Details

Time bar (total: 2.5s)

sample20.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify94.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize16.0ms

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)))))
2.4b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.4b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite103.0ms

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:
5.0ms
(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
51.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
22.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
21.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series274.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
67.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
46.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
50.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify69.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04421821
118111700
250011639

prune218.0ms

Filtered
124 candidates to 88 candidates (71.0%)
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:

0.5b
(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)
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))
2.4b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.4b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite63.0ms

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
(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)
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))
24.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
21.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series342.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(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)
113.0ms
(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))
44.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
50.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify80.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05502896
122062687
250022657

prune224.0ms

Filtered
140 candidates to 79 candidates (56.4%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1400140
Fresh011
Picked011
Done000
Total1402142

Merged error: 0b

Counts
142 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 4.0 (pow t 2))
0.0b
(* 12.0 (pow t 4))
0.0b
(/ 1.0 (+ 2.0 (- (+ (* 4.0 (pow t 2)) (* 12.0 (pow t 4))) (* 8.0 (pow t 3)))))
6.8b
(- (+ (* 4.0 (pow t 2)) (* 12.0 (pow t 4))) (* 8.0 (pow t 3)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
27×*-un-lft-identity
19×add-cube-cbrt
16×add-exp-log
15×associate-*r*
12×times-frac
10×add-cbrt-cube
9×add-log-exp
8×unpow-prod-down
7×unswap-sqr
6×associate-*l* prod-exp
4×pow1 associate-/r* distribute-lft-out sqr-pow
3×associate-/l*
2×pow-to-exp diff-log pow-exp associate-/r/ *-commutative cbrt-unprod unpow2
1×cbrt-undiv sub-neg flip3-- frac-2neg flip3-+ div-exp associate--l+ clear-num sum-log flip-- flip-+ div-inv
Counts
4 → 99
Calls
4 calls:
6.0ms
(* 4.0 (pow t 2))
5.0ms
(* 12.0 (pow t 4))
8.0ms
(/ 1.0 (+ 2.0 (- (+ (* 4.0 (pow t 2)) (* 12.0 (pow t 4))) (* 8.0 (pow t 3)))))
8.0ms
(- (+ (* 4.0 (pow t 2)) (* 12.0 (pow t 4))) (* 8.0 (pow t 3)))

series160.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 4.0 (pow t 2))
40.0ms
(* 12.0 (pow t 4))
55.0ms
(/ 1.0 (+ 2.0 (- (+ (* 4.0 (pow t 2)) (* 12.0 (pow t 4))) (* 8.0 (pow t 3)))))
41.0ms
(- (+ (* 4.0 (pow t 2)) (* 12.0 (pow t 4))) (* 8.0 (pow t 3)))

simplify57.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0448944
11813875
25001875

prune234.0ms

Filtered
111 candidates to 72 candidates (64.9%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1110111
Fresh000
Picked011
Done011
Total1112113

Merged error: 0b

Counts
113 → 2

regimes69.0ms

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
01716
11716

end0.0ms

sample455.0ms

Algorithm
intervals
Results
362.0ms8000×body80valid

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