Details

Time bar (total: 8.0s)

sample15.0ms

Algorithm
intervals
Results
6.0ms298×body80valid

simplify34.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
1117
2247
3467
4647
5727
done727

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)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
8.0ms
(* x (- 1.0 (* y z)))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(* x (- 1.0 (* y z)))

simplify809.0ms

Counts
27 → 27
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
051267
1125264
2455232
31625232
done5000232

prune54.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.7b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(* 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)))

rewrite28.0ms

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×frac-times 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 → 66
Calls
4 calls:
21.0ms
(* 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)))

series779.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
227.0ms
(cbrt (- 1.0 (* y z)))
230.0ms
(cbrt (- 1.0 (* y z)))
225.0ms
(cbrt (- 1.0 (* y z)))

simplify1.5s

Counts
78 → 78
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01361519
13431455
210231334
341021152
done50001140

prune244.0ms

Pruning

7 alts after pruning (6 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×add-log-exp
3×pow1/3
1×associate-*l* *-commutative
Counts
4 → 89
Calls
4 calls:
61.0ms
(* (* (* x (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z))))
2.0ms
(cbrt (- 1.0 (* y z)))
1.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))

series758.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* (* (* x (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z))))
242.0ms
(cbrt (- 1.0 (* y z)))
228.0ms
(cbrt (- 1.0 (* y z)))
237.0ms
(cbrt (- 1.0 (* y z)))

simplify521.0ms

Counts
101 → 101
Iterations

Useful iterations: 2 (129.0ms)

IterNodesCost
01682943
14602812
215392452
done50002452

prune303.0ms

Pruning

8 alts after pruning (6 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 flip3-- pow1/3 add-cbrt-cube flip-- add-log-exp
Counts
4 → 52
Calls
4 calls:
2.0ms
(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)))

series913.0ms

Counts
4 → 12
Calls
4 calls:
230.0ms
(cbrt (- 1.0 (* y z)))
230.0ms
(cbrt (- 1.0 (* y z)))
224.0ms
(cbrt (- 1.0 (* y z)))
229.0ms
(cbrt (- 1.0 (* y z)))

simplify1.1s

Counts
64 → 64
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0791248
12021192
26691120
33031896
done5001880

prune248.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 3.7b

regimes184.0ms

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

sample372.0ms

Algorithm
intervals
Results
186.0ms9544×body80valid