Details

Time bar (total: 3.6s)

sample20.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
3.0ms273×body80nan

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

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 expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 57
Calls
1 calls:
4.0ms
(/ a (- (acos a)))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(/ a (- (acos a)))

simplify93.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (34.0ms)

IterNodesCost
0166384
1493372
21442367
33704366
45002366

prune123.0ms

Filtered
60 candidates to 44 candidates (73.3%)
Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

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×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:
4.0ms
(/ (- (acos a)) a)
10.0ms
(/ 1 (/ (- (acos a)) a))

series60.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ (- (acos a)) a)
25.0ms
(/ 1 (/ (- (acos a)) a))

simplify74.0ms

Algorithm
egg-herbie
Counts
227 → 227
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06631934
130641717
250011525

prune307.0ms

Filtered
227 candidates to 110 candidates (48.5%)
Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- (acos a)))
0.5b
(/ (/ 1 (- (acos a))) (/ 1 a))

rewrite73.0ms

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:
7.0ms
(/ 1 (- (acos a)))
22.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

series39.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ 1 (- (acos a)))
33.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

simplify110.0ms

Algorithm
egg-herbie
Counts
590 → 590
Iterations

Useful iterations: 1 (48.0ms)

IterNodesCost
025217412
150026293

prune699.0ms

Filtered
590 candidates to 229 candidates (38.8%)
Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (/ 1 (- (acos a))))
0.0b
(/ 1 (- (acos a)))
0.0b
(log (exp (/ 1 (- (acos a)))))
0.5b
(/ (log (exp (/ 1 (- (acos a))))) (/ 1 a))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
1355×times-frac
635×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
544×exp-prod
525×log-pow
156×distribute-lft-neg-in distribute-rgt-neg-in
57×div-inv
52×neg-mul-1
41×associate-/l*
23×associate-/r*
20×pow1
17×add-exp-log
11×add-cbrt-cube
8×div-exp
5×add-log-exp
4×cbrt-undiv expm1-log1p-u log1p-expm1-u
3×log-prod
2×rec-exp frac-2neg 1-exp clear-num
1×pow-flip rem-log-exp associate-/r/ rem-exp-log inv-pow
Counts
4 → 717
Calls
4 calls:
10.0ms
(exp (/ 1 (- (acos a))))
4.0ms
(/ 1 (- (acos a)))
12.0ms
(log (exp (/ 1 (- (acos a)))))
53.0ms
(/ (log (exp (/ 1 (- (acos a))))) (/ 1 a))

series82.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(exp (/ 1 (- (acos a))))
6.0ms
(/ 1 (- (acos a)))
6.0ms
(log (exp (/ 1 (- (acos a)))))
27.0ms
(/ (log (exp (/ 1 (- (acos a))))) (/ 1 a))

simplify127.0ms

Algorithm
egg-herbie
Counts
729 → 729
Iterations

Useful iterations: 1 (46.0ms)

IterNodesCost
023438759
150017670

prune1.1s

Filtered
729 candidates to 344 candidates (47.2%)
Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes69.0ms

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

sample424.0ms

Algorithm
intervals
Results
161.0ms8000×body80valid
100.0ms7953×body80nan