Details

Time bar (total: 6.2s)

sample21.0ms

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)))))
2.5b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.5b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite678.0ms

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:
9.0ms
(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
444.0ms
(* (- 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))))
70.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series290.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
70.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
48.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
57.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify306.0ms

Algorithm
egg-herbie
Counts
834 → 834
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
0193935970
1500133778

prune1.4s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

2.5b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.5b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.5b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
17.7b
(+ (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (/ (- (pow (/ (cbrt 2.0) (cbrt t)) 3)) (+ 1.0 (/ 1.0 t)))) (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (/ (* (/ (cbrt 2.0) (cbrt t)) (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt t) (cbrt t)))) (+ 1.0 (/ 1.0 t)))))

rewrite416.0ms

Algorithm
rewrite-expression-head
Rules
801×times-frac
799×*-un-lft-identity
586×add-sqr-sqrt
559×add-cube-cbrt
522×prod-diff
118×distribute-lft-out
45×div-inv
25×frac-add
23×flip3-- flip--
20×frac-times associate-*l/
18×associate-/r/
12×add-log-exp
10×flip3-+ associate-*r/ flip-+
9×fma-neg difference-of-squares
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×sub-neg diff-log distribute-lft-out--
1×+-commutative fma-def sum-log
Counts
4 → 625
Calls
4 calls:
67.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
66.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
68.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
151.0ms
(+ (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (/ (- (pow (/ (cbrt 2.0) (cbrt t)) 3)) (+ 1.0 (/ 1.0 t)))) (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (/ (* (/ (cbrt 2.0) (cbrt t)) (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt t) (cbrt t)))) (+ 1.0 (/ 1.0 t)))))

series707.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
48.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
55.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
551.0ms
(+ (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (/ (- (pow (/ (cbrt 2.0) (cbrt t)) 3)) (+ 1.0 (/ 1.0 t)))) (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (/ (* (/ (cbrt 2.0) (cbrt t)) (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt t) (cbrt t)))) (+ 1.0 (/ 1.0 t)))))

simplify225.0ms

Algorithm
egg-herbie
Counts
637 → 637
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
0192325593
1500122176

prune1.6s

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
04060
14460
24760
34760

end0.0ms

sample456.0ms

Algorithm
intervals
Results
325.0ms8000×body80valid