Details

Time bar (total: 2.1s)

analyze112.0ms

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
12.5%87.4%0.1%5
31.2%68.7%0.1%6
46.8%53.1%0.1%7
60.9%39%0.1%8
67.9%31.2%0.9%9
74.5%22.2%3.2%10
77.9%17.2%5%11
81.1%11.8%7.1%12
82.7%9%8.3%13
84.3%6.1%9.7%14

sample14.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
0.0ms10×body80invalid

simplify90.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (88.0ms)

IterNodesCost
0510811

prune8.0ms

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

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) 1.0)
0.1b
(/ (+ (/ x y) 1.0) (+ x 1.0))
0.1b
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
61×*-un-lft-identity
33×times-frac
28×add-sqr-sqrt
23×add-cube-cbrt
22×associate-*r*
19×distribute-lft-out
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×flip3-+ associate-/r* associate-/r/ flip-+ associate-/l*
3×associate-*l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg associate-*r/ pow-prod-down clear-num sum-log *-commutative
Counts
3 → 93
Calls
3 calls:
6.0ms
(+ (/ x y) 1.0)
10.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
18.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

series14.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(+ (/ x y) 1.0)
5.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
6.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify59.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
050611226

prune132.0ms

Filtered
65 candidates to 102 candidates (-56.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New957102
Fresh101
Picked011
Done000
Total968104

Merged error: 0.0b

Counts
104 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0)))) (cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0)))))
0.6b
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
0.6b
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
0.6b
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity associate-*r/
7×cbrt-prod cbrt-div
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 64
Calls
4 calls:
5.0ms
(* (cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0)))) (cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0)))))
11.0ms
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
11.0ms
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
11.0ms
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))

series157.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0)))) (cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0)))))
37.0ms
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
34.0ms
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
38.0ms
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))

simplify72.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
049051102
149051102

prune172.0ms

Filtered
61 candidates to 76 candidates (-24.6%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New75176
Fresh066
Picked011
Done011
Total75984

Merged error: 0.0b

Counts
84 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite10.0ms

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:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series91.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt x) (cbrt x))
23.0ms
(cbrt x)
21.0ms
(cbrt x)
22.0ms
(cbrt x)

simplify45.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05165356

prune96.0ms

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

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New84185
Fresh066
Picked011
Done022
Total841094

Merged error: 0.0b

Counts
94 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
0.6b
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
0.6b
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
0.6b
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity pow1/3 associate-*r/ add-cbrt-cube add-log-exp
Counts
4 → 40
Calls
4 calls:
13.0ms
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
11.0ms
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
11.0ms
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
11.0ms
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))

series169.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
60.0ms
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
33.0ms
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
33.0ms
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))

simplify55.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
05113732

prune190.0ms

Filtered
44 candidates to 52 candidates (-18.2%)
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New52052
Fresh066
Picked011
Done033
Total521062

Merged error: 0.0b

Counts
62 → 10

regimes117.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01111
11111

end0.0ms

sample371.0ms

Algorithm
intervals
Results
243.0ms8000×body80valid
8.0ms280×body80invalid

Profiling

Loading profile data...