Details

Time bar (total: 3.6s)

sample17.0ms

Algorithm
intervals
Results
8.0ms264×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

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: 18.3b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
18.0b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite22.0ms

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))
11.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series89.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(* (+ t1 u) (+ t1 u))
75.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify61.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0381490
12039406
25001402

prune116.0ms

Filtered
76 candidates to 41 candidates (53.9%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New71576
Fresh000
Picked101
Done000
Total72577

Merged error: 0.0b

Counts
77 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t1) (+ t1 u))
0.0b
(/ v (+ t1 u))
1.0b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite48.0ms

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:
7.0ms
(/ (- t1) (+ t1 u))
9.0ms
(/ v (+ t1 u))
24.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series186.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ (- t1) (+ t1 u))
23.0ms
(/ v (+ t1 u))
119.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify63.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05931285
127001201
250021197

prune306.0ms

Filtered
201 candidates to 134 candidates (66.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1974201
Fresh134
Picked011
Done000
Total1988206

Merged error: 0b

Counts
206 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- t1)) (cbrt (- t1)))
0.6b
(cbrt (- t1))
0.6b
(cbrt (- t1))
0.6b
(cbrt (- t1))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
78×cbrt-prod
37×add-sqr-sqrt
33×*-un-lft-identity
29×add-cube-cbrt
23×distribute-rgt-neg-in
21×distribute-lft-neg-in
15×swap-sqr
13×associate-*r* associate-*l*
11×pow1
9×pow1/3
7×neg-mul-1
6×add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 117
Calls
4 calls:
13.0ms
(* (cbrt (- t1)) (cbrt (- t1)))
2.0ms
(cbrt (- t1))
2.0ms
(cbrt (- t1))
2.0ms
(cbrt (- t1))

series781.0ms

Counts
4 → 12
Calls
4 calls:
221.0ms
(* (cbrt (- t1)) (cbrt (- t1)))
190.0ms
(cbrt (- t1))
186.0ms
(cbrt (- t1))
184.0ms
(cbrt (- t1))

simplify87.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 3 (78.0ms)

IterNodesCost
0150696
1547655
22885603
35002581

prune334.0ms

Filtered
129 candidates to 96 candidates (74.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1290129
Fresh066
Picked011
Done011
Total1298137

Merged error: 0b

Counts
137 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- t1) (+ t1 u))
0.0b
(/ (+ t1 u) v)
0.2b
(/ 1 (/ (+ t1 u) v))
1.0b
(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
289×times-frac
248×*-un-lft-identity
185×add-sqr-sqrt
152×add-cube-cbrt
64×add-exp-log
53×associate-*r*
46×associate-*l* distribute-lft-out
34×add-cbrt-cube
30×div-exp
27×distribute-lft-neg-in distribute-rgt-neg-in
23×associate-/r*
17×associate-/l*
14×cbrt-undiv prod-exp
12×div-inv
10×unswap-sqr
9×neg-mul-1
7×pow1
6×rec-exp 1-exp associate-/r/ cbrt-unprod
4×add-log-exp
3×frac-2neg flip3-+ clear-num flip-+
2×distribute-frac-neg associate-/l/
1×distribute-lft-neg-out neg-sub0 frac-times pow-flip div-sub associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative inv-pow
Counts
4 → 334
Calls
4 calls:
7.0ms
(/ (- t1) (+ t1 u))
5.0ms
(/ (+ t1 u) v)
8.0ms
(/ 1 (/ (+ t1 u) v))
50.0ms
(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))

series249.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ (- t1) (+ t1 u))
23.0ms
(/ (+ t1 u) v)
58.0ms
(/ 1 (/ (+ t1 u) v))
127.0ms
(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))

simplify59.0ms

Algorithm
egg-herbie
Counts
346 → 346
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
010432586
150022291

prune488.0ms

Filtered
346 candidates to 214 candidates (61.8%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New3460346
Fresh055
Picked011
Done022
Total3468354

Merged error: 0b

Counts
354 → 8

regimes89.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01720
11720

end0.0ms

sample397.0ms

Algorithm
intervals
Results
224.0ms8249×body80valid

Profiling

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