Details

Time bar (total: 2.7s)

analyze530.0ms

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

sample19.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms25×body80invalid

simplify170.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (168.0ms)

IterNodesCost
054879

prune11.0ms

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 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
1.3b
(* x (/ (- y z) (- t z)))

rewrite25.0ms

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
add-exp-log add-cbrt-cube
associate-/r* associate-/l*
pow1 associate-/r/
flip3-- associate-*l* flip--
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
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)))

series28.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (- y z) (- t z))
19.0ms
(* x (/ (- y z) (- t z)))

simplify46.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
050241163

prune110.0ms

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

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1017108
Fresh011
Picked011
Done000
Total1019110

Merged error: 0.0b

Counts
110 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t z) (- y z))
0.2b
(/ 1 (/ (- t z) (- y z)))
1.3b
(* x (/ 1 (/ (- t z) (- y z))))

rewrite72.0ms

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
flip3-- flip--
associate-/l*
cbrt-undiv prod-exp
pow1
unswap-sqr
rec-exp 1-exp
associate-*l* cbrt-unprod add-log-exp
frac-2neg clear-num associate-/l/
pow-flip div-sub associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
3 → 327
Calls
3 calls:
11.0ms
(/ (- t z) (- y z))
12.0ms
(/ 1 (/ (- t z) (- y z)))
30.0ms
(* x (/ 1 (/ (- t z) (- y z))))

series56.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(/ (- t z) (- y z))
17.0ms
(/ 1 (/ (- t z) (- y z)))
26.0ms
(* x (/ 1 (/ (- t z) (- y z))))

simplify55.0ms

Algorithm
egg-herbie
Counts
336 → 336
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
050444378

prune248.0ms

Filtered
192 candidates to 336 candidates (-75.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3342336
Fresh437
Picked101
Done011
Total3396345

Merged error: 0.0b

Counts
345 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
1.1b
(/ x (/ (- t z) (- y z)))

rewrite32.0ms

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/
add-exp-log add-cbrt-cube
associate-/l*
flip3-- flip-- div-inv
cbrt-undiv div-exp
pow1 frac-2neg clear-num associate-/l/ add-log-exp
div-sub
Counts
2 → 194
Calls
2 calls:
8.0ms
(/ (- t z) (- y z))
14.0ms
(/ x (/ (- t z) (- y z)))

series34.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (- t z) (- y z))
25.0ms
(/ x (/ (- t z) (- y z)))

simplify59.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
050783157

prune144.0ms

Filtered
133 candidates to 200 candidates (-50.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1991200
Fresh044
Picked011
Done011
Total1997206

Merged error: 0b

Counts
206 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(* (* (cbrt x) (cbrt x)) (* (/ (- y z) (- t z)) (cbrt x)))
0.8b
(* (/ (- y z) (- t z)) (cbrt x))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
39×*-un-lft-identity
32×associate-*l*
30×add-exp-log
27×times-frac
19×add-cube-cbrt
18×pow1 add-cbrt-cube
15×prod-exp cbrt-unprod
11×cbrt-prod
10×distribute-lft-out-- difference-of-squares
pow-prod-down
associate-*r*
add-log-exp unswap-sqr
cbrt-undiv div-exp
pow1/3 associate-*l/ associate-/r/ *-commutative
flip3-- associate-*r/ flip-- div-inv
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
17.0ms
(* (* (cbrt x) (cbrt x)) (* (/ (- y z) (- t z)) (cbrt x)))
14.0ms
(* (/ (- y z) (- t z)) (cbrt x))

series101.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
24.0ms
(cbrt x)
19.0ms
(* (* (cbrt x) (cbrt x)) (* (/ (- y z) (- t z)) (cbrt x)))
37.0ms
(* (/ (- y z) (- t z)) (cbrt x))

simplify49.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
054301040

prune78.0ms

Filtered
72 candidates to 116 candidates (-61.1%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1160116
Fresh044
Picked011
Done022
Total1167123

Merged error: 0b

Counts
123 → 7

regimes255.0ms

Accuracy

0% (2.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0209
1209

end0.0ms

sample501.0ms

Algorithm
intervals
Results
258.0ms8000×body80valid
21.0ms607×body80invalid

Profiling

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