Details

Time bar (total: 3.4s)

sample20.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify93.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02014
13714
28414
325214
462314
5141314
6381414
7500114

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

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)))))
3.9b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
3.9b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite528.0ms

Algorithm
rewrite-expression-head
Rules
115×times-frac
113×add-sqr-sqrt
103×*-un-lft-identity
57×add-cube-cbrt
18×difference-of-squares
14×distribute-lft-out
13×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×div-inv
4×frac-times sub-neg associate-/r*
3×cbrt-undiv div-exp
2×distribute-rgt-in distribute-lft-in diff-log associate-*r/ associate-*l/ associate-/r/
1×pow2 frac-2neg flip3-+ pow-plus pow-prod-down prod-exp clear-num pow-sqr *-commutative pow-prod-up cbrt-unprod flip-+ associate-/l/ unswap-sqr
Counts
4 → 169
Calls
4 calls:
27.0ms
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
391.0ms
(* (- 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))))
50.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series182.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
58.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
39.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
44.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify81.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06612029
129311895
250011844

prune389.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- (* 2.0 2.0) (* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))) (+ 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
0.1b
(* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
3.9b
(- (* 2.0 2.0) (* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
3.9b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite416.0ms

Algorithm
rewrite-expression-head
Rules
465×times-frac
390×*-un-lft-identity
247×add-sqr-sqrt
202×add-cube-cbrt
84×swap-sqr
80×distribute-lft-out
58×associate-*r* associate-*l*
45×add-exp-log add-cbrt-cube
25×div-inv
20×cbrt-undiv div-exp
11×pow1
10×prod-exp associate-/r/ cbrt-unprod
9×unswap-sqr
8×flip3-- flip-- associate-/l/ add-log-exp
5×frac-times flip3-+ flip-+
4×associate-/r* difference-of-squares
3×associate-*r/ associate-*l/
2×sub-neg diff-log
1×pow2 frac-2neg pow-plus pow-prod-down clear-num pow-sqr *-commutative pow-prod-up associate-/l* distribute-lft-out--
Counts
4 → 305
Calls
4 calls:
173.0ms
(/ (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- (* 2.0 2.0) (* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))) (+ 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
159.0ms
(* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
8.0ms
(- (* 2.0 2.0) (* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
52.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series341.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(/ (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- (* 2.0 2.0) (* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))) (+ 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
51.0ms
(* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
49.0ms
(- (* 2.0 2.0) (* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
47.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify85.0ms

Algorithm
egg-herbie
Counts
317 → 317
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
016925102
150014677

prune738.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02126
12126

end0.0ms

sample446.0ms

Algorithm
intervals
Results
326.0ms8000×body80valid