Details

Time bar (total: 39.6s)

sample396.0ms

Algorithm
intervals
Results
230.0ms1721×body80nan
73.0ms259×body80valid

simplify3.7s

Counts
1 → 1
Iterations
IterNodes
73522
61815
5983
4411
3155
261
127
015

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize55.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
24×add-sqr-sqrt prod-diff
22×add-cube-cbrt
17×pow1 associate-+r+
14×log-pow
10×log-prod
7×distribute-lft-out
6×associate--l+ distribute-lft-out-- add-log-exp
4×associate-+l+ fma-def fma-neg
3×expm1-log1p-u add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
2×log-div sum-log sub-neg flip3-+ diff-log associate-+l- flip-+ fma-udef
1×+-commutative associate-+r- flip3-- flip-- associate--r+ difference-of-squares
Counts
3 → 98
Calls
3 calls:
18.0ms
(+ (log (+ y x)) (- (log z) (fma (- 0.5 a) (log t) t)))
7.0ms
(- (log z) (fma (- 0.5 a) (log t) t))
0.0ms
(fma (- 0.5 a) (log t) t)

series379.0ms

Counts
3 → 9
Calls
3 calls:
230.0ms
(+ (log (+ y x)) (- (log z) (fma (- 0.5 a) (log t) t)))
114.0ms
(- (log z) (fma (- 0.5 a) (log t) t))
35.0ms
(fma (- 0.5 a) (log t) t)

simplify1.9s

Counts
107 → 107
Iterations
IterNodes
35054
21287
1454
0189

prune1.7s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize80.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (- 0.5 a) (log t) t))
0.5b
(cbrt (fma (- 0.5 a) (log t) t))
0.5b
(cbrt (fma (- 0.5 a) (log t) t))
62.4b
(fma (- (cbrt (fma (- 0.5 a) (log t) t))) (* (cbrt (fma (- 0.5 a) (log t) t)) (cbrt (fma (- 0.5 a) (log t) t))) (* (cbrt (fma (- 0.5 a) (log t) t)) (* (cbrt (fma (- 0.5 a) (log t) t)) (cbrt (fma (- 0.5 a) (log t) t)))))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt (fma (- 0.5 a) (log t) t))
1.0ms
(cbrt (fma (- 0.5 a) (log t) t))
1.0ms
(cbrt (fma (- 0.5 a) (log t) t))
1.0ms
(fma (- (cbrt (fma (- 0.5 a) (log t) t))) (* (cbrt (fma (- 0.5 a) (log t) t)) (cbrt (fma (- 0.5 a) (log t) t))) (* (cbrt (fma (- 0.5 a) (log t) t)) (* (cbrt (fma (- 0.5 a) (log t) t)) (cbrt (fma (- 0.5 a) (log t) t)))))

series892.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(cbrt (fma (- 0.5 a) (log t) t))
189.0ms
(cbrt (fma (- 0.5 a) (log t) t))
239.0ms
(cbrt (fma (- 0.5 a) (log t) t))
267.0ms
(fma (- (cbrt (fma (- 0.5 a) (log t) t))) (* (cbrt (fma (- 0.5 a) (log t) t)) (cbrt (fma (- 0.5 a) (log t) t))) (* (cbrt (fma (- 0.5 a) (log t) t)) (* (cbrt (fma (- 0.5 a) (log t) t)) (cbrt (fma (- 0.5 a) (log t) t)))))

simplify828.0ms

Counts
65 → 65
Iterations
IterNodes
32096
2688
1264
0115

prune1.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize62.0ms

Local error

Found 4 expressions with local error:

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

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
76×*-un-lft-identity
38×pow1
36×log-pow
34×distribute-lft-out
29×add-sqr-sqrt
27×add-cube-cbrt
24×prod-diff
20×log-prod
18×associate-+r+
14×associate-+l+ distribute-lft-out--
12×fma-def
10×add-log-exp
8×sqrt-prod
7×sum-log
6×log-div sqrt-div associate--l+ associate-+l-
5×associate-+r- flip3-+ flip-+
4×expm1-log1p-u add-cbrt-cube fma-neg add-exp-log insert-posit16 log1p-expm1-u
3×diff-log
2×+-commutative sub-neg sqrt-pow1 pow1/2 fma-udef
1×flip3-- flip-- associate--r+ difference-of-squares
Counts
4 → 152
Calls
4 calls:
102.0ms
(+ (log (sqrt (+ y x))) (+ (log (sqrt (+ y x))) (- (log z) (fma (- 0.5 a) (log t) t))))
40.0ms
(+ (log (sqrt (+ y x))) (- (log z) (fma (- 0.5 a) (log t) t)))
15.0ms
(- (log z) (fma (- 0.5 a) (log t) t))
1.0ms
(fma (- 0.5 a) (log t) t)

