Details

Time bar (total: 20.1s)

sample23.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
6.0ms310×body80nan

simplify1.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
done45

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

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

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(/ a (- (acos a)))

simplify4.6s

Counts
60 → 60
Iterations

Useful iterations: 5 (2.0s)

IterNodesCost
096613
1166581
2333563
3587563
41105563
52150558
done5001558

prune234.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite59.0ms

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:
12.0ms
(/ (acos a) a)
32.0ms
(/ 1 (- (/ (acos a) a)))

series88.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(/ (acos a) a)
29.0ms
(/ 1 (- (/ (acos a) a)))

simplify6.1s

Counts
178 → 178
Iterations

Useful iterations: 3 (676.0ms)

IterNodesCost
02652409
14722004
27741861
315101711
427551711
done50001711

prune265.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
29×times-frac
28×add-sqr-sqrt
22×*-un-lft-identity
21×add-cube-cbrt
15×add-exp-log
13×associate-*r*
9×add-cbrt-cube
6×associate-/r*
5×pow1
4×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in div-exp prod-exp
3×associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv expm1-log1p-u rec-exp 1-exp associate-*r/ associate-/r/ un-div-inv cbrt-unprod log1p-expm1-u div-inv distribute-neg-frac add-log-exp
1×pow-flip frac-2neg pow-prod-down clear-num *-commutative inv-pow
Counts
2 → 85
Calls
2 calls:
9.0ms
(/ 1 (- (* (acos a) (/ 1 a))))
23.0ms
(* (acos a) (/ 1 a))

series74.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ 1 (- (* (acos a) (/ 1 a))))
39.0ms
(* (acos a) (/ 1 a))

simplify2.7s

Counts
91 → 91
Iterations

Useful iterations: 3 (792.0ms)

IterNodesCost
0138989
1288700
2660619
32163581
done5000581

prune150.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

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:
11.0ms
(/ (acos a) a)
22.0ms
(/ (* (cbrt 1) (cbrt 1)) (- (/ (acos a) a)))

series65.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ (acos a) a)
33.0ms
(/ (* (cbrt 1) (cbrt 1)) (- (/ (acos a) a)))

simplify4.3s

Counts
114 → 114
Iterations

Useful iterations: 3 (371.0ms)

IterNodesCost
01931482
13881126
26601020
31293945
42417945
54209945
done5001945

prune241.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes40.0ms

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

sample978.0ms

Algorithm
intervals
Results
574.0ms8000×body80valid
199.0ms8208×body80nan