Details

Time bar (total: 14.4s)

sample39.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
8.0ms243×body80nan

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
done45

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite19.0ms

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

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(/ a (- (acos a)))

simplify1.4s

Counts
60 → 60
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
096613
1173581
2463563
32074563
done5000563

prune152.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
252×times-frac
140×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
48×distribute-lft-neg-in distribute-rgt-neg-in
37×associate-/r*
16×neg-mul-1
15×add-exp-log
13×associate-/l*
9×add-cbrt-cube
8×div-exp
6×div-inv
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×neg-sub0 pow-flip div-sub distribute-frac-neg associate-/r/ inv-pow
Counts
2 → 221
Calls
2 calls:
9.0ms
(/ (- (acos a)) a)
27.0ms
(/ 1 (/ (- (acos a)) a))

series98.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (- (acos a)) a)
46.0ms
(/ 1 (/ (- (acos a)) a))

simplify2.1s

Counts
227 → 227
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02923194
17902648
239972582
done50002578

prune445.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite144.0ms

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:
16.0ms
(/ 1 (- (acos a)))
50.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

series55.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ 1 (- (acos a)))
47.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

simplify3.0s

Counts
590 → 590
Iterations

Useful iterations: done (3.0s)

IterNodesCost
081112543
129509132
done50018296

prune539.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (pow (- (acos a)) 3))
0.4b
(/ (cbrt (/ 1 (pow (- (acos a)) 3))) (/ 1 a))
1.0b
(cbrt (/ 1 (pow (- (acos a)) 3)))
1.0b
(pow (- (acos a)) 3)

rewrite413.0ms

Algorithm
rewrite-expression-head
Rules
3127×times-frac
1402×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1230×cbrt-prod
500×unpow-prod-down cube-prod
300×distribute-lft-neg-in distribute-rgt-neg-in
103×div-inv
100×neg-mul-1
88×associate-/l*
50×cube-mult unpow3 sqr-pow
39×associate-/r*
23×add-exp-log
12×div-exp
10×add-cbrt-cube
5×pow1
4×cbrt-undiv expm1-log1p-u pow-to-exp rec-exp 1-exp pow-exp log1p-expm1-u add-log-exp
3×pow-unpow
2×cbrt-div frac-2neg clear-num
1×pow-flip pow-pow pow1/3 cube-neg associate-/r/ associate-/l/ inv-pow rem-cube-cbrt
Counts
4 → 1487
Calls
4 calls:
30.0ms
(/ 1 (pow (- (acos a)) 3))
121.0ms
(/ (cbrt (/ 1 (pow (- (acos a)) 3))) (/ 1 a))
20.0ms
(cbrt (/ 1 (pow (- (acos a)) 3)))
10.0ms
(pow (- (acos a)) 3)

series357.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(/ 1 (pow (- (acos a)) 3))
90.0ms
(/ (cbrt (/ 1 (pow (- (acos a)) 3))) (/ 1 a))
64.0ms
(cbrt (/ 1 (pow (- (acos a)) 3)))
146.0ms
(pow (- (acos a)) 3)

simplify3.0s

Counts
1499 → 1499
Iterations

Useful iterations: done (3.0s)

IterNodesCost
0135939916
1350128188
done500025642

prune1.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes63.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
done45

end0.0ms

sample923.0ms

Algorithm
intervals
Results
274.0ms8000×body80valid
251.0ms7917×body80nan