Details

Time bar (total: 2.2s)

sample20.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
0504217

prune5.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
0.0b
(+ 0.99229 (* x 0.04481))
0.1b
(* (+ 0.99229 (* x 0.04481)) x)
14.8b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite29.0ms

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-*l/ associate-/r/ associate-/l/ difference-of-squares
1×cbrt-undiv +-commutative sub-neg flip3-- frac-2neg 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 → 77
Calls
4 calls:
10.0ms
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
3.0ms
(+ 0.99229 (* x 0.04481))
6.0ms
(* (+ 0.99229 (* x 0.04481)) x)
7.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series27.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
4.0ms
(+ 0.99229 (* x 0.04481))
7.0ms
(* (+ 0.99229 (* x 0.04481)) x)
5.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify46.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
049911468
149911468

prune159.0ms

Filtered
71 candidates to 89 candidates (-25.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New86389
Fresh000
Picked101
Done000
Total87390

Merged error: 0b

Counts
90 → 3

localize17.0ms

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 (* (+ 0.99229 (* x 0.04481)) x))))
14.8b
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
14.8b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite47.0ms

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:
8.0ms
(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
17.0ms
(/ (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
3.0ms
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
3.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series29.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
9.0ms
(/ (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
5.0ms
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
6.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify92.0ms

Algorithm
egg-herbie
Counts
276 → 276
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
051049667

prune618.0ms

Filtered
151 candidates to 276 candidates (-82.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2760276
Fresh022
Picked011
Done000
Total2763279

Merged error: 0b

Counts
279 → 3

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 0.27061 (- (* x 0.27061) 2.30753))
0.2b
(pow (* x 0.27061) 3)
0.3b
(* x (* 0.27061 (- (* x 0.27061) 2.30753)))
23.0b
(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (* (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ (* 2.30753 2.30753) (* x (* 0.27061 (- (* x 0.27061) 2.30753))))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
14×pow1 *-un-lft-identity
12×add-sqr-sqrt
10×distribute-rgt-in add-cube-cbrt distribute-lft-in
8×associate-*r/ associate-/r/
7×flip3-+ flip-+
6×sub-neg associate-*l* prod-exp cbrt-unprod
5×times-frac pow-prod-down associate-/l*
4×frac-times associate-*r* add-log-exp
3×pow-unpow
2×cbrt-undiv flip3-- pow-pow div-exp associate-*l/ pow-exp sum-cubes *-commutative flip-- associate-/l/ distribute-lft-out rem-cube-cbrt
1×cube-mult pow-to-exp unpow-prod-down frac-2neg unpow3 cube-prod clear-num associate-/r* div-inv unswap-sqr sqr-pow
Counts
4 → 109
Calls
4 calls:
8.0ms
(* 0.27061 (- (* x 0.27061) 2.30753))
4.0ms
(pow (* x 0.27061) 3)
10.0ms
(* x (* 0.27061 (- (* x 0.27061) 2.30753)))
19.0ms
(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (* (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ (* 2.30753 2.30753) (* x (* 0.27061 (- (* x 0.27061) 2.30753))))))

series30.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* 0.27061 (- (* x 0.27061) 2.30753))
7.0ms
(pow (* x 0.27061) 3)
8.0ms
(* x (* 0.27061 (- (* x 0.27061) 2.30753)))
9.0ms
(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (* (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ (* 2.30753 2.30753) (* x (* 0.27061 (- (* x 0.27061) 2.30753))))))

simplify32.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
050042007

prune256.0ms

Filtered
76 candidates to 121 candidates (-59.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1210121
Fresh011
Picked011
Done011
Total1213124

Merged error: 0b

Counts
124 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 3.0191289436999997 (* x 1.900161040244073))
0.1b
(* x (- 3.0191289436999997 (* x 1.900161040244073)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×sub-neg associate-*r* associate-*l*
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 36
Calls
2 calls:
3.0ms
(- 3.0191289436999997 (* x 1.900161040244073))
6.0ms
(* x (- 3.0191289436999997 (* x 1.900161040244073)))

series11.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(- 3.0191289436999997 (* x 1.900161040244073))
7.0ms
(* x (- 3.0191289436999997 (* x 1.900161040244073)))

simplify40.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05346353

prune42.0ms

Filtered
26 candidates to 42 candidates (-61.5%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New42042
Fresh000
Picked011
Done022
Total42345

Merged error: 0b

Counts
45 → 3

regimes30.0ms

Accuracy

0% (0.1b 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
02229
12229

end0.0ms

sample515.0ms

Algorithm
intervals
Results
364.0ms8000×body80valid

Profiling

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