Details

Time bar (total: 16.6s)

sample437.0ms

Algorithm
intervals
Results
238.0ms2503×body80nan
68.0ms178×body640valid
13.0ms47×body320valid
2.0ms12×body160valid
2.0ms19×body80valid

simplify26.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05119
115619
290719
3500119

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.0b

Counts
2 → 1

localize25.0ms

Local error

Found 4 expressions with local error:

1.7b
(- (sqrt (+ t 1.0)) (sqrt t))
2.2b
(- (sqrt (+ x 1.0)) (sqrt x))
2.6b
(- (sqrt (+ y 1.0)) (sqrt y))
2.6b
(- (sqrt (+ z 1.0)) (sqrt z))

rewrite34.0ms

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:
8.0ms
(- (sqrt (+ t 1.0)) (sqrt t))
8.0ms
(- (sqrt (+ x 1.0)) (sqrt x))
8.0ms
(- (sqrt (+ y 1.0)) (sqrt y))
8.0ms
(- (sqrt (+ z 1.0)) (sqrt z))

series43.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(- (sqrt (+ t 1.0)) (sqrt t))
13.0ms
(- (sqrt (+ x 1.0)) (sqrt x))
10.0ms
(- (sqrt (+ y 1.0)) (sqrt y))
10.0ms
(- (sqrt (+ z 1.0)) (sqrt z))

simplify63.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0692864
12941824
25001824

prune271.0ms

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

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New781088
Fresh000
Picked101
Done000
Total791089

Merged error: 3.0b

Counts
89 → 10

localize28.0ms

Local error

Found 4 expressions with local error:

1.5b
(+ x (- 1.0 x))
1.7b
(- (sqrt (+ t 1.0)) (sqrt t))
2.6b
(- (sqrt (+ y 1.0)) (sqrt y))
2.6b
(- (sqrt (+ z 1.0)) (sqrt z))

rewrite32.0ms

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:
5.0ms
(+ x (- 1.0 x))
8.0ms
(- (sqrt (+ t 1.0)) (sqrt t))
8.0ms
(- (sqrt (+ y 1.0)) (sqrt y))
8.0ms
(- (sqrt (+ z 1.0)) (sqrt z))

series39.0ms

Counts
4 → 12
Calls
4 calls:
1.0ms
(+ x (- 1.0 x))
16.0ms
(- (sqrt (+ t 1.0)) (sqrt t))
12.0ms
(- (sqrt (+ y 1.0)) (sqrt y))
10.0ms
(- (sqrt (+ z 1.0)) (sqrt z))

simplify71.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
0602708
12429673
25002673

prune257.0ms

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

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New80686
Fresh369
Picked101
Done000
Total841296

Merged error: 2.3b

Counts
96 → 12

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
1.7b
(- (sqrt (+ t 1.0)) (sqrt t))
2.6b
(- (sqrt (+ y 1.0)) (sqrt y))
2.6b
(- (sqrt (+ z 1.0)) (sqrt z))

rewrite36.0ms

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 (+ x 1.0)) (sqrt x)))
8.0ms
(- (sqrt (+ t 1.0)) (sqrt t))
8.0ms
(- (sqrt (+ y 1.0)) (sqrt y))
8.0ms
(- (sqrt (+ z 1.0)) (sqrt z))

series40.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
10.0ms
(- (sqrt (+ t 1.0)) (sqrt t))
10.0ms
(- (sqrt (+ y 1.0)) (sqrt y))
12.0ms
(- (sqrt (+ z 1.0)) (sqrt z))

simplify75.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
08161082
135861020
250021003

prune342.0ms

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

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1055110
Fresh3811
Picked101
Done000
Total10913122

Merged error: 2.2b

Counts
122 → 13

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
1.7b
(- (sqrt (+ t 1.0)) (sqrt t))
2.2b
(+ z (- 1.0 z))
2.6b
(- (sqrt (+ y 1.0)) (sqrt y))

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:
9.0ms
(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
7.0ms
(- (sqrt (+ t 1.0)) (sqrt t))
5.0ms
(+ z (- 1.0 z))
9.0ms
(- (sqrt (+ y 1.0)) (sqrt y))

series29.0ms

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

simplify65.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0725926
13068869
25001852

prune230.0ms

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

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1071108
Fresh21012
Picked101
Done000
Total11011121

Merged error: 1.7b

Counts
121 → 11

regimes1.3s

Accuracy

0% (0.8b remaining)

Error of 3.0b against oracle of 2.2b and baseline of 3.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03521
13521

end0.0ms

sample13.0s

Algorithm
intervals
Results
7.3s77428×body80nan
2.0s5264×body640valid
440.0ms1537×body320valid
91.0ms475×body160valid
66.0ms136×body1280valid
55.0ms588×body80valid

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