Details

Time bar (total: 36.0s)

sample45.0ms

Algorithm
intervals
Results
30.0ms319×body80valid

simplify51.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.2b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

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 expm1-log1p-u pow1 clear-num associate-/r* frac-2neg *-un-lft-identity times-frac add-cube-cbrt insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 24
Calls
1 calls:
Slowest
23.0ms
(/ (* a1 a2) (* b1 b2))

series50.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
50.0ms
(/ (* a1 a2) (* b1 b2))

simplify3.4s

Counts
13 → 27
Calls
13 calls:
Slowest
925.0ms
(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
731.0ms
(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
640.0ms
(/ (* (* (* 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)))
122.0ms
(- (+ (log a1) (log a2)) (+ (log b1) (log b2)))

prune313.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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×expm1-log1p-u pow1 clear-num frac-2neg prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
1×associate-/r/
Counts
2 → 75
Calls
2 calls:
Slowest
18.0ms
(/ (* b1 b2) a2)
12.0ms
(/ a1 (/ (* b1 b2) a2))

series86.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
64.0ms
(/ a1 (/ (* b1 b2) a2))
22.0ms
(/ (* b1 b2) a2)

simplify3.6s

Counts
75 → 81
Calls
75 calls:
Slowest
383.0ms
(/ (* (* a1 a1) a1) (/ (* (* (* b1 b2) (* b1 b2)) (* b1 b2)) (* (* a2 a2) a2)))
335.0ms
(/ (* (* a1 a1) a1) (/ (* (* (* b1 b1) b1) (* (* b2 b2) b2)) (* (* a2 a2) a2)))
246.0ms
(- (log a1) (- (+ (log b1) (log b2)) (log a2)))
182.0ms
(- (log a1) (- (log (* b1 b2)) (log a2)))
157.0ms
(/ (* (* (* b1 b2) (* b1 b2)) (* b1 b2)) (* (* a2 a2) a2))

prune743.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u div-inv add-log-exp
1×clear-num associate-/r* frac-2neg pow-prod-down associate-*l/ *-commutative unswap-sqr
Counts
2 → 54
Calls
2 calls:
Slowest
37.0ms
(* (/ a1 (* b1 b2)) a2)
7.0ms
(/ a1 (* b1 b2))

series77.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
41.0ms
(* (/ a1 (* b1 b2)) a2)
36.0ms
(/ a1 (* b1 b2))

simplify2.4s

Counts
35 → 60
Calls
35 calls:
Slowest
438.0ms
(* (/ (* (* a1 a1) a1) (* (* (* b1 b2) (* b1 b2)) (* b1 b2))) (* (* a2 a2) a2))
329.0ms
(* (/ (* (* a1 a1) a1) (* (* (* b1 b1) b1) (* (* b2 b2) b2))) (* (* a2 a2) a2))
230.0ms
(+ (- (log a1) (+ (log b1) (log b2))) (log a2))
215.0ms
(/ (* (* a1 a1) a1) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
213.0ms
(+ (- (log a1) (log (* b1 b2))) (log a2))

prune633.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize41.0ms

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)

rewrite54.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u 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 → 256
Calls
4 calls:
Slowest
34.0ms
(* (/ (* (cbrt a2) (cbrt a2)) b1) (/ a1 (/ b2 (cbrt a2))))
13.0ms
(/ a1 (/ b2 (cbrt a2)))
1.0ms
(cbrt a2)
1.0ms
(cbrt a2)

series793.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
298.0ms
(cbrt a2)
261.0ms
(cbrt a2)
144.0ms
(/ a1 (/ b2 (cbrt a2)))
89.0ms
(* (/ (* (cbrt a2) (cbrt a2)) b1) (/ a1 (/ b2 (cbrt a2))))

simplify18.6s

Counts
295 → 268
Calls
295 calls:
Slowest
733.0ms
(* (/ (cbrt a2) (sqrt b1)) (/ (sqrt a1) (/ (sqrt b2) (cbrt (sqrt a2)))))
588.0ms
(* (/ (* (* (* (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)))))
526.0ms
(+ (- (log (* (cbrt a2) (cbrt a2))) (log b1)) (log (/ a1 (/ b2 (cbrt a2)))))
518.0ms
(* (/ (* a1 (cbrt -1)) b2) (pow (* a2 -1) 1/3))
501.0ms
(/ (* (cbrt a1) (cbrt a1)) (/ (* (cbrt b2) (cbrt b2)) (* (cbrt (cbrt a2)) (cbrt (cbrt a2)))))

prune3.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes620.0ms

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
859.0ms9967×body80valid