Details

Time bar (total: 1.9m)

sample34.0ms

Algorithm
intervals
Results
21.0ms324×body80valid

simplify127.0ms

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.4b

localize10.0ms

Local error

Found 1 expressions with local error:

10.4b
(/ (* a1 a2) (* b1 b2))

rewrite18.0ms

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
17.0ms
(/ (* a1 a2) (* b1 b2))

series51.0ms

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

simplify4.8s

Counts
27 → 27

prune260.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 2 expressions with local error:

6.7b
(/ a1 (/ (* b1 b2) a2))
4.8b
(/ (* b1 b2) a2)

rewrite17.0ms

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
9.0ms
(/ (* b1 b2) a2)
7.0ms
(/ a1 (/ (* b1 b2) a2))

series84.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
55.0ms
(/ a1 (/ (* b1 b2) a2))
29.0ms
(/ (* b1 b2) a2)

simplify2.1s

Counts
81 → 81

prune768.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

6.7b
(/ (/ a1 (/ b1 (* (cbrt a2) (cbrt a2)))) (/ b2 (cbrt a2)))
2.1b
(/ a1 (/ b1 (* (cbrt a2) (cbrt a2))))
0.6b
(cbrt a2)
0.6b
(cbrt a2)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
1781×times-frac
695×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
249×cbrt-prod
125×div-inv
45×add-exp-log
35×add-cbrt-cube
29×associate-/r* associate-/l*
27×cbrt-undiv div-exp
25×associate-/r/
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×prod-exp cbrt-unprod
2×clear-num frac-2neg pow1/3
1×associate-/l/
Counts
4 → 730
Calls
4 calls:
Slowest
18.0ms
(/ (/ a1 (/ b1 (* (cbrt a2) (cbrt a2)))) (/ b2 (cbrt a2)))
10.0ms
(/ a1 (/ b1 (* (cbrt a2) (cbrt a2))))
1.0ms
(cbrt a2)
1.0ms
(cbrt a2)

series788.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
272.0ms
(cbrt a2)
261.0ms
(cbrt a2)
162.0ms
(/ a1 (/ b1 (* (cbrt a2) (cbrt a2))))
92.0ms
(/ (/ a1 (/ b1 (* (cbrt a2) (cbrt a2)))) (/ b2 (cbrt a2)))

simplify2.6s

Counts
742 → 742

prune9.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

4.2b
(* (/ (/ (cbrt a1) (/ b1 (cbrt a1))) (* (cbrt b2) (cbrt b2))) (/ (/ (cbrt a1) (/ 1 (* (cbrt a2) (cbrt a2)))) (/ (cbrt b2) (cbrt a2))))
3.2b
(/ (/ (cbrt a1) (/ b1 (cbrt a1))) (* (cbrt b2) (cbrt b2)))
0.6b
(cbrt a2)
0.6b
(cbrt a2)

rewrite849.0ms

Algorithm
rewrite-expression-head
Rules
8482×times-frac
4232×add-sqr-sqrt
3422×cbrt-prod
2712×*-un-lft-identity
2632×add-cube-cbrt
1885×associate-*r*
854×add-exp-log
538×div-exp
351×div-inv
288×unswap-sqr
274×cbrt-undiv
215×prod-exp
208×add-cbrt-cube
141×associate-*l*
137×associate-/l*
107×cbrt-unprod
44×associate-/r/
28×rec-exp 1-exp
6×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×pow1/3
1×frac-times clear-num associate-/r* frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
4 → 2840
Calls
4 calls:
Slowest
633.0ms
(* (/ (/ (cbrt a1) (/ b1 (cbrt a1))) (* (cbrt b2) (cbrt b2))) (/ (/ (cbrt a1) (/ 1 (* (cbrt a2) (cbrt a2)))) (/ (cbrt b2) (cbrt a2))))
21.0ms
(/ (/ (cbrt a1) (/ b1 (cbrt a1))) (* (cbrt b2) (cbrt b2)))
1.0ms
(cbrt a2)
1.0ms
(cbrt a2)

series807.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
313.0ms
(cbrt a2)
229.0ms
(cbrt a2)
166.0ms
(/ (/ (cbrt a1) (/ b1 (cbrt a1))) (* (cbrt b2) (cbrt b2)))
99.0ms
(* (/ (/ (cbrt a1) (/ b1 (cbrt a1))) (* (cbrt b2) (cbrt b2))) (/ (/ (cbrt a1) (/ 1 (* (cbrt a2) (cbrt a2)))) (/ (cbrt b2) (cbrt a2))))

simplify53.0s

Counts
2852 → 2852

prune39.7s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes425.0ms

Accuracy

31.1% (5.3b remaining)

Error of 5.3b against oracle of 0.0b and baseline of 7.7b

bsearch9.0ms

end0.0ms

sample835.0ms

Algorithm
intervals
Results
605.0ms10019×body80valid