Details

Time bar (total: 4.6s)

sample1.4s

Algorithm
intervals
sampling

Space saved by range analysis: 2.997307%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results
8.0ms256×body80valid
0.0ms16×body80invalid

simplify48.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1294
2544
3774
41044
51254
61344
71444
81454
91494
101534
112484
122864
133084
143944
154634
165214
176154
186914
197004
207004

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 10.2b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
9.5b
(/ (* x (- y z)) (- t z))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
6.0ms
(* x (- y z))
8.0ms
(/ (* x (- y z)) (- t z))

series25.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* x (- y z))
19.0ms
(/ (* x (- y z)) (- t z))

simplify34.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0264276
11209239
25001239

prune94.0ms

Filtered
40 candidates to 61 candidates (-52.5%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New54761
Fresh000
Picked101
Done000
Total55762

Merged error: 0.0b

Counts
62 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.8b
(/ x (/ (- t z) (- y z)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
7.0ms
(/ (- t z) (- y z))
11.0ms
(/ x (/ (- t z) (- y z)))

series33.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (- t z) (- y z))
24.0ms
(/ x (/ (- t z) (- y z)))

simplify69.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
06331784
128631733
250011730

prune143.0ms

Filtered
133 candidates to 200 candidates (-50.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1982200
Fresh336
Picked011
Done000
Total2016207

Merged error: 0b

Counts
207 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.8b
(* x (/ (- y z) (- t z)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
7.0ms
(/ (- y z) (- t z))
13.0ms
(* x (/ (- y z) (- t z)))

series26.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (- y z) (- t z))
18.0ms
(* x (/ (- y z) (- t z)))

simplify39.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0349647
11396606
25002606

prune81.0ms

Filtered
71 candidates to 108 candidates (-52.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1080108
Fresh044
Picked011
Done011
Total1086114

Merged error: 0b

Counts
114 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.0b
(/ x (- t z))
10.1b
(/ (/ x (- t z)) (/ 1 (- y z)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
1131×times-frac
699×add-sqr-sqrt *-un-lft-identity
419×add-cube-cbrt
140×distribute-lft-out-- difference-of-squares
93×associate-/r/
47×div-inv
46×flip3-- flip--
31×add-exp-log associate-/r*
27×associate-/l*
19×div-exp add-cbrt-cube
10×cbrt-undiv
4×pow1
3×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 585
Calls
3 calls:
5.0ms
(/ 1 (- y z))
5.0ms
(/ x (- t z))
22.0ms
(/ (/ x (- t z)) (/ 1 (- y z)))

series36.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ 1 (- y z))
7.0ms
(/ x (- t z))
25.0ms
(/ (/ x (- t z)) (/ 1 (- y z)))

simplify115.0ms

Algorithm
egg-herbie
Counts
594 → 594
Iterations

Useful iterations: 1 (43.0ms)

IterNodesCost
022427569
150017018

prune397.0ms

Filtered
299 candidates to 594 candidates (-98.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New5940594
Fresh033
Picked011
Done022
Total5946600

Merged error: 0b

Counts
600 → 6

regimes252.0ms

Accuracy

2.3% (2.2b remaining)

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

bsearch56.0ms

Steps
ItersRangePoint
5
1.7990442842600943e-206
4.0427065103972556e-206
3.5380098935821607e-206
9
-1.9472610128980452e-90
-1.3937682257754048e-96
-1.0415096894559436e-92

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0239
1239

end0.0ms

sample1.6s

Algorithm
intervals
sampling

Space saved by range analysis: 2.997307%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results
257.0ms8000×body80valid
20.0ms533×body80invalid

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