Details

Time bar (total: 2.7s)

sample21.0ms

Algorithm
intervals
Results
9.0ms343×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1103

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: 0.0b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* x y) (* z t))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
3.0ms
(+ (* x y) (* z t))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(+ (* x y) (* z t))

simplify120.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
010074
136367
2105167
3293167
4500167

prune34.0ms

Filtered
14 candidates to 12 candidates (85.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New12214
Fresh000
Picked011
Done000
Total12315

Merged error: 0.0b

Counts
15 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* z t))
0.3b
(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
0.5b
(sqrt (+ (* x y) (* z t)))
0.5b
(sqrt (+ (* x y) (* z t)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
flip3-+ flip-+
swap-sqr
add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
pow-prod-up
frac-times unswap-sqr
pow-prod-down pow-sqr
rem-sqrt-square associate-*r/ associate-*l/
+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
4.0ms
(+ (* x y) (* z t))
11.0ms
(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
3.0ms
(sqrt (+ (* x y) (* z t)))
4.0ms
(sqrt (+ (* x y) (* z t)))

series294.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ (* x y) (* z t))
34.0ms
(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
116.0ms
(sqrt (+ (* x y) (* z t)))
110.0ms
(sqrt (+ (* x y) (* z t)))

simplify44.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0243764
11002706
25001686

prune186.0ms

Filtered
110 candidates to 67 candidates (60.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1091110
Fresh011
Picked011
Done011
Total1094113

Merged error: 0.0b

Counts
113 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (fabs (cbrt (+ (* x y) (* z t)))) (sqrt (+ (* x y) (* z t)))) (sqrt (cbrt (+ (* x y) (* z t)))))
0.5b
(sqrt (+ (* x y) (* z t)))
1.0b
(cbrt (+ (* x y) (* z t)))
1.0b
(cbrt (+ (* x y) (* z t)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
14×sqrt-div
11×add-sqr-sqrt
10×pow1 add-cube-cbrt cbrt-div *-un-lft-identity
add-exp-log cbrt-prod flip3-+ associate-*r* sqrt-prod add-cbrt-cube flip-+
associate-*r/
frac-times add-log-exp
pow-prod-down prod-exp cbrt-unprod
pow1/3 associate-*l/
rem-sqrt-square sqrt-pow1 pow1/2 associate-*l* *-commutative
Counts
4 → 73
Calls
4 calls:
12.0ms
(* (* (fabs (cbrt (+ (* x y) (* z t)))) (sqrt (+ (* x y) (* z t)))) (sqrt (cbrt (+ (* x y) (* z t)))))
3.0ms
(sqrt (+ (* x y) (* z t)))
3.0ms
(cbrt (+ (* x y) (* z t)))
3.0ms
(cbrt (+ (* x y) (* z t)))

series485.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(* (* (fabs (cbrt (+ (* x y) (* z t)))) (sqrt (+ (* x y) (* z t)))) (sqrt (cbrt (+ (* x y) (* z t)))))
109.0ms
(sqrt (+ (* x y) (* z t)))
105.0ms
(cbrt (+ (* x y) (* z t)))
107.0ms
(cbrt (+ (* x y) (* z t)))

simplify54.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04891155
117721072
250011041

prune288.0ms

Filtered
85 candidates to 71 candidates (83.5%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh011
Picked011
Done022
Total85489

Merged error: 0.0b

Counts
89 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* t z) (* x y))
0.3b
(pow (+ (* t z) (* x y)) 3)
33.5b
(cbrt (pow (+ (* t z) (* x y)) 3))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
unpow-prod-down cube-prod
add-log-exp
pow1 add-exp-log cube-div add-cbrt-cube
pow-unpow flip3-+ flip-+
cube-mult cbrt-div unpow3 sqr-pow
+-commutative pow-to-exp pow-pow pow1/3 pow-exp sum-log rem-cbrt-cube rem-cube-cbrt
Counts
3 → 59
Calls
3 calls:
3.0ms
(+ (* t z) (* x y))
8.0ms
(pow (+ (* t z) (* x y)) 3)
4.0ms
(cbrt (pow (+ (* t z) (* x y)) 3))

series231.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(+ (* t z) (* x y))
156.0ms
(pow (+ (* t z) (* x y)) 3)
35.0ms
(cbrt (pow (+ (* t z) (* x y)) 3))

simplify45.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0260431
11255410
25001402

prune105.0ms

Filtered
68 candidates to 41 candidates (60.3%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New68068
Fresh000
Picked011
Done033
Total68472

Merged error: 0.0b

Counts
72 → 4

regimes143.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103
1103

end0.0ms

sample516.0ms

Algorithm
intervals
Results
258.0ms10512×body80valid

Profiling

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