Details

Time bar (total: 4.5s)

sample24.0ms

Algorithm
intervals
Results
12.0ms309×body80valid

simplify3.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* y z))
4.1b
(* x (- 1.0 (* y z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×sub-neg associate-*r* associate-*l*
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 36
Calls
2 calls:
5.0ms
(- 1.0 (* y z))
17.0ms
(* x (- 1.0 (* y z)))

series93.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(- 1.0 (* y z))
62.0ms
(* x (- 1.0 (* y z)))

simplify48.0ms

Counts
42 → 42

prune129.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.2b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (- (* y z))))
8.3b
(* x (- (* y z)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt associate-*r*
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*l* distribute-rgt-neg-out
1×+-commutative distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in flip3-+ unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
13.0ms
(+ (* x 1.0) (* x (- (* y z))))
18.0ms
(* x (- (* y z)))

series126.0ms

Counts
2 → 6
Calls
2 calls:
89.0ms
(+ (* x 1.0) (* x (- (* y z))))
38.0ms
(* x (- (* y z)))

simplify32.0ms

Counts
42 → 42

prune99.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
3.7b
(* (cbrt x) (- (* y z)))
4.7b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z))))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
13×add-sqr-sqrt
11×add-cbrt-cube
10×cbrt-prod
9×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
7×associate-*r* associate-*l*
4×add-log-exp
3×distribute-rgt-neg-out
2×pow1/3 *-commutative unswap-sqr
1×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in
Counts
4 → 71
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
14.0ms
(* (cbrt x) (- (* y z)))
52.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z))))

series866.0ms

Counts
4 → 12
Calls
4 calls:
310.0ms
(cbrt x)
314.0ms
(cbrt x)
183.0ms
(* (cbrt x) (- (* y z)))
59.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z))))

simplify48.0ms

Counts
83 → 83

prune270.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.5b
(* (* (cbrt x) (- y)) z)
4.7b
(* (* (cbrt x) (cbrt x)) (* (* (cbrt x) (- y)) z))

rewrite411.0ms

Algorithm
rewrite-expression-head
Rules
30×pow1 add-exp-log
21×add-cbrt-cube
18×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod
4×associate-*r* add-log-exp
3×distribute-rgt-neg-out
2×distribute-lft-neg-out pow1/3 associate-*l* *-commutative
Counts
4 → 70
Calls
4 calls:
1.0ms
(cbrt x)
2.0ms
(cbrt x)
313.0ms
(* (* (cbrt x) (- y)) z)
92.0ms
(* (* (cbrt x) (cbrt x)) (* (* (cbrt x) (- y)) z))

series840.0ms

Counts
4 → 12
Calls
4 calls:
248.0ms
(cbrt x)
312.0ms
(cbrt x)
197.0ms
(* (* (cbrt x) (- y)) z)
83.0ms
(* (* (cbrt x) (cbrt x)) (* (* (cbrt x) (- y)) z))

simplify58.0ms

Counts
82 → 82

prune211.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes227.0ms

Accuracy

-6.9% (3.5b remaining)

Error of 3.5b against oracle of 0.0b and baseline of 3.3b

bsearch2.0ms

simplify29.0ms

end0.0ms

sample813.0ms

Algorithm
intervals
Results
389.0ms9610×body80valid