Details

Time bar (total: 2.9s)

analyze529.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
3.1%96.7%0.2%8
19.9%79.9%0.2%9
22.8%77%0.2%10
35.1%64.7%0.2%11
45%54.8%0.2%12
53.8%45.1%1.2%13
56.2%42.4%1.5%14

sample19.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
1.0ms24×body80invalid

simplify174.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (168.0ms)

IterNodesCost
054039

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: 0.1b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
1.2b
(* (/ (- x y) (- z y)) t)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
7.0ms
(/ (- x y) (- z y))
12.0ms
(* (/ (- x y) (- z y)) t)

series33.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(/ (- x y) (- z y))
23.0ms
(* (/ (- x y) (- z y)) t)

simplify50.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
056491183

prune113.0ms

Filtered
71 candidates to 108 candidates (-52.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1017108
Fresh011
Picked011
Done000
Total1019110

Merged error: 0b

Counts
110 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))
10.0ms
(* (cbrt (- z y)) (cbrt (- z y)))

series116.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt (- x y))
27.0ms
(cbrt (- x y))
30.0ms
(cbrt (- x y))
31.0ms
(* (cbrt (- z y)) (cbrt (- z y)))

simplify45.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
050961042

prune128.0ms

Filtered
77 candidates to 113 candidates (-46.8%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1130113
Fresh077
Picked011
Done011
Total1139122

Merged error: 0b

Counts
122 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z y))
0.2b
(* (- x y) (/ 1 (- z y)))
1.2b
(* (* (- x y) (/ 1 (- z y))) t)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×add-cube-cbrt associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
10×associate-*l/
8×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp associate-*l* flip--
5×associate-/r*
4×frac-times pow-prod-down associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×associate-*r/ un-div-inv *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 119
Calls
3 calls:
5.0ms
(/ 1 (- z y))
13.0ms
(* (- x y) (/ 1 (- z y)))
12.0ms
(* (* (- x y) (/ 1 (- z y))) t)

series39.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(/ 1 (- z y))
10.0ms
(* (- x y) (/ 1 (- z y)))
23.0ms
(* (* (- x y) (/ 1 (- z y))) t)

simplify48.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
058481083

prune111.0ms

Filtered
73 candidates to 128 candidates (-75.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1271128
Fresh246
Picked011
Done022
Total1298137

Merged error: 0b

Counts
137 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z y))
0.6b
(* (cbrt (- z y)) (cbrt (- z y)))
1.0b
(* t (/ (- x y) (cbrt (- z y))))
5.7b
(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* t (/ (- x y) (cbrt (- z y)))))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
89×add-exp-log
87×add-sqr-sqrt
77×*-un-lft-identity
59×cbrt-prod
55×associate-*r*
47×prod-exp
45×times-frac
35×add-cube-cbrt add-cbrt-cube
28×cbrt-div
26×associate-*l*
21×cbrt-unprod
20×div-exp distribute-lft-out--
18×pow1 difference-of-squares
14×flip3-- flip--
10×cbrt-undiv swap-sqr associate-/r/
9×frac-times
8×associate-*r/
7×pow1/3 unswap-sqr
6×rec-exp 1-exp pow-prod-down
5×associate-*l/
4×add-log-exp
3×*-commutative
2×pow-sqr pow-prod-up div-inv
1×pow2 pow-plus
Counts
4 → 196
Calls
4 calls:
3.0ms
(cbrt (- z y))
10.0ms
(* (cbrt (- z y)) (cbrt (- z y)))
16.0ms
(* t (/ (- x y) (cbrt (- z y))))
25.0ms
(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* t (/ (- x y) (cbrt (- z y)))))

series135.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(cbrt (- z y))
33.0ms
(* (cbrt (- z y)) (cbrt (- z y)))
44.0ms
(* t (/ (- x y) (cbrt (- z y))))
30.0ms
(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* t (/ (- x y) (cbrt (- z y)))))

simplify80.0ms

Algorithm
egg-herbie
Counts
208 → 208
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
050542277

prune156.0ms

Filtered
122 candidates to 208 candidates (-70.5%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New2080208
Fresh044
Picked011
Done033
Total2088216

Merged error: 0b

Counts
216 → 8

regimes432.0ms

Accuracy

0% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 2.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0219
1219

end0.0ms

sample472.0ms

Algorithm
intervals
Results
252.0ms8000×body80valid
17.0ms579×body80invalid

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