Details

Time bar (total: 3.3s)

analyze445.0ms

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
15.6%84.2%0.2%8
28.1%71.7%0.2%9
37.4%62.4%0.2%10
41.7%58.1%0.2%11
53%46.8%0.2%12
64.1%35.6%0.3%13
66.7%32.8%0.5%14

sample21.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
0.0ms16×body80invalid

simplify25.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
07719
17719

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 9.0b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
8.9b
(/ x (* (- y z) (- t z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
6×add-cube-cbrt
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv sub-neg div-exp prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 61
Calls
2 calls:
9.0ms
(* (- y z) (- t z))
9.0ms
(/ x (* (- y z) (- t z)))

series34.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(* (- y z) (- t z))
26.0ms
(/ x (* (- y z) (- t z)))

simplify39.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
05099731

prune88.0ms

Filtered
51 candidates to 67 candidates (-31.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New61667
Fresh000
Picked101
Done000
Total62668

Merged error: 0.0b

Counts
68 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
9×add-exp-log add-cbrt-cube
8×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 185
Calls
2 calls:
5.0ms
(/ x (- y z))
12.0ms
(/ (/ x (- y z)) (- t z))

series33.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ x (- y z))
26.0ms
(/ (/ x (- y z)) (- t z))

simplify63.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
054073094

prune144.0ms

Filtered
128 candidates to 191 candidates (-49.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1892191
Fresh145
Picked011
Done000
Total1907197

Merged error: 0b

Counts
197 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
2.0b
(/ (/ (/ x (* (cbrt (- y z)) (cbrt (- y z)))) (cbrt (- y z))) (- t z))

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
1494×times-frac
856×add-sqr-sqrt *-un-lft-identity
594×cbrt-div
465×cbrt-prod
416×add-cube-cbrt
398×associate-/r/
298×flip3-- flip--
220×distribute-lft-out-- difference-of-squares
192×frac-times
126×associate-/l*
96×associate-*r/ associate-*l/
55×div-inv
18×add-exp-log
13×add-cbrt-cube
9×cbrt-undiv div-exp
5×associate-/r*
4×pow1 add-log-exp
3×pow1/3
1×frac-2neg prod-exp clear-num cbrt-unprod associate-/l/
Counts
4 → 827
Calls
4 calls:
3.0ms
(cbrt (- y z))
3.0ms
(cbrt (- y z))
3.0ms
(cbrt (- y z))
47.0ms
(/ (/ (/ x (* (cbrt (- y z)) (cbrt (- y z)))) (cbrt (- y z))) (- t z))

series112.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt (- y z))
26.0ms
(cbrt (- y z))
26.0ms
(cbrt (- y z))
33.0ms
(/ (/ (/ x (* (cbrt (- y z)) (cbrt (- y z)))) (cbrt (- y z))) (- t z))

simplify201.0ms

Algorithm
egg-herbie
Counts
839 → 839
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
0501630175

prune726.0ms

Filtered
530 candidates to 839 candidates (-58.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New8390839
Fresh055
Picked011
Done011
Total8397846

Merged error: 0b

Counts
846 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y z) x)
0.9b
(/ 1 (* (/ (- y z) x) (- t z)))
2.0b
(* (/ (- y z) x) (- t z))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
41×*-un-lft-identity
34×times-frac
31×add-exp-log
25×add-cube-cbrt
19×associate-*l* add-cbrt-cube
11×div-exp
8×pow1 prod-exp associate-/l* distribute-lft-out-- difference-of-squares
6×cbrt-undiv
5×flip3-- associate-*r* associate-/r/ flip--
4×frac-times associate-*r/ associate-/r* cbrt-unprod
3×rec-exp 1-exp div-inv add-log-exp
2×sub-neg pow-flip frac-2neg pow-prod-down associate-*l/ clear-num associate-/l/ unswap-sqr
1×distribute-rgt-in distribute-lft-in div-sub *-commutative inv-pow
Counts
3 → 121
Calls
3 calls:
5.0ms
(/ (- y z) x)
11.0ms
(/ 1 (* (/ (- y z) x) (- t z)))
12.0ms
(* (/ (- y z) x) (- t z))

series69.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ (- y z) x)
44.0ms
(/ 1 (* (/ (- y z) x) (- t z)))
18.0ms
(* (/ (- y z) x) (- t z))

simplify63.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
049651291
149651291

prune93.0ms

Filtered
86 candidates to 130 candidates (-51.2%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1300130
Fresh044
Picked011
Done022
Total1307137

Merged error: 0b

Counts
137 → 7

regimes343.0ms

Accuracy

-6.3% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.1b

bsearch36.0ms

Steps
ItersRangePoint
9
7.440317101121925e+130
1.0815518882873705e+136
1.6280989697092715e+131
10
-4.28101664600037e-128
-4.048787803249223e-142
-2.1355344036848286e-139

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03539
13539

end0.0ms

sample450.0ms

Algorithm
intervals
Results
242.0ms8000×body80valid
11.0ms394×body80invalid

Profiling

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