Details

Time bar (total: 2.2s)

sample17.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
4.0ms247×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

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ 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)))

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(/ a (- (acos a)))

simplify92.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (32.0ms)

IterNodesCost
0164376
1491364
21440359
33702358
45001358

prune98.0ms

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:

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

rewrite27.0ms

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
(/ (- (acos a)) a)
12.0ms
(/ 1 (/ (- (acos a)) a))

series58.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ (- (acos a)) a)
22.0ms
(/ 1 (/ (- (acos a)) a))

simplify64.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
06591916
130601699
250011507

prune242.0ms

Filtered
223 candidates to 106 candidates (47.5%)
Pruning

10 alts after pruning (8 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:
4.0ms
(/ 1 (- (acos a)))
24.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

series34.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ 1 (- (acos a)))
29.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

simplify103.0ms

Algorithm
egg-herbie
Counts
586 → 586
Iterations

Useful iterations: 1 (42.0ms)

IterNodesCost
025177392
150026273

prune574.0ms

Filtered
586 candidates to 225 candidates (38.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.9b
(sqrt (acos a))
0.9b
(sqrt (acos a))
1.0b
(/ 1 (sqrt (acos a)))
1.0b
(/ 1 (- (sqrt (acos a))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
66×times-frac
60×add-sqr-sqrt
58×add-cube-cbrt *-un-lft-identity
42×sqrt-prod
24×distribute-lft-neg-in distribute-rgt-neg-in
22×associate-/r*
12×add-exp-log
9×pow1
8×add-cbrt-cube
6×associate-/l*
4×neg-mul-1 pow-flip div-exp add-log-exp
3×sqrt-pow1 pow1/2
2×cbrt-undiv rem-sqrt-square rec-exp frac-2neg 1-exp clear-num div-inv inv-pow
Counts
4 → 154
Calls
4 calls:
1.0ms
(sqrt (acos a))
1.0ms
(sqrt (acos a))
3.0ms
(/ 1 (sqrt (acos a)))
6.0ms
(/ 1 (- (sqrt (acos a))))

series66.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(sqrt (acos a))
9.0ms
(sqrt (acos a))
17.0ms
(/ 1 (sqrt (acos a)))
30.0ms
(/ 1 (- (sqrt (acos a))))

simplify56.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
02231066
1758969
21580836
32836836
45001836

prune185.0ms

Filtered
166 candidates to 68 candidates (41.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes54.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043

end0.0ms

sample433.0ms

Algorithm
intervals
Results
160.0ms8000×body80valid
104.0ms7907×body80nan