Details

Time bar (total: 41.6s)

sample308.0ms

Algorithm
intervals
Results
183.0ms1744×body80nan
23.0ms257×body80valid

simplify5.1s

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

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize33.0ms

Local error

Found 3 expressions with local error:

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

rewrite85.0ms

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:
8.0ms
(- (log z) (fma (- 0.5 a) (log t) t))
0.0ms
(fma (- 0.5 a) (log t) t)
73.0ms
(+ (- (log z) (fma (- 0.5 a) (log t) t)) (log (+ y x)))

series326.0ms

Counts
3 → 9
Calls
3 calls:
107.0ms
(- (log z) (fma (- 0.5 a) (log t) t))
56.0ms
(fma (- 0.5 a) (log t) t)
163.0ms
(+ (- (log z) (fma (- 0.5 a) (log t) t)) (log (+ y x)))

simplify2.7s

Counts
106 → 106
Iterations
IterNodes
done5000
34741
21345
1461
0180

prune786.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize69.0ms

Local error

Found 4 expressions with local error:

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

rewrite252.0ms

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-+ log1p-expm1-u
3×diff-log
2×+-commutative sub-neg associate-+l- fma-udef difference-of-squares
1×flip3-- flip-- associate--r+
Counts
4 → 162
Calls
4 calls:
21.0ms
(- (log (sqrt z)) (fma (- 0.5 a) (log t) t))
158.0ms
(+ (log (sqrt z)) (+ (- (log (sqrt z)) (fma (- 0.5 a) (log t) t)) (log (+ y x))))
65.0ms
(+ (- (log (sqrt z)) (fma (- 0.5 a) (log t) t)) (log (+ y x)))
1.0ms
(fma (- 0.5 a) (log t) t)

series741.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(- (log (sqrt z)) (fma (- 0.5 a) (log t) t))
287.0ms
(+ (log (sqrt z)) (+ (- (log (sqrt z)) (fma (- 0.5 a) (log t) t)) (log (+ y x))))
246.0ms
(+ (- (log (sqrt z)) (fma (- 0.5 a) (log t) t)) (log (+ y x)))
40.0ms
(fma (- 0.5 a) (log t) t)

simplify2.1s

Counts
174 → 174
Iterations
IterNodes
done5000
21988
1609
0228

prune1.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
15.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.1s

Counts
4 → 12
Calls
4 calls:
298.0ms
(* (cbrt z) (cbrt z))
242.0ms
(cbrt z)
260.0ms
(cbrt z)
268.0ms
(cbrt z)

simplify3.9s

Counts
93 → 93
Iterations
IterNodes
done5001
44322
31076
2382
1140
065

prune871.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize61.0ms

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)))

rewrite72.0ms

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:
55.0ms
(* (cbrt (- (log z) (fma (- 0.5 a) (log t) t))) (cbrt (- (log z) (fma (- 0.5 a) (log t) t))))
5.0ms
(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)))

series2.4s

Counts
4 → 12
Calls
4 calls:
639.0ms
(* (cbrt (- (log z) (fma (- 0.5 a) (log t) t))) (cbrt (- (log z) (fma (- 0.5 a) (log t) t))))
556.0ms
(cbrt (- (log z) (fma (- 0.5 a) (log t) t)))
552.0ms
(cbrt (- (log z) (fma (- 0.5 a) (log t) t)))
615.0ms
(cbrt (- (log z) (fma (- 0.5 a) (log t) t)))

simplify4.0s

Counts
131 → 131
Iterations
IterNodes
done5000
23072
1832
0282

prune1.3s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.1b

regimes1.4s

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done21
121
018

end0.0ms

sample12.5s

Algorithm
intervals
Results
7.9s56797×body80nan
1.4s8038×body80valid