Details

Time bar (total: 5.5s)

sample128.0ms

Algorithm
intervals
Results
52.0ms102×body2560valid
28.0ms69×body1280valid
17.0ms248×body80nan
10.0ms37×body640valid
4.0ms20×body320valid
4.0ms26×body160valid
0.0ms2×body80valid

simplify93.0ms

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: 0.7b

localize7.0ms

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))
0.7b
(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×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:
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)))

series111.0ms

Counts
3 → 9
Calls
3 calls:
82.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
24.0ms
(* 5.0 (* v v))
3.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify38.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0336587
11261535
25002531

prune160.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.7b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
19×pow1 add-exp-log add-cbrt-cube
10×add-sqr-sqrt
9×associate-*l* pow-prod-down prod-exp cbrt-unprod
7×add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×associate-*r* *-commutative unswap-sqr
1×acos-asin
Counts
4 → 65
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
6.0ms
(* 5.0 (* v v))
6.0ms
(* 5.0 (* v v))
0.0ms
(acos (/ (- (* 1.0 1.0) (* (* 5.0 (* v v)) (* 5.0 (* v v)))) (* (- (* v v) 1.0) (+ 1.0 (* 5.0 (* v v))))))

series83.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 5.0 (* v v))
29.0ms
(* 5.0 (* v v))
24.0ms
(* 5.0 (* v v))
6.0ms
(acos (/ (- (* 1.0 1.0) (* (* 5.0 (* v v)) (* 5.0 (* v v)))) (* (- (* v v) 1.0) (+ 1.0 (* 5.0 (* v v))))))

simplify51.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0148434
1533358
21856358
35001358

prune149.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.2b
(* 5.0 (* v v))
0.2b
(* 5.0 (* v v))
0.7b
(asin (/ (- (* 1.0 1.0) (* (* 5.0 (* v v)) (* 5.0 (* v v)))) (* (- (* v v) 1.0) (+ 1.0 (* 5.0 (* v v))))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
19×pow1 add-exp-log add-cbrt-cube
10×add-sqr-sqrt
9×associate-*l* pow-prod-down prod-exp cbrt-unprod
7×add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×associate-*r* *-commutative unswap-sqr
1×asin-acos
Counts
4 → 65
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
10.0ms
(* 5.0 (* v v))
6.0ms
(* 5.0 (* v v))
0.0ms
(asin (/ (- (* 1.0 1.0) (* (* 5.0 (* v v)) (* 5.0 (* v v)))) (* (- (* v v) 1.0) (+ 1.0 (* 5.0 (* v v))))))

series87.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* 5.0 (* v v))
26.0ms
(* 5.0 (* v v))
24.0ms
(* 5.0 (* v v))
6.0ms
(asin (/ (- (* 1.0 1.0) (* (* 5.0 (* v v)) (* 5.0 (* v v)))) (* (- (* v v) 1.0) (+ 1.0 (* 5.0 (* v v))))))

simplify52.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0148434
1533358
21856358
35001358

prune162.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.7b

localize10.0ms

Local error

Found 4 expressions with local error:

0.7b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
0.9b
(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
0.9b
(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b
(* (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square
1×pow2 acos-asin pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 83
Calls
4 calls:
0.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
1.0ms
(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0ms
(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
7.0ms
(* (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

series45.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
17.0ms
(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
21.0ms
(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
4.0ms
(* (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

simplify110.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 3 (100.0ms)

IterNodesCost
01251002
1427888
22342844
35002813

prune142.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.7b

regimes92.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02017
12017

end0.0ms

sample3.8s

Algorithm
intervals
Results
1.5s2979×body2560valid
946.0ms2515×body1280valid
531.0ms7769×body80nan
361.0ms1256×body640valid
137.0ms639×body320valid
64.0ms410×body160valid
20.0ms201×body80valid