Details

Time bar (total: 12.2s)

sample57.0ms

Algorithm
intervals
Results
38.0ms377×body80valid

simplify2.6s

Counts
1 → 1
Iterations
IterNodes
done1440
71440
61408
51172
4671
3269
286
126
013

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.7b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* (* z 9.0) t))
0.4b
(* (* z 9.0) t)
8.4b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube add-exp-log
8×pow1
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×add-log-exp
4×prod-exp cbrt-unprod
3×times-frac associate-*r* pow-prod-down insert-posit16 associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×clear-num associate-/r* sub-neg frac-2neg diff-log div-sub associate-*l* *-commutative div-inv
Counts
3 → 57
Calls
3 calls:
10.0ms
(- (* x y) (* (* z 9.0) t))
14.0ms
(* (* z 9.0) t)
26.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series216.0ms

Counts
3 → 9
Calls
3 calls:
78.0ms
(- (* x y) (* (* z 9.0) t))
19.0ms
(* (* z 9.0) t)
120.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify689.0ms

Counts
66 → 66
Iterations
IterNodes
done2002
21150
1332
0119

prune399.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 8.3b

localize28.0ms

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))
6.5b
(/ (* x y) a)
7.0b
(/ (* t z) a)

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
23×add-cbrt-cube add-exp-log
13×add-sqr-sqrt
11×*-un-lft-identity add-cube-cbrt
9×times-frac
7×associate-*r*
6×pow1 cbrt-undiv associate-/r* div-exp prod-exp cbrt-unprod add-log-exp
5×associate-*r/
4×insert-posit16
3×associate-*l* div-inv
2×clear-num frac-2neg associate-/l*
1×sub-neg flip3-- diff-log pow-prod-down *-commutative frac-sub flip-- sub-div unswap-sqr
Counts
4 → 87
Calls
4 calls:
20.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
12.0ms
(* 4.5 (/ (* t z) a))
14.0ms
(/ (* x y) a)
11.0ms
(/ (* t z) a)

series235.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
38.0ms
(* 4.5 (/ (* t z) a))
30.0ms
(/ (* x y) a)
25.0ms
(/ (* t z) a)

simplify762.0ms

Counts
99 → 99
Iterations
IterNodes
done2045
21649
1405
0148

prune501.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.5 (* x (/ y a)))
0.2b
(* 4.5 (/ (* t z) a))
5.0b
(* x (/ y a))
7.0b
(/ (* t z) a)

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
32×add-cbrt-cube add-exp-log
25×add-sqr-sqrt
21×associate-*r*
18×*-un-lft-identity add-cube-cbrt
16×times-frac
13×pow1
12×prod-exp cbrt-unprod
9×associate-*l*
6×cbrt-undiv div-exp
5×pow-prod-down
4×associate-*r/ insert-posit16 add-log-exp
3×associate-/r* *-commutative div-inv unswap-sqr
1×clear-num frac-2neg associate-/l*
Counts
4 → 105
Calls
4 calls:
20.0ms
(* 0.5 (* x (/ y a)))
19.0ms
(* 4.5 (/ (* t z) a))
17.0ms
(* x (/ y a))
17.0ms
(/ (* t z) a)

series148.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* 0.5 (* x (/ y a)))
46.0ms
(* 4.5 (/ (* t z) a))
23.0ms
(* x (/ y a))
29.0ms
(/ (* t z) a)

simplify732.0ms

Counts
117 → 117
Iterations
IterNodes
done2000
21682
1443
0168

prune445.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
4.5b
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
5.0b
(* x (/ y a))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
38×times-frac
35×associate-*r*
30×add-exp-log
29×*-un-lft-identity add-cube-cbrt
23×add-cbrt-cube
17×cbrt-prod
10×associate-*l* prod-exp cbrt-unprod
8×pow1 cbrt-undiv div-exp unswap-sqr
4×insert-posit16 add-log-exp
3×div-inv
2×pow1/3 pow-prod-down associate-*r/ *-commutative
1×frac-times associate-*l/
Counts
4 → 117
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
27.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
9.0ms
(* x (/ y a))

series569.0ms

Counts
4 → 12
Calls
4 calls:
227.0ms
(cbrt a)
257.0ms
(cbrt a)
56.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
29.0ms
(* x (/ y a))

simplify459.0ms

Counts
129 → 129
Iterations
IterNodes
done2001
1605
0204

prune685.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0b

regimes1.3s

Accuracy

89.6% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 7.2b

bsearch2.0ms

simplify6.0ms

Iterations
IterNodes
done44
144
031

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.6s11190×body80valid