Details

Time bar (total: 38.2s)

sample299.0ms

Algorithm
intervals
Results
182.0ms1926×body80nan
21.0ms258×body80valid

simplify4.5s

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

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize25.0ms

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)))

rewrite79.0ms

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)
8.0ms
(- (log z) (fma (- 0.5 a) (log t) t))
67.0ms
(+ (- (log z) (fma (- 0.5 a) (log t) t)) (log (+ y x)))

series313.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(fma (- 0.5 a) (log t) t)
106.0ms
(- (log z) (fma (- 0.5 a) (log t) t))
156.0ms
(+ (- (log z) (fma (- 0.5 a) (log t) t)) (log (+ y x)))

simplify2.8s

Counts
106 → 106
Iterations
IterNodes
done5000
34772
21347
1461
0180

prune1.0s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize65.0ms

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))))

rewrite284.0ms

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)
210.0ms
(+ (+ (- (log z) (fma (- 0.5 a) (log t) t)) (log (sqrt (+ y x)))) (log (sqrt (+ y x))))
10.0ms
(- (log z) (fma (- 0.5 a) (log t) t))
58.0ms
(+ (- (log z) (fma (- 0.5 a) (log t) t)) (log (sqrt (+ y x))))

series658.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(fma (- 0.5 a) (log t) t)
260.0ms
(+ (+ (- (log z) (fma (- 0.5 a) (log t) t)) (log (sqrt (+ y x)))) (log (sqrt (+ y x))))
127.0ms
(- (log z) (fma (- 0.5 a) (log t) t))
225.0ms
(+ (- (log z) (fma (- 0.5 a) (log t) t)) (log (sqrt (+ y x))))

simplify2.2s

Counts
163 → 163
Iterations
IterNodes
done5002
21879
1608
0236

prune1.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity
48×prod-diff
43×add-sqr-sqrt
31×add-cube-cbrt
26×pow1
23×log-pow
21×associate--r+
20×distribute-lft-out--
7×log-prod fma-neg
6×add-log-exp difference-of-squares
5×associate--l+ associate--r-
4×log-div diff-log
3×expm1-log1p-u sub-neg add-cbrt-cube add-exp-log fma-udef log1p-expm1-u
2×flip3-+ flip3-- flip-+ flip--
1×distribute-lft-out
Counts
3 → 120
Calls
3 calls:
18.0ms
(- (fma (- 0.5 a) (log t) t) (log (+ y x)))
0.0ms
(fma (- 0.5 a) (log t) t)
39.0ms
(- (log z) (- (fma (- 0.5 a) (log t) t) (log (+ y x))))

series324.0ms

Counts
3 → 9
Calls
3 calls:
95.0ms
(- (fma (- 0.5 a) (log t) t) (log (+ y x)))
58.0ms
(fma (- 0.5 a) (log t) t)
171.0ms
(- (log z) (- (fma (- 0.5 a) (log t) t) (log (+ y x))))

simplify2.3s

Counts
129 → 129
Iterations
IterNodes
done5001
21423
1544
0216

prune1.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize57.0ms

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)))

rewrite63.0ms

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:
46.0ms
(* (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)))
5.0ms
(cbrt (- (log z) (fma (- 0.5 a) (log t) t)))
4.0ms
(cbrt (- (log z) (fma (- 0.5 a) (log t) t)))

series2.5s

Counts
4 → 12
Calls
4 calls:
697.0ms
(* (cbrt (- (log z) (fma (- 0.5 a) (log t) t))) (cbrt (- (log z) (fma (- 0.5 a) (log t) t))))
578.0ms
(cbrt (- (log z) (fma (- 0.5 a) (log t) t)))
589.0ms
(cbrt (- (log z) (fma (- 0.5 a) (log t) t)))
637.0ms
(cbrt (- (log z) (fma (- 0.5 a) (log t) t)))

simplify3.8s

Counts
131 → 131
Iterations
IterNodes
done5000
23072
1832
0282

prune1.3s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes1.3s

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
done15
115
014

end0.0ms

sample11.7s

Algorithm
intervals
Results
7.7s56608×body80nan
1.0s8027×body80valid