Details

Time bar (total: 2.0s)

sample19.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify89.0ms

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

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
0.0b
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
1.9b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
1.9b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
200×times-frac
162×*-un-lft-identity
120×add-sqr-sqrt
102×add-cube-cbrt
28×distribute-lft-out
26×associate-/l*
14×add-exp-log add-cbrt-cube
12×div-inv
8×associate-/r* add-log-exp
6×cbrt-undiv div-exp difference-of-squares
4×pow1 associate-/r/
2×sub-neg flip3-- frac-2neg flip3-+ diff-log clear-num flip-- flip-+ associate-/l/ distribute-lft-out--
Counts
4 → 204
Calls
4 calls:
10.0ms
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
10.0ms
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
21.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
24.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series178.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
45.0ms
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
44.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
49.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify64.0ms

Algorithm
egg-herbie
Counts
216 → 216
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
04951986
118961910
250021910

prune494.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (sqrt (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))) (sqrt (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))
1.9b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
1.9b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
1.9b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
87×add-sqr-sqrt
38×sqrt-prod
32×*-un-lft-identity
21×times-frac difference-of-squares
19×pow1
14×swap-sqr
12×add-cube-cbrt sqrt-div
10×associate-*r* associate-*l* add-log-exp
9×flip3-- flip-- distribute-lft-out--
8×sqrt-pow1 pow1/2
6×add-exp-log add-cbrt-cube
5×pow-prod-up
4×frac-times unswap-sqr
3×sub-neg diff-log pow-prod-down pow-sqr
2×associate-*r/ associate-*l/
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 119
Calls
4 calls:
48.0ms
(* (sqrt (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))) (sqrt (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))
20.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
20.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
24.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series186.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* (sqrt (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))) (sqrt (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))
48.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
44.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
49.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify50.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
02511379
18961265
250011225

prune318.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01722
11722

end0.0ms

sample403.0ms

Algorithm
intervals
Results
302.0ms8000×body80valid