Details

Time bar (total: 2.5s)

sample21.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify97.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02014
13714
28414
325214
462314
5141314
6381414
7500114

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

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))))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
72×add-sqr-sqrt
34×*-un-lft-identity
27×times-frac
18×difference-of-squares
16×add-cube-cbrt
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*
4×frac-times sub-neg
3×associate-/r* associate-/l*
2×distribute-rgt-in distribute-lft-in diff-log associate-*r/ associate-*l/ associate-/r/
1×cbrt-undiv pow2 frac-2neg flip3-+ pow-plus div-exp pow-prod-down prod-exp clear-num pow-sqr *-commutative pow-prod-up cbrt-unprod flip-+ div-inv unswap-sqr
Counts
4 → 112
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)))))))
47.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
20.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
24.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series267.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(/ 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)))))
49.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
45.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify65.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
04421821
118111700
250011639

prune213.0ms

Filtered
124 candidates to 88 candidates (71.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1231124
Fresh000
Picked101
Done000
Total1241125

Merged error: 0b

Counts
125 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- 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))))) (+ 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))
0.2b
(* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
3.5b
(- (* 2.0 2.0) (* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
3.6b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
481×times-frac
404×*-un-lft-identity
269×add-sqr-sqrt
210×add-cube-cbrt
84×swap-sqr
82×distribute-lft-out
80×associate-*r*
65×associate-*l*
45×add-exp-log add-cbrt-cube
25×div-inv
19×cbrt-undiv div-exp
13×pow1
11×prod-exp cbrt-unprod difference-of-squares unswap-sqr
10×associate-/r/
8×add-log-exp
5×flip3-+ flip-+
4×flip3-- flip--
3×frac-times associate-*l/
2×sub-neg diff-log associate-*r/ pow-prod-down *-commutative distribute-lft-out--
1×pow2 pow-plus pow-sqr pow-prod-up
Counts
4 → 321
Calls
4 calls:
51.0ms
(* (- 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))))) (+ 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))
66.0ms
(* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
4.0ms
(- (* 2.0 2.0) (* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
20.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series373.0ms

Counts
4 → 12
Calls
4 calls:
213.0ms
(* (- 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))))) (+ 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))
54.0ms
(* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
60.0ms
(- (* 2.0 2.0) (* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
45.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify90.0ms

Algorithm
egg-herbie
Counts
333 → 333
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
017245472
150015085

prune641.0ms

Filtered
333 candidates to 204 candidates (61.3%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New3330333
Fresh000
Picked011
Done000
Total3331334

Merged error: 0b

Counts
334 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02126
12126

end0.0ms

sample474.0ms

Algorithm
intervals
Results
374.0ms8000×body80valid

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