Details

Time bar (total: 2.4s)

sample21.0ms

Algorithm
intervals
Results
9.0ms335×body80valid

simplify106.0ms

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

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: 7.4b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (/ (* y (- z x)) t))
8.4b
(/ (* 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
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-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)

series120.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(* y (- z x))
39.0ms
(+ x (/ (* y (- z x)) t))
46.0ms
(/ (* y (- z x)) t)

simplify41.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0290325
11223280
25001280

prune122.0ms

Filtered
70 candidates to 45 candidates (64.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New63770
Fresh000
Picked011
Done000
Total63871

Merged error: 0.0b

Counts
71 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (/ 1 (/ t (* y (- z x)))))
0.8b
(/ 1 (/ t (* y (- z x))))
8.2b
(/ t (* y (- z x)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
32×add-exp-log
31×*-un-lft-identity
30×add-sqr-sqrt
26×add-cube-cbrt
20×add-cbrt-cube
14×div-exp
12×associate-*r/
11×associate-/r/
10×associate-/r*
7×pow1 cbrt-undiv div-inv
6×flip3-- flip-- associate-/l* add-log-exp
5×associate-*r* prod-exp
3×rec-exp 1-exp associate-*l* cbrt-unprod
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in clear-num distribute-lft-out
1×+-commutative pow-flip flip3-+ pow-prod-down sum-log *-commutative flip-+ distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 126
Calls
4 calls:
6.0ms
(* y (- z x))
13.0ms
(+ x (/ 1 (/ t (* y (- z x)))))
9.0ms
(/ 1 (/ t (* y (- z x))))
6.0ms
(/ t (* y (- z x)))

series165.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* y (- z x))
34.0ms
(+ x (/ 1 (/ t (* y (- z x)))))
55.0ms
(/ 1 (/ t (* y (- z x))))
36.0ms
(/ t (* y (- z x)))

simplify55.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0447814
12087667
25001650

prune177.0ms

Filtered
138 candidates to 73 candidates (52.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1380138
Fresh066
Picked011
Done011
Total1388146

Merged error: 0.0b

Counts
146 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- z x))
0.0b
(+ x (/ y (/ t (- z x))))
8.1b
(/ 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
6×div-inv associate-/l*
5×flip3-- flip-- add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 151
Calls
3 calls:
6.0ms
(/ t (- z x))
19.0ms
(+ x (/ y (/ t (- z x))))
8.0ms
(/ y (/ t (- z x)))

series124.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ t (- z x))
34.0ms
(+ x (/ y (/ t (- z x))))
57.0ms
(/ y (/ t (- z x)))

simplify63.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05391150
123681110
250021107

prune305.0ms

Filtered
160 candidates to 119 candidates (74.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1573160
Fresh325
Picked011
Done112
Total1617168

Merged error: 0.0b

Counts
168 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ y t) (- z x)))
6.1b
(* (/ 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
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
2×frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×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))

series92.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ x (* (/ y t) (- z x)))
57.0ms
(* (/ y t) (- z x))

simplify37.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0315335
11214299
25002299

prune88.0ms

Filtered
63 candidates to 42 candidates (66.7%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New63063
Fresh044
Picked011
Done022
Total63770

Merged error: 0.0b

Counts
70 → 7

regimes179.0ms

Accuracy

63.1% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.1b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03221
13221

end0.0ms

sample583.0ms

Algorithm
intervals
Results
310.0ms10673×body80valid

Profiling

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