Details

Time bar (total: 4.6s)

sample82.0ms

Algorithm
intervals
Results
32.0ms95×body2560valid
16.0ms73×body1280valid
12.0ms46×body640valid
7.0ms254×body80nan
2.0ms19×body320valid
1.0ms12×body160valid
1.0ms11×body80valid

simplify98.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0207
1437
2847
31557
42627
54547
628787
750017

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.1b
(* 5.0 (* v v))
0.9b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
12×times-frac
10×add-exp-log add-cbrt-cube
8×pow1
4×associate-/r* difference-of-squares
3×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u associate-/l* add-log-exp
2×flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv acos-asin frac-2neg div-sub div-exp associate-*r* clear-num *-commutative div-inv unswap-sqr
Counts
3 → 69
Calls
3 calls:
10.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
6.0ms
(* 5.0 (* v v))
1.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series112.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
24.0ms
(* 5.0 (* v v))
4.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify39.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0349623
11288567
25001565

prune183.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.9b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.0b
(expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
0.1b
(* 5.0 (* v v))
0.9b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
12×times-frac
11×add-exp-log add-cbrt-cube
9×pow1
4×expm1-log1p-u associate-/r* log1p-expm1-u add-log-exp difference-of-squares
3×associate-*l* pow-prod-down prod-exp cbrt-unprod associate-/l*
2×flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv acos-asin expm1-log1p frac-2neg div-sub div-exp associate-*r* clear-num *-commutative div-inv expm1-udef unswap-sqr
Counts
4 → 80
Calls
4 calls:
11.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.0ms
(expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
6.0ms
(* 5.0 (* v v))
1.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series244.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
132.0ms
(expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
25.0ms
(* 5.0 (* v v))
3.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify46.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0361749
11295678
25001676

prune235.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.9b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(expm1 (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))
0.9b
(acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
2×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube log1p-expm1-u add-log-exp
1×acos-asin expm1-log1p expm1-udef
Counts
2 → 21
Calls
2 calls:
0.0ms
(expm1 (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))
0.0ms
(acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))

series167.0ms

Counts
2 → 6
Calls
2 calls:
160.0ms
(expm1 (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))
6.0ms
(acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))

simplify95.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
042187
166165
2165165
3435165
41921165
55001165

prune86.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(log1p (expm1 (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
0.0b
(expm1 (log1p (acos (log1p (expm1 (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))))
0.1b
(* 5.0 (* v v))
0.9b
(acos (log1p (expm1 (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
6×add-sqr-sqrt
5×add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
1×acos-asin log1p-udef expm1-log1p log1p-expm1 associate-*r* *-commutative expm1-udef unswap-sqr
Counts
4 → 53
Calls
4 calls:
0.0ms
(log1p (expm1 (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
0.0ms
(expm1 (log1p (acos (log1p (expm1 (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))))
6.0ms
(* 5.0 (* v v))
0.0ms
(acos (log1p (expm1 (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

series443.0ms

Counts
4 → 12
Calls
4 calls:
278.0ms
(log1p (expm1 (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
137.0ms
(expm1 (log1p (acos (log1p (expm1 (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))))
24.0ms
(* 5.0 (* v v))
4.0ms
(acos (log1p (expm1 (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

simplify64.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0195532
1572456
21896453
35001453

prune165.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.9b

regimes58.0ms

Accuracy

0% (0.3b remaining)

Error of 0.9b against oracle of 0.6b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0117

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.0s2980×body2560valid
548.0ms2437×body1280valid
225.0ms8120×body80nan
208.0ms1284×body640valid
77.0ms634×body320valid
35.0ms426×body160valid
12.0ms239×body80valid