Details

Time bar (total: 4.4s)

sample48.0ms

Algorithm
intervals
Results
31.0ms519×body80valid

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) (* (* y 4.0) (- (* z z) t)))
6.7b
(* (* y 4.0) (- (* z z) t))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×sub-neg
4×distribute-rgt-in add-sqr-sqrt distribute-lft-in associate-*r* associate--r+ add-log-exp
3×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
2×flip3-- associate-*r/ flip--
1×diff-log associate-*l* *-commutative difference-of-squares
Counts
2 → 41
Calls
2 calls:
3.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
14.0ms
(* (* y 4.0) (- (* z z) t))

series134.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
59.0ms
(* (* y 4.0) (- (* z z) t))

simplify40.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0269322
11276286
25001281

prune95.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 3.9b

localize11.0ms

Local error

Found 4 expressions with local error:

2.5b
(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
2.5b
(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
6.7b
(* (* y 4.0) (- (* z z) t))
6.7b
(* (* y 4.0) (- (* z z) t))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1
14×add-exp-log add-cbrt-cube
12×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity associate-*r*
6×pow-prod-down prod-exp sqrt-prod cbrt-unprod
4×distribute-rgt-in sub-neg flip3-- distribute-lft-in sqrt-div associate-*r/ flip-- add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l* *-commutative difference-of-squares
Counts
4 → 80
Calls
4 calls:
6.0ms
(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
4.0ms
(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
14.0ms
(* (* y 4.0) (- (* z z) t))
15.0ms
(* (* y 4.0) (- (* z z) t))

series389.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
131.0ms
(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
62.0ms
(* (* y 4.0) (- (* z z) t))
60.0ms
(* (* y 4.0) (- (* z z) t))

simplify43.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0270654
11170602
25002598

prune227.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 3.9b

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)))
6.6b
(sqrt (- (* z z) t))
6.6b
(sqrt (- (* z z) t))

rewrite77.0ms

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:
16.0ms
(* (* y 4.0) (sqrt (- (* z z) t)))
46.0ms
(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
7.0ms
(sqrt (- (* z z) t))
5.0ms
(sqrt (- (* z z) t))

series223.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* (* y 4.0) (sqrt (- (* z z) t)))
63.0ms
(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
44.0ms
(sqrt (- (* z z) t))
49.0ms
(sqrt (- (* z z) t))

simplify53.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0372769
11759649
25001641

prune250.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 3.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (sqrt (- (* z z) t)))) (sqrt (sqrt (- (* z z) t))))
6.6b
(sqrt (- (* z z) t))
6.6b
(sqrt (- (* z z) t))
6.6b
(sqrt (- (* z z) t))

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
96×sqrt-div
30×flip3-- flip--
28×frac-times
26×associate-*r/
23×sqrt-prod
21×pow1
18×add-exp-log add-cbrt-cube
17×add-sqr-sqrt
14×associate-*l/
10×add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
4×add-log-exp difference-of-squares
3×rem-sqrt-square sqrt-pow1 pow1/2
1×associate-*l* *-commutative
Counts
4 → 105
Calls
4 calls:
170.0ms
(* (* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (sqrt (- (* z z) t)))) (sqrt (sqrt (- (* z z) t))))
5.0ms
(sqrt (- (* z z) t))
5.0ms
(sqrt (- (* z z) t))
5.0ms
(sqrt (- (* z z) t))

series204.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (sqrt (- (* z z) t)))) (sqrt (sqrt (- (* z z) t))))
48.0ms
(sqrt (- (* z z) t))
48.0ms
(sqrt (- (* z z) t))
46.0ms
(sqrt (- (* z z) t))

simplify70.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05111577
121661292
250011167

prune364.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 3.9b

regimes371.0ms

Accuracy

74.5% (0.9b remaining)

Error of 3.5b against oracle of 2.6b and baseline of 6.1b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02516
12516

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.0s15852×body80valid