Details

Time bar (total: 4.6s)

sample20.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify91.0ms

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

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 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)))))
2.5b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.5b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite457.0ms

Algorithm
rewrite-expression-head
Rules
72×add-sqr-sqrt
34×*-un-lft-identity
27×times-frac
18×difference-of-squares
16×add-cube-cbrt
11×pow1
9×swap-sqr
8×add-exp-log flip3-- add-cbrt-cube flip-- distribute-lft-out-- add-log-exp
7×associate-*r* associate-*l*
4×frac-times sub-neg
3×associate-/r* associate-/l*
2×distribute-rgt-in distribute-lft-in diff-log associate-*r/ associate-*l/ associate-/r/
1×cbrt-undiv pow2 frac-2neg flip3-+ pow-plus div-exp pow-prod-down prod-exp clear-num pow-sqr *-commutative pow-prod-up cbrt-unprod flip-+ div-inv unswap-sqr
Counts
4 → 112
Calls
4 calls:
9.0ms
(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
350.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
45.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
49.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series268.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
60.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
50.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
46.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify60.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04421821
118111700
250021639

prune409.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3)
0.2b
(* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.5b
(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))
2.5b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite402.0ms

Algorithm
rewrite-expression-head
Rules
661×times-frac
531×*-un-lft-identity
406×add-sqr-sqrt
285×add-cube-cbrt
104×distribute-lft-out
84×swap-sqr
82×unpow-prod-down cube-prod
58×associate-*r* associate-*l*
46×add-exp-log add-cbrt-cube
35×difference-of-squares
34×div-inv
21×cbrt-undiv div-exp
13×sqr-pow
12×pow1 associate-/r/
9×prod-exp cbrt-unprod unswap-sqr
8×add-log-exp
6×flip3-+ flip-+ distribute-lft-out--
3×pow-unpow pow-exp rem-cube-cbrt
2×sub-neg flip3-- diff-log flip--
1×difference-cubes cube-div pow2 cube-mult frac-times pow-to-exp pow-pow pow-plus unpow3 associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up
Counts
4 → 447
Calls
4 calls:
30.0ms
(pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3)
141.0ms
(* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
146.0ms
(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))
47.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series236.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3)
53.0ms
(* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
66.0ms
(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))
51.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify93.0ms

Algorithm
egg-herbie
Counts
459 → 459
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
021256169
150025860

prune1.2s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt 2.0)
1.0b
(cbrt 2.0)
2.5b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
24.0b
(- (pow 2.0 3) (* (pow (/ (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt t) (cbrt t))) (* (cbrt (+ 1.0 (/ 1.0 t))) (cbrt (+ 1.0 (/ 1.0 t))))) 3) (pow (/ (/ (cbrt 2.0) (cbrt t)) (cbrt (+ 1.0 (/ 1.0 t)))) 3)))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
8×*-un-lft-identity add-log-exp
7×times-frac
6×cbrt-prod add-cube-cbrt
4×pow1 add-exp-log add-cbrt-cube
3×difference-cubes difference-of-squares
2×sub-neg flip3-- pow1/3 diff-log pow3 flip--
1×unpow-prod-down cube-prod pow-prod-down distribute-lft-out--
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt 2.0)
1.0ms
(cbrt 2.0)
44.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
113.0ms
(- (pow 2.0 3) (* (pow (/ (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt t) (cbrt t))) (* (cbrt (+ 1.0 (/ 1.0 t))) (cbrt (+ 1.0 (/ 1.0 t))))) 3) (pow (/ (/ (cbrt 2.0) (cbrt t)) (cbrt (+ 1.0 (/ 1.0 t)))) 3)))

series253.0ms

Counts
4 → 8
Calls
4 calls:
0.0ms
(cbrt 2.0)
0.0ms
(cbrt 2.0)
45.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
208.0ms
(- (pow 2.0 3) (* (pow (/ (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt t) (cbrt t))) (* (cbrt (+ 1.0 (/ 1.0 t))) (cbrt (+ 1.0 (/ 1.0 t))))) 3) (pow (/ (/ (cbrt 2.0) (cbrt t)) (cbrt (+ 1.0 (/ 1.0 t)))) 3)))

simplify55.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0372999
11543801
25002710

prune361.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04154
14154

end0.0ms

sample454.0ms

Algorithm
intervals
Results
327.0ms8000×body80valid