Details

Time bar (total: 36.9s)

sample28.0ms

Algorithm
intervals
Results
17.0ms326×body80valid

simplify75.0ms

Calls
1 calls:
Slowest
75.0ms
(/ (* a1 a2) (* b1 b2))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.2b

localize18.0ms

Local error

Found 1 expressions with local error:

9.2b
(/ (* 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 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
22.0ms
(/ (* a1 a2) (* b1 b2))

series55.0ms

Calls
1 calls:
Slowest
55.0ms
(/ (* a1 a2) (* b1 b2))

simplify3.5s

Calls
13 calls:
Slowest
824.0ms
(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
698.0ms
(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
691.0ms
(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
629.0ms
(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
138.0ms
(- (log (* a1 a2)) (+ (log b1) (log b2)))

prune632.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

8.6b
(/ (* b1 b2) (* a1 a2))
1.2b
(/ 1 (/ (* b1 b2) (* a1 a2)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
58×add-exp-log
32×add-cbrt-cube
26×div-exp
20×times-frac
16×prod-exp
13×cbrt-undiv
12×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
8×cbrt-unprod
6×associate-/r* div-inv
5×rec-exp 1-exp
4×associate-/l*
3×pow1
2×clear-num frac-2neg insert-posit16 add-log-exp
1×associate-/r/ pow-flip inv-pow
Calls
2 calls:
Slowest
28.0ms
(/ 1 (/ (* b1 b2) (* a1 a2)))
16.0ms
(/ (* b1 b2) (* a1 a2))

series99.0ms

Calls
2 calls:
Slowest
57.0ms
(/ 1 (/ (* b1 b2) (* a1 a2)))
41.0ms
(/ (* b1 b2) (* a1 a2))

simplify13.7s

Calls
70 calls:
Slowest
970.0ms
(/ (* (* 1 1) 1) (/ (* (* (* b1 b2) (* b1 b2)) (* b1 b2)) (* (* (* a1 a2) (* a1 a2)) (* a1 a2))))
831.0ms
(/ (* (* (* b1 b2) (* b1 b2)) (* b1 b2)) (* (* (* a1 a2) (* a1 a2)) (* a1 a2)))
790.0ms
(/ (* (* 1 1) 1) (/ (* (* (* b1 b1) b1) (* (* b2 b2) b2)) (* (* (* a1 a2) (* a1 a2)) (* a1 a2))))
709.0ms
(/ (* (* (* b1 b1) b1) (* (* b2 b2) b2)) (* (* (* a1 a2) (* a1 a2)) (* a1 a2)))
707.0ms
(/ (* (* (* b1 b2) (* b1 b2)) (* b1 b2)) (* (* (* a1 a1) a1) (* (* a2 a2) a2)))

prune792.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

9.4b
(* (/ (/ 1 b2) b1) (* a1 a2))
0.2b
(/ (/ 1 b2) b1)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
79×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
46×add-exp-log
43×associate-*l*
28×add-cbrt-cube
18×div-exp
15×prod-exp
13×associate-/l*
9×cbrt-undiv cbrt-unprod div-inv
7×pow1
3×rec-exp associate-/r* 1-exp pow-prod-down
2×insert-posit16 add-log-exp
1×clear-num frac-2neg associate-*r* associate-*l/ *-commutative associate-/l/
Calls
2 calls:
Slowest
26.0ms
(* (/ (/ 1 b2) b1) (* a1 a2))
7.0ms
(/ (/ 1 b2) b1)

series61.0ms

Calls
2 calls:
Slowest
37.0ms
(* (/ (/ 1 b2) b1) (* a1 a2))
24.0ms
(/ (/ 1 b2) b1)

simplify11.2s

Calls
164 calls:
Slowest
487.0ms
(+ (- (- 0 (log b2)) (log b1)) (+ (log a1) (log a2)))
459.0ms
(+ (log (/ (/ 1 b2) b1)) (+ (log a1) (log a2)))
404.0ms
(+ (log (/ (/ 1 b2) b1)) (log (* a1 a2)))
404.0ms
(/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt b2) (cbrt b2))) (* (cbrt b1) (cbrt b1)))
371.0ms
(/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt b2) (cbrt b2))) (* (cbrt b1) (cbrt b1)))

prune1.5s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

5.8b
(* a1 (/ a2 (* b2 b1)))
5.5b
(/ a2 (* b2 b1))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube add-exp-log
9×add-sqr-sqrt
7×*-un-lft-identity associate-*r* add-cube-cbrt
6×times-frac
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp
3×associate-*l* associate-/l*
2×insert-posit16 div-inv add-log-exp
1×clear-num associate-/r* frac-2neg pow-prod-down associate-*r/ *-commutative unswap-sqr
Calls
2 calls:
Slowest
18.0ms
(/ a2 (* b2 b1))
17.0ms
(* a1 (/ a2 (* b2 b1)))

series85.0ms

Calls
2 calls:
Slowest
50.0ms
(* a1 (/ a2 (* b2 b1)))
35.0ms
(/ a2 (* b2 b1))

simplify2.5s

Calls
37 calls:
Slowest
419.0ms
(* (* (* a1 a1) a1) (/ (* (* a2 a2) a2) (* (* (* b2 b2) b2) (* (* b1 b1) b1))))
386.0ms
(* (* (* a1 a1) a1) (/ (* (* a2 a2) a2) (* (* (* b2 b1) (* b2 b1)) (* b2 b1))))
282.0ms
(+ (log a1) (- (log a2) (+ (log b2) (log b1))))
210.0ms
(* (* (* a1 a1) a1) (* (* (/ a2 (* b2 b1)) (/ a2 (* b2 b1))) (/ a2 (* b2 b1))))
195.0ms
(/ (* (* a2 a2) a2) (* (* (* b2 b1) (* b2 b1)) (* b2 b1)))

prune572.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes644.0ms

Accuracy

53% (5.2b remaining)

Error of 5.2b against oracle of 0.0b and baseline of 11.1b

bsearch10.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.1s10002×body80valid