Details

Time bar (total: 16.6s)

sample433.0ms

Algorithm
intervals
Results
246.0ms2527×body80nan
63.0ms163×body640valid
12.0ms43×body320valid
4.0ms19×body160valid
3.0ms28×body80valid
1.0ms3×body1280valid

simplify25.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05119
115619
290719
3500119

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.5b

Counts
2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

1.9b
(- (sqrt (+ t 1.0)) (sqrt t))
2.6b
(- (sqrt (+ z 1.0)) (sqrt z))
2.9b
(- (sqrt (+ x 1.0)) (sqrt x))
3.9b
(- (sqrt (+ y 1.0)) (sqrt y))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
32×*-un-lft-identity sqrt-prod
16×difference-of-squares
12×distribute-lft-out-- add-log-exp
4×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- diff-log add-cbrt-cube flip-- distribute-lft-out
Counts
4 → 76
Calls
4 calls:
7.0ms
(- (sqrt (+ t 1.0)) (sqrt t))
8.0ms
(- (sqrt (+ z 1.0)) (sqrt z))
8.0ms
(- (sqrt (+ x 1.0)) (sqrt x))
8.0ms
(- (sqrt (+ y 1.0)) (sqrt y))

series39.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (sqrt (+ t 1.0)) (sqrt t))
9.0ms
(- (sqrt (+ z 1.0)) (sqrt z))
9.0ms
(- (sqrt (+ x 1.0)) (sqrt x))
11.0ms
(- (sqrt (+ y 1.0)) (sqrt y))

simplify61.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0692864
12941824
25002824

prune278.0ms

Filtered
60 candidates to 88 candidates (-46.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New80888
Fresh000
Picked101
Done000
Total81889

Merged error: 4.3b

Counts
89 → 8

localize28.0ms

Local error

Found 4 expressions with local error:

1.9b
(- (sqrt (+ t 1.0)) (sqrt t))
2.6b
(- (sqrt (+ z 1.0)) (sqrt z))
2.9b
(- (sqrt (+ x 1.0)) (sqrt x))
2.9b
(+ y (- 1.0 y))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
28×add-sqr-sqrt
24×sqrt-prod
15×add-log-exp
12×difference-of-squares
10×distribute-lft-out--
5×distribute-lft-out
4×pow1 add-exp-log add-cube-cbrt sub-neg diff-log add-cbrt-cube
3×flip3-- flip--
2×associate-+r+ sum-log
1×+-commutative associate-+r- flip3-+ flip-+
Counts
4 → 74
Calls
4 calls:
7.0ms
(- (sqrt (+ t 1.0)) (sqrt t))
8.0ms
(- (sqrt (+ z 1.0)) (sqrt z))
8.0ms
(- (sqrt (+ x 1.0)) (sqrt x))
5.0ms
(+ y (- 1.0 y))

series29.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (sqrt (+ t 1.0)) (sqrt t))
9.0ms
(- (sqrt (+ z 1.0)) (sqrt z))
9.0ms
(- (sqrt (+ x 1.0)) (sqrt x))
1.0ms
(+ y (- 1.0 y))

simplify53.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0604708
12432673
25001673

prune259.0ms

Filtered
59 candidates to 86 candidates (-45.8%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New83386
Fresh167
Picked101
Done000
Total85994

Merged error: 3.1b

Counts
94 → 9

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
1.9b
(- (sqrt (+ t 1.0)) (sqrt t))
2.6b
(- (sqrt (+ z 1.0)) (sqrt z))
2.9b
(- (sqrt (+ x 1.0)) (sqrt x))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
64×*-un-lft-identity
40×sqrt-prod
39×add-sqr-sqrt
19×distribute-lft-out
18×times-frac
15×add-cube-cbrt
12×difference-of-squares
10×add-log-exp
9×distribute-lft-out--
6×add-exp-log associate-/r* add-cbrt-cube
4×pow1
3×sub-neg flip3-- diff-log flip-- associate-/l*
2×associate-/r/
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
Counts
4 → 98
Calls
4 calls:
9.0ms
(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
7.0ms
(- (sqrt (+ t 1.0)) (sqrt t))
9.0ms
(- (sqrt (+ z 1.0)) (sqrt z))
8.0ms
(- (sqrt (+ x 1.0)) (sqrt x))

series38.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
10.0ms
(- (sqrt (+ t 1.0)) (sqrt t))
10.0ms
(- (sqrt (+ z 1.0)) (sqrt z))
10.0ms
(- (sqrt (+ x 1.0)) (sqrt x))

simplify78.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
08131083
135711022
250031005

prune338.0ms

Filtered
72 candidates to 110 candidates (-52.8%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1046110
Fresh358
Picked101
Done000
Total10811119

Merged error: 3.0b

Counts
119 → 11

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
1.7b
(+ z (- 1.0 z))
1.9b
(- (sqrt (+ t 1.0)) (sqrt t))
2.9b
(- (sqrt (+ x 1.0)) (sqrt x))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
62×*-un-lft-identity
32×sqrt-prod
31×add-sqr-sqrt
20×distribute-lft-out
18×times-frac
15×add-cube-cbrt
13×add-log-exp
8×difference-of-squares
7×distribute-lft-out--
6×add-exp-log associate-/r* add-cbrt-cube
4×pow1
3×sub-neg diff-log associate-/l*
2×associate-+r+ flip3-- flip3-+ sum-log associate-/r/ flip-- flip-+
1×cbrt-undiv +-commutative associate-+r- frac-2neg div-exp clear-num div-inv
Counts
4 → 96
Calls
4 calls:
10.0ms
(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
5.0ms
(+ z (- 1.0 z))
7.0ms
(- (sqrt (+ t 1.0)) (sqrt t))
8.0ms
(- (sqrt (+ x 1.0)) (sqrt x))

series29.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
1.0ms
(+ z (- 1.0 z))
9.0ms
(- (sqrt (+ t 1.0)) (sqrt t))
10.0ms
(- (sqrt (+ x 1.0)) (sqrt x))

simplify69.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0722927
13053871
25002854

prune262.0ms

Filtered
70 candidates to 108 candidates (-54.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1071108
Fresh1910
Picked101
Done000
Total10910119

Merged error: 2.5b

Counts
119 → 10

regimes1.4s

Accuracy

0% (0.7b remaining)

Error of 2.7b against oracle of 2.1b and baseline of 2.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03521
13521

end0.0ms

sample13.0s

Algorithm
intervals
Results
7.4s75078×body80nan
2.1s5225×body640valid
475.0ms1582×body320valid
88.0ms450×body160valid
66.0ms132×body1280valid
65.0ms611×body80valid

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