Details

Time bar (total: 15.3s)

sample64.0ms

Algorithm
intervals
Results
40.0ms377×body80valid

simplify3.3s

Counts
1 → 1
Iterations
IterNodes
done1597
81597
71569
61531
51250
4720
3283
288
127
013

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.7b

localize19.0ms

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))

rewrite54.0ms

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×expm1-log1p-u times-frac associate-*r* pow-prod-down insert-posit16 log1p-expm1-u associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×clear-num associate-/r* sub-neg frac-2neg fma-neg diff-log div-sub associate-*l* prod-diff *-commutative div-inv
Counts
3 → 65
Calls
3 calls:
8.0ms
(- (* x y) (* (* z 9.0) t))
18.0ms
(* (* z 9.0) t)
27.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series238.0ms

Counts
3 → 9
Calls
3 calls:
96.0ms
(- (* x y) (* (* z 9.0) t))
25.0ms
(* (* z 9.0) t)
117.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify807.0ms

Counts
74 → 74
Iterations
IterNodes
done2012
21260
1355
0130

prune453.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 8.3b

localize40.0ms

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)

rewrite57.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u
3×associate-*l* div-inv
2×clear-num frac-2neg associate-/l*
1×sub-neg flip3-- fma-neg diff-log prod-diff pow-prod-down *-commutative frac-sub flip-- sub-div unswap-sqr
Counts
4 → 97
Calls
4 calls:
14.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
13.0ms
(* 4.5 (/ (* t z) a))
14.0ms
(/ (* x y) a)
15.0ms
(/ (* t z) a)

series337.0ms

Counts
4 → 12
Calls
4 calls:
229.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
58.0ms
(* 4.5 (/ (* t z) a))
24.0ms
(/ (* x y) a)
25.0ms
(/ (* t z) a)

simplify880.0ms

Counts
109 → 109
Iterations
IterNodes
done2001
21755
1436
0161

prune662.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

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)

rewrite95.0ms

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×expm1-log1p-u associate-*r/ insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* *-commutative div-inv unswap-sqr
1×clear-num frac-2neg associate-/l*
Counts
4 → 113
Calls
4 calls:
23.0ms
(* 0.5 (* x (/ y a)))
34.0ms
(* 4.5 (/ (* t z) a))
18.0ms
(* x (/ y a))
17.0ms
(/ (* t z) a)

series149.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* 0.5 (* x (/ y a)))
46.0ms
(* 4.5 (/ (* t z) a))
38.0ms
(* x (/ y a))
28.0ms
(/ (* t z) a)

simplify885.0ms

Counts
125 → 125
Iterations
IterNodes
done2001
21742
1451
0176

prune770.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0b

localize48.0ms

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))

rewrite80.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×div-inv
2×pow1/3 pow-prod-down associate-*r/ *-commutative
1×frac-times associate-*l/
Counts
4 → 125
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
56.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
18.0ms
(* x (/ y a))

series686.0ms

Counts
4 → 12
Calls
4 calls:
254.0ms
(cbrt a)
318.0ms
(cbrt a)
86.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
27.0ms
(* x (/ y a))

simplify631.0ms

Counts
137 → 137
Iterations
IterNodes
done2000
1620
0210

prune849.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0b

regimes1.6s

Accuracy

89.6% (0.7b remaining)

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

bsearch3.0ms

simplify11.0ms

Iterations
IterNodes
done44
144
031

end0.0ms

sample2.5s

Algorithm
intervals
Results
2.0s11190×body80valid