Details

Time bar (total: 35.0s)

sample29.0ms

Algorithm
intervals
Results
18.0ms334×body80valid

simplify38.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
38.0ms
(/ (* a1 a2) (* b1 b2))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.8b

localize17.0ms

Local error

Found 1 expressions with local error:

11.8b
(/ (* a1 a2) (* b1 b2))

rewrite11.0ms

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

series47.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
46.0ms
(/ (* a1 a2) (* b1 b2))

simplify3.4s

Counts
13 → 25
Calls
13 calls:
Slowest
915.0ms
(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
765.0ms
(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
664.0ms
(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
483.0ms
(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
153.0ms
(- (log (* a1 a2)) (+ (log b1) (log b2)))

prune229.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

6.4b
(/ (* b1 b2) a2)
5.5b
(/ a1 (/ (* b1 b2) a2))

rewrite30.0ms

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
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
4×associate-/l*
2×pow1 clear-num frac-2neg prod-exp cbrt-unprod insert-posit16 add-log-exp
1×associate-/r/
Counts
2 → 71
Calls
2 calls:
Slowest
17.0ms
(/ (* b1 b2) a2)
12.0ms
(/ a1 (/ (* b1 b2) a2))

series70.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
48.0ms
(/ a1 (/ (* b1 b2) a2))
22.0ms
(/ (* b1 b2) a2)

simplify3.9s

Counts
75 → 77
Calls
75 calls:
Slowest
357.0ms
(/ (* (* a1 a1) a1) (/ (* (* (* b1 b2) (* b1 b2)) (* b1 b2)) (* (* a2 a2) a2)))
298.0ms
(/ (* (* a1 a1) a1) (/ (* (* (* b1 b1) b1) (* (* b2 b2) b2)) (* (* a2 a2) a2)))
291.0ms
(- (log a1) (- (+ (log b1) (log b2)) (log a2)))
249.0ms
(- (log a1) (- (log (* b1 b2)) (log a2)))
168.0ms
(- (log a1) (log (/ (* b1 b2) a2)))

prune706.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

6.4b
(* (/ (* (cbrt a2) (cbrt a2)) b1) (/ a1 (/ b2 (cbrt a2))))
1.7b
(/ a1 (/ b2 (cbrt a2)))
0.7b
(cbrt a2)
0.7b
(cbrt a2)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
275×times-frac
171×add-sqr-sqrt
145×*-un-lft-identity add-cube-cbrt
71×cbrt-prod associate-*r*
45×add-exp-log
35×add-cbrt-cube
22×associate-/r*
18×cbrt-undiv div-exp
12×prod-exp cbrt-unprod
10×div-inv
8×unswap-sqr
7×associate-*l*
6×pow1
4×insert-posit16 add-log-exp
3×associate-/l*
2×pow1/3 associate-/r/
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 248
Calls
4 calls:
Slowest
26.0ms
(* (/ (* (cbrt a2) (cbrt a2)) b1) (/ a1 (/ b2 (cbrt a2))))
6.0ms
(/ a1 (/ b2 (cbrt a2)))
1.0ms
(cbrt a2)
1.0ms
(cbrt a2)

series708.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
269.0ms
(cbrt a2)
256.0ms
(cbrt a2)
112.0ms
(/ a1 (/ b2 (cbrt a2)))
71.0ms
(* (/ (* (cbrt a2) (cbrt a2)) b1) (/ a1 (/ b2 (cbrt a2))))

simplify17.6s

Counts
295 → 260
Calls
295 calls:
Slowest
566.0ms
(+ (- (log (* (cbrt a2) (cbrt a2))) (log b1)) (log (/ a1 (/ b2 (cbrt a2)))))
489.0ms
(* (/ (* (* (* (cbrt a2) (cbrt a2)) (* (cbrt a2) (cbrt a2))) (* (cbrt a2) (cbrt a2))) (* (* b1 b1) b1)) (/ (* (* a1 a1) a1) (/ (* (* b2 b2) b2) a2)))
486.0ms
(* (/ (* (* (* (cbrt a2) (cbrt a2)) (* (cbrt a2) (cbrt a2))) (* (cbrt a2) (cbrt a2))) (* (* b1 b1) b1)) (/ (* (* a1 a1) a1) (* (* (/ b2 (cbrt a2)) (/ b2 (cbrt a2))) (/ b2 (cbrt a2)))))
474.0ms
(/ (* (cbrt a1) (cbrt a1)) (/ (* (cbrt b2) (cbrt b2)) (* (cbrt (cbrt a2)) (cbrt (cbrt a2)))))
426.0ms
(/ (* (* a1 a1) a1) (* (* (/ b2 (cbrt a2)) (/ b2 (cbrt a2))) (/ b2 (cbrt a2))))

prune2.9s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

5.5b
(* (/ a1 b2) a2)
4.4b
(/ (* (/ a1 b2) a2) b1)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-cbrt-cube add-exp-log
13×times-frac associate-*l*
12×*-un-lft-identity add-cube-cbrt
5×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod
3×associate-/r* associate-*r*
2×associate-*l/ insert-posit16 div-inv add-log-exp unswap-sqr
1×clear-num frac-2neg pow-prod-down *-commutative associate-/l* associate-/l/
Counts
2 → 58
Calls
2 calls:
Slowest
14.0ms
(* (/ a1 b2) a2)
13.0ms
(/ (* (/ a1 b2) a2) b1)

series57.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
33.0ms
(/ (* (/ a1 b2) a2) b1)
24.0ms
(* (/ a1 b2) a2)

simplify2.4s

Counts
45 → 64
Calls
45 calls:
Slowest
337.0ms
(/ (* (/ (* (* a1 a1) a1) (* (* b2 b2) b2)) (* (* a2 a2) a2)) (* (* b1 b1) b1))
304.0ms
(- (+ (- (log a1) (log b2)) (log a2)) (log b1))
239.0ms
(* (* (* (/ a1 b2) (/ a1 b2)) (/ a1 b2)) (* (* a2 a2) a2))
224.0ms
(/ (* (* (* (/ a1 b2) a2) (* (/ a1 b2) a2)) (* (/ a1 b2) a2)) (* (* b1 b1) b1))
216.0ms
(/ (* (* (* (/ a1 b2) (/ a1 b2)) (/ a1 b2)) (* (* a2 a2) a2)) (* (* b1 b1) b1))

prune601.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes514.0ms

Accuracy

73.7% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 10.0b

bsearch18.0ms

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.3s10017×body80valid