Details

Time bar (total: 7.6s)

analyze1.1s

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
25%74.9%0.1%6
25%74.9%0.1%7
37.4%62.4%0.1%8
37.4%62.4%0.1%9
37.4%62.4%0.1%10
43.7%56.2%0.1%11
43.7%56.2%0.1%12
43.7%56.2%0.1%13
61.7%38.2%0.1%14

sample37.0ms

Algorithm
intervals
Results
25.0ms256×body80valid

simplify44.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05518
113818
245018
3159718
4500118

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 25.4b

Counts
2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
0.0b
(* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x)
0.1b
(* (+ (* x 4.16438922228) 78.6994924154) x)
24.6b
(/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×add-exp-log add-cbrt-cube
12×add-cube-cbrt *-un-lft-identity
10×pow1
9×associate-*r* associate-*l*
8×associate-*l/ associate-/l/
7×flip3-+ flip-+
4×frac-times prod-exp cbrt-unprod add-log-exp
3×flip3-- times-frac pow-prod-down associate-/r* *-commutative flip-- unswap-sqr
2×cbrt-undiv associate-*r/ div-exp associate-/r/
1×frac-2neg clear-num div-inv associate-/l*
Counts
4 → 91
Calls
4 calls:
9.0ms
(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
12.0ms
(* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x)
6.0ms
(* (+ (* x 4.16438922228) 78.6994924154) x)
31.0ms
(/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

series71.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
14.0ms
(* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x)
7.0ms
(* (+ (* x 4.16438922228) 78.6994924154) x)
46.0ms
(/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

simplify166.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
06731268
133511088
250011088

prune273.0ms

Filtered
75 candidates to 103 candidates (-37.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New967103
Fresh000
Picked101
Done000
Total977104

Merged error: 0.0b

Counts
104 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
0.0b
(* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x)
0.1b
(* (+ (* x 4.16438922228) 78.6994924154) x)
23.2b
(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
12×add-exp-log add-cbrt-cube
10×pow1
9×times-frac associate-*r* associate-*l*
6×associate-*l/
5×flip3-+ flip-+
4×add-log-exp
3×pow-prod-down prod-exp associate-/r* *-commutative cbrt-unprod associate-/l* unswap-sqr
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 91
Calls
4 calls:
8.0ms
(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
12.0ms
(* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x)
6.0ms
(* (+ (* x 4.16438922228) 78.6994924154) x)
25.0ms
(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

series55.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
8.0ms
(* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x)
6.0ms
(* (+ (* x 4.16438922228) 78.6994924154) x)
37.0ms
(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

simplify67.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05641293
124141159
250021159

prune231.0ms

Filtered
75 candidates to 103 candidates (-37.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1012103
Fresh246
Picked011
Done000
Total1037110

Merged error: 0.0b

Counts
110 → 7

localize31.0ms

Local error

Found 4 expressions with local error:

7.9b
(sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
7.9b
(sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
14.8b
(/ (/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))
20.1b
(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
288×times-frac
164×add-sqr-sqrt
162×add-cube-cbrt *-un-lft-identity
156×sqrt-prod
27×associate-/l*
22×sqrt-div
18×associate-/r/
12×flip3-+ associate-/r* flip-+
11×add-exp-log add-cbrt-cube
9×div-inv
6×pow1
4×cbrt-undiv div-exp add-log-exp
3×associate-/l/
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
Counts
4 → 264
Calls
4 calls:
14.0ms
(sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
13.0ms
(sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
49.0ms
(/ (/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))
30.0ms
(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))

series121.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
7.0ms
(sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
43.0ms
(/ (/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))
64.0ms
(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))

simplify167.0ms

Algorithm
egg-herbie
Counts
276 → 276
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
083810665
130049902
250019696

prune1.0s

Filtered
146 candidates to 276 candidates (-89.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2760276
Fresh055
Picked011
Done011
Total2767283

