Details

Time bar (total: 6.1s)

sample49.0ms

Algorithm
intervals
Results
32.0ms316×body80valid

simplify58.0ms

Calls
1 calls:
Slowest
58.0ms
(/ (* a1 a2) (* b1 b2))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.0b

localize20.0ms

Local error

Found 1 expressions with local error:

11.0b
(/ (* a1 a2) (* b1 b2))

rewrite4.0ms

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
3.0ms
(/ (* a1 a2) (* b1 b2))

series24.0ms

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

simplify669.0ms

Calls
7 calls:
Slowest
410.0ms
(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
99.0ms
(- (log (* a1 a2)) (log (* b1 b2)))
60.0ms
(/ (* a1 a2) (* b2 b1))
48.0ms
(/ (* a1 a2) (* b2 b1))
41.0ms
(/ (* a1 a2) (* b2 b1))

prune259.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

10.8b
(/ (* b1 b2) (* a1 a2))
0.4b
(/ 1 (/ (* b1 b2) (* a1 a2)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log
6×associate-/r*
4×add-cbrt-cube
3×add-sqr-sqrt pow1 *-un-lft-identity add-cube-cbrt div-inv
2×rec-exp clear-num frac-2neg times-frac div-exp insert-posit16 add-log-exp
1×cbrt-undiv associate-/r/ pow-flip associate-/l* inv-pow
Calls
2 calls:
Slowest
6.0ms
(/ (* b1 b2) (* a1 a2))
3.0ms
(/ 1 (/ (* b1 b2) (* a1 a2)))

series59.0ms

Calls
2 calls:
Slowest
32.0ms
(/ (* b1 b2) (* a1 a2))
27.0ms
(/ 1 (/ (* b1 b2) (* a1 a2)))

simplify1.3s

Calls
17 calls:
Slowest
784.0ms
(/ (* (* (* b1 b2) (* b1 b2)) (* b1 b2)) (* (* (* a1 a2) (* a1 a2)) (* a1 a2)))
91.0ms
(cbrt (/ (* b1 b2) (* a1 a2)))
69.0ms
(- (log (* b1 b2)) (log (* a1 a2)))
57.0ms
(/ (* a1 a2) (* b2 b1))
57.0ms
(/ (* b2 b1) (* a1 a2))

prune418.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

6.6b
(/ a1 (/ (* b1 b2) a2))
5.6b
(/ (* 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))

series42.0ms

Calls
2 calls:
Slowest
24.0ms
(/ a1 (/ (* b1 b2) a2))
18.0ms
(/ (* b1 b2) a2)

simplify249.0ms

Calls
10 calls:
Slowest
45.0ms
(/ (* a1 a2) (* b2 b1))
42.0ms
(/ (* a1 a2) (* b2 b1))
35.0ms
(cbrt (/ (* b1 b2) a2))
32.0ms
(/ (* a1 a2) (* b2 b1))
30.0ms
(sqrt (/ (* b1 b2) a2))

prune294.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

6.6b
(/ a1 (/ b1 (/ a2 b2)))
5.8b
(/ b1 (/ a2 b2))

rewrite1.0ms

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

series39.0ms

Calls
2 calls:
Slowest
20.0ms
(/ b1 (/ a2 b2))
19.0ms
(/ a1 (/ b1 (/ a2 b2)))

simplify306.0ms

Calls
15 calls:
Slowest
60.0ms
(/ (* a1 a2) (* b2 b1))
52.0ms
(/ (* a1 a2) (* b2 b1))
36.0ms
(/ (* a1 a2) (* b2 b1))
24.0ms
(/ 1 (/ a2 b2))
23.0ms
(sqrt (/ b1 (/ a2 b2)))

prune284.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes794.0ms

Accuracy

55.4% (4.9b remaining)

Error of 4.9b against oracle of 0.0b and baseline of 11.0b

bsearch11.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
803.0ms9996×body80valid