Details

Time bar (total: 4.9s)

analyze1.4s

Algorithm
search
sampling

Space saved by range analysis: 0.195169%

Space saved by search: 18.77456%

Guaranteed chance to sample good point: 49.985001%

sample27.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
2.0ms66×body80invalid

simplify83.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1284
2804
32544
46414
510664
623734
739144
850014

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×*-un-lft-identity
6×flip3-- flip--
5×associate-*r* associate-*l*
4×pow1 add-exp-log distribute-rgt-in frac-times add-cube-cbrt sub-neg associate-+r+ distribute-lft-in add-cbrt-cube add-log-exp
2×associate-*r/ associate-*l/ distribute-lft-out-- difference-of-squares
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 49
Calls
2 calls:
4.0ms
(+ x (* (- y z) (- t x)))
9.0ms
(* (- y z) (- t x))

series24.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(+ x (* (- y z) (- t x)))
9.0ms
(* (- y z) (- t x))

simplify35.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0290310
11174292
25001291

prune72.0ms

Filtered
40 candidates to 55 candidates (-37.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New50555
Fresh000
Picked011
Done000
Total50656

Merged error: 0b

Counts
56 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- y z) t)
0.0b
(+ (* (- y z) t) (* (- y z) (neg x)))
0.0b
(+ x (+ (* (- y z) t) (* (- y z) (neg x))))
0.0b
(* (- y z) (neg x))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×*-un-lft-identity
13×associate-*r*
12×associate-*l/
11×add-log-exp
10×add-cube-cbrt associate-*l*
8×pow1 add-exp-log add-cbrt-cube
6×flip3-- flip--
5×distribute-rgt-neg-out
4×frac-add sum-log
3×distribute-lft-neg-in distribute-rgt-neg-in
2×+-commutative associate-+r- flip3-+ unsub-neg pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
1×neg-mul-1 associate-+r+
Counts
4 → 86
Calls
4 calls:
6.0ms
(* (- y z) t)
8.0ms
(+ (* (- y z) t) (* (- y z) (neg x)))
7.0ms
(+ x (+ (* (- y z) t) (* (- y z) (neg x))))
8.0ms
(* (- y z) (neg x))

series44.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (- y z) t)
15.0ms
(+ (* (- y z) t) (* (- y z) (neg x)))
15.0ms
(+ x (+ (* (- y z) t) (* (- y z) (neg x))))
7.0ms
(* (- y z) (neg x))

simplify60.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0464589
12070523
25003518

prune100.0ms

Filtered
77 candidates to 98 candidates (-27.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New98098
Fresh044
Picked011
Done011
Total986104

Merged error: 0b

Counts
104 → 6

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(* x (- (+ z 1) y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
7×add-sqr-sqrt
6×associate-*r*
3×pow1 add-exp-log distribute-rgt-in add-cube-cbrt distribute-lft-in associate-*l* add-cbrt-cube
2×sub-neg associate-*r/ associate--l+ distribute-lft-out--
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out add-log-exp difference-of-squares unswap-sqr
Counts
1 → 29
Calls
1 calls:
8.0ms
(* x (- (+ z 1) y))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(* x (- (+ z 1) y))

simplify67.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0133141
1589124
23065124
35002124

prune36.0ms

Filtered
18 candidates to 32 candidates (-77.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New32032
Fresh033
Picked011
Done022
Total32638

Merged error: 0b

Counts
38 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- t x))
0.0b
(+ x (* (* (- y z) (sqrt (- t x))) (sqrt (- t x))))
0.2b
(* (- y z) (sqrt (- t x)))
0.2b
(* (* (- y z) (sqrt (- t x))) (sqrt (- t x)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
44×sqrt-div
34×flip3-- flip--
32×frac-times
23×add-sqr-sqrt
18×*-un-lft-identity
16×associate-*r* associate-*l/ sqrt-prod
12×pow1
11×add-exp-log add-cbrt-cube
10×add-cube-cbrt associate-*r/
6×associate-*l* add-log-exp
4×pow-prod-down prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares
2×*-commutative unswap-sqr
1×+-commutative rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 sum-log flip-+
Counts
4 → 111
Calls
4 calls:
3.0ms
(sqrt (- t x))
3.0ms
(+ x (* (* (- y z) (sqrt (- t x))) (sqrt (- t x))))
10.0ms
(* (- y z) (sqrt (- t x)))
16.0ms
(* (* (- y z) (sqrt (- t x))) (sqrt (- t x)))

series53.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(sqrt (- t x))
15.0ms
(+ x (* (* (- y z) (sqrt (- t x))) (sqrt (- t x))))
17.0ms
(* (- y z) (sqrt (- t x)))
10.0ms
(* (* (- y z) (sqrt (- t x))) (sqrt (- t x)))

simplify57.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05221107
11933990
25001980

prune108.0ms

Filtered
86 candidates to 123 candidates (-43.0%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1230123
Fresh022
Picked011
Done033
Total1236129

Merged error: 0b

Counts
129 → 6

regimes364.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0167
1207
2217
3217

end0.0ms

analyze1.4s

Algorithm
search
sampling

Space saved by range analysis: 0.195169%

Space saved by search: 18.77456%

Guaranteed chance to sample good point: 49.985001%

sample729.0ms

Algorithm
intervals
Results
424.0ms8000×body80valid
58.0ms1924×body80invalid

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