Details

Time bar (total: 10.9s)

sample541.0ms

Algorithm
intervals
Results
296.0ms3473×body80nan
59.0ms163×body640valid
12.0ms46×body320valid
3.0ms7×body1280valid
2.0ms14×body160valid
2.0ms26×body80valid

simplify25.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05119
115619
290719
3500119

prune7.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.2b

Counts
2 → 1

localize26.0ms

Local error

Found 4 expressions with local error:

2.1b
(- (sqrt (+ y 1.0)) (sqrt y))
2.8b
(- (sqrt (+ z 1.0)) (sqrt z))
2.8b
(- (sqrt (+ t 1.0)) (sqrt t))
3.3b
(- (sqrt (+ x 1.0)) (sqrt x))

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:
8.0ms
(- (sqrt (+ y 1.0)) (sqrt y))
7.0ms
(- (sqrt (+ z 1.0)) (sqrt z))
7.0ms
(- (sqrt (+ t 1.0)) (sqrt t))
8.0ms
(- (sqrt (+ x 1.0)) (sqrt x))

series863.0ms

Counts
4 → 12
Calls
4 calls:
218.0ms
(- (sqrt (+ y 1.0)) (sqrt y))
214.0ms
(- (sqrt (+ z 1.0)) (sqrt z))
215.0ms
(- (sqrt (+ t 1.0)) (sqrt t))
216.0ms
(- (sqrt (+ x 1.0)) (sqrt x))

simplify64.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0692864
12941824
25003824

prune782.0ms

Filtered
88 candidates to 60 candidates (31.8%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New80888
Fresh000
Picked101
Done000
Total81889

Merged error: 4.0b

Counts
89 → 8

localize25.0ms

Local error

Found 4 expressions with local error:

1.7b
(+ z (- 1.0 z))
2.1b
(- (sqrt (+ y 1.0)) (sqrt y))
2.8b
(- (sqrt (+ t 1.0)) (sqrt t))
3.3b
(- (sqrt (+ x 1.0)) (sqrt x))

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
(+ z (- 1.0 z))
9.0ms
(- (sqrt (+ y 1.0)) (sqrt y))
7.0ms
(- (sqrt (+ t 1.0)) (sqrt t))
8.0ms
(- (sqrt (+ x 1.0)) (sqrt x))

series648.0ms

Counts
4 → 12
Calls
4 calls:
1.0ms
(+ z (- 1.0 z))
217.0ms
(- (sqrt (+ y 1.0)) (sqrt y))
213.0ms
(- (sqrt (+ t 1.0)) (sqrt t))
217.0ms
(- (sqrt (+ x 1.0)) (sqrt x))

simplify58.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0601708
12432673
25001673

prune708.0ms

Filtered
86 candidates to 59 candidates (31.4%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New82486
Fresh257
Picked101
Done000
Total85994

Merged error: 2.9b

Counts
94 → 9

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
2.1b
(- (sqrt (+ y 1.0)) (sqrt y))
2.8b
(- (sqrt (+ t 1.0)) (sqrt t))
3.3b
(- (sqrt (+ x 1.0)) (sqrt x))

rewrite37.0ms

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 (+ z 1.0)) (sqrt z)))
7.0ms
(- (sqrt (+ y 1.0)) (sqrt y))
9.0ms
(- (sqrt (+ t 1.0)) (sqrt t))
8.0ms
(- (sqrt (+ x 1.0)) (sqrt x))

series888.0ms

Counts
4 → 12
Calls
4 calls:
243.0ms
(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
217.0ms
(- (sqrt (+ y 1.0)) (sqrt y))
214.0ms
(- (sqrt (+ t 1.0)) (sqrt t))
214.0ms
(- (sqrt (+ x 1.0)) (sqrt x))

simplify77.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
08131082
135731020
250021003

prune1.2s

Filtered
110 candidates to 72 candidates (34.5%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1073110
Fresh178
Picked101
Done000
Total10910119

Merged error: 2.9b

Counts
119 → 10

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
2.1b
(- (sqrt (+ y 1.0)) (sqrt y))
2.8b
(- (sqrt (+ t 1.0)) (sqrt t))
3.3b
(- (sqrt (+ x 1.0)) (sqrt x))

rewrite37.0ms

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 (+ z 1.0)) (sqrt z)))
7.0ms
(- (sqrt (+ y 1.0)) (sqrt y))
7.0ms
(- (sqrt (+ t 1.0)) (sqrt t))
10.0ms
(- (sqrt (+ x 1.0)) (sqrt x))

series889.0ms

Counts
4 → 12
Calls
4 calls:
241.0ms
(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
214.0ms
(- (sqrt (+ y 1.0)) (sqrt y))
217.0ms
(- (sqrt (+ t 1.0)) (sqrt t))
217.0ms
(- (sqrt (+ x 1.0)) (sqrt x))

simplify78.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
08131082
135731020
250021003

prune1.0s

Filtered
110 candidates to 72 candidates (34.5%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1100110
Fresh099
Picked011
Done000
Total11010120

Merged error: 2.9b

Counts
120 → 10

regimes1.4s

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03622
13622

end0.0ms

sample1.5s

Algorithm
intervals
Results
840.0ms9623×body80nan
155.0ms422×body640valid
34.0ms131×body320valid
9.0ms44×body160valid
6.0ms70×body80valid
5.0ms11×body1280valid

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