Details

Time bar (total: 4.6s)

sample95.0ms

Algorithm
intervals
Results
37.0ms93×body2560valid
23.0ms82×body1280valid
11.0ms294×body80nan
7.0ms37×body640valid
2.0ms17×body320valid
2.0ms16×body160valid
1.0ms11×body80valid

simplify100.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0207
1437
2847
31557
42627
54547
628787
750017

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.0b

Counts
2 → 1

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

rewrite20.0ms

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:
8.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
9.0ms
(* 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 (32.0ms)

IterNodesCost
0349623
11288567
25001565

prune158.0ms

Filtered
78 candidates to 61 candidates (78.2%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New74478
Fresh000
Picked101
Done000
Total75479

Merged error: 0.9b

Counts
79 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
0.0b
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.2b
(* 5.0 (* v v))
0.9b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
12×times-frac
11×add-exp-log add-cbrt-cube
9×pow1
4×expm1-log1p-u associate-/r* log1p-expm1-u add-log-exp difference-of-squares
3×associate-*l* pow-prod-down prod-exp cbrt-unprod associate-/l*
2×flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv acos-asin expm1-log1p frac-2neg div-sub div-exp associate-*r* clear-num *-commutative div-inv expm1-udef unswap-sqr
Counts
4 → 80
Calls
4 calls:
1.0ms
(expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
8.0ms
(/ (- 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)))

series252.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
84.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
24.0ms
(* 5.0 (* v v))
4.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify40.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0361749
11295678
25001676

prune189.0ms

Filtered
92 candidates to 68 candidates (73.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New90292
Fresh213
Picked011
Done000
Total92496

Merged error: 0.9b

Counts
96 → 4

localize8.0ms

Local error

Found 1 expressions with local error:

1.0b
(acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log acos-asin add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))

simplify95.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03093
15482
215382
342382
4190982
5500182

prune44.0ms

Filtered
13 candidates to 10 candidates (76.9%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New10313
Fresh022
Picked101
Done101
Total12517

Merged error: 0.9b

Counts
17 → 5

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ PI 2) (asin (fma 4.0 (fma v v (pow v 4)) (- 1.0))))
1.0b
(asin (fma 4.0 (fma v v (pow v 4)) (- 1.0)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
45×*-un-lft-identity
43×add-cube-cbrt
39×prod-diff
37×times-frac
13×fma-neg
4×div-inv add-log-exp
2×pow1 add-exp-log expm1-log1p-u asin-acos add-cbrt-cube log1p-expm1-u difference-of-squares
1×sub-neg flip3-- diff-log flip-- distribute-lft-out-- associate--r-
Counts
2 → 80
Calls
2 calls:
9.0ms
(- (/ PI 2) (asin (fma 4.0 (fma v v (pow v 4)) (- 1.0))))
1.0ms
(asin (fma 4.0 (fma v v (pow v 4)) (- 1.0)))

series42.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(- (/ PI 2) (asin (fma 4.0 (fma v v (pow v 4)) (- 1.0))))
7.0ms
(asin (fma 4.0 (fma v v (pow v 4)) (- 1.0)))

simplify164.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (149.0ms)

IterNodesCost
02621948
17051130
237131107
350011078

prune144.0ms

Filtered
86 candidates to 45 candidates (52.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New84286
Fresh224
Picked011
Done000
Total86591

Merged error: 0.9b

Counts
91 → 5

regimes122.0ms

Accuracy

0% (0.2b remaining)

Error of 0.8b against oracle of 0.6b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0137

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.2s3016×body2560valid
701.0ms2485×body1280valid
314.0ms7948×body80nan
250.0ms1190×body640valid
102.0ms649×body320valid
47.0ms451×body160valid
12.0ms209×body80valid

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