Details

Time bar (total: 14.8s)

sample18.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
4.0ms259×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: 0.2b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ 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 expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 57
Calls
1 calls:
4.0ms
(/ a (- (acos a)))

series35.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(/ a (- (acos a)))

simplify3.2s

Counts
60 → 60
Iterations

Useful iterations: 5 (1.4s)

IterNodesCost
096613
1166581
2330563
3716563
41240563
52182558
done5000558

prune139.0ms

Pruning

9 alts after pruning (8 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)))

rewrite22.0ms

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:
3.0ms
(/ (acos a) a)
11.0ms
(/ 1 (- (/ (acos a) a)))

series68.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (acos a) a)
37.0ms
(/ 1 (- (/ (acos a) a)))

simplify3.9s

Counts
178 → 178
Iterations

Useful iterations: 3 (665.0ms)

IterNodesCost
02652409
14872004
27891861
317191711
434571711
done50001711

prune270.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite64.0ms

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:
2.0ms
(/ 1 (acos a))
20.0ms
(/ (/ 1 (acos a)) (- (/ 1 a)))

series35.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ 1 (acos a))
29.0ms
(/ (/ 1 (acos a)) (- (/ 1 a)))

simplify2.1s

Counts
492 → 492
Iterations

Useful iterations: done (2.1s)

IterNodesCost
071310319
118327603
230036678
done50006660

prune411.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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:
4.0ms
(/ 1 (- (* (acos a) (/ 1 a))))
8.0ms
(* (acos a) (/ 1 a))

series63.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ 1 (- (* (acos a) (/ 1 a))))
34.0ms
(* (acos a) (/ 1 a))

simplify3.8s

Counts
91 → 91
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
0138989
1297700
2649619
32303581
done5000581

prune153.0ms

Pruning

6 alts after pruning (4 fresh and 2 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

sample450.0ms

Algorithm
intervals
Results
169.0ms8000×body80valid
110.0ms8082×body80nan