Details

Time bar (total: 17.6s)

sample22.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
4.0ms229×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: 0.3b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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:
7.0ms
(/ a (- (acos a)))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(/ a (- (acos a)))

simplify3.8s

Counts
60 → 60
Iterations

Useful iterations: 5 (1.5s)

IterNodesCost
096613
1166581
2333563
3587563
41105563
52150558
done5001558

prune112.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

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:
10.0ms
(/ (acos a) a)
19.0ms
(/ 1 (- (/ (acos a) a)))

series85.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ (acos a) a)
48.0ms
(/ 1 (- (/ (acos a) a)))

simplify5.1s

Counts
178 → 178
Iterations

Useful iterations: 3 (585.0ms)

IterNodesCost
02652409
14722004
27741861
315101711
427551711
done50001711

prune265.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

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×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/r/ associate-/l/ inv-pow
Counts
2 → 584
Calls
2 calls:
8.0ms
(/ 1 (- (acos a)))
50.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

series33.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ 1 (- (acos a)))
26.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

simplify2.5s

Counts
590 → 590
Iterations

Useful iterations: done (2.5s)

IterNodesCost
081112543
123508820
232627448
done50007226

prune355.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite351.0ms

Algorithm
rewrite-expression-head
Rules
3049×times-frac
1346×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1230×cbrt-prod
460×unpow-prod-down cube-prod
276×distribute-lft-neg-in distribute-rgt-neg-in
102×div-inv
92×neg-mul-1
85×associate-/l*
46×cube-mult unpow3 sqr-pow
13×add-exp-log associate-/r*
7×add-cbrt-cube
6×div-exp
4×pow1
3×cbrt-undiv expm1-log1p-u pow-unpow log1p-expm1-u add-log-exp
2×cbrt-div
1×pow-to-exp rec-exp pow-pow frac-2neg pow1/3 1-exp cube-neg pow-exp clear-num associate-/r/ associate-/l/ rem-cube-cbrt
Counts
3 → 1356
Calls
3 calls:
104.0ms
(/ (cbrt (/ 1 (pow (- (acos a)) 3))) (/ 1 a))
8.0ms
(pow (- (acos a)) 3)
17.0ms
(cbrt (/ 1 (pow (- (acos a)) 3)))

series229.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(/ (cbrt (/ 1 (pow (- (acos a)) 3))) (/ 1 a))
103.0ms
(pow (- (acos a)) 3)
42.0ms
(cbrt (/ 1 (pow (- (acos a)) 3)))

simplify2.4s

Counts
1365 → 1365
Iterations

Useful iterations: done (2.3s)

IterNodesCost
0134038072
1233024913
2345423969
done500123962

prune844.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes44.0ms

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

sample1.2s

Algorithm
intervals
Results
513.0ms7970×body80nan
300.0ms8000×body80valid