Details

Time bar (total: 21.9s)

sample37.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
11.0ms295×body80nan

simplify2.0ms

Counts
1 → 1
Iterations
IterNodes
14
04

prune8.0ms

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)))

rewrite12.0ms

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:
10.0ms
(/ a (- (acos a)))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(/ a (- (acos a)))

simplify947.0ms

Counts
61 → 61
Iterations
IterNodes
42132
3769
2345
1167
097

prune460.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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:
11.0ms
(/ (- (acos a)) a)
14.0ms
(/ 1 (/ (- (acos a)) a))

series69.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ (- (acos a)) a)
32.0ms
(/ 1 (/ (- (acos a)) a))

simplify7.7s

Counts
229 → 229
Iterations
IterNodes
33796
21543
1763
0294

prune1.7s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite52.0ms

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-*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-prod-down associate-*r/ associate-/r/ un-div-inv insert-posit16 log1p-expm1-u div-inv pow-flip add-log-exp
1×distribute-lft-neg-out clear-num associate-/r* neg-mul-1 frac-2neg *-commutative inv-pow
Counts
2 → 90
Calls
2 calls:
20.0ms
(* (- (acos a)) (/ 1 a))
31.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))

series73.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(* (- (acos a)) (/ 1 a))
27.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))

simplify4.6s

Counts
96 → 96
Iterations
IterNodes
32544
2962
1354
0131

prune677.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (- (acos a)) (/ 1 a))) (cbrt (* (- (acos a)) (/ 1 a))))
0.6b
(cbrt (* (- (acos a)) (/ 1 a)))
0.6b
(cbrt (* (- (acos a)) (/ 1 a)))
0.6b
(cbrt (* (- (acos a)) (/ 1 a)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
11×pow1 associate-*r/
10×add-sqr-sqrt
9×pow1/3 un-div-inv
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 84
Calls
4 calls:
35.0ms
(* (cbrt (* (- (acos a)) (/ 1 a))) (cbrt (* (- (acos a)) (/ 1 a))))
10.0ms
(cbrt (* (- (acos a)) (/ 1 a)))
10.0ms
(cbrt (* (- (acos a)) (/ 1 a)))
10.0ms
(cbrt (* (- (acos a)) (/ 1 a)))

series911.0ms

Counts
4 → 12
Calls
4 calls:
283.0ms
(* (cbrt (* (- (acos a)) (/ 1 a))) (cbrt (* (- (acos a)) (/ 1 a))))
192.0ms
(cbrt (* (- (acos a)) (/ 1 a)))
204.0ms
(cbrt (* (- (acos a)) (/ 1 a)))
232.0ms
(cbrt (* (- (acos a)) (/ 1 a)))

simplify2.1s

Counts
96 → 96
Iterations
IterNodes
43041
31223
2513
1211
094

prune817.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

regimes158.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
14
04

end0.0ms

sample1.3s

Algorithm
intervals
Results
607.0ms8000×body80valid
417.0ms7931×body80nan