Details

Time bar (total: 2.3s)

sample19.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
4.0ms263×body80nan

simplify2.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
043

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ a (- (acos a)))

rewrite9.0ms

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:
7.0ms
(/ a (- (acos a)))

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(/ a (- (acos a)))

simplify91.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (32.0ms)

IterNodesCost
0164376
1491364
21440359
33702358
45001358

prune104.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- (acos a)) a))
0.3b
(/ (- (acos a)) a)

rewrite34.0ms

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:
15.0ms
(/ 1 (/ (- (acos a)) a))
8.0ms
(/ (- (acos a)) a)

series54.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(/ 1 (/ (- (acos a)) a))
33.0ms
(/ (- (acos a)) a)

simplify66.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
06591916
130601699
250021507

prune246.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- (acos a)))
0.3b
(* (/ 1 (- (acos a))) a)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
62×times-frac
53×add-sqr-sqrt
47×*-un-lft-identity
46×add-cube-cbrt
34×associate-*l*
21×distribute-lft-neg-in distribute-rgt-neg-in
15×add-exp-log
10×associate-/r*
9×add-cbrt-cube
7×neg-mul-1
5×pow1
4×div-exp prod-exp
3×associate-*r* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv add-log-exp
1×pow-flip frac-2neg pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
2 → 115
Calls
2 calls:
7.0ms
(/ 1 (- (acos a)))
25.0ms
(* (/ 1 (- (acos a))) a)

series27.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ 1 (- (acos a)))
21.0ms
(* (/ 1 (- (acos a))) a)

simplify59.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 3 (49.0ms)

IterNodesCost
0298686
11217605
23183520
35001517

prune149.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite88.0ms

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×frac-2neg clear-num add-log-exp
1×pow-flip associate-/r/ associate-/l/ inv-pow
Counts
2 → 580
Calls
2 calls:
8.0ms
(/ 1 (- (acos a)))
33.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

series27.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ 1 (- (acos a)))
22.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

simplify108.0ms

Algorithm
egg-herbie
Counts
586 → 586
Iterations

Useful iterations: 1 (45.0ms)

IterNodesCost
025177392
150026273

prune567.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094
194

end0.0ms

sample514.0ms

Algorithm
intervals
Results
159.0ms8000×body80valid
111.0ms8416×body80nan