Details

Time bar (total: 2.8s)

sample26.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 99.987793%

Results
11.0ms256×body80valid

simplify117.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0319
1519
2699
3869
4949
51059
61399
71779
82029
92469
104169
116159
129929
1319489
1422409
1531549
1650019

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize16.0ms

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)))
15.3b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
10×times-frac
8×add-exp-log add-cbrt-cube add-log-exp
6×pow1
4×flip3-+ flip-+
3×associate-*r* associate-*l* associate-/r* associate-/l*
2×associate-*r/ 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 div-inv distribute-lft-out-- unswap-sqr
Counts
4 → 79
Calls
4 calls:
3.0ms
(+ 0.99229 (* x 0.04481))
10.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
6.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series21.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ 0.99229 (* x 0.04481))
7.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
6.0ms
(* x (+ 0.99229 (* x 0.04481)))
5.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify54.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0437781
11823736
25002729

prune146.0ms

Filtered
69 candidates to 91 candidates (-31.9%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New88391
Fresh000
Picked101
Done000
Total89392

Merged error: 0b

Counts
92 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
0.1b
(/ (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
15.3b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
15.3b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite40.0ms

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:
7.0ms
(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
15.0ms
(/ (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
2.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
3.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series22.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
5.0ms
(/ (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
5.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
5.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify114.0ms

Algorithm
egg-herbie
Counts
276 → 276
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
09296227
135405694
250025608

prune622.0ms

Filtered
150 candidates to 276 candidates (-84.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2760276
Fresh022
Picked011
Done000
Total2763279

Merged error: 0b

Counts
279 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (cbrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)) (cbrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
15.3b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
15.3b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
15.3b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
50×*-un-lft-identity
36×add-cube-cbrt
32×cbrt-prod
31×times-frac
12×add-exp-log cbrt-div
11×pow1 swap-sqr
10×add-cbrt-cube
9×associate-*r* associate-*l* associate-/r* associate-/l*
8×difference-of-squares
6×flip3-- flip3-+ pow1/3 associate-/r/ flip-- flip-+ associate-/l/ distribute-lft-out--
4×frac-times add-log-exp unswap-sqr
3×cbrt-undiv frac-2neg div-exp clear-num div-inv
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 152
Calls
4 calls:
23.0ms
(* (cbrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)) (cbrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
6.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
8.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
6.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series29.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(* (cbrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)) (cbrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
5.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
5.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
5.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify71.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04952722
118542598
250012441

prune688.0ms

Filtered
123 candidates to 164 candidates (-33.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1640164
Fresh011
Picked011
Done011
Total1643167

Merged error: 0b

Counts
167 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 1.900161040244073 (pow x 2)) 2.30753)
0.1b
(* 0.70711 (- (+ (* 1.900161040244073 (pow x 2)) 2.30753) (* 3.0191289436999997 x)))
0.1b
(* 1.900161040244073 (pow x 2))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
11×associate-*r*
10×add-exp-log
8×add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
6×associate-*l*
5×pow1 add-log-exp unswap-sqr
4×unpow-prod-down prod-exp
3×distribute-rgt-in distribute-lft-in
2×sub-neg associate-*r/ associate--l+ *-commutative cbrt-unprod unpow2 sqr-pow
1×+-commutative pow-to-exp flip3-- flip3-+ pow-prod-down pow-exp sum-log flip-- flip-+
Counts
3 → 64
Calls
3 calls:
4.0ms
(+ (* 1.900161040244073 (pow x 2)) 2.30753)
9.0ms
(* 0.70711 (- (+ (* 1.900161040244073 (pow x 2)) 2.30753) (* 3.0191289436999997 x)))
5.0ms
(* 1.900161040244073 (pow x 2))

series11.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (* 1.900161040244073 (pow x 2)) 2.30753)
3.0ms
(* 0.70711 (- (+ (* 1.900161040244073 (pow x 2)) 2.30753) (* 3.0191289436999997 x)))
3.0ms
(* 1.900161040244073 (pow x 2))

simplify41.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0301403
11251365
25001365

prune88.0ms

Filtered
46 candidates to 73 candidates (-58.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New73073
Fresh000
Picked011
Done022
Total73376

Merged error: 0b

Counts
76 → 3

regimes67.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02516
12516

end0.0ms

sample502.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 99.987793%

Results
362.0ms8000×body80valid

Profiling

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