Details

Time bar (total: 3.2s)

sample23.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
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
(/ 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)))))
4.0b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
4.0b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite343.0ms

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:
4.0ms
(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
265.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
37.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
33.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series271.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
66.0ms
(* (- 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))))

simplify63.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04421821
118111700
250021639

prune267.0ms

Filtered
124 candidates to 88 candidates (71.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) 3)
0.1b
(cbrt (pow (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) 3))
4.0b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
4.0b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite209.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
22×*-un-lft-identity
20×cbrt-prod
18×times-frac difference-of-squares
14×unpow-prod-down cube-prod
10×add-cube-cbrt
8×add-log-exp
6×distribute-lft-out--
5×pow1 add-exp-log add-cbrt-cube
4×cube-div flip3-- flip--
3×pow-unpow
2×cube-mult sub-neg cbrt-div diff-log unpow3 sqr-pow
1×pow-to-exp pow-pow pow1/3 pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
4 → 96
Calls
4 calls:
67.0ms
(pow (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) 3)
69.0ms
(cbrt (pow (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) 3))
35.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
33.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series221.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(pow (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) 3)
45.0ms
(cbrt (pow (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) 3))
49.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
48.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify44.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
03241103
112401051
250011037

prune238.0ms

Filtered
108 candidates to 67 candidates (62.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (pow (/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))) 3))
0.5b
(pow (/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))) 3)
4.0b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
4.0b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
52×add-sqr-sqrt
42×times-frac
38×*-un-lft-identity
36×cbrt-prod
34×add-cube-cbrt
30×unpow-prod-down cube-prod
8×associate-/r/ add-log-exp
7×add-exp-log add-cbrt-cube
6×difference-of-squares
5×pow1
4×flip3-+ flip-+ div-inv
3×pow-unpow
2×cube-div cube-mult sub-neg flip3-- diff-log unpow3 pow-exp flip-- distribute-lft-out-- rem-cube-cbrt sqr-pow
1×cbrt-undiv pow-to-exp cbrt-div pow-pow pow1/3 div-exp rem-cbrt-cube
Counts
4 → 128
Calls
4 calls:
6.0ms
(cbrt (pow (/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))) 3))
8.0ms
(pow (/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))) 3)
32.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
36.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series481.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(cbrt (pow (/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))) 3))
275.0ms
(pow (/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))) 3)
51.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
46.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify76.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05502896
122062687
250022657

prune263.0ms

Filtered
140 candidates to 79 candidates (56.4%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes68.0ms

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
01816
11816

end0.0ms

sample402.0ms

Algorithm
intervals
Results
314.0ms8000×body80valid