Details

Time bar (total: 23.3s)

sample71.0ms

Algorithm
intervals
Results
32.0ms411×body80valid

simplify3.0s

Counts
1 → 1
Iterations
IterNodes
done5001
52653
4985
3320
2100
138
018

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t))
0.4b
(fma (* x 9.0) y b)
2.9b
(/ (fma (* x 9.0) y b) z)
12.0b
(/ (- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t)) c)

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
34×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×fma-neg prod-diff
8×add-cbrt-cube add-exp-log
6×associate-/r* associate-/l* add-log-exp
4×expm1-log1p-u pow1 log1p-expm1-u div-inv
2×cbrt-undiv clear-num frac-2neg flip3-- div-exp flip-- associate-/l/
1×sub-neg diff-log div-sub fma-udef
Counts
4 → 111
Calls
4 calls:
24.0ms
(- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t))
0.0ms
(fma (* x 9.0) y b)
13.0ms
(/ (fma (* x 9.0) y b) z)
48.0ms
(/ (- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t)) c)

series550.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t))
45.0ms
(fma (* x 9.0) y b)
99.0ms
(/ (fma (* x 9.0) y b) z)
211.0ms
(/ (- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t)) c)

simplify1.6s

Counts
123 → 123
Iterations
IterNodes
done5001
21674
1388
0170

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 8.1b

localize39.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 9.0 (/ (* x y) (* z c)))
5.2b
(/ b (* z c))
5.4b
(/ (* t a) c)
10.1b
(/ (* x y) (* z c))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
44×add-cbrt-cube add-exp-log
15×prod-exp cbrt-unprod
12×add-sqr-sqrt cbrt-undiv div-exp
10×*-un-lft-identity add-cube-cbrt
8×times-frac
6×pow1
5×associate-/r* associate-*r* associate-/l*
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×clear-num frac-2neg associate-*l*
1×pow-prod-down associate-*r/ *-commutative unswap-sqr
Counts
4 → 100
Calls
4 calls:
34.0ms
(* 9.0 (/ (* x y) (* z c)))
11.0ms
(/ b (* z c))
11.0ms
(/ (* t a) c)
11.0ms
(/ (* x y) (* z c))

series176.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* 9.0 (/ (* x y) (* z c)))
42.0ms
(/ b (* z c))
23.0ms
(/ (* t a) c)
48.0ms
(/ (* x y) (* z c))

simplify1.9s

Counts
112 → 112
Iterations
IterNodes
done5000
22482
1439
0168

prune956.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt c)
4.2b
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
5.2b
(/ b (* z c))
10.1b
(/ (* x y) (* z c))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
42×add-exp-log
38×add-sqr-sqrt
35×add-cbrt-cube
32×times-frac
22×*-un-lft-identity associate-*r* add-cube-cbrt
14×cbrt-prod
13×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
6×pow1 unswap-sqr
4×expm1-log1p-u log1p-expm1-u div-inv associate-/l* add-log-exp
2×clear-num associate-/r* frac-2neg
1×frac-times pow1/3 pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 120
Calls
4 calls:
1.0ms
(cbrt c)
64.0ms
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
13.0ms
(/ b (* z c))
19.0ms
(/ (* x y) (* z c))

series497.0ms

Counts
4 → 12
Calls
4 calls:
309.0ms
(cbrt c)
86.0ms
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
41.0ms
(/ b (* z c))
61.0ms
(/ (* x y) (* z c))

simplify2.4s

Counts
132 → 132
Iterations
IterNodes
done5000
24170
1672
0229

prune1.3s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

localize93.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
1.0b
(* (/ (* (cbrt t) (cbrt t)) (cbrt c)) (* (/ (cbrt t) (cbrt c)) (/ a (cbrt c))))
5.2b
(/ b (* z c))
10.1b
(/ (* x y) (* z c))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
90×add-exp-log
52×add-cbrt-cube
37×prod-exp cbrt-unprod
28×cbrt-undiv div-exp
10×add-sqr-sqrt *-un-lft-identity times-frac associate-*l* add-cube-cbrt
9×pow1
6×cbrt-prod
5×frac-times associate-*r/
4×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp
3×pow-prod-down associate-*l/ div-inv
2×clear-num associate-/r* frac-2neg
1×pow1/3 associate-*r* *-commutative
Counts
4 → 119
Calls
4 calls:
1.0ms
(cbrt t)
79.0ms
(* (/ (* (cbrt t) (cbrt t)) (cbrt c)) (* (/ (cbrt t) (cbrt c)) (/ a (cbrt c))))
7.0ms
(/ b (* z c))
11.0ms
(/ (* x y) (* z c))

series423.0ms

Counts
4 → 12
Calls
4 calls:
314.0ms
(cbrt t)
28.0ms
(* (/ (* (cbrt t) (cbrt t)) (cbrt c)) (* (/ (cbrt t) (cbrt c)) (/ a (cbrt c))))
35.0ms
(/ b (* z c))
46.0ms
(/ (* x y) (* z c))

simplify2.1s

Counts
131 → 131
Iterations
IterNodes
done5002
23888
1686
0227

prune1.1s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.0b

regimes2.6s

Accuracy

37% (5.6b remaining)

Error of 6.0b against oracle of 0.4b and baseline of 9.3b

bsearch3.0ms

simplify18.0ms

Iterations
IterNodes
done59
159
042

end0.0ms

sample2.8s

Algorithm
intervals
Results
2.0s12777×body80valid