Details

Time bar (total: 21.4s)

sample224.0ms

Algorithm
intervals
Results
108.0ms95×body2560valid
37.0ms75×body1280valid
20.0ms283×body80nan
18.0ms49×body640valid
5.0ms20×body320valid
2.0ms10×body160valid
1.0ms7×body80valid

simplify929.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0914
12014
24314
38414
415514
525214
693414
done500014

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (* 5.0 (* v v)))
0.0b
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.2b
(* 5.0 (* v v))
0.7b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
12×times-frac
11×add-exp-log add-cbrt-cube
9×pow1
6×add-log-exp
4×expm1-log1p-u associate-/r* log1p-expm1-u difference-of-squares
3×flip3-- fma-neg associate-*l* prod-diff pow-prod-down prod-exp flip-- cbrt-unprod associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv acos-asin sub-neg frac-2neg diff-log div-sub div-exp associate-*r* clear-num *-commutative div-inv unswap-sqr
Counts
4 → 89
Calls
4 calls:
15.0ms
(- 1.0 (* 5.0 (* v v)))
58.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
36.0ms
(* 5.0 (* v v))
3.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series325.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(- 1.0 (* 5.0 (* v v)))
149.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
55.0ms
(* 5.0 (* v v))
9.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify2.7s

Counts
101 → 101
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01631547
14291494
221531364
done50021355

prune604.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.0b
(- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
0.2b
(* 5.0 (* v v))
0.7b
(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
65×add-sqr-sqrt
57×*-un-lft-identity
55×add-cube-cbrt
49×times-frac
39×prod-diff
13×fma-neg
11×add-exp-log add-cbrt-cube
9×pow1
6×add-log-exp difference-of-squares
5×div-inv
4×expm1-log1p-u associate-/r* log1p-expm1-u
3×flip3-- associate-*l* pow-prod-down prod-exp flip-- cbrt-unprod associate-/l*
2×asin-acos associate-/r/ associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp associate-*r* clear-num *-commutative distribute-lft-out-- associate--r- unswap-sqr
Counts
4 → 139
Calls
4 calls:
51.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
53.0ms
(- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
34.0ms
(* 5.0 (* v v))
2.0ms
(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series281.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
66.0ms
(- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
56.0ms
(* 5.0 (* v v))
9.0ms
(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify2.8s

Counts
151 → 151
Iterations

Useful iterations: done (2.8s)

IterNodesCost
02506193
15994205
225393399
done50013331

prune937.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))
0.0b
(+ (/ PI 2) (- (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))))
0.2b
(* 5.0 (pow v 2))
0.7b
(asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt
39×*-un-lft-identity
33×times-frac
27×add-cube-cbrt
16×difference-of-squares
13×fma-def
11×add-exp-log
8×unpow-prod-down associate-*r* associate-/r* add-cbrt-cube add-log-exp
6×unpow2 sqr-pow
4×pow1 expm1-log1p-u log1p-expm1-u distribute-lft-out-- unswap-sqr
3×associate-*l* prod-exp associate-/l*
2×flip3-- sum-log associate-/r/ flip-- div-inv associate-/l/ distribute-lft-out
1×cbrt-undiv +-commutative neg-sub0 pow-to-exp associate-+r- asin-acos distribute-rgt-neg-in frac-2neg flip3-+ div-sub div-exp unsub-neg neg-log pow-exp clear-num *-commutative cbrt-unprod flip-+
Counts
4 → 125
Calls
4 calls:
61.0ms
(/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))
53.0ms
(+ (/ PI 2) (- (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))))
25.0ms
(* 5.0 (pow v 2))
3.0ms
(asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))

series284.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))
59.0ms
(+ (/ PI 2) (- (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))))
62.0ms
(* 5.0 (pow v 2))
8.0ms
(asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))

simplify2.1s

Counts
137 → 137
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02152283
15272170
221351969
done50001963

prune950.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.7b

localize69.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt 2)
1.0b
(cbrt 2)
1.0b
(/ (* (cbrt PI) (cbrt PI)) (* (cbrt 2) (cbrt 2)))
1.0b
(* (cbrt PI) (cbrt PI))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
22×cbrt-prod add-sqr-sqrt
18×add-exp-log
14×add-cube-cbrt *-un-lft-identity
11×pow1
8×pow1/3 add-cbrt-cube
6×swap-sqr associate-*r* associate-*l*
5×prod-exp cbrt-unprod
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-2neg times-frac pow-plus clear-num associate-/r* *-commutative div-inv associate-/l*
Counts
4 → 91
Calls
4 calls:
2.0ms
(cbrt 2)
2.0ms
(cbrt 2)
36.0ms
(/ (* (cbrt PI) (cbrt PI)) (* (cbrt 2) (cbrt 2)))
21.0ms
(* (cbrt PI) (cbrt PI))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(cbrt 2)
0.0ms
(cbrt 2)
0.0ms
(/ (* (cbrt PI) (cbrt PI)) (* (cbrt 2) (cbrt 2)))
0.0ms
(* (cbrt PI) (cbrt PI))

simplify1.2s

Counts
95 → 95
Iterations

Useful iterations: done (1.1s)

IterNodesCost
098901
1232832
21071732
done5000636

prune677.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.7b

regimes75.0ms

Accuracy

0% (0.0b remaining)

Error of 0.5b against oracle of 0.5b and baseline of 0.5b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01419
11619
done1619

end0.0ms

sample6.7s

Algorithm
intervals
Results
2.4s2972×body2560valid
2.2s2584×body1280valid
700.0ms8122×body80nan
524.0ms1266×body640valid
153.0ms589×body320valid
73.0ms416×body160valid
17.0ms173×body80valid