Details

Time bar (total: 1.7m)

sample19.0ms

Algorithm
intervals
Results
10.0ms256×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
(/ (/ 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)))))
3.5b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
3.5b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
115×add-sqr-sqrt times-frac
105×*-un-lft-identity
59×add-cube-cbrt
18×difference-of-squares
16×associate-/l*
14×distribute-lft-out
11×pow1 add-exp-log add-cbrt-cube
9×swap-sqr associate-/l/
8×flip3-- flip-- distribute-lft-out-- add-log-exp
7×associate-*r* associate-*l* associate-/r*
6×div-inv
4×frac-times sub-neg
3×cbrt-undiv div-exp
2×distribute-rgt-in frac-2neg distribute-lft-in diff-log associate-*r/ associate-*l/ clear-num associate-/r/
1×pow2 flip3-+ pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod flip-+ unswap-sqr
Counts
4 → 177
Calls
4 calls:
12.0ms
(/ (/ 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)))))
24.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
21.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series214.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
69.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
52.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
49.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify94.0ms

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
06732063
129611928
250021877

prune343.0ms

Filtered
189 candidates to 131 candidates (69.3%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1881189
Fresh000
Picked101
Done000
Total1891190

Merged error: 0b

Counts
190 → 1

localize27.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt 2.0)
1.0b
(cbrt 2.0)
3.5b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
22.4b
(- 2.0 (* (/ (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt t) (cbrt t))) (* (cbrt (+ 1.0 (/ 1.0 t))) (cbrt (+ 1.0 (/ 1.0 t))))) (/ (/ (cbrt 2.0) (cbrt t)) (cbrt (+ 1.0 (/ 1.0 t))))))

rewrite1.3m

Algorithm
rewrite-expression-head
Rules
64579×add-sqr-sqrt
29442×times-frac
25717×cbrt-prod
18865×unswap-sqr
8133×difference-of-squares
5368×swap-sqr
2684×*-commutative
12×*-un-lft-identity
8×add-log-exp
6×add-cube-cbrt
4×pow1 add-exp-log add-cbrt-cube
3×distribute-lft-out--
2×sub-neg flip3-- pow1/3 diff-log flip--
1×associate-*l*
Counts
4 → 8182
Calls
4 calls:
1.0ms
(cbrt 2.0)
1.0ms
(cbrt 2.0)
23.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
1.2m
(- 2.0 (* (/ (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt t) (cbrt t))) (* (cbrt (+ 1.0 (/ 1.0 t))) (cbrt (+ 1.0 (/ 1.0 t))))) (/ (/ (cbrt 2.0) (cbrt t)) (cbrt (+ 1.0 (/ 1.0 t))))))

series172.0ms

Counts
4 → 8
Calls
4 calls:
0.0ms
(cbrt 2.0)
0.0ms
(cbrt 2.0)
52.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
120.0ms
(- 2.0 (* (/ (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt t) (cbrt t))) (* (cbrt (+ 1.0 (/ 1.0 t))) (cbrt (+ 1.0 (/ 1.0 t))))) (/ (/ (cbrt 2.0) (cbrt t)) (cbrt (+ 1.0 (/ 1.0 t))))))

simplify3.9s

Algorithm
egg-herbie
Counts
8190 → 8190
Iterations

Useful iterations: 0 (119.0ms)

IterNodesCost
07753491545

prune17.8s

Filtered
8190 candidates to 2505 candidates (30.6%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New819008190
Fresh000
Picked011
Done000
Total819018191

Merged error: 0b

Counts
8191 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02833
12833

end0.0ms

sample407.0ms

Algorithm
intervals
Results
309.0ms8000×body80valid