Details

Time bar (total: 5.2s)

analyze1.2s

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
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
9.4%90.4%0.2%11
9.4%90.4%0.2%12
10.1%89.6%0.2%13
20.8%78.9%0.2%14

sample36.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
4.0ms96×body80invalid

simplify287.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (285.0ms)

IterNodesCost
0488813
1488813

prune14.0ms

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: 8.6b

Counts
2 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* z 9.0) t)
0.3b
(- (* x y) (* (* z 9.0) t))
8.1b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
8×pow1
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×add-log-exp
4×prod-exp cbrt-unprod
3×times-frac associate-*r* pow-prod-down associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg diff-log div-sub associate-*l* clear-num associate-/r* *-commutative div-inv
Counts
3 → 53
Calls
3 calls:
4.0ms
(* (* z 9.0) t)
4.0ms
(- (* x y) (* (* z 9.0) t))
7.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series37.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(* (* z 9.0) t)
15.0ms
(- (* x y) (* (* z 9.0) t))
19.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify34.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
05095704

prune118.0ms

Filtered
43 candidates to 62 candidates (-44.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New54862
Fresh101
Picked011
Done000
Total55964

Merged error: 0.0b

Counts
64 → 9

localize12.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (/ z a) (/ 9.0 2.0))
5.3b
(* t (* (/ z a) (/ 9.0 2.0)))
7.5b
(* y (/ x (* a 2.0)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
42×add-exp-log add-cbrt-cube
35×add-sqr-sqrt
25×times-frac
21×add-cube-cbrt *-un-lft-identity associate-*r*
19×associate-*l*
17×prod-exp cbrt-unprod
12×pow1
10×cbrt-undiv div-exp
6×associate-*r/
5×pow-prod-down unswap-sqr
3×*-commutative div-inv add-log-exp
2×frac-times associate-*l/
Counts
3 → 104
Calls
3 calls:
9.0ms
(* (/ z a) (/ 9.0 2.0))
8.0ms
(* t (* (/ z a) (/ 9.0 2.0)))
7.0ms
(* y (/ x (* a 2.0)))

series15.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(* (/ z a) (/ 9.0 2.0))
6.0ms
(* t (* (/ z a) (/ 9.0 2.0)))
6.0ms
(* y (/ x (* a 2.0)))

simplify59.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
04989978
14989978

prune174.0ms

Filtered
72 candidates to 113 candidates (-56.9%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1085113
Fresh167
Picked101
Done011
Total11012122

Merged error: 0b

Counts
122 → 12

localize12.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (/ z a) (/ 9.0 2.0))
5.3b
(* t (* (/ z a) (/ 9.0 2.0)))
5.4b
(* (/ y a) (/ x 2.0))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
45×add-exp-log add-cbrt-cube
44×times-frac
32×add-cube-cbrt *-un-lft-identity
29×associate-*l*
27×associate-*r*
17×prod-exp cbrt-unprod
12×pow1 cbrt-undiv div-exp
8×unswap-sqr
6×associate-*r/
5×pow-prod-down
4×div-inv
3×frac-times associate-*l/ *-commutative add-log-exp
Counts
3 → 127
Calls
3 calls:
9.0ms
(* (/ z a) (/ 9.0 2.0))
8.0ms
(* t (* (/ z a) (/ 9.0 2.0)))
10.0ms
(* (/ y a) (/ x 2.0))

series15.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(* (/ z a) (/ 9.0 2.0))
6.0ms
(* t (* (/ z a) (/ 9.0 2.0)))
6.0ms
(* (/ y a) (/ x 2.0))

simplify70.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
049851215
149851215

prune192.0ms

Filtered
92 candidates to 136 candidates (-47.8%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1351136
Fresh1910
Picked011
Done011
Total13612148

Merged error: 0b

Counts
148 → 12

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
1.6b
(* (* y (* (/ (cbrt x) a) (cbrt x))) (/ (cbrt x) 2.0))
5.0b
(* y (* (/ (cbrt x) a) (cbrt x)))
5.3b
(* t (* (/ z a) (/ 9.0 2.0)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
63×add-exp-log
50×add-cbrt-cube
32×prod-exp cbrt-unprod
24×associate-*r*
23×pow1
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×times-frac
12×cbrt-prod pow-prod-down
11×cbrt-undiv div-exp
8×associate-*r/
7×associate-*l*
5×associate-*l/
4×add-log-exp
3×*-commutative
2×frac-times
1×pow1/3 div-inv
Counts
4 → 112
Calls
4 calls:
1.0ms
(cbrt x)
13.0ms
(* (* y (* (/ (cbrt x) a) (cbrt x))) (/ (cbrt x) 2.0))
7.0ms
(* y (* (/ (cbrt x) a) (cbrt x)))
8.0ms
(* t (* (/ z a) (/ 9.0 2.0)))

series67.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
9.0ms
(* (* y (* (/ (cbrt x) a) (cbrt x))) (/ (cbrt x) 2.0))
31.0ms
(* y (* (/ (cbrt x) a) (cbrt x)))
6.0ms
(* t (* (/ z a) (/ 9.0 2.0)))

simplify70.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
049491074
149491074

prune117.0ms

Filtered
72 candidates to 124 candidates (-72.2%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New1240124
Fresh099
Picked011
Done022
Total12412136

Merged error: 0b

Counts
136 → 12

regimes1.6s

Accuracy

80.3% (1.5b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 7.9b

bsearch1.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
017373
117373

end0.0ms

sample888.0ms

Algorithm
intervals
Results
374.0ms8000×body80valid
140.0ms3157×body80invalid

Profiling

Loading profile data...