Details

Time bar (total: 8.1s)

sample42.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
11.0ms248×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

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI t)
0.2b
(* 5.0 (* 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))))
0.4b
(* (* 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 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:
3.0ms
(* PI t)
5.0ms
(* 5.0 (* v v))
15.0ms
(/ (- 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))))))

series835.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* PI t)
24.0ms
(* 5.0 (* v v))
593.0ms
(/ (- 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))))))

simplify106.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07751210
143561050
250011050

prune355.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.2b
(* 5.0 (* v v))
0.3b
(/ (- (pow 1.0 3) (pow (* 5.0 (* v v)) 3)) (* (* (fma (* 5.0 (* v v)) (+ 1.0 (* 5.0 (* v v))) (* 1.0 1.0)) (* PI t)) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))))
0.4b
(* (* (fma (* 5.0 (* v v)) (+ 1.0 (* 5.0 (* v v))) (* 1.0 1.0)) (* PI t)) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
64×add-exp-log add-cbrt-cube
36×prod-exp cbrt-unprod
35×pow1
34×add-sqr-sqrt
32×associate-*r/
21×pow-prod-down
20×distribute-rgt-in distribute-lft-in
16×*-un-lft-identity difference-of-squares
13×flip3-- times-frac flip-- associate-/l*
12×add-cube-cbrt sqrt-div prod-diff sqr-pow
8×frac-times associate-/r/
7×cbrt-undiv div-exp associate-*l*
4×expm1-log1p-u sub-neg unpow-prod-down cube-prod associate-*l/ log1p-expm1-u add-log-exp
3×associate-*r* *-commutative
2×difference-cubes associate-/l/ distribute-lft-out-- unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* div-inv
Counts
4 → 164
Calls
4 calls:
5.0ms
(* 5.0 (* v v))
5.0ms
(* 5.0 (* v v))
35.0ms
(/ (- (pow 1.0 3) (pow (* 5.0 (* v v)) 3)) (* (* (fma (* 5.0 (* v v)) (+ 1.0 (* 5.0 (* v v))) (* 1.0 1.0)) (* PI t)) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))))
15.0ms
(* (* (fma (* 5.0 (* v v)) (+ 1.0 (* 5.0 (* v v))) (* 1.0 1.0)) (* PI t)) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

series1.5s

Counts
4 → 12
Calls
4 calls:
32.0ms
(* 5.0 (* v v))
24.0ms
(* 5.0 (* v v))
687.0ms
(/ (- (pow 1.0 3) (pow (* 5.0 (* v v)) 3)) (* (* (fma (* 5.0 (* v v)) (+ 1.0 (* 5.0 (* v v))) (* 1.0 1.0)) (* PI t)) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))))
754.0ms
(* (* (fma (* 5.0 (* v v)) (+ 1.0 (* 5.0 (* v v))) (* 1.0 1.0)) (* PI t)) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

simplify63.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
012414139
150013729

prune852.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
56×times-frac
55×add-exp-log add-cbrt-cube
54×add-sqr-sqrt
32×difference-of-squares
30×associate-/l*
24×sqr-pow
20×*-un-lft-identity
19×prod-exp cbrt-unprod
17×cbrt-undiv div-exp
14×pow1
12×add-cube-cbrt
8×unpow-prod-down cube-prod associate-*r/ associate-/r/
7×flip3-- flip--
6×sqrt-div associate-*l* pow-prod-down
4×difference-cubes expm1-log1p-u frac-times log1p-expm1-u div-inv distribute-lft-out-- add-log-exp
3×div-sub associate-/l/
2×frac-2neg associate-*r* associate-*l/ clear-num associate-/r* *-commutative unswap-sqr
Counts
4 → 163
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
6.0ms
(* 5.0 (* v v))
21.0ms
(/ (- (pow 1.0 3) (pow (* 5.0 (* v v)) 3)) (* (fma (* 5.0 (* v v)) (+ 1.0 (* 5.0 (* v v))) (* 1.0 1.0)) (* PI t)))
23.0ms
(/ (/ (- (pow 1.0 3) (pow (* 5.0 (* v v)) 3)) (* (fma (* 5.0 (* v v)) (+ 1.0 (* 5.0 (* v v))) (* 1.0 1.0)) (* PI t))) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

series874.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 5.0 (* v v))
30.0ms
(* 5.0 (* v v))
147.0ms
(/ (- (pow 1.0 3) (pow (* 5.0 (* v v)) 3)) (* (fma (* 5.0 (* v v)) (+ 1.0 (* 5.0 (* v v))) (* 1.0 1.0)) (* PI t)))
672.0ms
(/ (/ (- (pow 1.0 3) (pow (* 5.0 (* v v)) 3)) (* (fma (* 5.0 (* v v)) (+ 1.0 (* 5.0 (* v v))) (* 1.0 1.0)) (* PI t))) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

simplify58.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
09903507
150022941

prune658.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI t)
0.2b
(* 5.0 (* v v))
0.3b
(/ (- 1.0 (* 5.0 (* v v))) (* 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))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
16×add-sqr-sqrt times-frac
13×add-cube-cbrt *-un-lft-identity
12×cbrt-undiv div-exp
11×pow1
10×prod-exp cbrt-unprod associate-/l*
8×associate-*r/ associate-/r/
7×flip3-- flip--
6×sqrt-div associate-*l*
4×expm1-log1p-u frac-times associate-*r* pow-prod-down log1p-expm1-u div-inv add-log-exp
3×div-sub associate-/l/
2×frac-2neg associate-*l/ clear-num associate-/r* *-commutative unswap-sqr
Counts
4 → 116
Calls
4 calls:
4.0ms
(* PI t)
5.0ms
(* 5.0 (* v v))
6.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* 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))))

series731.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* PI t)
24.0ms
(* 5.0 (* v v))
84.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI t))
597.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* PI t)) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

simplify97.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07751404
138591181
250031181

prune334.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

regimes195.0ms

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
02314
12314

end0.0ms

sample1.0s

Algorithm
intervals
Results
390.0ms8000×body80valid
364.0ms7869×body80nan