Details

Time bar (total: 5.7s)

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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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)))))
2.3b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.3b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite539.0ms

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)))))))
342.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
53.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
51.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series274.0ms

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)))))))
66.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
45.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
54.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify323.0ms

Algorithm
egg-herbie
Counts
834 → 834
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
0193935970
1500133778

prune1.4s

Filtered
834 candidates to 317 candidates (38.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (+ 2.0 (* (fma (sqrt 2.0) (sqrt 2.0) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
0.0b
(* (fma (sqrt 2.0) (sqrt 2.0) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
2.3b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
30.0b
(fma (sqrt 2.0) (sqrt 2.0) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))

rewrite320.0ms

Algorithm
rewrite-expression-head
Rules
807×times-frac
805×*-un-lft-identity
587×add-sqr-sqrt
567×add-cube-cbrt
522×prod-diff
176×distribute-rgt-in distribute-lft-in
117×distribute-lft-out
46×div-inv
20×associate-/r/
10×flip3-+ flip-+
8×add-exp-log add-cbrt-cube
7×associate-*r*
6×pow1 add-log-exp difference-of-squares
4×expm1-log1p-u log1p-expm1-u
3×sub-neg fma-neg associate-*l* associate-/r* associate-/l*
2×flip3-- associate-*r/ flip-- distribute-lft-out--
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 614
Calls
4 calls:
4.0ms
(/ 1.0 (+ 2.0 (* (fma (sqrt 2.0) (sqrt 2.0) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
197.0ms
(* (fma (sqrt 2.0) (sqrt 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))))
0.0ms
(fma (sqrt 2.0) (sqrt 2.0) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))

series874.0ms

Counts
4 → 12
Calls
4 calls:
584.0ms
(/ 1.0 (+ 2.0 (* (fma (sqrt 2.0) (sqrt 2.0) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
171.0ms
(* (fma (sqrt 2.0) (sqrt 2.0) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
52.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
67.0ms
(fma (sqrt 2.0) (sqrt 2.0) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))

simplify268.0ms

Algorithm
egg-herbie
Counts
626 → 626
Iterations

Useful iterations: 1 (42.0ms)

IterNodesCost
0206930372
1500128531

prune1.1s

Filtered
626 candidates to 230 candidates (36.7%)
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

sample422.0ms

Algorithm
intervals
Results
326.0ms8000×body80valid