Details

Time bar (total: 2.6s)

sample19.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
4.0ms283×body80nan

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
043

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

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 expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 57
Calls
1 calls:
7.0ms
(/ a (- (acos a)))

series27.0ms

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

simplify94.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (34.0ms)

IterNodesCost
0166384
1493372
21442367
33704366
45002366

prune122.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 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×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:
15.0ms
(/ 1 (/ (- (acos a)) a))
8.0ms
(/ (- (acos a)) a)

series65.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ 1 (/ (- (acos a)) a))
38.0ms
(/ (- (acos a)) a)

simplify71.0ms

Algorithm
egg-herbie
Counts
227 → 227
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06631934
130641717
250011525

prune295.0ms

Pruning

10 alts after pruning (9 fresh and 1 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))

rewrite83.0ms

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:
11.0ms
(/ 1 (- (acos a)))
29.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

series41.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ 1 (- (acos a)))
34.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

simplify106.0ms

Algorithm
egg-herbie
Counts
590 → 590
Iterations

Useful iterations: 1 (50.0ms)

IterNodesCost
025217412
150026293

prune669.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
105×times-frac
76×add-exp-log
57×add-sqr-sqrt
51×*-un-lft-identity
50×add-cube-cbrt
40×div-exp
34×associate-/l*
28×add-cbrt-cube
20×prod-exp
18×distribute-lft-neg-in distribute-rgt-neg-in
13×associate-*l*
12×cbrt-undiv
10×rec-exp 1-exp
6×neg-mul-1 cbrt-unprod
4×pow1 div-inv
3×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 → 146
Calls
2 calls:
24.0ms
(/ (/ 1 (- 1)) (* (/ 1 a) (acos a)))
16.0ms
(* (/ 1 a) (acos a))

series57.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (/ 1 (- 1)) (* (/ 1 a) (acos a)))
32.0ms
(* (/ 1 a) (acos a))

simplify97.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
07001044
14925756
25001735

prune222.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes49.0ms

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

sample496.0ms

Algorithm
intervals
Results
158.0ms8000×body80valid
109.0ms8109×body80nan