Details

Time bar (total: 8.0s)

analyze1.1s

Algorithm
search

sample45.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
11.0ms165×body80invalid

simplify437.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05114
115514
266714
3312514
4500214

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.6b

Counts
2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

2.3b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
6.4b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
6.6b
(* (* (* w w) r) r)
9.6b
(* (* w w) r)

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
92×add-exp-log add-cbrt-cube
57×prod-exp cbrt-unprod
50×pow1
33×pow-prod-down
13×add-sqr-sqrt
12×*-un-lft-identity
9×cbrt-undiv div-exp
8×add-cube-cbrt
7×associate-*r*
5×times-frac associate-/r*
4×associate-*r/ associate-*l/ add-log-exp
3×flip3-- associate-*l* *-commutative flip--
2×associate-/r/ associate-/l/ distribute-lft-out-- difference-of-squares
1×frac-2neg clear-num div-inv associate-/l* unswap-sqr
Counts
4 → 119
Calls
4 calls:
12.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
33.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
7.0ms
(* (* (* w w) r) r)
7.0ms
(* (* w w) r)

series61.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
23.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
7.0ms
(* (* (* w w) r) r)
11.0ms
(* (* w w) r)

simplify111.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
06701303
13876935
25003931

prune170.0ms

Filtered
61 candidates to 131 candidates (-114.8%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1247131
Fresh000
Picked101
Done000
Total1257132

Merged error: 2.5b

Counts
132 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (fabs (* w r)) (fabs (* w r)))
0.7b
(/ 2.0 (* r r))
2.3b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
6.4b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log add-cbrt-cube
23×pow1
18×add-sqr-sqrt prod-exp cbrt-unprod
16×*-un-lft-identity
12×add-cube-cbrt
9×pow-prod-down
8×times-frac
7×cbrt-undiv div-exp
6×associate-/r*
4×associate-*r/ associate-*r* associate-*l* associate-*l/ associate-/l* add-log-exp
3×flip3-- swap-sqr flip--
2×frac-2neg clear-num associate-/r/ *-commutative div-inv associate-/l/ distribute-lft-out-- difference-of-squares
1×pow2 pow-plus pow-sqr pow-prod-up unswap-sqr
Counts
4 → 105
Calls
4 calls:
3.0ms
(* (fabs (* w r)) (fabs (* w r)))
4.0ms
(/ 2.0 (* r r))
8.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
12.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

series44.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (fabs (* w r)) (fabs (* w r)))
3.0ms
(/ 2.0 (* r r))
13.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
25.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

simplify70.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05591085
12754841
25001821

prune221.0ms

Filtered
70 candidates to 117 candidates (-67.1%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New10512117
Fresh426
Picked101
Done000
Total11014124

Merged error: 0.1b

Counts
124 → 14

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
0.3b
(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))
0.4b
(pow (fabs (* w r)) 2)
0.7b
(/ 2.0 (* r r))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
924×times-frac
381×add-sqr-sqrt *-un-lft-identity
299×add-cube-cbrt
171×unpow-prod-down
119×add-exp-log
101×associate-/r*
83×associate-/r/
82×associate-*r/ div-exp
57×unpow2 sqr-pow
48×div-inv
41×flip3-- flip-- distribute-lft-out-- difference-of-squares
32×add-cbrt-cube
17×associate-/l*
16×cbrt-undiv
13×pow-to-exp pow-exp prod-exp
10×rec-exp 1-exp
6×pow1
4×add-log-exp
3×pow-unpow frac-2neg clear-num cbrt-unprod
2×div-sub
1×pow-flip pow-pow associate-/l/ inv-pow
Counts
4 → 588
Calls
4 calls:
12.0ms
(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
25.0ms
(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))
2.0ms
(pow (fabs (* w r)) 2)
5.0ms
(/ 2.0 (* r r))

series56.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
22.0ms
(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))
3.0ms
(pow (fabs (* w r)) 2)
3.0ms
(/ 2.0 (* r r))

simplify134.0ms

Algorithm
egg-herbie
Counts
600 → 600
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
021039954
150019025

prune1.3s

Filtered
294 candidates to 600 candidates (-104.1%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New5937600
Fresh10313
Picked101
Done000
Total60410614

Merged error: 0.1b

Counts
614 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
0.2b
(/ (/ 2.0 r) r)
0.3b
(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))
0.4b
(pow (fabs (* w r)) 2)

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
996×times-frac
421×add-sqr-sqrt *-un-lft-identity
339×add-cube-cbrt
171×unpow-prod-down
119×add-exp-log
103×associate-/r*
83×div-exp associate-/r/
82×associate-*r/
57×unpow2 sqr-pow
52×div-inv
41×flip3-- flip-- distribute-lft-out-- difference-of-squares
32×add-cbrt-cube
27×associate-/l*
17×cbrt-undiv
13×pow-to-exp pow-exp
12×prod-exp
10×rec-exp 1-exp
6×pow1
4×add-log-exp
3×pow-unpow frac-2neg clear-num
2×div-sub cbrt-unprod associate-/l/
1×pow-flip pow-pow inv-pow
Counts
4 → 637
Calls
4 calls:
12.0ms
(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
6.0ms
(/ (/ 2.0 r) r)
27.0ms
(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))
2.0ms
(pow (fabs (* w r)) 2)

series50.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
3.0ms
(/ (/ 2.0 r) r)
20.0ms
(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))
4.0ms
(pow (fabs (* w r)) 2)

simplify138.0ms

Algorithm
egg-herbie
Counts
649 → 649
Iterations

Useful iterations: 1 (41.0ms)

IterNodesCost
0231210317
150019461

prune1.4s

Filtered
338 candidates to 649 candidates (-92.0%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New6463649
Fresh099
Picked011
Done000
Total64613659

Merged error: 0.0b

Counts
659 → 13

regimes396.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03115
13115

end0.0ms

analyze869.0ms

Algorithm
search

sample1.2s

Algorithm
intervals
Results
543.0ms8000×body80valid
333.0ms4927×body80invalid

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