Details

Time bar (total: 5.0s)

sample23.0ms

Algorithm
intervals
Results
9.0ms264×body80valid

simplify73.0ms

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

prune4.0ms

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: 16.3b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

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))
16.0ms
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

series103.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(* (+ t1 u) (+ t1 u))
87.0ms
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

simplify58.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0381490
12039406
25001402

prune148.0ms

Filtered
76 candidates to 41 candidates (46.1%)
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
(/ (neg t1) (+ t1 u))
0.0b
(/ v (+ t1 u))
1.3b
(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite46.0ms

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:
6.0ms
(/ (neg t1) (+ t1 u))
5.0ms
(/ v (+ t1 u))
27.0ms
(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

series228.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ (neg t1) (+ t1 u))
27.0ms
(/ v (+ t1 u))
148.0ms
(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

simplify60.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05931281
126921197
250021197

prune824.0ms

Filtered
201 candidates to 134 candidates (33.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1965201
Fresh123
Picked011
Done000
Total1978205

Merged error: 0.0b

Counts
205 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ v (+ t1 u))
0.0b
(/ 1 (+ t1 u))
0.6b
(* (* (neg t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
5.8b
(* (neg t1) (/ v (+ t1 u)))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
69×*-un-lft-identity
54×add-exp-log
49×times-frac
46×add-sqr-sqrt
41×add-cube-cbrt
36×associate-*r*
34×add-cbrt-cube
22×prod-exp
14×div-exp distribute-lft-out
12×pow1 cbrt-unprod
11×associate-*l*
8×cbrt-undiv associate-/r* associate-/r/
6×associate-/l*
4×rec-exp flip3-+ 1-exp associate-*r/ pow-prod-down flip-+ div-inv add-log-exp
3×distribute-lft-neg-out distribute-lft-neg-in distribute-rgt-neg-in
2×frac-2neg clear-num *-commutative unswap-sqr
1×frac-times neg-mul-1 pow-flip associate-*l/ un-div-inv inv-pow
Counts
4 → 167
Calls
4 calls:
5.0ms
(/ v (+ t1 u))
5.0ms
(/ 1 (+ t1 u))
14.0ms
(* (* (neg t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
11.0ms
(* (neg t1) (/ v (+ t1 u)))

series222.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ v (+ t1 u))
44.0ms
(/ 1 (+ t1 u))
88.0ms
(* (* (neg t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
61.0ms
(* (neg t1) (/ v (+ t1 u)))

simplify77.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
05461033
13346882
25001847

prune596.0ms

Filtered
179 candidates to 102 candidates (43.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1772179
Fresh246
Picked011
Done011
Total1798187

Merged error: 0b

Counts
187 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (+ t1 u))
0.7b
(cbrt (+ t1 u))
0.7b
(cbrt (+ t1 u))
0.7b
(* (neg t1) (/ (* (cbrt v) (cbrt v)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
18×cbrt-div
17×*-un-lft-identity
14×add-sqr-sqrt add-cbrt-cube
13×associate-*r*
12×cbrt-prod
11×add-cube-cbrt
10×associate-*l*
9×flip3-+ prod-exp cbrt-unprod flip-+
8×associate-/r/
6×pow1
4×cbrt-undiv frac-times div-exp add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in pow1/3 associate-*r/ distribute-lft-out
2×times-frac associate-*l/ unswap-sqr
1×distribute-lft-neg-out neg-mul-1 pow-prod-down *-commutative div-inv
Counts
4 → 88
Calls
4 calls:
3.0ms
(cbrt (+ t1 u))
3.0ms
(cbrt (+ t1 u))
3.0ms
(cbrt (+ t1 u))
18.0ms
(* (neg t1) (/ (* (cbrt v) (cbrt v)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))))

series655.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(cbrt (+ t1 u))
153.0ms
(cbrt (+ t1 u))
158.0ms
(cbrt (+ t1 u))
187.0ms
(* (neg t1) (/ (* (cbrt v) (cbrt v)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))))

simplify67.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0574939
12593833
25001809

prune843.0ms

Filtered
100 candidates to 78 candidates (22.0%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1000100
Fresh055
Picked011
Done022
Total1008108

Merged error: 0b

Counts
108 → 8

regimes213.0ms

Accuracy

0% (1.4b 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
0177
1257
2317
3337
4337

end0.0ms

sample546.0ms

Algorithm
intervals
Results
251.0ms8263×body80valid

Profiling

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