Details

Time bar (total: 1.3s)

sample23.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify78.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
0512625

prune5.0ms

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)))))
3.3b
(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))
3.3b
(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))

rewrite41.0ms

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
(/ 2.0 (+ 1.0 (* 1.0 t)))
18.0ms
(* (- 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))))

simplify60.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
050281869

prune193.0ms

Filtered
83 candidates to 119 candidates (-43.4%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1181119
Fresh000
Picked101
Done000
Total1191120

Merged error: 0b

Counts
120 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (/ 1.0 (+ 2.0 (cbrt (pow (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) 6)))))
0.1b
(cbrt (pow (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) 6))
0.1b
(pow (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) 6)
3.3b
(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
16×*-un-lft-identity
12×unpow-prod-down
10×cbrt-prod
8×add-cube-cbrt add-log-exp difference-of-squares
5×pow1 add-exp-log
4×times-frac add-cbrt-cube distribute-lft-out--
3×pow-unpow
2×sub-neg flip3-- diff-log flip-- sqr-pow
1×pow-to-exp pow-pow pow1/3 pow-exp
Counts
4 → 68
Calls
4 calls:
17.0ms
(- 1.0 (/ 1.0 (+ 2.0 (cbrt (pow (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) 6)))))
8.0ms
(cbrt (pow (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) 6))
10.0ms
(pow (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) 6)
7.0ms
(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))

series17.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(- 1.0 (/ 1.0 (+ 2.0 (cbrt (pow (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) 6)))))
3.0ms
(cbrt (pow (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) 6))
4.0ms
(pow (- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t)))) 6)
3.0ms
(- 2.0 (/ 2.0 (+ 1.0 (* 1.0 t))))

simplify34.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
049951337
149951337

prune126.0ms

Filtered
58 candidates to 80 candidates (-37.9%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New80080
Fresh000
Picked011
Done000
Total80181

Merged error: 0b

Counts
81 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01618
11618

end0.0ms

sample657.0ms

Algorithm
intervals
Results
536.0ms8000×body80valid

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