Details

Time bar (total: 3.9s)

analyze893.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
16.4%83.4%0.2%9
21.4%78.4%0.2%10
25.9%73.3%0.8%11
28%70.2%1.9%12
39.6%55.8%4.6%13
43.9%50.4%5.8%14

sample21.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
2.0ms59×body80invalid

simplify111.0ms

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

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.2b

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))
4.7b
(/ (* y (- z x)) t)

rewrite21.0ms

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:
9.0ms
(* y (- z x))
4.0ms
(+ x (/ (* y (- z x)) t))
7.0ms
(/ (* y (- z x)) t)

series31.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(* y (- z x))
10.0ms
(+ x (/ (* y (- z x)) t))
11.0ms
(/ (* y (- z x)) t)

simplify63.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0290325
11223280
25001280

prune130.0ms

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: 0b

Counts
71 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(* (cbrt t) (cbrt t))
6.8b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
69×add-sqr-sqrt
45×*-un-lft-identity
40×times-frac associate-*r*
39×cbrt-prod
33×add-cube-cbrt
27×add-exp-log
18×add-cbrt-cube
13×pow1 associate-*l*
10×unswap-sqr
9×prod-exp cbrt-unprod
8×pow1/3
7×cbrt-undiv div-exp
6×swap-sqr distribute-lft-out-- difference-of-squares
4×add-log-exp
3×pow-prod-down
2×pow-sqr *-commutative pow-prod-up div-inv
1×pow2 frac-times pow-plus associate-*r/ associate-*l/
Counts
4 → 133
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
5.0ms
(* (cbrt t) (cbrt t))
18.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series90.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt t)
22.0ms
(cbrt t)
28.0ms
(* (cbrt t) (cbrt t))
18.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify83.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
05761099
13101977
25001901

prune129.0ms

Filtered
94 candidates to 145 candidates (-54.3%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1450145
Fresh066
Picked011
Done011
Total1458153

Merged error: 0b

Counts
153 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (/ 1 (/ t (* y (- z x)))))
0.6b
(/ 1 (/ t (* y (- z x))))
4.7b
(/ t (* y (- z x)))

rewrite35.0ms

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))
10.0ms
(+ x (/ 1 (/ t (* y (- z x)))))
8.0ms
(/ 1 (/ t (* y (- z x))))
6.0ms
(/ t (* y (- z x)))

series41.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* y (- z x))
11.0ms
(+ x (/ 1 (/ t (* y (- z x)))))
14.0ms
(/ 1 (/ t (* y (- z x))))
10.0ms
(/ t (* y (- z x)))

simplify59.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0447814
12087667
25001650

prune102.0ms

Filtered
74 candidates to 138 candidates (-86.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1371138
Fresh235
Picked011
Done112
Total1406146

Merged error: 0b

Counts
146 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1 (/ (/ t y) (- z x))))
0.6b
(/ 1 (/ (/ t y) (- z x)))
6.9b
(/ (/ t y) (- z x))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
772×times-frac
462×*-un-lft-identity
459×add-sqr-sqrt
327×add-cube-cbrt
76×associate-/r*
66×distribute-lft-out-- difference-of-squares
33×div-inv
29×add-exp-log
18×div-exp
17×add-cbrt-cube
16×associate-/l*
11×associate-/r/
9×cbrt-undiv
5×flip3-- flip-- add-log-exp
4×pow1
3×rec-exp 1-exp
2×frac-2neg clear-num distribute-lft-out
1×+-commutative pow-flip flip3-+ sum-log flip-+ associate-/l/ inv-pow
Counts
3 → 425
Calls
3 calls:
52.0ms
(+ x (/ 1 (/ (/ t y) (- z x))))
17.0ms
(/ 1 (/ (/ t y) (- z x)))
8.0ms
(/ (/ t y) (- z x))

series39.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+ x (/ 1 (/ (/ t y) (- z x))))
18.0ms
(/ 1 (/ (/ t y) (- z x)))
10.0ms
(/ (/ t y) (- z x))

simplify73.0ms

Algorithm
egg-herbie
Counts
434 → 434
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
014124507
150013661

prune202.0ms

Filtered
203 candidates to 434 candidates (-113.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New4340434
Fresh033
Picked011
Done022
Total4346440

Merged error: 0b

Counts
440 → 6

regimes330.0ms

Accuracy

56.9% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02717
12717

end0.0ms

analyze631.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
16.4%83.4%0.2%9
21.4%78.4%0.2%10
25.9%73.3%0.8%11
28%70.2%1.9%12
39.6%55.8%4.6%13
43.9%50.4%5.8%14

sample616.0ms

Algorithm
intervals
Results
276.0ms8000×body80valid
72.0ms2120×body80invalid

Profiling

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