Details

Time bar (total: 1.7s)

sample28.0ms

Algorithm
intervals
Results
20.0ms256×body80valid

simplify66.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
0512625

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (+ 2.0 (* (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))))))
0.0b
(* (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))))
4.9b
(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))
4.9b
(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
34×*-un-lft-identity
16×add-cube-cbrt
15×times-frac
12×difference-of-squares
11×pow1
8×add-exp-log flip3-- swap-sqr add-cbrt-cube flip-- distribute-lft-out-- add-log-exp
6×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 → 107
Calls
4 calls:
5.0ms
(/ 1.0 (+ 2.0 (* (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))))))
21.0ms
(* (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))))
9.0ms
(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))
9.0ms
(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))

series17.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ 1.0 (+ 2.0 (* (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))))))
4.0ms
(* (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))))
3.0ms
(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))
3.0ms
(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))

simplify54.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
049472171
149472171

prune233.0ms

Filtered
84 candidates to 119 candidates (-41.7%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1181119
Fresh000
Picked101
Done000
Total1191120

Merged error: 0b

Counts
120 → 1

localize25.0ms

Local error

Found 4 expressions with local error:

4.9b
(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))
4.9b
(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))
4.9b
(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))
4.9b
(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
12×*-un-lft-identity add-log-exp
8×difference-of-squares
4×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- times-frac diff-log add-cbrt-cube flip-- distribute-lft-out--
Counts
4 → 60
Calls
4 calls:
9.0ms
(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))
9.0ms
(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))
9.0ms
(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))
9.0ms
(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))

series13.0ms

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

simplify56.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049481008
149481008

prune349.0ms

Filtered
56 candidates to 72 candidates (-28.6%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New72072
Fresh000
Picked011
Done000
Total72173

Merged error: 0b

Counts
73 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02785
12785

end0.0ms

sample789.0ms

Algorithm
intervals
Results
631.0ms8000×body80valid

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