Details

Time bar (total: 3.6s)

sample50.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
16.0ms274×body80nan

simplify29.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
0522228

prune14.0ms

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)))))
0.5b
(* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
64×associate-*r/
37×add-exp-log add-cbrt-cube
32×distribute-rgt-in distribute-lft-in
23×pow1
19×flip3-- flip--
18×sqrt-div prod-exp cbrt-unprod
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 → 134
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))))))
15.0ms
(* PI (* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v)))))
12.0ms
(* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v))))

series115.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 5.0 (* 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))))))
36.0ms
(* PI (* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v)))))
35.0ms
(* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v))))

simplify48.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
051833680

prune272.0ms

Filtered
93 candidates to 146 candidates (-57.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1415146
Fresh011
Picked011
Done000
Total1417148

Merged error: 0.0b

Counts
148 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(* v (* v 3.0))
0.2b
(* 5.0 (* v v))
0.2b
(* t (* PI (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v)))))
0.3b
(/ (- 1.0 (* 5.0 (* v v))) (pow (* t (* PI (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v))))) 1))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log
25×add-cbrt-cube
24×distribute-rgt-in distribute-lft-in associate-*r/
23×pow1
18×add-sqr-sqrt prod-exp
17×add-cube-cbrt *-un-lft-identity
15×times-frac
12×pow-prod-down cbrt-unprod
9×associate-*l*
8×sub-neg
7×flip3-- flip--
6×sqrt-div div-exp
5×associate-/r*
4×frac-times unpow-prod-down pow-exp add-log-exp sqr-pow
3×associate-*r* *-commutative associate-/l*
2×associate-*l/ associate-/l/
1×cbrt-undiv pow-to-exp frac-2neg div-sub clear-num div-inv unswap-sqr
Counts
4 → 125
Calls
4 calls:
5.0ms
(* v (* v 3.0))
5.0ms
(* 5.0 (* v v))
17.0ms
(* t (* PI (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v)))))
10.0ms
(/ (- 1.0 (* 5.0 (* v v))) (pow (* t (* PI (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v))))) 1))

series89.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* v (* v 3.0))
3.0ms
(* 5.0 (* v v))
40.0ms
(* t (* PI (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v)))))
42.0ms
(/ (- 1.0 (* 5.0 (* v v))) (pow (* t (* PI (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v))))) 1))

simplify49.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
051513441

prune234.0ms

Filtered
80 candidates to 137 candidates (-71.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1361137
Fresh145
Picked011
Done011
Total1377144

Merged error: 0b

Counts
144 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v)))
0.1b
(* v (* v 3.0))
0.2b
(* 5.0 (* v v))
0.3b
(/ (/ (- 1.0 (* 5.0 (* v v))) t) (pow (* PI (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v)))) 1))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
68×add-sqr-sqrt
64×add-cube-cbrt *-un-lft-identity
45×add-exp-log
21×add-cbrt-cube
16×pow1
15×div-exp
14×unpow-prod-down sqr-pow
13×prod-exp associate-/l*
10×associate-*l*
8×associate-*r/
7×pow-prod-down cbrt-unprod div-inv
6×flip3-- sqrt-div associate-*r* pow-exp flip--
5×associate-/r*
4×frac-times add-log-exp
3×cbrt-undiv *-commutative
2×distribute-rgt-in pow-to-exp sub-neg distribute-lft-in div-sub associate-*l/ unswap-sqr
1×frac-2neg clear-num sqrt-prod associate-/l/ difference-of-squares
Counts
4 → 176
Calls
4 calls:
10.0ms
(* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v)))
5.0ms
(* v (* v 3.0))
5.0ms
(* 5.0 (* v v))
13.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) t) (pow (* PI (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v)))) 1))

series62.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v)))
3.0ms
(* v (* v 3.0))
3.0ms
(* 5.0 (* v v))
45.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) t) (pow (* PI (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v)))) 1))

simplify81.0ms

Algorithm
egg-herbie
Counts
188 → 188
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049826194
149826194

prune409.0ms

Filtered
128 candidates to 188 candidates (-46.9%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1880188
Fresh044
Picked011
Done022
Total1887195

Merged error: 0b

Counts
195 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

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×distribute-rgt-in frac-times distribute-lft-in associate-/r/
4×sub-neg 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 → 129
Calls
4 calls:
5.0ms
(* v (* v 5.0))
5.0ms
(* v (* v 3.0))
17.0ms
(/ (/ (- 1.0 (* v (* v 5.0))) PI) (* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v)))))
12.0ms
(* 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 5.0))
5.0ms
(* v (* v 3.0))
40.0ms
(/ (/ (- 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))))

simplify45.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
049993210
149993210

prune225.0ms

Filtered
92 candidates to 141 candidates (-53.3%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1410141
Fresh033
Picked011
Done033
Total1417148

Merged error: 0b

Counts
148 → 7

regimes108.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09328
19328

end0.0ms

sample1.4s

Algorithm
intervals
Results
515.0ms8000×body80valid
487.0ms8079×body80nan

Profiling

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