Details

Time bar (total: 4.3s)

sample53.0ms

Algorithm
intervals
Results
41.0ms465×body80valid

simplify44.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
0502233

prune12.0ms

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

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (pow (fabs x) 5) 5.0)
0.1b
(* (/ 1.0 (sqrt PI)) (+ (* 2.0 (+ (fabs x) (/ (pow (fabs x) 3) 3.0))) (* 1.0 (+ (/ (pow (fabs x) 5) 5.0) (/ (pow (fabs x) 7) 21.0)))))
0.1b
(/ (pow (fabs x) 3) 3.0)
1.0b
(sqrt PI)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
77×times-frac
69×add-sqr-sqrt
60×add-cube-cbrt *-un-lft-identity
32×associate-*r/
24×unpow-prod-down
22×associate-*l*
19×add-exp-log associate-/l*
16×frac-add
13×sqrt-prod add-cbrt-cube
12×flip3-+ cube-prod flip-+
8×frac-times sqr-pow
7×pow1 div-exp
6×associate-/r*
4×cube-mult unpow3 add-log-exp
3×cbrt-undiv associate-*r* div-inv unswap-sqr
2×pow-to-exp frac-2neg pow-exp prod-exp clear-num cbrt-unprod
1×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 pow-prod-down associate-*l/ *-commutative
Counts
4 → 183
Calls
4 calls:
5.0ms
(/ (pow (fabs x) 5) 5.0)
23.0ms
(* (/ 1.0 (sqrt PI)) (+ (* 2.0 (+ (fabs x) (/ (pow (fabs x) 3) 3.0))) (* 1.0 (+ (/ (pow (fabs x) 5) 5.0) (/ (pow (fabs x) 7) 21.0)))))
6.0ms
(/ (pow (fabs x) 3) 3.0)
1.0ms
(sqrt PI)

series76.0ms

Counts
4 → 10
Calls
4 calls:
11.0ms
(/ (pow (fabs x) 5) 5.0)
58.0ms
(* (/ 1.0 (sqrt PI)) (+ (* 2.0 (+ (fabs x) (/ (pow (fabs x) 3) 3.0))) (* 1.0 (+ (/ (pow (fabs x) 5) 5.0) (/ (pow (fabs x) 7) 21.0)))))
7.0ms
(/ (pow (fabs x) 3) 3.0)
0.0ms
(sqrt PI)

simplify73.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049754274
149754274

prune531.0ms

Filtered
133 candidates to 193 candidates (-45.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1912193
Fresh011
Picked011
Done000
Total1914195

Merged error: 0.0b

Counts
195 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (pow (fabs x) 7) 0.047619047619047616)
0.1b
(* (pow (fabs x) 5) 0.2)
0.1b
(* (pow (fabs x) 3) 0.6666666666666666)
0.1b
(* (sqrt (/ 1 PI)) (+ (* (pow (fabs x) 3) 0.6666666666666666) (+ (* (pow (fabs x) 5) 0.2) (+ (* (fabs x) 2.0) (* (pow (fabs x) 7) 0.047619047619047616)))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
42×associate-*l*
24×*-un-lft-identity
23×add-cube-cbrt
21×add-exp-log
16×sqrt-prod
14×unswap-sqr
12×unpow-prod-down associate-*r* add-cbrt-cube
11×times-frac
10×prod-exp
6×pow1 sqr-pow
4×cube-prod *-commutative cbrt-unprod add-log-exp
3×pow-to-exp sqrt-div pow-exp
2×frac-times flip3-+ associate-*r/ flip-+
1×distribute-rgt-in cube-mult distribute-lft-in unpow3 pow-prod-down associate-*l/ div-inv
Counts
4 → 122
Calls
4 calls:
5.0ms
(* (pow (fabs x) 7) 0.047619047619047616)
5.0ms
(* (pow (fabs x) 5) 0.2)
5.0ms
(* (pow (fabs x) 3) 0.6666666666666666)
16.0ms
(* (sqrt (/ 1 PI)) (+ (* (pow (fabs x) 3) 0.6666666666666666) (+ (* (pow (fabs x) 5) 0.2) (+ (* (fabs x) 2.0) (* (pow (fabs x) 7) 0.047619047619047616)))))

series75.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* (pow (fabs x) 7) 0.047619047619047616)
9.0ms
(* (pow (fabs x) 5) 0.2)
7.0ms
(* (pow (fabs x) 3) 0.6666666666666666)
47.0ms
(* (sqrt (/ 1 PI)) (+ (* (pow (fabs x) 3) 0.6666666666666666) (+ (* (pow (fabs x) 5) 0.2) (+ (* (fabs x) 2.0) (* (pow (fabs x) 7) 0.047619047619047616)))))

simplify62.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049582304
149582304

prune343.0ms

Filtered
90 candidates to 134 candidates (-48.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1331134
Fresh022
Picked101
Done011
Total1344138

