Details

Time bar (total: 4.0s)

sample18.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02014
13814
28714
327414
473714
5180114
6500214

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

localize10.0ms

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)))))
1.8b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
1.8b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite230.0ms

Algorithm
rewrite-expression-head
Rules
1171×times-frac
1153×*-un-lft-identity
851×add-sqr-sqrt
795×add-cube-cbrt
696×prod-diff
176×distribute-rgt-in distribute-lft-in
170×distribute-lft-out
66×div-inv
26×associate-/r/
18×difference-of-squares
13×flip3-+ flip-+ associate-/l*
11×pow1 add-exp-log add-cbrt-cube
9×swap-sqr
8×flip3-- flip-- distribute-lft-out-- add-log-exp
7×associate-*r* associate-*l*
6×fma-neg
4×expm1-log1p-u frac-times sub-neg associate-/r* log1p-expm1-u
3×cbrt-undiv div-exp
2×diff-log associate-*r/ associate-*l/
1×pow2 frac-2neg pow-plus pow-prod-down prod-exp clear-num pow-sqr *-commutative pow-prod-up cbrt-unprod associate-/l/ unswap-sqr
Counts
4 → 879
Calls
4 calls:
11.0ms
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
65.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
28.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
33.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series197.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
62.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
47.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
45.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify351.0ms

Algorithm
egg-herbie
Counts
891 → 891
Iterations

Useful iterations: 1 (46.0ms)

IterNodesCost
0192736161
1500133972

prune1.5s

Filtered
891 candidates to 353 candidates (39.6%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New8901891
Fresh000
Picked101
Done000
Total8911892

Merged error: 0b

Counts
892 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.8b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
19.3b
(- 2.0 (* (/ (sqrt 2.0) (* (cbrt t) (cbrt t))) (/ (/ (sqrt 2.0) (cbrt t)) (+ 1.0 (/ 1.0 t)))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
273×*-un-lft-identity
267×times-frac
202×add-sqr-sqrt
193×add-cube-cbrt
177×prod-diff
39×distribute-lft-out
15×div-inv
8×add-log-exp
6×cbrt-prod fma-neg associate-/r/
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×flip3-+ flip-+ difference-of-squares
2×sub-neg flip3-- pow1/3 diff-log flip--
1×distribute-lft-out--
Counts
4 → 241
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
30.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
3.0ms
(- 2.0 (* (/ (sqrt 2.0) (* (cbrt t) (cbrt t))) (/ (/ (sqrt 2.0) (cbrt t)) (+ 1.0 (/ 1.0 t)))))

series525.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt t)
175.0ms
(cbrt t)
44.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
130.0ms
(- 2.0 (* (/ (sqrt 2.0) (* (cbrt t) (cbrt t))) (/ (/ (sqrt 2.0) (cbrt t)) (+ 1.0 (/ 1.0 t)))))

simplify98.0ms

Algorithm
egg-herbie
Counts
253 → 253
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
014328236
150026206

prune622.0ms

Filtered
253 candidates to 127 candidates (50.2%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New2530253
Fresh000
Picked011
Done000
Total2531254

Merged error: 0b

Counts
254 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02422
12422

end0.0ms

sample393.0ms

Algorithm
intervals
Results
295.0ms8000×body80valid