Details

Time bar (total: 1.7s)

sample24.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify91.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02014
13714
28414
325214
462314
5141314
6381414
7500114

prune3.0ms

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)))))
3.2b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
3.2b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite104.0ms

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:
5.0ms
(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
49.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
21.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
24.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series19.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
4.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
4.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
4.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify62.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04421821
118111700
250011639

prune268.0ms

Filtered
88 candidates to 124 candidates (-40.9%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1231124
Fresh000
Picked101
Done000
Total1241125

Merged error: 0b

Counts
125 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

3.2b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
3.2b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
3.2b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
3.2b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
12×*-un-lft-identity times-frac add-log-exp difference-of-squares
4×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- diff-log add-cbrt-cube flip-- distribute-lft-out--
Counts
4 → 64
Calls
4 calls:
21.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
22.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
23.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
22.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series14.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
3.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
3.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
4.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify56.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0137740
1352680
21683672
35001672

prune228.0ms

Filtered
60 candidates to 76 candidates (-26.7%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New76076
Fresh000
Picked011
Done000
Total76177

Merged error: 0b

Counts
77 → 1

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02530
12930
23030
33030

end0.0ms

sample683.0ms

Algorithm
intervals
Results
547.0ms8000×body80valid

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