Details

Time bar (total: 1.7s)

analyze349.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%50%0%4
50%50%0%5
50%50%0%6
50%50%0%7
50%50%0%8
50%50%0%9
50%50%0%10
50%50%0%11
50%49.9%0%12
99.6%0.3%0%13
99.9%0%0%14

sample25.0ms

Algorithm
intervals
Results
19.0ms256×body80valid

simplify47.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
0501825

prune6.0ms

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

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 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)))))
4.3b
(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))
4.3b
(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))

rewrite45.0ms

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×diff-log associate-*r/ associate-*l/ associate-/r/
1×cbrt-undiv pow2 distribute-rgt-in frac-2neg distribute-lft-in 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 → 103
Calls
4 calls:
5.0ms
(/ 2.0 (+ 1.0 (* 1.0 t)))
19.0ms
(* (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))))
8.0ms
(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))
8.0ms
(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))

series12.0ms

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

simplify73.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
049001833
149001833

prune200.0ms

Filtered
83 candidates to 115 candidates (-38.6%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1141115
Fresh000
Picked101
Done000
Total1151116

Merged error: 0b

Counts
116 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt 2.0)
1.0b
(cbrt 2.0)
4.3b
(- 2.0 (/ (* (cbrt 2.0) (cbrt 2.0)) (/ (+ 1.0 (* 1.0 t)) (cbrt 2.0))))
4.3b
(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
10×*-un-lft-identity
8×add-cube-cbrt add-log-exp
7×cbrt-prod
6×times-frac difference-of-squares
4×pow1 add-exp-log add-cbrt-cube
3×distribute-lft-out--
2×sub-neg flip3-- pow1/3 diff-log flip--
1×distribute-rgt-out-- associate-/r/ div-inv
Counts
4 → 54
Calls
4 calls:
1.0ms
(cbrt 2.0)
1.0ms
(cbrt 2.0)
12.0ms
(- 2.0 (/ (* (cbrt 2.0) (cbrt 2.0)) (/ (+ 1.0 (* 1.0 t)) (cbrt 2.0))))
8.0ms
(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))

series9.0ms

Counts
4 → 8
Calls
4 calls:
0.0ms
(cbrt 2.0)
0.0ms
(cbrt 2.0)
5.0ms
(- 2.0 (/ (* (cbrt 2.0) (cbrt 2.0)) (/ (+ 1.0 (* 1.0 t)) (cbrt 2.0))))
3.0ms
(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))

simplify53.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04931691
14931691

prune148.0ms

Filtered
54 candidates to 62 candidates (-14.8%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New62062
Fresh000
Picked011
Done000
Total62163

Merged error: 0b

Counts
63 → 1

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07532
17532

end0.0ms

sample666.0ms

Algorithm
intervals
Results
561.0ms8000×body80valid

Profiling

Loading profile data...