Details

Time bar (total: 23.9s)

sample41.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
10.0ms321×body80nan

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done4
04

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

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:
18.0ms
(/ a (- (acos a)))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(/ a (- (acos a)))

simplify3.0s

Counts
60 → 60
Iterations
IterNodes
done5001
31239
2430
1173
096

prune445.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite88.0ms

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:
19.0ms
(/ (- (acos a)) a)
44.0ms
(/ 1 (/ (- (acos a)) a))

series163.0ms

Counts
2 → 6
Calls
2 calls:
98.0ms
(/ (- (acos a)) a)
65.0ms
(/ 1 (/ (- (acos a)) a))

simplify5.1s

Counts
227 → 227
Iterations
IterNodes
done5003
33618
21492
1776
0292

prune1.1s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite207.0ms

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:
30.0ms
(/ 1 (- (acos a)))
72.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

series124.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(/ 1 (- (acos a)))
107.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

simplify5.2s

Counts
590 → 590
Iterations
IterNodes
done5000
12690
0811

prune1.9s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (* (- (acos a)) (/ 1 a)))
0.4b
(* (- (acos a)) (/ 1 a))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
21×add-sqr-sqrt
18×div-exp
16×prod-exp add-cbrt-cube
15×*-un-lft-identity
14×add-cube-cbrt times-frac
13×associate-*r*
10×associate-*l*
9×rec-exp 1-exp
7×pow1
5×cbrt-undiv
4×cbrt-unprod
3×distribute-lft-neg-in distribute-rgt-neg-in associate-/l* unswap-sqr
2×expm1-log1p-u pow-flip associate-*r/ pow-prod-down associate-/r/ un-div-inv log1p-expm1-u div-inv add-log-exp
1×distribute-lft-neg-out neg-mul-1 frac-2neg clear-num associate-/r* *-commutative inv-pow
Counts
2 → 88
Calls
2 calls:
48.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))
47.0ms
(* (- (acos a)) (/ 1 a))

series159.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))
90.0ms
(* (- (acos a)) (/ 1 a))

simplify4.1s

Counts
94 → 94
Iterations
IterNodes
done5003
32470
2890
1356
0129

prune535.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes202.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done4
04

end0.0ms

sample1.3s

Algorithm
intervals
Results
514.0ms8000×body80valid
381.0ms7921×body80nan