Details

Time bar (total: 39.5s)

sample341.0ms

Algorithm
intervals
Results
227.0ms1550×body80nan
35.0ms256×body80valid

simplify4.9s

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

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize28.0ms

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

rewrite72.0ms

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 insert-posit16 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 → 100
Calls
3 calls:
0.0ms
(fma (- 0.5 a) (log t) t)
8.0ms
(- (log z) (fma (- 0.5 a) (log t) t))
63.0ms
(+ (- (log z) (fma (- 0.5 a) (log t) t)) (log (+ y x)))

series284.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(fma (- 0.5 a) (log t) t)
105.0ms
(- (log z) (fma (- 0.5 a) (log t) t))
140.0ms
(+ (- (log z) (fma (- 0.5 a) (log t) t)) (log (+ y x)))

simplify3.0s

Counts
109 → 109
Iterations
IterNodes
done5000
34681
21347
1464
0183

prune733.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
82×*-un-lft-identity
48×log-pow
44×pow1
36×add-sqr-sqrt prod-diff
33×distribute-lft-out
32×associate-+l+ add-cube-cbrt
22×log-prod
16×distribute-lft-out--
12×fma-def associate--l+
10×add-log-exp
9×sqrt-prod
8×sqrt-pow1 pow1/2
7×associate-+r- sum-log
6×fma-neg
5×associate-+r+
4×expm1-log1p-u log-div flip3-+ add-cbrt-cube add-exp-log flip-+ insert-posit16 log1p-expm1-u
3×diff-log
2×+-commutative sub-neg associate-+l- fma-udef difference-of-squares
1×flip3-- flip-- associate--r+
Counts
4 → 166
Calls
4 calls:
40.0ms
(+ (- (log (sqrt z)) (fma (- 0.5 a) (log t) t)) (log (+ y x)))
92.0ms
(+ (log (sqrt z)) (+ (- (log (sqrt z)) (fma (- 0.5 a) (log t) t)) (log (+ y x))))
0.0ms
(fma (- 0.5 a) (log t) t)
11.0ms
(- (log (sqrt z)) (fma (- 0.5 a) (log t) t))

series724.0ms

Counts
4 → 12
Calls
4 calls:
241.0ms
(+ (- (log (sqrt z)) (fma (- 0.5 a) (log t) t)) (log (+ y x)))
277.0ms
(+ (log (sqrt z)) (+ (- (log (sqrt z)) (fma (- 0.5 a) (log t) t)) (log (+ y x))))
48.0ms
(fma (- 0.5 a) (log t) t)
158.0ms
(- (log (sqrt z)) (fma (- 0.5 a) (log t) t))

simplify2.3s

Counts
178 → 178
Iterations
IterNodes
done5002
22000
1614
0232

prune1.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize109.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sqrt z)) (cbrt (sqrt z)))
0.6b
(cbrt (sqrt z))
0.6b
(cbrt (sqrt z))
0.6b
(cbrt (sqrt z))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
58×cbrt-prod
44×add-sqr-sqrt
29×sqrt-prod
22×*-un-lft-identity add-cube-cbrt
11×pow1 swap-sqr
9×pow1/3 associate-*r* associate-*l* unswap-sqr
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 110
Calls
4 calls:
21.0ms
(* (cbrt (sqrt z)) (cbrt (sqrt z)))
2.0ms
(cbrt (sqrt z))
3.0ms
(cbrt (sqrt z))
3.0ms
(cbrt (sqrt z))

series1.2s

Counts
4 → 12
Calls
4 calls:
309.0ms
(* (cbrt (sqrt z)) (cbrt (sqrt z)))
281.0ms
(cbrt (sqrt z))
325.0ms
(cbrt (sqrt z))
265.0ms
(cbrt (sqrt z))

simplify3.4s

Counts
122 → 122
Iterations
IterNodes
done5001
44032
31158
2439
1175
084

prune1.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize61.0ms

Local error

Found 4 expressions with local error:

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

rewrite337.0ms

Algorithm
rewrite-expression-head
Rules
90×*-un-lft-identity
82×distribute-lft-out
59×pow1
52×log-pow
23×sqrt-prod
16×distribute-lft-out--
15×add-sqr-sqrt
11×add-cube-cbrt
9×sum-log sqrt-pow1
8×associate-+r- add-log-exp
6×associate-+l+ log-prod fma-def
5×pow1/2
4×expm1-log1p-u rem-sqrt-square add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
2×log-div flip3-+ flip-+
1×+-commutative associate-+r+ diff-log associate-+l- fma-udef
Counts
4 → 118
Calls
4 calls:
330.0ms
(+ (log (sqrt z)) (+ (log (sqrt (sqrt z))) (+ (- (log (sqrt (sqrt z))) (fma (- 0.5 a) (log t) t)) (log (+ y x)))))
0.0ms
(fma (- 0.5 a) (log t) t)
2.0ms
(sqrt (sqrt z))
2.0ms
(sqrt (sqrt z))

series1.0s

Counts
4 → 12
Calls
4 calls:
535.0ms
(+ (log (sqrt z)) (+ (log (sqrt (sqrt z))) (+ (- (log (sqrt (sqrt z))) (fma (- 0.5 a) (log t) t)) (log (+ y x)))))
40.0ms
(fma (- 0.5 a) (log t) t)
237.0ms
(sqrt (sqrt z))
219.0ms
(sqrt (sqrt z))

simplify2.2s

Counts
130 → 130
Iterations
IterNodes
done5002
21715
1500
0189

prune948.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.1b

regimes1.5s

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done25
125
021

end0.0ms

sample13.8s

Algorithm
intervals
Results
9.3s55732×body80nan
1.7s8028×body80valid