Details

Time bar (total: 8.0s)

sample3.0s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 3.417969%

Guaranteed chance to sample good point: 32.254803%

Results
8.0ms256×body80valid
2.0ms68×body80invalid

simplify45.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1264
2464
3854
41274
51484
61654
72154
83034
93894
106024
117124
127914
137914

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.9b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
7.5b
(/ (* y (- z t)) a)

rewrite20.0ms

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-*r* add-log-exp
4×associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in 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 → 61
Calls
3 calls:
5.0ms
(+ x (/ (* y (- z t)) a))
6.0ms
(* y (- z t))
7.0ms
(/ (* y (- z t)) a)

series38.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(+ x (/ (* y (- z t)) a))
7.0ms
(* y (- z t))
12.0ms
(/ (* y (- z t)) a)

simplify40.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0297325
11236280
25001280

prune95.0ms

Filtered
45 candidates to 70 candidates (-55.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New62870
Fresh000
Picked101
Done000
Total63871

Merged error: 0.0b

Counts
71 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ a (- z t))))
0.0b
(/ a (- z t))
5.7b
(/ y (/ a (- z t)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
105×*-un-lft-identity
103×add-sqr-sqrt
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip-- add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 151
Calls
3 calls:
18.0ms
(+ x (/ y (/ a (- z t))))
5.0ms
(/ a (- z t))
11.0ms
(/ y (/ a (- z t)))

series35.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(+ x (/ y (/ a (- z t))))
7.0ms
(/ a (- z t))
12.0ms
(/ y (/ a (- z t)))

simplify66.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05471150
123841110
250011107

prune138.0ms

Filtered
119 candidates to 160 candidates (-34.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1591160
Fresh437
Picked011
Done000
Total1635168

Merged error: 0.0b

Counts
168 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ y a) (- z t)))
6.1b
(* (/ y a) (- z t))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
2×frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
3.0ms
(+ x (* (/ y a) (- z t)))
9.0ms
(* (/ y a) (- z t))

series30.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(+ x (* (/ y a) (- z t)))
15.0ms
(* (/ y a) (- z t))

simplify38.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0323335
11236299
25001299

prune60.0ms

Filtered
42 candidates to 63 candidates (-50.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New63063
Fresh033
Picked011
Done011
Total63568

Merged error: 0.0b

Counts
68 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- z t) a)))
0.0b
(/ (- z t) a)
5.9b
(* y (/ (- z t) a))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 87
Calls
3 calls:
3.0ms
(+ x (* y (/ (- z t) a)))
6.0ms
(/ (- z t) a)
9.0ms
(* y (/ (- z t) a))

series33.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(+ x (* y (/ (- z t) a)))
6.0ms
(/ (- z t) a)
12.0ms
(* y (/ (- z t) a))

simplify46.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0345498
11408465
25002453

prune69.0ms

Filtered
65 candidates to 96 candidates (-47.7%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New96096
Fresh022
Picked011
Done022
Total965101

Merged error: 0.0b

Counts
101 → 5

regimes488.0ms

Accuracy

63.4% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.3b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03314
13714
23814
33814

end0.0ms

sample3.7s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 3.417969%

Guaranteed chance to sample good point: 32.254803%

Results
279.0ms8000×body80valid
93.0ms2374×body80invalid

Profiling

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