Details

Time bar (total: 3.4s)

sample47.0ms

Algorithm
intervals
Results
18.0ms492×body80valid

simplify27.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
072013
172013

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: 7.1b

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

rewrite19.0ms

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)))
9.0ms
(* (* y 4.0) (- (* z z) t))

series38.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(- (* z z) t)
21.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
14.0ms
(* (* y 4.0) (- (* z z) t))

simplify44.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04982690
14982690

prune96.0ms

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

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New55863
Fresh000
Picked011
Done000
Total55964

Merged error: 3.5b

Counts
64 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* y (* 4.0 (* z z))) (* y (* 4.0 (neg t))))
0.0b
(* 4.0 (* z z))
0.2b
(* y (* 4.0 (neg t)))
9.7b
(* y (* 4.0 (* z z)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1 add-exp-log add-cbrt-cube
12×pow-prod-down prod-exp cbrt-unprod
9×associate-*l*
8×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×distribute-rgt-neg-out add-log-exp
3×associate-*r* *-commutative
1×+-commutative flip3-+ unsub-neg sum-log flip-+ distribute-lft-out unswap-sqr
Counts
4 → 73
Calls
4 calls:
9.0ms
(+ (* y (* 4.0 (* z z))) (* y (* 4.0 (neg t))))
5.0ms
(* 4.0 (* z z))
5.0ms
(* y (* 4.0 (neg t)))
8.0ms
(* y (* 4.0 (* z z)))

series33.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(+ (* y (* 4.0 (* z z))) (* y (* 4.0 (neg t))))
3.0ms
(* 4.0 (* z z))
4.0ms
(* y (* 4.0 (neg t)))
10.0ms
(* y (* 4.0 (* z z)))

simplify53.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04911638
14911638

prune101.0ms

Filtered
48 candidates to 85 candidates (-77.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New83285
Fresh257
Picked101
Done011
Total86894

Merged error: 3.5b

Counts
94 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

2.4b
(* y (* 4.0 (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t)))))
7.3b
(cbrt (- (* z z) t))
7.3b
(cbrt (- (* z z) t))
7.3b
(cbrt (- (* z z) t))

rewrite34.0ms

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:
17.0ms
(* y (* 4.0 (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t)))))
5.0ms
(cbrt (- (* z z) t))
4.0ms
(cbrt (- (* z z) t))
4.0ms
(cbrt (- (* z z) t))

series84.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* y (* 4.0 (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t)))))
20.0ms
(cbrt (- (* z z) t))
18.0ms
(cbrt (- (* z z) t))
18.0ms
(cbrt (- (* z z) t))

simplify58.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04971927
14971927

prune121.0ms

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

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New83083
Fresh066
Picked011
Done011
Total83891

Merged error: 3.5b

Counts
91 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(* y (* 4.0 (sqrt (- (* z z) t))))
0.3b
(* (* y (* 4.0 (sqrt (- (* z z) t)))) (sqrt (- (* z z) t)))
6.6b
(sqrt (- (* z z) t))
6.6b
(sqrt (- (* z z) t))

rewrite41.0ms

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:
12.0ms
(* y (* 4.0 (sqrt (- (* z z) t))))
17.0ms
(* (* y (* 4.0 (sqrt (- (* z z) t)))) (sqrt (- (* z z) t)))
4.0ms
(sqrt (- (* z z) t))
5.0ms
(sqrt (- (* z z) t))

series40.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(* 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))

simplify45.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
051171084

prune101.0ms

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

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New95297
Fresh145
Picked101
Done022
Total978105

Merged error: 3.5b

Counts
105 → 8

regimes1.1s

Accuracy

85.1% (0.5b remaining)

Error of 3.0b against oracle of 2.5b and baseline of 5.8b

bsearch0.0ms

simplify5.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
035936
135936

end0.0ms

sample1.3s

Algorithm
intervals
Results
586.0ms15959×body80valid

Profiling

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