Details

Time bar (total: 14.9s)

sample18.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
4.0ms282×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

localize4.0ms

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)))

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(/ a (- (acos a)))

simplify3.2s

Counts
60 → 60
Iterations

Useful iterations: 5 (1.3s)

IterNodesCost
096613
1166581
2330563
3716563
41242563
52180558
done5000558

prune125.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

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:
2.0ms
(/ (acos a) a)
10.0ms
(/ 1 (- (/ (acos a) a)))

series59.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (acos a) a)
25.0ms
(/ 1 (- (/ (acos a) a)))

simplify4.1s

Counts
178 → 178
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
02652409
14872102
29631864
320571711
441251711
done50011711

prune239.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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:
3.0ms
(/ 1 (- (* (acos a) (/ 1 a))))
8.0ms
(* (acos a) (/ 1 a))

series58.0ms

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

simplify3.8s

Counts
91 → 91
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
0138989
1297744
2732619
32374581
done5000581

prune158.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
430×times-frac
206×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
30×div-inv
26×add-exp-log
17×div-exp
16×associate-/r* add-cbrt-cube associate-/l*
9×cbrt-undiv
2×pow1 expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×associate-/r/ associate-/l/
Counts
2 → 250
Calls
2 calls:
2.0ms
(/ -1 (acos a))
11.0ms
(/ (/ -1 (acos a)) (/ 1 a))

series32.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ -1 (acos a))
26.0ms
(/ (/ -1 (acos a)) (/ 1 a))

simplify2.1s

Counts
256 → 256
Iterations

Useful iterations: done (2.1s)

IterNodesCost
04184766
112094123
233943396
done50003392

prune324.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes55.0ms

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

sample448.0ms

Algorithm
intervals
Results
163.0ms8000×body80valid
110.0ms8246×body80nan