Details

Time bar (total: 6.2s)

sample61.0ms

Algorithm
intervals
Results
45.0ms436×body80valid

simplify110.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06942
123142
290042
3375342
4500142

prune4.0ms

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: 0.5b

Counts
2 → 1

localize25.0ms

Local error

Found 4 expressions with local error:

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)))))
0.2b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.3b
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
1.0b
(sqrt PI)

rewrite104.0ms

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:
23.0ms
(* (/ 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)))))
11.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
59.0ms
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series468.0ms

Counts
4 → 10
Calls
4 calls:
341.0ms
(* (/ 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)))))
46.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
81.0ms
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify62.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
013384946
150014032

prune680.0ms

Filtered
175 candidates to 109 candidates (62.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1678175
Fresh000
Picked101
Done000
Total1688176

Merged error: 0.0b

Counts
176 → 8

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1.0 21.0) (pow (fabs x) 6))
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) (pow (fabs x) 6)) (fabs x))))
0.2b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b
(sqrt PI)

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt
48×associate-*l*
43×add-exp-log
41×times-frac
35×add-cube-cbrt *-un-lft-identity add-cbrt-cube
23×associate-*l/
20×prod-exp
16×pow1 cbrt-unprod
13×sqrt-prod
12×frac-add
11×associate-*r*
9×unswap-sqr
7×div-exp pow-prod-down
6×frac-times flip3-+ associate-*r/ flip-+
5×cbrt-undiv unpow-prod-down
4×add-log-exp
3×*-commutative div-inv sqr-pow
2×pow-to-exp pow-exp
1×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2
Counts
4 → 150
Calls
4 calls:
8.0ms
(* (/ 1.0 21.0) (pow (fabs x) 6))
17.0ms
(* (/ 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) (pow (fabs x) 6)) (fabs x))))
11.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series447.0ms

Counts
4 → 10
Calls
4 calls:
59.0ms
(* (/ 1.0 21.0) (pow (fabs x) 6))
341.0ms
(* (/ 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) (pow (fabs x) 6)) (fabs x))))
46.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify58.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
011203543
150013095

prune701.0ms

Filtered
160 candidates to 115 candidates (71.9%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1564160
Fresh437
Picked101
Done000
Total1617168

Merged error: 0b

Counts
168 → 7

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (* (* (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 (pow (fabs x) 6)) 21.0) (fabs x))))
0.2b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b
(sqrt PI)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
122×pow1
60×pow-plus pow-prod-up
44×add-exp-log add-cbrt-cube
36×add-sqr-sqrt associate-*l*
29×times-frac
27×add-cube-cbrt *-un-lft-identity
24×prod-exp cbrt-unprod
17×pow-prod-down
14×associate-*l/
13×sqrt-prod
12×frac-add
8×pow2 pow-sqr
7×associate-*r*
6×frac-times flip3-+ associate-*r/ flip-+
4×cbrt-undiv div-exp pow3 add-log-exp
3×*-commutative unswap-sqr
2×div-inv
1×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2
Counts
4 → 167
Calls
4 calls:
13.0ms
(* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))
16.0ms
(* (/ 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 (pow (fabs x) 6)) 21.0) (fabs x))))
16.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series438.0ms

Counts
4 → 10
Calls
4 calls:
46.0ms
(* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))
339.0ms
(* (/ 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 (pow (fabs x) 6)) 21.0) (fabs x))))
52.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify52.0ms

Algorithm
egg-herbie
Counts
177 → 177
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010533488
150012957

prune574.0ms

Filtered
177 candidates to 96 candidates (54.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1761177
Fresh246
Picked011
Done000
Total1786184

Merged error: 0b

Counts
184 → 6

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b
(sqrt PI)
1.0b
(sqrt PI)
1.0b
(* (/ 1.0 (sqrt PI)) (/ 1.0 21.0))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
43×times-frac
37×add-exp-log add-cbrt-cube
35×associate-*l*
33×add-cube-cbrt *-un-lft-identity
17×pow1 sqrt-prod
16×prod-exp cbrt-unprod
14×associate-*r*
7×cbrt-undiv div-exp pow-prod-down
6×unswap-sqr
4×add-log-exp
3×div-inv
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative
1×frac-times associate-*r/
Counts
4 → 125
Calls
4 calls:
11.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)
2.0ms
(sqrt PI)
12.0ms
(* (/ 1.0 (sqrt PI)) (/ 1.0 21.0))

series52.0ms

Counts
4 → 6
Calls
4 calls:
52.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)
0.0ms
(* (/ 1.0 (sqrt PI)) (/ 1.0 21.0))

simplify62.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0604864
12540745
25001741

prune500.0ms

Filtered
131 candidates to 89 candidates (67.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1310131
Fresh044
Picked011
Done011
Total1316137

Merged error: 0b

Counts
137 → 6

regimes156.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04133
14133

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.2s13993×body80valid

Profiling

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