Details

Time bar (total: 5.6s)

sample17.0ms

Algorithm
intervals
Results
7.0ms269×body80valid

simplify80.0ms

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

prune8.0ms

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: 20.7b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
20.3b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
505×*-un-lft-identity
380×times-frac
295×add-sqr-sqrt
294×associate-*l*
211×add-cube-cbrt
147×associate-*r*
126×swap-sqr distribute-lft-out
63×distribute-lft-neg-in distribute-rgt-neg-in
42×*-commutative unswap-sqr
21×neg-mul-1
20×associate-/r*
19×associate-/l*
16×add-exp-log add-cbrt-cube
12×flip3-+ flip-+
9×pow1
8×frac-times associate-/r/
5×prod-exp cbrt-unprod
4×cbrt-undiv associate-*r/ div-exp associate-*l/
2×+-commutative distribute-rgt-in expm1-log1p-u distribute-lft-in log1p-expm1-u add-log-exp
1×distribute-lft-neg-out pow2 frac-2neg pow-plus distribute-frac-neg pow-prod-down clear-num pow-sqr pow-prod-up div-inv
Counts
2 → 492
Calls
2 calls:
8.0ms
(* (+ t1 u) (+ t1 u))
24.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series91.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(* (+ t1 u) (+ t1 u))
71.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify77.0ms

Algorithm
egg-herbie
Counts
498 → 498
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
015074781
150024610

prune633.0ms

Filtered
498 candidates to 211 candidates (42.4%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New48810498
Fresh000
Picked101
Done000
Total48910499

Merged error: 0.0b

Counts
499 → 10

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.0b
(/ t1 (+ t1 u))
1.4b
(* (- (/ t1 (+ t1 u))) (/ v (+ t1 u)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
169×*-un-lft-identity
110×distribute-neg-frac
100×frac-times
96×associate-/r*
95×add-sqr-sqrt
90×add-cube-cbrt
73×associate-/l*
61×times-frac
40×associate-*l*
39×distribute-lft-out
25×clear-num
24×frac-2neg
18×distribute-lft-neg-in distribute-rgt-neg-in associate-*r*
12×add-exp-log add-cbrt-cube
10×associate-*r/ associate-*l/ associate-/r/
5×pow1 flip3-+ flip-+ div-inv
3×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
2×prod-exp un-div-inv cbrt-unprod unswap-sqr
1×distribute-lft-neg-out neg-mul-1 pow-prod-down *-commutative
Counts
3 → 268
Calls
3 calls:
5.0ms
(/ v (+ t1 u))
5.0ms
(/ t1 (+ t1 u))
27.0ms
(* (- (/ t1 (+ t1 u))) (/ v (+ t1 u)))

series194.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ v (+ t1 u))
39.0ms
(/ t1 (+ t1 u))
127.0ms
(* (- (/ t1 (+ t1 u))) (/ v (+ t1 u)))

simplify43.0ms

Algorithm
egg-herbie
Counts
277 → 277
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010391894
150011788

prune452.0ms

Filtered
277 candidates to 164 candidates (59.2%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2716277
Fresh819
Picked101
Done000
Total2807287

Merged error: 0b

Counts
287 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t1 (+ t1 u))
0.8b
(/ (* (/ t1 (+ t1 u)) v) (- (+ t1 u)))
1.8b
(* (/ t1 (+ t1 u)) v)

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
530×times-frac
454×*-un-lft-identity
312×add-sqr-sqrt
252×associate-*l*
242×add-cube-cbrt
116×distribute-lft-neg-in distribute-rgt-neg-in
106×distribute-lft-out
42×associate-*r*
37×associate-/l*
32×associate-/r/
29×neg-mul-1
28×unswap-sqr
24×associate-/r*
20×associate-*l/
19×add-exp-log add-cbrt-cube
16×flip3-+ flip-+ div-inv
14×*-commutative
10×associate-/l/
6×cbrt-undiv div-exp
5×pow1
4×frac-2neg prod-exp clear-num cbrt-unprod
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×distribute-neg-frac
1×pow-prod-down
Counts
3 → 489
Calls
3 calls:
5.0ms
(/ t1 (+ t1 u))
23.0ms
(/ (* (/ t1 (+ t1 u)) v) (- (+ t1 u)))
9.0ms
(* (/ t1 (+ t1 u)) v)

series237.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ t1 (+ t1 u))
120.0ms
(/ (* (/ t1 (+ t1 u)) v) (- (+ t1 u)))
77.0ms
(* (/ t1 (+ t1 u)) v)

simplify79.0ms

Algorithm
egg-herbie
Counts
498 → 498
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
013695294
150015083

prune843.0ms

Filtered
498 candidates to 290 candidates (58.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New4962498
Fresh246
Picked011
Done000
Total4987505

Merged error: 0b

Counts
505 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ t1 u) t1)
0.8b
(/ (/ v (/ (+ t1 u) t1)) (- (+ t1 u)))
2.0b
(/ v (/ (+ t1 u) t1))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
1980×times-frac
1386×*-un-lft-identity
826×add-sqr-sqrt add-cube-cbrt
280×distribute-lft-out
260×distribute-lft-neg-in distribute-rgt-neg-in
170×associate-/r/
130×associate-/l*
89×associate-/r*
65×neg-mul-1
60×div-inv
52×associate-/l/
19×add-exp-log add-cbrt-cube
18×frac-2neg clear-num
16×flip3-+ flip-+
10×cbrt-undiv div-exp
3×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×distribute-neg-frac
Counts
3 → 1016
Calls
3 calls:
5.0ms
(/ (+ t1 u) t1)
34.0ms
(/ (/ v (/ (+ t1 u) t1)) (- (+ t1 u)))
9.0ms
(/ v (/ (+ t1 u) t1))

series111.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(/ (+ t1 u) t1)
58.0ms
(/ (/ v (/ (+ t1 u) t1)) (- (+ t1 u)))
30.0ms
(/ v (/ (+ t1 u) t1))

simplify167.0ms

Algorithm
egg-herbie
Counts
1025 → 1025
Iterations

Useful iterations: 1 (47.0ms)

IterNodesCost
0288013266
1500212841

prune1.7s

Filtered
1025 candidates to 567 candidates (55.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New102321025
Fresh235
Picked011
Done011
Total102571032

Merged error: 0b

Counts
1032 → 7

regimes74.0ms

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
0136
1146
2146

end0.0ms

sample398.0ms

Algorithm
intervals
Results
223.0ms8254×body80valid