Details

Time bar (total: 12.9s)

sample42.0ms

Algorithm
intervals
Results
31.0ms256×body80valid

simplify2.3s

Counts
1 → 1
Iterations
IterNodes
72186
61030
5438
4223
397
243
120
010

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
14×add-cbrt-cube add-exp-log
add-sqr-sqrt associate-/r* times-frac add-cube-cbrt
expm1-log1p-u pow1 cbrt-undiv div-exp associate-/r/ insert-posit16 log1p-expm1-u distribute-lft-out add-log-exp
clear-num frac-2neg flip3-+ prod-exp cbrt-unprod flip-+ fma-udef div-inv associate-/l*
Counts
4 → 78
Calls
4 calls:
12.0ms
(/ (* t 2) (+ 1 t))
16.0ms
(/ (* t 2) (+ 1 t))
0.0ms
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2)
0.0ms
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)

series177.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ (* t 2) (+ 1 t))
29.0ms
(/ (* t 2) (+ 1 t))
55.0ms
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2)
66.0ms
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)

simplify2.7s

Counts
90 → 90
Iterations
IterNodes
33391
2763
1261
0110

prune470.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b
(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)) 1)
0.5b
(* (sqrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)) (sqrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×pow1
18×sqrt-prod
12×*-un-lft-identity add-cube-cbrt
sqrt-pow1 pow1/2 swap-sqr
add-cbrt-cube associate-*r* associate-*l* add-exp-log
pow-prod-up
expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr fma-udef
pow2 rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 85
Calls
4 calls:
0.0ms
(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)) 1)
18.0ms
(* (sqrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)) (sqrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)))

series292.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2)
69.0ms
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)
66.0ms
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)
82.0ms
(* (sqrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)) (sqrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)))

simplify2.3s

Counts
97 → 97
Iterations
IterNodes
44323
31061
2453
1198
096

prune445.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize83.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2)
0.5b
(cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1))
0.5b
(cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1))
0.5b
(* (fabs (cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1))) (hypot 1 (/ (* t 2) (+ 1 t))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
*-un-lft-identity add-cube-cbrt
cbrt-prod pow1 add-cbrt-cube add-exp-log
expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
associate-*r* associate-*l*
pow1/3
pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 60
Calls
4 calls:
0.0ms
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2)
1.0ms
(cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1))
1.0ms
(cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1))
12.0ms
(* (fabs (cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1))) (hypot 1 (/ (* t 2) (+ 1 t))))

series516.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2)
139.0ms
(cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1))
166.0ms
(cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1))
146.0ms
(* (fabs (cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1))) (hypot 1 (/ (* t 2) (+ 1 t))))

simplify1.8s

Counts
72 → 72
Iterations
IterNodes
33200
2931
1283
0127

prune449.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes39.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
211
111
09

end0.0ms

sample1.1s

Algorithm
intervals
Results
1.0s8000×body80valid