Details

Time bar (total: 1.1m)

sample30.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
8.0ms247×body80nan

simplify1.0ms

Counts
1 → 1
Iterations
IterNodes
14
04

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize8.0ms

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×pow1 cbrt-undiv clear-num frac-2neg div-exp insert-posit16 div-inv add-log-exp
Counts
1 → 56
Calls
1 calls:
5.0ms
(/ a (- (acos a)))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(/ a (- (acos a)))

simplify1.1s

Counts
59 → 59
Iterations
IterNodes
42083
3760
2340
1165
095

prune407.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

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×rec-exp clear-num frac-2neg 1-exp insert-posit16 add-log-exp
1×neg-sub0 div-sub distribute-frac-neg associate-/r/ pow-flip inv-pow
Counts
2 → 219
Calls
2 calls:
5.0ms
(/ (- (acos a)) a)
9.0ms
(/ 1 (/ (- (acos a)) a))

series94.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ (- (acos a)) a)
39.0ms
(/ 1 (/ (- (acos a)) a))

simplify6.7s

Counts
225 → 225
Iterations
IterNodes
33465
21621
1756
0290

prune1.3s

Pruning

11 alts after pruning (9 fresh and 2 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))

rewrite45.0ms

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×clear-num frac-2neg insert-posit16 add-log-exp
1×associate-/r/ pow-flip inv-pow associate-/l/
Counts
2 → 582
Calls
2 calls:
5.0ms
(/ 1 (- (acos a)))
16.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

series55.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ 1 (- (acos a)))
46.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

simplify5.7s

Counts
588 → 588
Iterations
IterNodes
12654
0809

prune4.4s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- (acos a)) (- (acos a)))
0.4b
(/ (cbrt (/ 1 (* (- (acos a)) (* (- (acos a)) (- (acos a)))))) (/ 1 a))
1.0b
(cbrt (/ 1 (* (- (acos a)) (* (- (acos a)) (- (acos a))))))
1.0b
(* (- (acos a)) (* (- (acos a)) (- (acos a))))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
274×times-frac
144×*-un-lft-identity
143×add-sqr-sqrt
140×add-cube-cbrt
105×cbrt-prod
27×div-inv
25×pow1
20×associate-*l* add-exp-log
17×distribute-rgt-neg-in
15×distribute-lft-neg-in
14×add-cbrt-cube
13×associate-/r*
12×swap-sqr
11×associate-*r*
10×associate-/l*
6×div-exp pow-prod-up
5×neg-mul-1
4×pow-prod-down prod-exp distribute-rgt-neg-out cbrt-unprod insert-posit16 add-log-exp
3×distribute-lft-neg-out cbrt-undiv
2×pow2 cbrt-div pow-plus pow-sqr *-commutative unswap-sqr
1×rec-exp clear-num frac-2neg pow1/3 1-exp cube-unmult sqr-neg associate-/r/ associate-/l/
Counts
4 → 276
Calls
4 calls:
9.0ms
(* (- (acos a)) (- (acos a)))
42.0ms
(/ (cbrt (/ 1 (* (- (acos a)) (* (- (acos a)) (- (acos a)))))) (/ 1 a))
45.0ms
(cbrt (/ 1 (* (- (acos a)) (* (- (acos a)) (- (acos a))))))
36.0ms
(* (- (acos a)) (* (- (acos a)) (- (acos a))))

series226.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (- (acos a)) (- (acos a)))
97.0ms
(/ (cbrt (/ 1 (* (- (acos a)) (* (- (acos a)) (- (acos a)))))) (/ 1 a))
50.0ms
(cbrt (/ 1 (* (- (acos a)) (* (- (acos a)) (- (acos a))))))
59.0ms
(* (- (acos a)) (* (- (acos a)) (- (acos a))))

simplify43.8s

Counts
288 → 288
Iterations
IterNodes
35148
21893
1960
0367

prune2.4s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes66.0ms

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
14
04

end0.0ms

sample1.3s

Algorithm
intervals
Results
611.0ms8000×body80valid
412.0ms7973×body80nan