Details

Time bar (total: 11.5s)

sample54.0ms

Algorithm
intervals
Results
42.0ms458×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

localize25.0ms

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)

rewrite42.0ms

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)

series74.0ms

Counts
4 → 10
Calls
4 calls:
9.0ms
(/ (pow (fabs x) 5) 5.0)
57.0ms
(* (/ 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)

simplify78.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049794274
149794274

prune562.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1903193
Fresh101
Picked011
Done000
Total1914195

Merged error: 0b

Counts
195 → 4

localize21.0ms

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)))))

rewrite35.0ms

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)
15.0ms
(* (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:
11.0ms
(* (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)))))

simplify66.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
050022304

prune336.0ms

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

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1331134
Fresh112
Picked101
Done011
Total1353138

Merged error: 0b

Counts
138 → 3

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (pow (fabs x) 3) 3.0)
0.2b
(* (/ 1.0 (sqrt PI)) (sqrt (+ (* 2.0 (+ (fabs x) (/ (pow (fabs x) 3) 3.0))) (* 1.0 (+ (/ (pow (fabs x) 5) 5.0) (/ (pow (fabs x) 7) 21.0))))))
0.3b
(* (* (/ 1.0 (sqrt PI)) (sqrt (+ (* 2.0 (+ (fabs x) (/ (pow (fabs x) 3) 3.0))) (* 1.0 (+ (/ (pow (fabs x) 5) 5.0) (/ (pow (fabs x) 7) 21.0)))))) (sqrt (+ (* 2.0 (+ (fabs x) (/ (pow (fabs x) 3) 3.0))) (* 1.0 (+ (/ (pow (fabs x) 5) 5.0) (/ (pow (fabs x) 7) 21.0))))))
1.0b
(sqrt PI)

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
544×associate-*r/
304×sqrt-div frac-add
228×flip3-+ flip-+
216×frac-times
64×add-sqr-sqrt
58×times-frac
47×add-cube-cbrt *-un-lft-identity
27×associate-*l/
23×add-exp-log associate-*l* sqrt-prod
20×add-cbrt-cube
12×pow1 unpow-prod-down cube-prod associate-*r* associate-/l*
7×prod-exp cbrt-unprod
6×unswap-sqr
5×div-exp
4×cube-mult unpow3 pow-prod-down add-log-exp sqr-pow
3×cbrt-undiv associate-/r*
2×*-commutative div-inv
1×pow-to-exp rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 pow-exp clear-num
Counts
4 → 326
Calls
4 calls:
6.0ms
(/ (pow (fabs x) 3) 3.0)
24.0ms
(* (/ 1.0 (sqrt PI)) (sqrt (+ (* 2.0 (+ (fabs x) (/ (pow (fabs x) 3) 3.0))) (* 1.0 (+ (/ (pow (fabs x) 5) 5.0) (/ (pow (fabs x) 7) 21.0))))))
45.0ms
(* (* (/ 1.0 (sqrt PI)) (sqrt (+ (* 2.0 (+ (fabs x) (/ (pow (fabs x) 3) 3.0))) (* 1.0 (+ (/ (pow (fabs x) 5) 5.0) (/ (pow (fabs x) 7) 21.0)))))) (sqrt (+ (* 2.0 (+ (fabs x) (/ (pow (fabs x) 3) 3.0))) (* 1.0 (+ (/ (pow (fabs x) 5) 5.0) (/ (pow (fabs x) 7) 21.0))))))
1.0ms
(sqrt PI)

series139.0ms

Counts
4 → 10
Calls
4 calls:
7.0ms
(/ (pow (fabs x) 3) 3.0)
71.0ms
(* (/ 1.0 (sqrt PI)) (sqrt (+ (* 2.0 (+ (fabs x) (/ (pow (fabs x) 3) 3.0))) (* 1.0 (+ (/ (pow (fabs x) 5) 5.0) (/ (pow (fabs x) 7) 21.0))))))
60.0ms
(* (* (/ 1.0 (sqrt PI)) (sqrt (+ (* 2.0 (+ (fabs x) (/ (pow (fabs x) 3) 3.0))) (* 1.0 (+ (/ (pow (fabs x) 5) 5.0) (/ (pow (fabs x) 7) 21.0)))))) (sqrt (+ (* 2.0 (+ (fabs x) (/ (pow (fabs x) 3) 3.0))) (* 1.0 (+ (/ (pow (fabs x) 5) 5.0) (/ (pow (fabs x) 7) 21.0))))))
0.0ms
(sqrt PI)

simplify228.0ms

Algorithm
egg-herbie
Counts
336 → 336
Iterations

Useful iterations: 0 (93.0ms)

IterNodesCost
0530732569

prune7.5s

Filtered
271 candidates to 336 candidates (-24.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New3360336
Fresh011
Picked011
Done011
Total3363339

Merged error: 0b

Counts
339 → 3

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (pow (fabs x) 5) 0.2)
0.1b
(* (pow (fabs x) 3) 0.6666666666666666)
0.3b
(/ (+ (* (pow (fabs x) 3) 0.6666666666666666) (+ (* (pow (fabs x) 5) 0.2) (+ (* (fabs x) 2.0) (* (pow (fabs x) 7) 0.047619047619047616)))) (sqrt PI))
1.0b
(sqrt PI)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
27×add-cube-cbrt *-un-lft-identity
19×associate-*l*
18×times-frac
16×add-exp-log
15×sqrt-prod
10×add-cbrt-cube
8×unpow-prod-down
7×unswap-sqr
6×associate-*r* prod-exp associate-/r*
5×pow1
4×cube-prod add-log-exp sqr-pow
3×associate-/l*
2×pow-to-exp pow-exp *-commutative cbrt-unprod associate-/l/
1×cbrt-undiv cube-mult rem-sqrt-square frac-2neg sqrt-pow1 flip3-+ pow1/2 unpow3 div-exp clear-num flip-+ div-inv
Counts
4 → 110
Calls
4 calls:
5.0ms
(* (pow (fabs x) 5) 0.2)
9.0ms
(* (pow (fabs x) 3) 0.6666666666666666)
13.0ms
(/ (+ (* (pow (fabs x) 3) 0.6666666666666666) (+ (* (pow (fabs x) 5) 0.2) (+ (* (fabs x) 2.0) (* (pow (fabs x) 7) 0.047619047619047616)))) (sqrt PI))
2.0ms
(sqrt PI)

series61.0ms

Counts
4 → 10
Calls
4 calls:
10.0ms
(* (pow (fabs x) 5) 0.2)
7.0ms
(* (pow (fabs x) 3) 0.6666666666666666)
44.0ms
(/ (+ (* (pow (fabs x) 3) 0.6666666666666666) (+ (* (pow (fabs x) 5) 0.2) (+ (* (fabs x) 2.0) (* (pow (fabs x) 7) 0.047619047619047616)))) (sqrt PI))
0.0ms
(sqrt PI)

simplify54.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
057842399

prune265.0ms

Filtered
80 candidates to 120 candidates (-50.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1200120
Fresh000
Picked011
Done022
Total1203123

Merged error: 0b

Counts
123 → 3

regimes72.0ms

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
1.3s13948×body80valid

Profiling

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