Details

Time bar (total: 27.6s)

sample28.0ms

Algorithm
intervals
Results
9.0ms315×body80valid

simplify54.0ms

Counts
1 → 1
Iterations
IterNodes
done79
479
367
237
116
07

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.3b

localize28.0ms

Local error

Found 1 expressions with local error:

11.6b
(/ (* a1 a2) (* b1 b2))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube add-exp-log
4×cbrt-undiv div-exp prod-exp cbrt-unprod
1×add-sqr-sqrt pow1 clear-num associate-/r* frac-2neg *-un-lft-identity times-frac add-cube-cbrt div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
20.0ms
(/ (* a1 a2) (* b1 b2))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(/ (* a1 a2) (* b1 b2))

simplify1.3s

Counts
24 → 24
Iterations
IterNodes
done5000
2950
1162
055

prune120.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

5.4b
(/ a1 (/ b1 a2))
6.8b
(/ (/ a1 (/ b1 a2)) b2)

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
471×times-frac
229×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
47×associate-/l*
22×div-inv
16×associate-/r* add-cbrt-cube add-exp-log
9×cbrt-undiv div-exp
5×associate-/r/
2×pow1 clear-num frac-2neg add-log-exp
1×associate-/l/
Counts
2 → 266
Calls
2 calls:
7.0ms
(/ a1 (/ b1 a2))
27.0ms
(/ (/ a1 (/ b1 a2)) b2)

series84.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ a1 (/ b1 a2))
49.0ms
(/ (/ a1 (/ b1 a2)) b2)

simplify644.0ms

Counts
272 → 272
Iterations
IterNodes
done5001
11234
0465

prune1.8s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

5.4b
(/ (- a1) (- (/ b1 a2)))
6.8b
(/ (/ (- a1) (- (/ b1 a2))) b2)

rewrite333.0ms

Algorithm
rewrite-expression-head
Rules
3333×times-frac
1530×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
1116×distribute-lft-neg-in distribute-rgt-neg-in
315×associate-/l*
202×neg-mul-1
108×div-inv
33×associate-/r*
9×add-cbrt-cube add-exp-log
5×associate-/r/ distribute-neg-frac
4×cbrt-undiv div-exp
3×div-sub distribute-frac-neg
2×neg-sub0 pow1 clear-num frac-2neg add-log-exp
1×associate-/l/
Counts
2 → 1595
Calls
2 calls:
40.0ms
(/ (- a1) (- (/ b1 a2)))
115.0ms
(/ (/ (- a1) (- (/ b1 a2))) b2)

series67.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (- a1) (- (/ b1 a2)))
35.0ms
(/ (/ (- a1) (- (/ b1 a2))) b2)

simplify1.4s

Counts
1601 → 1601
Iterations
IterNodes
done5000
02230

prune10.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a1)
0.6b
(cbrt a1)
3.4b
(* (/ (cbrt a1) (/ b1 (cbrt a1))) (/ (- (cbrt a1)) (- (/ 1 a2))))
6.8b
(/ (* (/ (cbrt a1) (/ b1 (cbrt a1))) (/ (- (cbrt a1)) (- (/ 1 a2)))) b2)

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
1038×times-frac
577×add-sqr-sqrt
522×*-un-lft-identity add-cube-cbrt
485×associate-*r*
388×distribute-lft-neg-in distribute-rgt-neg-in
316×cbrt-prod
137×associate-*l*
54×add-exp-log
46×neg-mul-1
42×add-cbrt-cube
41×div-inv
25×cbrt-undiv div-exp
14×unswap-sqr
12×prod-exp cbrt-unprod
6×pow1
4×add-log-exp
3×associate-/r* distribute-frac-neg associate-/l/
2×frac-times pow1/3 associate-*l/ associate-*r/ associate-/r/ distribute-rgt-neg-out
1×clear-num frac-2neg pow-prod-down *-commutative distribute-neg-frac associate-/l*
Counts
4 → 718
Calls
4 calls:
1.0ms
(cbrt a1)
1.0ms
(cbrt a1)
1.1s
(* (/ (cbrt a1) (/ b1 (cbrt a1))) (/ (- (cbrt a1)) (- (/ 1 a2))))
95.0ms
(/ (* (/ (cbrt a1) (/ b1 (cbrt a1))) (/ (- (cbrt a1)) (- (/ 1 a2)))) b2)

series808.0ms

Counts
4 → 12
Calls
4 calls:
328.0ms
(cbrt a1)
289.0ms
(cbrt a1)
83.0ms
(* (/ (cbrt a1) (/ b1 (cbrt a1))) (/ (- (cbrt a1)) (- (/ 1 a2))))
109.0ms
(/ (* (/ (cbrt a1) (/ b1 (cbrt a1))) (/ (- (cbrt a1)) (- (/ 1 a2)))) b2)

simplify2.8s

Counts
730 → 730
Iterations
IterNodes
done5001
14721
01146

prune4.6s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes647.0ms

Accuracy

52.8% (4.9b remaining)

Error of 4.9b against oracle of 0.0b and baseline of 10.4b

bsearch2.0ms

simplify6.0ms

Iterations
IterNodes
done32
132
029

end0.0ms

sample1.1s

Algorithm
intervals
Results
419.0ms10059×body80valid