Details

Time bar (total: 2.7s)

analyze230.0ms

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
25%74.9%0.1%6
25%74.9%0.1%7
43.7%56.2%0.1%8
62.4%37.4%0.1%9
65.5%34.3%0.1%10
71.8%27.7%0.5%11
79.2%19.7%1.1%12
80.2%18.7%1.1%13
82.8%15%2.2%14

sample18.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
0.0ms13×body80invalid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
08211
18211

prune10.0ms

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: 7.5b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

3.7b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
5.2b
(* y (+ 1.0 (* z z)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
20×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
13×associate-/l*
6×cbrt-undiv div-exp
4×pow1 associate-*r/
3×associate-*r* associate-*l* prod-exp cbrt-unprod div-inv
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num associate-/r* *-commutative associate-/l/ unswap-sqr
Counts
2 → 70
Calls
2 calls:
10.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
6.0ms
(* y (+ 1.0 (* z z)))

series27.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
10.0ms
(* y (+ 1.0 (* z z)))

simplify46.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04985885
14985885

prune125.0ms

Filtered
56 candidates to 76 candidates (-35.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New70676
Fresh101
Picked011
Done000
Total71778

Merged error: 6.2b

Counts
78 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.7b
(/ 1 (* y (* (cbrt x) (cbrt x))))
1.7b
(* (+ 1.0 (* z z)) (cbrt x))
6.1b
(* (/ 1 (* y (* (cbrt x) (cbrt x)))) (/ 1.0 (* (+ 1.0 (* z z)) (cbrt x))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
153×add-exp-log
77×prod-exp
56×add-cbrt-cube
44×div-exp
29×cbrt-unprod
20×cbrt-undiv add-sqr-sqrt
15×associate-*r*
14×pow1 add-cube-cbrt *-un-lft-identity
12×rec-exp 1-exp
10×associate-*l*
9×times-frac
7×cbrt-prod
5×pow-prod-down associate-*l/
4×add-log-exp
3×pow-flip div-inv associate-/l* unswap-sqr
2×flip3-+ associate-/r/ *-commutative flip-+
1×frac-times frac-2neg pow1/3 associate-*r/ clear-num associate-/r* inv-pow
Counts
4 → 139
Calls
4 calls:
1.0ms
(cbrt x)
8.0ms
(/ 1 (* y (* (cbrt x) (cbrt x))))
6.0ms
(* (+ 1.0 (* z z)) (cbrt x))
17.0ms
(* (/ 1 (* y (* (cbrt x) (cbrt x)))) (/ 1.0 (* (+ 1.0 (* z z)) (cbrt x))))

series91.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt x)
22.0ms
(/ 1 (* y (* (cbrt x) (cbrt x))))
25.0ms
(* (+ 1.0 (* z z)) (cbrt x))
21.0ms
(* (/ 1 (* y (* (cbrt x) (cbrt x)))) (/ 1.0 (* (+ 1.0 (* z z)) (cbrt x))))

simplify91.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
051281498

prune139.0ms

Filtered
77 candidates to 151 candidates (-96.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1501151
Fresh055
Picked011
Done011
Total1508158

Merged error: 6.2b

Counts
158 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(pow (cbrt x) -2)
0.7b
(/ (sqrt 1.0) (+ 1.0 (* z z)))
1.1b
(* (* (/ (pow (cbrt x) -2) y) (/ (sqrt 1.0) (+ 1.0 (* z z)))) (/ (sqrt 1.0) (cbrt x)))
6.2b
(* (/ (pow (cbrt x) -2) y) (/ (sqrt 1.0) (+ 1.0 (* z z))))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
129×add-sqr-sqrt
124×times-frac
108×add-exp-log
80×add-cube-cbrt *-un-lft-identity
64×associate-*r*
54×add-cbrt-cube
44×sqrt-prod
42×prod-exp
40×div-exp
35×associate-*l*
33×cbrt-prod
30×unpow-prod-down
22×cbrt-unprod
18×cbrt-undiv
15×unswap-sqr
12×pow1
7×pow-to-exp pow-exp sqr-pow
6×frac-times associate-*l/ associate-/l*
4×associate-*r/ pow-prod-down associate-/r/ div-inv add-log-exp
3×pow-unpow associate-/r*
2×pow-pow flip3-+ *-commutative flip-+
1×frac-2neg pow1/3 clear-num
Counts
4 → 245
Calls
4 calls:
3.0ms
(pow (cbrt x) -2)
8.0ms
(/ (sqrt 1.0) (+ 1.0 (* z z)))
21.0ms
(* (* (/ (pow (cbrt x) -2) y) (/ (sqrt 1.0) (+ 1.0 (* z z)))) (/ (sqrt 1.0) (cbrt x)))
24.0ms
(* (/ (pow (cbrt x) -2) y) (/ (sqrt 1.0) (+ 1.0 (* z z))))

series119.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(pow (cbrt x) -2)
5.0ms
(/ (sqrt 1.0) (+ 1.0 (* z z)))
32.0ms
(* (* (/ (pow (cbrt x) -2) y) (/ (sqrt 1.0) (+ 1.0 (* z z)))) (/ (sqrt 1.0) (cbrt x)))
49.0ms
(* (/ (pow (cbrt x) -2) y) (/ (sqrt 1.0) (+ 1.0 (* z z))))

simplify107.0ms

Algorithm
egg-herbie
Counts
257 → 257
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
049454406
149454406

prune474.0ms

Filtered
162 candidates to 257 candidates (-58.6%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New2570257
Fresh055
Picked011
Done022
Total2578265

Merged error: 6.2b

Counts
265 → 8

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1.0 (* y x))
7.9b
(/ (/ 1.0 (* y x)) (+ 1.0 (* z z)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
10×associate-/l*
7×cbrt-undiv div-exp
6×div-inv
4×associate-/r*
2×pow1 frac-2neg prod-exp clear-num associate-/r/ cbrt-unprod add-log-exp
1×flip3-+ flip-+ associate-/l/
Counts
2 → 71
Calls
2 calls:
4.0ms
(/ 1.0 (* y x))
8.0ms
(/ (/ 1.0 (* y x)) (+ 1.0 (* z z)))

series20.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ 1.0 (* y x))
17.0ms
(/ (/ 1.0 (* y x)) (+ 1.0 (* z z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
053141021

prune99.0ms

Filtered
59 candidates to 77 candidates (-30.5%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New76177
Fresh224
Picked011
Done123
Total79685

Merged error: 6.2b

Counts
85 → 6

regimes436.0ms

Accuracy

0% (1.6b remaining)

Error of 6.5b against oracle of 4.9b and baseline of 6.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01111
11111

end0.0ms

sample475.0ms

Algorithm
intervals
Results
289.0ms8000×body80valid
16.0ms475×body80invalid

Profiling

Loading profile data...