Details

Time bar (total: 13.7s)

sample37.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
7.0ms243×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

localize9.0ms

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 frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 55
Calls
1 calls:
15.0ms
(/ a (- (acos a)))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(/ a (- (acos a)))

simplify1.7s

Counts
58 → 58
Iterations

Useful iterations: 3 (350.0ms)

IterNodesCost
094601
1171569
2459553
31923551
done5000551

prune153.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite60.0ms

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×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×neg-sub0 pow-flip div-sub distribute-frac-neg associate-/r/ inv-pow
Counts
2 → 217
Calls
2 calls:
17.0ms
(/ (- (acos a)) a)
15.0ms
(/ 1 (/ (- (acos a)) a))

series106.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(/ (- (acos a)) a)
46.0ms
(/ 1 (/ (- (acos a)) a))

simplify2.1s

Counts
223 → 223
Iterations

Useful iterations: 2 (823.0ms)

IterNodesCost
02883166
17852618
239032550
done50012550

prune403.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite161.0ms

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:
16.0ms
(/ 1 (- (acos a)))
69.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

series59.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(/ 1 (- (acos a)))
44.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

simplify2.5s

Counts
586 → 586
Iterations

Useful iterations: done (2.4s)

IterNodesCost
080712511
129399204
done50008268

prune526.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize15.0ms

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)

rewrite338.0ms

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 pow-to-exp rec-exp 1-exp pow-exp 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 → 1479
Calls
4 calls:
27.0ms
(/ 1 (pow (- (acos a)) 3))
105.0ms
(/ (cbrt (/ 1 (pow (- (acos a)) 3))) (/ 1 a))
10.0ms
(cbrt (/ 1 (pow (- (acos a)) 3)))
5.0ms
(pow (- (acos a)) 3)

series333.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(/ 1 (pow (- (acos a)) 3))
94.0ms
(/ (cbrt (/ 1 (pow (- (acos a)) 3))) (/ 1 a))
66.0ms
(cbrt (/ 1 (pow (- (acos a)) 3)))
101.0ms
(pow (- (acos a)) 3)

simplify3.1s

Counts
1491 → 1491
Iterations

Useful iterations: done (3.1s)

IterNodesCost
0135139844
1349228470
done500025942

prune960.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes72.0ms

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

sample976.0ms

Algorithm
intervals
Results
320.0ms8000×body80valid
227.0ms7917×body80nan