Details

Time bar (total: 28.4s)

sample139.0ms

Algorithm
intervals
Results
41.0ms292×body80nan
31.0ms294×body80valid

simplify8.8s

Counts
1 → 1
Iterations

Useful iterations: 5 (1.5s)

IterNodesCost
01516
13016
28815
327615
477615
5210614
6482714
done500014

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (- a 0.5) b (+ x y))
0.0b
(- 1 (log t))
0.1b
(fma z (- 1 (log t)) (fma (- a 0.5) b (+ x y)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
15×add-sqr-sqrt
12×add-cube-cbrt prod-diff
7×pow1
4×log-pow add-log-exp
3×add-exp-log expm1-log1p-u log-prod fma-neg add-cbrt-cube log1p-expm1-u associate--r+
2×fma-udef distribute-lft-out-- difference-of-squares
1×sub-neg flip3-- diff-log flip--
Counts
3 → 56
Calls
3 calls:
1.0ms
(fma (- a 0.5) b (+ x y))
12.0ms
(- 1 (log t))
0.0ms
(fma z (- 1 (log t)) (fma (- a 0.5) b (+ x y)))

series660.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(fma (- a 0.5) b (+ x y))
217.0ms
(- 1 (log t))
355.0ms
(fma z (- 1 (log t)) (fma (- a 0.5) b (+ x y)))

simplify2.2s

Counts
65 → 65
Iterations

Useful iterations: done (2.2s)

IterNodesCost
0114848
1218656
2472543
31643507
done5000506

prune258.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma z (- (fma -2 (log (cbrt t)) 1) (log (cbrt t))) (fma (- a 0.5) b (+ x y)))
0.3b
(- (fma -2 (log (cbrt t)) 1) (log (cbrt t)))
0.6b
(cbrt t)
0.6b
(cbrt t)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
19×add-sqr-sqrt
17×add-cube-cbrt
15×prod-diff
9×cbrt-prod
8×pow1
7×log-pow
6×log-prod associate--r+
5×pow1/3 add-log-exp
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×fma-neg
2×fma-udef distribute-lft-out--
1×sub-neg flip3-- diff-log associate--l+ flip-- difference-of-squares
Counts
4 → 78
Calls
4 calls:
1.0ms
(fma z (- (fma -2 (log (cbrt t)) 1) (log (cbrt t))) (fma (- a 0.5) b (+ x y)))
17.0ms
(- (fma -2 (log (cbrt t)) 1) (log (cbrt t)))
2.0ms
(cbrt t)
2.0ms
(cbrt t)

series2.0s

Counts
4 → 12
Calls
4 calls:
627.0ms
(fma z (- (fma -2 (log (cbrt t)) 1) (log (cbrt t))) (fma (- a 0.5) b (+ x y)))
758.0ms
(- (fma -2 (log (cbrt t)) 1) (log (cbrt t)))
317.0ms
(cbrt t)
337.0ms
(cbrt t)

simplify3.0s

Counts
90 → 90
Iterations

Useful iterations: done (3.0s)

IterNodesCost
01391418
12801239
27481011
33420814
done5000813

prune497.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma z (/ (- 1 (pow (log t) 3)) (fma (log t) (+ 1 (log t)) 1)) (fma (- a 0.5) b (+ x y)))
0.3b
(/ (- 1 (pow (log t) 3)) (fma (log t) (+ 1 (log t)) 1))
0.5b
(fma (log t) (+ 1 (log t)) 1)
0.7b
(pow (log t) 3)

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
48×*-un-lft-identity
36×times-frac
32×difference-of-squares
24×add-cube-cbrt
12×unpow-prod-down cube-prod associate-/l*
9×sqr-pow
7×pow1 add-exp-log add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u distribute-lft-out-- add-log-exp
3×pow-unpow associate-/r*
2×log-pow fma-udef associate-/l/
1×cbrt-undiv cube-mult pow-to-exp flip3-- pow-pow frac-2neg unpow3 div-sub div-exp pow-exp clear-num flip-- div-inv rem-cube-cbrt
Counts
4 → 115
Calls
4 calls:
1.0ms
(fma z (/ (- 1 (pow (log t) 3)) (fma (log t) (+ 1 (log t)) 1)) (fma (- a 0.5) b (+ x y)))
102.0ms
(/ (- 1 (pow (log t) 3)) (fma (log t) (+ 1 (log t)) 1))
0.0ms
(fma (log t) (+ 1 (log t)) 1)
6.0ms
(pow (log t) 3)

series3.1s

Counts
4 → 12
Calls
4 calls:
1.7s
(fma z (/ (- 1 (pow (log t) 3)) (fma (log t) (+ 1 (log t)) 1)) (fma (- a 0.5) b (+ x y)))
753.0ms
(/ (- 1 (pow (log t) 3)) (fma (log t) (+ 1 (log t)) 1))
423.0ms
(fma (log t) (+ 1 (log t)) 1)
231.0ms
(pow (log t) 3)

simplify1.1s

Counts
127 → 127
Iterations

Useful iterations: done (1.0s)

IterNodesCost
02212725
15122572
214552423
done50002411

prune494.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1 (log t))
0.1b
(fma z (cbrt (pow (- 1 (log t)) 3)) (fma (- a 0.5) b (+ x y)))
0.6b
(cbrt (pow (- 1 (log t)) 3))
0.8b
(pow (- 1 (log t)) 3)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
34×add-sqr-sqrt
20×cbrt-prod
19×add-cube-cbrt
14×unpow-prod-down cube-prod
13×pow1
12×prod-diff
10×distribute-lft-out-- difference-of-squares
8×log-pow
5×add-exp-log add-cbrt-cube add-log-exp
4×cube-div expm1-log1p-u log1p-expm1-u
3×pow-unpow log-prod flip3-- fma-neg flip-- associate--r+
2×cube-mult cbrt-div unpow3 sqr-pow
1×pow-to-exp sub-neg pow-pow pow1/3 diff-log pow-exp rem-cbrt-cube fma-udef rem-cube-cbrt
Counts
4 → 114
Calls
4 calls:
9.0ms
(- 1 (log t))
0.0ms
(fma z (cbrt (pow (- 1 (log t)) 3)) (fma (- a 0.5) b (+ x y)))
12.0ms
(cbrt (pow (- 1 (log t)) 3))
13.0ms
(pow (- 1 (log t)) 3)

series832.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(- 1 (log t))
269.0ms
(fma z (cbrt (pow (- 1 (log t)) 3)) (fma (- a 0.5) b (+ x y)))
177.0ms
(cbrt (pow (- 1 (log t)) 3))
188.0ms
(pow (- 1 (log t)) 3)

simplify776.0ms

Counts
126 → 126
Iterations

Useful iterations: done (772.0ms)

IterNodesCost
01611630
13441150
29011014
done5000978

prune429.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes463.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01720
12020
done2020

end0.0ms

sample3.4s

Algorithm
intervals
Results
1.3s9180×body80valid
801.0ms8855×body80nan
1.0ms3×body640valid
1.0ms2×body1280valid