Details

Time bar (total: 5.5s)

sample25.0ms

Algorithm
intervals
Results
16.0ms309×body80valid

simplify52.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.3b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
3×add-cbrt-cube add-exp-log
1×add-sqr-sqrt expm1-log1p-u pow1 cbrt-undiv clear-num associate-/r* frac-2neg *-un-lft-identity times-frac div-exp add-cube-cbrt insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
Calls
1 calls:
Slowest
10.0ms
(/ (* a1 a2) (* b1 b2))

series20.0ms

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

simplify623.0ms

Calls
7 calls:
Slowest
375.0ms
(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
111.0ms
(- (log (* a1 a2)) (log (* b1 b2)))
50.0ms
(/ (* a1 a2) (* b2 b1))
42.0ms
(/ (* a1 a2) (* b2 b1))
35.0ms
(/ (* a1 a2) (* b2 b1))

prune186.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
4×associate-/r*
3×add-sqr-sqrt *-un-lft-identity add-cube-cbrt div-inv
2×expm1-log1p-u pow1 clear-num frac-2neg add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
1×associate-/r/ associate-/l*
Calls
2 calls:
Slowest
5.0ms
(/ (* b1 b2) a2)
1.0ms
(/ a1 (/ (* b1 b2) a2))

series47.0ms

Calls
2 calls:
Slowest
34.0ms
(/ a1 (/ (* b1 b2) a2))
13.0ms
(/ (* b1 b2) a2)

simplify268.0ms

Calls
10 calls:
Slowest
61.0ms
(/ (* a1 a2) (* b2 b1))
41.0ms
(/ (* a1 a2) (* b2 b1))
39.0ms
(/ (* a1 a2) (* b2 b1))
30.0ms
(sqrt (/ (* b1 b2) a2))
21.0ms
(/ (* b2 b1) a2)

prune388.0ms

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))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
4×associate-*l*
3×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
2×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u 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)
1.0ms
(/ a1 (* b1 b2))

series47.0ms

Calls
2 calls:
Slowest
27.0ms
(* (/ a1 (* b1 b2)) a2)
20.0ms
(/ a1 (* b1 b2))

simplify188.0ms

Calls
9 calls:
Slowest
41.0ms
(/ (* a1 a2) (* b2 b1))
38.0ms
(/ (* a1 a2) (* b2 b1))
33.0ms
(/ (* a1 a2) (* b2 b1))
19.0ms
(/ a1 (* b2 b1))
15.0ms
(/ a1 (* b2 b1))

prune392.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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×expm1-log1p-u associate-*r/ associate-/r/ un-div-inv insert-posit16 log1p-expm1-u 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
8.0ms
(* (* b1 b2) (/ 1 a2))
2.0ms
(/ a1 (* (* b1 b2) (/ 1 a2)))

series50.0ms

Calls
2 calls:
Slowest
33.0ms
(/ a1 (* (* b1 b2) (/ 1 a2)))
18.0ms
(* (* b1 b2) (/ 1 a2))

simplify877.0ms

Calls
14 calls:
Slowest
531.0ms
(* (* (* (* b1 b2) (* b1 b2)) (* b1 b2)) (* (* (/ 1 a2) (/ 1 a2)) (/ 1 a2)))
59.0ms
(+ (log (* b1 b2)) (log (/ 1 a2)))
59.0ms
(/ (* a1 a2) (* b2 b1))
51.0ms
(/ (* a1 a2) (* b2 b1))
51.0ms
(/ (* a1 a2) (* b2 b1))

prune468.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes659.0ms

Accuracy

53.1% (5.1b remaining)

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

bsearch15.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
849.0ms9939×body80valid