Details

Time bar (total: 2.3s)

sample27.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02114
12114

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 39.2b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* y y))
0.3b
(/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
36.1b
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×sqrt-prod
5×add-exp-log add-cbrt-cube add-log-exp
4×pow1
3×associate-/r* associate-/l*
2×rem-sqrt-square flip3-+ flip-+ div-inv associate-/l/
1×cbrt-undiv +-commutative frac-2neg sqrt-pow1 pow1/2 sqrt-div div-exp clear-num sum-log
Counts
3 → 65
Calls
3 calls:
3.0ms
(+ (* x x) (* y y))
8.0ms
(/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
5.0ms
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))

series44.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (* x x) (* y y))
12.0ms
(/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
27.0ms
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))

simplify31.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
050111233

prune127.0ms

Filtered
62 candidates to 74 candidates (-19.4%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New69574
Fresh000
Picked101
Done000
Total70575

Merged error: 18.0b

Counts
75 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* y y) (* z z))
0.3b
(* (+ (* x x) (+ (* y y) (* z z))) 0.3333333333333333)
36.1b
(sqrt (* (+ (* x x) (+ (* y y) (* z z))) 0.3333333333333333))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
8×pow1
7×add-sqr-sqrt
5×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
4×associate-*l/
3×flip3-+ associate-*r* associate-*l* flip-+
2×sqrt-pow1 sqrt-div pow-prod-down
1×+-commutative pow1/2 prod-exp sum-log sqrt-prod *-commutative cbrt-unprod unswap-sqr
Counts
3 → 44
Calls
3 calls:
3.0ms
(+ (* y y) (* z z))
7.0ms
(* (+ (* x x) (+ (* y y) (* z z))) 0.3333333333333333)
6.0ms
(sqrt (* (+ (* x x) (+ (* y y) (* z z))) 0.3333333333333333))

series46.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (* y y) (* z z))
12.0ms
(* (+ (* x x) (+ (* y y) (* z z))) 0.3333333333333333)
28.0ms
(sqrt (* (+ (* x x) (+ (* y y) (* z z))) 0.3333333333333333))

simplify45.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05404700

prune67.0ms

Filtered
36 candidates to 53 candidates (-47.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New53053
Fresh044
Picked011
Done000
Total53558

Merged error: 18.0b

Counts
58 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* y y) (* z z))
0.4b
(/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt 3.0))
36.3b
(sqrt (+ (* x x) (+ (* y y) (* z z))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
45×sqrt-prod
36×times-frac
33×add-sqr-sqrt
32×add-cube-cbrt *-un-lft-identity
6×associate-/r* associate-/l*
5×add-exp-log add-cbrt-cube add-log-exp
4×pow1 sqrt-div
3×flip3-+ flip-+
2×associate-/l/
1×cbrt-undiv +-commutative rem-sqrt-square sqrt-undiv frac-2neg sqrt-pow1 pow1/2 div-exp clear-num sum-log div-inv
Counts
3 → 89
Calls
3 calls:
3.0ms
(+ (* y y) (* z z))
9.0ms
(/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt 3.0))
5.0ms
(sqrt (+ (* x x) (+ (* y y) (* z z))))

series58.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (* y y) (* z z))
34.0ms
(/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt 3.0))
18.0ms
(sqrt (+ (* x x) (+ (* y y) (* z z))))

simplify45.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
053001945

prune112.0ms

Filtered
60 candidates to 98 candidates (-63.3%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New95398
Fresh033
Picked011
Done011
Total958103

Merged error: 17.8b

Counts
103 → 8

localize3.0ms

Local error

Found 1 expressions with local error:

0.4b
(/ z (sqrt 3.0))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
18×times-frac
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×sqrt-prod
6×associate-/r*
3×add-exp-log add-cbrt-cube associate-/l*
1×pow1 cbrt-undiv frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 39
Calls
1 calls:
4.0ms
(/ z (sqrt 3.0))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(/ z (sqrt 3.0))

simplify98.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (94.0ms)

IterNodesCost
04720322
14720322

prune46.0ms

Filtered
26 candidates to 42 candidates (-61.5%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New38442
Fresh055
Picked011
Done022
Total381250

Merged error: 17.8b

Counts
50 → 12

regimes668.0ms

Accuracy

58% (8.2b remaining)

Error of 26.5b against oracle of 18.4b and baseline of 37.8b

bsearch72.0ms

Steps
ItersRangePoint
8
8.690642169269742e+80
3.7706223149073353e+84
3.724679029772407e+84
10
6.054857666724806e-180
1.9846081506317826e-167
7.533467640903301e-175
8
1.101105901977731e-247
5.841405359004631e-244
1.9270970714388626e-244
8
-1.7137206042432786e+124
-8.850657391851626e+119
-1.6254123077702482e+124

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04261
14261

end0.0ms

sample684.0ms

Algorithm
intervals
Results
388.0ms8000×body80valid

Profiling

Loading profile data...