Details

Time bar (total: 3.2s)

analyze106.0ms

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%50%50%4
0%50%50%5
12.5%37.5%50%6
18.7%31.2%50%7
28.1%21.9%50%8
32.8%17.2%50%9
38.2%11.7%50%10
41%9%50%11
43.9%6%50%12
45.4%4.6%50%13
46.9%3.1%50%14

sample25.0ms

Algorithm
intervals
Results
17.0ms256×body80valid
0.0ms2×body80nan

simplify29.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
0522228

prune13.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.5b

Counts
2 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* v (* v 3.0))
0.3b
(* PI (* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v)))))
0.4b
(* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v))))
0.5b
(/ (- 1.0 (* 5.0 (* v v))) (* PI (* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v))))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
64×associate-*r/
37×add-exp-log add-cbrt-cube
23×pow1
19×flip3-- flip--
18×sqrt-div prod-exp cbrt-unprod
16×distribute-rgt-in distribute-lft-in
12×frac-times sub-neg pow-prod-down
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l*
8×associate-/r/
6×associate-*l/
4×cbrt-undiv div-exp add-log-exp
3×times-frac associate-*r* *-commutative associate-/l*
2×associate-/l/
1×frac-2neg div-sub clear-num associate-/r* div-inv
Counts
4 → 121
Calls
4 calls:
5.0ms
(* v (* v 3.0))
13.0ms
(* PI (* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v)))))
11.0ms
(* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v))))
16.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI (* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v))))))

series111.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* v (* v 3.0))
36.0ms
(* PI (* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v)))))
30.0ms
(* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v))))
42.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI (* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v))))))

simplify45.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
052863268

prune283.0ms

Filtered
87 candidates to 133 candidates (-52.9%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1249133
Fresh011
Picked101
Done000
Total12510135

Merged error: 0.2b

Counts
135 → 10

localize202.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 5.0 (* v v))
0.1b
(* v (* v 3.0))
0.4b
(* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v))))
0.6b
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v)))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log add-cbrt-cube
32×associate-*r/
31×times-frac
22×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
19×pow1
15×prod-exp cbrt-unprod
13×associate-/l*
12×flip3-- sqrt-div flip--
9×cbrt-undiv div-exp associate-*l* pow-prod-down
8×frac-times associate-/r/
4×distribute-rgt-in sub-neg distribute-lft-in associate-*l/ add-log-exp
3×associate-*r* *-commutative div-inv
2×div-sub
1×frac-2neg clear-num associate-/r* associate-/l/ unswap-sqr
Counts
4 → 126
Calls
4 calls:
5.0ms
(* 5.0 (* v v))
5.0ms
(* v (* v 3.0))
11.0ms
(* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v))))
16.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v)))))

series78.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 5.0 (* v v))
3.0ms
(* v (* v 3.0))
30.0ms
(* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v))))
41.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v)))))

simplify45.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
049943094
149943094

prune255.0ms

Filtered
91 candidates to 138 candidates (-51.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1344138
Fresh639
Picked101
Done000
Total1417148

Merged error: 0.0b

Counts
148 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 5.0 (* v v))
0.1b
(* 5.0 (* v v))
0.1b
(* v (* v 3.0))
0.3b
(* (/ (sqrt (- 1.0 (* 5.0 (* v v)))) t) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (* PI (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v))))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
51×add-exp-log add-cbrt-cube
33×add-sqr-sqrt
31×associate-*l*
26×times-frac
23×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
21×pow1 associate-*r*
17×associate-*r/
13×sqrt-prod
10×cbrt-undiv div-exp pow-prod-down
8×associate-/r/
6×flip3-- sqrt-div flip--
5×frac-times unswap-sqr
4×*-commutative add-log-exp
3×associate-*l/
2×div-inv
Counts
4 → 127
Calls
4 calls:
5.0ms
(* 5.0 (* v v))
5.0ms
(* 5.0 (* v v))
5.0ms
(* v (* v 3.0))
29.0ms
(* (/ (sqrt (- 1.0 (* 5.0 (* v v)))) t) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (* PI (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v))))))

series50.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 5.0 (* v v))
6.0ms
(* 5.0 (* v v))
3.0ms
(* v (* v 3.0))
39.0ms
(* (/ (sqrt (- 1.0 (* 5.0 (* v v)))) t) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (* PI (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v))))))

simplify44.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
056192883

prune267.0ms

Filtered
86 candidates to 139 candidates (-61.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1372139
Fresh336
Picked011
Done000
Total1406146

Merged error: 0.0b

Counts
146 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 (* 5.0 (* v v))) (* PI (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v)))))
0.1b
(/ (/ (- 1.0 (* 5.0 (* v v))) (* PI (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v))))) t)
0.1b
(* 5.0 (* v v))
0.1b
(* v (* v 3.0))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
80×associate-*r/
60×times-frac
40×associate-/r/
37×add-exp-log add-cbrt-cube
33×add-sqr-sqrt
32×add-cube-cbrt *-un-lft-identity
31×flip3-- flip--
30×sqrt-div
20×frac-times
18×associate-/l*
14×pow1
12×prod-exp cbrt-unprod
10×cbrt-undiv div-exp associate-*l/
6×associate-*l* pow-prod-down div-inv
4×associate-/r* add-log-exp
3×div-sub associate-/l/
2×frac-2neg associate-*r* clear-num *-commutative
1×unswap-sqr
Counts
4 → 154
Calls
4 calls:
14.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v)))))
16.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* PI (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v))))) t)
5.0ms
(* 5.0 (* v v))
5.0ms
(* v (* v 3.0))

series67.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v)))))
41.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* PI (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v))))) t)
3.0ms
(* 5.0 (* v v))
3.0ms
(* v (* v 3.0))

simplify59.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
051764975

prune413.0ms

Filtered
131 candidates to 166 candidates (-26.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1651166
Fresh044
Picked011
Done011
Total1657172

Merged error: 0b

Counts
172 → 7

regimes171.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09028
19028

end0.0ms

sample680.0ms

Algorithm
intervals
Results
547.0ms8000×body80valid
1.0ms8×body80nan

Profiling

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