Details

Time bar (total: 7.0s)

sample28.0ms

Algorithm
intervals
Results
10.0ms315×body80valid

simplify4.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize9.0ms

Local error

Found 1 expressions with local error:

2.9b
(* x (- 1.0 (* y z)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
distribute-rgt-in sub-neg distribute-lft-in associate-*r/
flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
27.0ms
(* x (- 1.0 (* y z)))

series66.0ms

Counts
1 → 3
Calls
1 calls:
66.0ms
(* x (- 1.0 (* y z)))

simplify33.0ms

Counts
27 → 27

prune68.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 3.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
3.1b
(cbrt (- 1.0 (* y z)))
3.1b
(cbrt (- 1.0 (* y z)))
3.1b
(cbrt (- 1.0 (* y z)))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
flip3-- pow1/3 flip--
add-exp-log swap-sqr associate-*r* associate-*l*
frac-times add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
51.0ms
(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
5.0ms
(cbrt (- 1.0 (* y z)))
5.0ms
(cbrt (- 1.0 (* y z)))
4.0ms
(cbrt (- 1.0 (* y z)))

series1.3s

Counts
4 → 12
Calls
4 calls:
276.0ms
(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
334.0ms
(cbrt (- 1.0 (* y z)))
335.0ms
(cbrt (- 1.0 (* y z)))
348.0ms
(cbrt (- 1.0 (* y z)))

simplify58.0ms

Counts
99 → 99

prune492.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 3.0b

localize18.0ms

Local error

Found 4 expressions with local error:

3.1b
(cbrt (- 1.0 (* y z)))
3.1b
(cbrt (- 1.0 (* y z)))
3.1b
(cbrt (- 1.0 (* y z)))
3.1b
(cbrt (- 1.0 (* y z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- add-log-exp
Counts
4 → 52
Calls
4 calls:
5.0ms
(cbrt (- 1.0 (* y z)))
5.0ms
(cbrt (- 1.0 (* y z)))
4.0ms
(cbrt (- 1.0 (* y z)))
5.0ms
(cbrt (- 1.0 (* y z)))

series1.1s

Counts
4 → 12
Calls
4 calls:
252.0ms
(cbrt (- 1.0 (* y z)))
246.0ms
(cbrt (- 1.0 (* y z)))
285.0ms
(cbrt (- 1.0 (* y z)))
299.0ms
(cbrt (- 1.0 (* y z)))

simplify83.0ms

Counts
64 → 64

prune491.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 3.0b

localize46.0ms

Local error

Found 4 expressions with local error:

3.1b
(cbrt (- 1.0 (* y z)))
3.1b
(cbrt (- 1.0 (* y z)))
3.1b
(cbrt (- 1.0 (* y z)))
3.1b
(cbrt (- 1.0 (* y z)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- add-log-exp
Counts
4 → 52
Calls
4 calls:
5.0ms
(cbrt (- 1.0 (* y z)))
14.0ms
(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:
297.0ms
(cbrt (- 1.0 (* y z)))
304.0ms
(cbrt (- 1.0 (* y z)))
305.0ms
(cbrt (- 1.0 (* y z)))
313.0ms
(cbrt (- 1.0 (* y z)))

simplify83.0ms

Counts
64 → 64

prune457.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 3.0b

regimes304.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.0s

Algorithm
intervals
Results
654.0ms9555×body80valid