Details

Time bar (total: 7.3s)

sample28.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify1.6s

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01035
12035
24633
312433
434033
572833
6106233
7139533
done500133

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* 2.0 t) (+ 1.0 t))
0.0b
(/ (* 2.0 t) (+ 1.0 t))
0.0b
(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0)
0.0b
(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
14×add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt times-frac associate-/r*
pow1 cbrt-undiv expm1-log1p-u div-exp associate-/r/ log1p-expm1-u distribute-lft-out add-log-exp
frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ fma-udef div-inv associate-/l*
Counts
4 → 74
Calls
4 calls:
28.0ms
(/ (* 2.0 t) (+ 1.0 t))
18.0ms
(/ (* 2.0 t) (+ 1.0 t))
0.0ms
(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0)
1.0ms
(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)

series378.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(/ (* 2.0 t) (+ 1.0 t))
43.0ms
(/ (* 2.0 t) (+ 1.0 t))
147.0ms
(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0)
131.0ms
(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)

simplify1.0s

Counts
86 → 86
Iterations

Useful iterations: 2 (355.0ms)

IterNodesCost
01081182
12721142
21373984
done5001984

prune332.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0)
0.0b
(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)
0.0b
(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)
0.5b
(* (sqrt (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)) (sqrt (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×pow1
18×sqrt-prod
12×add-cube-cbrt *-un-lft-identity
sqrt-pow1 pow1/2 swap-sqr
add-exp-log associate-*r* associate-*l* add-cbrt-cube
pow-prod-up
expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr fma-udef
pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
0.0ms
(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0)
0.0ms
(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)
0.0ms
(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)
16.0ms
(* (sqrt (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)) (sqrt (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)))

series387.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0)
100.0ms
(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)
96.0ms
(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)
92.0ms
(* (sqrt (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)) (sqrt (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)))

simplify2.3s

Counts
93 → 93
Iterations

Useful iterations: done (2.3s)

IterNodesCost
0952902
11942055
25671771
326601674
done50011585

prune298.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0933
11133
done1133

end0.0ms

sample782.0ms

Algorithm
intervals
Results
601.0ms8000×body80valid