Details

Time bar (total: 34.3s)

sample397.0ms

Algorithm
intervals
Results
240.0ms1926×body80nan
28.0ms258×body80valid

simplify5.3s

Counts
1 → 1
Iterations
IterNodes
done5000
73467
61851
5984
4411
3155
261
127
015

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize26.0ms

Local error

Found 3 expressions with local error:

0.1b
(fma (- 0.5 a) (log t) t)
0.1b
(- (log z) (fma (- 0.5 a) (log t) t))
0.2b
(+ (- (log z) (fma (- 0.5 a) (log t) t)) (log (+ y x)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
41×*-un-lft-identity
26×add-sqr-sqrt
24×prod-diff
22×add-cube-cbrt
17×pow1 associate-+l+
14×log-pow
10×log-prod
8×distribute-lft-out--
7×distribute-lft-out
6×fma-def associate--l+ add-log-exp
4×associate-+r+ fma-neg
3×expm1-log1p-u add-cbrt-cube add-exp-log log1p-expm1-u
2×log-div associate-+r- sum-log sub-neg flip3-+ diff-log flip-+ fma-udef difference-of-squares
1×+-commutative flip3-- associate-+l- flip-- associate--r+
Counts
3 → 97
Calls
3 calls:
0.0ms
(fma (- 0.5 a) (log t) t)
12.0ms
(- (log z) (fma (- 0.5 a) (log t) t))
59.0ms
(+ (- (log z) (fma (- 0.5 a) (log t) t)) (log (+ y x)))

series281.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(fma (- 0.5 a) (log t) t)
101.0ms
(- (log z) (fma (- 0.5 a) (log t) t))
133.0ms
(+ (- (log z) (fma (- 0.5 a) (log t) t)) (log (+ y x)))

simplify2.4s

Counts
106 → 106
Iterations
IterNodes
done5000
34772
21347
1461
0180

prune764.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize57.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (- 0.5 a) (log t) t)
0.1b
(+ (+ (- (log z) (fma (- 0.5 a) (log t) t)) (log (sqrt (+ y x)))) (log (sqrt (+ y x))))
0.1b
(- (log z) (fma (- 0.5 a) (log t) t))
0.1b
(+ (- (log z) (fma (- 0.5 a) (log t) t)) (log (sqrt (+ y x))))

rewrite221.0ms

Algorithm
rewrite-expression-head
Rules
90×*-un-lft-identity
40×pow1 distribute-lft-out
36×log-pow
31×add-sqr-sqrt
27×add-cube-cbrt
24×prod-diff
20×log-prod distribute-lft-out--
18×associate-+l+
15×fma-def
14×associate-+r+
10×add-log-exp
8×sqrt-prod
7×sum-log
6×log-div associate-+r- sqrt-div associate--l+
5×flip3-+ associate-+l- flip-+
4×expm1-log1p-u add-cbrt-cube fma-neg add-exp-log log1p-expm1-u
3×diff-log
2×+-commutative sub-neg fma-udef difference-of-squares
1×flip3-- flip-- associate--r+
Counts
4 → 151
Calls
4 calls:
0.0ms
(fma (- 0.5 a) (log t) t)
166.0ms
(+ (+ (- (log z) (fma (- 0.5 a) (log t) t)) (log (sqrt (+ y x)))) (log (sqrt (+ y x))))
11.0ms
(- (log z) (fma (- 0.5 a) (log t) t))
36.0ms
(+ (- (log z) (fma (- 0.5 a) (log t) t)) (log (sqrt (+ y x))))

series497.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(fma (- 0.5 a) (log t) t)
182.0ms
(+ (+ (- (log z) (fma (- 0.5 a) (log t) t)) (log (sqrt (+ y x)))) (log (sqrt (+ y x))))
101.0ms
(- (log z) (fma (- 0.5 a) (log t) t))
171.0ms
(+ (- (log z) (fma (- 0.5 a) (log t) t)) (log (sqrt (+ y x))))

simplify2.0s

Counts
163 → 163
Iterations
IterNodes
done5002
21879
1608
0236

prune1.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 3 expressions with local error:

0.1b
(- (log (+ x y)) (fma (- 0.5 a) (log t) t))
0.1b
(fma (- 0.5 a) (log t) t)
0.2b
(+ (log z) (- (log (+ x y)) (fma (- 0.5 a) (log t) t)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
24×add-sqr-sqrt prod-diff
22×add-cube-cbrt
18×associate-+r+
17×pow1
14×log-pow
11×log-prod
8×associate--l+ distribute-lft-out
6×distribute-lft-out-- add-log-exp
4×fma-def fma-neg
3×expm1-log1p-u associate-+l+ add-cbrt-cube add-exp-log log1p-expm1-u
2×associate--l- log-div sum-log sub-neg flip3-+ diff-log flip-+ fma-udef
1×+-commutative associate-+r- flip3-- flip-- associate--r+ difference-of-squares
Counts
3 → 96
Calls
3 calls:
10.0ms
(- (log (+ x y)) (fma (- 0.5 a) (log t) t))
0.0ms
(fma (- 0.5 a) (log t) t)
30.0ms
(+ (log z) (- (log (+ x y)) (fma (- 0.5 a) (log t) t)))

series462.0ms

Counts
3 → 9
Calls
3 calls:
166.0ms
(- (log (+ x y)) (fma (- 0.5 a) (log t) t))
48.0ms
(fma (- 0.5 a) (log t) t)
247.0ms
(+ (log z) (- (log (+ x y)) (fma (- 0.5 a) (log t) t)))

simplify1.6s

Counts
105 → 105
Iterations
IterNodes
done5003
21305
1447
0185

prune832.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (log z) (fma (- 0.5 a) (log t) t))) (cbrt (- (log z) (fma (- 0.5 a) (log t) t))))
0.5b
(cbrt (- (log z) (fma (- 0.5 a) (log t) t)))
0.5b
(cbrt (- (log z) (fma (- 0.5 a) (log t) t)))
0.5b
(cbrt (- (log z) (fma (- 0.5 a) (log t) t)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
58×cbrt-prod
52×*-un-lft-identity
37×add-sqr-sqrt
22×pow1 distribute-lft-out--
18×cbrt-div
15×swap-sqr add-cube-cbrt
11×log-pow
9×flip3-- pow1/3 associate-*r* associate-*l* flip--
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 119
Calls
4 calls:
49.0ms
(* (cbrt (- (log z) (fma (- 0.5 a) (log t) t))) (cbrt (- (log z) (fma (- 0.5 a) (log t) t))))
4.0ms
(cbrt (- (log z) (fma (- 0.5 a) (log t) t)))
4.0ms
(cbrt (- (log z) (fma (- 0.5 a) (log t) t)))
4.0ms
(cbrt (- (log z) (fma (- 0.5 a) (log t) t)))

series2.2s

Counts
4 → 12
Calls
4 calls:
633.0ms
(* (cbrt (- (log z) (fma (- 0.5 a) (log t) t))) (cbrt (- (log z) (fma (- 0.5 a) (log t) t))))
501.0ms
(cbrt (- (log z) (fma (- 0.5 a) (log t) t)))
589.0ms
(cbrt (- (log z) (fma (- 0.5 a) (log t) t)))
476.0ms
(cbrt (- (log z) (fma (- 0.5 a) (log t) t)))

simplify3.4s

Counts
131 → 131
Iterations
IterNodes
done5000
23072
1832
0282

prune1.1s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes1.1s

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done16
116
014

end0.0ms

sample10.1s

Algorithm
intervals
Results
6.6s56608×body80nan
853.0ms8027×body80valid