Details

Time bar (total: 3.1s)

sample16.0ms

Algorithm
intervals
Results
8.0ms256×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

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 2.30753 (* x 0.27061))
0.0b
(+ 0.99229 (* x 0.04481))
0.0b
(* x (+ 0.99229 (* x 0.04481)))
13.1b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
9×times-frac
8×add-exp-log add-cbrt-cube add-log-exp
6×pow1 fma-def
5×flip3-+ flip-+
4×expm1-log1p-u log1p-expm1-u
3×associate-*r* associate-*l* associate-/r* associate-/l*
2×+-commutative associate-*r/ sum-log associate-/r/ associate-/l/
1×cbrt-undiv distribute-rgt-in frac-2neg distribute-lft-in div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 89
Calls
4 calls:
3.0ms
(+ 2.30753 (* x 0.27061))
3.0ms
(+ 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)))))

series198.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ 2.30753 (* x 0.27061))
38.0ms
(+ 0.99229 (* x 0.04481))
64.0ms
(* x (+ 0.99229 (* x 0.04481)))
62.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify57.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0421651
11810561
25001544

prune215.0ms

Filtered
101 candidates to 83 candidates (82.2%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New992101
Fresh000
Picked101
Done000
Total1002102

Merged error: 0b

Counts
102 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ (fma 0.27061 x 2.30753) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
0.2b
(/ (fma 0.27061 x 2.30753) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
13.1b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
13.1b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite39.0ms

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×associate-/r*
11×add-exp-log flip3-+ add-cbrt-cube flip-+
9×div-inv
6×pow1
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
1×associate-/l/
Counts
4 → 270
Calls
4 calls:
13.0ms
(/ (/ (fma 0.27061 x 2.30753) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
5.0ms
(/ (fma 0.27061 x 2.30753) (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)))))

series391.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(/ (/ (fma 0.27061 x 2.30753) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
165.0ms
(/ (fma 0.27061 x 2.30753) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
82.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
82.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify115.0ms

Algorithm
egg-herbie
Counts
282 → 282
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
09015881
133685317
250015280

prune529.0ms

Filtered
282 candidates to 156 candidates (55.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2820282
Fresh011
Picked011
Done000
Total2822284

Merged error: 0b

Counts
284 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 2.30753 (* x 0.27061))
0.0b
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (pow (exp x) (fma 0.04481 x 0.99229))))) x)
0.0b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (pow (exp x) (fma 0.04481 x 0.99229)))))
2.9b
(log (pow (exp x) (fma 0.04481 x 0.99229)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
100×*-un-lft-identity
71×add-sqr-sqrt
66×add-cube-cbrt
61×times-frac
54×prod-diff
18×fma-neg
16×distribute-lft-out
10×associate-/r/
8×log-prod add-log-exp
7×add-exp-log flip3-+ flip-+
6×add-cbrt-cube
5×div-inv
4×pow1 expm1-log1p-u associate-/r* log1p-expm1-u
3×unpow-prod-down fma-def rem-log-exp associate-/l*
2×associate-/l/ difference-of-squares
1×cbrt-undiv unpow-prod-up +-commutative pow-to-exp sub-neg flip3-- frac-2neg diff-log div-exp pow-exp clear-num sum-log log-pow flip-- fma-udef distribute-lft-out-- sqr-pow
Counts
4 → 163
Calls
4 calls:
3.0ms
(+ 2.30753 (* x 0.27061))
14.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (pow (exp x) (fma 0.04481 x 0.99229))))) x)
7.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (pow (exp x) (fma 0.04481 x 0.99229)))))
7.0ms
(log (pow (exp x) (fma 0.04481 x 0.99229)))

series639.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ 2.30753 (* x 0.27061))
321.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (pow (exp x) (fma 0.04481 x 0.99229))))) x)
166.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (pow (exp x) (fma 0.04481 x 0.99229)))))
118.0ms
(log (pow (exp x) (fma 0.04481 x 0.99229)))

simplify81.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
05562481
119721840
250011757

prune358.0ms

Filtered
175 candidates to 108 candidates (61.7%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1750175
Fresh000
Picked011
Done011
Total1752177

Merged error: 0b

Counts
177 → 2

regimes12.0ms

Accuracy

0% (0.0b 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
01914
11914

end0.0ms

sample338.0ms

Algorithm
intervals
Results
246.0ms8000×body80valid

Profiling

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