Details

Time bar (total: 5.3s)

sample20.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify53.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02014
13814
28714
327414
473714
5180114
6500214
done500214

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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)))))
2.1b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.1b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite641.0ms

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)))))))
416.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
64.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
67.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series280.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
68.0ms
(* (- 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))))
55.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify291.0ms

Counts
834 → 834
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
0193935970
1500133778
done500133778

prune1.5s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize17.0ms

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 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))))
2.1b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.1b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.1b
(+ (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) 2.0) (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))

rewrite515.0ms

Algorithm
rewrite-expression-head
Rules
551×*-un-lft-identity
546×times-frac
401×add-sqr-sqrt
383×add-cube-cbrt
348×prod-diff
83×distribute-lft-out
31×div-inv
14×associate-*l/ associate-/r/
11×flip3-- flip--
10×frac-add add-log-exp
8×flip3-+ flip-+
6×add-exp-log fma-neg add-cbrt-cube distribute-neg-frac difference-of-squares
4×pow1 expm1-log1p-u frac-times associate-/r* log1p-expm1-u
3×associate-/l*
2×sub-neg diff-log associate-*r/ distribute-rgt-neg-out distribute-lft-out--
1×cbrt-undiv +-commutative fma-def frac-2neg div-exp unsub-neg clear-num sum-log
Counts
4 → 452
Calls
4 calls:
287.0ms
(/ 1.0 (+ 2.0 (+ (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) 2.0) (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))))
63.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
62.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
60.0ms
(+ (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) 2.0) (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))

series311.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(/ 1.0 (+ 2.0 (+ (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) 2.0) (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))))
49.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
45.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
107.0ms
(+ (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) 2.0) (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))

simplify147.0ms

Counts
464 → 464
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
0176017416
1500113519
done500113519

prune1.1s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02421
13021
23121
33121
done3121

end0.0ms

sample431.0ms

Algorithm
intervals
Results
311.0ms8000×body80valid