Details

Time bar (total: 9.9s)

sample78.0ms

Algorithm
intervals
Results
35.0ms256×body80valid
27.0ms230×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: 0.6b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* 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))))))

rewrite81.0ms

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:
6.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
55.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
14.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series892.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* 5.0 (* v v))
42.0ms
(* PI t)
628.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
189.0ms
(* (* 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

prune352.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.4b
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
0.4b
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.5b
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))

rewrite147.0ms

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 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 → 104
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
26.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
11.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
100.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))

series978.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* 5.0 (* v v))
194.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
156.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
596.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))

simplify103.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
08001361
142751195
250021195

prune537.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite269.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log add-cbrt-cube
48×associate-*r/
36×add-sqr-sqrt
34×prod-exp cbrt-unprod
32×pow1
20×distribute-rgt-in distribute-lft-in
19×pow-prod-down
17×*-un-lft-identity
16×difference-of-squares
14×flip3-- sqrt-div flip--
13×add-cube-cbrt times-frac associate-/l*
12×prod-diff sqr-pow
8×frac-times associate-/r/
7×cbrt-undiv div-exp associate-*l*
6×associate-*r*
4×expm1-log1p-u sub-neg unpow-prod-down cube-prod associate-*l/ log1p-expm1-u add-log-exp
3×*-commutative
2×difference-cubes associate-/l/ distribute-lft-out-- unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 166
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
106.0ms
(* (* (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))))
11.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
138.0ms
(/ (- (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)))))

series1.5s

Counts
4 → 12
Calls
4 calls:
23.0ms
(* 5.0 (* v v))
713.0ms
(* (* (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))))
148.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
649.0ms
(/ (- (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)))))

simplify67.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
013434280
150023864

prune701.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log add-cbrt-cube
43×times-frac
36×add-sqr-sqrt
19×prod-exp cbrt-unprod
18×associate-*r/
17×associate-/l*
16×pow1 *-un-lft-identity difference-of-squares
15×cbrt-undiv div-exp
12×add-cube-cbrt sqr-pow
9×associate-*l*
8×sqrt-div associate-/r/
7×flip3-- pow-prod-down flip--
6×associate-*r*
4×expm1-log1p-u frac-times unpow-prod-down cube-prod log1p-expm1-u add-log-exp
3×*-commutative div-inv unswap-sqr
2×difference-cubes div-sub associate-*l/ distribute-lft-out--
1×frac-2neg clear-num associate-/r* sqrt-prod associate-/l/
Counts
4 → 140
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
6.0ms
(* 5.0 (* v v))
68.0ms
(/ (/ (- (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))))
11.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series871.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 5.0 (* v v))
24.0ms
(* 5.0 (* v v))
669.0ms
(/ (/ (- (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))))
154.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify58.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
010082818
150022351

prune533.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes104.0ms

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
03324
13324

end0.0ms

sample2.2s

Algorithm
intervals
Results
994.0ms8000×body80valid
958.0ms8091×body80nan