Details

Time bar (total: 3.2s)

sample425.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 87.5%

Results
9.0ms275×body80valid

simplify49.0ms

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: 13.8b

Counts
2 → 1

localize234.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
13.1b
(/ (* x (- y z)) (- t z))

rewrite23.0ms

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))
14.0ms
(/ (* x (- y z)) (- t z))

series23.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* x (- y z))
16.0ms
(/ (* x (- y z)) (- t z))

simplify35.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0264276
11209239
25001239

prune87.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New52961
Fresh000
Picked101
Done000
Total53962

Merged error: 0.0b

Counts
62 → 9

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
1.5b
(* x (/ (- y z) (- t z)))

rewrite26.0ms

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)))

series25.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (- y z) (- t z))
16.0ms
(* x (/ (- y z) (- t z)))

simplify39.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0349647
11396606
25002606

prune105.0ms

Filtered
68 candidates to 108 candidates (-58.8%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1053108
Fresh268
Picked101
Done000
Total1089117

Merged error: 0b

Counts
117 → 9

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ y (- t z)) (/ z (- t z)))
0.0b
(/ z (- t z))
0.0b
(/ y (- t z))
1.5b
(* x (- (/ y (- t z)) (/ z (- t z))))

rewrite76.0ms

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-*r*
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-*r/
3×sub-neg associate-*l*
2×cbrt-undiv distribute-rgt-in frac-2neg distribute-lft-in div-exp clear-num frac-sub sub-div
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 144
Calls
4 calls:
26.0ms
(- (/ y (- t z)) (/ z (- t z)))
5.0ms
(/ z (- t z))
5.0ms
(/ y (- t z))
33.0ms
(* x (- (/ y (- t z)) (/ z (- t z))))

series59.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(- (/ y (- t z)) (/ z (- t z)))
5.0ms
(/ z (- t z))
7.0ms
(/ y (- t z))
26.0ms
(* x (- (/ y (- t z)) (/ z (- t z))))

simplify79.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0433894
11617844
25002844

prune139.0ms

Filtered
113 candidates to 156 candidates (-38.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1551156
Fresh358
Picked011
Done000
Total1587165

Merged error: 0b

Counts
165 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
1.5b
(/ x (/ (- t z) (- y z)))

rewrite32.0ms

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:
8.0ms
(/ (- t z) (- y z))
12.0ms
(/ x (/ (- t z) (- y z)))

series40.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(/ (- t z) (- y z))
26.0ms
(/ x (/ (- t z) (- y z)))

simplify73.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
06331784
128631733
250011730

prune127.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2000200
Fresh055
Picked011
Done011
Total2007207

Merged error: 0b

Counts
207 → 7

regimes396.0ms

Accuracy

4.8% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.1b

bsearch45.0ms

Steps
ItersRangePoint
9
4.152233279825462e-270
1.01665491655792e-264
5.317812166204711e-269
9
-7.773188044435859e-194
-2.015198005072172e-201
-4.490951034909339e-195

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02214
12214

end0.0ms

sample1.1s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 87.5%

Results
323.0ms8707×body80valid

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