Details

Time bar (total: 3.1s)

analyze655.0ms

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

sample28.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
2.0ms76×body80invalid

simplify126.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (124.0ms)

IterNodesCost
015519
115519

prune12.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z x)) t))
0.0b
(* y (- z x))
5.0b
(/ (* y (- z x)) t)

rewrite18.0ms

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 sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in 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 → 59
Calls
3 calls:
4.0ms
(+ x (/ (* y (- z x)) t))
6.0ms
(* y (- z x))
6.0ms
(/ (* y (- z x)) t)

series31.0ms

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

simplify37.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
05371574

prune95.0ms

Filtered
45 candidates to 68 candidates (-51.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New63568
Fresh011
Picked011
Done000
Total63770

Merged error: 0.0b

Counts
70 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ t (- z x))))
0.0b
(/ t (- z x))
5.1b
(/ y (/ t (- z x)))

rewrite41.0ms

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:
18.0ms
(+ x (/ y (/ t (- z x))))
5.0ms
(/ t (- z x))
11.0ms
(/ y (/ t (- z x)))

series29.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(+ x (/ y (/ t (- z x))))
7.0ms
(/ t (- z x))
12.0ms
(/ y (/ t (- z x)))

simplify54.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
050002025

prune171.0ms

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

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1582160
Fresh145
Picked011
Done011
Total1598167

Merged error: 0b

Counts
167 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (/ y t) (/ 1 (- z x))))
0.0b
(/ 1 (- z x))
7.5b
(/ (/ y t) (/ 1 (- z x)))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
696×times-frac
387×*-un-lft-identity
385×add-sqr-sqrt
293×add-cube-cbrt
46×distribute-lft-out-- difference-of-squares
38×div-inv
31×associate-/r/
29×add-exp-log
26×associate-/r*
18×div-exp
17×add-cbrt-cube
16×associate-/l*
15×flip3-- flip--
9×cbrt-undiv
5×add-log-exp
4×pow1
3×rec-exp 1-exp
2×frac-2neg clear-num
1×+-commutative pow-flip flip3-+ sum-log flip-+ associate-/l/ distribute-lft-out inv-pow
Counts
3 → 384
Calls
3 calls:
58.0ms
(+ x (/ (/ y t) (/ 1 (- z x))))
5.0ms
(/ 1 (- z x))
14.0ms
(/ (/ y t) (/ 1 (- z x)))

series44.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(+ x (/ (/ y t) (/ 1 (- z x))))
7.0ms
(/ 1 (- z x))
18.0ms
(/ (/ y t) (/ 1 (- z x)))

simplify70.0ms

Algorithm
egg-herbie
Counts
393 → 393
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
053366740

prune373.0ms

Filtered
214 candidates to 393 candidates (-83.6%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New3930393
Fresh055
Picked011
Done022
Total3938401

Merged error: 0b

Counts
401 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* y (- z x)) (/ 1 t)))
0.0b
(* y (- z x))
5.1b
(* (* y (- z x)) (/ 1 t))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
18×associate-*r*
17×add-cbrt-cube
16×add-sqr-sqrt
14×*-un-lft-identity
13×prod-exp
12×add-cube-cbrt
10×pow1
9×times-frac
7×associate-*r/ cbrt-unprod
5×add-log-exp
4×div-exp associate-*l* pow-prod-down
3×flip3-- flip--
2×cbrt-undiv frac-times sub-neg rec-exp 1-exp associate-*l/ *-commutative
1×+-commutative distribute-rgt-in distribute-lft-in flip3-+ sum-log un-div-inv flip-+ div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 77
Calls
3 calls:
3.0ms
(+ x (* (* y (- z x)) (/ 1 t)))
6.0ms
(* y (- z x))
9.0ms
(* (* y (- z x)) (/ 1 t))

series30.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(+ x (* (* y (- z x)) (/ 1 t)))
7.0ms
(* y (- z x))
13.0ms
(* (* y (- z x)) (/ 1 t))

simplify49.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05004745

prune73.0ms

Filtered
50 candidates to 86 candidates (-72.0%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New86086
Fresh044
Picked011
Done033
Total86894

Merged error: 0b

Counts
94 → 8

regimes401.0ms

Accuracy

23.2% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 2.2b

bsearch35.0ms

Steps
ItersRangePoint
7
3.1051258473649045e+135
5.743484739222629e+136
3.909569280792412e+135
8
-1.3633659364340036e-94
-5.333158659035427e-99
-8.014202072949017e-97

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08837
18837

end0.0ms

sample608.0ms

Algorithm
intervals
Results
263.0ms8000×body80valid
71.0ms2132×body80invalid

Profiling

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