Details

Time bar (total: 17.4s)

sample2.7s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 61.938477%

Results
22.0ms256×body80valid

simplify42.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 26.0b

Counts
2 → 1

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
0.1b
(* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x)
0.1b
(* (+ (* x 4.16438922228) 78.6994924154) x)
25.2b
(/ (* (- 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:
8.0ms
(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
12.0ms
(* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x)
7.0ms
(* (+ (* x 4.16438922228) 78.6994924154) x)
30.0ms
(/ (* (- 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))

series60.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
9.0ms
(* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x)
6.0ms
(* (+ (* x 4.16438922228) 78.6994924154) x)
42.0ms
(/ (* (- 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))

simplify83.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
06731268
133511088
250011088

prune246.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New958103
Fresh000
Picked101
Done000
Total968104

Merged error: 0.0b

Counts
104 → 8

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x)
0.1b
(* (+ (* x 4.16438922228) 78.6994924154) x)
0.3b
(/ (- x 2.0) (/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)))
23.7b
(/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
110×add-sqr-sqrt
106×*-un-lft-identity
74×add-cube-cbrt
18×associate-/r*
16×distribute-lft-out-- difference-of-squares
15×add-exp-log associate-/r/ add-cbrt-cube
10×flip3-+ flip-+
8×pow1 div-inv associate-/l*
6×associate-*r* associate-*l*
4×cbrt-undiv div-exp associate-*l/ associate-/l/ add-log-exp
2×frac-2neg pow-prod-down prod-exp clear-num *-commutative cbrt-unprod unswap-sqr
1×flip3-- div-sub flip--
Counts
4 → 184
Calls
4 calls:
12.0ms
(* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x)
6.0ms
(* (+ (* x 4.16438922228) 78.6994924154) x)
26.0ms
(/ (- x 2.0) (/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)))
28.0ms
(/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))

series91.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x)
6.0ms
(* (+ (* x 4.16438922228) 78.6994924154) x)
45.0ms
(/ (- x 2.0) (/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)))
31.0ms
(/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))

simplify135.0ms

Algorithm
egg-herbie
Counts
196 → 196
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
09764984
142834766
250024766

prune654.0ms

Filtered
145 candidates to 196 candidates (-35.2%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1942196
Fresh167
Picked101
Done000
Total1968204

Merged error: 0b

Counts
204 → 8

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* x 4.16438922228) 78.6994924154) x)
0.3b
(/ (- x 2.0) (* (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (/ 1 (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))))
0.4b
(/ 1 (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))
23.3b
(* (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (/ 1 (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
34×add-exp-log
29×*-un-lft-identity
25×times-frac
24×add-cube-cbrt
22×add-cbrt-cube
18×associate-*r*
11×div-exp
10×associate-/r/
9×pow1 prod-exp
8×associate-/l*
7×flip3-+ flip-+
6×cbrt-undiv associate-*l* associate-*l/
5×cbrt-unprod
4×frac-times associate-/r* add-log-exp unswap-sqr
3×rec-exp 1-exp div-inv
2×frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative associate-/l/ distribute-lft-out-- difference-of-squares
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
4 → 133
Calls
4 calls:
7.0ms
(* (+ (* x 4.16438922228) 78.6994924154) x)
31.0ms
(/ (- x 2.0) (* (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (/ 1 (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))))
14.0ms
(/ 1 (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))
31.0ms
(* (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (/ 1 (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)))

series101.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (+ (* x 4.16438922228) 78.6994924154) x)
40.0ms
(/ (- x 2.0) (* (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (/ 1 (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))))
15.0ms
(/ 1 (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))
38.0ms
(* (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (/ 1 (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)))

simplify91.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
06752447
131952101
250012070

prune490.0ms

Filtered
91 candidates to 145 candidates (-59.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1450145
Fresh077
Picked011
Done000
Total1458153

Merged error: 0b

Counts
153 → 8

localize35.0ms

Local error

Found 4 expressions with local error:

16.8b
(cbrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
16.8b
(cbrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
16.8b
(cbrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
20.1b
(* (/ (cbrt (- x 2.0)) (/ (* (cbrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)) (cbrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))) (cbrt (- x 2.0)))) (/ (cbrt (- x 2.0)) (/ (cbrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))))

rewrite403.0ms

Algorithm
rewrite-expression-head
Rules
652×times-frac
515×add-sqr-sqrt
381×cbrt-prod
305×*-un-lft-identity
213×add-cube-cbrt
197×associate-*r*
117×associate-*l*
58×add-exp-log
49×unswap-sqr
46×distribute-lft-out-- difference-of-squares
34×associate-/r/
27×cbrt-undiv div-exp
25×add-cbrt-cube
22×cbrt-div
18×div-inv
15×prod-exp cbrt-unprod
11×flip3-+ flip-+
8×flip3-- flip--
6×pow1
4×add-log-exp
3×pow1/3
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 438
Calls
4 calls:
12.0ms
(cbrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
12.0ms
(cbrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
15.0ms
(cbrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
329.0ms
(* (/ (cbrt (- x 2.0)) (/ (* (cbrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)) (cbrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))) (cbrt (- x 2.0)))) (/ (cbrt (- x 2.0)) (/ (cbrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))))

series84.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(cbrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
10.0ms
(cbrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
10.0ms
(cbrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
54.0ms
(* (/ (cbrt (- x 2.0)) (/ (* (cbrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)) (cbrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))) (cbrt (- x 2.0)))) (/ (cbrt (- x 2.0)) (/ (cbrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))))

simplify222.0ms

Algorithm
egg-herbie
Counts
450 → 450
Iterations

Useful iterations: 1 (49.0ms)

IterNodesCost
0254420882
1500220354

prune7.5s

Filtered
377 candidates to 450 candidates (-19.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New4500450
Fresh066
Picked011
Done011
Total4508458

Merged error: 0b

Counts
458 → 8

regimes357.0ms

Accuracy

95.9% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 24.5b

bsearch94.0ms

Steps
ItersRangePoint
8
13900731249033224.0
2.3835844453199884e+19
2.3448576227289756e+19
10
-8.668761476795209e+44
-2.073399886490573e+29
-9.484092968456938e+42

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06524
16724
26724

end0.0ms

sample3.6s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 61.938477%

Results
692.0ms8000×body80valid
1.0ms7×body80invalid

Profiling

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