Details

Time bar (total: 3.8s)

analyze550.0ms

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%92.8%0.2%8
19.1%80.7%0.2%9
29.8%70%0.2%10
31.3%68.5%0.2%11
42.3%57.2%0.6%12
53.3%45.5%1.2%13
59.2%39.3%1.5%14

sample41.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify162.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (160.0ms)

IterNodesCost
054879

prune13.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.1b
(* x (/ (- y z) (- t z)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
7.0ms
(/ (- y z) (- t z))
13.0ms
(* x (/ (- y z) (- t z)))

series27.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (- y z) (- t z))
18.0ms
(* x (/ (- y z) (- t z)))

simplify47.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
050241163

prune134.0ms

Filtered
70 candidates to 108 candidates (-54.3%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New999108
Fresh011
Picked011
Done000
Total9911110

Merged error: 0.0b

Counts
110 → 11

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t z) (- y z))
0.2b
(/ 1 (/ (- t z) (- y z)))
2.1b
(* x (/ 1 (/ (- t z) (- y z))))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac
335×add-sqr-sqrt
323×*-un-lft-identity
157×add-cube-cbrt
98×associate-*r*
82×distribute-lft-out-- difference-of-squares
36×associate-/r*
35×add-exp-log
19×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
9×flip3-- flip--
8×associate-/l*
7×cbrt-undiv prod-exp
6×pow1
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/l/
1×pow-flip div-sub associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
3 → 327
Calls
3 calls:
7.0ms
(/ (- t z) (- y z))
13.0ms
(/ 1 (/ (- t z) (- y z)))
28.0ms
(* x (/ 1 (/ (- t z) (- y z))))

series54.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ (- t z) (- y z))
21.0ms
(/ 1 (/ (- t z) (- y z)))
24.0ms
(* x (/ 1 (/ (- t z) (- y z))))

simplify53.0ms

Algorithm
egg-herbie
Counts
336 → 336
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
050444378

prune286.0ms

Filtered
191 candidates to 336 candidates (-75.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New3342336
Fresh549
Picked011
Done011
Total3398347

Merged error: 0b

Counts
347 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.0b
(/ x (/ (- t z) (- y z)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
7.0ms
(/ (- t z) (- y z))
11.0ms
(/ x (/ (- t z) (- y z)))

series37.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (- t z) (- y z))
28.0ms
(/ x (/ (- t z) (- y z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
050783157

prune170.0ms

Filtered
134 candidates to 200 candidates (-49.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New2000200
Fresh055
Picked011
Done022
Total2008208

Merged error: 0b

Counts
208 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(* x (* (cbrt (/ (- y z) (- t z))) (cbrt (/ (- y z) (- t z)))))
4.0b
(cbrt (/ (- y z) (- t z)))
4.0b
(cbrt (/ (- y z) (- t z)))
4.0b
(cbrt (/ (- y z) (- t z)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
99×add-sqr-sqrt
98×*-un-lft-identity
93×cbrt-prod
75×times-frac
38×add-cube-cbrt
30×distribute-lft-out-- difference-of-squares
9×pow1 add-exp-log
7×cbrt-div add-cbrt-cube
6×associate-/r/
4×associate-*r/ add-log-exp
3×flip3-- pow1/3 associate-*l* pow-prod-down prod-exp flip-- cbrt-unprod div-inv
1×frac-times associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 142
Calls
4 calls:
20.0ms
(* x (* (cbrt (/ (- y z) (- t z))) (cbrt (/ (- y z) (- t z)))))
7.0ms
(cbrt (/ (- y z) (- t z)))
7.0ms
(cbrt (/ (- y z) (- t z)))
7.0ms
(cbrt (/ (- y z) (- t z)))

series229.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* x (* (cbrt (/ (- y z) (- t z))) (cbrt (/ (- y z) (- t z)))))
55.0ms
(cbrt (/ (- y z) (- t z)))
57.0ms
(cbrt (/ (- y z) (- t z)))
59.0ms
(cbrt (/ (- y z) (- t z)))

simplify73.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
056552374

prune145.0ms

Filtered
108 candidates to 154 candidates (-42.6%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1540154
Fresh044
Picked011
Done033
Total1548162

Merged error: 0b

Counts
162 → 8

regimes456.0ms

Accuracy

53.8% (1.0b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 2.3b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03251
13251

end0.0ms

sample1.1s

Algorithm
intervals
Results
231.0ms8000×body80valid

Profiling

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