Details

Time bar (total: 20.9s)

sample33.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
7.0ms276×body80nan

simplify2.0ms

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

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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

series37.0ms

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

simplify4.2s

Counts
60 → 60
Iterations

Useful iterations: 5 (1.7s)

IterNodesCost
096613
1166581
2333563
3587563
41105563
52150558
done5001558

prune121.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ -1 (acos a))
0.3b
(* a (/ -1 (acos a)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*r*
9×add-exp-log add-cbrt-cube
4×pow1
3×associate-*l* associate-/r* associate-/l*
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 63
Calls
2 calls:
5.0ms
(/ -1 (acos a))
18.0ms
(* a (/ -1 (acos a)))

series35.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ -1 (acos a))
27.0ms
(* a (/ -1 (acos a)))

simplify5.6s

Counts
69 → 69
Iterations

Useful iterations: 3 (542.0ms)

IterNodesCost
090582
1184532
2512482
31392480
43526480
done5000480

prune141.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (acos a) a)
0.4b
(/ 1 (- (/ (acos a) a)))

rewrite37.0ms

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:
6.0ms
(/ (acos a) a)
21.0ms
(/ 1 (- (/ (acos a) a)))

series59.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (acos a) a)
28.0ms
(/ 1 (- (/ (acos a) a)))

simplify5.7s

Counts
178 → 178
Iterations

Useful iterations: 3 (711.0ms)

IterNodesCost
02652409
14722004
27741861
315101711
427551711
done50001711

prune309.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- (acos a)))
0.6b
(/ (/ 1 (- (acos a))) (/ 1 a))

rewrite112.0ms

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:
15.0ms
(/ 1 (- (acos a)))
47.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

series58.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ 1 (- (acos a)))
49.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

simplify2.6s

Counts
590 → 590
Iterations

Useful iterations: done (2.6s)

IterNodesCost
081112543
123508820
232627448
done50007226

prune451.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes67.0ms

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

sample1.3s

Algorithm
intervals
Results
292.0ms8000×body80valid
240.0ms7937×body80nan