Details

Time bar (total: 23.9s)

sample157.0ms

Algorithm
intervals
Results
72.0ms105×body2560valid
32.0ms80×body1280valid
16.0ms288×body80nan
11.0ms37×body640valid
4.0ms21×body320valid
1.0ms7×body160valid
0.0ms6×body80valid

simplify5.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
12014
24314
38414
415514
524114
633014
748214
8110714
done500114

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.2b
(* 5.0 (* v v))
0.4b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite57.0ms

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:
26.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
25.0ms
(* 5.0 (* v v))
1.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series142.0ms

Counts
3 → 9
Calls
3 calls:
109.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
28.0ms
(* 5.0 (* v v))
5.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify2.5s

Counts
78 → 78
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01451268
13351223
210141120
333001118
done50011116

prune275.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 6) (pow 1.0 3))) (+ (* (* v v) (* v v)) (+ (* 1.0 1.0) (* (* v v) 1.0))))
0.1b
(* (* v v) (* v v))
0.2b
(* 5.0 (pow v 2))
0.4b
(acos (* (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 6) (pow 1.0 3))) (+ (* (* v v) (* v v)) (+ (* 1.0 1.0) (* (* v v) 1.0)))))

rewrite375.0ms

Algorithm
rewrite-expression-head
Rules
117×pow1
90×add-sqr-sqrt
58×associate-*l*
49×times-frac
36×pow-prod-up difference-of-squares
34×*-un-lft-identity
28×add-cube-cbrt
26×add-exp-log
25×unpow-prod-down
24×pow-prod-down
23×add-cbrt-cube sqr-pow
22×pow-sqr
18×pow-plus
13×pow2 prod-exp
12×associate-*r*
11×cbrt-unprod
9×cube-prod
7×unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative distribute-lft-out--
2×frac-times flip3-+ associate-*r/ associate-/r/ flip-+ unpow2
1×cbrt-undiv distribute-rgt-in acos-asin pow-to-exp flip3-- distribute-lft-in swap-sqr div-exp associate-*l/ pow-exp flip-- div-inv
Counts
4 → 185
Calls
4 calls:
310.0ms
(* (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 6) (pow 1.0 3))) (+ (* (* v v) (* v v)) (+ (* 1.0 1.0) (* (* v v) 1.0))))
35.0ms
(* (* v v) (* v v))
12.0ms
(* 5.0 (pow v 2))
3.0ms
(acos (* (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 6) (pow 1.0 3))) (+ (* (* v v) (* v v)) (+ (* 1.0 1.0) (* (* v v) 1.0)))))

series365.0ms

Counts
4 → 12
Calls
4 calls:
257.0ms
(* (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 6) (pow 1.0 3))) (+ (* (* v v) (* v v)) (+ (* 1.0 1.0) (* (* v v) 1.0))))
42.0ms
(* (* v v) (* v v))
48.0ms
(* 5.0 (pow v 2))
17.0ms
(acos (* (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 6) (pow 1.0 3))) (+ (* (* v v) (* v v)) (+ (* 1.0 1.0) (* (* v v) 1.0)))))

simplify2.7s

Counts
197 → 197
Iterations

Useful iterations: 2 (1.3s)

IterNodesCost
03004523
110113469
243783114
done50003114

prune771.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 6) (pow 1.0 3))) (fma 1.0 (+ 1.0 (* v v)) (pow v 4)))
0.0b
(exp (log (acos (* (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 6) (pow 1.0 3))) (fma 1.0 (+ 1.0 (* v v)) (pow v 4))))))
0.2b
(* 5.0 (pow v 2))
0.4b
(acos (* (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 6) (pow 1.0 3))) (fma 1.0 (+ 1.0 (* v v)) (pow v 4))))

