Details

Time bar (total: 23.5s)

sample37.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
8.0ms284×body80nan

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
done45

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

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 expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 57
Calls
1 calls:
8.0ms
(/ a (- (acos a)))

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(/ a (- (acos a)))

simplify4.6s

Counts
60 → 60
Iterations

Useful iterations: 5 (1.7s)

IterNodesCost
096613
1166581
2333563
3587563
41105563
52150558
done5001558

prune168.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
171×times-frac
101×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
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×cbrt-undiv expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×acos-asin rec-exp pow-flip 1-exp div-sub associate-/r/ distribute-neg-frac inv-pow
Counts
2 → 172
Calls
2 calls:
7.0ms
(/ (acos a) a)
24.0ms
(/ 1 (- (/ (acos a) a)))

series65.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ (acos a) a)
30.0ms
(/ 1 (- (/ (acos a) a)))

simplify6.2s

Counts
178 → 178
Iterations

Useful iterations: 3 (674.0ms)

IterNodesCost
02652409
14722004
27741861
315101711
427551711
done50001711

prune407.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
40×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
33×associate-/r*
26×distribute-lft-neg-in distribute-rgt-neg-in
9×add-exp-log
7×add-cbrt-cube
6×div-inv
4×associate-/l*
3×cbrt-undiv div-exp
2×pow1 expm1-log1p-u neg-mul-1 frac-2neg clear-num log1p-expm1-u add-log-exp
1×acos-asin div-sub prod-exp associate-/r/ cbrt-unprod distribute-neg-frac
Counts
2 → 108
Calls
2 calls:
13.0ms
(/ (acos a) a)
46.0ms
(/ (* (cbrt 1) (cbrt 1)) (- (/ (acos a) a)))

series125.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ (acos a) a)
66.0ms
(/ (* (cbrt 1) (cbrt 1)) (- (/ (acos a) a)))

simplify6.8s

Counts
114 → 114
Iterations

Useful iterations: 3 (527.0ms)

IterNodesCost
01931482
13881126
26601020
31293945
42417945
54209945
done5001945

prune355.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (acos a))
0.5b
(/ (/ 1 (acos a)) (- (/ 1 a)))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
930×times-frac
437×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
182×distribute-lft-neg-in distribute-rgt-neg-in
61×div-inv
33×associate-/r*
16×associate-/l*
15×add-exp-log
14×neg-mul-1
9×add-cbrt-cube
8×div-exp
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/r/ associate-/l/ distribute-neg-frac inv-pow
Counts
2 → 486
Calls
2 calls:
7.0ms
(/ 1 (acos a))
33.0ms
(/ (/ 1 (acos a)) (- (/ 1 a)))

series66.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(/ 1 (acos a))
53.0ms
(/ (/ 1 (acos a)) (- (/ 1 a)))

simplify2.2s

Counts
492 → 492
Iterations

Useful iterations: done (2.1s)

IterNodesCost
071310319
117377603
226406678
done50006309

prune492.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes101.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
done45

end0.0ms

sample1.6s

Algorithm
intervals
Results
834.0ms8000×body80valid
215.0ms8241×body80nan