Details

Time bar (total: 24.3s)

sample27.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify6.8s

Counts
1 → 1
Iterations

Useful iterations: 7 (5.5s)

IterNodesCost
01229
12029
23828
38728
425328
565728
6152726
7391722
done500022

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (fma (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) 2.0))
0.0b
(fma (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) 2.0)
1.6b
(- 2.0 (/ 2.0 (fma 1.0 t 1.0)))
1.6b
(- 2.0 (/ 2.0 (fma 1.0 t 1.0)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt
86×*-un-lft-identity
82×add-cube-cbrt
78×prod-diff
65×times-frac
8×add-log-exp
7×div-inv
6×add-exp-log fma-neg add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u difference-of-squares
3×associate-/r* associate-/l*
2×sub-neg flip3-- diff-log flip-- distribute-lft-out--
1×cbrt-undiv frac-2neg div-exp clear-num fma-udef
Counts
4 → 157
Calls
4 calls:
5.0ms
(/ 1.0 (fma (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) 2.0))
0.0ms
(fma (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) 2.0)
13.0ms
(- 2.0 (/ 2.0 (fma 1.0 t 1.0)))
19.0ms
(- 2.0 (/ 2.0 (fma 1.0 t 1.0)))

series391.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(/ 1.0 (fma (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) 2.0))
130.0ms
(fma (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) 2.0)
44.0ms
(- 2.0 (/ 2.0 (fma 1.0 t 1.0)))
53.0ms
(- 2.0 (/ 2.0 (fma 1.0 t 1.0)))

simplify3.7s

Counts
169 → 169
Iterations

Useful iterations: done (3.7s)

IterNodesCost
02386285
15355662
213454062
341873252
done50003243

prune388.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (fma (fma (sqrt 2.0) (sqrt 2.0) (/ (- 2.0) (fma t 1.0 1.0))) (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) 2.0))
0.0b
(fma (fma (sqrt 2.0) (sqrt 2.0) (/ (- 2.0) (fma t 1.0 1.0))) (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) 2.0)
1.6b
(- 2.0 (/ 2.0 (fma 1.0 t 1.0)))
26.2b
(fma (sqrt 2.0) (sqrt 2.0) (/ (- 2.0) (fma t 1.0 1.0)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
52×add-sqr-sqrt
49×*-un-lft-identity
47×add-cube-cbrt
39×prod-diff
37×times-frac
6×add-exp-log add-cbrt-cube add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u div-inv
3×fma-neg associate-/r* associate-/l*
2×fma-udef difference-of-squares
1×cbrt-undiv sub-neg flip3-- frac-2neg diff-log div-exp clear-num flip-- distribute-lft-out--
Counts
4 → 108
Calls
4 calls:
10.0ms
(/ 1.0 (fma (fma (sqrt 2.0) (sqrt 2.0) (/ (- 2.0) (fma t 1.0 1.0))) (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) 2.0))
1.0ms
(fma (fma (sqrt 2.0) (sqrt 2.0) (/ (- 2.0) (fma t 1.0 1.0))) (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) 2.0)
29.0ms
(- 2.0 (/ 2.0 (fma 1.0 t 1.0)))
0.0ms
(fma (sqrt 2.0) (sqrt 2.0) (/ (- 2.0) (fma t 1.0 1.0)))

series864.0ms

Counts
4 → 12
Calls
4 calls:
514.0ms
(/ 1.0 (fma (fma (sqrt 2.0) (sqrt 2.0) (/ (- 2.0) (fma t 1.0 1.0))) (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) 2.0))
188.0ms
(fma (fma (sqrt 2.0) (sqrt 2.0) (/ (- 2.0) (fma t 1.0 1.0))) (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) 2.0)
71.0ms
(- 2.0 (/ 2.0 (fma 1.0 t 1.0)))
91.0ms
(fma (sqrt 2.0) (sqrt 2.0) (/ (- 2.0) (fma t 1.0 1.0)))

simplify2.1s

Counts
120 → 120
Iterations

Useful iterations: done (2.1s)

IterNodesCost
03034579
17103764
219992945
done50012533

prune430.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(expm1 (log1p (- 2.0 (/ 2.0 (fma 1.0 t 1.0)))))
0.5b
(log1p (- 2.0 (/ 2.0 (fma 1.0 t 1.0))))
1.6b
(- 2.0 (/ 2.0 (fma 1.0 t 1.0)))
26.2b
(fma (sqrt 2.0) (sqrt 2.0) (/ (- 2.0) (fma t 1.0 1.0)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
41×*-un-lft-identity
39×add-cube-cbrt prod-diff
28×times-frac
6×add-log-exp
5×expm1-log1p-u
4×pow1 add-exp-log add-cbrt-cube log1p-expm1-u
3×fma-neg div-inv
2×difference-of-squares
1×sub-neg log1p-udef expm1-log1p flip3-- diff-log log1p-expm1 flip-- fma-udef distribute-lft-out-- expm1-udef
Counts
4 → 91
Calls
4 calls:
0.0ms
(expm1 (log1p (- 2.0 (/ 2.0 (fma 1.0 t 1.0)))))
1.0ms
(log1p (- 2.0 (/ 2.0 (fma 1.0 t 1.0))))
14.0ms
(- 2.0 (/ 2.0 (fma 1.0 t 1.0)))
0.0ms
(fma (sqrt 2.0) (sqrt 2.0) (/ (- 2.0) (fma t 1.0 1.0)))

series471.0ms

Counts
4 → 12
Calls
4 calls:
227.0ms
(expm1 (log1p (- 2.0 (/ 2.0 (fma 1.0 t 1.0)))))
134.0ms
(log1p (- 2.0 (/ 2.0 (fma 1.0 t 1.0))))
46.0ms
(- 2.0 (/ 2.0 (fma 1.0 t 1.0)))
64.0ms
(fma (sqrt 2.0) (sqrt 2.0) (/ (- 2.0) (fma t 1.0 1.0)))

simplify2.0s

Counts
103 → 103
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02323139
15292672
214241979
done50001659

prune434.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

1.6b
(- 2.0 (/ 2.0 (fma 1.0 t 1.0)))
1.6b
(- 2.0 (/ 2.0 (fma 1.0 t 1.0)))
1.6b
(- 2.0 (/ 2.0 (fma 1.0 t 1.0)))
1.6b
(- 2.0 (/ 2.0 (fma 1.0 t 1.0)))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
164×add-sqr-sqrt
156×prod-diff
152×*-un-lft-identity
144×add-cube-cbrt
112×times-frac
12×fma-neg div-inv add-log-exp
8×difference-of-squares
4×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out--
Counts
4 → 236
Calls
4 calls:
29.0ms
(- 2.0 (/ 2.0 (fma 1.0 t 1.0)))
37.0ms
(- 2.0 (/ 2.0 (fma 1.0 t 1.0)))
13.0ms
(- 2.0 (/ 2.0 (fma 1.0 t 1.0)))
14.0ms
(- 2.0 (/ 2.0 (fma 1.0 t 1.0)))

series234.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(- 2.0 (/ 2.0 (fma 1.0 t 1.0)))
54.0ms
(- 2.0 (/ 2.0 (fma 1.0 t 1.0)))
65.0ms
(- 2.0 (/ 2.0 (fma 1.0 t 1.0)))
45.0ms
(- 2.0 (/ 2.0 (fma 1.0 t 1.0)))

simplify3.9s

Counts
248 → 248
Iterations

Useful iterations: done (3.9s)

IterNodesCost
016410056
13918840
210095896
334434280
done50002472

prune525.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01628
11828
done1828

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.4s8000×body80valid