

rewrite648.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
30×flip3-- flip--
28×frac-times
26×associate-*r/
14×associate-*l/
13×pow1 add-exp-log
12×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
6×associate-*r* pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
1×associate-*l* *-commutative
Counts
4 → 97
Calls
4 calls:
610.0ms
(* (* (* x (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z))))
6.0ms
(cbrt (- 1.0 (* y z)))
15.0ms
(cbrt (- 1.0 (* y z)))
6.0ms
(cbrt (- 1.0 (* y z)))

series1.2s

Counts
4 → 12
Calls
4 calls:
77.0ms
(* (* (* x (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z))))
354.0ms
(cbrt (- 1.0 (* y z)))
398.0ms
(cbrt (- 1.0 (* y z)))
356.0ms
(cbrt (- 1.0 (* y z)))

simplify4.0s

Counts
109 → 109
Iterations

Useful iterations: 3 (2.2s)

IterNodesCost
01723031
14622866
214702417
347472108
done50002108

prune492.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 1.7b

localize32.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (cbrt x) (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
1.9b
(cbrt (- 1.0 (* y z)))
1.9b
(cbrt (- 1.0 (* y z)))
1.9b
(cbrt (- 1.0 (* y z)))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
13×cbrt-prod
11×add-sqr-sqrt
10×associate-*r/
9×pow1 add-exp-log add-cube-cbrt flip3-- *-un-lft-identity flip--
6×pow1/3 associate-*l*
5×pow-prod-down add-cbrt-cube
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp
3×prod-exp cbrt-unprod
2×associate-*l/ unswap-sqr
1×associate-*r* *-commutative
Counts
4 → 79
Calls
4 calls:
78.0ms
(* (cbrt x) (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
4.0ms
(cbrt (- 1.0 (* y z)))
5.0ms
(cbrt (- 1.0 (* y z)))
6.0ms
(cbrt (- 1.0 (* y z)))

series1.2s

Counts
4 → 12
Calls
4 calls:
158.0ms
(* (cbrt x) (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
340.0ms
(cbrt (- 1.0 (* y z)))
363.0ms
(cbrt (- 1.0 (* y z)))
363.0ms
(cbrt (- 1.0 (* y z)))

simplify2.5s

Counts
91 → 91
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01531710
13781634
210851505
335361315
done50011259

prune405.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 1.7b

regimes310.0ms

Accuracy

0% (0.1b remaining)

Error of 3.3b against oracle of 3.1b and baseline of 3.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
197
done97

end0.0ms

sample1.0s

Algorithm
intervals
Results
487.0ms9659×body80valid