series1.2s

Counts
4 → 12
Calls
4 calls:
715.0ms
(+ (log (sqrt (+ y x))) (+ (log (sqrt (+ y x))) (- (log z) (fma (- 0.5 a) (log t) t))))
312.0ms
(+ (log (sqrt (+ y x))) (- (log z) (fma (- 0.5 a) (log t) t)))
104.0ms
(- (log z) (fma (- 0.5 a) (log t) t))
39.0ms
(fma (- 0.5 a) (log t) t)

simplify3.8s

Counts
164 → 164
Iterations
IterNodes
38137
21928
1611
0242

prune2.8s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.1b

localize117.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (- 0.5 a) (log t) t))
0.6b
(cbrt (cbrt (fma (- 0.5 a) (log t) t)))
0.6b
(cbrt (* (cbrt (fma (- 0.5 a) (log t) t)) (cbrt (fma (- 0.5 a) (log t) t))))
62.2b
(fma (- (cbrt (fma (- 0.5 a) (log t) t))) (* (cbrt (fma (- 0.5 a) (log t) t)) (cbrt (fma (- 0.5 a) (log t) t))) (* (* (cbrt (* (cbrt (fma (- 0.5 a) (log t) t)) (cbrt (fma (- 0.5 a) (log t) t)))) (cbrt (cbrt (fma (- 0.5 a) (log t) t)))) (* (cbrt (fma (- 0.5 a) (log t) t)) (cbrt (fma (- 0.5 a) (log t) t)))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 54
Calls
4 calls:
1.0ms
(cbrt (fma (- 0.5 a) (log t) t))
2.0ms
(cbrt (cbrt (fma (- 0.5 a) (log t) t)))
8.0ms
(cbrt (* (cbrt (fma (- 0.5 a) (log t) t)) (cbrt (fma (- 0.5 a) (log t) t))))
1.0ms
(fma (- (cbrt (fma (- 0.5 a) (log t) t))) (* (cbrt (fma (- 0.5 a) (log t) t)) (cbrt (fma (- 0.5 a) (log t) t))) (* (* (cbrt (* (cbrt (fma (- 0.5 a) (log t) t)) (cbrt (fma (- 0.5 a) (log t) t)))) (cbrt (cbrt (fma (- 0.5 a) (log t) t)))) (* (cbrt (fma (- 0.5 a) (log t) t)) (cbrt (fma (- 0.5 a) (log t) t)))))

series1.0s

Counts
4 → 12
Calls
4 calls:
263.0ms
(cbrt (fma (- 0.5 a) (log t) t))
246.0ms
(cbrt (cbrt (fma (- 0.5 a) (log t) t)))
238.0ms
(cbrt (* (cbrt (fma (- 0.5 a) (log t) t)) (cbrt (fma (- 0.5 a) (log t) t))))
281.0ms
(fma (- (cbrt (fma (- 0.5 a) (log t) t))) (* (cbrt (fma (- 0.5 a) (log t) t)) (cbrt (fma (- 0.5 a) (log t) t))) (* (* (cbrt (* (cbrt (fma (- 0.5 a) (log t) t)) (cbrt (fma (- 0.5 a) (log t) t)))) (cbrt (cbrt (fma (- 0.5 a) (log t) t)))) (* (cbrt (fma (- 0.5 a) (log t) t)) (cbrt (fma (- 0.5 a) (log t) t)))))

simplify2.1s

Counts
66 → 66
Iterations
IterNodes
33589
21199
1467
0205

prune1.5s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes764.0ms

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
219
119
016

end0.0ms

sample15.0s

Algorithm
intervals
Results
10.4s57853×body80nan
1.4s8041×body80valid