Details

Time bar (total: 5.3s)

sample39.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
10.0ms222×body80nan

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04414
116514
284614
3397414
4500114

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite187.0ms

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 expm1-log1p-u frac-times div-exp log1p-expm1-u 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 → 102
Calls
4 calls:
16.0ms
(* 5.0 (* v v))
122.0ms
(/ (- 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)
38.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series797.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 5.0 (* v v))
567.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
23.0ms
(* PI t)
181.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify112.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07751210
143561050
250011050

prune332.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI t)
0.5b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
25.2b
(sqrt (* 5.0 (* v v)))
25.2b
(sqrt (* 5.0 (* v v)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1
11×add-exp-log add-cbrt-cube
10×pow-prod-down
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity associate-*r*
6×sqrt-pow1
4×expm1-log1p-u associate-*r/ associate-*l* prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×sqrt-prod
2×pow1/2 sqrt-div *-commutative
1×flip3-- flip-- unswap-sqr
Counts
4 → 71
Calls
4 calls:
7.0ms
(* PI t)
37.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
14.0ms
(sqrt (* 5.0 (* v v)))
14.0ms
(sqrt (* 5.0 (* v v)))

series280.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* PI t)
187.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
39.0ms
(sqrt (* 5.0 (* v v)))
34.0ms
(sqrt (* 5.0 (* v v)))

simplify38.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0271397
11195363
25001363

prune289.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI t)
0.5b
(* (* PI t) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))))))
25.2b
(sqrt (* 5.0 (* v v)))
25.2b
(sqrt (* 5.0 (* v v)))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1
11×add-exp-log add-cbrt-cube
10×pow-prod-down
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity associate-*r*
6×sqrt-pow1
4×expm1-log1p-u associate-*r/ associate-*l* prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×sqrt-prod
2×pow1/2 sqrt-div *-commutative
1×flip3-- flip-- unswap-sqr
Counts
4 → 71
Calls
4 calls:
7.0ms
(* PI t)
51.0ms
(* (* PI t) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))))))
14.0ms
(sqrt (* 5.0 (* v v)))
14.0ms
(sqrt (* 5.0 (* v v)))

series275.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* PI t)
181.0ms
(* (* PI t) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))))))
39.0ms
(sqrt (* 5.0 (* v v)))
34.0ms
(sqrt (* 5.0 (* v v)))

simplify42.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0264485
11258439
25002439

prune337.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
0.5b
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
25.2b
(sqrt (* 5.0 (* v v)))
25.2b
(sqrt (* 5.0 (* v v)))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1
11×add-exp-log add-cbrt-cube
10×associate-*r/ pow-prod-down
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×sqrt-pow1 associate-*l*
5×associate-*r*
4×expm1-log1p-u sqrt-div prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×sqrt-prod
2×flip3-- pow1/2 *-commutative flip--
1×unswap-sqr
Counts
4 → 73
Calls
4 calls:
65.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
28.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
14.0ms
(sqrt (* 5.0 (* v v)))
14.0ms
(sqrt (* 5.0 (* v v)))

series417.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
149.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
40.0ms
(sqrt (* 5.0 (* v v)))
35.0ms
(sqrt (* 5.0 (* v v)))

simplify39.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0294548
11172508
25001508

prune280.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

regimes248.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03328
13328

end0.0ms

sample1.1s

Algorithm
intervals
Results
392.0ms8000×body80valid
352.0ms7773×body80nan