rewrite211.0ms

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt
57×associate-*l*
49×times-frac
36×*-un-lft-identity difference-of-squares
30×add-cube-cbrt
25×unpow-prod-down
23×sqr-pow
14×add-exp-log
11×associate-*r* add-cbrt-cube
9×cube-prod
7×pow1
6×unswap-sqr
5×prod-exp
4×expm1-log1p-u exp-prod log1p-expm1-u add-log-exp
3×log-prod exp-sum cbrt-unprod distribute-lft-out--
2×associate-/r/ *-commutative fma-udef unpow2
1×cbrt-undiv distribute-rgt-in acos-asin pow-to-exp flip3-- distribute-lft-in div-exp pow-prod-down associate-*l/ pow-exp log-pow flip-- div-inv rem-exp-log
Counts
4 → 133
Calls
4 calls:
172.0ms
(* (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 6) (pow 1.0 3))) (fma 1.0 (+ 1.0 (* v v)) (pow v 4)))
3.0ms
(exp (log (acos (* (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 6) (pow 1.0 3))) (fma 1.0 (+ 1.0 (* v v)) (pow v 4))))))
20.0ms
(* 5.0 (pow v 2))
1.0ms
(acos (* (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 6) (pow 1.0 3))) (fma 1.0 (+ 1.0 (* v v)) (pow v 4))))

series252.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(* (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 6) (pow 1.0 3))) (fma 1.0 (+ 1.0 (* v v)) (pow v 4)))
10.0ms
(exp (log (acos (* (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 6) (pow 1.0 3))) (fma 1.0 (+ 1.0 (* v v)) (pow v 4))))))
35.0ms
(* 5.0 (pow v 2))
17.0ms
(acos (* (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 6) (pow 1.0 3))) (fma 1.0 (+ 1.0 (* v v)) (pow v 4))))

simplify1.4s

Counts
145 → 145
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02693841
16023719
218173227
done50023215

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.4b

localize65.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (pow v 2))
0.2b
(* 5.0 (pow v 2))
0.4b
(acos (/ (* (- 1.0 (* 5.0 (pow v 2))) (fma 1.0 (fma v v 1.0) (pow v 4))) (- (pow v 6) (pow 1.0 3))))
0.4b
(acos (* (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 6) (pow 1.0 3))) (fma 1.0 (+ 1.0 (* v v)) (pow v 4))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
16×associate-*r*
14×add-exp-log
10×add-cube-cbrt *-un-lft-identity
8×unpow-prod-down add-cbrt-cube unswap-sqr
6×associate-*l* prod-exp
4×pow1 expm1-log1p-u log1p-expm1-u unpow2 add-log-exp sqr-pow
2×acos-asin pow-to-exp pow-exp *-commutative cbrt-unprod
Counts
4 → 78
Calls
4 calls:
12.0ms
(* 5.0 (pow v 2))
12.0ms
(* 5.0 (pow v 2))
1.0ms
(acos (/ (* (- 1.0 (* 5.0 (pow v 2))) (fma 1.0 (fma v v 1.0) (pow v 4))) (- (pow v 6) (pow 1.0 3))))
2.0ms
(acos (* (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 6) (pow 1.0 3))) (fma 1.0 (+ 1.0 (* v v)) (pow v 4))))

series83.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* 5.0 (pow v 2))
35.0ms
(* 5.0 (pow v 2))
9.0ms
(acos (/ (* (- 1.0 (* 5.0 (pow v 2))) (fma 1.0 (fma v v 1.0) (pow v 4))) (- (pow v 6) (pow 1.0 3))))
10.0ms
(acos (* (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 6) (pow 1.0 3))) (fma 1.0 (+ 1.0 (* v v)) (pow v 4))))

simplify1.4s

Counts
90 → 90
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01031354
11971292
24041122
312541122
done50011116

prune848.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.4b

regimes144.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02229
12529
done2529

end0.0ms

sample6.0s

Algorithm
intervals
Results
2.7s2976×body2560valid
1.7s2527×body1280valid
493.0ms8051×body80nan
361.0ms1215×body640valid
260.0ms649×body320valid
65.0ms422×body160valid
18.0ms211×body80valid