Details

Time bar (total: 3.9s)

analyze630.0ms

Algorithm
search

sample21.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
2.0ms61×body80invalid

simplify104.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1254
2454
3844
41254
51494
61704
72844
84914
98244
1013444
1121284
1233854
1350024

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.2b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (/ (* y (- z x)) t))
8.2b
(/ (* y (- z x)) t)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
add-cube-cbrt
pow1 associate-*r* add-log-exp
associate-*r/
times-frac associate-*l* associate-/r*
cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/
+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
6.0ms
(* y (- z x))
4.0ms
(+ x (/ (* y (- z x)) t))
7.0ms
(/ (* y (- z x)) t)

series31.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* y (- z x))
11.0ms
(+ x (/ (* y (- z x)) t))
12.0ms
(/ (* y (- z x)) t)

simplify41.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0290325
11223280
25001280

prune87.0ms

Filtered
45 candidates to 70 candidates (-55.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New63770
Fresh000
Picked011
Done000
Total63871

Merged error: 0.0b

Counts
71 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ t (- z x))))
0.0b
(/ t (- z x))
5.7b
(/ y (/ t (- z x)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
105×*-un-lft-identity
103×add-sqr-sqrt
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
div-inv associate-/l*
flip3-- flip-- add-log-exp
cbrt-undiv div-exp
pow1
frac-2neg clear-num
+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 151
Calls
3 calls:
19.0ms
(+ x (/ y (/ t (- z x))))
5.0ms
(/ t (- z x))
9.0ms
(/ y (/ t (- z x)))

series34.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+ x (/ y (/ t (- z x))))
7.0ms
(/ t (- z x))
16.0ms
(/ y (/ t (- z x)))

simplify61.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05391150
123681110
250021107

prune142.0ms

Filtered
119 candidates to 160 candidates (-34.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1591160
Fresh246
Picked011
Done011
Total1617168

Merged error: 0b

Counts
168 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ y t) (- z x)))
7.5b
(* (/ y t) (- z x))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
add-exp-log add-cbrt-cube
associate-*r*
pow1 distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
3.0ms
(+ x (* (/ y t) (- z x)))
9.0ms
(* (/ y t) (- z x))

series24.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(+ x (* (/ y t) (- z x)))
13.0ms
(* (/ y t) (- z x))

simplify36.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0315335
11214299
25002299

prune60.0ms

Filtered
41 candidates to 63 candidates (-53.7%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New63063
Fresh044
Picked011
Done022
Total63770

Merged error: 0b

Counts
70 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- z x) t)))
0.0b
(/ (- z x) t)
6.0b
(* y (/ (- z x) t))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
distribute-lft-out-- difference-of-squares
pow1 associate-/l* add-log-exp
associate-*l* associate-/r*
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
+-commutative flip3-- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 87
Calls
3 calls:
3.0ms
(+ x (* y (/ (- z x) t)))
6.0ms
(/ (- z x) t)
9.0ms
(* y (/ (- z x) t))

series31.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+ x (* y (/ (- z x) t)))
6.0ms
(/ (- z x) t)
14.0ms
(* y (/ (- z x) t))

simplify40.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0342498
11398465
25001453

prune67.0ms

Filtered
65 candidates to 96 candidates (-47.7%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New95196
Fresh123
Picked011
Done033
Total967103

Merged error: 0b

Counts
103 → 7

regimes352.0ms

Accuracy

0.8% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch815.0ms

Steps
ItersRangePoint
8
3.935767648328622e-159
4.616232047281112e-155
5.278153053064818e-158
5
6.308091098104467e-262
1.4530549265182058e-261
7.534631751009844e-262

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0238
1238

end0.0ms

analyze619.0ms

Algorithm
search

sample566.0ms

Algorithm
intervals
Results
254.0ms8000×body80valid
63.0ms2117×body80invalid

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