Details

Time bar (total: 5.4s)

sample83.0ms

Algorithm
intervals
Results
32.0ms93×body2560valid
18.0ms81×body1280valid
9.0ms250×body80nan
6.0ms40×body640valid
3.0ms25×body320valid
1.0ms12×body160valid
0.0ms5×body80valid

simplify96.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0197
1427
2777
31467
42427
54177
627897
750017

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize8.0ms

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))
0.5b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite44.0ms

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×associate-*l* pow-prod-down prod-exp cbrt-unprod 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 → 63
Calls
3 calls:
22.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
16.0ms
(* 5.0 (* v v))
2.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series101.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
23.0ms
(* 5.0 (* v v))
4.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify39.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0336587
11261535
25002531

prune148.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v))))
0.0b
(/ 1 (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v)))))
0.2b
(* 5.0 (* v v))
0.5b
(acos (/ 1 (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v))))))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
82×add-sqr-sqrt
65×add-cube-cbrt *-un-lft-identity
22×add-exp-log
21×associate-/r*
16×add-cbrt-cube difference-of-squares
11×associate-/r/
10×pow1
8×div-exp
7×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv add-log-exp
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×acos-asin pow-flip div-sub associate-*r* *-commutative inv-pow unswap-sqr
Counts
4 → 159
Calls
4 calls:
24.0ms
(/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v))))
24.0ms
(/ 1 (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v)))))
16.0ms
(* 5.0 (* v v))
1.0ms
(acos (/ 1 (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v))))))

series180.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v))))
78.0ms
(/ 1 (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v)))))
26.0ms
(* 5.0 (* v v))
4.0ms
(acos (/ 1 (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v))))))

simplify83.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06801976
131201790
250021691

prune281.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize12.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
1.0b
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
11.0ms
(* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
1.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))

series540.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
127.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
131.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
125.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))

simplify86.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (75.0ms)

IterNodesCost
01171278
14171112
226981044
350011031

prune177.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize18.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b
(* (cbrt (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (cbrt (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
63×cbrt-prod
37×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3 swap-sqr associate-*r* associate-*l* unswap-sqr
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
1.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
4.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
15.0ms
(* (cbrt (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (cbrt (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))

series545.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
127.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
133.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
152.0ms
(* (cbrt (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (cbrt (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))

simplify74.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (60.0ms)

IterNodesCost
01421832
14531685
220781517
350011479

prune261.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.5b

regimes111.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107
1107

end0.0ms

sample2.4s

Algorithm
intervals
Results
982.0ms2934×body2560valid
571.0ms2549×body1280valid
223.0ms8063×body80nan
200.0ms1255×body640valid
75.0ms658×body320valid
33.0ms413×body160valid
9.0ms191×body80valid