Details

Time bar (total: 2.4s)

sample14.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 5 (18.0ms)

IterNodesCost
02017
14617
212817
334017
466217
589715
6117915
7175315
8500115

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (fma (/ 2.0 (+ 1.0 t)) (* t (/ t (+ 1.0 t))) 1))
0.0b
(/ t (+ 1.0 t))
0.0b
(/ 2.0 (+ 1.0 t))
0.0b
(* t (/ t (+ 1.0 t)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
61×*-un-lft-identity
46×times-frac
44×add-sqr-sqrt
39×add-cube-cbrt
18×associate-*r*
15×add-exp-log add-cbrt-cube
11×associate-/r* distribute-lft-out
9×associate-/l*
6×pow1 associate-/r/
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u div-inv add-log-exp
3×frac-2neg flip3-+ associate-*l* clear-num flip-+
2×prod-exp cbrt-unprod unswap-sqr
1×associate-*r/ pow-prod-down *-commutative
Counts
4 → 138
Calls
4 calls:
3.0ms
(/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (fma (/ 2.0 (+ 1.0 t)) (* t (/ t (+ 1.0 t))) 1))
9.0ms
(/ t (+ 1.0 t))
5.0ms
(/ 2.0 (+ 1.0 t))
10.0ms
(* t (/ t (+ 1.0 t)))

series286.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (fma (/ 2.0 (+ 1.0 t)) (* t (/ t (+ 1.0 t))) 1))
39.0ms
(/ t (+ 1.0 t))
25.0ms
(/ 2.0 (+ 1.0 t))
32.0ms
(* t (/ t (+ 1.0 t)))

simplify61.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
04921236
120461120
250021116

prune301.0ms

Filtered
150 candidates to 111 candidates (74.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1491150
Fresh011
Picked101
Done000
Total1502152

Merged error: 0b

Counts
152 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
83×add-exp-log add-cbrt-cube
62×*-un-lft-identity
53×times-frac
34×add-sqr-sqrt
31×prod-exp cbrt-unprod
30×add-cube-cbrt
27×cbrt-undiv div-exp
24×swap-sqr
20×associate-*r* associate-*l* associate-/r/
18×pow1
14×distribute-lft-out
11×flip3-+ flip-+
10×div-inv
7×associate-/r*
4×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp
2×pow2 frac-times frac-2neg pow-plus associate-*r/ pow-prod-down associate-*l/ clear-num pow-sqr *-commutative pow-prod-up associate-/l/ unswap-sqr
Counts
4 → 198
Calls
4 calls:
6.0ms
(/ (* 2.0 t) (+ 1.0 t))
7.0ms
(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
15.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
15.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series267.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ (* 2.0 t) (+ 1.0 t))
120.0ms
(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
52.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
52.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify98.0ms

Algorithm
egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
06592306
134551849
250011815

prune288.0ms

Filtered
210 candidates to 132 candidates (62.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2100210
Fresh011
Picked011
Done000
Total2102212

Merged error: 0b

Counts
212 → 2

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 2.0 (+ 1.0 t))
0.0b
(/ t (+ 1.0 t))
0.0b
(* t (/ t (+ 1.0 t)))
2.3b
(log (exp (* t (/ t (+ 1.0 t)))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
54×*-un-lft-identity
37×add-sqr-sqrt times-frac
32×add-cube-cbrt
18×associate-*r*
13×add-exp-log add-cbrt-cube
11×distribute-lft-out
8×associate-/r*
7×pow1
6×associate-/r/ associate-/l*
5×add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×cbrt-undiv log-prod flip3-+ div-exp associate-*l* log-pow flip-+ div-inv
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×exp-prod exp-to-pow associate-*r/ rem-log-exp pow-prod-down *-commutative
Counts
4 → 125
Calls
4 calls:
5.0ms
(/ 2.0 (+ 1.0 t))
5.0ms
(/ t (+ 1.0 t))
9.0ms
(* t (/ t (+ 1.0 t)))
2.0ms
(log (exp (* t (/ t (+ 1.0 t)))))

series129.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ 2.0 (+ 1.0 t))
34.0ms
(/ t (+ 1.0 t))
37.0ms
(* t (/ t (+ 1.0 t)))
32.0ms
(log (exp (* t (/ t (+ 1.0 t)))))

simplify58.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0397668
11687597
25001588

prune339.0ms

Filtered
137 candidates to 101 candidates (73.7%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1370137
Fresh000
Picked011
Done011
Total1372139

Merged error: 0b

Counts
139 → 2

regimes49.0ms

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
01417
11417

end0.0ms

sample308.0ms

Algorithm
intervals
Results
217.0ms8000×body80valid