Details

Time bar (total: 10.3s)

sample57.0ms

Algorithm
intervals
Results
21.0ms362×body80valid

simplify68.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.6b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z t))
8.0b
(/ (- (* x y) (* z t)) a)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 42
Calls
2 calls:
8.0ms
(- (* x y) (* z t))
32.0ms
(/ (- (* x y) (* z t)) a)

series139.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(- (* x y) (* z t))
81.0ms
(/ (- (* x y) (* z t)) a)

simplify1.3s

Counts
48 → 48

prune158.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 8.2b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x y) a) (/ (* t z) a))
5.9b
(/ (* x y) a)
6.8b
(/ (* t z) a)

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
9×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×times-frac associate-/r*
5×add-log-exp
4×cbrt-undiv div-exp div-inv
3×pow1
2×frac-2neg prod-exp clear-num cbrt-unprod associate-/l*
1×sub-neg flip3-- distribute-rgt-out-- diff-log frac-sub flip-- distribute-lft-out-- sub-div difference-of-squares
Counts
3 → 59
Calls
3 calls:
25.0ms
(- (/ (* x y) a) (/ (* t z) a))
10.0ms
(/ (* x y) a)
16.0ms
(/ (* t z) a)

series152.0ms

Counts
3 → 9
Calls
3 calls:
92.0ms
(- (/ (* x y) a) (/ (* t z) a))
34.0ms
(/ (* x y) a)
26.0ms
(/ (* t z) a)

simplify547.0ms

Counts
68 → 68

prune222.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.5b

localize362.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
3.0b
(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
6.8b
(/ (* t z) a)

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
31×times-frac
30×add-exp-log
23×add-cube-cbrt *-un-lft-identity add-cbrt-cube
22×associate-*r*
17×cbrt-prod
9×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
6×pow1 unswap-sqr
4×add-log-exp
3×associate-/r* div-inv
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l*
Counts
4 → 102
Calls
4 calls:
1.0ms
(cbrt a)
7.0ms
(cbrt a)
57.0ms
(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
16.0ms
(/ (* t z) a)

series662.0ms

Counts
4 → 12
Calls
4 calls:
265.0ms
(cbrt a)
294.0ms
(cbrt a)
75.0ms
(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
28.0ms
(/ (* t z) a)

simplify959.0ms

Counts
114 → 114

prune402.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
3.0b
(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
5.0b
(* t (/ z a))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
38×times-frac
35×associate-*r*
30×add-exp-log
29×add-cube-cbrt *-un-lft-identity
23×add-cbrt-cube
17×cbrt-prod
10×associate-*l* prod-exp cbrt-unprod
8×pow1 cbrt-undiv div-exp unswap-sqr
4×add-log-exp
3×div-inv
2×pow1/3 associate-*r/ pow-prod-down *-commutative
1×frac-times associate-*l/
Counts
4 → 113
Calls
4 calls:
2.0ms
(cbrt a)
2.0ms
(cbrt a)
61.0ms
(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
15.0ms
(* t (/ z a))

series687.0ms

Counts
4 → 12
Calls
4 calls:
284.0ms
(cbrt a)
302.0ms
(cbrt a)
74.0ms
(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
27.0ms
(* t (/ z a))

simplify1.0s

Counts
125 → 125

prune482.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes734.0ms

Accuracy

79.6% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 7.7b

bsearch2.0ms

simplify632.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
627.0ms11182×body80valid