Details

Time bar (total: 4.8s)

sample20.0ms

Algorithm
intervals
Results
7.0ms310×body80valid

simplify4.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize6.0ms

Local error

Found 1 expressions with local error:

3.4b
(* x (- 1.0 (* y z)))

rewrite17.0ms

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:
16.0ms
(* x (- 1.0 (* y z)))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(* x (- 1.0 (* y z)))

simplify50.0ms

Counts
27 → 27

prune55.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.5b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
3.6b
(cbrt (- 1.0 (* y z)))
3.6b
(cbrt (- 1.0 (* y z)))
3.6b
(cbrt (- 1.0 (* y z)))

rewrite57.0ms

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:
46.0ms
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
3.0ms
(cbrt (- 1.0 (* y z)))
3.0ms
(cbrt (- 1.0 (* y z)))
3.0ms
(cbrt (- 1.0 (* y z)))

series825.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
238.0ms
(cbrt (- 1.0 (* y z)))
240.0ms
(cbrt (- 1.0 (* y z)))
242.0ms
(cbrt (- 1.0 (* y z)))

simplify101.0ms

Counts
78 → 78

prune268.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.5b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

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:
3.0ms
(cbrt (- 1.0 (* y z)))
3.0ms
(cbrt (- 1.0 (* y z)))
3.0ms
(cbrt (- 1.0 (* y z)))
3.0ms
(cbrt (- 1.0 (* y z)))

series943.0ms

Counts
4 → 12
Calls
4 calls:
233.0ms
(cbrt (- 1.0 (* y z)))
236.0ms
(cbrt (- 1.0 (* y z)))
235.0ms
(cbrt (- 1.0 (* y z)))
239.0ms
(cbrt (- 1.0 (* y z)))

simplify75.0ms

Counts
64 → 64

prune332.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 3.5b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(* (cbrt x) (cbrt x))
1.3b
(* (cbrt x) (- 1.0 (* y z)))
2.4b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
25×pow1
23×cbrt-prod
20×add-exp-log
16×add-cube-cbrt *-un-lft-identity
13×associate-*l*
11×pow-prod-down add-cbrt-cube
10×distribute-rgt-in distribute-lft-in associate-*r* prod-exp cbrt-unprod
7×pow1/3
6×sub-neg associate-*r/ swap-sqr unswap-sqr
4×add-log-exp
3×*-commutative
2×flip3-- pow-sqr pow-prod-up flip--
1×pow2 pow-plus
Counts
4 → 111
Calls
4 calls:
1.0ms
(cbrt x)
12.0ms
(* (cbrt x) (cbrt x))
19.0ms
(* (cbrt x) (- 1.0 (* y z)))
52.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

series697.0ms

Counts
4 → 12
Calls
4 calls:
203.0ms
(cbrt x)
218.0ms
(* (cbrt x) (cbrt x))
196.0ms
(* (cbrt x) (- 1.0 (* y z)))
79.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

simplify57.0ms

Counts
123 → 123

prune221.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 3.4b

regimes268.0ms

Accuracy

0% (0.1b remaining)

Error of 3.4b against oracle of 3.3b and baseline of 3.4b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample628.0ms

Algorithm
intervals
Results
277.0ms9682×body80valid