Details

Time bar (total: 3.8s)

sample16.0ms

Algorithm
intervals
Results
7.0ms268×body80valid

simplify78.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0256
1676
21456
32416
43016
53556
63966
74446
85296
97446
1022186
1150016

prune6.0ms

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)))

rewrite23.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 74
Calls
2 calls:
9.0ms
(* (+ t1 u) (+ t1 u))
12.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series86.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(* (+ t1 u) (+ t1 u))
72.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify60.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0390509
12114426
25002422

prune137.0ms

Filtered
80 candidates to 45 candidates (56.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New74680
Fresh000
Picked011
Done000
Total74781

Merged error: 0.0b

Counts
81 → 7

localize10.0ms

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)))

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×expm1-log1p-u log1p-expm1-u 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 → 198
Calls
3 calls:
5.0ms
(/ v (+ t1 u))
7.0ms
(/ (- t1) (+ t1 u))
26.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series184.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ v (+ t1 u))
39.0ms
(/ (- t1) (+ t1 u))
121.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify69.0ms

Algorithm
egg-herbie
Counts
207 → 207
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
06021313
127281228
250021224

prune397.0ms

Filtered
207 candidates to 139 candidates (67.1%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2034207
Fresh235
Picked101
Done101
Total2077214

Merged error: 0b

Counts
214 → 7

localize9.0ms

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)))

rewrite97.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 342
Calls
4 calls:
6.0ms
(/ (+ t1 u) v)
7.0ms
(/ (- t1) (+ t1 u))
8.0ms
(/ 1 (/ (+ t1 u) v))
54.0ms
(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))

series238.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ (+ t1 u) v)
39.0ms
(/ (- t1) (+ t1 u))
62.0ms
(/ 1 (/ (+ t1 u) v))
118.0ms
(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))

simplify60.0ms

Algorithm
egg-herbie
Counts
354 → 354
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
010542624
150022327

prune658.0ms

Filtered
354 candidates to 222 candidates (62.7%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New3513354
Fresh426
Picked101
Done000
Total3565361

Merged error: 0b

Counts
361 → 5

localize8.0ms

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))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
744×times-frac
541×*-un-lft-identity
309×add-sqr-sqrt add-cube-cbrt
116×distribute-lft-out
39×div-inv
37×associate-/r/
25×associate-/l*
23×associate-/r*
19×add-exp-log flip3-+ add-cbrt-cube flip-+
10×cbrt-undiv div-exp
3×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
3 → 414
Calls
3 calls:
6.0ms
(/ (+ t1 u) v)
5.0ms
(/ t1 (+ t1 u))
17.0ms
(/ (/ t1 (+ t1 u)) (/ (+ t1 u) v))

series179.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(/ (+ t1 u) v)
43.0ms
(/ t1 (+ t1 u))
117.0ms
(/ (/ t1 (+ t1 u)) (/ (+ t1 u) v))

simplify86.0ms

Algorithm
egg-herbie
Counts
423 → 423
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
015144837
150024637

prune781.0ms

Filtered
423 candidates to 238 candidates (56.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New4230423
Fresh044
Picked011
Done000
Total4235428

Merged error: 0b

Counts
428 → 5

regimes65.0ms

Accuracy

0% (1.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0166
1186
2206
3206

end0.0ms

sample395.0ms

Algorithm
intervals
Results
226.0ms8265×body80valid