Details

Time bar (total: 6.5s)

analyze936.0ms

Algorithm
search

sample32.0ms

Algorithm
intervals
Results
22.0ms256×body80valid

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05518
113818
245018
3159718
4500118

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 27.2b

Counts
2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x)
0.1b
(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
0.1b
(* (+ (* x 4.16438922228) 78.6994924154) x)
26.2b
(/ (* (- 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))

rewrite58.0ms

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:
13.0ms
(* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x)
8.0ms
(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
6.0ms
(* (+ (* x 4.16438922228) 78.6994924154) x)
27.0ms
(/ (* (- 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))

series56.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x)
3.0ms
(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
5.0ms
(* (+ (* x 4.16438922228) 78.6994924154) x)
38.0ms
(/ (* (- 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))

simplify81.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
06731268
133511088
250011088

prune243.0ms

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: 0.2b

Counts
104 → 8

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ x 43.3400022514) x) 263.505074721) 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)))
25.1b
(/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))

rewrite77.0ms

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:
8.0ms
(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
6.0ms
(* (+ (* x 4.16438922228) 78.6994924154) x)
27.0ms
(/ (- 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)))
24.0ms
(/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))

series80.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
6.0ms
(* (+ (* x 4.16438922228) 78.6994924154) x)
39.0ms
(/ (- 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)))
32.0ms
(/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))

simplify129.0ms

Algorithm
egg-herbie
Counts
196 → 196
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
09764918
142724691
250014691

prune617.0ms

Filtered
143 candidates to 196 candidates (-37.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1942196
Fresh257
Picked011
Done000
Total1968204

Merged error: 0.2b

Counts
204 → 8

localize29.0ms

Local error

Found 4 expressions with local error:

8.2b
(sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
15.2b
(/ (- x 2.0) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))
15.3b
(* (/ (- x 2.0) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))) (/ (+ (* (+ (* (+ (* (+ (* 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))))
22.0b
(/ (+ (* (+ (* (+ (* (+ (* 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)))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
126×add-sqr-sqrt
108×times-frac
95×*-un-lft-identity
69×add-cube-cbrt
63×sqrt-prod
36×associate-*l*
24×associate-*r*
20×add-exp-log add-cbrt-cube
13×distribute-lft-out-- difference-of-squares
12×associate-/r*
10×sqrt-div
9×unswap-sqr
8×associate-/r/ associate-/l*
7×pow1
6×cbrt-undiv flip3-+ div-exp flip-+
4×prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp
2×frac-2neg clear-num
1×frac-times rem-sqrt-square flip3-- sqrt-pow1 pow1/2 div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative flip--
Counts
4 → 205
Calls
4 calls:
11.0ms
(sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
16.0ms
(/ (- x 2.0) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))
60.0ms
(* (/ (- x 2.0) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))) (/ (+ (* (+ (* (+ (* (+ (* 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))))
25.0ms
(/ (+ (* (+ (* (+ (* (+ (* 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)))

series106.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
8.0ms
(/ (- x 2.0) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))
40.0ms
(* (/ (- x 2.0) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))) (/ (+ (* (+ (* (+ (* (+ (* 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))))
52.0ms
(/ (+ (* (+ (* (+ (* (+ (* 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)))

simplify123.0ms

Algorithm
egg-herbie
Counts
217 → 217
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
08945675
136115204
250015070

prune848.0ms

Filtered
141 candidates to 217 candidates (-53.9%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New2161217
Fresh066
Picked011
Done011
Total2169225

Merged error: 0.2b

Counts
225 → 9

localize29.0ms

Local error

Found 4 expressions with local error:

21.3b
(cbrt (* (+ (* (+ x 43.3400022514) x) 263.505074721) x))
21.3b
(cbrt (* (+ (* (+ x 43.3400022514) x) 263.505074721) x))
21.3b
(cbrt (* (+ (* (+ x 43.3400022514) x) 263.505074721) x))
26.2b
(/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (* (+ (* (* (cbrt (* (+ (* (+ x 43.3400022514) x) 263.505074721) x)) (cbrt (* (+ (* (+ x 43.3400022514) x) 263.505074721) x))) (cbrt (* (+ (* (+ x 43.3400022514) x) 263.505074721) x))) 313.399215894) x) 47.066876606))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log add-cbrt-cube
8×associate-*l/ associate-/l/
7×flip3-+ flip-+
6×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 frac-times add-log-exp
3×cbrt-prod flip3-- times-frac pow1/3 associate-/r* flip--
2×cbrt-undiv associate-*r/ div-exp associate-/r/
1×frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l*
Counts
4 → 64
Calls
4 calls:
7.0ms
(cbrt (* (+ (* (+ x 43.3400022514) x) 263.505074721) x))
7.0ms
(cbrt (* (+ (* (+ x 43.3400022514) x) 263.505074721) x))
7.0ms
(cbrt (* (+ (* (+ x 43.3400022514) x) 263.505074721) x))
37.0ms
(/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (* (+ (* (* (cbrt (* (+ (* (+ x 43.3400022514) x) 263.505074721) x)) (cbrt (* (+ (* (+ x 43.3400022514) x) 263.505074721) x))) (cbrt (* (+ (* (+ x 43.3400022514) x) 263.505074721) x))) 313.399215894) x) 47.066876606))

series85.0ms

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

simplify68.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05471906
124061628
250011613

prune307.0ms

Filtered
66 candidates to 76 candidates (-15.2%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New76076
Fresh066
Picked011
Done022
Total76985

Merged error: 0.2b

Counts
85 → 9

regimes425.0ms

Accuracy

97.2% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 25.2b

bsearch94.0ms

Steps
ItersRangePoint
11
2.5006458014968354e+25
1.569936549076384e+45
1.5470060966000896e+45
9
-4.2077104956513315e+52
-2.6873463728231766e+47
-8.70305606666815e+49

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06023
16223
26223

end0.0ms

analyze940.0ms

Algorithm
search

sample821.0ms

Algorithm
intervals
Results
646.0ms8000×body80valid
0.0ms6×body80invalid

Profiling

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