Details

Time bar (total: 9.1s)

sample15.0ms

Algorithm
intervals
Results
6.0ms298×body80valid

simplify39.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
1117
2247
3527
4807
5907
done907

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize5.0ms

Local error

Found 1 expressions with local error:

3.6b
(* x (- 1.0 (* y z)))

rewrite10.0ms

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:
8.0ms
(* x (- 1.0 (* y z)))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(* x (- 1.0 (* y z)))

simplify1.2s

Counts
35 → 35
Iterations

Useful iterations: done (1.2s)

IterNodesCost
070405
1152402
2558352
32059343
done5000337

prune65.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.7b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
3.8b
(cbrt (- 1.0 (* y z)))
3.8b
(cbrt (- 1.0 (* y z)))
3.8b
(cbrt (- 1.0 (* y z)))

rewrite27.0ms

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:
20.0ms
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
1.0ms
(cbrt (- 1.0 (* y z)))
1.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))

series793.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
233.0ms
(cbrt (- 1.0 (* y z)))
233.0ms
(cbrt (- 1.0 (* y z)))
230.0ms
(cbrt (- 1.0 (* y z)))

simplify1.8s

Counts
86 → 86
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01401593
13521517
210701381
343311205
done50001193

prune273.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.7b

localize9.0ms

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))))
3.8b
(cbrt (- 1.0 (* y z)))
3.8b
(cbrt (- 1.0 (* y z)))
3.8b
(cbrt (- 1.0 (* y z)))

rewrite70.0ms

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:
61.0ms
(* (* (* x (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z))))
1.0ms
(cbrt (- 1.0 (* y z)))
1.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))

series739.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (* (* x (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z))))
234.0ms
(cbrt (- 1.0 (* y z)))
230.0ms
(cbrt (- 1.0 (* y z)))
228.0ms
(cbrt (- 1.0 (* y z)))

simplify585.0ms

Counts
109 → 109
Iterations

Useful iterations: 2 (147.0ms)

IterNodesCost
01723031
14682868
215792417
done50012417

prune349.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 3.7b

localize13.0ms

Local error

Found 4 expressions with local error:

3.8b
(cbrt (- 1.0 (* y z)))
3.8b
(cbrt (- 1.0 (* y z)))
3.8b
(cbrt (- 1.0 (* y z)))
3.8b
(cbrt (- 1.0 (* y z)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u flip3-- pow1/3 add-cbrt-cube flip-- log1p-expm1-u add-log-exp
Counts
4 → 60
Calls
4 calls:
1.0ms
(cbrt (- 1.0 (* y z)))
1.0ms
(cbrt (- 1.0 (* y z)))
1.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))

series948.0ms

Counts
4 → 12
Calls
4 calls:
238.0ms
(cbrt (- 1.0 (* y z)))
241.0ms
(cbrt (- 1.0 (* y z)))
231.0ms
(cbrt (- 1.0 (* y z)))
238.0ms
(cbrt (- 1.0 (* y z)))

simplify1.2s

Counts
72 → 72
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0811304
12101232
27081152
33206936
done5000920

prune289.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 3.7b

regimes166.0ms

Accuracy

0% (0.1b remaining)

Error of 3.3b against oracle of 3.2b and baseline of 3.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
197
done97

end0.0ms

sample393.0ms

Algorithm
intervals
Results
193.0ms9544×body80valid