Merged error: 0.0b

Counts
283 → 7

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x))
12.0b
(+ (* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x)) (- (* 263.505074721 263.505074721) (* (* (+ x 43.3400022514) x) 263.505074721)))
23.2b
(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (/ (* (+ (pow (* (+ x 43.3400022514) x) 3) (pow 263.505074721 3)) x) (+ (* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x)) (- (* 263.505074721 263.505074721) (* (* (+ x 43.3400022514) x) 263.505074721)))) 313.399215894) x) 47.066876606))
23.6b
(/ (* (+ (pow (* (+ x 43.3400022514) x) 3) (pow 263.505074721 3)) x) (+ (* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x)) (- (* 263.505074721 263.505074721) (* (* (+ x 43.3400022514) x) 263.505074721))))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
72×associate-*l/
43×pow1
35×flip3-+ flip-+
32×frac-add
23×add-exp-log add-cbrt-cube
20×frac-times associate-/r/
17×pow-prod-down
16×flip3-- flip--
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
10×associate-*r/
9×prod-exp cbrt-unprod add-log-exp
6×associate-/r*
4×pow-sqr pow-prod-up associate-/l/ associate-/l*
3×cbrt-undiv div-exp
2×associate-+r+ frac-2neg pow-plus clear-num sum-log div-inv
1×+-commutative pow2 associate-+r- sub-neg diff-log swap-sqr associate-*r* associate-*l* *-commutative
Counts
4 → 145
Calls
4 calls:
14.0ms
(* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x))
18.0ms
(+ (* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x)) (- (* 263.505074721 263.505074721) (* (* (+ x 43.3400022514) x) 263.505074721)))
60.0ms
(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (/ (* (+ (pow (* (+ x 43.3400022514) x) 3) (pow 263.505074721 3)) x) (+ (* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x)) (- (* 263.505074721 263.505074721) (* (* (+ x 43.3400022514) x) 263.505074721)))) 313.399215894) x) 47.066876606))
34.0ms
(/ (* (+ (pow (* (+ x 43.3400022514) x) 3) (pow 263.505074721 3)) x) (+ (* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x)) (- (* 263.505074721 263.505074721) (* (* (+ x 43.3400022514) x) 263.505074721))))

series496.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x))
5.0ms
(+ (* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x)) (- (* 263.505074721 263.505074721) (* (* (+ x 43.3400022514) x) 263.505074721)))
472.0ms
(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (/ (* (+ (pow (* (+ x 43.3400022514) x) 3) (pow 263.505074721 3)) x) (+ (* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x)) (- (* 263.505074721 263.505074721) (* (* (+ x 43.3400022514) x) 263.505074721)))) 313.399215894) x) 47.066876606))
15.0ms
(/ (* (+ (pow (* (+ x 43.3400022514) x) 3) (pow 263.505074721 3)) x) (+ (* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x)) (- (* 263.505074721 263.505074721) (* (* (+ x 43.3400022514) x) 263.505074721))))

simplify67.0ms

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
011404068
150013771

prune742.0ms

Filtered
103 candidates to 157 candidates (-52.4%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1570157
Fresh044
Picked011
Done022
Total1577164

Merged error: 0.0b

Counts
164 → 7

regimes273.0ms

Accuracy

96.8% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 25.0b

bsearch133.0ms

Steps
ItersRangePoint
10
1087.7909406991705
154316129315502.44
151771159418052.9
7
-2.59351377672214e+44
-2.416889693937055e+42
-1.4161025064023432e+44

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06123
16323
26323

end0.0ms

analyze1.1s

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
25%74.9%0.1%6
25%74.9%0.1%7
37.4%62.4%0.1%8
37.4%62.4%0.1%9
37.4%62.4%0.1%10
43.7%56.2%0.1%11
43.7%56.2%0.1%12
43.7%56.2%0.1%13
61.7%38.2%0.1%14

sample865.0ms

Algorithm
intervals
Results
686.0ms8000×body80valid
1.0ms7×body80invalid

Profiling

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