Details

Time bar (total: 3.4s)

analyze693.0ms (20.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
6.2%93.6%0.2%9
6.2%82.7%11.1%10
12.5%73.7%13.8%11
15.6%59.5%25%12
17.9%53.3%28.8%13
22.4%47.2%30.4%14

sample26.0ms (0.7%)

Algorithm
intervals
Results
10.0ms256×body80valid
3.0ms92×body80invalid

simplify28.0ms (0.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
072013
172013

prune7.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 5.3b

Counts
2 → 1

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) (* (* y 4.0) (- (* z z) t)))
0.0b
(- (* z z) t)
5.0b
(* (* y 4.0) (- (* z z) t))

rewrite18.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-log-exp
add-sqr-sqrt sub-neg
add-cube-cbrt *-un-lft-identity associate-*r*
flip3-- pow-prod-down prod-exp flip-- cbrt-unprod
distribute-rgt-in distribute-lft-in diff-log associate-*r/ associate--r+ difference-of-squares
associate-*l* *-commutative
Counts
3 → 48
Calls

3 calls:

8.0ms
(* (* y 4.0) (- (* z z) t))
4.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
4.0ms
(- (* z z) t)

series39.0ms (1.1%)

Counts
3 → 9
Calls

3 calls:

19.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
16.0ms
(* (* y 4.0) (- (* z z) t))
4.0ms
(- (* z z) t)

simplify43.0ms (1.2%)

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04982631
14982631

prune95.0ms (2.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New52557
Fresh000
Picked011
Done000
Total52658

Merged error: 2.7b

Counts
58 → 6

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.7b
(* y (* 4.0 (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t)))))
5.6b
(cbrt (- (* z z) t))
5.6b
(cbrt (- (* z z) t))
5.6b
(cbrt (- (* z z) t))

rewrite30.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
18×cbrt-div associate-*r/
13×pow1 add-exp-log
12×cbrt-prod
11×add-sqr-sqrt add-cbrt-cube
flip3-- flip--
add-cube-cbrt *-un-lft-identity
pow-prod-down prod-exp cbrt-unprod
frac-times add-log-exp
pow1/3 associate-*l* difference-of-squares
associate-*l/
associate-*r* *-commutative
Counts
4 → 71
Calls

4 calls:

16.0ms
(* y (* 4.0 (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t)))))
4.0ms
(cbrt (- (* z z) t))
4.0ms
(cbrt (- (* z z) t))
4.0ms
(cbrt (- (* z z) t))

series80.0ms (2.3%)

Counts
4 → 12
Calls

4 calls:

28.0ms
(* y (* 4.0 (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t)))))
19.0ms
(cbrt (- (* z z) t))
17.0ms
(cbrt (- (* z z) t))
17.0ms
(cbrt (- (* z z) t))

simplify54.0ms (1.6%)

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04971927
14971927

prune136.0ms (4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New82183
Fresh044
Picked011
Done011
Total82789

Merged error: 2.7b

Counts
89 → 7

localize19.0ms (0.6%)

Local error

Found 4 expressions with local error:

5.6b
(cbrt (- (* z z) t))
5.6b
(cbrt (- (* z z) t))
5.6b
(cbrt (- (* z z) t))
5.6b
(cbrt (- (* z z) t))

rewrite18.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
12×add-sqr-sqrt
add-cube-cbrt cbrt-div *-un-lft-identity
pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- add-log-exp difference-of-squares
Counts
4 → 56
Calls

4 calls:

4.0ms
(cbrt (- (* z z) t))
4.0ms
(cbrt (- (* z z) t))
4.0ms
(cbrt (- (* z z) t))
4.0ms
(cbrt (- (* z z) t))

series68.0ms (2%)

Counts
4 → 12
Calls

4 calls:

18.0ms
(cbrt (- (* z z) t))
16.0ms
(cbrt (- (* z z) t))
16.0ms
(cbrt (- (* z z) t))
16.0ms
(cbrt (- (* z z) t))

simplify59.0ms (1.7%)

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04868648
14868648

prune134.0ms (3.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New68068
Fresh044
Picked011
Done022
Total68775

Merged error: 2.7b

Counts
75 → 7

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b
(* y (* 4.0 (sqrt (- (* z z) t))))
0.2b
(* (* y (* 4.0 (sqrt (- (* z z) t)))) (sqrt (- (* z z) t)))
5.0b
(sqrt (- (* z z) t))
5.0b
(sqrt (- (* z z) t))

rewrite36.0ms (1%)

Algorithm
rewrite-expression-head
Rules
20×pow1
18×add-exp-log sqrt-div associate-*r/ add-cbrt-cube
14×add-sqr-sqrt
12×sqrt-prod
add-cube-cbrt flip3-- *-un-lft-identity pow-prod-down prod-exp flip-- cbrt-unprod
associate-*r*
frac-times associate-*l* add-log-exp
difference-of-squares
rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative
Counts
4 → 85
Calls

4 calls:

15.0ms
(* (* y (* 4.0 (sqrt (- (* z z) t)))) (sqrt (- (* z z) t)))
9.0ms
(* y (* 4.0 (sqrt (- (* z z) t))))
6.0ms
(sqrt (- (* z z) t))
4.0ms
(sqrt (- (* z z) t))

series38.0ms (1.1%)

Counts
4 → 12
Calls

4 calls:

14.0ms
(* y (* 4.0 (sqrt (- (* z z) t))))
12.0ms
(* (* y (* 4.0 (sqrt (- (* z z) t)))) (sqrt (- (* z z) t)))
6.0ms
(sqrt (- (* z z) t))
6.0ms
(sqrt (- (* z z) t))

simplify40.0ms (1.2%)

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
051171084

prune125.0ms (3.6%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New97097
Fresh033
Picked011
Done033
Total977104

Merged error: 2.7b

Counts
104 → 7

regimes898.0ms (26.2%)

Accuracy

Total 0.6b remaining (17.3%)

Threshold costs 0.6b (17.3%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
035936
135936

end0.0ms (0%)

sample713.0ms (20.8%)

Algorithm
intervals
Results
320.0ms8000×body80valid
116.0ms3014×body80invalid

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