Details

Time bar (total: 3.9s)

sample36.0ms

Algorithm
intervals
Results
19.0ms541×body80valid

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.8b

Counts
2 → 1

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) (* (* y 4.0) (- (* z z) t)))
7.3b
(* (* y 4.0) (- (* z z) t))

rewrite13.0ms

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

series133.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
58.0ms
(* (* y 4.0) (- (* z z) t))

simplify40.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0269322
11276286
25001281

prune83.0ms

Filtered
47 candidates to 29 candidates (61.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New43447
Fresh000
Picked011
Done000
Total43548

Merged error: 3.2b

Counts
48 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* y 4.0) (sqrt (- (* z z) t)))
0.1b
(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
7.3b
(sqrt (- (* z z) t))
7.3b
(sqrt (- (* z z) t))

rewrite37.0ms

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:
10.0ms
(* (* y 4.0) (sqrt (- (* z z) t)))
16.0ms
(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
4.0ms
(sqrt (- (* z z) t))
4.0ms
(sqrt (- (* z z) t))

series227.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(* (* y 4.0) (sqrt (- (* z z) t)))
64.0ms
(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
44.0ms
(sqrt (- (* z z) t))
49.0ms
(sqrt (- (* z z) t))

simplify54.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0372769
11759649
25001641

prune225.0ms

Filtered
101 candidates to 69 candidates (68.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1010101
Fresh033
Picked011
Done011
Total1015106

Merged error: 3.2b

Counts
106 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

7.3b
(* (* y 4.0) (- (* z z) t))
7.3b
(* (* y 4.0) (- (* z z) t))
7.3b
(* (* y 4.0) (- (* z z) t))
28.1b
(/ (+ (neg (* (* (* y 4.0) (- (* z z) t)) (* (* y 4.0) (- (* z z) t)))) (pow x 4)) (+ (* x x) (* (* y 4.0) (- (* z z) t))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
21×add-exp-log add-cbrt-cube
19×pow1 add-sqr-sqrt
16×add-cube-cbrt
12×times-frac associate-*r*
9×pow-prod-down prod-exp cbrt-unprod
6×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
4×distribute-lft-out associate-/l* add-log-exp
3×flip3-- associate-*l* associate-/r* *-commutative flip-- difference-of-squares
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×cbrt-undiv neg-sub0 associate-+l- frac-2neg div-sub div-exp clear-num div-inv
Counts
4 → 111
Calls
4 calls:
8.0ms
(* (* y 4.0) (- (* z z) t))
8.0ms
(* (* y 4.0) (- (* z z) t))
8.0ms
(* (* y 4.0) (- (* z z) t))
20.0ms
(/ (+ (neg (* (* (* y 4.0) (- (* z z) t)) (* (* y 4.0) (- (* z z) t)))) (pow x 4)) (+ (* x x) (* (* y 4.0) (- (* z z) t))))

series554.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* (* y 4.0) (- (* z z) t))
58.0ms
(* (* y 4.0) (- (* z z) t))
63.0ms
(* (* y 4.0) (- (* z z) t))
369.0ms
(/ (+ (neg (* (* (* y 4.0) (- (* z z) t)) (* (* y 4.0) (- (* z z) t)))) (pow x 4)) (+ (* x x) (* (* y 4.0) (- (* z z) t))))

simplify106.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
03921532
120351364
250031325

prune257.0ms

Filtered
123 candidates to 77 candidates (62.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1221123
Fresh022
Picked011
Done022
Total1226128

Merged error: 3.2b

Counts
128 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* (* (* y 4.0) (+ z (sqrt t))) (- z (sqrt t))))
0.0b
(- z (sqrt t))
0.1b
(* (* y 4.0) (+ z (sqrt t)))
0.1b
(* (* (* y 4.0) (+ z (sqrt t))) (- z (sqrt t)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
14×add-sqr-sqrt
12×*-un-lft-identity
10×associate-*r/ associate-*r*
9×pow-prod-down prod-exp cbrt-unprod
8×add-log-exp
6×add-cube-cbrt sub-neg
5×distribute-rgt-in flip3-- distribute-lft-in flip--
4×frac-times flip3-+ flip-+ associate--r+ difference-of-squares
2×diff-log associate-*l* associate-*l/ sqrt-prod *-commutative distribute-lft-out--
1×distribute-lft-out
Counts
4 → 90
Calls
4 calls:
4.0ms
(- (* x x) (* (* (* y 4.0) (+ z (sqrt t))) (- z (sqrt t))))
4.0ms
(- z (sqrt t))
8.0ms
(* (* y 4.0) (+ z (sqrt t)))
18.0ms
(* (* (* y 4.0) (+ z (sqrt t))) (- z (sqrt t)))

series264.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(- (* x x) (* (* (* y 4.0) (+ z (sqrt t))) (- z (sqrt t))))
35.0ms
(- z (sqrt t))
51.0ms
(* (* y 4.0) (+ z (sqrt t)))
94.0ms
(* (* (* y 4.0) (+ z (sqrt t))) (- z (sqrt t)))

simplify88.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
0522859
13087717
25001708

prune197.0ms

Filtered
102 candidates to 68 candidates (66.7%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1011102
Fresh022
Picked011
Done033
Total1017108

Merged error: 3.2b

Counts
108 → 7

regimes415.0ms

Accuracy

74% (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

sample974.0ms

Algorithm
intervals
Results
577.0ms15912×body80valid

Profiling

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