Details

Time bar (total: 4.6s)

sample41.0ms

Algorithm
intervals
Results
16.0ms469×body80valid

simplify74.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune4.0ms

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: 6.6b

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)))
6.1b
(* (* 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))

series40.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(- (* z z) t)
21.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
16.0ms
(* (* y 4.0) (- (* z z) t))

simplify42.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0292385
11348342
25001337

prune170.0ms

Filtered
63 candidates to 41 candidates (34.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New58563
Fresh000
Picked011
Done000
Total58664

Merged error: 1.7b

Counts
64 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

1.9b
(cbrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
6.1b
(* (* y 4.0) (- (* z z) t))
6.1b
(* (* y 4.0) (- (* z z) t))
6.1b
(* (* y 4.0) (- (* z z) t))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
19×pow1 add-exp-log add-cbrt-cube
12×associate-*r*
11×add-sqr-sqrt
9×pow-prod-down prod-exp cbrt-unprod
8×add-cube-cbrt *-un-lft-identity
6×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
4×flip3-- flip-- add-log-exp
3×cbrt-prod associate-*l* *-commutative difference-of-squares
2×cbrt-div
1×pow1/3
Counts
4 → 88
Calls
4 calls:
3.0ms
(cbrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
8.0ms
(* (* y 4.0) (- (* z z) t))
8.0ms
(* (* y 4.0) (- (* z z) t))
8.0ms
(* (* y 4.0) (- (* z z) t))

series84.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(cbrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
15.0ms
(* (* y 4.0) (- (* z z) t))
13.0ms
(* (* y 4.0) (- (* z z) t))
13.0ms
(* (* y 4.0) (- (* z z) t))

simplify45.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0330681
11372606
25001596

prune339.0ms

Filtered
100 candidates to 62 candidates (38.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New982100
Fresh044
Picked101
Done011
Total997106

Merged error: 1.7b

Counts
106 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

6.1b
(* (* y 4.0) (- (* z z) t))
6.1b
(* (* y 4.0) (- (* z z) t))
6.1b
(* (* y 4.0) (- (* z z) t))
6.1b
(* (* y 4.0) (- (* z z) t))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
24×pow1 add-exp-log add-cbrt-cube
16×associate-*r*
12×add-sqr-sqrt pow-prod-down prod-exp cbrt-unprod
8×distribute-rgt-in add-cube-cbrt sub-neg *-un-lft-identity distribute-lft-in associate-*r/
4×flip3-- associate-*l* *-commutative flip-- add-log-exp difference-of-squares
Counts
4 → 100
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))
8.0ms
(* (* y 4.0) (- (* z z) t))

series54.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* (* y 4.0) (- (* z z) t))
16.0ms
(* (* y 4.0) (- (* z z) t))
13.0ms
(* (* y 4.0) (- (* z z) t))
13.0ms
(* (* y 4.0) (- (* z z) t))

simplify37.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0191660
1916544
25002540

prune605.0ms

Filtered
112 candidates to 64 candidates (42.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1120112
Fresh055
Picked011
Done011
Total1127119

Merged error: 1.7b

Counts
119 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* (* y 4.0) (/ (+ (neg (* t t)) (pow z 4)) (+ (* z z) t))))
2.3b
(+ (neg (* t t)) (pow z 4))
6.1b
(* (* y 4.0) (/ (+ (neg (* t t)) (pow z 4)) (+ (* z z) t)))
27.4b
(/ (+ (neg (* t t)) (pow z 4)) (+ (* z z) t))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
24×times-frac
21×add-sqr-sqrt add-cube-cbrt
18×add-exp-log associate-*r* add-cbrt-cube
10×add-log-exp
9×pow1
8×distribute-lft-out
6×prod-exp cbrt-unprod
4×flip3-+ associate-/r/ flip-+ associate-/l*
3×cbrt-undiv div-exp pow-prod-down associate-/r*
2×neg-sub0 associate-+l- sum-log div-inv associate-/l/
1×+-commutative sub-neg flip3-- frac-2neg diff-log div-sub associate-*r/ associate-*l* neg-log clear-num *-commutative flip--
Counts
4 → 100
Calls
4 calls:
3.0ms
(- (* x x) (* (* y 4.0) (/ (+ (neg (* t t)) (pow z 4)) (+ (* z z) t))))
6.0ms
(+ (neg (* t t)) (pow z 4))
16.0ms
(* (* y 4.0) (/ (+ (neg (* t t)) (pow z 4)) (+ (* z z) t)))
11.0ms
(/ (+ (neg (* t t)) (pow z 4)) (+ (* z z) t))

series136.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(- (* x x) (* (* y 4.0) (/ (+ (neg (* t t)) (pow z 4)) (+ (* z z) t))))
10.0ms
(+ (neg (* t t)) (pow z 4))
41.0ms
(* (* y 4.0) (/ (+ (neg (* t t)) (pow z 4)) (+ (* z z) t)))
16.0ms
(/ (+ (neg (* t t)) (pow z 4)) (+ (* z z) t))

simplify86.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
05061228
129091037
250011022

prune523.0ms

Filtered
112 candidates to 79 candidates (29.5%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1102112
Fresh224
Picked011
Done022
Total1127119

Merged error: 1.7b

Counts
119 → 7

regimes1.0s

Accuracy

79.1% (0.7b remaining)

Error of 3.2b against oracle of 2.5b and baseline of 5.9b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02516
12516

end0.0ms

sample1.2s

Algorithm
intervals
Results
526.0ms15806×body80valid

Profiling

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