Details

Time bar (total: 33.6s)

sample40.0ms

Algorithm
intervals
Results
25.0ms317×body80valid

simplify49.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
49.0ms
(/ (* a1 a2) (* b1 b2))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize10.0ms

Local error

Found 1 expressions with local error:

14.5b
(/ (* a1 a2) (* b1 b2))

rewrite20.0ms

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
19.0ms
(/ (* a1 a2) (* b1 b2))

series57.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
57.0ms
(/ (* a1 a2) (* b1 b2))

simplify4.1s

Counts
29 → 27
Calls
29 calls:
Slowest
691.0ms
(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
600.0ms
(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
598.0ms
(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
496.0ms
(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
268.0ms
(* (* (/ (* a1 a2) (* b1 b2)) (/ (* a1 a2) (* b1 b2))) (/ (* a1 a2) (* b1 b2)))

prune283.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

12.4b
(* (/ 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×expm1-log1p-u frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative insert-posit16 log1p-expm1-u add-log-exp
Counts
1 → 53
Calls
1 calls:
Slowest
14.0ms
(* (/ a1 b1) (/ a2 b2))

series43.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
43.0ms
(* (/ a1 b1) (/ a2 b2))

simplify5.2s

Counts
60 → 56
Calls
60 calls:
Slowest
664.0ms
(* (* (* (/ a1 b1) (/ a1 b1)) (/ a1 b1)) (* (* (/ a2 b2) (/ a2 b2)) (/ a2 b2)))
328.0ms
(* (/ (* (* a1 a1) a1) (* (* b1 b1) b1)) (/ (* (* a2 a2) a2) (* (* b2 b2) b2)))
281.0ms
(* (/ a1 b1) (/ (* (cbrt a2) (cbrt a2)) (* (cbrt b2) (cbrt b2))))
254.0ms
(* (/ a1 b1) (/ 1 (* (cbrt b2) (cbrt b2))))
234.0ms
(* (/ (* (* a1 a1) a1) (* (* b1 b1) b1)) (* (* (/ a2 b2) (/ a2 b2)) (/ a2 b2)))

prune551.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

7.4b
(/ (* a1 (/ a2 b2)) b1)
5.5b
(* a1 (/ a2 b2))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-cbrt-cube add-exp-log
13×times-frac associate-*r*
12×*-un-lft-identity add-cube-cbrt
5×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod
3×associate-/r* associate-*l*
2×expm1-log1p-u associate-*r/ insert-posit16 log1p-expm1-u div-inv add-log-exp unswap-sqr
1×clear-num frac-2neg pow-prod-down *-commutative associate-/l* associate-/l/
Counts
2 → 62
Calls
2 calls:
Slowest
11.0ms
(/ (* a1 (/ a2 b2)) b1)
9.0ms
(* a1 (/ a2 b2))

series71.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
49.0ms
(/ (* a1 (/ a2 b2)) b1)
21.0ms
(* a1 (/ a2 b2))

simplify5.9s

Counts
73 → 68
Calls
73 calls:
Slowest
1.0s
(* (* (/ (* a1 (/ a2 b2)) b1) (/ (* a1 (/ a2 b2)) b1)) (/ (* a1 (/ a2 b2)) b1))
296.0ms
(/ (* (* (* a1 (/ a2 b2)) (* a1 (/ a2 b2))) (* a1 (/ a2 b2))) (* (* b1 b1) b1))
287.0ms
(- (+ (log a1) (- (log a2) (log b2))) (log b1))
263.0ms
(* (* (* a1 (/ a2 b2)) (* a1 (/ a2 b2))) (* a1 (/ a2 b2)))
261.0ms
(/ (* (* (* a1 a1) a1) (* (* (/ a2 b2) (/ a2 b2)) (/ a2 b2))) (* (* b1 b1) b1))

prune653.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

7.8b
(* a1 (/ (/ a2 b2) b1))
5.7b
(/ (/ a2 b2) b1)

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
89×add-sqr-sqrt
80×*-un-lft-identity add-cube-cbrt
43×associate-*r*
16×add-cbrt-cube add-exp-log
13×associate-/l*
9×div-inv
6×cbrt-undiv div-exp
4×pow1
3×associate-/r* associate-*l* prod-exp cbrt-unprod unswap-sqr
2×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
1×clear-num frac-2neg pow-prod-down associate-*r/ *-commutative associate-/l/
Counts
2 → 141
Calls
2 calls:
Slowest
25.0ms
(* a1 (/ (/ a2 b2) b1))
16.0ms
(/ (/ a2 b2) b1)

series66.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
35.0ms
(* a1 (/ (/ a2 b2) b1))
31.0ms
(/ (/ a2 b2) b1)

simplify12.7s

Counts
189 → 147
Calls
189 calls:
Slowest
614.0ms
(/ (/ (* (* a2 a2) a2) (* (* b2 b2) b2)) (* (* b1 b1) b1))
418.0ms
(* a1 (/ (/ (* (cbrt a2) (cbrt a2)) 1) (* (cbrt b1) (cbrt b1))))
379.0ms
(/ (* (* (/ a2 b2) (/ a2 b2)) (/ a2 b2)) (* (* b1 b1) b1))
353.0ms
(/ (/ (* (cbrt a2) (cbrt a2)) (* (cbrt b2) (cbrt b2))) (* (cbrt b1) (cbrt b1)))
347.0ms
(* a1 (/ (/ 1 (* (cbrt b2) (cbrt b2))) (* (cbrt b1) (cbrt b1))))

prune1.5s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes692.0ms

Accuracy

-1.7% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 2.4b

bsearch7.0ms

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.3s9916×body80valid