Details

Time bar (total: 4.6s)

sample77.0ms

Algorithm
intervals
Results
31.0ms94×body2560valid
16.0ms73×body1280valid
7.0ms250×body80nan
7.0ms43×body640valid
3.0ms25×body320valid
1.0ms16×body160valid
0.0ms5×body80valid

simplify97.0ms

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: 0.6b

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))
0.6b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite23.0ms

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)))

series113.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
25.0ms
(* 5.0 (* v v))
4.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify40.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0349623
11288567
25001565

prune177.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))
0.2b
(* 5.0 (* v v))
0.2b
(* 5.0 (* v v))
0.6b
(acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
32×associate-*r*
28×times-frac
23×add-cube-cbrt *-un-lft-identity
20×sqrt-prod
19×add-exp-log add-cbrt-cube
16×pow1
12×associate-*l*
8×prod-exp cbrt-unprod unswap-sqr
7×pow-prod-down
6×difference-of-squares
4×expm1-log1p-u sqrt-div log1p-expm1-u add-log-exp
3×flip3-- *-commutative flip--
2×frac-times associate-*l/ associate-/r/
1×cbrt-undiv acos-asin associate-*r/ div-exp div-inv
Counts
4 → 114
Calls
4 calls:
31.0ms
(* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))
7.0ms
(* 5.0 (* v v))
6.0ms
(* 5.0 (* v v))
0.0ms
(acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))

series140.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))
25.0ms
(* 5.0 (* v v))
28.0ms
(* 5.0 (* v v))
4.0ms
(acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))

simplify58.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04551299
119591110
250011058

prune291.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (log (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))))
0.2b
(* 5.0 (* v v))
0.2b
(* 5.0 (* v v))
0.6b
(acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1
14×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×associate-*l* pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u exp-prod log1p-expm1-u add-log-exp
3×log-prod exp-sum
2×associate-*r* *-commutative unswap-sqr
1×acos-asin log-pow rem-exp-log
Counts
4 → 69
Calls
4 calls:
1.0ms
(exp (log (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))))
6.0ms
(* 5.0 (* v v))
6.0ms
(* 5.0 (* v v))
0.0ms
(acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))

series62.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(exp (log (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))))
24.0ms
(* 5.0 (* v v))
30.0ms
(* 5.0 (* v v))
4.0ms
(acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))

simplify120.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
0160686
1411596
21055560
33529542
45002542

prune235.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.6b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.2b
(* 5.0 (* v v))
0.6b
(acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))
0.6b
(acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×acos-asin associate-*r* *-commutative unswap-sqr
Counts
4 → 62
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
7.0ms
(* 5.0 (* v v))
1.0ms
(acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))
1.0ms
(acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))

series62.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 5.0 (* v v))
30.0ms
(* 5.0 (* v v))
4.0ms
(acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))
4.0ms
(acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))

simplify123.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0126568
1358484
2975472
33298472
45003472

prune323.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.6b

regimes154.0ms

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
02726
12726

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.0s3012×body2560valid
565.0ms2513×body1280valid
215.0ms7845×body80nan
197.0ms1219×body640valid
71.0ms610×body320valid
38.0ms442×body160valid
10.0ms204×body80valid