Details

Time bar (total: 10.2s)

sample21.0ms

Algorithm
intervals
Results
8.0ms299×body80valid

simplify60.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize10.0ms

Local error

Found 1 expressions with local error:

3.2b
(* x (- 1.0 (* y z)))

rewrite30.0ms

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:
29.0ms
(* x (- 1.0 (* y z)))

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(* x (- 1.0 (* y z)))

simplify873.0ms

Counts
27 → 27

prune103.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
3.3b
(cbrt (- 1.0 (* y z)))
3.3b
(cbrt (- 1.0 (* y z)))
3.3b
(cbrt (- 1.0 (* y z)))

rewrite91.0ms

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:
79.0ms
(* 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)))

series1.1s

Counts
4 → 12
Calls
4 calls:
118.0ms
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
357.0ms
(cbrt (- 1.0 (* y z)))
306.0ms
(cbrt (- 1.0 (* y z)))
333.0ms
(cbrt (- 1.0 (* y z)))

simplify1.5s

Counts
78 → 78

prune371.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 3.2b

localize23.0ms

Local error

Found 4 expressions with local error:

3.3b
(cbrt (- 1.0 (* y z)))
3.3b
(cbrt (- 1.0 (* y z)))
3.3b
(cbrt (- 1.0 (* y z)))
3.3b
(cbrt (- 1.0 (* y z)))

rewrite14.0ms

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)))

series1.1s

Counts
4 → 12
Calls
4 calls:
260.0ms
(cbrt (- 1.0 (* y z)))
329.0ms
(cbrt (- 1.0 (* y z)))
311.0ms
(cbrt (- 1.0 (* y z)))
245.0ms
(cbrt (- 1.0 (* y z)))

simplify1.3s

Counts
64 → 64

prune381.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 3.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.5b
(* (cbrt x) (- 1.0 (* y z)))
1.9b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
13×add-sqr-sqrt
11×add-cbrt-cube
10×cbrt-prod distribute-rgt-in distribute-lft-in
9×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
7×associate-*l*
6×sub-neg associate-*r/
4×associate-*r* add-log-exp
2×flip3-- pow1/3 *-commutative flip-- unswap-sqr
Counts
4 → 82
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
22.0ms
(* (cbrt x) (- 1.0 (* y z)))
56.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

series873.0ms

Counts
4 → 12
Calls
4 calls:
273.0ms
(cbrt x)
283.0ms
(cbrt x)
235.0ms
(* (cbrt x) (- 1.0 (* y z)))
82.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

simplify664.0ms

Counts
94 → 94

prune223.0ms

Pruning

12 alts after pruning (8 fresh and 4 done)

Merged error: 3.2b

regimes360.0ms

Accuracy

-4.8% (0.1b remaining)

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

bsearch0.0ms

simplify60.0ms

end0.0ms

sample846.0ms

Algorithm
intervals
Results
326.0ms9623×body80valid