Details

Time bar (total: 10.7s)

sample21.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
4.0ms250×body80nan

simplify1.0ms

Counts
1 → 1
Iterations
IterNodes
done4
04

prune4.0ms

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)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
30×times-frac
24×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×distribute-lft-neg-in distribute-rgt-neg-in
10×associate-/r*
4×neg-mul-1
3×add-cbrt-cube add-exp-log associate-/l*
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-exp log1p-expm1-u div-inv add-log-exp
Counts
1 → 57
Calls
1 calls:
12.0ms
(/ a (- (acos a)))

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(/ a (- (acos a)))

simplify1.4s

Counts
60 → 60
Iterations
IterNodes
done5000
32093
2466
1173
096

prune254.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
171×times-frac
101×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
52×distribute-lft-neg-in distribute-rgt-neg-in
33×associate-/r*
10×div-inv
8×add-exp-log
6×add-cbrt-cube associate-/l*
4×neg-mul-1
3×pow1 div-exp
2×expm1-log1p-u cbrt-undiv clear-num frac-2neg log1p-expm1-u add-log-exp
1×acos-asin rec-exp 1-exp div-sub associate-/r/ pow-flip distribute-neg-frac inv-pow
Counts
2 → 172
Calls
2 calls:
22.0ms
(/ 1 (- (/ (acos a) a)))
10.0ms
(/ (acos a) a)

series92.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ 1 (- (/ (acos a) a)))
55.0ms
(/ (acos a) a)

simplify1.1s

Counts
178 → 178
Iterations
IterNodes
done5000
22240
1547
0265

prune538.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
930×times-frac
437×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
182×distribute-lft-neg-in distribute-rgt-neg-in
61×div-inv
33×associate-/r*
16×associate-/l*
15×add-exp-log
14×neg-mul-1
9×add-cbrt-cube
8×div-exp
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp clear-num frac-2neg 1-exp log1p-expm1-u add-log-exp
1×associate-/r/ pow-flip distribute-neg-frac inv-pow associate-/l/
Counts
2 → 486
Calls
2 calls:
6.0ms
(/ 1 (acos a))
28.0ms
(/ (/ 1 (acos a)) (- (/ 1 a)))

series49.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ 1 (acos a))
43.0ms
(/ (/ 1 (acos a)) (- (/ 1 a)))

simplify1.5s

Counts
492 → 492
Iterations
IterNodes
done5001
12136
0713

prune715.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(log1p (/ 1 (acos a)))
0.0b
(/ 1 (acos a))
0.4b
(/ (expm1 (log1p (/ 1 (acos a)))) (- (/ 1 a)))
1.0b
(expm1 (log1p (/ 1 (acos a))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
171×times-frac
103×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
52×distribute-lft-neg-in distribute-rgt-neg-in
33×associate-/r*
10×add-exp-log div-inv
8×add-cbrt-cube
6×associate-/l*
5×expm1-log1p-u pow1
4×neg-mul-1 log1p-expm1-u add-log-exp
3×div-exp
2×cbrt-undiv clear-num frac-2neg expm1-udef
1×rec-exp log1p-udef expm1-log1p 1-exp div-sub log1p-expm1 associate-/r/ pow-flip distribute-neg-frac inv-pow
Counts
4 → 194
Calls
4 calls:
1.0ms
(log1p (/ 1 (acos a)))
9.0ms
(/ 1 (acos a))
29.0ms
(/ (expm1 (log1p (/ 1 (acos a)))) (- (/ 1 a)))
0.0ms
(expm1 (log1p (/ 1 (acos a))))

series581.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(log1p (/ 1 (acos a)))
6.0ms
(/ 1 (acos a))
240.0ms
(/ (expm1 (log1p (/ 1 (acos a)))) (- (/ 1 a)))
199.0ms
(expm1 (log1p (/ 1 (acos a))))

simplify2.5s

Counts
206 → 206
Iterations
IterNodes
done5001
24086
1598
0301

prune622.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes117.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done4
04

end0.0ms

sample925.0ms

Algorithm
intervals
Results
403.0ms8000×body80valid
231.0ms8142×body80nan