Details

Time bar (total: 11.9s)

sample17.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
3.0ms232×body80nan

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
045
done45

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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:
3.0ms
(/ a (- (acos a)))

series23.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(/ a (- (acos a)))

simplify2.0s

Counts
58 → 58
Iterations

Useful iterations: 5 (966.0ms)

IterNodesCost
094601
1164569
2328551
3713551
41237551
52179546
done5001546

prune113.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

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 frac-2neg clear-num add-log-exp
1×acos-asin rec-exp pow-flip 1-exp div-sub associate-/r/ distribute-neg-frac inv-pow
Counts
2 → 168
Calls
2 calls:
2.0ms
(/ (acos a) a)
12.0ms
(/ 1 (- (/ (acos a) a)))

series50.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ (acos a) a)
23.0ms
(/ 1 (- (/ (acos a) a)))

simplify2.5s

Counts
174 → 174
Iterations

Useful iterations: 3 (529.0ms)

IterNodesCost
02612383
14831978
27851835
317081689
434521689
done50001689

prune211.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite73.0ms

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:
4.0ms
(/ 1 (- (acos a)))
21.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

series36.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ 1 (- (acos a)))
30.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

simplify2.1s

Counts
586 → 586
Iterations

Useful iterations: 2 (1.7s)

IterNodesCost
080712511
125258792
237627424
done50007424

prune320.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
111×add-exp-log
72×div-exp
61×times-frac
39×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
34×1-exp
32×prod-exp
25×add-cbrt-cube
23×associate-/r*
18×rec-exp
12×cbrt-undiv distribute-lft-neg-in distribute-rgt-neg-in
4×neg-mul-1 cbrt-unprod div-inv associate-/l*
3×pow1
2×frac-2neg clear-num associate-/l/ add-log-exp
1×pow-flip associate-*r/ associate-/r/ un-div-inv inv-pow
Counts
2 → 141
Calls
2 calls:
4.0ms
(/ 1 (- (acos a)))
10.0ms
(/ (* 1 (/ 1 (- (acos a)))) (/ 1 a))

series29.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ 1 (- (acos a)))
24.0ms
(/ (* 1 (/ 1 (- (acos a)))) (/ 1 a))

simplify3.7s

Counts
147 → 147
Iterations

Useful iterations: 4 (2.2s)

IterNodesCost
02211905
15971297
210951046
321661040
444601014
done50001014

prune133.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes53.0ms

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

sample468.0ms

Algorithm
intervals
Results
173.0ms8000×body80valid
115.0ms8120×body80nan