Details

Time bar (total: 2.8s)

analyze103.0ms

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

sample24.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify28.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
0522228

prune10.0ms

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: 0.3b

Counts
2 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.3b
(/ (- 1.0 (* 5.0 (* v v))) (* PI (* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v))))))
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))))

rewrite52.0ms

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
10×add-sqr-sqrt
9×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 unswap-sqr
Counts
4 → 122
Calls
4 calls:
5.0ms
(* 5.0 (* 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))))))
13.0ms
(* PI (* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v)))))
14.0ms
(* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v))))

series111.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 5.0 (* v v))
39.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI (* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v))))))
38.0ms
(* PI (* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v)))))
31.0ms
(* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v))))

simplify46.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
051833276

prune296.0ms

Filtered
93 candidates to 134 candidates (-44.1%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1259134
Fresh101
Picked101
Done000
Total1279136

Merged error: 0.0b

Counts
136 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(* v (* v 3.0))
0.1b
(* v (* v 5.0))
0.4b
(/ (/ (- 1.0 (* v (* v 5.0))) 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))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log add-cbrt-cube
32×associate-*r/
31×times-frac
21×add-sqr-sqrt 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/
Counts
4 → 125
Calls
4 calls:
5.0ms
(* v (* v 3.0))
5.0ms
(* v (* v 5.0))
16.0ms
(/ (/ (- 1.0 (* v (* v 5.0))) 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))))

series80.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* v (* v 3.0))
3.0ms
(* v (* v 5.0))
43.0ms
(/ (/ (- 1.0 (* v (* v 5.0))) PI) (* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v)))))
32.0ms
(* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v))))

simplify44.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
049993086
149993086

prune259.0ms

Filtered
92 candidates to 137 candidates (-48.9%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1334137
Fresh628
Picked101
Done000
Total1406146

Merged error: 0b

Counts
146 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* v (* v 3.0))
0.2b
(* (* v v) 5.0)
0.4b
(/ (/ (- 1.0 (* (* v v) 5.0)) 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))))

rewrite44.0ms

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 pow-prod-down
8×frac-times associate-/r/
7×associate-*l*
5×associate-*r*
4×distribute-rgt-in sub-neg distribute-lft-in associate-*l/ add-log-exp
3×*-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
(* v (* v 3.0))
5.0ms
(* (* v v) 5.0)
17.0ms
(/ (/ (- 1.0 (* (* v v) 5.0)) 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))))

series80.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* v (* v 3.0))
3.0ms
(* (* v v) 5.0)
42.0ms
(/ (/ (- 1.0 (* (* v v) 5.0)) PI) (* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v)))))
32.0ms
(* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v))))

simplify44.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
050673095

prune239.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1380138
Fresh055
Picked011
Done000
Total1386144

Merged error: 0b

Counts
144 → 6

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
52×add-cbrt-cube
38×prod-exp cbrt-unprod
24×pow1
21×associate-*r*
15×associate-*l/
13×cbrt-undiv frac-times associate-*r/ div-exp
12×pow-prod-down
10×add-sqr-sqrt add-cube-cbrt flip3-- *-un-lft-identity associate-*l* flip--
8×cbrt-div associate-/r/
6×times-frac sqrt-div
4×*-commutative add-log-exp
3×cbrt-prod
1×div-inv
Counts
4 → 118
Calls
4 calls:
5.0ms
(* v (* v 5.0))
5.0ms
(* v (* v 5.0))
5.0ms
(* v (* v 5.0))
26.0ms
(* (* (/ (cbrt (- 1.0 (* v (* v 5.0)))) t) (cbrt (- 1.0 (* v (* v 5.0))))) (/ (cbrt (- 1.0 (* v (* v 5.0)))) (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (* (- 1.0 (* v v)) PI))))

series133.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* v (* v 5.0))
5.0ms
(* v (* v 5.0))
5.0ms
(* v (* v 5.0))
117.0ms
(* (* (/ (cbrt (- 1.0 (* v (* v 5.0)))) t) (cbrt (- 1.0 (* v (* v 5.0))))) (/ (cbrt (- 1.0 (* v (* v 5.0)))) (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (* (- 1.0 (* v v)) PI))))

simplify68.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
050442740

prune250.0ms

Filtered
75 candidates to 130 candidates (-73.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1282130
Fresh404
Picked101
Done011
Total1333136

Merged error: 0b

Counts
136 → 3

regimes75.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
010228
110228

end0.0ms

sample659.0ms

Algorithm
intervals
Results
519.0ms8000×body80valid
1.0ms9×body80nan

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