Details

Time bar (total: 5.7s)

analyze103.0ms

Algorithm
search

sample24.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify74.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04414
116514
282614
3386714
4500214

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.6b

Counts
2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.3b
(* PI t)
0.5b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
0.5b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log add-cbrt-cube
18×associate-*r/
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×add-cube-cbrt *-un-lft-identity
8×flip3-- sqrt-div associate-*r* associate-/r/ flip--
7×associate-*l* pow-prod-down
4×cbrt-undiv frac-times div-exp add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 94
Calls
4 calls:
5.0ms
(* 3.0 (* v v))
4.0ms
(* PI t)
14.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
8.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series69.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 3.0 (* v v))
3.0ms
(* PI t)
43.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
20.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify106.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07701153
143251002
250021002

prune212.0ms

Filtered
72 candidates to 106 candidates (-47.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New979106
Fresh000
Picked101
Done000
Total989107

Merged error: 0.3b

Counts
107 → 9

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (* 3.0 (* v v)) 3)
0.3b
(* PI t)
0.5b
(/ (- 1.0 (* 5.0 (* v v))) (* (/ (* (* PI t) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))) (sqrt (+ (* 1.0 1.0) (+ (* (* 3.0 (* v v)) (* 3.0 (* v v))) (* 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
0.5b
(* (* PI t) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
17×pow1
14×prod-exp cbrt-unprod
12×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
8×cbrt-undiv div-exp
7×associate-*r* pow-prod-down
6×associate-*r/
5×associate-/r/
4×flip3-- associate-*l* flip-- add-log-exp
3×pow-unpow pow-pow times-frac pow-exp associate-/l* rem-cube-cbrt
2×frac-times sqrt-div *-commutative associate-/l/
1×cube-mult pow-to-exp unpow-prod-down frac-2neg unpow3 div-sub cube-prod associate-*l/ clear-num associate-/r* sqrt-prod div-inv unswap-sqr sqr-pow
Counts
4 → 99
Calls
4 calls:
6.0ms
(pow (* 3.0 (* v v)) 3)
4.0ms
(* PI t)
32.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (/ (* (* PI t) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))) (sqrt (+ (* 1.0 1.0) (+ (* (* 3.0 (* v v)) (* 3.0 (* v v))) (* 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
18.0ms
(* (* PI t) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

series88.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(pow (* 3.0 (* v v)) 3)
2.0ms
(* PI t)
54.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (/ (* (* PI t) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))) (sqrt (+ (* 1.0 1.0) (+ (* (* 3.0 (* v v)) (* 3.0 (* v v))) (* 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
27.0ms
(* (* PI t) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

simplify115.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
08081853
145351524
250011524

prune317.0ms

Filtered
73 candidates to 111 candidates (-52.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1110111
Fresh088
Picked011
Done000
Total1119120

Merged error: 0.3b

Counts
120 → 9

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
368×associate-*r/
228×cbrt-div sqrt-div
168×frac-times
142×flip3-- flip--
84×associate-*l/
80×associate-/r/
69×add-exp-log
47×add-cbrt-cube
41×prod-exp cbrt-unprod
36×pow1
22×pow-prod-down
12×add-sqr-sqrt
11×associate-*r*
10×add-cube-cbrt *-un-lft-identity
7×cbrt-undiv div-exp
5×associate-*l*
4×cbrt-prod add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-/l/
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv unswap-sqr
Counts
4 → 219
Calls
4 calls:
3.0ms
(* PI t)
12.0ms
(* (* PI t) (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))
17.0ms
(* (* (* PI t) (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
30.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))

series116.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI t)
45.0ms
(* (* PI t) (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))
26.0ms
(* (* (* PI t) (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
42.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))

simplify91.0ms

Algorithm
egg-herbie
Counts
231 → 231
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
017547047
150016344

prune1.3s

Filtered
168 candidates to 231 candidates (-37.5%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New2265231
Fresh347
Picked011
Done011
Total22911240

Merged error: 0.2b

Counts
240 → 11

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI t)
0.4b
(/ (cbrt (- 1.0 (* 5.0 (* v v)))) (* PI t))
0.5b
(* (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (* PI t)) (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (pow (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) 3)))
1.0b
(/ (cbrt (- 1.0 (* 5.0 (* v v)))) (pow (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) 3))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
264×times-frac
246×cbrt-prod
199×add-sqr-sqrt
161×add-cube-cbrt *-un-lft-identity
129×associate-*r*
95×unpow-prod-down cube-prod
58×add-exp-log
26×sqrt-prod
24×add-cbrt-cube
22×div-exp
21×associate-/r*
18×prod-exp
15×sqr-pow
14×unswap-sqr
13×cube-mult unpow3 associate-*l*
12×associate-/l*
10×cbrt-undiv cbrt-unprod
8×pow1 cbrt-div
5×associate-*r/
4×cube-div pow-to-exp flip3-- sqrt-div pow-exp associate-/r/ flip-- div-inv associate-/l/ add-log-exp
2×frac-2neg pow-prod-down clear-num *-commutative
1×frac-times associate-*l/
Counts
4 → 390
Calls
4 calls:
3.0ms
(* PI t)
6.0ms
(/ (cbrt (- 1.0 (* 5.0 (* v v)))) (* PI t))
50.0ms
(* (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (* PI t)) (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (pow (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) 3)))
11.0ms
(/ (cbrt (- 1.0 (* 5.0 (* v v)))) (pow (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) 3))

series158.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* PI t)
39.0ms
(/ (cbrt (- 1.0 (* 5.0 (* v v)))) (* PI t))
78.0ms
(* (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (* PI t)) (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (pow (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) 3)))
36.0ms
(/ (cbrt (- 1.0 (* 5.0 (* v v)))) (pow (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) 3))

simplify109.0ms

Algorithm
egg-herbie
Counts
402 → 402
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
017818339
150018089

prune1.4s

Filtered
200 candidates to 402 candidates (-101.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3984402
Fresh808
Picked101
Done112
Total4085413

Merged error: 0b

Counts
413 → 5

regimes268.0ms

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 (0.0ms)

IterNodesCost
03132
13132

end0.0ms

analyze102.0ms

Algorithm
search

sample634.0ms

Algorithm
intervals
Results
503.0ms8000×body80valid
1.0ms12×body80nan

Profiling

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