Details

Time bar (total: 13.2s)

sample55.0ms

Algorithm
intervals
Results
19.0ms271×body80nan
17.0ms256×body80valid

simplify80.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04414
116514
284614
3397414
4500114

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite184.0ms

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
(* 3.0 (* v v))
120.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
7.0ms
(* PI t)
37.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series780.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* 3.0 (* v v))
557.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
19.0ms
(* PI t)
180.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify109.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07731205
143311050
250011050

prune627.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3.0 (* v v))
0.2b
(/ (- (* 1.0 1.0) (* (* 5.0 (* v v)) (* 5.0 (* v v)))) (* (* (fma (* 5.0 v) v 1.0) (* PI t)) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))))
0.3b
(* PI t)
0.4b
(* (* (fma (* 5.0 v) v 1.0) (* PI t)) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

rewrite296.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log add-cbrt-cube
34×prod-exp cbrt-unprod
32×pow1 associate-*r/
20×distribute-rgt-in distribute-lft-in
19×pow-prod-down
16×add-sqr-sqrt
13×add-cube-cbrt flip3-- *-un-lft-identity flip--
12×sqrt-div prod-diff
8×frac-times associate-/r/
7×cbrt-undiv div-exp associate-*l*
5×associate-*r*
4×expm1-log1p-u sub-neg times-frac associate-*l/ log1p-expm1-u associate-/l* add-log-exp
3×*-commutative
2×associate-/l/ difference-of-squares unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* div-inv
Counts
4 → 145
Calls
4 calls:
16.0ms
(* 3.0 (* v v))
133.0ms
(/ (- (* 1.0 1.0) (* (* 5.0 (* v v)) (* 5.0 (* v v)))) (* (* (fma (* 5.0 v) v 1.0) (* PI t)) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))))
7.0ms
(* PI t)
133.0ms
(* (* (fma (* 5.0 v) v 1.0) (* PI t)) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

series1.3s

Counts
4 → 12
Calls
4 calls:
23.0ms
(* 3.0 (* v v))
602.0ms
(/ (- (* 1.0 1.0) (* (* 5.0 (* v v)) (* 5.0 (* v v)))) (* (* (fma (* 5.0 v) v 1.0) (* PI t)) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))))
25.0ms
(* PI t)
695.0ms
(* (* (fma (* 5.0 v) v 1.0) (* PI t)) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

simplify56.0ms

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
011702960
150022663

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI t)
0.4b
(* (* (fma (* 5.0 v) v 1.0) (* PI t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.4b
(* (* (fma (* 5.0 v) v 1.0) (* PI t)) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
3.4b
(* (/ (* 5.0 5.0) (* (* (fma (* 5.0 v) v 1.0) (* PI t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (/ (pow v 4) (- 1.0 (* v v))))

rewrite477.0ms

Algorithm
rewrite-expression-head
Rules
222×add-exp-log
129×add-cbrt-cube
122×prod-exp
72×cbrt-unprod
59×div-exp
47×add-sqr-sqrt
42×associate-*r*
38×pow1
32×times-frac
28×add-cube-cbrt *-un-lft-identity
25×cbrt-undiv associate-*r/
23×pow-prod-down
20×distribute-rgt-in distribute-lft-in
13×unpow-prod-down
12×associate-*l* prod-diff
10×sqrt-div
9×pow-to-exp flip3-- pow-exp flip--
7×difference-of-squares
5×frac-times unswap-sqr sqr-pow
4×expm1-log1p-u sub-neg associate-/r/ *-commutative log1p-expm1-u add-log-exp
3×associate-*l/
2×div-inv
1×sqrt-prod
Counts
4 → 217
Calls
4 calls:
7.0ms
(* PI t)
63.0ms
(* (* (fma (* 5.0 v) v 1.0) (* PI t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
130.0ms
(* (* (fma (* 5.0 v) v 1.0) (* PI t)) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
266.0ms
(* (/ (* 5.0 5.0) (* (* (fma (* 5.0 v) v 1.0) (* PI t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (/ (pow v 4) (- 1.0 (* v v))))

series1.9s

Counts
4 → 12
Calls
4 calls:
19.0ms
(* PI t)
590.0ms
(* (* (fma (* 5.0 v) v 1.0) (* PI t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
714.0ms
(* (* (fma (* 5.0 v) v 1.0) (* PI t)) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
620.0ms
(* (/ (* 5.0 5.0) (* (* (fma (* 5.0 v) v 1.0) (* PI t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (/ (pow v 4) (- 1.0 (* v v))))

simplify85.0ms

Algorithm
egg-herbie
Counts
229 → 229
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
017314595
150014014

prune2.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
100×add-exp-log add-cbrt-cube
37×prod-exp cbrt-unprod
35×cbrt-undiv div-exp
22×add-sqr-sqrt
16×pow1
15×add-cube-cbrt *-un-lft-identity associate-*r*
14×times-frac
13×associate-*l*
10×associate-*r/
8×associate-/r/
7×pow-prod-down
6×frac-times flip3-- sqrt-div flip--
4×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp unswap-sqr
3×*-commutative div-inv associate-/l/
1×frac-2neg clear-num associate-/r* associate-/l*
Counts
4 → 144
Calls
4 calls:
16.0ms
(* 5.0 (* v v))
17.0ms
(* 3.0 (* v v))
37.0ms
(* (/ (fma (* 5.0 v) v 1.0) (* (fma (* 5.0 v) v 1.0) PI)) (/ (- 1.0 (* 5.0 (* v v))) t))
58.0ms
(/ (* (/ (fma (* 5.0 v) v 1.0) (* (fma (* 5.0 v) v 1.0) PI)) (/ (- 1.0 (* 5.0 (* v v))) t)) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

series693.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* 5.0 (* v v))
30.0ms
(* 3.0 (* v v))
71.0ms
(* (/ (fma (* 5.0 v) v 1.0) (* (fma (* 5.0 v) v 1.0) PI)) (/ (- 1.0 (* 5.0 (* v v))) t))
569.0ms
(/ (* (/ (fma (* 5.0 v) v 1.0) (* (fma (* 5.0 v) v 1.0) PI)) (/ (- 1.0 (* 5.0 (* v v))) t)) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

simplify48.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010472662
150011707

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes203.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03120
13120

end0.0ms

sample1.3s

Algorithm
intervals
Results
512.0ms8001×body80valid
494.0ms8056×body80nan