Details

Time bar (total: 3.0s)

analyze566.0ms

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

sample20.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
0.0ms12×body80invalid

simplify168.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (166.0ms)

IterNodesCost
054879

prune10.0ms

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))
2.7b
(* 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))
12.0ms
(* x (/ (- y z) (- t z)))

series28.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(/ (- y z) (- t z))
16.0ms
(* x (/ (- y z) (- t z)))

simplify47.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
050241163

prune103.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1026108
Fresh011
Picked011
Done000
Total1028110

Merged error: 0.0b

Counts
110 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t z) (- y z))
0.2b
(/ 1 (/ (- t z) (- y z)))
2.7b
(* 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))
11.0ms
(/ 1 (/ (- t z) (- y z)))
27.0ms
(* x (/ 1 (/ (- t z) (- y z))))

series55.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(/ (- t z) (- y z))
16.0ms
(/ 1 (/ (- t z) (- y z)))
25.0ms
(* x (/ 1 (/ (- t z) (- y z))))

simplify55.0ms

Algorithm
egg-herbie
Counts
336 → 336
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
050444378

prune238.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3342336
Fresh336
Picked101
Done011
Total3386344

Merged error: 0.0b

Counts
344 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.8b
(/ 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/
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))
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)))

simplify61.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
050783157

prune142.0ms

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:

0.5b
(cbrt (- t z))
0.5b
(cbrt (- t z))
0.5b
(cbrt (- t z))
5.5b
(* (/ x (* (cbrt (- t z)) (cbrt (- t z)))) (/ (- y z) (cbrt (- t z))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
60×*-un-lft-identity
50×times-frac
46×associate-*r*
42×cbrt-prod
28×add-cube-cbrt
25×add-exp-log
20×cbrt-div
18×add-cbrt-cube
16×distribute-lft-out-- difference-of-squares
15×associate-*l*
10×flip3-- associate-/r/ flip--
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow1 unswap-sqr
5×frac-times
4×add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 136
Calls
4 calls:
3.0ms
(cbrt (- t z))
3.0ms
(cbrt (- t z))
3.0ms
(cbrt (- t z))
36.0ms
(* (/ x (* (cbrt (- t z)) (cbrt (- t z)))) (/ (- y z) (cbrt (- t z))))

series104.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- t z))
25.0ms
(cbrt (- t z))
28.0ms
(cbrt (- t z))
26.0ms
(* (/ x (* (cbrt (- t z)) (cbrt (- t z)))) (/ (- y z) (cbrt (- t z))))

simplify59.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049492200
149492200

prune121.0ms

Filtered
111 candidates to 148 candidates (-33.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1480148
Fresh044
Picked011
Done022
Total1487155

Merged error: 0b

Counts
155 → 7

regimes430.0ms

Accuracy

38.1% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03251
13251

end0.0ms

sample515.0ms

Algorithm
intervals
Results
262.0ms8000×body80valid
17.0ms561×body80invalid

Profiling

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