Details

Time bar (total: 27.6s)

sample21.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
5.0ms275×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: 0.2b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ a (neg (acos a)))

rewrite12.0ms

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:
8.0ms
(/ a (neg (acos a)))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(/ a (neg (acos a)))

simplify91.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
0164371
1483359
21375359
33633358
45001358

prune91.0ms

Filtered
58 candidates to 42 candidates (72.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New51758
Fresh000
Picked011
Done000
Total51859

Merged error: 0.1b

Counts
59 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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:
4.0ms
(/ (neg (acos a)) a)
9.0ms
(/ 1 (/ (neg (acos a)) a))

series62.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ (neg (acos a)) a)
29.0ms
(/ 1 (/ (neg (acos a)) a))

simplify72.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
06591893
129531699
250011507

prune221.0ms

Filtered
223 candidates to 106 candidates (47.5%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New2203223
Fresh156
Picked011
Done011
Total22110231

Merged error: 0.0b

Counts
231 → 10

localize6.0ms

Local error

Found 2 expressions with local error:

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

series59.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ 1 (* (neg (acos a)) (/ 1 a)))
32.0ms
(* (neg (acos a)) (/ 1 a))

simplify38.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0351504
11643400
25001379

prune96.0ms

Filtered
90 candidates to 47 candidates (52.2%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New89190
Fresh077
Picked011
Done022
Total8911100

Merged error: 0.0b

Counts
100 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ (/ 1 (cbrt (/ (neg (acos a)) a))) (cbrt (/ (neg (acos a)) a))) (/ 1 (cbrt (/ (neg (acos a)) a))))
0.5b
(cbrt (/ (neg (acos a)) a))
0.5b
(cbrt (/ (neg (acos a)) a))
0.5b
(cbrt (/ (neg (acos a)) a))

rewrite5.8s

Algorithm
rewrite-expression-head
Rules
16048×times-frac
8196×cbrt-prod
7070×add-sqr-sqrt
6471×*-un-lft-identity
6339×add-cube-cbrt
4297×associate-*l*
2097×distribute-lft-neg-in distribute-rgt-neg-in
699×neg-mul-1
280×div-inv
161×unswap-sqr
116×associate-*r*
69×add-exp-log
42×cbrt-div
39×associate-/r/
34×div-exp
20×prod-exp
16×add-cbrt-cube
14×pow1
9×cbrt-undiv rec-exp 1-exp
6×pow-flip pow1/3 cbrt-unprod
5×pow-prod-up pow-div
4×inv-pow add-log-exp
1×frac-times associate-*r/ pow3 pow-prod-down associate-*l/ un-div-inv *-commutative
Counts
4 → 4748
Calls
4 calls:
4.9s
(* (/ (/ 1 (cbrt (/ (neg (acos a)) a))) (cbrt (/ (neg (acos a)) a))) (/ 1 (cbrt (/ (neg (acos a)) a))))
4.0ms
(cbrt (/ (neg (acos a)) a))
4.0ms
(cbrt (/ (neg (acos a)) a))
4.0ms
(cbrt (/ (neg (acos a)) a))

series563.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(* (/ (/ 1 (cbrt (/ (neg (acos a)) a))) (cbrt (/ (neg (acos a)) a))) (/ 1 (cbrt (/ (neg (acos a)) a))))
161.0ms
(cbrt (/ (neg (acos a)) a))
164.0ms
(cbrt (/ (neg (acos a)) a))
156.0ms
(cbrt (/ (neg (acos a)) a))

simplify732.0ms

Algorithm
egg-herbie
Counts
4760 → 4760
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
0553388595

prune19.0s

Filtered
4760 candidates to 4021 candidates (84.5%)
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New475914760
Fresh257
Picked011
Done033
Total4761104771

Merged error: 0b

Counts
4771 → 10

regimes72.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b 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
206.0ms8000×body80valid
155.0ms8051×body80nan

Profiling

Loading profile data...