Details

Time bar (total: 4.8s)

sample16.0ms

Algorithm
intervals
Results
7.0ms268×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: 17.3b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
17.0b
(/ (* (- 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)))

series90.0ms

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

simplify59.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0381490
12039406
25001402

prune129.0ms

Filtered
76 candidates to 41 candidates (53.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New70676
Fresh000
Picked011
Done000
Total70777

Merged error: 0.0b

Counts
77 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))
0.8b
(* (/ (- 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:
5.0ms
(/ v (+ t1 u))
7.0ms
(/ (- t1) (+ t1 u))
26.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series191.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ v (+ t1 u))
41.0ms
(/ (- t1) (+ t1 u))
125.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify67.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05931285
127001201
250021197

prune388.0ms

Filtered
201 candidates to 133 candidates (66.2%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1974201
Fresh235
Picked101
Done101
Total2017208

Merged error: 0b

Counts
208 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ t1 u) v)
0.0b
(/ (- t1) (+ t1 u))
0.6b
(/ 1 (/ (+ t1 u) v))
0.8b
(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))

rewrite90.0ms

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:
5.0ms
(/ (+ t1 u) v)
7.0ms
(/ (- t1) (+ t1 u))
8.0ms
(/ 1 (/ (+ t1 u) v))
53.0ms
(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))

series250.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ (+ t1 u) v)
45.0ms
(/ (- t1) (+ t1 u))
59.0ms
(/ 1 (/ (+ t1 u) v))
127.0ms
(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))

simplify57.0ms

Algorithm
egg-herbie
Counts
346 → 346
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010432586
150022291

prune634.0ms

Filtered
346 candidates to 214 candidates (61.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New3433346
Fresh426
Picked101
Done000
Total3485353

Merged error: 0b

Counts
353 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ t1 u) v)
0.0b
(/ (- t1) (+ t1 u))
0.7b
(/ (/ (- t1) (+ t1 u)) (/ (+ t1 u) v))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
2032×times-frac
1457×*-un-lft-identity
805×add-sqr-sqrt add-cube-cbrt
326×distribute-lft-out
219×distribute-lft-neg-in distribute-rgt-neg-in
73×neg-mul-1
67×div-inv
60×associate-/l*
37×associate-/r/
23×associate-/r*
19×add-exp-log flip3-+ add-cbrt-cube flip-+
10×cbrt-undiv div-exp
3×pow1 frac-2neg div-sub distribute-frac-neg clear-num associate-/l/ add-log-exp
2×neg-sub0
Counts
3 → 923
Calls
3 calls:
6.0ms
(/ (+ t1 u) v)
7.0ms
(/ (- t1) (+ t1 u))
35.0ms
(/ (/ (- t1) (+ t1 u)) (/ (+ t1 u) v))

series196.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ (+ t1 u) v)
41.0ms
(/ (- t1) (+ t1 u))
131.0ms
(/ (/ (- t1) (+ t1 u)) (/ (+ t1 u) v))

simplify174.0ms

Algorithm
egg-herbie
Counts
932 → 932
Iterations

Useful iterations: 1 (54.0ms)

IterNodesCost
0293912752
1500212490

prune1.7s

Filtered
932 candidates to 473 candidates (50.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New9320932
Fresh044
Picked011
Done000
Total9325937

Merged error: 0b

Counts
937 → 5

regimes63.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156
1176
2176

end0.0ms

sample388.0ms

Algorithm
intervals
Results
215.0ms8265×body80valid