Details

Time bar (total: 3.5s)

analyze353.0ms

Algorithm
search

sample23.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify91.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02014
13714
28414
325214
462314
5141314
6381414
7500114

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

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)))))
3.8b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
3.8b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite98.0ms

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)))))))
47.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
20.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
22.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series18.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
4.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
3.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
4.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify62.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04421821
118111700
250011639

prune264.0ms

Filtered
88 candidates to 124 candidates (-40.9%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1222124
Fresh000
Picked101
Done000
Total1232125

Merged error: 0b

Counts
125 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (neg (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
3.8b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
3.8b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
3.8b
(+ (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) 2.0) (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (neg (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
185×times-frac
148×*-un-lft-identity
120×associate-*r*
119×add-sqr-sqrt
90×add-cube-cbrt
58×distribute-lft-neg-in distribute-rgt-neg-in
27×distribute-lft-out
16×associate-*l/
13×flip3-- flip--
10×frac-add div-inv add-log-exp
9×distribute-neg-frac difference-of-squares
7×associate-*l*
6×pow1 add-exp-log frac-times add-cbrt-cube
4×associate-/r/
3×flip3-+ associate-*r/ distribute-rgt-neg-out flip-+ distribute-lft-out--
2×sub-neg diff-log
1×+-commutative neg-mul-1 unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
4 → 201
Calls
4 calls:
58.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (neg (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
20.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
22.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
25.0ms
(+ (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) 2.0) (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (neg (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))

series21.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (neg (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
3.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
3.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
7.0ms
(+ (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) 2.0) (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (neg (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))

simplify59.0ms

Algorithm
egg-herbie
Counts
213 → 213
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010933236
150023006

prune748.0ms

Filtered
159 candidates to 213 candidates (-34.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2130213
Fresh011
Picked011
Done000
Total2132215

Merged error: 0b

Counts
215 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
0.0b
(/ 1.0 (+ 2.0 (exp (* 2 (log (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))))
0.2b
(exp (* 2 (log (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
3.8b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
118×times-frac
106×*-un-lft-identity
91×add-sqr-sqrt
64×add-cube-cbrt
18×distribute-lft-out
16×associate-/l*
14×log-prod exp-sum
11×add-exp-log add-cbrt-cube
9×difference-of-squares
8×associate-/r* add-log-exp
7×distribute-rgt-in distribute-lft-in div-inv
4×pow1 cbrt-undiv div-exp associate-/r/
3×distribute-lft-out--
2×frac-2neg flip3-+ clear-num flip-+
1×sub-neg exp-prod flip3-- exp-to-pow diff-log flip-- rem-exp-log associate-/l/
Counts
4 → 159
Calls
4 calls:
10.0ms
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
27.0ms
(/ 1.0 (+ 2.0 (exp (* 2 (log (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))))
25.0ms
(exp (* 2 (log (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
21.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series18.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
7.0ms
(/ 1.0 (+ 2.0 (exp (* 2 (log (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))))
4.0ms
(exp (* 2 (log (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
4.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify75.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
07791838
131151726
250011712

prune348.0ms

Filtered
119 candidates to 171 candidates (-43.7%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1710171
Fresh000
Picked011
Done011
Total1712173

Merged error: 0b

Counts
173 → 2

regimes76.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02421
13021
23121
33121

end0.0ms

analyze347.0ms

Algorithm
search

sample643.0ms

Algorithm
intervals
Results
544.0ms8000×body80valid

Profiling

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