Details

Time bar (total: 4.1s)

sample19.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02014
13814
28714
327414
473714
5180114
6500214

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
0.0b
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
1.9b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
1.9b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite252.0ms

Algorithm
rewrite-expression-head
Rules
728×times-frac
688×*-un-lft-identity
490×add-sqr-sqrt
472×add-cube-cbrt
348×prod-diff
106×distribute-lft-out
42×div-inv
26×associate-/l*
16×associate-/r/
14×add-exp-log add-cbrt-cube
8×flip3-+ associate-/r* flip-+ add-log-exp
6×cbrt-undiv fma-neg div-exp difference-of-squares
4×pow1 expm1-log1p-u log1p-expm1-u
2×sub-neg flip3-- frac-2neg diff-log clear-num flip-- associate-/l/ distribute-lft-out--
Counts
4 → 566
Calls
4 calls:
10.0ms
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
149.0ms
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
26.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
26.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series183.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
40.0ms
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
47.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
53.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify148.0ms

Algorithm
egg-herbie
Counts
578 → 578
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
0139716994
1500113082

prune1.1s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (sqrt (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))) (sqrt (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))
1.9b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
1.9b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
1.9b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
821×*-un-lft-identity
813×times-frac
642×add-sqr-sqrt
567×add-cube-cbrt
522×prod-diff
117×distribute-lft-out
45×div-inv
38×sqrt-prod
21×difference-of-squares
19×pow1
18×associate-/r/
14×swap-sqr
12×sqrt-div
10×associate-*r* associate-*l* add-log-exp
9×flip3-- flip3-+ fma-neg flip-- flip-+ distribute-lft-out--
8×sqrt-pow1 pow1/2
6×add-exp-log add-cbrt-cube
5×pow-prod-up
4×expm1-log1p-u frac-times log1p-expm1-u unswap-sqr
3×sub-neg diff-log pow-prod-down pow-sqr
2×associate-*r/ associate-*l/
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 658
Calls
4 calls:
50.0ms
(* (sqrt (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))) (sqrt (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))
26.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
29.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
26.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series187.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (sqrt (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))) (sqrt (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))
44.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
51.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
44.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify201.0ms

Algorithm
egg-herbie
Counts
670 → 670
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
0138523873
1500218019

prune1.3s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01722
11722

end0.0ms

sample402.0ms

Algorithm
intervals
Results
306.0ms8000×body80valid