Details

Time bar (total: 3.3s)

analyze474.0ms

Algorithm
search

sample22.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms34×body80invalid

simplify25.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0246
1466
2736
3996
41196
51456
61786
72536
83336
94676
104676

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* y z) 2.0)
0.0b
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
0.0b
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
add-exp-log add-cbrt-cube
*-un-lft-identity
add-sqr-sqrt add-cube-cbrt
pow1 times-frac associate-/r*
cbrt-undiv sub-neg associate-+l+ diff-log div-exp sum-log
+-commutative associate-+l- flip3-- frac-2neg flip3-+ associate-*l/ prod-exp clear-num frac-sub flip-- cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
3 → 50
Calls
3 calls:
4.0ms
(/ (* y z) 2.0)
9.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
8.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)

series23.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(/ (* y z) 2.0)
8.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
11.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)

simplify34.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0282355
11056330
25001330

prune72.0ms

Filtered
43 candidates to 59 candidates (-37.2%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New58159
Fresh000
Picked011
Done000
Total58260

Merged error: 0.0b

Counts
60 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- (* (/ 1.0 8.0) x) (* (/ y (sqrt 2.0)) (/ z (sqrt 2.0)))) t)
0.3b
(* (/ y (sqrt 2.0)) (/ z (sqrt 2.0)))
0.4b
(/ y (sqrt 2.0))
0.5b
(/ z (sqrt 2.0))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
90×add-sqr-sqrt
84×times-frac
62×*-un-lft-identity
60×add-cube-cbrt
48×sqrt-prod
22×associate-*r* associate-*l*
20×add-exp-log add-cbrt-cube
12×associate-/r*
add-log-exp unswap-sqr
pow1 cbrt-undiv div-exp associate-/l*
prod-exp cbrt-unprod div-inv
associate-+l+ frac-2neg clear-num sum-log
+-commutative frac-times associate-+l- sub-neg flip3-+ diff-log associate-*r/ pow-prod-down associate-*l/ *-commutative flip-+ distribute-lft-out
Counts
4 → 167
Calls
4 calls:
7.0ms
(+ (- (* (/ 1.0 8.0) x) (* (/ y (sqrt 2.0)) (/ z (sqrt 2.0)))) t)
16.0ms
(* (/ y (sqrt 2.0)) (/ z (sqrt 2.0)))
6.0ms
(/ y (sqrt 2.0))
4.0ms
(/ z (sqrt 2.0))

series47.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(+ (- (* (/ 1.0 8.0) x) (* (/ y (sqrt 2.0)) (/ z (sqrt 2.0)))) t)
12.0ms
(* (/ y (sqrt 2.0)) (/ z (sqrt 2.0)))
5.0ms
(/ y (sqrt 2.0))
5.0ms
(/ z (sqrt 2.0))

simplify64.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05331256
123361149
250031082

prune260.0ms

Filtered
113 candidates to 179 candidates (-58.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1781179
Fresh000
Picked011
Done011
Total1783181

Merged error: 0.0b

Counts
181 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ y (sqrt (sqrt 2.0))) (/ z (sqrt 2.0)))
0.3b
(* (/ 1 (sqrt (sqrt 2.0))) (* (/ y (sqrt (sqrt 2.0))) (/ z (sqrt 2.0))))
0.5b
(/ z (sqrt 2.0))
1.0b
(/ 1 (sqrt (sqrt 2.0)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
134×times-frac
133×add-sqr-sqrt
124×sqrt-prod
99×add-exp-log
92×add-cube-cbrt *-un-lft-identity
62×associate-*l*
61×add-cbrt-cube
40×prod-exp
33×div-exp
23×associate-*r*
22×cbrt-unprod
19×cbrt-undiv
15×associate-/r*
14×pow1
12×unswap-sqr
frac-times rec-exp 1-exp associate-*r/ associate-/l*
pow-flip div-inv
sqrt-pow1 pow-prod-down associate-*l/ add-log-exp
frac-2neg pow1/2 clear-num *-commutative
inv-pow
Counts
4 → 262
Calls
4 calls:
19.0ms
(* (/ y (sqrt (sqrt 2.0))) (/ z (sqrt 2.0)))
18.0ms
(* (/ 1 (sqrt (sqrt 2.0))) (* (/ y (sqrt (sqrt 2.0))) (/ z (sqrt 2.0))))
4.0ms
(/ z (sqrt 2.0))
5.0ms
(/ 1 (sqrt (sqrt 2.0)))

series40.0ms

Counts
4 → 10
Calls
4 calls:
18.0ms
(* (/ y (sqrt (sqrt 2.0))) (/ z (sqrt 2.0)))
12.0ms
(* (/ 1 (sqrt (sqrt 2.0))) (* (/ y (sqrt (sqrt 2.0))) (/ z (sqrt 2.0))))
5.0ms
(/ z (sqrt 2.0))
5.0ms
(/ 1 (sqrt (sqrt 2.0)))

simplify107.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
08082408
147411982
250011828

prune472.0ms

Filtered
146 candidates to 272 candidates (-86.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2720272
Fresh000
Picked011
Done022
Total2723275

Merged error: 0.0b

Counts
275 → 3

regimes474.0ms

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
0166
1166

end0.0ms

analyze454.0ms

Algorithm
search

sample573.0ms

Algorithm
intervals
Results
312.0ms8000×body80valid
46.0ms1168×body80invalid

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