Details

Time bar (total: 4.3s)

sample1.2s

Algorithm
intervals
sampling

Space saved by range analysis: 2.851109%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results
7.0ms256×body80valid
1.0ms19×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: 2.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
2.1b
(* (/ (- x y) (- z y)) t)

rewrite26.0ms

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:
11.0ms
(/ (- x y) (- z y))
11.0ms
(* (/ (- x y) (- z y)) t)

series30.0ms

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

simplify93.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0360653
11125612
24514611
35001611

prune100.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1035108
Fresh000
Picked011
Done000
Total1036109

Merged error: 0.0b

Counts
109 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z y) (- x y))
0.1b
(/ 1 (/ (- z y) (- x y)))
2.1b
(* (/ 1 (/ (- z y) (- x y))) t)

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac
335×add-sqr-sqrt
323×*-un-lft-identity
157×add-cube-cbrt
98×associate-*l*
82×distribute-lft-out-- difference-of-squares
36×associate-/r*
35×add-exp-log
19×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
9×flip3-- flip--
8×associate-/l*
7×cbrt-undiv prod-exp
6×pow1
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*r* cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/l/
1×pow-flip div-sub pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 326
Calls
3 calls:
7.0ms
(/ (- z y) (- x y))
13.0ms
(/ 1 (/ (- z y) (- x y)))
22.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

series57.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ (- z y) (- x y))
21.0ms
(/ 1 (/ (- z y) (- x y)))
27.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

simplify101.0ms

Algorithm
egg-herbie
Counts
335 → 335
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
08742678
141882392
250012169

prune211.0ms

Filtered
177 candidates to 335 candidates (-89.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New3350335
Fresh044
Picked011
Done011
Total3356341

Merged error: 0.0b

Counts
341 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z y))
0.2b
(* (- x y) (/ 1 (- z y)))
2.1b
(* (* (- x y) (/ 1 (- z y))) t)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×add-cube-cbrt associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
10×associate-*l/
8×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp associate-*l* flip--
5×associate-/r*
4×frac-times pow-prod-down associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×associate-*r/ un-div-inv *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 119
Calls
3 calls:
5.0ms
(/ 1 (- z y))
12.0ms
(* (- x y) (/ 1 (- z y)))
11.0ms
(* (* (- x y) (/ 1 (- z y))) t)

series38.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ 1 (- z y))
9.0ms
(* (- x y) (/ 1 (- z y)))
25.0ms
(* (* (- x y) (/ 1 (- z y))) t)

simplify49.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0392673
11893556
25001514

prune90.0ms

Filtered
71 candidates to 128 candidates (-80.3%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1280128
Fresh033
Picked011
Done022
Total1286134

Merged error: 0.0b

Counts
134 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- z y))
10.3b
(* (- x y) (/ t (- z y)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*l* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 83
Calls
2 calls:
5.0ms
(/ t (- z y))
11.0ms
(* (- x y) (/ t (- z y)))

series21.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ t (- z y))
15.0ms
(* (- x y) (/ t (- z y)))

simplify37.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0293474
11347437
25001437

prune64.0ms

Filtered
63 candidates to 89 candidates (-41.3%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New88189
Fresh112
Picked011
Done033
Total89695

Merged error: 0b

Counts
95 → 6

regimes387.0ms

Accuracy

6.5% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.4b

bsearch67.0ms

Steps
ItersRangePoint
6
1.505675619964446e-124
1.9191533999188868e-123
1.2163214594091532e-123
10
-4.888396928084732e-221
-1.2495743037944649e-233
-1.874520956679583e-221

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0218
1218

end0.0ms

sample1.6s

Algorithm
intervals
sampling

Space saved by range analysis: 2.851109%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results
250.0ms8000×body80valid
15.0ms497×body80invalid

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