Details

Time bar (total: 5.4s)

sample1.5s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 8.184814%

Guaranteed chance to sample good point: 53.666157%

Results
8.0ms256×body80valid
1.0ms44×body80invalid

simplify103.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1284
2484
3794
41214
51494
62184
73204
83964
95994
108934
1112674
1223334
1335874
1450024

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.8b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y x) z)
0.0b
(+ x (/ (* (- y x) z) t))
7.2b
(/ (* (- y x) z) t)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×associate-*l/
3×times-frac associate-*r* associate-/r*
2×cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 57
Calls
3 calls:
6.0ms
(* (- y x) z)
4.0ms
(+ x (/ (* (- y x) z) t))
7.0ms
(/ (* (- y x) z) t)

series28.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* (- y x) z)
11.0ms
(+ x (/ (* (- y x) z) t))
11.0ms
(/ (* (- y x) z) t)

simplify36.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0283314
11117267
25001267

prune89.0ms

Filtered
45 candidates to 66 candidates (-46.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New59766
Fresh000
Picked101
Done000
Total60767

Merged error: 0.0b

Counts
67 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
8.7b
(/ (- y x) (/ t z))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
88×*-un-lft-identity
86×add-sqr-sqrt
58×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×add-exp-log add-cbrt-cube div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 div-sub associate-/l/
1×+-commutative associate-+r- flip3-- frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 114
Calls
2 calls:
19.0ms
(+ x (/ (- y x) (/ t z)))
8.0ms
(/ (- y x) (/ t z))

series25.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(+ x (/ (- y x) (/ t z)))
12.0ms
(/ (- y x) (/ t z))

simplify57.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0609959
12199914
25001913

prune118.0ms

Filtered
85 candidates to 120 candidates (-41.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1173120
Fresh246
Picked011
Done000
Total1198127

Merged error: 0b

Counts
127 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
8.4b
(* (- y x) (/ z t))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
2×frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 49
Calls
2 calls:
3.0ms
(+ x (* (- y x) (/ z t)))
9.0ms
(* (- y x) (/ z t))

series22.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(+ x (* (- y x) (/ z t)))
11.0ms
(* (- y x) (/ z t))

simplify35.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0296310
11245287
25001275

prune63.0ms

Filtered
38 candidates to 55 candidates (-44.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New55055
Fresh066
Picked011
Done011
Total55863

Merged error: 0b

Counts
63 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1 (/ (/ t z) (- y x))))
0.3b
(/ 1 (/ (/ t z) (- y x)))
8.7b
(/ (/ t z) (- y x))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
772×times-frac
462×*-un-lft-identity
459×add-sqr-sqrt
327×add-cube-cbrt
76×associate-/r*
66×distribute-lft-out-- difference-of-squares
33×div-inv
29×add-exp-log
18×div-exp
17×add-cbrt-cube
16×associate-/l*
11×associate-/r/
9×cbrt-undiv
5×flip3-- flip-- add-log-exp
4×pow1
3×rec-exp 1-exp
2×frac-2neg clear-num distribute-lft-out
1×+-commutative pow-flip flip3-+ sum-log flip-+ associate-/l/ inv-pow
Counts
3 → 425
Calls
3 calls:
54.0ms
(+ x (/ 1 (/ (/ t z) (- y x))))
18.0ms
(/ 1 (/ (/ t z) (- y x)))
8.0ms
(/ (/ t z) (- y x))

series37.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(+ x (/ 1 (/ (/ t z) (- y x))))
12.0ms
(/ 1 (/ (/ t z) (- y x)))
15.0ms
(/ (/ t z) (- y x))

simplify71.0ms

Algorithm
egg-herbie
Counts
434 → 434
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
014134513
150013666

prune200.0ms

Filtered
200 candidates to 434 candidates (-117.0%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New4340434
Fresh055
Picked011
Done022
Total4348442

Merged error: 0b

Counts
442 → 8

regimes328.0ms

Accuracy

26% (1.6b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 2.2b

bsearch84.0ms

Steps
ItersRangePoint
7
6.007089465677368e-121
2.3375047761868102e-119
3.969372858072416e-120
10
-6.59921386786388e-93
-1.784804856040401e-107
-3.790994996460383e-105

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02817
12817

end0.0ms

sample2.4s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 8.184814%

Guaranteed chance to sample good point: 53.666157%

Results
260.0ms8000×body80valid
68.0ms1748×body80invalid

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