Details

Time bar (total: 5.7s)

sample85.0ms

Algorithm
intervals
Results
35.0ms94×body2560valid
17.0ms77×body1280valid
8.0ms274×body80nan
8.0ms46×body640valid
2.0ms15×body320valid
2.0ms19×body160valid
0.0ms5×body80valid

simplify99.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 0.7b

Counts
2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.0b
(- 1.0 (* 5.0 (* v v)))
0.1b
(* 5.0 (* v v))
0.7b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite22.0ms

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:
8.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
3.0ms
(- 1.0 (* 5.0 (* v v)))
6.0ms
(* 5.0 (* v v))
1.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series185.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
64.0ms
(- 1.0 (* 5.0 (* v v)))
26.0ms
(* 5.0 (* v v))
4.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify49.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0391750
11491682
25002678

prune247.0ms

Filtered
101 candidates to 78 candidates (77.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New992101
Fresh000
Picked011
Done000
Total993102

Merged error: 0.7b

Counts
102 → 3

localize11.0ms

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)))))

rewrite13.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 91
Calls
4 calls:
1.0ms
(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))))
6.0ms
(* (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

series48.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
22.0ms
(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
18.0ms
(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)))))

simplify113.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 3 (101.0ms)

IterNodesCost
01321070
1439956
22385912
35002881

prune181.0ms

Filtered
103 candidates to 56 candidates (54.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1012103
Fresh011
Picked011
Done011
Total1015106

Merged error: 0.7b

Counts
106 → 5

localize12.0ms

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

rewrite12.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 81
Calls
4 calls:
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))))
6.0ms
(* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

series809.0ms

Counts
4 → 12
Calls
4 calls:
343.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
148.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
141.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
177.0ms
(* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

simplify90.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (77.0ms)

IterNodesCost
01221368
14301202
227231134
350021121

prune219.0ms

Filtered
93 candidates to 64 candidates (68.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New92193
Fresh022
Picked011
Done022
Total92698

Merged error: 0.7b

Counts
98 → 6

localize19.0ms

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))))))

rewrite15.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
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))))
8.0ms
(* (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))))))

series578.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
138.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
134.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
167.0ms
(* (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))))))

simplify79.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
01471926
14581779
220941611
350011573

prune304.0ms

Filtered
107 candidates to 74 candidates (69.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1034107
Fresh112
Picked101
Done213
Total1076113

Merged error: 0.7b

Counts
113 → 6

regimes123.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107
1107

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.0s2983×body2560valid
577.0ms2509×body1280valid
229.0ms8022×body80nan
208.0ms1236×body640valid
74.0ms622×body320valid
37.0ms442×body160valid
10.0ms208×body80valid