Details

Time bar (total: 2.6s)

sample22.0ms

Algorithm
intervals
Results
7.0ms275×body80nan
5.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
043

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize5.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ a (- (acos a)))

rewrite7.0ms

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 expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 57
Calls
1 calls:
5.0ms
(/ a (- (acos a)))

series31.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(/ a (- (acos a)))

simplify108.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (42.0ms)

IterNodesCost
0166384
1493372
21442367
33704366
45002366

prune127.0ms

Filtered
60 candidates to 44 candidates (73.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (- (acos a)) a)
0.3b
(/ 1 (/ (- (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×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×neg-sub0 pow-flip div-sub distribute-frac-neg associate-/r/ inv-pow
Counts
2 → 221
Calls
2 calls:
5.0ms
(/ (- (acos a)) a)
11.0ms
(/ 1 (/ (- (acos a)) a))

series71.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ (- (acos a)) a)
34.0ms
(/ 1 (/ (- (acos a)) a))

simplify79.0ms

Algorithm
egg-herbie
Counts
227 → 227
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06631934
130641717
250011525

prune305.0ms

Filtered
227 candidates to 111 candidates (48.9%)
Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- (acos a)))
0.4b
(/ (/ 1 (- (acos a))) (/ 1 a))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
1207×times-frac
550×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
138×distribute-lft-neg-in distribute-rgt-neg-in
51×div-inv
46×add-exp-log neg-mul-1
37×associate-/l*
34×div-exp
23×associate-/r*
16×add-cbrt-cube
9×cbrt-undiv rec-exp 1-exp
3×pow1
2×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/r/ associate-/l/ inv-pow
Counts
2 → 584
Calls
2 calls:
6.0ms
(/ 1 (- (acos a)))
22.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

series42.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(/ 1 (- (acos a)))
29.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

simplify117.0ms

Algorithm
egg-herbie
Counts
590 → 590
Iterations

Useful iterations: 1 (56.0ms)

IterNodesCost
025217412
150026293

prune727.0ms

Filtered
590 candidates to 229 candidates (38.8%)
Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (/ (sqrt 1) -1) (* (/ 1 a) (acos a)))
0.3b
(* (/ 1 a) (acos a))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
69×times-frac
46×add-exp-log
43×add-sqr-sqrt
37×*-un-lft-identity
36×add-cube-cbrt
28×add-cbrt-cube
22×associate-/l*
21×div-exp
18×sqrt-prod
13×associate-*l*
12×cbrt-undiv prod-exp
6×cbrt-unprod
4×pow1 div-inv
3×rec-exp 1-exp associate-*r* unswap-sqr
2×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
1×frac-2neg pow-prod-down clear-num associate-/r* associate-/r/ *-commutative associate-/l/
Counts
2 → 112
Calls
2 calls:
12.0ms
(/ (/ (sqrt 1) -1) (* (/ 1 a) (acos a)))
8.0ms
(* (/ 1 a) (acos a))

series67.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ (/ (sqrt 1) -1) (* (/ 1 a) (acos a)))
33.0ms
(* (/ 1 a) (acos a))

simplify64.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0528839
12743611
25001437

prune183.0ms

Filtered
118 candidates to 63 candidates (53.4%)
Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes68.0ms

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

sample466.0ms

Algorithm
intervals
Results
168.0ms8000×body80valid
120.0ms8017×body80nan