Details

Time bar (total: 1.6m)

sample46.0ms

Algorithm
intervals
Results
30.0ms313×body80valid

simplify70.0ms

Calls
1 calls:
Slowest
70.0ms
(/ (* a1 a2) (* b1 b2))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.8b

localize19.0ms

Local error

Found 1 expressions with local error:

11.8b
(/ (* a1 a2) (* b1 b2))

rewrite25.0ms

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 insert-posit16 div-inv associate-/l* add-log-exp
Calls
1 calls:
Slowest
24.0ms
(/ (* a1 a2) (* b1 b2))

series35.0ms

Calls
1 calls:
Slowest
35.0ms
(/ (* a1 a2) (* b1 b2))

simplify3.3s

Calls
13 calls:
Slowest
814.0ms
(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
754.0ms
(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
668.0ms
(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
529.0ms
(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
142.0ms
(- (log (* a1 a2)) (+ (log b1) (log b2)))

prune239.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

7.0b
(/ a1 (/ (* b1 b2) a2))
4.4b
(/ (* b1 b2) a2)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×add-cbrt-cube add-exp-log
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
4×associate-/l*
2×pow1 clear-num frac-2neg prod-exp cbrt-unprod insert-posit16 add-log-exp
1×associate-/r/
Calls
2 calls:
Slowest
9.0ms
(/ (* b1 b2) a2)
8.0ms
(/ a1 (/ (* b1 b2) a2))

series85.0ms

Calls
2 calls:
Slowest
52.0ms
(/ a1 (/ (* b1 b2) a2))
32.0ms
(/ (* b1 b2) a2)

simplify3.7s

Calls
75 calls:
Slowest
376.0ms
(/ (* (* a1 a1) a1) (/ (* (* (* b1 b2) (* b1 b2)) (* b1 b2)) (* (* a2 a2) a2)))
299.0ms
(/ (* (* a1 a1) a1) (/ (* (* (* b1 b1) b1) (* (* b2 b2) b2)) (* (* a2 a2) a2)))
247.0ms
(- (log a1) (- (+ (log b1) (log b2)) (log a2)))
178.0ms
(- (log a1) (- (log (* b1 b2)) (log a2)))
158.0ms
(/ (* (* a1 a1) a1) (* (* (/ (* b1 b2) a2) (/ (* b1 b2) a2)) (/ (* b1 b2) a2)))

prune736.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

6.3b
(/ a1 (/ b2 a2))
5.4b
(* (/ 1 b1) (/ a1 (/ b2 a2)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
165×times-frac
116×add-sqr-sqrt
89×*-un-lft-identity
86×add-cube-cbrt
46×add-exp-log
44×associate-*r*
28×add-cbrt-cube
21×div-exp
13×associate-/r* associate-*l*
12×cbrt-undiv prod-exp
10×div-inv
9×unswap-sqr
6×cbrt-unprod
4×pow1
3×rec-exp 1-exp associate-/l*
2×associate-/r/ insert-posit16 add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Calls
2 calls:
Slowest
18.0ms
(* (/ 1 b1) (/ a1 (/ b2 a2)))
13.0ms
(/ a1 (/ b2 a2))

series69.0ms

Calls
2 calls:
Slowest
36.0ms
(/ a1 (/ b2 a2))
33.0ms
(* (/ 1 b1) (/ a1 (/ b2 a2)))

simplify13.9s

Calls
198 calls:
Slowest
557.0ms
(+ (- 0 (log b1)) (log (/ a1 (/ b2 a2))))
518.0ms
(/ (* (cbrt a1) (cbrt a1)) (/ (* (cbrt b2) (cbrt b2)) (* (cbrt a2) (cbrt a2))))
512.0ms
(+ (- (log 1) (log b1)) (log (/ a1 (/ b2 a2))))
453.0ms
(+ (log (/ 1 b1)) (- (log a1) (log (/ b2 a2))))
442.0ms
(* (/ (sqrt 1) (sqrt b1)) (/ (sqrt a1) (/ (sqrt b2) (sqrt a2))))

prune1.9s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 2 expressions with local error:

5.4b
(* (/ 1 b1) (/ (/ a1 b2) (/ 1 a2)))
5.2b
(/ (/ a1 b2) (/ 1 a2))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
886×times-frac
470×add-sqr-sqrt
401×*-un-lft-identity
388×add-cube-cbrt
174×associate-*r*
161×add-exp-log
98×div-exp
57×div-inv
55×add-cbrt-cube
36×prod-exp
29×cbrt-undiv
21×unswap-sqr
19×rec-exp 1-exp
13×associate-/r* associate-*l* associate-/l*
10×cbrt-unprod
4×pow1
2×associate-/r/ insert-posit16 add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Calls
2 calls:
Slowest
36.0ms
(* (/ 1 b1) (/ (/ a1 b2) (/ 1 a2)))
10.0ms
(/ (/ a1 b2) (/ 1 a2))

series87.0ms

Calls
2 calls:
Slowest
65.0ms
(* (/ 1 b1) (/ (/ a1 b2) (/ 1 a2)))
23.0ms
(/ (/ a1 b2) (/ 1 a2))

simplify1.0m

Calls
657 calls:
Slowest
948.0ms
(* (/ (sqrt 1) (sqrt b1)) (/ (/ (sqrt a1) (sqrt b2)) (sqrt (/ 1 a2))))
876.0ms
(/ (* (* (/ a1 b2) (/ a1 b2)) (/ a1 b2)) (* (* (/ 1 a2) (/ 1 a2)) (/ 1 a2)))
617.0ms
(* (/ 1 b1) (/ (/ a1 b2) (/ 1 a2)))
577.0ms
(* (/ (sqrt 1) (sqrt b1)) (/ (/ (sqrt a1) (sqrt b2)) (sqrt (/ 1 a2))))
564.0ms
(* (/ 1 (sqrt b1)) (/ (/ (sqrt a1) (sqrt b2)) (sqrt (/ 1 a2))))

prune5.7s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes569.0ms

Accuracy

51.5% (5.3b remaining)

Error of 5.3b against oracle of 0.0b and baseline of 11.0b

bsearch6.0ms

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.3s10036×body80valid