Details

Time bar (total: 20.8s)

sample68.0ms

Algorithm
intervals
Results
31.0ms427×body80valid

simplify3.0s

Counts
1 → 1
Iterations

Useful iterations: done (3.0s)

IterNodesCost
018369
138369
2100369
3320359
4985344
52653344
done5001304

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.4b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (* x 9.0) y b)
0.3b
(- (/ (fma (* x 9.0) y b) z) (* (* 4.0 t) a))
2.7b
(/ (fma (* x 9.0) y b) z)
11.1b
(/ (- (/ (fma (* x 9.0) y b) z) (* (* 4.0 t) a)) c)

rewrite102.0ms

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:
1.0ms
(fma (* x 9.0) y b)
27.0ms
(- (/ (fma (* x 9.0) y b) z) (* (* 4.0 t) a))
8.0ms
(/ (fma (* x 9.0) y b) z)
62.0ms
(/ (- (/ (fma (* x 9.0) y b) z) (* (* 4.0 t) a)) c)

series611.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(fma (* x 9.0) y b)
266.0ms
(- (/ (fma (* x 9.0) y b) z) (* (* 4.0 t) a))
98.0ms
(/ (fma (* x 9.0) y b) z)
204.0ms
(/ (- (/ (fma (* x 9.0) y b) z) (* (* 4.0 t) a)) c)

simplify1.6s

Counts
123 → 123
Iterations

Useful iterations: done (1.6s)

IterNodesCost
017041037
138939553
2163138826
done500138583

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.2b

localize49.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma 9.0 (/ (* x y) (* z c)) (/ b (* z c)))
4.5b
(/ (* a t) c)
5.6b
(/ b (* z c))
11.4b
(/ (* x y) (* z c))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
26×add-cbrt-cube add-exp-log
8×add-sqr-sqrt cbrt-undiv *-un-lft-identity div-exp add-cube-cbrt
7×times-frac
6×prod-exp cbrt-unprod
5×associate-/r* associate-/l*
4×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
3×clear-num frac-2neg div-inv
1×fma-udef
Counts
4 → 79
Calls
4 calls:
1.0ms
(fma 9.0 (/ (* x y) (* z c)) (/ b (* z c)))
14.0ms
(/ (* a t) c)
11.0ms
(/ b (* z c))
19.0ms
(/ (* x y) (* z c))

series278.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(fma 9.0 (/ (* x y) (* z c)) (/ b (* z c)))
32.0ms
(/ (* a t) c)
47.0ms
(/ b (* z c))
66.0ms
(/ (* x y) (* z c))

simplify1.5s

Counts
91 → 91
Iterations

Useful iterations: done (1.5s)

IterNodesCost
014717052
135915915
2190314915
done500014795

prune747.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

4.5b
(/ (* a t) c)
4.8b
(/ x (/ (* z c) y))
5.6b
(/ b (* z c))
5.6b
(/ (* z c) y)

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
28×add-cbrt-cube add-exp-log
26×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
14×associate-/r*
11×cbrt-undiv div-exp
8×div-inv associate-/l*
4×expm1-log1p-u pow1 clear-num frac-2neg prod-exp cbrt-unprod log1p-expm1-u add-log-exp
1×associate-/r/
Counts
4 → 119
Calls
4 calls:
13.0ms
(/ (* a t) c)
15.0ms
(/ x (/ (* z c) y))
12.0ms
(/ b (* z c))
9.0ms
(/ (* z c) y)

series529.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ (* a t) c)
45.0ms
(/ x (/ (* z c) y))
420.0ms
(/ b (* z c))
27.0ms
(/ (* z c) y)

simplify1.4s

Counts
131 → 131
Iterations

Useful iterations: done (1.4s)

IterNodesCost
020625695
151624115
2264523392
done500022792

prune1.3s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

4.8b
(/ x (/ (* z c) y))
5.6b
(/ b (* z c))
5.6b
(/ (* z c) y)
5.7b
(* a (/ t c))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
49×times-frac
37×add-sqr-sqrt
32×*-un-lft-identity add-cube-cbrt
28×add-cbrt-cube add-exp-log
13×associate-*r*
11×associate-/r*
10×cbrt-undiv div-exp
8×div-inv
7×associate-/l*
6×pow1
5×prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×clear-num frac-2neg associate-*l*
2×unswap-sqr
1×pow-prod-down associate-*r/ associate-/r/ *-commutative
Counts
4 → 130
Calls
4 calls:
8.0ms
(/ x (/ (* z c) y))
6.0ms
(/ b (* z c))
14.0ms
(/ (* z c) y)
11.0ms
(* a (/ t c))

series117.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ x (/ (* z c) y))
29.0ms
(/ b (* z c))
24.0ms
(/ (* z c) y)
24.0ms
(* a (/ t c))

simplify1.5s

Counts
142 → 142
Iterations

Useful iterations: done (1.5s)

IterNodesCost
022527806
156926064
2269625259
done500124819

prune1.2s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

regimes2.6s

Accuracy

32.5% (5.2b remaining)

Error of 5.3b against oracle of 0.1b and baseline of 7.7b

bsearch3.0ms

simplify16.0ms

Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
0441502
1611502
done611502

end0.0ms

sample2.7s

Algorithm
intervals
Results
2.0s12813×body80valid