Details

Time bar (total: 19.2s)

sample8.1s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 2.661133%

Guaranteed chance to sample good point: 70.04013%

Results
11.0ms256×body80valid
0.0ms13×body80invalid

simplify48.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0174
1254
2494
3724
41054
51224
61394
71494
81564
91604
101644
112594
122974
133194
144054
154744
165324
176264
187024
197114
207114

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.9b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
1.8b
(* (/ (- x y) (- z y)) t)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
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-*r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
7.0ms
(/ (- x y) (- z y))
12.0ms
(* (/ (- x y) (- z y)) t)

series29.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (- x y) (- z y))
21.0ms
(* (/ (- x y) (- z y)) t)

simplify272.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0360653
11125612
24514611
35001611

prune119.0ms

Filtered
72 candidates to 108 candidates (-50.0%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New999108
Fresh000
Picked101
Done000
Total1009109

Merged error: 0b

Counts
109 → 9

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x y))
0.6b
(cbrt (- z y))
0.6b
(cbrt (- z y))
0.6b
(cbrt (- z y))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
16×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 60
Calls
4 calls:
5.0ms
(cbrt (- x y))
5.0ms
(cbrt (- z y))
5.0ms
(cbrt (- z y))
5.0ms
(cbrt (- z y))

series110.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt (- x y))
25.0ms
(cbrt (- z y))
27.0ms
(cbrt (- z y))
30.0ms
(cbrt (- z y))

simplify53.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (45.0ms)

IterNodesCost
0243444
1537424
21508384
35001348

prune105.0ms

Filtered
56 candidates to 72 candidates (-28.6%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New72072
Fresh088
Picked011
Done000
Total72981

Merged error: 0b

Counts
81 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (- z y))
0.0b
(/ x (- z y))
0.0b
(- (/ x (- z y)) (/ y (- z y)))
1.8b
(* (- (/ x (- z y)) (/ y (- z y))) t)

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
98×*-un-lft-identity
80×add-sqr-sqrt
66×times-frac
32×distribute-lft-out--
30×add-cube-cbrt
20×difference-of-squares
18×associate-*l*
12×associate-/r/
10×add-exp-log associate-/r* add-cbrt-cube
8×flip3-- flip--
6×pow1 distribute-rgt-out-- div-inv associate-/l* add-log-exp
4×associate-*l/
3×associate-*r*
2×cbrt-undiv frac-2neg div-exp clear-num frac-sub sub-div
1×sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 140
Calls
4 calls:
5.0ms
(/ y (- z y))
5.0ms
(/ x (- z y))
27.0ms
(- (/ x (- z y)) (/ y (- z y)))
33.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

series60.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ y (- z y))
7.0ms
(/ x (- z y))
14.0ms
(- (/ x (- z y)) (/ y (- z y)))
34.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

simplify101.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0376922
11210874
24299872
35001872

prune140.0ms

Filtered
112 candidates to 152 candidates (-35.7%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1511152
Fresh167
Picked011
Done011
Total1529161

Merged error: 0b

Counts
161 → 9

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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-*l* associate-/r*
4×pow1 associate-*l/
3×flip3-- associate-*r* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv 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 → 51
Calls
2 calls:
6.0ms
(* (- x y) t)
9.0ms
(/ (* (- x y) t) (- z y))

series21.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* (- x y) t)
15.0ms
(/ (* (- x y) t) (- z y))

simplify35.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0256263
11188226
25001226

prune47.0ms

Filtered
39 candidates to 57 candidates (-46.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New56157
Fresh156
Picked011
Done112
Total58866

Merged error: 0b

Counts
66 → 8

regimes501.0ms

Accuracy

41.9% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02416
12416

end0.0ms

sample9.2s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 2.661133%

Guaranteed chance to sample good point: 70.04013%

Results
259.0ms8000×body80valid
17.0ms454×body80invalid

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