Details

Time bar (total: 9.4s)

sample19.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02014
13814
28714
327414
473714
5180114
6500214

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)))))
3.3b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
3.3b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite643.0ms

Algorithm
rewrite-expression-head
Rules
1084×*-un-lft-identity
1083×times-frac
810×add-sqr-sqrt
754×add-cube-cbrt
696×prod-diff
176×distribute-rgt-in distribute-lft-in
156×distribute-lft-out
61×div-inv
26×associate-/r/
18×difference-of-squares
13×flip3-+ flip-+
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*
6×fma-neg
4×expm1-log1p-u frac-times sub-neg log1p-expm1-u
3×associate-/r* associate-/l*
2×diff-log associate-*r/ associate-*l/
1×cbrt-undiv pow2 frac-2neg pow-plus div-exp pow-prod-down prod-exp clear-num pow-sqr *-commutative pow-prod-up cbrt-unprod unswap-sqr
Counts
4 → 822
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)))))))
424.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
65.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
67.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series269.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
63.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
44.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
57.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify308.0ms

Algorithm
egg-herbie
Counts
834 → 834
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
0193935970
1500133778

prune1.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
0.0b
(/ 1.0 (fma (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) 2.0))
3.3b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
3.3b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite203.0ms

Algorithm
rewrite-expression-head
Rules
640×times-frac
619×*-un-lft-identity
449×add-sqr-sqrt
431×add-cube-cbrt
348×prod-diff
92×distribute-lft-out
37×div-inv
16×associate-/l*
14×associate-/r/
11×add-exp-log add-cbrt-cube
8×add-log-exp
7×flip3-+ associate-/r* flip-+
6×fma-neg difference-of-squares
4×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u
2×sub-neg flip3-- frac-2neg diff-log clear-num flip-- distribute-lft-out--
1×associate-/l/
Counts
4 → 507
Calls
4 calls:
26.0ms
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
5.0ms
(/ 1.0 (fma (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) 2.0))
65.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
67.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series268.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
130.0ms
(/ 1.0 (fma (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) 2.0))
45.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
52.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify150.0ms

Algorithm
egg-herbie
Counts
519 → 519
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
0150316765
1500112824

prune993.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(expm1 (/ 1.0 (fma (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) 2.0)))
0.0b
(/ 1.0 (fma (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) 2.0))
3.3b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
3.3b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
543×times-frac
542×*-un-lft-identity
400×add-sqr-sqrt
382×add-cube-cbrt
348×prod-diff
78×distribute-lft-out
31×div-inv
12×associate-/r/
8×add-log-exp
6×add-exp-log flip3-+ fma-neg add-cbrt-cube flip-+ difference-of-squares
5×log1p-expm1-u
4×pow1 expm1-log1p-u
3×associate-/r* associate-/l*
2×sub-neg flip3-- diff-log flip-- distribute-lft-out--
1×cbrt-undiv expm1-log1p frac-2neg div-exp clear-num expm1-udef
Counts
4 → 430
Calls
4 calls:
0.0ms
(expm1 (/ 1.0 (fma (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) 2.0)))
5.0ms
(/ 1.0 (fma (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) 2.0))
64.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
65.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series552.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(expm1 (/ 1.0 (fma (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) 2.0)))
277.0ms
(/ 1.0 (fma (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) 2.0))
50.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
45.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify139.0ms

Algorithm
egg-herbie
Counts
442 → 442
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
0143816157
1500112210

prune943.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

3.3b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
3.3b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
3.3b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
3.3b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite336.0ms

Algorithm
rewrite-expression-head
Rules
1068×times-frac
1064×*-un-lft-identity
780×add-sqr-sqrt
744×add-cube-cbrt
696×prod-diff
156×distribute-lft-out
60×div-inv
24×associate-/r/
12×flip3-+ fma-neg flip-+ add-log-exp difference-of-squares
4×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out--
Counts
4 → 780
Calls
4 calls:
65.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
66.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
66.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
67.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series193.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
50.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
44.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
55.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify307.0ms

Algorithm
egg-herbie
Counts
792 → 792
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
0127330716
1498121876
2500121868

prune2.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01916
12116
22116

end0.0ms

sample425.0ms

Algorithm
intervals
Results
308.0ms8000×body80valid