Details

Time bar (total: 12.6s)

sample37.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
9.0ms241×body80nan

simplify7.0ms

Counts
1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

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 *-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 insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 58
Calls
1 calls:
Slowest
5.0ms
(/ a (- (acos a)))

series32.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
32.0ms
(/ a (- (acos a)))

simplify596.0ms

Counts
92 → 61

prune387.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
252×times-frac
140×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
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 clear-num frac-2neg 1-exp insert-posit16 log1p-expm1-u add-log-exp
1×neg-sub0 div-sub distribute-frac-neg associate-/r/ pow-flip inv-pow
Counts
2 → 223
Calls
2 calls:
Slowest
15.0ms
(/ 1 (/ (- (acos a)) a))
15.0ms
(/ (- (acos a)) a)

series75.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
48.0ms
(/ (- (acos a)) a)
27.0ms
(/ 1 (/ (- (acos a)) a))

simplify455.0ms

Counts
363 → 229

prune1.5s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
1207×times-frac
550×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
138×distribute-lft-neg-in distribute-rgt-neg-in
51×div-inv
46×neg-mul-1 add-exp-log
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 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
1×associate-/r/ pow-flip inv-pow associate-/l/
Counts
2 → 586
Calls
2 calls:
Slowest
12.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))
8.0ms
(/ 1 (- (acos a)))

series59.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
52.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))
7.0ms
(/ 1 (- (acos a)))

simplify2.7s

Counts
1065 → 592

prune4.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
21×add-sqr-sqrt
18×div-exp
16×add-cbrt-cube prod-exp
15×*-un-lft-identity
14×times-frac add-cube-cbrt
13×associate-*l*
10×associate-*r*
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-prod-down associate-*l/ insert-posit16 log1p-expm1-u div-inv pow-flip add-log-exp
1×clear-num associate-/r* neg-mul-1 frac-2neg associate-/r/ *-commutative distribute-rgt-neg-out inv-pow
Counts
2 → 88
Calls
2 calls:
Slowest
25.0ms
(* (/ 1 a) (- (acos a)))
21.0ms
(/ 1 (* (/ 1 a) (- (acos a))))

series101.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
57.0ms
(* (/ 1 a) (- (acos a)))
43.0ms
(/ 1 (* (/ 1 a) (- (acos a))))

simplify331.0ms

Counts
99 → 94

prune538.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes100.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch1.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
646.0ms8000×body80valid
435.0ms8062×body80nan