Details

Time bar (total: 41.6s)

sample32.0ms

Algorithm
intervals
Results
21.0ms323×body80valid

simplify51.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
51.0ms
(/ (* a1 a2) (* b1 b2))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize17.0ms

Local error

Found 1 expressions with local error:

13.6b
(/ (* a1 a2) (* b1 b2))

rewrite22.0ms

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

series58.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
58.0ms
(/ (* a1 a2) (* b1 b2))

simplify3.3s

Counts
13 → 25
Calls
13 calls:
Slowest
748.0ms
(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
736.0ms
(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
684.0ms
(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
636.0ms
(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
128.0ms
(- (+ (log a1) (log a2)) (+ (log b1) (log b2)))

prune234.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
22×times-frac
15×*-un-lft-identity add-cube-cbrt
13×add-cbrt-cube associate-*r* associate-*l* add-exp-log
4×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
3×pow1
2×div-inv
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative insert-posit16 add-log-exp
Counts
1 → 51
Calls
1 calls:
Slowest
15.0ms
(* (/ a1 b1) (/ a2 b2))

series40.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
40.0ms
(* (/ a1 b1) (/ a2 b2))

simplify2.6s

Counts
47 → 54
Calls
47 calls:
Slowest
717.0ms
(* (* (* (/ a1 b1) (/ a1 b1)) (/ a1 b1)) (* (* (/ a2 b2) (/ a2 b2)) (/ a2 b2)))
309.0ms
(* (/ (* (* a1 a1) a1) (* (* b1 b1) b1)) (/ (* (* a2 a2) a2) (* (* b2 b2) b2)))
190.0ms
(+ (- (log a1) (log b1)) (- (log a2) (log b2)))
175.0ms
(* (/ (* (* a1 a1) a1) (* (* b1 b1) b1)) (* (* (/ a2 b2) (/ a2 b2)) (/ a2 b2)))
166.0ms
(* (* (* (/ a1 b1) (/ a1 b1)) (/ a1 b1)) (/ (* (* a2 a2) a2) (* (* b2 b2) b2)))

prune556.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

4.4b
(* (* (/ a1 b1) (/ (* (cbrt a2) (cbrt a2)) 1)) (/ (cbrt a2) b2))
2.2b
(* (/ a1 b1) (/ (* (cbrt a2) (cbrt a2)) 1))
0.6b
(cbrt a2)
0.6b
(cbrt a2)

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
138×add-exp-log
71×add-cbrt-cube
64×prod-exp
50×div-exp
41×add-sqr-sqrt
38×cbrt-unprod
37×times-frac
30×*-un-lft-identity
29×associate-*r*
28×cbrt-undiv add-cube-cbrt
15×cbrt-prod
14×associate-*l*
12×1-exp
11×pow1
6×frac-times associate-*l/ unswap-sqr
4×pow-prod-down associate-*r/ insert-posit16 add-log-exp
3×div-inv
2×pow1/3 *-commutative
Counts
4 → 156
Calls
4 calls:
Slowest
100.0ms
(* (* (/ a1 b1) (/ (* (cbrt a2) (cbrt a2)) 1)) (/ (cbrt a2) b2))
27.0ms
(* (/ a1 b1) (/ (* (cbrt a2) (cbrt a2)) 1))
1.0ms
(cbrt a2)
1.0ms
(cbrt a2)

series782.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
274.0ms
(cbrt a2)
267.0ms
(cbrt a2)
151.0ms
(* (/ a1 b1) (/ (* (cbrt a2) (cbrt a2)) 1))
90.0ms
(* (* (/ a1 b1) (/ (* (cbrt a2) (cbrt a2)) 1)) (/ (cbrt a2) b2))

simplify21.3s

Counts
138 → 168
Calls
138 calls:
Slowest
956.0ms
(+ (+ (- (log a1) (log b1)) (- (log (* (cbrt a2) (cbrt a2))) 0)) (- (log (cbrt a2)) (log b2)))
890.0ms
(* (* (* (/ a1 b1) (/ a1 b1)) (/ a1 b1)) (/ (* (* (* (cbrt a2) (cbrt a2)) (* (cbrt a2) (cbrt a2))) (* (cbrt a2) (cbrt a2))) (* (* 1 1) 1)))
627.0ms
(* (* (/ (* (* a1 a1) a1) (* (* b1 b1) b1)) (* (* (/ (* (cbrt a2) (cbrt a2)) 1) (/ (* (cbrt a2) (cbrt a2)) 1)) (/ (* (cbrt a2) (cbrt a2)) 1))) (* (* (/ (cbrt a2) b2) (/ (cbrt a2) b2)) (/ (cbrt a2) b2)))
563.0ms
(+ (+ (- (log a1) (log b1)) (- (+ (log (cbrt a2)) (log (cbrt a2))) 0)) (- (log (cbrt a2)) (log b2)))
540.0ms
(* (/ (* (* a1 a1) a1) (* (* b1 b1) b1)) (/ (* a2 a2) (* (* 1 1) 1)))

prune2.0s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

5.4b
(* (* (/ a1 b1) a2) (/ 1 b2))
3.2b
(* (/ a1 b1) a2)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
28×add-cbrt-cube
22×add-sqr-sqrt prod-exp
19×times-frac
17×*-un-lft-identity add-cube-cbrt
16×associate-*r*
14×associate-*l*
12×cbrt-unprod
11×div-exp
9×pow1
6×cbrt-undiv
4×pow-prod-down associate-*l/
3×rec-exp 1-exp
2×*-commutative insert-posit16 div-inv add-log-exp unswap-sqr
1×frac-times associate-*r/ un-div-inv
Counts
2 → 80
Calls
2 calls:
Slowest
28.0ms
(* (* (/ a1 b1) a2) (/ 1 b2))
9.0ms
(* (/ a1 b1) a2)

series84.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
48.0ms
(* (* (/ a1 b1) a2) (/ 1 b2))
36.0ms
(* (/ a1 b1) a2)

simplify7.5s

Counts
66 → 86
Calls
66 calls:
Slowest
504.0ms
(+ (log (* (/ a1 b1) a2)) (- (log 1) (log b2)))
432.0ms
(+ (log (* (/ a1 b1) a2)) (log (/ 1 b2)))
421.0ms
(+ (+ (- (log a1) (log b1)) (log a2)) (- 0 (log b2)))
400.0ms
(+ (+ (log (/ a1 b1)) (log a2)) (log (/ 1 b2)))
390.0ms
(* (* (/ (* (* a1 a1) a1) (* (* b1 b1) b1)) (* (* a2 a2) a2)) (/ (* (* 1 1) 1) (* (* b2 b2) b2)))

prune811.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes652.0ms

Accuracy

51.3% (5.0b remaining)

Error of 5.0b against oracle of 0.0b and baseline of 10.3b

bsearch11.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
901.0ms9931×body80valid