Details

Time bar (total: 2.6s)

sample17.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 5 (20.0ms)

IterNodesCost
02017
14617
212817
334017
466217
589715
6117915
7175315
8500115

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

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)))

rewrite56.0ms

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))
8.0ms
(/ (+ 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)))))
19.0ms
(* (/ (* 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)))

series260.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ (* 2.0 t) (+ 1.0 t))
123.0ms
(/ (+ 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)))))
47.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
53.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify100.0ms

Algorithm
egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
06592306
134551849
250011815

prune309.0ms

Filtered
210 candidates to 132 candidates (62.9%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New2082210
Fresh000
Picked101
Done000
Total2092211

Merged error: 0b

Counts
211 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

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)))
0.5b
(log1p (expm1 (/ (+ 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)))))))
0.6b
(expm1 (/ (+ 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))))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
76×add-exp-log add-cbrt-cube
48×*-un-lft-identity
40×times-frac
30×prod-exp cbrt-unprod
24×cbrt-undiv add-sqr-sqrt swap-sqr div-exp
20×add-cube-cbrt associate-*r* associate-*l*
18×pow1
16×associate-/r/
12×distribute-lft-out
8×flip3-+ flip-+ div-inv
5×log1p-expm1-u
4×expm1-log1p-u add-log-exp
2×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up unswap-sqr
1×log1p-udef expm1-log1p log1p-expm1 expm1-udef
Counts
4 → 160
Calls
4 calls:
16.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
16.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
1.0ms
(log1p (expm1 (/ (+ 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)))))))
1.0ms
(expm1 (/ (+ 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))))))

series514.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
47.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
244.0ms
(log1p (expm1 (/ (+ 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)))))))
171.0ms
(expm1 (/ (+ 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))))))

simplify76.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05311880
126071468
250011391

prune290.0ms

Filtered
172 candidates to 100 candidates (58.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1720172
Fresh011
Picked011
Done000
Total1722174

Merged error: 0b

Counts
174 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (pow t 3))
8.5b
(fma (pow t 2) 1.0 (- 0.5 (* 2.0 (pow t 3))))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*r*
7×add-exp-log
6×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down cube-prod add-cbrt-cube unswap-sqr
3×associate-*l* prod-exp
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp sqr-pow
1×cube-mult pow-to-exp unpow3 pow-exp *-commutative cbrt-unprod fma-udef
Counts
2 → 43
Calls
2 calls:
6.0ms
(* 2.0 (pow t 3))
1.0ms
(fma (pow t 2) 1.0 (- 0.5 (* 2.0 (pow t 3))))

series75.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* 2.0 (pow t 3))
41.0ms
(fma (pow t 2) 1.0 (- 0.5 (* 2.0 (pow t 3))))

simplify204.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 3 (199.0ms)

IterNodesCost
0149210
1622185
24372185
35001182

prune94.0ms

Filtered
49 candidates to 33 candidates (67.3%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New49049
Fresh000
Picked011
Done011
Total49251

Merged error: 0b

Counts
51 → 2

regimes47.0ms

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
01619
11619

end0.0ms

sample378.0ms

Algorithm
intervals
Results
285.0ms8000×body80valid

Profiling

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