Details

Time bar (total: 3.1s)

sample18.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0136
1206
2226
3226

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 38.9b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
5×add-sqr-sqrt
4×pow1 add-cube-cbrt *-un-lft-identity sum-log
3×add-exp-log flip3-+ sqrt-prod add-cbrt-cube flip-+
2×+-commutative sqrt-div
1×rem-sqrt-square associate-+l+ sqrt-pow1 pow1/2
Counts
3 → 39
Calls
3 calls:
9.0ms
(+ (+ (* x x) (* y y)) (* z z))
6.0ms
(+ (* x x) (* y y))
5.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series198.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(+ (+ (* x x) (* y y)) (* z z))
26.0ms
(+ (* x x) (* y y))
131.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify84.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 3 (79.0ms)

IterNodesCost
0209340
1959320
23316316
35001315

prune100.0ms

Filtered
48 candidates to 37 candidates (77.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New43548
Fresh000
Picked011
Done000
Total43649

Merged error: 19.7b

Counts
49 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
0.2b
(* (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
37.3b
(cbrt (+ (+ (* x x) (* y y)) (* z z)))
37.3b
(cbrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
14×cbrt-prod sqrt-prod
12×add-cube-cbrt *-un-lft-identity
9×associate-*r*
8×cbrt-div
7×pow1
6×add-exp-log add-cbrt-cube
4×flip3-+ sqrt-div flip-+ add-log-exp
3×pow1/3 associate-*l* unswap-sqr
2×rem-sqrt-square sqrt-pow1 associate-*r/
1×pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 74
Calls
4 calls:
5.0ms
(sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
9.0ms
(* (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
5.0ms
(cbrt (+ (+ (* x x) (* y y)) (* z z)))
8.0ms
(cbrt (+ (+ (* x x) (* y y)) (* z z)))

series642.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
326.0ms
(* (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
105.0ms
(cbrt (+ (+ (* x x) (* y y)) (* z z)))
105.0ms
(cbrt (+ (+ (* x x) (* y y)) (* z z)))

simplify48.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03201178
113041101
250011084

prune256.0ms

Filtered
86 candidates to 75 candidates (87.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New86086
Fresh044
Picked011
Done011
Total86692

Merged error: 19.7b

Counts
92 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3)
0.0b
(+ (* x x) (* y y))
36.1b
(sqrt (+ (+ (* x x) (* y y)) (* z z)))
45.1b
(cbrt (pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
16×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity sqrt-prod
12×unpow-prod-down cube-prod
7×pow1
6×sqrt-div add-log-exp
5×add-exp-log add-cbrt-cube
4×cube-div flip3-+ flip-+
3×pow-unpow pow-pow
2×cube-mult cbrt-div sqrt-pow1 pow1/2 unpow3 sqr-pow
1×+-commutative pow-to-exp rem-sqrt-square pow1/3 pow-exp sum-log sqrt-pow2 rem-cbrt-cube rem-cube-cbrt
Counts
4 → 89
Calls
4 calls:
6.0ms
(pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3)
4.0ms
(+ (* x x) (* y y))
5.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))
7.0ms
(cbrt (pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3))

series436.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3)
26.0ms
(+ (* x x) (* y y))
114.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))
118.0ms
(cbrt (pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3))

simplify43.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0338867
11444834
25001822

prune169.0ms

Filtered
101 candidates to 57 candidates (56.4%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1001101
Fresh033
Picked011
Done022
Total1007107

Merged error: 19.7b

Counts
107 → 7

localize2.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune0.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New000
Fresh033
Picked011
Done033
Total077

Merged error: 19.7b

Counts
7 → 7

regimes378.0ms

Accuracy

61.7% (7.3b remaining)

Error of 25.5b against oracle of 18.2b and baseline of 37.3b

bsearch109.0ms

Steps
ItersRangePoint
8
3.584984032206546e+131
1.933236461977481e+136
4.428488563386986e+133
10
-5.168749237299646e-271
-4.86612890522375e-281
-4.783729948350529e-271
7
-4.845435935635627e-218
-1.1000449631184665e-219
-1.8518021247462165e-219
4
-2.8077428121399217e+107
-1.6342802683843278e+107
-2.7710721076475597e+107

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02713
12713

end0.0ms

sample459.0ms

Algorithm
intervals
Results
295.0ms8000×body80valid

Profiling

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