Details

Time bar (total: 8.3s)

analyze259.0ms

Algorithm
search

sample136.0ms

Algorithm
intervals
Results
66.0ms177×body640valid
29.0ms298×body80nan
13.0ms48×body320valid
3.0ms16×body160valid
2.0ms4×body1280valid
1.0ms11×body80valid

simplify27.0ms

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: 5.6b

Counts
2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

2.3b
(- (sqrt (+ x 1.0)) (sqrt x))
3.6b
(- (sqrt (+ t 1.0)) (sqrt t))
3.7b
(- (sqrt (+ y 1.0)) (sqrt y))
4.0b
(- (sqrt (+ z 1.0)) (sqrt z))

rewrite32.0ms

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 (+ x 1.0)) (sqrt x))
7.0ms
(- (sqrt (+ t 1.0)) (sqrt t))
7.0ms
(- (sqrt (+ y 1.0)) (sqrt y))
7.0ms
(- (sqrt (+ z 1.0)) (sqrt z))

series40.0ms

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

simplify63.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0692864
12941824
25001824

prune296.0ms

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

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New751388
Fresh000
Picked101
Done000
Total761389

Merged error: 5.0b

Counts
89 → 13

localize25.0ms

Local error

Found 4 expressions with local error:

2.3b
(- (sqrt (+ x 1.0)) (sqrt x))
2.9b
(+ t (- 1.0 t))
3.7b
(- (sqrt (+ y 1.0)) (sqrt y))
4.0b
(- (sqrt (+ z 1.0)) (sqrt z))

rewrite29.0ms

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

series31.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(- (sqrt (+ x 1.0)) (sqrt x))
1.0ms
(+ t (- 1.0 t))
10.0ms
(- (sqrt (+ y 1.0)) (sqrt y))
11.0ms
(- (sqrt (+ z 1.0)) (sqrt z))

simplify56.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0601708
12432673
25001673

prune289.0ms

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

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New82486
Fresh11112
Picked101
Done000
Total841599

Merged error: 3.7b

Counts
99 → 15

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
2.3b
(- (sqrt (+ x 1.0)) (sqrt x))
3.7b
(- (sqrt (+ y 1.0)) (sqrt y))
4.0b
(- (sqrt (+ z 1.0)) (sqrt z))

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 (+ t 1.0)) (sqrt t)))
8.0ms
(- (sqrt (+ x 1.0)) (sqrt x))
8.0ms
(- (sqrt (+ y 1.0)) (sqrt y))
9.0ms
(- (sqrt (+ z 1.0)) (sqrt z))

series38.0ms

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

simplify81.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
08141082
135941022
250011005

prune360.0ms

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

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New1046110
Fresh41014
Picked101
Done000
Total10916125

Merged error: 3.7b

Counts
125 → 16

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
2.3b
(- (sqrt (+ x 1.0)) (sqrt x))
3.2b
(+ y (- 1.0 y))
4.0b
(- (sqrt (+ z 1.0)) (sqrt z))

rewrite33.0ms

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

series29.0ms

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

simplify70.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0726926
13077871
25002854

prune242.0ms

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

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New1062108
Fresh11415
Picked101
Done000
Total10816124

Merged error: 2.4b

Counts
124 → 16

regimes1.9s

Accuracy

0% (0.8b remaining)

Error of 2.8b against oracle of 1.9b and baseline of 2.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03521
13521

end0.0ms

analyze252.0ms

Algorithm
search

sample3.9s

Algorithm
intervals
Results
2.0s5212×body640valid
893.0ms9504×body80nan
453.0ms1599×body320valid
90.0ms464×body160valid
65.0ms137×body1280valid
58.0ms588×body80valid

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