Details

Time bar (total: 26.9s)

sample28.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
8.0ms250×body80nan

simplify1.0ms

Counts
1 → 1
Iterations
IterNodes
14
04

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize7.0ms

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:
5.0ms
(/ a (- (acos a)))

series29.0ms

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

simplify1.2s

Counts
61 → 61
Iterations
IterNodes
42132
3769
2345
1167
097

prune453.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

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:
12.0ms
(/ (- (acos a)) a)
20.0ms
(/ 1 (/ (- (acos a)) a))

series109.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(/ (- (acos a)) a)
43.0ms
(/ 1 (/ (- (acos a)) a))

simplify9.0s

Counts
229 → 229
Iterations
IterNodes
33796
21543
1763
0294

prune1.9s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
430×times-frac
206×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
30×div-inv
26×add-exp-log
17×div-exp
16×associate-/r* add-cbrt-cube associate-/l*
9×cbrt-undiv
2×expm1-log1p-u pow1 rec-exp clear-num frac-2neg 1-exp insert-posit16 log1p-expm1-u add-log-exp
1×associate-/r/ associate-/l/
Counts
2 → 252
Calls
2 calls:
8.0ms
(/ -1 (acos a))
15.0ms
(/ (/ -1 (acos a)) (/ 1 a))

series62.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ -1 (acos a))
53.0ms
(/ (/ -1 (acos a)) (/ 1 a))

simplify5.9s

Counts
258 → 258
Iterations
IterNodes
22762
11257
0420

prune1.9s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
147×times-frac
103×add-sqr-sqrt
88×*-un-lft-identity add-cube-cbrt
66×add-exp-log
60×add-cbrt-cube
30×pow1
26×associate-*r*
23×div-exp
22×prod-exp cbrt-unprod
20×cbrt-undiv
16×frac-times associate-*l/
15×cbrt-prod
14×cbrt-div associate-*l*
13×associate-/r* swap-sqr
11×div-inv
10×associate-*r/
7×pow-plus pow-prod-up associate-/l/
6×unswap-sqr
4×expm1-log1p-u pow-prod-down insert-posit16 log1p-expm1-u associate-/l* add-log-exp
3×pow2 pow-sqr
2×pow3 *-commutative
1×rec-exp clear-num frac-2neg pow1/3 1-exp associate-/r/ rem-cbrt-cube
Counts
4 → 251
Calls
4 calls:
16.0ms
(/ (cbrt (* (* (/ -1 (acos a)) (/ -1 (acos a))) (/ -1 (acos a)))) (/ 1 a))
70.0ms
(* (* (/ -1 (acos a)) (/ -1 (acos a))) (/ -1 (acos a)))
24.0ms
(cbrt (* (* (/ -1 (acos a)) (/ -1 (acos a))) (/ -1 (acos a))))
14.0ms
(* (/ -1 (acos a)) (/ -1 (acos a)))

series278.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(/ (cbrt (* (* (/ -1 (acos a)) (/ -1 (acos a))) (/ -1 (acos a)))) (/ 1 a))
50.0ms
(* (* (/ -1 (acos a)) (/ -1 (acos a))) (/ -1 (acos a)))
82.0ms
(cbrt (* (* (/ -1 (acos a)) (/ -1 (acos a))) (/ -1 (acos a))))
41.0ms
(* (/ -1 (acos a)) (/ -1 (acos a)))

simplify2.5s

Counts
263 → 263
Iterations
IterNodes
22882
1970
0344

prune2.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes67.0ms

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

sample1.2s

Algorithm
intervals
Results
593.0ms8000×body80valid
385.0ms7863×body80nan