Details

Time bar (total: 1.2m)

sample31.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
10.0ms284×body80nan

simplify6.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
6.0ms
(/ a (- (acos a)))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

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)))

series44.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
44.0ms
(/ a (- (acos a)))

simplify1.2s

Counts
77 → 61
Calls
77 calls:
Slowest
202.0ms
(/ (* (* a a) a) (* (* (- (acos a)) (- (acos a))) (- (acos a))))
89.0ms
(/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a)))))
43.0ms
(/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a)))))
41.0ms
(/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a))))
39.0ms
(/ (* (cbrt a) (cbrt a)) (- 1))

prune447.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

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
18.0ms
(/ 1 (/ (- (acos a)) a))
14.0ms
(/ (- (acos a)) a)

series95.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
56.0ms
(/ (- (acos a)) a)
39.0ms
(/ 1 (/ (- (acos a)) a))

simplify15.2s

Counts
326 → 229
Calls
326 calls:
Slowest
488.0ms
(/ (* (* 1 1) 1) (/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* a a) a)))
469.0ms
(/ (sqrt 1) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a))))
391.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a))))
385.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a)))
379.0ms
(/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* a a) a))

prune1.7s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
171×times-frac
101×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
52×distribute-lft-neg-in distribute-rgt-neg-in
33×associate-/r*
10×div-inv
8×add-exp-log
6×add-cbrt-cube associate-/l*
4×neg-mul-1
3×pow1 div-exp
2×expm1-log1p-u cbrt-undiv clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
1×acos-asin rec-exp 1-exp div-sub associate-/r/ pow-flip distribute-neg-frac inv-pow
Counts
2 → 174
Calls
2 calls:
Slowest
9.0ms
(/ (acos a) a)
7.0ms
(/ 1 (- (/ (acos a) a)))

series81.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
44.0ms
(/ 1 (- (/ (acos a) a)))
37.0ms
(/ (acos a) a)

simplify9.4s

Counts
247 → 180
Calls
247 calls:
Slowest
501.0ms
(/ (* (* (acos a) (acos a)) (acos a)) (* (* a a) a))
399.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))))
282.0ms
(/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))))
270.0ms
(/ (* (cbrt 1) (cbrt 1)) (- (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))))
231.0ms
(/ 1 (- (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))))

prune1.4s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
430×times-frac
206×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
30×div-inv
28×add-exp-log
18×div-exp
16×associate-/r* add-cbrt-cube associate-/l*
9×cbrt-undiv
3×pow1 rec-exp 1-exp
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 → 256
Calls
2 calls:
Slowest
16.0ms
(/ (/ 1 (acos a)) (/ -1 a))
4.0ms
(/ 1 (acos a))

series37.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
32.0ms
(/ (/ 1 (acos a)) (/ -1 a))
5.0ms
(/ 1 (acos a))

simplify37.0s

Counts
407 → 262
Calls
407 calls:
Slowest
957.0ms
(/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt a) (cbrt a))))
625.0ms
(/ (/ (* (* 1 1) 1) (* (* (acos a) (acos a)) (acos a))) (* (* (/ -1 a) (/ -1 a)) (/ -1 a)))
541.0ms
(/ (* (cbrt (/ 1 (acos a))) (cbrt (/ 1 (acos a)))) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt a) (cbrt a))))
527.0ms
(/ (/ (sqrt 1) 1) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt a) (cbrt a))))
511.0ms
(/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (* (cbrt a) (cbrt a))))

prune2.0s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes105.0ms

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
581.0ms8000×body80valid
481.0ms8133×body80nan