Details

Time bar (total: 35.0s)

sample36.0ms

Algorithm
intervals
Results
24.0ms319×body80valid

simplify50.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
50.0ms
(/ (* a1 a2) (* b1 b2))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.2b

localize19.0ms

Local error

Found 1 expressions with local error:

9.2b
(/ (* a1 a2) (* b1 b2))

rewrite23.0ms

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
23.0ms
(/ (* a1 a2) (* b1 b2))

series48.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
48.0ms
(/ (* a1 a2) (* b1 b2))

simplify3.5s

Counts
13 → 25
Calls
13 calls:
Slowest
845.0ms
(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
758.0ms
(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
638.0ms
(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
540.0ms
(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
144.0ms
(- (+ (log a1) (log a2)) (log (* b1 b2)))

prune285.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

6.4b
(/ a1 (/ (* b1 b2) a2))
3.9b
(/ (* b1 b2) a2)

rewrite34.0ms

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)
15.0ms
(/ a1 (/ (* b1 b2) a2))

series89.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
54.0ms
(/ a1 (/ (* b1 b2) a2))
35.0ms
(/ (* b1 b2) a2)

simplify3.5s

Counts
75 → 77
Calls
75 calls:
Slowest
335.0ms
(- (log a1) (- (+ (log b1) (log b2)) (log a2)))
318.0ms
(/ (* (* a1 a1) a1) (/ (* (* (* b1 b2) (* b1 b2)) (* b1 b2)) (* (* a2 a2) a2)))
270.0ms
(/ (* (* a1 a1) a1) (/ (* (* (* b1 b1) b1) (* (* b2 b2) b2)) (* (* a2 a2) a2)))
198.0ms
(- (log a1) (- (log (* b1 b2)) (log a2)))
150.0ms
(- (log a1) (log (/ (* b1 b2) a2)))

prune760.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

4.6b
(/ a1 (* b1 b2))
4.3b
(* (/ a1 (* b1 b2)) a2)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube add-exp-log
9×add-sqr-sqrt
7×*-un-lft-identity associate-*l* add-cube-cbrt
6×times-frac
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp
3×associate-*r* associate-/l*
2×insert-posit16 div-inv add-log-exp
1×clear-num associate-/r* frac-2neg pow-prod-down associate-*l/ *-commutative unswap-sqr
Counts
2 → 50
Calls
2 calls:
Slowest
33.0ms
(* (/ a1 (* b1 b2)) a2)
6.0ms
(/ a1 (* b1 b2))

series64.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
37.0ms
(* (/ a1 (* b1 b2)) a2)
27.0ms
(/ a1 (* b1 b2))

simplify2.3s

Counts
35 → 56
Calls
35 calls:
Slowest
345.0ms
(* (/ (* (* a1 a1) a1) (* (* (* b1 b2) (* b1 b2)) (* b1 b2))) (* (* a2 a2) a2))
288.0ms
(* (/ (* (* a1 a1) a1) (* (* (* b1 b1) b1) (* (* b2 b2) b2))) (* (* a2 a2) a2))
233.0ms
(+ (- (log a1) (+ (log b1) (log b2))) (log a2))
212.0ms
(+ (- (log a1) (log (* b1 b2))) (log a2))
197.0ms
(+ (log (/ a1 (* b1 b2))) (log a2))

prune503.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

7.1b
(* (/ (* (cbrt a2) (cbrt a2)) b1) (/ a1 (/ b2 (cbrt a2))))
1.9b
(/ a1 (/ b2 (cbrt a2)))
0.6b
(cbrt a2)
0.6b
(cbrt a2)

rewrite77.0ms

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
54.0ms
(* (/ (* (cbrt a2) (cbrt a2)) b1) (/ a1 (/ b2 (cbrt a2))))
12.0ms
(/ a1 (/ b2 (cbrt a2)))
1.0ms
(cbrt a2)
1.0ms
(cbrt a2)

series724.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
282.0ms
(cbrt a2)
272.0ms
(cbrt a2)
109.0ms
(/ a1 (/ b2 (cbrt a2)))
62.0ms
(* (/ (* (cbrt a2) (cbrt a2)) b1) (/ a1 (/ b2 (cbrt a2))))

simplify17.6s

Counts
295 → 260
Calls
295 calls:
Slowest
573.0ms
(* (/ (* (* (* (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)))))
513.0ms
(/ (* (cbrt a1) (cbrt a1)) (/ (* (cbrt b2) (cbrt b2)) (* (cbrt (cbrt a2)) (cbrt (cbrt a2)))))
479.0ms
(* (/ (* (* (* (cbrt a2) (cbrt a2)) (* (cbrt a2) (cbrt a2))) (* (cbrt a2) (cbrt a2))) (* (* b1 b1) b1)) (* (* (/ a1 (/ b2 (cbrt a2))) (/ a1 (/ b2 (cbrt a2)))) (/ a1 (/ b2 (cbrt a2)))))
440.0ms
(+ (log (/ (* (cbrt a2) (cbrt a2)) b1)) (log (/ a1 (/ b2 (cbrt a2)))))
427.0ms
(/ (* (* a1 a1) a1) (* (* (/ b2 (cbrt a2)) (/ b2 (cbrt a2))) (/ b2 (cbrt a2))))

prune3.5s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes650.0ms

Accuracy

50.9% (5.4b remaining)

Error of 5.4b against oracle of 0.0b and baseline of 11.0b

bsearch7.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
831.0ms9967×body80valid