Details

Time bar (total: 2.4m)

sample52.0ms

Algorithm
intervals
Results
32.0ms324×body80valid

simplify129.0ms

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.4b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

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
14.0ms
(/ (* a1 a2) (* b1 b2))

series37.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
37.0ms
(/ (* a1 a2) (* b1 b2))

simplify3.4s

Counts
25 → 25

prune200.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

6.7b
(/ a1 (/ (* b1 b2) a2))
4.8b
(/ (* 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×pow1 clear-num frac-2neg prod-exp cbrt-unprod insert-posit16 add-log-exp
1×associate-/r/
Counts
2 → 71
Calls
2 calls:
Slowest
16.0ms
(/ (* b1 b2) a2)
15.0ms
(/ a1 (/ (* b1 b2) a2))

series66.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
46.0ms
(/ a1 (/ (* b1 b2) a2))
20.0ms
(/ (* b1 b2) a2)

simplify1.9s

Counts
77 → 77

prune502.0ms

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)

rewrite49.0ms

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×pow1 insert-posit16 add-log-exp
3×prod-exp cbrt-unprod
2×clear-num frac-2neg pow1/3
1×associate-/l/
Counts
4 → 722
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)

series780.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
300.0ms
(cbrt a2)
236.0ms
(cbrt a2)
161.0ms
(/ a1 (/ b1 (* (cbrt a2) (cbrt a2))))
83.0ms
(/ (/ a1 (/ b1 (* (cbrt a2) (cbrt a2)))) (/ b2 (cbrt a2)))

simplify2.8s

Counts
734 → 734

prune9.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

5.0b
(cbrt (/ b2 (cbrt a2)))
5.0b
(cbrt (/ b2 (cbrt a2)))
5.0b
(cbrt (/ b2 (cbrt a2)))
3.4b
(* (/ (/ (cbrt a2) (cbrt (/ b2 (cbrt a2)))) (cbrt (/ b2 (cbrt a2)))) (/ (/ a1 (/ b1 (cbrt a2))) (cbrt (/ b2 (cbrt a2)))))

rewrite6.8s

Algorithm
rewrite-expression-head
Rules
22584×times-frac
16467×cbrt-prod
12754×add-sqr-sqrt
8134×*-un-lft-identity add-cube-cbrt
3880×associate-*l*
1780×associate-*r*
629×unswap-sqr
506×div-inv
58×add-exp-log
52×associate-/r/
30×cbrt-undiv cbrt-div add-cbrt-cube div-exp
12×prod-exp cbrt-unprod
6×pow1
4×insert-posit16 add-log-exp
3×pow1/3
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 6422
Calls
4 calls:
Slowest
6.1s
(* (/ (/ (cbrt a2) (cbrt (/ b2 (cbrt a2)))) (cbrt (/ b2 (cbrt a2)))) (/ (/ a1 (/ b1 (cbrt a2))) (cbrt (/ b2 (cbrt a2)))))
2.0ms
(cbrt (/ b2 (cbrt a2)))
2.0ms
(cbrt (/ b2 (cbrt a2)))
2.0ms
(cbrt (/ b2 (cbrt a2)))

series725.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
240.0ms
(cbrt (/ b2 (cbrt a2)))
232.0ms
(cbrt (/ b2 (cbrt a2)))
208.0ms
(cbrt (/ b2 (cbrt a2)))
45.0ms
(* (/ (/ (cbrt a2) (cbrt (/ b2 (cbrt a2)))) (cbrt (/ b2 (cbrt a2)))) (/ (/ a1 (/ b1 (cbrt a2))) (cbrt (/ b2 (cbrt a2)))))

simplify29.9s

Counts
6434 → 6434

prune1.5m

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes394.0ms

Accuracy

44.2% (4.9b remaining)

Error of 4.9b against oracle of 0.0b and baseline of 8.7b

bsearch12.0ms

end0.0ms

sample841.0ms

Algorithm
intervals
Results
548.0ms10019×body80valid