Details

Time bar (total: 1.9s)

sample23.0ms

Algorithm
intervals
Results
8.0ms264×body80valid

simplify75.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0256
1656
21326
32086
42506
52876
63076
73476
84206
95736
1018836
1150016

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 17.9b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
17.7b
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
16×add-exp-log add-cbrt-cube
12×flip3-+ flip-+
9×pow1
8×add-sqr-sqrt frac-times associate-/r/
6×add-cube-cbrt swap-sqr distribute-lft-out
5×prod-exp cbrt-unprod
4×cbrt-undiv associate-*r/ div-exp associate-*r* associate-*l* associate-*l/
2×add-log-exp
1×distribute-lft-neg-out pow2 distribute-rgt-in frac-2neg distribute-lft-in times-frac pow-plus distribute-frac-neg pow-prod-down clear-num associate-/r* pow-sqr *-commutative pow-prod-up div-inv associate-/l* unswap-sqr
Counts
2 → 70
Calls
2 calls:
8.0ms
(* (+ t1 u) (+ t1 u))
10.0ms
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

series19.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(* (+ t1 u) (+ t1 u))
15.0ms
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

simplify60.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0381490
12039406
25001402

prune67.0ms

Filtered
76 candidates to 41 candidates (46.1%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New73376
Fresh000
Picked101
Done000
Total74377

Merged error: 0.0b

Counts
77 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.0b
(/ (neg t1) (+ t1 u))
2.0b
(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
125×*-un-lft-identity
108×times-frac
81×add-sqr-sqrt
69×add-cube-cbrt
46×associate-*l*
28×distribute-lft-out
27×distribute-lft-neg-in distribute-rgt-neg-in
19×add-exp-log add-cbrt-cube
18×associate-*r*
13×associate-/l*
9×neg-mul-1
8×associate-/r* associate-/r/
6×cbrt-undiv div-exp
5×pow1
4×flip3-+ prod-exp cbrt-unprod flip-+ div-inv unswap-sqr
3×add-log-exp
2×frac-2neg distribute-frac-neg clear-num
1×distribute-lft-neg-out neg-sub0 frac-times div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 192
Calls
3 calls:
5.0ms
(/ v (+ t1 u))
6.0ms
(/ (neg t1) (+ t1 u))
24.0ms
(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

series32.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ v (+ t1 u))
5.0ms
(/ (neg t1) (+ t1 u))
20.0ms
(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

simplify62.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05931281
126921197
250021197

prune149.0ms

Filtered
201 candidates to 134 candidates (33.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1974201
Fresh022
Picked011
Done000
Total1977204

Merged error: 0.0b

Counts
204 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.7b
(/ (* (neg t1) (/ v (+ t1 u))) (+ t1 u))
7.9b
(* (neg t1) (/ v (+ t1 u)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
30×add-sqr-sqrt
29×times-frac
25×add-cube-cbrt
19×add-exp-log add-cbrt-cube
18×associate-*r*
10×associate-*l*
9×distribute-lft-out
8×associate-/r*
6×cbrt-undiv div-exp associate-/r/
5×pow1
4×prod-exp cbrt-unprod associate-/l*
3×distribute-lft-neg-in distribute-rgt-neg-in flip3-+ flip-+ div-inv add-log-exp
2×distribute-lft-neg-out frac-2neg associate-*r/ clear-num unswap-sqr
1×neg-mul-1 distribute-frac-neg pow-prod-down *-commutative associate-/l/
Counts
3 → 107
Calls
3 calls:
5.0ms
(/ v (+ t1 u))
11.0ms
(/ (* (neg t1) (/ v (+ t1 u))) (+ t1 u))
11.0ms
(* (neg t1) (/ v (+ t1 u)))

series34.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ v (+ t1 u))
18.0ms
(/ (* (neg t1) (/ v (+ t1 u))) (+ t1 u))
10.0ms
(* (neg t1) (/ v (+ t1 u)))

simplify52.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0385649
12067570
25001570

prune89.0ms

Filtered
116 candidates to 79 candidates (31.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1151116
Fresh235
Picked011
Done011
Total1176123

Merged error: 0b

Counts
123 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ t1 u))
0.6b
(cbrt (+ t1 u))
0.6b
(cbrt (+ t1 u))
1.8b
(* (/ (/ (neg t1) (+ t1 u)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (/ v (cbrt (+ t1 u))))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
122×times-frac
77×*-un-lft-identity
72×add-sqr-sqrt
58×associate-*l*
45×add-exp-log add-cube-cbrt
32×add-cbrt-cube
27×cbrt-prod associate-*r*
20×cbrt-div
17×cbrt-undiv div-exp
16×distribute-lft-out
14×prod-exp cbrt-unprod
12×distribute-lft-neg-in distribute-rgt-neg-in associate-/r/
11×flip3-+ flip-+
9×unswap-sqr
6×pow1
5×frac-times
4×neg-mul-1 add-log-exp
3×pow1/3 associate-*r/ associate-*l/ div-inv
2×distribute-frac-neg
1×distribute-lft-neg-out pow-prod-down *-commutative
Counts
4 → 169
Calls
4 calls:
3.0ms
(cbrt (+ t1 u))
3.0ms
(cbrt (+ t1 u))
3.0ms
(cbrt (+ t1 u))
46.0ms
(* (/ (/ (neg t1) (+ t1 u)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (/ v (cbrt (+ t1 u))))

series117.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(cbrt (+ t1 u))
31.0ms
(cbrt (+ t1 u))
29.0ms
(cbrt (+ t1 u))
27.0ms
(* (/ (/ (neg t1) (+ t1 u)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (/ v (cbrt (+ t1 u))))

simplify95.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
09472230
140711982
250011895

prune153.0ms

Filtered
181 candidates to 135 candidates (25.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1801181
Fresh123
Picked011
Done112
Total1825187

Merged error: 0b

Counts
187 → 5

regimes148.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126
1166
2236
3236

end0.0ms

sample511.0ms

Algorithm
intervals
Results
258.0ms8269×body80valid

Profiling

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