Details

Time bar (total: 5.4s)

sample43.0ms

Algorithm
intervals
Results
28.0ms309×body80valid

simplify72.0ms

Calls
1 calls:
Slowest
72.0ms
(/ (* a1 a2) (* b1 b2))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.3b

localize18.0ms

Local error

Found 1 expressions with local error:

9.3b
(/ (* a1 a2) (* b1 b2))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
3×add-cbrt-cube add-exp-log
1×add-sqr-sqrt pow1 cbrt-undiv clear-num associate-/r* frac-2neg *-un-lft-identity times-frac div-exp add-cube-cbrt insert-posit16 div-inv associate-/l* add-log-exp
Calls
1 calls:
Slowest
6.0ms
(/ (* a1 a2) (* b1 b2))

series33.0ms

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

simplify703.0ms

Calls
7 calls:
Slowest
416.0ms
(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
135.0ms
(- (log (* a1 a2)) (log (* b1 b2)))
60.0ms
(/ (* a1 a2) (* b2 b1))
53.0ms
(/ (* a1 a2) (* b2 b1))
34.0ms
(/ (* a1 a2) (* b2 b1))

prune166.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

6.2b
(/ a1 (/ (* b1 b2) a2))
3.8b
(/ (* b1 b2) a2)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
4×associate-/r*
3×add-sqr-sqrt *-un-lft-identity add-cube-cbrt div-inv
2×pow1 clear-num frac-2neg add-cbrt-cube add-exp-log insert-posit16 add-log-exp
1×associate-/r/ associate-/l*
Calls
2 calls:
Slowest
2.0ms
(/ (* b1 b2) a2)
0.0ms
(/ a1 (/ (* b1 b2) a2))

series62.0ms

Calls
2 calls:
Slowest
43.0ms
(/ a1 (/ (* b1 b2) a2))
20.0ms
(/ (* b1 b2) a2)

simplify249.0ms

Calls
10 calls:
Slowest
55.0ms
(/ (* a1 a2) (* b2 b1))
46.0ms
(/ (* a1 a2) (* b2 b1))
34.0ms
(/ (* a1 a2) (* b2 b1))
30.0ms
(cbrt (/ (* b1 b2) a2))
22.0ms
(/ (* b1 b2) a2)

prune325.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

5.0b
(* (/ a1 (* b1 b2)) a2)
4.9b
(/ a1 (* b1 b2))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
4×associate-*l*
3×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
2×pow1 add-cbrt-cube add-exp-log insert-posit16 div-inv add-log-exp
1×clear-num associate-/r* frac-2neg associate-*l/ *-commutative
Calls
2 calls:
Slowest
3.0ms
(* (/ a1 (* b1 b2)) a2)
0.0ms
(/ a1 (* b1 b2))

series44.0ms

Calls
2 calls:
Slowest
23.0ms
(* (/ a1 (* b1 b2)) a2)
21.0ms
(/ a1 (* b1 b2))

simplify221.0ms

Calls
9 calls:
Slowest
42.0ms
(/ (* a1 a2) (* b2 b1))
41.0ms
(/ (* a1 a2) (* b2 b1))
32.0ms
(/ (* a1 a2) (* b2 b1))
27.0ms
(* (cbrt (/ a1 (* b1 b2))) (cbrt (/ a1 (* b1 b2))))
21.0ms
(/ a1 (* b2 b1))

prune304.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

6.2b
(/ a1 (* (* b1 b2) (/ 1 a2)))
3.9b
(* (* b1 b2) (/ 1 a2))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-cbrt-cube associate-*r* add-exp-log
3×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
2×associate-*r/ associate-/r/ un-div-inv insert-posit16 div-inv add-log-exp
1×clear-num associate-/r* frac-2neg associate-*l* pow-prod-down prod-exp *-commutative cbrt-unprod
Calls
2 calls:
Slowest
4.0ms
(* (* b1 b2) (/ 1 a2))
1.0ms
(/ a1 (* (* b1 b2) (/ 1 a2)))

series54.0ms

Calls
2 calls:
Slowest
34.0ms
(/ a1 (* (* b1 b2) (/ 1 a2)))
20.0ms
(* (* b1 b2) (/ 1 a2))

simplify936.0ms

Calls
14 calls:
Slowest
593.0ms
(* (* (* (* b1 b2) (* b1 b2)) (* b1 b2)) (* (* (/ 1 a2) (/ 1 a2)) (/ 1 a2)))
67.0ms
(+ (log (* b1 b2)) (log (/ 1 a2)))
49.0ms
(/ (* a1 a2) (* b2 b1))
44.0ms
(* (* b1 b2) (/ 1 a2))
41.0ms
(/ (* a1 a2) (* b2 b1))

prune427.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes694.0ms

Accuracy

53.1% (5.1b remaining)

Error of 5.1b against oracle of 0.0b and baseline of 10.9b

bsearch9.0ms

end0.0ms

sample973.0ms

Algorithm
intervals
Results
762.0ms9939×body80valid