Details

Time bar (total: 3.4s)

sample48.0ms

Algorithm
intervals
Results
19.0ms511×body80valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0196
1506
21596
33516
46096
57336
610686
713426
815066
915536
1015536

prune3.0ms

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: 4.1b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* z z) t)
0.0b
(- (* x x) (* (* y 4.0) (- (* z z) t)))
3.8b
(* (* y 4.0) (- (* z z) t))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
8×pow1 add-exp-log add-cbrt-cube
7×add-log-exp
6×add-sqr-sqrt sub-neg
4×distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in associate-*r* associate--r+
3×flip3-- pow-prod-down prod-exp flip-- cbrt-unprod
2×diff-log associate-*r/ difference-of-squares
1×associate-*l* *-commutative
Counts
3 → 54
Calls
3 calls:
4.0ms
(- (* z z) t)
4.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
7.0ms
(* (* y 4.0) (- (* z z) t))

series38.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(- (* z z) t)
22.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
12.0ms
(* (* y 4.0) (- (* z z) t))

simplify40.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0292385
11348342
25001337

prune72.0ms

Filtered
63 candidates to 41 candidates (34.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New59463
Fresh000
Picked011
Done000
Total59564

Merged error: 1.3b

Counts
64 → 5

localize11.0ms

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)))
3.8b
(sqrt (- (* z z) t))
3.8b
(sqrt (- (* z z) t))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1
18×add-exp-log sqrt-div add-cbrt-cube
16×add-sqr-sqrt sqrt-prod
14×associate-*r*
10×add-cube-cbrt *-un-lft-identity associate-*r/
9×flip3-- pow-prod-down prod-exp flip-- cbrt-unprod
4×frac-times add-log-exp difference-of-squares
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l* associate-*l/ *-commutative
Counts
4 → 89
Calls
4 calls:
11.0ms
(* (* y 4.0) (sqrt (- (* z z) t)))
14.0ms
(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
4.0ms
(sqrt (- (* z z) t))
4.0ms
(sqrt (- (* z z) t))

series38.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* (* y 4.0) (sqrt (- (* z z) t)))
13.0ms
(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
6.0ms
(sqrt (- (* z z) t))
6.0ms
(sqrt (- (* z z) t))

simplify52.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0370767
11766653
25002647

prune111.0ms

Filtered
101 candidates to 69 candidates (31.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New992101
Fresh033
Picked011
Done011
Total997106

Merged error: 1.3b

Counts
106 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

2.8b
(* (* y 4.0) (* (sqrt (- (* z z) t)) (fabs (cbrt (- (* z z) t)))))
3.8b
(sqrt (- (* z z) t))
4.4b
(cbrt (- (* z z) t))
4.4b
(cbrt (- (* z z) t))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1
16×add-exp-log add-cbrt-cube
11×add-sqr-sqrt
8×cbrt-prod pow-prod-down prod-exp cbrt-unprod
7×add-cube-cbrt *-un-lft-identity
4×cbrt-div flip3-- sqrt-div sqrt-prod flip-- add-log-exp
3×difference-of-squares
2×pow1/3 associate-*r/ associate-*l/
1×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r* associate-*l* *-commutative
Counts
4 → 68
Calls
4 calls:
13.0ms
(* (* y 4.0) (* (sqrt (- (* z z) t)) (fabs (cbrt (- (* z z) t)))))
4.0ms
(sqrt (- (* z z) t))
4.0ms
(cbrt (- (* z z) t))
4.0ms
(cbrt (- (* z z) t))

series69.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (* y 4.0) (* (sqrt (- (* z z) t)) (fabs (cbrt (- (* z z) t)))))
6.0ms
(sqrt (- (* z z) t))
17.0ms
(cbrt (- (* z z) t))
17.0ms
(cbrt (- (* z z) t))

simplify47.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0376711
11386615
25001603

prune113.0ms

Filtered
80 candidates to 64 candidates (20.0%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New80080
Fresh044
Picked011
Done022
Total80787

Merged error: 1.3b

Counts
87 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* y (* 4.0 (fabs (cbrt (- (* z z) t)))))
3.8b
(sqrt (- (* z z) t))
4.4b
(cbrt (- (* z z) t))
4.4b
(cbrt (- (* z z) t))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×pow1
9×add-exp-log add-cbrt-cube
8×cbrt-prod add-cube-cbrt *-un-lft-identity
4×cbrt-div sqrt-prod add-log-exp
3×flip3-- associate-*l* pow-prod-down prod-exp flip-- cbrt-unprod difference-of-squares
2×pow1/3 sqrt-div
1×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r* *-commutative
Counts
4 → 62
Calls
4 calls:
5.0ms
(* y (* 4.0 (fabs (cbrt (- (* z z) t)))))
4.0ms
(sqrt (- (* z z) t))
4.0ms
(cbrt (- (* z z) t))
4.0ms
(cbrt (- (* z z) t))

series52.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* y (* 4.0 (fabs (cbrt (- (* z z) t)))))
7.0ms
(sqrt (- (* z z) t))
17.0ms
(cbrt (- (* z z) t))
17.0ms
(cbrt (- (* z z) t))

simplify95.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
0298518
1988463
23581450
35002433

prune95.0ms

Filtered
74 candidates to 62 candidates (16.2%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New74074
Fresh033
Picked011
Done033
Total74781

Merged error: 1.3b

Counts
81 → 7

regimes1.1s

Accuracy

83.9% (0.5b remaining)

Error of 3.1b against oracle of 2.6b and baseline of 5.8b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02516
12516

end0.0ms

sample1.3s

Algorithm
intervals
Results
591.0ms15773×body80valid

Profiling

Loading profile data...