Details

Time bar (total: 8.5s)

sample56.0ms

Algorithm
intervals
Results
21.0ms256×body80valid
14.0ms250×body80nan

simplify74.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04414
116514
282614
3386714
4500214

prune5.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* PI t)
0.3b
(/ (- 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))))))

rewrite37.0ms

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:
6.0ms
(* 3.0 (* v v))
4.0ms
(* PI t)
16.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
9.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.0s

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 3.0 (* v v))
20.0ms
(* PI t)
778.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
192.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify112.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07711153
143311002
250021002

prune416.0ms

Filtered
106 candidates to 72 candidates (67.9%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New9610106
Fresh000
Picked101
Done000
Total9710107

Merged error: 0.1b

Counts
107 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.3b
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
0.3b
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
0.4b
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log associate-*r/ add-cbrt-cube
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×add-cube-cbrt *-un-lft-identity sqrt-div
9×flip3-- associate-*l* flip--
8×associate-/r/
7×pow-prod-down
6×associate-*r*
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 → 96
Calls
4 calls:
6.0ms
(* 3.0 (* v v))
16.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
9.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
11.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series975.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 3.0 (* v v))
595.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
198.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
156.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify109.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07961295
142511138
250011138

prune425.0ms

Filtered
108 candidates to 76 candidates (70.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1071108
Fresh369
Picked011
Done000
Total1108118

Merged error: 0.1b

Counts
118 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log
31×add-cbrt-cube
16×pow1 prod-exp cbrt-unprod
12×cbrt-div
11×add-sqr-sqrt
10×associate-*r/
8×add-cube-cbrt flip3-- *-un-lft-identity associate-*r* flip-- associate-/l/
7×associate-*l* pow-prod-down
6×cbrt-undiv div-exp
4×frac-times sqrt-div add-log-exp
3×*-commutative
2×associate-*l/ associate-/r/ unswap-sqr
1×frac-2neg times-frac clear-num associate-/r* sqrt-prod div-inv associate-/l*
Counts
4 → 93
Calls
4 calls:
6.0ms
(* 3.0 (* v v))
7.0ms
(* PI t)
17.0ms
(/ (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
9.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 3.0 (* v v))
26.0ms
(* PI t)
818.0ms
(/ (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
198.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify98.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
07931292
141211107
250011099

prune441.0ms

Filtered
105 candidates to 68 candidates (64.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1032105
Fresh426
Picked011
Done011
Total1076113

Merged error: 0.0b

Counts
113 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log
33×add-cbrt-cube
26×times-frac
21×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
13×cbrt-undiv div-exp
12×cbrt-div prod-exp cbrt-unprod
11×pow1
9×associate-/l/
7×flip3-- flip-- div-inv
6×associate-*l* sqrt-prod associate-/l*
5×associate-/r*
4×frac-times associate-*r/ associate-*r* pow-prod-down add-log-exp
2×frac-2neg sqrt-div associate-*l/ clear-num associate-/r/ *-commutative unswap-sqr
Counts
4 → 118
Calls
4 calls:
6.0ms
(* 3.0 (* v v))
4.0ms
(* PI t)
12.0ms
(/ (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) (* PI t))
15.0ms
(/ (/ (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) (* PI t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 3.0 (* v v))
27.0ms
(* PI t)
308.0ms
(/ (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) (* PI t))
820.0ms
(/ (/ (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) (* PI t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify111.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
09132081
144451852
250011842

prune565.0ms

Filtered
130 candidates to 90 candidates (69.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1282130
Fresh213
Picked011
Done112
Total1315136

Merged error: 0b

Counts
136 → 5

regimes225.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02726
12726

end0.0ms

sample1.3s

Algorithm
intervals
Results
479.0ms8000×body80valid
471.0ms8191×body80nan

Profiling

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