Details

Time bar (total: 4.1s)

sample1.3s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 12.27417%

Guaranteed chance to sample good point: 76.647186%

Results
12.0ms256×body80valid
1.0ms36×body80invalid

simplify67.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0224
1444
21144
32204
43544
55504
616694
750024

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 10.4b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
9.7b
(/ (* x (+ (- y z) 1.0)) z)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ associate-/l/ distribute-lft-out add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
2 → 47
Calls
2 calls:
9.0ms
(* x (+ (- y z) 1.0))
9.0ms
(/ (* x (+ (- y z) 1.0)) z)

series16.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* x (+ (- y z) 1.0))
9.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify36.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0254285
11225238
25001238

prune66.0ms

Filtered
35 candidates to 53 candidates (-51.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New48553
Fresh000
Picked011
Done000
Total48654

Merged error: 0.0b

Counts
54 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
3.9b
(/ x (/ z (+ (- y z) 1.0)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
138×times-frac
70×add-sqr-sqrt add-cube-cbrt
32×distribute-lft-out
26×associate-/r*
16×distribute-lft-out--
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
7.0ms
(/ z (+ (- y z) 1.0))
13.0ms
(/ x (/ z (+ (- y z) 1.0)))

series17.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ z (+ (- y z) 1.0))
10.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify58.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04551177
121101129
250031126

prune134.0ms

Filtered
93 candidates to 145 candidates (-55.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1441145
Fresh314
Picked101
Done011
Total1483151

Merged error: 0b

Counts
151 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- y z) 1.0) z)
4.3b
(* x (/ (+ (- y z) 1.0) z))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
31×times-frac
27×add-sqr-sqrt
22×add-cube-cbrt
19×associate-*r*
14×distribute-lft-out
9×add-exp-log add-cbrt-cube
7×distribute-lft-out--
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×associate-+l- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
2 → 76
Calls
2 calls:
8.0ms
(/ (+ (- y z) 1.0) z)
11.0ms
(* x (/ (+ (- y z) 1.0) z))

series14.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ (+ (- y z) 1.0) z)
9.0ms
(* x (/ (+ (- y z) 1.0) z))

simplify35.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0267479
11167438
25001432

prune70.0ms

Filtered
49 candidates to 82 candidates (-67.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New82082
Fresh011
Picked011
Done011
Total82385

Merged error: 0b

Counts
85 → 3

localize8.0ms

Local error

Found 1 expressions with local error:

7.9b
(* (/ x z) (+ (- y z) 1.0))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity
13×associate-*l*
10×times-frac
9×add-cube-cbrt
6×add-exp-log add-cbrt-cube
5×associate-*r*
3×pow1
2×frac-times flip3-+ associate-*r/ prod-exp cbrt-unprod flip-+ distribute-lft-out unswap-sqr
1×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- add-log-exp
Counts
1 → 40
Calls
1 calls:
11.0ms
(* (/ x z) (+ (- y z) 1.0))

series10.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(* (/ x z) (+ (- y z) 1.0))

simplify33.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0334267
11328239
25001233

prune36.0ms

Filtered
29 candidates to 43 candidates (-48.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New43043
Fresh000
Picked011
Done022
Total43346

Merged error: 0b

Counts
46 → 3

regimes207.0ms

Accuracy

97% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 3.4b

bsearch35.0ms

Steps
ItersRangePoint
8
3.1783504722884326e+22
2.8969402277958465e+26
3.5189751101663545e+22
7
-3.330216549661358e-17
-6.738811262640758e-19
-3.1465752678924294e-17

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0228
1228

end0.0ms

sample1.8s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 12.27417%

Guaranteed chance to sample good point: 76.647186%

Results
251.0ms8000×body80valid
26.0ms873×body80invalid

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