Details

Time bar (total: 3.0s)

analyze638.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
0%99.9%0.1%7
0%99.9%0.1%8
12.5%85.8%1.7%9
16.4%79.2%4.4%10
20.7%72.4%7%11
32.6%53.3%14.1%12
36%45.5%18.5%13
38.3%41.1%20.6%14

sample31.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
4.0ms100×body80invalid

simplify67.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
0510013

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- x z) y)
0.0b
(+ y (* (+ x z) (/ (- x z) y)))
0.2b
(/ (+ y (* (+ x z) (/ (- x z) y))) 2.0)
0.3b
(* (+ x z) (/ (- x z) y))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
48×*-un-lft-identity
40×times-frac
32×add-cube-cbrt
19×associate-*r*
13×add-exp-log add-cbrt-cube
8×associate-/l*
7×distribute-lft-out-- difference-of-squares
6×pow1 associate-/r* add-log-exp
4×flip3-+ associate-*l* flip-+ associate-/l/
3×cbrt-undiv div-exp div-inv
2×frac-times frac-2neg associate-*l/ prod-exp clear-num cbrt-unprod unswap-sqr
1×+-commutative flip3-- div-sub associate-*r/ pow-prod-down sum-log *-commutative flip-- distribute-lft-out
Counts
4 → 121
Calls
4 calls:
6.0ms
(/ (- x z) y)
4.0ms
(+ y (* (+ x z) (/ (- x z) y)))
5.0ms
(/ (+ y (* (+ x z) (/ (- x z) y))) 2.0)
12.0ms
(* (+ x z) (/ (- x z) y))

series45.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ (- x z) y)
11.0ms
(+ y (* (+ x z) (/ (- x z) y)))
14.0ms
(/ (+ y (* (+ x z) (/ (- x z) y))) 2.0)
13.0ms
(* (+ x z) (/ (- x z) y))

simplify49.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
057721688

prune154.0ms

Filtered
95 candidates to 133 candidates (-40.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1249133
Fresh101
Picked011
Done000
Total12510135

Merged error: 0.3b

Counts
135 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* (+ x z) (/ (- x z) y)))
0.2b
(/ 1 (/ 2.0 (+ y (* (+ x z) (/ (- x z) y)))))
0.3b
(* (+ x z) (/ (- x z) y))
0.3b
(/ 2.0 (+ y (* (+ x z) (/ (- x z) y))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
106×times-frac
77×add-sqr-sqrt
74×*-un-lft-identity
66×add-cube-cbrt
22×add-exp-log
19×associate-*r*
18×associate-/r*
16×add-cbrt-cube
11×associate-/r/
9×div-exp
8×flip3-+ flip-+
7×pow1 div-inv
6×associate-/l* add-log-exp
5×cbrt-undiv
4×associate-*l*
3×distribute-lft-out-- difference-of-squares
2×frac-times rec-exp frac-2neg 1-exp associate-*l/ prod-exp clear-num cbrt-unprod unswap-sqr
1×+-commutative pow-flip associate-*r/ pow-prod-down sum-log *-commutative distribute-lft-out inv-pow
Counts
4 → 167
Calls
4 calls:
4.0ms
(+ y (* (+ x z) (/ (- x z) y)))
7.0ms
(/ 1 (/ 2.0 (+ y (* (+ x z) (/ (- x z) y)))))
11.0ms
(* (+ x z) (/ (- x z) y))
5.0ms
(/ 2.0 (+ y (* (+ x z) (/ (- x z) y))))

series52.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(+ y (* (+ x z) (/ (- x z) y)))
14.0ms
(/ 1 (/ 2.0 (+ y (* (+ x z) (/ (- x z) y)))))
10.0ms
(* (+ x z) (/ (- x z) y))
16.0ms
(/ 2.0 (+ y (* (+ x z) (/ (- x z) y))))

simplify57.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
049743381
149743381

prune190.0ms

Filtered
119 candidates to 179 candidates (-50.4%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1790179
Fresh088
Picked011
Done011
Total17910189

Merged error: 0.3b

Counts
189 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.5b
(cbrt y)
0.6b
(* (cbrt y) (cbrt y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
5.0ms
(* (cbrt y) (cbrt y))

series105.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(cbrt y)
30.0ms
(cbrt y)
21.0ms
(cbrt y)
24.0ms
(* (cbrt y) (cbrt y))

simplify45.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05165356

prune101.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New84185
Fresh077
Picked011
Done022
Total841195

Merged error: 0.2b

Counts
95 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.6b
(cbrt (- x z))
0.6b
(cbrt (- x z))
0.6b
(cbrt (- x z))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt
6×cbrt-div
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 56
Calls
4 calls:
1.0ms
(cbrt y)
3.0ms
(cbrt (- x z))
3.0ms
(cbrt (- x z))
3.0ms
(cbrt (- x z))

series112.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
28.0ms
(cbrt (- x z))
37.0ms
(cbrt (- x z))
26.0ms
(cbrt (- x z))

simplify61.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04882480
14882480

prune74.0ms

Filtered
52 candidates to 68 candidates (-30.8%)
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New68068
Fresh077
Picked011
Done033
Total681179

Merged error: 0.2b

Counts
79 → 11

regimes363.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02313
12313

end0.0ms

sample736.0ms

Algorithm
intervals
Results
353.0ms8000×body80valid
129.0ms2907×body80invalid

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