Details

Time bar (total: 5.8s)

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
(/ (/ 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)))))
4.0b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
4.0b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite524.0ms

Algorithm
rewrite-expression-head
Rules
1171×times-frac
1153×*-un-lft-identity
851×add-sqr-sqrt
795×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
13×flip3-+ flip-+ 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×fma-neg
4×expm1-log1p-u frac-times sub-neg associate-/r* log1p-expm1-u
3×cbrt-undiv div-exp
2×diff-log associate-*r/ associate-*l/
1×pow2 frac-2neg pow-plus pow-prod-down prod-exp clear-num pow-sqr *-commutative pow-prod-up cbrt-unprod associate-/l/ unswap-sqr
Counts
4 → 879
Calls
4 calls:
15.0ms
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
313.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
49.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
53.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series219.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
70.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
55.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
49.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify340.0ms

Algorithm
egg-herbie
Counts
891 → 891
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
0192736161
1500133972

prune1.7s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

4.0b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
4.0b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
9.9b
(+ (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- (* (/ (cbrt (/ 2.0 t)) (cbrt (+ 1.0 (/ 1.0 t)))) (/ (* (cbrt (/ 2.0 t)) (cbrt (/ 2.0 t))) (* (cbrt (+ 1.0 (/ 1.0 t))) (cbrt (+ 1.0 (/ 1.0 t)))))))) (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (pow (/ (cbrt (/ 2.0 t)) (cbrt (+ 1.0 (/ 1.0 t)))) 3)))
29.5b
(fma (* (cbrt 2.0) (cbrt 2.0)) (cbrt 2.0) (- (* (/ (cbrt (/ 2.0 t)) (cbrt (+ 1.0 (/ 1.0 t)))) (/ (* (cbrt (/ 2.0 t)) (cbrt (/ 2.0 t))) (* (cbrt (+ 1.0 (/ 1.0 t))) (cbrt (+ 1.0 (/ 1.0 t))))))))

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
534×*-un-lft-identity times-frac
392×add-sqr-sqrt
374×add-cube-cbrt
348×prod-diff
79×distribute-lft-out
67×frac-times
55×frac-add
47×associate-*l/
45×distribute-neg-frac
44×flip3-- flip--
41×associate-*r/
33×cube-div
30×div-inv
12×associate-/r/
10×add-log-exp
7×flip3-+ flip-+
6×fma-neg difference-of-squares
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
2×sub-neg diff-log distribute-lft-out--
1×+-commutative fma-def sum-log fma-udef
Counts
4 → 470
Calls
4 calls:
48.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
47.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
42.0ms
(+ (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- (* (/ (cbrt (/ 2.0 t)) (cbrt (+ 1.0 (/ 1.0 t)))) (/ (* (cbrt (/ 2.0 t)) (cbrt (/ 2.0 t))) (* (cbrt (+ 1.0 (/ 1.0 t))) (cbrt (+ 1.0 (/ 1.0 t)))))))) (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (pow (/ (cbrt (/ 2.0 t)) (cbrt (+ 1.0 (/ 1.0 t)))) 3)))
0.0ms
(fma (* (cbrt 2.0) (cbrt 2.0)) (cbrt 2.0) (- (* (/ (cbrt (/ 2.0 t)) (cbrt (+ 1.0 (/ 1.0 t)))) (/ (* (cbrt (/ 2.0 t)) (cbrt (/ 2.0 t))) (* (cbrt (+ 1.0 (/ 1.0 t))) (cbrt (+ 1.0 (/ 1.0 t))))))))

series232.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
50.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
4.0ms
(+ (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- (* (/ (cbrt (/ 2.0 t)) (cbrt (+ 1.0 (/ 1.0 t)))) (/ (* (cbrt (/ 2.0 t)) (cbrt (/ 2.0 t))) (* (cbrt (+ 1.0 (/ 1.0 t))) (cbrt (+ 1.0 (/ 1.0 t)))))))) (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (pow (/ (cbrt (/ 2.0 t)) (cbrt (+ 1.0 (/ 1.0 t)))) 3)))
131.0ms
(fma (* (cbrt 2.0) (cbrt 2.0)) (cbrt 2.0) (- (* (/ (cbrt (/ 2.0 t)) (cbrt (+ 1.0 (/ 1.0 t)))) (/ (* (cbrt (/ 2.0 t)) (cbrt (/ 2.0 t))) (* (cbrt (+ 1.0 (/ 1.0 t))) (cbrt (+ 1.0 (/ 1.0 t))))))))

simplify214.0ms

Algorithm
egg-herbie
Counts
482 → 482
Iterations

Useful iterations: 1 (53.0ms)

IterNodesCost
0251420436
1500116366

prune1.7s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes101.0ms

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
01414
11414

end0.0ms

sample423.0ms

Algorithm
intervals
Results
324.0ms8000×body80valid