Details

Time bar (total: 2.9s)

analyze217.0ms

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
8.0ms256×body80valid
1.0ms16×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
08211
18211

prune9.0ms

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: 7.0b

Counts
2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

3.8b
(* y (+ 1.0 (* z z)))
4.9b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

rewrite14.0ms

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:
5.0ms
(* y (+ 1.0 (* z z)))
7.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

series26.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(* y (+ 1.0 (* z z)))
17.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

simplify34.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
05050885

prune115.0ms

Filtered
55 candidates to 76 candidates (-38.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New69776
Fresh011
Picked011
Done000
Total69978

Merged error: 5.2b

Counts
78 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1.0 (* x y))
6.2b
(/ (/ 1.0 (* x y)) (+ 1.0 (* z z)))

rewrite15.0ms

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 (* x y))
9.0ms
(/ (/ 1.0 (* x y)) (+ 1.0 (* z z)))

series20.0ms

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

simplify53.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049651021
149651021

prune113.0ms

Filtered
58 candidates to 77 candidates (-32.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New75277
Fresh347
Picked011
Done011
Total78886

Merged error: 5.2b

Counts
86 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (cbrt 1.0) x) (/ (cbrt 1.0) (sqrt (+ 1.0 (* z z)))))
1.5b
(* (* (/ (cbrt 1.0) x) (/ (cbrt 1.0) (sqrt (+ 1.0 (* z z))))) (/ (cbrt 1.0) (* y (sqrt (+ 1.0 (* z z))))))
16.3b
(sqrt (+ 1.0 (* z z)))
16.3b
(sqrt (+ 1.0 (* z z)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
101×add-sqr-sqrt
85×add-exp-log
82×times-frac
59×add-cbrt-cube
54×associate-*r*
47×add-cube-cbrt *-un-lft-identity
41×cbrt-prod
36×prod-exp cbrt-unprod
30×sqrt-prod
26×cbrt-undiv div-exp
23×associate-*l*
15×unswap-sqr
13×pow1
8×sqrt-div
6×frac-times associate-*r/ associate-*l/
4×flip3-+ pow-prod-down associate-/r/ flip-+ add-log-exp
3×div-inv
2×rem-sqrt-square sqrt-pow1 pow1/2 *-commutative
Counts
4 → 189
Calls
4 calls:
25.0ms
(* (/ (cbrt 1.0) x) (/ (cbrt 1.0) (sqrt (+ 1.0 (* z z)))))
18.0ms
(* (* (/ (cbrt 1.0) x) (/ (cbrt 1.0) (sqrt (+ 1.0 (* z z))))) (/ (cbrt 1.0) (* y (sqrt (+ 1.0 (* z z))))))
2.0ms
(sqrt (+ 1.0 (* z z)))
2.0ms
(sqrt (+ 1.0 (* z z)))

series60.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (/ (cbrt 1.0) x) (/ (cbrt 1.0) (sqrt (+ 1.0 (* z z)))))
25.0ms
(* (* (/ (cbrt 1.0) x) (/ (cbrt 1.0) (sqrt (+ 1.0 (* z z))))) (/ (cbrt 1.0) (* y (sqrt (+ 1.0 (* z z))))))
6.0ms
(sqrt (+ 1.0 (* z z)))
6.0ms
(sqrt (+ 1.0 (* z z)))

simplify85.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
049652959
149652959

prune433.0ms

Filtered
134 candidates to 201 candidates (-50.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1992201
Fresh235
Picked011
Done112
Total2027209

Merged error: 5.2b

Counts
209 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1.0 (* (sqrt (+ 1.0 (* z z))) y))
1.4b
(/ (/ 1.0 (* (sqrt (+ 1.0 (* z z))) y)) (* x (sqrt (+ 1.0 (* z z)))))
16.3b
(sqrt (+ 1.0 (* z z)))
16.3b
(sqrt (+ 1.0 (* z z)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log add-cbrt-cube
18×times-frac
14×add-sqr-sqrt
12×cbrt-undiv add-cube-cbrt *-un-lft-identity sqrt-div div-exp associate-/l*
8×associate-/r/
6×pow1 flip3-+ associate-*l/ prod-exp sqrt-prod cbrt-unprod flip-+
4×div-inv add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 associate-*r/ clear-num associate-/r*
1×associate-/l/
Counts
4 → 97
Calls
4 calls:
6.0ms
(/ 1.0 (* (sqrt (+ 1.0 (* z z))) y))
11.0ms
(/ (/ 1.0 (* (sqrt (+ 1.0 (* z z))) y)) (* x (sqrt (+ 1.0 (* z z)))))
2.0ms
(sqrt (+ 1.0 (* z z)))
2.0ms
(sqrt (+ 1.0 (* z z)))

series31.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(/ 1.0 (* (sqrt (+ 1.0 (* z z))) y))
11.0ms
(/ (/ 1.0 (* (sqrt (+ 1.0 (* z z))) y)) (* x (sqrt (+ 1.0 (* z z)))))
3.0ms
(sqrt (+ 1.0 (* z z)))
4.0ms
(sqrt (+ 1.0 (* z z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049831439
149831439

prune159.0ms

Filtered
83 candidates to 109 candidates (-31.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1081109
Fresh044
Picked011
Done022
Total1088116

Merged error: 1.3b

Counts
116 → 8

regimes519.0ms

Accuracy

78.5% (0.9b remaining)

Error of 3.1b against oracle of 2.2b and baseline of 6.2b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03859
13859

end0.0ms

analyze340.0ms

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

sample461.0ms

Algorithm
intervals
Results
282.0ms8000×body80valid
16.0ms488×body80invalid

Profiling

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