Details

Time bar (total: 7.4s)

sample29.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
6.0ms238×body80nan

simplify2.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
30×times-frac
24×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×distribute-lft-neg-in distribute-rgt-neg-in
10×associate-/r*
4×neg-mul-1
3×add-exp-log add-cbrt-cube associate-/l*
1×pow1 cbrt-undiv frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 55
Calls
1 calls:
13.0ms
(/ a (- (acos a)))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(/ a (- (acos a)))

simplify100.0ms

Counts
58 → 58

prune169.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
252×times-frac
140×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
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 frac-2neg 1-exp clear-num add-log-exp
1×neg-sub0 pow-flip div-sub distribute-frac-neg associate-/r/ inv-pow
Counts
2 → 217
Calls
2 calls:
14.0ms
(/ (- (acos a)) a)
15.0ms
(/ 1 (/ (- (acos a)) a))

series77.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ (- (acos a)) a)
33.0ms
(/ 1 (/ (- (acos a)) a))

simplify80.0ms

Counts
223 → 223

prune630.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
1207×times-frac
550×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
138×distribute-lft-neg-in distribute-rgt-neg-in
51×div-inv
46×add-exp-log neg-mul-1
37×associate-/l*
34×div-exp
23×associate-/r*
16×add-cbrt-cube
9×cbrt-undiv rec-exp 1-exp
3×pow1
2×frac-2neg clear-num add-log-exp
1×pow-flip associate-/r/ associate-/l/ inv-pow
Counts
2 → 580
Calls
2 calls:
7.0ms
(/ 1 (- (acos a)))
52.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

series51.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(/ 1 (- (acos a)))
39.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

simplify163.0ms

Counts
586 → 586

prune1.9s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- (acos a)))
0.4b
(/ (cbrt (pow (/ 1 (- (acos a))) 3)) (/ 1 a))
1.0b
(cbrt (pow (/ 1 (- (acos a))) 3))
1.0b
(pow (/ 1 (- (acos a))) 3)

rewrite377.0ms

Algorithm
rewrite-expression-head
Rules
2693×times-frac
1243×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1110×cbrt-prod
544×unpow-prod-down cube-prod
300×distribute-lft-neg-in distribute-rgt-neg-in
112×div-inv
100×neg-mul-1
80×associate-/l*
23×associate-/r*
22×add-exp-log
16×cube-mult unpow3 sqr-pow
12×add-cbrt-cube
10×div-exp
7×pow1
5×cbrt-undiv
4×pow-exp add-log-exp
3×cube-div rec-exp pow-unpow pow-pow 1-exp
2×cbrt-div pow-flip frac-2neg clear-num inv-pow rem-cube-cbrt
1×pow-to-exp pow1/3 associate-/r/ rem-cbrt-cube associate-/l/
Counts
4 → 1344
Calls
4 calls:
16.0ms
(/ 1 (- (acos a)))
99.0ms
(/ (cbrt (pow (/ 1 (- (acos a))) 3)) (/ 1 a))
22.0ms
(cbrt (pow (/ 1 (- (acos a))) 3))
24.0ms
(pow (/ 1 (- (acos a))) 3)

series214.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(/ 1 (- (acos a)))
93.0ms
(/ (cbrt (pow (/ 1 (- (acos a))) 3)) (/ 1 a))
42.0ms
(cbrt (pow (/ 1 (- (acos a))) 3))
65.0ms
(pow (/ 1 (- (acos a))) 3)

simplify286.0ms

Counts
1356 → 1356

prune2.1s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes65.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

end0.0ms

sample940.0ms

Algorithm
intervals
Results
326.0ms8000×body80valid
263.0ms8071×body80nan