Details

Time bar (total: 5.0s)

sample82.0ms

Algorithm
intervals
Results
32.0ms94×body2560valid
17.0ms74×body1280valid
12.0ms52×body640valid
6.0ms234×body80nan
2.0ms20×body320valid
1.0ms11×body160valid
0.0ms5×body80valid

simplify103.0ms

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.1b
(* 5.0 (* v v))
0.2b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite16.0ms

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

series107.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(/ (- 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)))

simplify41.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0349623
11288567
25001565

prune169.0ms

Filtered
78 candidates to 61 candidates (78.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

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)))))
0.1b
(* 5.0 (* v v))
0.2b
(acos (/ 1 (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v))))))

rewrite33.0ms

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 expm1-log1p-u log1p-expm1-u 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 → 167
Calls
4 calls:
8.0ms
(/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v))))
10.0ms
(/ 1 (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v)))))
5.0ms
(* 5.0 (* v v))
1.0ms
(acos (/ 1 (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v))))))

series186.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v))))
79.0ms
(/ 1 (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v)))))
25.0ms
(* 5.0 (* v v))
4.0ms
(acos (/ 1 (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v))))))

simplify86.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
07012028
131971833
250011733

prune317.0ms

Filtered
179 candidates to 109 candidates (60.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(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))))
1.0b
(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))))
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)))))

series43.0ms

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))))
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)))))

simplify124.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 3 (110.0ms)

IterNodesCost
01321070
1439956
22385912
35002881

prune173.0ms

Filtered
103 candidates to 57 candidates (55.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

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))))

rewrite11.0ms

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:
5.0ms
(* (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))))

series555.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
129.0ms
(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))))
131.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))

simplify93.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
01221368
14221202
227161134
350011121

prune205.0ms

Filtered
93 candidates to 64 candidates (68.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

regimes109.0ms

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
0148
1148

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.1s2990×body2560valid
596.0ms2513×body1280valid
224.0ms8183×body80nan
211.0ms1260×body640valid
78.0ms634×body320valid
33.0ms403×body160valid
10.0ms200×body80valid