Details

Time bar (total: 3.1s)

sample20.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
5.0ms251×body80nan

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
043

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: 0.3b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ a (neg (acos a)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
30×times-frac
24×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×distribute-lft-neg-in distribute-rgt-neg-in
10×associate-/r*
4×neg-mul-1
3×add-exp-log add-cbrt-cube associate-/l*
1×pow1 cbrt-undiv frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 55
Calls
1 calls:
4.0ms
(/ a (neg (acos a)))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(/ a (neg (acos a)))

simplify97.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (34.0ms)

IterNodesCost
0164371
1483359
21375359
33633358
45001358

prune91.0ms

Filtered
58 candidates to 42 candidates (72.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New50858
Fresh000
Picked011
Done000
Total50959

Merged error: 0.1b

Counts
59 → 9

localize5.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (/ (neg (acos a)) a))
0.3b
(/ (neg (acos a)) a)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
252×times-frac
140×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
48×distribute-lft-neg-in distribute-rgt-neg-in
37×associate-/r*
16×neg-mul-1
15×add-exp-log
13×associate-/l*
9×add-cbrt-cube
8×div-exp
6×div-inv
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×neg-sub0 pow-flip div-sub distribute-frac-neg associate-/r/ inv-pow
Counts
2 → 217
Calls
2 calls:
9.0ms
(/ 1 (/ (neg (acos a)) a))
4.0ms
(/ (neg (acos a)) a)

series56.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ 1 (/ (neg (acos a)) a))
34.0ms
(/ (neg (acos a)) a)

simplify75.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
06591893
129531699
250031507

prune212.0ms

Filtered
223 candidates to 105 candidates (47.1%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New2185223
Fresh347
Picked011
Done011
Total22111232

Merged error: 0.0b

Counts
232 → 11

localize6.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (* (neg (acos a)) (/ 1 a)))
0.4b
(* (neg (acos a)) (/ 1 a))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
21×add-sqr-sqrt
18×div-exp
16×prod-exp add-cbrt-cube
15×*-un-lft-identity
14×add-cube-cbrt times-frac
13×associate-*r*
10×associate-*l*
9×rec-exp 1-exp
7×pow1
5×cbrt-undiv
4×cbrt-unprod
3×distribute-lft-neg-in distribute-rgt-neg-in associate-/l* unswap-sqr
2×pow-flip associate-*r/ pow-prod-down associate-/r/ un-div-inv div-inv add-log-exp
1×distribute-lft-neg-out neg-mul-1 frac-2neg clear-num associate-/r* *-commutative inv-pow
Counts
2 → 84
Calls
2 calls:
7.0ms
(/ 1 (* (neg (acos a)) (/ 1 a)))
8.0ms
(* (neg (acos a)) (/ 1 a))

series60.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(/ 1 (* (neg (acos a)) (/ 1 a)))
37.0ms
(* (neg (acos a)) (/ 1 a))

simplify38.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0351504
11643400
25001379

prune98.0ms

Filtered
90 candidates to 47 candidates (52.2%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New90090
Fresh088
Picked011
Done022
Total9011101

Merged error: 0.0b

Counts
101 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (/ (neg (acos a)) a))
0.5b
(cbrt (/ (neg (acos a)) a))
0.5b
(cbrt (/ (neg (acos a)) a))
0.6b
(* (cbrt (/ (neg (acos a)) a)) (cbrt (/ (neg (acos a)) a)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
262×cbrt-prod
228×times-frac
176×add-sqr-sqrt
164×*-un-lft-identity
152×add-cube-cbrt
69×distribute-rgt-neg-in
63×distribute-lft-neg-in
43×swap-sqr
37×associate-*r* associate-*l*
21×neg-mul-1
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 276
Calls
4 calls:
4.0ms
(cbrt (/ (neg (acos a)) a))
4.0ms
(cbrt (/ (neg (acos a)) a))
4.0ms
(cbrt (/ (neg (acos a)) a))
33.0ms
(* (cbrt (/ (neg (acos a)) a)) (cbrt (/ (neg (acos a)) a)))

series684.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(cbrt (/ (neg (acos a)) a))
159.0ms
(cbrt (/ (neg (acos a)) a))
158.0ms
(cbrt (/ (neg (acos a)) a))
213.0ms
(* (cbrt (/ (neg (acos a)) a)) (cbrt (/ (neg (acos a)) a)))

simplify76.0ms

Algorithm
egg-herbie
Counts
288 → 288
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04773350
115853280
250023167

prune780.0ms

Filtered
288 candidates to 215 candidates (74.7%)
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New2871288
Fresh077
Picked011
Done033
Total28712299

Merged error: 0.0b

Counts
299 → 12

regimes67.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043

end0.0ms

sample550.0ms

Algorithm
intervals
Results
211.0ms8000×body80valid
156.0ms8152×body80nan

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