Details

Time bar (total: 4.3s)

analyze641.0ms

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
7.8%92%0.2%8
16.4%83.4%0.2%9
23.8%76%0.2%10
25.1%74.7%0.2%11
38.1%59.4%2.5%12
41.8%55.3%2.9%13
46.5%50.3%3.1%14

sample40.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify198.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (196.0ms)

IterNodesCost
0185211
1185211

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 3.1b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
3.0b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
45×*-un-lft-identity
31×times-frac
15×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
10×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×sub-neg flip3-- associate-*r/ associate-*l* flip-- associate-/l*
2×associate-/r/ frac-sub
1×cbrt-undiv distribute-rgt-in frac-2neg distribute-lft-in diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 86
Calls
3 calls:
5.0ms
(/ t (- 1.0 z))
19.0ms
(- (/ y z) (/ t (- 1.0 z)))
22.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series31.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ t (- 1.0 z))
8.0ms
(- (/ y z) (/ t (- 1.0 z)))
17.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify50.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
051531120

prune152.0ms

Filtered
71 candidates to 95 candidates (-33.8%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New851095
Fresh000
Picked101
Done000
Total861096

Merged error: 0.2b

Counts
96 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- 1.0 z))
0.0b
(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.1b
(* t (/ 1 (- 1.0 z)))
3.0b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
26×add-cube-cbrt
24×associate-*r*
19×add-exp-log
13×add-cbrt-cube
9×pow1
7×associate-*r/ distribute-lft-out-- difference-of-squares
6×associate-*l* add-log-exp
5×prod-exp associate-/r*
4×flip3-- div-exp associate-/r/ frac-sub flip-- unswap-sqr
3×sub-neg un-div-inv cbrt-unprod associate-/l*
2×cbrt-undiv rec-exp 1-exp pow-prod-down *-commutative div-inv
1×distribute-rgt-in pow-flip frac-2neg distribute-lft-in diff-log clear-num inv-pow
Counts
4 → 122
Calls
4 calls:
5.0ms
(/ 1 (- 1.0 z))
6.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
10.0ms
(* t (/ 1 (- 1.0 z)))
8.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series33.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(/ 1 (- 1.0 z))
8.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
5.0ms
(* t (/ 1 (- 1.0 z)))
18.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify53.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
054241298

prune173.0ms

Filtered
89 candidates to 134 candidates (-50.6%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1340134
Fresh099
Picked011
Done000
Total13410144

Merged error: 0.2b

Counts
144 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 z) t)
0.0b
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
0.4b
(/ 1 (/ (- 1.0 z) t))
3.0b
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
172×add-sqr-sqrt
170×times-frac
126×*-un-lft-identity
72×add-cube-cbrt
36×difference-of-squares
22×associate-/r* distribute-lft-out--
19×add-exp-log
16×associate-*r*
13×add-cbrt-cube
8×div-exp div-inv associate-/l*
7×pow1
6×add-log-exp
4×cbrt-undiv
3×sub-neg flip3-- associate-*r/ associate-*l* flip--
2×rec-exp frac-2neg 1-exp clear-num frac-sub associate-/l/
1×distribute-rgt-in pow-flip distribute-lft-in diff-log div-sub pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod inv-pow unswap-sqr
Counts
4 → 199
Calls
4 calls:
6.0ms
(/ (- 1.0 z) t)
42.0ms
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
8.0ms
(/ 1 (/ (- 1.0 z) t))
48.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

series33.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ (- 1.0 z) t)
8.0ms
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
5.0ms
(/ 1 (/ (- 1.0 z) t))
15.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

simplify59.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
050642568

prune251.0ms

Filtered
134 candidates to 211 candidates (-57.5%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New2083211
Fresh178
Picked101
Done101
Total21110221

Merged error: 0.2b

Counts
221 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ y z) (/ 1 (- (/ 1.0 t) (/ z t))))
0.0b
(- (/ 1.0 t) (/ z t))
0.4b
(/ 1 (- (/ 1.0 t) (/ z t)))
3.0b
(* x (- (/ y z) (/ 1 (- (/ 1.0 t) (/ z t)))))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
129×add-sqr-sqrt
108×times-frac
101×*-un-lft-identity
33×add-cube-cbrt
32×difference-of-squares
30×distribute-lft-out--
13×associate-*r* div-inv
12×associate-/r*
10×add-exp-log
8×add-cbrt-cube add-log-exp
7×pow1
5×distribute-rgt-out--
4×sub-neg flip3-- associate-/r/ frac-sub flip--
3×associate-*r/ associate-*l* associate-/l*
2×diff-log div-exp sub-div
1×cbrt-undiv distribute-rgt-in rec-exp pow-flip frac-2neg distribute-lft-in 1-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod inv-pow unswap-sqr
Counts
4 → 148
Calls
4 calls:
42.0ms
(- (/ y z) (/ 1 (- (/ 1.0 t) (/ z t))))
13.0ms
(- (/ 1.0 t) (/ z t))
15.0ms
(/ 1 (- (/ 1.0 t) (/ z t)))
46.0ms
(* x (- (/ y z) (/ 1 (- (/ 1.0 t) (/ z t)))))

series41.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(- (/ y z) (/ 1 (- (/ 1.0 t) (/ z t))))
7.0ms
(- (/ 1.0 t) (/ z t))
5.0ms
(/ 1 (- (/ 1.0 t) (/ z t)))
19.0ms
(* x (- (/ y z) (/ 1 (- (/ 1.0 t) (/ z t)))))

simplify66.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
052402353

prune170.0ms

Filtered
111 candidates to 160 candidates (-44.1%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1591160
Fresh099
Picked101
Done000
Total16010170

Merged error: 0.2b

Counts
170 → 10

regimes635.0ms

Accuracy

17.7% (3.1b remaining)

Error of 4.0b against oracle of 0.9b and baseline of 4.6b

bsearch47.0ms

Steps
ItersRangePoint
7
1.7284163798995565e-183
3.307451060140742e-182
1.530035490509503e-182
6
-5.414692553780229e-148
-1.2940876376530293e-148
-4.146166835886616e-148

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07741
17741

end0.0ms

sample1.2s

Algorithm
intervals
Results
252.0ms8000×body80valid

Profiling

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