Details

Time bar (total: 3.6s)

sample18.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0288
1428
2508
3508

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

rewrite19.0ms

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 add-log-exp
6×pow1
5×flip3-+ flip-+
3×associate-*r* associate-*l* associate-/r* associate-/l*
2×+-commutative distribute-rgt-in associate-+r+ distribute-lft-in associate-*r/ sum-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 77
Calls
4 calls:
3.0ms
(+ 0.99229 (* x 0.04481))
3.0ms
(+ 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)))))

series182.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ 0.99229 (* x 0.04481))
26.0ms
(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
62.0ms
(* x (+ 0.99229 (* x 0.04481)))
61.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify55.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0400666
11796614
25001614

prune185.0ms

Filtered
89 candidates to 67 candidates (75.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New85489
Fresh000
Picked101
Done000
Total86490

Merged error: 0.0b

Counts
90 → 4

localize13.0ms

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

rewrite45.0ms

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:
11.0ms
(/ (+ 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)))))
2.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series382.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
56.0ms
(/ (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
81.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
82.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify120.0ms

Algorithm
egg-herbie
Counts
276 → 276
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
09296229
135405694
250025608

prune482.0ms

Filtered
276 candidates to 150 candidates (54.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2751276
Fresh123
Picked011
Done000
Total2764280

Merged error: 0.0b

Counts
280 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.2b
(pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3)
8.1b
(cbrt (pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3))
14.8b
(/ (+ 2.30753 (* x 0.27061)) (cbrt (pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-prod
46×add-sqr-sqrt
45×times-frac
44×add-cube-cbrt *-un-lft-identity
18×unpow-prod-down cube-prod
15×associate-/r*
9×add-exp-log
8×add-cbrt-cube
7×pow1
6×cube-div cube-mult unpow3 sqr-pow
5×flip3-+ flip-+
4×cbrt-div add-log-exp
3×pow-unpow associate-*r* associate-*l* associate-/l*
2×associate-*r/ associate-/r/ associate-/l/
1×cbrt-undiv distribute-rgt-in pow-to-exp pow-pow frac-2neg distribute-lft-in pow1/3 div-exp pow-prod-down pow-exp prod-exp clear-num *-commutative rem-cbrt-cube cbrt-unprod div-inv rem-cube-cbrt unswap-sqr
Counts
4 → 149
Calls
4 calls:
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
4.0ms
(pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3)
3.0ms
(cbrt (pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3))
9.0ms
(/ (+ 2.30753 (* x 0.27061)) (cbrt (pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3)))

series195.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* x (+ 0.99229 (* x 0.04481)))
44.0ms
(pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3)
22.0ms
(cbrt (pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3))
62.0ms
(/ (+ 2.30753 (* x 0.27061)) (cbrt (pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3)))

simplify85.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
05671810
127081695
250011672

prune244.0ms

Filtered
161 candidates to 86 candidates (53.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1610161
Fresh022
Picked011
Done011
Total1614165

Merged error: 0.0b

Counts
165 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (cbrt (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (cbrt (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
14.8b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
14.8b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
14.8b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
84×add-sqr-sqrt
72×cbrt-prod
69×times-frac
60×add-cube-cbrt *-un-lft-identity
18×swap-sqr associate-*r* associate-*l*
14×associate-/r/
12×add-exp-log
11×pow1
10×flip3-+ add-cbrt-cube flip-+
9×associate-/r* associate-/l* unswap-sqr
7×div-inv
6×pow1/3 associate-/l/
4×cbrt-div add-log-exp
3×cbrt-undiv frac-2neg div-exp clear-num
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 177
Calls
4 calls:
18.0ms
(* (cbrt (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (cbrt (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
10.0ms
(/ (+ 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)))))
6.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series383.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(* (cbrt (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (cbrt (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
61.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
56.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
62.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify85.0ms

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05633240
121603079
250022946

prune531.0ms

Filtered
189 candidates to 150 candidates (79.4%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1890189
Fresh011
Picked011
Done022
Total1894193

Merged error: 0.0b

Counts
193 → 4

regimes20.0ms

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
02215
12215

end0.0ms

sample400.0ms

Algorithm
intervals
Results
302.0ms8000×body80valid

Profiling

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