Details

Time bar (total: 7.3s)

sample60.0ms

Algorithm
intervals
Results
28.0ms359×body80valid

simplify67.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.5b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* (* z 9.0) t))
0.2b
(* (* z 9.0) t)
8.9b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
8×pow1
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×add-log-exp
4×prod-exp cbrt-unprod
3×times-frac associate-*r* pow-prod-down associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg diff-log div-sub associate-*l* clear-num associate-/r* *-commutative div-inv
Counts
3 → 54
Calls
3 calls:
13.0ms
(- (* x y) (* (* z 9.0) t))
36.0ms
(* (* z 9.0) t)
29.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series215.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(- (* x y) (* (* z 9.0) t))
32.0ms
(* (* z 9.0) t)
99.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify43.0ms

Counts
63 → 63

prune266.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 9.1b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
0.2b
(* 4.5 (/ (* t z) a))
6.0b
(/ (* x y) a)
7.3b
(/ (* t z) a)

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
13×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×times-frac
7×associate-*r*
6×pow1 cbrt-undiv div-exp prod-exp associate-/r* cbrt-unprod add-log-exp
5×associate-*r/
3×associate-*l* div-inv
2×frac-2neg clear-num associate-/l*
1×sub-neg flip3-- diff-log pow-prod-down *-commutative frac-sub flip-- sub-div unswap-sqr
Counts
4 → 83
Calls
4 calls:
21.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
35.0ms
(* 4.5 (/ (* t z) a))
19.0ms
(/ (* x y) a)
19.0ms
(/ (* t z) a)

series259.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
46.0ms
(* 4.5 (/ (* t z) a))
33.0ms
(/ (* x y) a)
27.0ms
(/ (* t z) a)

simplify54.0ms

Counts
95 → 95

prune338.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
4.7b
(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
7.3b
(/ (* t z) a)

rewrite86.0ms

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)
1.0ms
(cbrt a)
63.0ms
(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
15.0ms
(/ (* t z) a)

series647.0ms

Counts
4 → 12
Calls
4 calls:
274.0ms
(cbrt a)
269.0ms
(cbrt a)
74.0ms
(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
31.0ms
(/ (* t z) a)

simplify62.0ms

Counts
114 → 114

prune455.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.9b
(* (/ (* (cbrt x) (cbrt x)) (cbrt a)) (* (/ (cbrt x) (cbrt a)) (/ y (cbrt a))))
1.1b
(* (/ (cbrt x) (cbrt a)) (/ y (cbrt a)))
7.3b
(/ (* t z) a)

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
100×add-sqr-sqrt
90×add-exp-log
85×times-frac
68×cbrt-prod
50×associate-*l*
48×add-cube-cbrt *-un-lft-identity
46×add-cbrt-cube
37×prod-exp cbrt-unprod
28×cbrt-undiv div-exp
23×associate-*r*
15×unswap-sqr
11×pow1
6×frac-times associate-*r/
4×pow-prod-down associate-*l/ div-inv add-log-exp
3×associate-/r*
2×*-commutative
1×frac-2neg pow1/3 clear-num associate-/l*
Counts
4 → 187
Calls
4 calls:
1.0ms
(cbrt x)
74.0ms
(* (/ (* (cbrt x) (cbrt x)) (cbrt a)) (* (/ (cbrt x) (cbrt a)) (/ y (cbrt a))))
72.0ms
(* (/ (cbrt x) (cbrt a)) (/ y (cbrt a)))
11.0ms
(/ (* t z) a)

series474.0ms

Counts
4 → 12
Calls
4 calls:
236.0ms
(cbrt x)
25.0ms
(* (/ (* (cbrt x) (cbrt x)) (cbrt a)) (* (/ (cbrt x) (cbrt a)) (/ y (cbrt a))))
188.0ms
(* (/ (cbrt x) (cbrt a)) (/ y (cbrt a)))
25.0ms
(/ (* t z) a)

simplify102.0ms

Counts
199 → 199

prune892.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes882.0ms

Accuracy

-30.7% (7.9b remaining)

Error of 7.9b against oracle of 0.0b and baseline of 6.1b

bsearch2.0ms

simplify150.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.0s11104×body80valid