Merged error: 0b

Counts
138 → 4

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.1b
(* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
0.1b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b
(sqrt PI)

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
107×add-exp-log add-cbrt-cube
70×prod-exp cbrt-unprod
51×pow1
48×associate-*l*
42×add-sqr-sqrt
38×times-frac
35×pow-prod-down
33×add-cube-cbrt *-un-lft-identity
15×associate-*l/
13×sqrt-prod
12×frac-add
11×cbrt-undiv div-exp
6×frac-times flip3-+ associate-*r/ flip-+
5×associate-*r*
4×add-log-exp
3×*-commutative div-inv unswap-sqr
1×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2
Counts
4 → 165
Calls
4 calls:
60.0ms
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
26.0ms
(* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
12.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series78.0ms

Counts
4 → 10
Calls
4 calls:
16.0ms
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
55.0ms
(* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
7.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify70.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049824033
149824033

prune397.0ms

Filtered
108 candidates to 175 candidates (-62.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1750175
Fresh022
Picked011
Done011
Total1754179

Merged error: 0b

Counts
179 → 4

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (pow (fabs x) 5) 0.2)
0.1b
(* (* (pow (fabs x) 7) (sqrt 0.047619047619047616)) (sqrt 0.047619047619047616))
0.1b
(* (pow (fabs x) 3) 0.6666666666666666)
0.1b
(* (sqrt (/ 1 PI)) (+ (* (pow (fabs x) 3) 0.6666666666666666) (+ (* (pow (fabs x) 5) 0.2) (+ (* (fabs x) 2.0) (* (* (pow (fabs x) 7) (sqrt 0.047619047619047616)) (sqrt 0.047619047619047616))))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
36×associate-*l*
26×add-exp-log
23×*-un-lft-identity
22×add-cube-cbrt
19×sqrt-prod
15×associate-*r* add-cbrt-cube
14×prod-exp
11×times-frac unswap-sqr
8×pow1 unpow-prod-down
6×cbrt-unprod
4×cube-prod *-commutative add-log-exp sqr-pow
3×pow-to-exp sqrt-div pow-exp
2×frac-times flip3-+ associate-*r/ pow-prod-down flip-+
1×distribute-rgt-in cube-mult distribute-lft-in unpow3 associate-*l/ div-inv
Counts
4 → 119
Calls
4 calls:
7.0ms
(* (pow (fabs x) 5) 0.2)
8.0ms
(* (* (pow (fabs x) 7) (sqrt 0.047619047619047616)) (sqrt 0.047619047619047616))
6.0ms
(* (pow (fabs x) 3) 0.6666666666666666)
17.0ms
(* (sqrt (/ 1 PI)) (+ (* (pow (fabs x) 3) 0.6666666666666666) (+ (* (pow (fabs x) 5) 0.2) (+ (* (fabs x) 2.0) (* (* (pow (fabs x) 7) (sqrt 0.047619047619047616)) (sqrt 0.047619047619047616))))))

series87.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* (pow (fabs x) 5) 0.2)
18.0ms
(* (* (pow (fabs x) 7) (sqrt 0.047619047619047616)) (sqrt 0.047619047619047616))
7.0ms
(* (pow (fabs x) 3) 0.6666666666666666)
52.0ms
(* (sqrt (/ 1 PI)) (+ (* (pow (fabs x) 3) 0.6666666666666666) (+ (* (pow (fabs x) 5) 0.2) (+ (* (fabs x) 2.0) (* (* (pow (fabs x) 7) (sqrt 0.047619047619047616)) (sqrt 0.047619047619047616))))))

simplify68.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
050352271

prune343.0ms

Filtered
86 candidates to 131 candidates (-52.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1310131
Fresh011
Picked011
Done022
Total1314135

Merged error: 0b

Counts
135 → 4

regimes236.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03233
13233

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.2s13987×body80valid

Profiling

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