Details

Time bar (total: 27.1s)

sample55.0ms

Algorithm
intervals
Results
39.0ms256×body80valid

simplify6.8s

Counts
1 → 1

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1) (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2))
0.0b
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)
0.0b
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
5×add-cbrt-cube add-exp-log
3×expm1-log1p-u pow1 associate-/r* insert-posit16 log1p-expm1-u associate-/l* add-log-exp
2×fma-udef
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
3 → 52
Calls
3 calls:
Slowest
4.0ms
(/ (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1) (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2))
0.0ms
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)
0.0ms
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2)

series307.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
172.0ms
(/ (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1) (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2))
68.0ms
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)
66.0ms
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2)

simplify2.1s

Counts
61 → 61

prune634.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)
0.0b
(/ (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2) (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1))
0.0b
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2)
0.0b
(/ 1 (/ (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2) (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
54×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
17×add-exp-log
16×associate-/r*
11×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×pow1
4×expm1-log1p-u cbrt-undiv insert-posit16 log1p-expm1-u add-log-exp
2×rec-exp clear-num frac-2neg 1-exp fma-udef
1×associate-/r/ pow-flip inv-pow
Counts
4 → 131
Calls
4 calls:
Slowest
7.0ms
(/ 1 (/ (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2) (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)))
5.0ms
(/ (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2) (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1))
0.0ms
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)
0.0ms
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2)

series454.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
159.0ms
(/ 1 (/ (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2) (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)))
155.0ms
(/ (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2) (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1))
81.0ms
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)
59.0ms
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2)

simplify1.8s

Counts
143 → 143

prune1.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2) (sqrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)))
0.0b
(/ (sqrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)) (/ (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2) (sqrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1))))
0.0b
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)
0.0b
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
156×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
144×sqrt-prod
28×associate-/r*
11×add-cbrt-cube add-exp-log
9×div-inv associate-/l*
4×expm1-log1p-u pow1 cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg fma-udef
1×associate-/r/
Counts
4 → 242
Calls
4 calls:
Slowest
17.0ms
(/ (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2) (sqrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)))
15.0ms
(/ (sqrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)) (/ (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2) (sqrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1))))
0.0ms
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)
0.0ms
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)

series706.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
346.0ms
(/ (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2) (sqrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)))
189.0ms
(/ (sqrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)) (/ (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2) (sqrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1))))
95.0ms
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)
76.0ms
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)

simplify1.5s

Counts
254 → 254

prune3.6s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ (cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)) (cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2))) (/ (cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)) (cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2))))
1.0b
(cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2))
1.0b
(cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2))
1.0b
(cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
197×add-sqr-sqrt
193×cbrt-prod
184×times-frac
107×*-un-lft-identity add-cube-cbrt
40×swap-sqr associate-*r* associate-*l*
25×unswap-sqr
16×add-exp-log
11×pow1
8×add-cbrt-cube
4×expm1-log1p-u cbrt-undiv div-exp prod-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp
3×pow1/3
1×pow2 frac-times pow-plus pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
4 → 214
Calls
4 calls:
Slowest
34.0ms
(* (/ (cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)) (cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2))) (/ (cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)) (cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2))))
1.0ms
(cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2))
1.0ms
(cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2))
1.0ms
(cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2))

series666.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
242.0ms
(* (/ (cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)) (cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2))) (/ (cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)) (cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2))))
145.0ms
(cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2))
145.0ms
(cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2))
134.0ms
(cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2))

simplify1.7s

Counts
226 → 226

prune3.6s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes41.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
1.0s8000×body80valid