Details

Time bar (total: 2.3s)

sample18.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
4.0ms275×body80nan

simplify2.0ms

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize4.0ms

Local error

Found 1 expressions with local error:

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

series24.0ms

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

simplify88.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
0164376
1491364
21440359
33702358
45001358

prune110.0ms

Filtered
58 candidates to 42 candidates (72.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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:
5.0ms
(/ (- (acos a)) a)
10.0ms
(/ 1 (/ (- (acos a)) a))

series56.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (- (acos a)) a)
23.0ms
(/ 1 (/ (- (acos a)) a))

simplify70.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
06591916
130601699
250011507

prune265.0ms

Filtered
223 candidates to 107 candidates (48.0%)
Pruning

11 alts after pruning (9 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))

rewrite71.0ms

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:
5.0ms
(/ 1 (- (acos a)))
19.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

series29.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ 1 (- (acos a)))
23.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

simplify111.0ms

Algorithm
egg-herbie
Counts
586 → 586
Iterations

Useful iterations: 1 (44.0ms)

IterNodesCost
025177392
150026273

prune636.0ms

Filtered
586 candidates to 225 candidates (38.4%)
Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
76×add-exp-log
42×times-frac
40×div-exp
31×add-sqr-sqrt
28×add-cbrt-cube
25×*-un-lft-identity
24×add-cube-cbrt
20×prod-exp
13×associate-*l* associate-/l*
12×cbrt-undiv
10×rec-exp 1-exp
6×cbrt-unprod
4×pow1 div-inv
3×associate-*r* unswap-sqr
2×associate-*l/ add-log-exp
1×frac-2neg pow-prod-down clear-num associate-/r* associate-/r/ *-commutative associate-/l/
Counts
2 → 100
Calls
2 calls:
12.0ms
(/ (/ 1 -1) (* (/ 1 a) (acos a)))
7.0ms
(* (/ 1 a) (acos a))

series51.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(/ (/ 1 -1) (* (/ 1 a) (acos a)))
27.0ms
(* (/ 1 a) (acos a))

simplify55.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0494583
12483464
25002388

prune128.0ms

Filtered
106 candidates to 52 candidates (49.1%)
Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes58.0ms

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

sample461.0ms

Algorithm
intervals
Results
165.0ms8000×body80valid
120.0ms8017×body80nan