Details

Time bar (total: 1.2m)

sample48.0ms

Algorithm
intervals
Results
29.0ms316×body80valid

simplify62.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
61.0ms
(/ (* a1 a2) (* b1 b2))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.4b

localize9.0ms

Local error

Found 1 expressions with local error:

10.4b
(/ (* a1 a2) (* b1 b2))

rewrite17.0ms

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
Counts
1 → 22
Calls
1 calls:
Slowest
16.0ms
(/ (* a1 a2) (* b1 b2))

series50.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
50.0ms
(/ (* a1 a2) (* b1 b2))

simplify3.3s

Counts
13 → 25
Calls
13 calls:
Slowest
811.0ms
(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
702.0ms
(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
652.0ms
(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
550.0ms
(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
171.0ms
(- (+ (log a1) (log a2)) (+ (log b1) (log b2)))

prune250.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

6.8b
(/ (/ (* a1 a2) b1) b2)
3.8b
(/ (* a1 a2) b1)

rewrite19.0ms

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×pow1 clear-num frac-2neg prod-exp cbrt-unprod insert-posit16 add-log-exp
1×associate-/l/
Counts
2 → 71
Calls
2 calls:
Slowest
10.0ms
(/ (/ (* a1 a2) b1) b2)
8.0ms
(/ (* a1 a2) b1)

series89.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
46.0ms
(/ (/ (* a1 a2) b1) b2)
43.0ms
(/ (* a1 a2) b1)

simplify3.7s

Counts
75 → 77
Calls
75 calls:
Slowest
391.0ms
(/ (/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* b1 b1) b1)) (* (* b2 b2) b2))
387.0ms
(/ (/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* b1 b1) b1)) (* (* b2 b2) b2))
240.0ms
(- (log (/ (* a1 a2) b1)) (log b2))
221.0ms
(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* b1 b1) b1))
209.0ms
(- (- (+ (log a1) (log a2)) (log b1)) (log b2))

prune756.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

5.8b
(* (/ (* a1 a2) (* (cbrt b2) (cbrt b2))) (/ (/ 1 b1) (cbrt b2)))
4.4b
(/ (* a1 a2) (* (cbrt b2) (cbrt b2)))
0.6b
(cbrt b2)
0.6b
(cbrt b2)

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
131×add-exp-log
98×add-sqr-sqrt
82×associate-*r*
78×*-un-lft-identity
76×add-cube-cbrt
59×add-cbrt-cube
54×div-exp
49×prod-exp
48×cbrt-prod
31×cbrt-undiv cbrt-unprod
9×div-inv
7×unswap-sqr
6×pow1
5×rec-exp 1-exp associate-*l*
4×insert-posit16 add-log-exp
2×pow1/3
1×frac-times clear-num associate-/r* frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l*
Counts
4 → 193
Calls
4 calls:
Slowest
54.0ms
(* (/ (* a1 a2) (* (cbrt b2) (cbrt b2))) (/ (/ 1 b1) (cbrt b2)))
24.0ms
(/ (* a1 a2) (* (cbrt b2) (cbrt b2)))
1.0ms
(cbrt b2)
1.0ms
(cbrt b2)

series860.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
297.0ms
(cbrt b2)
288.0ms
(cbrt b2)
184.0ms
(/ (* a1 a2) (* (cbrt b2) (cbrt b2)))
90.0ms
(* (/ (* a1 a2) (* (cbrt b2) (cbrt b2))) (/ (/ 1 b1) (cbrt b2)))

simplify26.3s

Counts
174 → 205
Calls
174 calls:
Slowest
1.1s
(* (/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* (cbrt b2) (cbrt b2)) (* (cbrt b2) (cbrt b2))) (* (cbrt b2) (cbrt b2)))) (/ (/ (* (* 1 1) 1) (* (* b1 b1) b1)) b2))
1.0s
(* (/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* (cbrt b2) (cbrt b2)) (* (cbrt b2) (cbrt b2))) (* (cbrt b2) (cbrt b2)))) (/ (/ (* (* 1 1) 1) (* (* b1 b1) b1)) b2))
961.0ms
(* (/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* (cbrt b2) (cbrt b2)) (* (cbrt b2) (cbrt b2))) (* (cbrt b2) (cbrt b2)))) (* (* (/ (/ 1 b1) (cbrt b2)) (/ (/ 1 b1) (cbrt b2))) (/ (/ 1 b1) (cbrt b2))))
912.0ms
(* (/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* (cbrt b2) (cbrt b2)) (* (cbrt b2) (cbrt b2))) (* (cbrt b2) (cbrt b2)))) (* (* (/ (/ 1 b1) (cbrt b2)) (/ (/ 1 b1) (cbrt b2))) (/ (/ 1 b1) (cbrt b2))))
820.0ms
(+ (- (+ (log a1) (log a2)) (+ (log (cbrt b2)) (log (cbrt b2)))) (- (log (/ 1 b1)) (log (cbrt b2))))

prune2.7s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

6.8b
(/ b2 (/ (* a1 a2) b1))
3.8b
(/ (* a1 a2) b1)
0.4b
(/ 1 (/ b2 (/ (* a1 a2) b1)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
234×times-frac
104×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
51×add-exp-log
36×associate-/r*
31×add-cbrt-cube
30×div-exp
23×div-inv
16×cbrt-undiv
7×associate-/l*
6×associate-/r/
5×prod-exp
4×pow1 rec-exp 1-exp
3×clear-num frac-2neg cbrt-unprod insert-posit16 add-log-exp
1×pow-flip inv-pow
Counts
3 → 208
Calls
3 calls:
Slowest
20.0ms
(/ (* a1 a2) b1)
12.0ms
(/ 1 (/ b2 (/ (* a1 a2) b1)))
7.0ms
(/ b2 (/ (* a1 a2) b1))

series123.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
55.0ms
(/ 1 (/ b2 (/ (* a1 a2) b1)))
35.0ms
(/ b2 (/ (* a1 a2) b1))
33.0ms
(/ (* a1 a2) b1)

simplify26.8s

Counts
275 → 217
Calls
275 calls:
Slowest
489.0ms
(/ (* (* 1 1) 1) (/ (* (* b2 b2) b2) (/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* b1 b1) b1))))
465.0ms
(/ (* (* 1 1) 1) (/ (* (* b2 b2) b2) (/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* b1 b1) b1))))
460.0ms
(/ (sqrt 1) (/ (* (cbrt b2) (cbrt b2)) (/ a1 (sqrt b1))))
414.0ms
(/ (sqrt 1) (/ (* (cbrt b2) (cbrt b2)) (* a1 a2)))
412.0ms
(/ (cbrt 1) (/ (cbrt b2) (/ (* a1 a2) b1)))

prune2.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes654.0ms

Accuracy

58.3% (3.9b remaining)

Error of 3.9b against oracle of 0.0b and baseline of 9.4b

bsearch17.0ms

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.2s10024×body80valid