Details

Time bar (total: 3.1s)

sample52.0ms

Algorithm
intervals
Results
24.0ms534×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (9.0ms)

IterNodesCost
033313
133313

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 3.8b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* z z) t)
0.0b
(- (* x x) (* (* y 4.0) (- (* z z) t)))
3.6b
(* (* 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)))
8.0ms
(* (* y 4.0) (- (* z z) t))

series39.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(- (* z z) t)
22.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
13.0ms
(* (* y 4.0) (- (* z z) t))

simplify39.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05051690

prune80.0ms

Filtered
41 candidates to 63 candidates (-53.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New57663
Fresh000
Picked011
Done000
Total57764

Merged error: 2.1b

Counts
64 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

1.2b
(* y (* 4.0 (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t)))))
4.1b
(cbrt (- (* z z) t))
4.1b
(cbrt (- (* z z) t))
4.1b
(cbrt (- (* z z) t))

rewrite32.0ms

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
9×flip3-- flip--
8×add-cube-cbrt *-un-lft-identity
6×pow-prod-down prod-exp cbrt-unprod
4×frac-times add-log-exp
3×pow1/3 associate-*l* difference-of-squares
2×associate-*l/
1×associate-*r* *-commutative
Counts
4 → 71
Calls
4 calls:
18.0ms
(* 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

Counts
4 → 12
Calls
4 calls:
30.0ms
(* y (* 4.0 (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t)))))
17.0ms
(cbrt (- (* z z) t))
16.0ms
(cbrt (- (* z z) t))
17.0ms
(cbrt (- (* z z) t))

simplify37.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
05040924

prune115.0ms

Filtered
63 candidates to 83 candidates (-31.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New82183
Fresh055
Picked011
Done011
Total82890

Merged error: 2.1b

Counts
90 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

4.1b
(cbrt (- (* z z) t))
4.1b
(cbrt (- (* z z) t))
4.1b
(cbrt (- (* z z) t))
4.1b
(cbrt (- (* z z) t))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
12×add-sqr-sqrt
8×add-cube-cbrt cbrt-div *-un-lft-identity
4×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))

series70.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(cbrt (- (* z z) t))
19.0ms
(cbrt (- (* z z) t))
17.0ms
(cbrt (- (* z z) t))
17.0ms
(cbrt (- (* z z) t))

simplify44.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04906648
14906648

prune121.0ms

Filtered
56 candidates to 68 candidates (-21.4%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New68068
Fresh055
Picked011
Done022
Total68876

Merged error: 2.1b

Counts
76 → 8

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)))
3.6b
(sqrt (- (* z z) t))
3.6b
(sqrt (- (* z z) t))

rewrite36.0ms

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
9×add-cube-cbrt flip3-- *-un-lft-identity pow-prod-down prod-exp flip-- cbrt-unprod
8×associate-*r*
4×frac-times associate-*l* add-log-exp
3×difference-of-squares
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative
Counts
4 → 85
Calls
4 calls:
11.0ms
(* y (* 4.0 (sqrt (- (* z z) t))))
15.0ms
(* (* y (* 4.0 (sqrt (- (* z z) t)))) (sqrt (- (* z z) t)))
4.0ms
(sqrt (- (* z z) t))
4.0ms
(sqrt (- (* z z) t))

series37.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* 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))

simplify51.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049981084
149981084

prune96.0ms

Filtered
72 candidates to 97 candidates (-34.7%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New96197
Fresh134
Picked011
Done123
Total987105

Merged error: 2.1b

Counts
105 → 7

regimes808.0ms

Accuracy

75% (0.9b remaining)

Error of 3.6b against oracle of 2.7b and baseline of 6.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02736
12736

end0.0ms

sample1.3s

Algorithm
intervals
Results
610.0ms15694×body80valid

Profiling

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