Details

Time bar (total: 4.5s)

sample19.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify55.0ms

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

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
0.0b
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
3.6b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
3.6b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite215.0ms

Algorithm
rewrite-expression-head
Rules
1084×*-un-lft-identity
1083×times-frac
810×add-sqr-sqrt
754×add-cube-cbrt
696×prod-diff
176×distribute-rgt-in distribute-lft-in
156×distribute-lft-out
61×div-inv
26×associate-/r/
18×difference-of-squares
13×flip3-+ flip-+
11×pow1
9×swap-sqr
8×add-exp-log flip3-- add-cbrt-cube flip-- distribute-lft-out-- add-log-exp
7×associate-*r* associate-*l*
6×fma-neg
4×expm1-log1p-u frac-times sub-neg log1p-expm1-u
3×associate-/r* associate-/l*
2×diff-log associate-*r/ associate-*l/
1×cbrt-undiv pow2 frac-2neg pow-plus div-exp pow-prod-down prod-exp clear-num pow-sqr *-commutative pow-prod-up cbrt-unprod unswap-sqr
Counts
4 → 822
Calls
4 calls:
4.0ms
(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
65.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
27.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
33.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series271.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
67.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
49.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
46.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify324.0ms

Algorithm
egg-herbie
Counts
834 → 834
Iterations

Useful iterations: 1 (41.0ms)

IterNodesCost
0193935970
1500133778

prune1.4s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (fma (sqrt 2.0) (sqrt 2.0) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))))
0.0b
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (fma (sqrt 2.0) (sqrt 2.0) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))
3.6b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
33.0b
(fma (sqrt 2.0) (sqrt 2.0) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
281×*-un-lft-identity
279×times-frac
219×add-sqr-sqrt
199×add-cube-cbrt
174×prod-diff
39×distribute-lft-out
16×div-inv
8×add-exp-log associate-/r/ add-cbrt-cube
7×associate-*l*
6×pow1 add-log-exp difference-of-squares
4×expm1-log1p-u flip3-+ flip-+ log1p-expm1-u
3×fma-neg associate-*r* associate-/r* fma-udef associate-/l*
2×flip3-- associate-*l/ flip-- distribute-lft-out--
1×cbrt-undiv distribute-rgt-in sub-neg frac-2neg distribute-lft-in diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod unswap-sqr
Counts
4 → 264
Calls
4 calls:
5.0ms
(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (fma (sqrt 2.0) (sqrt 2.0) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))))
28.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (fma (sqrt 2.0) (sqrt 2.0) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))
28.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
1.0ms
(fma (sqrt 2.0) (sqrt 2.0) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))

series875.0ms

Counts
4 → 12
Calls
4 calls:
585.0ms
(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (fma (sqrt 2.0) (sqrt 2.0) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))))
170.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (fma (sqrt 2.0) (sqrt 2.0) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))
46.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
74.0ms
(fma (sqrt 2.0) (sqrt 2.0) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))

simplify107.0ms

Algorithm
egg-herbie
Counts
276 → 276
Iterations

Useful iterations: 1 (41.0ms)

IterNodesCost
016999215
150017126

prune684.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02017
12217
22217

end0.0ms

sample389.0ms

Algorithm
intervals
Results
302.0ms8000×body80valid