Details

Time bar (total: 2.3s)

analyze244.0ms

Algorithm
search

sample18.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
0.0ms1×body80invalid

simplify72.0ms

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

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 17.2b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
16.9b
(/ (* (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))
16.0ms
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

simplify57.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0381490
12039406
25001402

prune72.0ms

Filtered
41 candidates to 76 candidates (-85.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New72476
Fresh000
Picked101
Done000
Total73477

Merged error: 0.0b

Counts
77 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.0b
(/ (neg t1) (+ t1 u))
1.5b
(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite43.0ms

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)))

series35.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ v (+ t1 u))
6.0ms
(/ (neg t1) (+ t1 u))
23.0ms
(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

simplify59.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05931281
126921197
250021197

prune163.0ms

Filtered
134 candidates to 201 candidates (-50.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1956201
Fresh123
Picked011
Done000
Total1969205

Merged error: 0b

Counts
205 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t1)
0.6b
(cbrt t1)
0.6b
(cbrt t1)
1.5b
(* (* (neg (* (cbrt t1) (cbrt t1))) (/ (cbrt t1) (+ t1 u))) (/ v (+ t1 u)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
23×add-cbrt-cube
21×*-un-lft-identity
18×associate-*r*
15×add-sqr-sqrt add-cube-cbrt
12×times-frac
10×prod-exp cbrt-unprod
9×pow1 cbrt-prod
5×cbrt-undiv div-exp
4×add-log-exp
3×pow1/3 associate-*r/ pow-prod-down distribute-lft-out
2×distribute-lft-neg-out associate-/r/
1×frac-times flip3-+ associate-*l* associate-*l/ *-commutative flip-+ div-inv
Counts
4 → 78
Calls
4 calls:
1.0ms
(cbrt t1)
1.0ms
(cbrt t1)
1.0ms
(cbrt t1)
14.0ms
(* (* (neg (* (cbrt t1) (cbrt t1))) (/ (cbrt t1) (+ t1 u))) (/ v (+ t1 u)))

series89.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt t1)
21.0ms
(cbrt t1)
21.0ms
(cbrt t1)
26.0ms
(* (* (neg (* (cbrt t1) (cbrt t1))) (/ (cbrt t1) (+ t1 u))) (/ v (+ t1 u)))

simplify64.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0407815
12268644
25001580

prune87.0ms

Filtered
60 candidates to 90 candidates (-50.0%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New90090
Fresh077
Picked011
Done011
Total90999

Merged error: 0b

Counts
99 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ t1 u))
0.6b
(cbrt (+ t1 u))
0.6b
(cbrt (+ t1 u))
1.5b
(* (* (/ -1 (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (/ t1 (cbrt (+ t1 u)))) (/ v (+ t1 u)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
69×add-exp-log
55×add-cbrt-cube
30×prod-exp cbrt-unprod
27×*-un-lft-identity
21×cbrt-undiv div-exp
18×associate-*r*
15×add-sqr-sqrt add-cube-cbrt
12×cbrt-prod times-frac
9×pow1
6×cbrt-div distribute-lft-out
5×frac-times associate-*l/
4×flip3-+ flip-+ add-log-exp
3×pow1/3 associate-*r/ pow-prod-down
2×associate-/r/
1×associate-*l* *-commutative div-inv
Counts
4 → 106
Calls
4 calls:
3.0ms
(cbrt (+ t1 u))
3.0ms
(cbrt (+ t1 u))
3.0ms
(cbrt (+ t1 u))
26.0ms
(* (* (/ -1 (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (/ t1 (cbrt (+ t1 u)))) (/ v (+ t1 u)))

series116.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(cbrt (+ t1 u))
31.0ms
(cbrt (+ t1 u))
29.0ms
(cbrt (+ t1 u))
26.0ms
(* (* (/ -1 (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (/ t1 (cbrt (+ t1 u)))) (/ v (+ t1 u)))

simplify97.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
06561459
135281137
250021001

prune100.0ms

Filtered
77 candidates to 118 candidates (-53.2%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1180118
Fresh066
Picked011
Done022
Total1189127

Merged error: 0b

Counts
127 → 9

regimes193.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126
1166
2196
3216
4216

end0.0ms

analyze239.0ms

Algorithm
search

sample407.0ms

Algorithm
intervals
Results
246.0ms8000×body80valid
7.0ms252×body80invalid

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