Details

Time bar (total: 4.0m)

sample19.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify55.0ms

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

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))))

rewrite228.0ms

Algorithm
rewrite-expression-head
Rules
1171×times-frac
1155×*-un-lft-identity
853×add-sqr-sqrt
797×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
16×associate-/l*
13×flip3-+ flip-+
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×fma-neg
4×expm1-log1p-u frac-times sub-neg log1p-expm1-u
3×cbrt-undiv div-exp
2×frac-2neg diff-log associate-*r/ associate-*l/ clear-num
1×pow2 pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod unswap-sqr
Counts
4 → 887
Calls
4 calls:
12.0ms
(/ (/ 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)))))
32.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
28.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series227.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
72.0ms
(* (- 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))))
58.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify351.0ms

Algorithm
egg-herbie
Counts
899 → 899
Iterations

Useful iterations: 1 (48.0ms)

IterNodesCost
0193936195
1500234005

prune1.3s

Filtered
899 candidates to 360 candidates (40.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New8981899
Fresh000
Picked101
Done000
Total8991900

Merged error: 0b

Counts
900 → 1

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.7b
(* (/ (/ (sqrt 2.0) (* (cbrt t) (cbrt t))) (* (cbrt (+ 1.0 (/ 1.0 t))) (cbrt (+ 1.0 (/ 1.0 t))))) (/ (/ (sqrt 2.0) (cbrt t)) (cbrt (+ 1.0 (/ 1.0 t)))))
3.5b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
23.6b
(- 2.0 (* (/ (/ (sqrt 2.0) (* (cbrt t) (cbrt t))) (* (cbrt (+ 1.0 (/ 1.0 t))) (cbrt (+ 1.0 (/ 1.0 t))))) (/ (/ (sqrt 2.0) (cbrt t)) (cbrt (+ 1.0 (/ 1.0 t))))))

rewrite46.7s

Algorithm
rewrite-expression-head
Rules
122987×add-sqr-sqrt
97434×times-frac
64247×cbrt-prod
55651×*-un-lft-identity
44549×add-cube-cbrt
33787×associate-*l*
29309×sqrt-prod
25440×unswap-sqr
22695×prod-diff
22302×associate-/l*
18020×swap-sqr
15421×frac-times
13634×associate-*r*
6988×associate-/r*
5948×associate-/l/
4817×distribute-lft-out
3999×*-commutative
1896×difference-of-squares
978×add-cbrt-cube
695×cbrt-undiv
610×clear-num
608×frac-2neg
525×cbrt-unprod
483×div-inv
245×associate-*l/
112×add-exp-log
73×associate-*r/
56×cbrt-div
51×div-exp
46×associate-/r/
36×prod-exp
31×flip3-+ flip-+
8×add-log-exp
6×pow1 fma-neg
4×expm1-log1p-u un-div-inv log1p-expm1-u
3×distribute-lft-out--
2×sub-neg flip3-- diff-log flip--
1×pow1/3 pow-prod-down
Counts
4 → 48103
Calls
4 calls:
2.0ms
(cbrt t)
16.9s
(* (/ (/ (sqrt 2.0) (* (cbrt t) (cbrt t))) (* (cbrt (+ 1.0 (/ 1.0 t))) (cbrt (+ 1.0 (/ 1.0 t))))) (/ (/ (sqrt 2.0) (cbrt t)) (cbrt (+ 1.0 (/ 1.0 t)))))
31.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
19.0s
(- 2.0 (* (/ (/ (sqrt 2.0) (* (cbrt t) (cbrt t))) (* (cbrt (+ 1.0 (/ 1.0 t))) (cbrt (+ 1.0 (/ 1.0 t))))) (/ (/ (sqrt 2.0) (cbrt t)) (cbrt (+ 1.0 (/ 1.0 t))))))

series559.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(cbrt t)
147.0ms
(* (/ (/ (sqrt 2.0) (* (cbrt t) (cbrt t))) (* (cbrt (+ 1.0 (/ 1.0 t))) (cbrt (+ 1.0 (/ 1.0 t))))) (/ (/ (sqrt 2.0) (cbrt t)) (cbrt (+ 1.0 (/ 1.0 t)))))
53.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
159.0ms
(- 2.0 (* (/ (/ (sqrt 2.0) (* (cbrt t) (cbrt t))) (* (cbrt (+ 1.0 (/ 1.0 t))) (cbrt (+ 1.0 (/ 1.0 t))))) (/ (/ (sqrt 2.0) (cbrt t)) (cbrt (+ 1.0 (/ 1.0 t))))))

simplify32.1s

Algorithm
egg-herbie
Counts
48115 → 48115
Iterations

Useful iterations: 0 (853.0ms)

IterNodesCost
0397913795845

prune2.6m

Filtered
48115 candidates to 22182 candidates (46.1%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New48115048115
Fresh000
Picked011
Done000
Total48115148116

Merged error: 0b

Counts
48116 → 1

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02731
12731

end0.0ms

sample392.0ms

Algorithm
intervals
Results
299.0ms8000×body80valid