Details

Time bar (total: 3.6s)

sample28.0ms

Algorithm
intervals
Results
11.0ms353×body80valid

simplify6.0ms

Counts
1 → 1

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.5b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z y))
6.2b
(* (- (* x y) (* z y)) t)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*l* add-cbrt-cube add-log-exp
3×associate-*r*
2×flip3-- distribute-rgt-out-- associate-*l/ flip--
1×sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 34
Calls
2 calls:
8.0ms
(- (* x y) (* z y))
27.0ms
(* (- (* x y) (* z y)) t)

series92.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(- (* x y) (* z y))
55.0ms
(* (- (* x y) (* z y)) t)

simplify98.0ms

Counts
40 → 40

prune107.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x z) t)
6.2b
(* y (* (- x z) t))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
8×associate-*l*
7×*-un-lft-identity
5×add-cube-cbrt
4×associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod
2×flip3-- associate-*r/ *-commutative flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 42
Calls
2 calls:
22.0ms
(* (- x z) t)
35.0ms
(* y (* (- x z) t))

series81.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* (- x z) t)
45.0ms
(* y (* (- x z) t))

simplify102.0ms

Counts
48 → 48

prune113.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) (- (* z y)))
6.2b
(* (+ (* x y) (- (* z y))) t)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt add-log-exp
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*l* add-cbrt-cube
3×associate-*r*
2×distribute-lft-neg-in distribute-rgt-out flip3-+ associate-*l/ sum-log flip-+
1×+-commutative neg-sub0 associate-+r- unsub-neg pow-prod-down neg-log prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 37
Calls
2 calls:
9.0ms
(+ (* x y) (- (* z y)))
29.0ms
(* (+ (* x y) (- (* z y))) t)

series92.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ (* x y) (- (* z y)))
56.0ms
(* (+ (* x y) (- (* z y))) t)

simplify33.0ms

Counts
43 → 43

prune113.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y))))
9.0b
(cbrt (- (* x y) (* z y)))
9.0b
(cbrt (- (* x y) (* z y)))
9.0b
(cbrt (- (* x y) (* z y)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
7×distribute-rgt-out-- swap-sqr associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 93
Calls
4 calls:
53.0ms
(* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y))))
6.0ms
(cbrt (- (* x y) (* z y)))
11.0ms
(cbrt (- (* x y) (* z y)))
6.0ms
(cbrt (- (* x y) (* z y)))

series550.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y))))
133.0ms
(cbrt (- (* x y) (* z y)))
131.0ms
(cbrt (- (* x y) (* z y)))
132.0ms
(cbrt (- (* x y) (* z y)))

simplify44.0ms

Counts
105 → 105

prune345.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.0b

regimes593.0ms

Accuracy

81.2% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 7.2b

bsearch1.0ms

simplify1.0ms

end0.0ms

sample904.0ms

Algorithm
intervals
Results
465.0ms10830×body80valid