Details

Time bar (total: 7.3s)

sample18.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0288
1508
2698
3758
4758

prune2.0ms

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: 0.0b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 0.99229 (* x 0.04481))
0.0b
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.1b
(* x (+ 0.99229 (* x 0.04481)))
15.1b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
65×add-sqr-sqrt
60×*-un-lft-identity
58×add-cube-cbrt
46×times-frac
45×prod-diff
15×fma-neg
10×associate-/r/
8×add-exp-log flip3-+ add-cbrt-cube flip-+ add-log-exp
6×pow1
5×div-inv
4×expm1-log1p-u log1p-expm1-u
3×fma-def associate-*r* associate-*l* associate-/r* associate-/l*
2×associate-*r/ associate-/l/ difference-of-squares
1×cbrt-undiv +-commutative distribute-rgt-in sub-neg flip3-- frac-2neg distribute-lft-in diff-log div-exp pow-prod-down prod-exp clear-num sum-log *-commutative flip-- cbrt-unprod distribute-lft-out-- unswap-sqr
Counts
4 → 150
Calls
4 calls:
3.0ms
(+ 0.99229 (* x 0.04481))
12.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
7.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series247.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ 0.99229 (* x 0.04481))
86.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
67.0ms
(* x (+ 0.99229 (* x 0.04481)))
58.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify84.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06042053
124321582
250011515

prune311.0ms

Filtered
162 candidates to 111 candidates (68.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1593162
Fresh000
Picked011
Done000
Total1594163

Merged error: 0b

Counts
163 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(log1p (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
0.0b
(expm1 (log1p (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
15.1b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
9×times-frac
8×add-exp-log add-cbrt-cube
6×pow1
5×expm1-log1p-u
4×log1p-expm1-u add-log-exp
3×flip3-+ associate-*r* associate-*l* associate-/r* flip-+ associate-/l*
2×associate-*r/ associate-/r/ associate-/l/
1×cbrt-undiv distribute-rgt-in log1p-udef expm1-log1p frac-2neg distribute-lft-in log1p-expm1 div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv expm1-udef unswap-sqr
Counts
4 → 79
Calls
4 calls:
1.0ms
(log1p (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
1.0ms
(expm1 (log1p (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
6.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series473.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(log1p (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
202.0ms
(expm1 (log1p (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
65.0ms
(* x (+ 0.99229 (* x 0.04481)))
60.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify57.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0468812
11943702
25002676

prune226.0ms

Filtered
91 candidates to 76 candidates (83.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New91091
Fresh022
Picked011
Done011
Total91495

Merged error: 0b

Counts
95 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ (/ (fma 0.27061 x 2.30753) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
15.5b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
15.5b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
15.5b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
2664×times-frac
1344×cbrt-prod
1198×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
150×associate-/l*
106×cbrt-div
100×associate-/r/
53×flip3-+ flip-+
50×div-inv
13×add-exp-log
7×add-cbrt-cube
6×cbrt-undiv div-exp associate-/r*
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
1×frac-2neg clear-num associate-/l/
Counts
4 → 1122
Calls
4 calls:
46.0ms
(/ (/ (/ (fma 0.27061 x 2.30753) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
2.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
2.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
2.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series504.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(/ (/ (/ (fma 0.27061 x 2.30753) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
149.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
147.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
149.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify439.0ms

Algorithm
egg-herbie
Counts
1134 → 1134
Iterations

Useful iterations: 1 (61.0ms)

IterNodesCost
0357444807
1500144137

prune3.4s

Filtered
1134 candidates to 854 candidates (75.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New113401134
Fresh011
Picked011
Done022
Total113441138

Merged error: 0b

Counts
1138 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ (fma 0.27061 x 2.30753) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
0.2b
(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
15.1b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
15.1b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
95×add-sqr-sqrt
76×times-frac
53×*-un-lft-identity
47×add-cube-cbrt sqrt-prod
30×add-exp-log
24×associate-*r* associate-*l*
18×add-cbrt-cube
15×unswap-sqr
10×pow1 sqrt-div div-exp
8×prod-exp
6×associate-/r* associate-/r/
5×cbrt-undiv flip3-+ flip-+
4×expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp
3×rec-exp pow-flip sqrt-pow1 pow1/2 1-exp div-inv associate-/l*
2×rem-sqrt-square
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
4 → 172
Calls
4 calls:
25.0ms
(* (/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ (fma 0.27061 x 2.30753) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
5.0ms
(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
3.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
3.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series339.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* (/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ (fma 0.27061 x 2.30753) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
106.0ms
(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
84.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
86.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify94.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
07232637
136042342
250022137

prune380.0ms

Filtered
184 candidates to 114 candidates (62.0%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1840184
Fresh000
Picked011
Done033
Total1844188

Merged error: 0b

Counts
188 → 4

regimes39.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208
1208

end0.0ms

sample405.0ms

Algorithm
intervals
Results
312.0ms8000×body80valid

Profiling

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