Details

Time bar (total: 10.5s)

sample21.0ms

Algorithm
intervals
Results
8.0ms295×body80valid

simplify36.0ms

Counts
1 → 1
Iterations
IterNodes
done72
572
468
346
224
111
07

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize9.0ms

Local error

Found 1 expressions with local error:

2.5b
(* (- 1.0 (* y z)) x)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
2×associate-*l/
1×flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod flip-- add-log-exp unswap-sqr
Counts
1 → 20
Calls
1 calls:
13.0ms
(* (- 1.0 (* y z)) x)

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(* (- 1.0 (* y z)) x)

simplify415.0ms

Counts
23 → 23
Iterations
IterNodes
done5000
2501
1117
047

prune155.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))) (* (cbrt (- 1.0 (* z y))) x))
2.6b
(cbrt (- 1.0 (* z y)))
2.6b
(cbrt (- 1.0 (* y z)))
2.6b
(cbrt (- 1.0 (* y z)))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
32×associate-*l/
30×flip3-- flip--
28×frac-times
16×pow1 add-exp-log
10×add-cbrt-cube
9×cbrt-prod
8×pow-prod-down prod-exp associate-*r/ cbrt-unprod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×add-log-exp
3×pow1/3
1×associate-*r* associate-*l* *-commutative
Counts
4 → 87
Calls
4 calls:
114.0ms
(* (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))) (* (cbrt (- 1.0 (* z y))) x))
5.0ms
(cbrt (- 1.0 (* z y)))
5.0ms
(cbrt (- 1.0 (* y z)))
5.0ms
(cbrt (- 1.0 (* y z)))

series999.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))) (* (cbrt (- 1.0 (* z y))) x))
295.0ms
(cbrt (- 1.0 (* z y)))
328.0ms
(cbrt (- 1.0 (* y z)))
329.0ms
(cbrt (- 1.0 (* y z)))

simplify823.0ms

Counts
99 → 99
Iterations
IterNodes
done5001
22418
1556
0190

prune763.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 2.5b

localize32.0ms

Local error

Found 4 expressions with local error:

0.4b
(* x (* (cbrt (- 1.0 (* z y))) (cbrt (- 1.0 (* z y)))))
2.6b
(cbrt (- 1.0 (* z y)))
2.6b
(cbrt (- 1.0 (* z y)))
2.6b
(cbrt (- 1.0 (* y z)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×associate-*r/
9×cbrt-prod add-sqr-sqrt pow1 flip3-- add-exp-log flip--
8×*-un-lft-identity add-cube-cbrt
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:
37.0ms
(* x (* (cbrt (- 1.0 (* z y))) (cbrt (- 1.0 (* z y)))))
2.0ms
(cbrt (- 1.0 (* z y)))
2.0ms
(cbrt (- 1.0 (* z y)))
3.0ms
(cbrt (- 1.0 (* y z)))

series1.3s

Counts
4 → 12
Calls
4 calls:
187.0ms
(* x (* (cbrt (- 1.0 (* z y))) (cbrt (- 1.0 (* z y)))))
365.0ms
(cbrt (- 1.0 (* z y)))
434.0ms
(cbrt (- 1.0 (* z y)))
354.0ms
(cbrt (- 1.0 (* y z)))

simplify654.0ms

Counts
78 → 78
Iterations
IterNodes
done5000
21293
1391
0159

prune593.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 2.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(* (cbrt x) (cbrt x))
2.2b
(* (- 1.0 (* z y)) (* (cbrt x) (cbrt x)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×cbrt-prod
16×pow1
15×*-un-lft-identity add-cube-cbrt
11×add-exp-log
9×associate-*l*
8×pow1/3
7×add-cbrt-cube associate-*r*
6×swap-sqr
5×pow-prod-down unswap-sqr
4×prod-exp cbrt-unprod add-log-exp
2×associate-*l/ pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus flip3-- flip--
Counts
4 → 83
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
13.0ms
(* (cbrt x) (cbrt x))
34.0ms
(* (- 1.0 (* z y)) (* (cbrt x) (cbrt x)))

series1.2s

Counts
4 → 12
Calls
4 calls:
260.0ms
(cbrt x)
291.0ms
(cbrt x)
323.0ms
(* (cbrt x) (cbrt x))
282.0ms
(* (- 1.0 (* z y)) (* (cbrt x) (cbrt x)))

simplify1.3s

Counts
95 → 95
Iterations
IterNodes
done5002
21402
1265
0104

prune453.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 2.5b

regimes559.0ms

Accuracy

0% (0.1b remaining)

Error of 3.2b against oracle of 3.1b and baseline of 3.2b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done9
19
07

end0.0ms

sample803.0ms

Algorithm
intervals
Results
411.0ms9682×body80valid