Details

Time bar (total: 3.9s)

analyze147.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
25%68.7%6.3%6
25%56.2%18.8%7
25%48.4%26.6%8
25%35.1%39.9%9
28.1%18.3%53.6%10
31.6%12.3%56.1%11
33.4%5.9%60.8%12
35.2%3.8%61%13
36.1%2.9%61%14

sample50.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify92.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (89.0ms)

IterNodesCost
0490631
1490631

prune10.0ms

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: 0.2b

Counts
2 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
0.0b
(* (* a a) (+ 1.0 a))
0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.6b
(* (* b b) (- 1.0 (* 3.0 a)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
18×associate-*r/
17×pow1 add-exp-log
16×add-cbrt-cube
14×add-sqr-sqrt
12×*-un-lft-identity
10×add-cube-cbrt associate-*r*
7×pow-prod-down prod-exp cbrt-unprod
5×associate-*l*
4×flip3-+ frac-add flip-+ add-log-exp
3×distribute-rgt-in unpow-prod-down pow-unpow flip3-- distribute-lft-in *-commutative flip-- unswap-sqr
2×sub-neg
1×pow-to-exp pow-pow pow-exp distribute-lft-out sqr-pow
Counts
4 → 90
Calls
4 calls:
13.0ms
(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
8.0ms
(* (* a a) (+ 1.0 a))
5.0ms
(pow (+ (* a a) (* b b)) 2.0)
8.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

series50.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
5.0ms
(* (* a a) (+ 1.0 a))
21.0ms
(pow (+ (* a a) (* b b)) 2.0)
7.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

simplify54.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049971432
149971432

prune183.0ms

Filtered
73 candidates to 102 candidates (-39.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New984102
Fresh000
Picked011
Done000
Total985103

Merged error: 0.1b

Counts
103 → 5

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (* b b) (- 1.0 (* 3.0 a)))
18.8b
(cbrt (pow (+ (* b b) (* a a)) 2.0))
18.8b
(cbrt (pow (+ (* b b) (* a a)) 2.0))
18.8b
(cbrt (pow (+ (* b b) (* a a)) 2.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
12×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×pow1 add-exp-log unpow-prod-down add-cbrt-cube
4×add-log-exp
3×pow1/3 associate-*r* pow-prod-down prod-exp cbrt-unprod sqr-pow
2×sub-neg associate-*r/
1×distribute-rgt-in flip3-- distribute-lft-in associate-*l* *-commutative flip-- unswap-sqr
Counts
4 → 68
Calls
4 calls:
7.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
5.0ms
(cbrt (pow (+ (* b b) (* a a)) 2.0))
5.0ms
(cbrt (pow (+ (* b b) (* a a)) 2.0))
5.0ms
(cbrt (pow (+ (* b b) (* a a)) 2.0))

series111.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
36.0ms
(cbrt (pow (+ (* b b) (* a a)) 2.0))
34.0ms
(cbrt (pow (+ (* b b) (* a a)) 2.0))
34.0ms
(cbrt (pow (+ (* b b) (* a a)) 2.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
049881098
149881098

prune244.0ms

Filtered
61 candidates to 80 candidates (-31.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New76480
Fresh123
Picked101
Done011
Total78785

Merged error: 0.0b

Counts
85 → 7

localize34.0ms

Local error

Found 4 expressions with local error:

7.5b
(cbrt (pow (sqrt (+ (* b b) (* a a))) 2.0))
7.5b
(cbrt (pow (sqrt (+ (* b b) (* a a))) 2.0))
18.8b
(cbrt (pow (+ (* b b) (* a a)) 2.0))
18.8b
(cbrt (pow (+ (* b b) (* a a)) 2.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
34×cbrt-prod
18×unpow-prod-down
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×sqrt-prod
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp sqr-pow
Counts
4 → 66
Calls
4 calls:
5.0ms
(cbrt (pow (sqrt (+ (* b b) (* a a))) 2.0))
5.0ms
(cbrt (pow (sqrt (+ (* b b) (* a a))) 2.0))
5.0ms
(cbrt (pow (+ (* b b) (* a a)) 2.0))
5.0ms
(cbrt (pow (+ (* b b) (* a a)) 2.0))

series136.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(cbrt (pow (sqrt (+ (* b b) (* a a))) 2.0))
33.0ms
(cbrt (pow (sqrt (+ (* b b) (* a a))) 2.0))
37.0ms
(cbrt (pow (+ (* b b) (* a a)) 2.0))
33.0ms
(cbrt (pow (+ (* b b) (* a a)) 2.0))

simplify70.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
048321262
148321262

prune297.0ms

Filtered
62 candidates to 78 candidates (-25.8%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New75378
Fresh145
Picked011
Done011
Total76985

Merged error: 0.0b

Counts
85 → 9

localize31.0ms

Local error

Found 4 expressions with local error:

7.5b
(cbrt (pow (sqrt (+ (* b b) (* a a))) 2.0))
7.5b
(cbrt (pow (sqrt (+ (* b b) (* a a))) 2.0))
18.8b
(cbrt (pow (+ (* b b) (* a a)) 2.0))
18.8b
(cbrt (pow (+ (* b b) (* a a)) 2.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
34×cbrt-prod
18×unpow-prod-down
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×sqrt-prod
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp sqr-pow
Counts
4 → 66
Calls
4 calls:
5.0ms
(cbrt (pow (sqrt (+ (* b b) (* a a))) 2.0))
5.0ms
(cbrt (pow (sqrt (+ (* b b) (* a a))) 2.0))
5.0ms
(cbrt (pow (+ (* b b) (* a a)) 2.0))
5.0ms
(cbrt (pow (+ (* b b) (* a a)) 2.0))

series140.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(cbrt (pow (sqrt (+ (* b b) (* a a))) 2.0))
34.0ms
(cbrt (pow (sqrt (+ (* b b) (* a a))) 2.0))
34.0ms
(cbrt (pow (+ (* b b) (* a a)) 2.0))
36.0ms
(cbrt (pow (+ (* b b) (* a a)) 2.0))

simplify69.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
048321262
148321262

prune255.0ms

Filtered
62 candidates to 78 candidates (-25.8%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New77178
Fresh156
Picked011
Done022
Total78987

Merged error: 0.0b

Counts
87 → 9

regimes415.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06131
16131

end0.0ms

sample1.3s

Algorithm
intervals
Results
498.0ms8000×body80valid

Profiling

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