Details

Time bar (total: 56.9s)

sample35.0ms

Algorithm
intervals
Results
21.0ms321×body80valid

simplify59.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
59.0ms
(/ (* a1 a2) (* b1 b2))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.0b

localize19.0ms

Local error

Found 1 expressions with local error:

10.0b
(/ (* a1 a2) (* b1 b2))

rewrite23.0ms

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 expm1-log1p-u pow1 clear-num associate-/r* frac-2neg *-un-lft-identity times-frac add-cube-cbrt insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 24
Calls
1 calls:
Slowest
23.0ms
(/ (* a1 a2) (* b1 b2))

series43.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
43.0ms
(/ (* a1 a2) (* b1 b2))

simplify3.6s

Counts
13 → 27
Calls
13 calls:
Slowest
940.0ms
(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
778.0ms
(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
743.0ms
(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
556.0ms
(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
135.0ms
(- (log (* a1 a2)) (+ (log b1) (log b2)))

prune276.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

5.6b
(/ (/ (* a1 a2) b1) b2)
4.4b
(/ (* a1 a2) b1)

rewrite41.0ms

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
8×associate-/l*
7×cbrt-undiv div-exp
6×associate-/r* div-inv
2×expm1-log1p-u pow1 clear-num frac-2neg prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 75
Calls
2 calls:
Slowest
21.0ms
(/ (/ (* a1 a2) b1) b2)
18.0ms
(/ (* a1 a2) b1)

series92.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
56.0ms
(/ (/ (* a1 a2) b1) b2)
36.0ms
(/ (* a1 a2) b1)

simplify3.9s

Counts
75 → 81
Calls
75 calls:
Slowest
434.0ms
(/ (/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* b1 b1) b1)) (* (* b2 b2) b2))
365.0ms
(/ (/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* b1 b1) b1)) (* (* b2 b2) b2))
217.0ms
(- (- (+ (log a1) (log a2)) (log b1)) (log b2))
212.0ms
(- (log (/ (* a1 a2) b1)) (log b2))
203.0ms
(- (- (log (* a1 a2)) (log b1)) (log b2))

prune807.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

5.6b
(* (/ (* a1 a2) b1) (/ 1 b2))
4.4b
(/ (* a1 a2) b1)

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
28×add-cbrt-cube
20×add-sqr-sqrt
17×times-frac prod-exp
16×div-exp
14×*-un-lft-identity
13×associate-*r* add-cube-cbrt
9×cbrt-undiv cbrt-unprod
7×associate-*l*
4×pow1
3×rec-exp associate-/r* 1-exp div-inv unswap-sqr
2×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ un-div-inv *-commutative associate-/l*
Counts
2 → 81
Calls
2 calls:
Slowest
32.0ms
(* (/ (* a1 a2) b1) (/ 1 b2))
13.0ms
(/ (* a1 a2) b1)

series70.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
42.0ms
(* (/ (* a1 a2) b1) (/ 1 b2))
28.0ms
(/ (* a1 a2) b1)

simplify7.7s

Counts
65 → 87
Calls
65 calls:
Slowest
504.0ms
(+ (- (log (* a1 a2)) (log b1)) (- (log 1) (log b2)))
497.0ms
(+ (- (log (* a1 a2)) (log b1)) (log (/ 1 b2)))
472.0ms
(* (/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* b1 b1) b1)) (/ (* (* 1 1) 1) (* (* b2 b2) b2)))
463.0ms
(* (/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* b1 b1) b1)) (/ (* (* 1 1) 1) (* (* b2 b2) b2)))
440.0ms
(+ (- (+ (log a1) (log a2)) (log b1)) (- 0 (log b2)))

prune884.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

5.2b
(/ (/ a1 (/ b2 a2)) b1)
4.2b
(/ a1 (/ b2 a2))

rewrite39.0ms

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×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 272
Calls
2 calls:
Slowest
24.0ms
(/ (/ a1 (/ b2 a2)) b1)
9.0ms
(/ a1 (/ b2 a2))

series61.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
36.0ms
(/ (/ a1 (/ b2 a2)) b1)
25.0ms
(/ a1 (/ b2 a2))

simplify34.0s

Counts
417 → 278
Calls
417 calls:
Slowest
587.0ms
(/ (* (cbrt a1) (cbrt a1)) (/ (* (cbrt b2) (cbrt b2)) (* (cbrt a2) (cbrt a2))))
531.0ms
(/ (/ (sqrt a1) (/ (* (cbrt b2) (cbrt b2)) (* (cbrt a2) (cbrt a2)))) 1)
484.0ms
(/ (* (cbrt a1) (cbrt a1)) (/ (* (cbrt b2) (cbrt b2)) (* (cbrt a2) (cbrt a2))))
481.0ms
(/ (/ (* (cbrt a1) (cbrt a1)) (/ (* (cbrt b2) (cbrt b2)) (* (cbrt a2) (cbrt a2)))) (* (cbrt b1) (cbrt b1)))
481.0ms
(/ (/ 1 (/ 1 (* (cbrt a2) (cbrt a2)))) (* (cbrt b1) (cbrt b1)))

prune2.7s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes791.0ms

Accuracy

65.9% (3.6b remaining)

Error of 3.6b against oracle of 0.0b and baseline of 10.6b

bsearch7.0ms

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.4s9971×body80valid