Details

Time bar (total: 16.8s)

sample52.0ms

Algorithm
intervals
Results
36.0ms319×body80valid

simplify87.0ms

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.4b

localize10.0ms

Local error

Found 1 expressions with local error:

13.4b
(/ (* 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 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
19.0ms
(/ (* a1 a2) (* b1 b2))

series41.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
41.0ms
(/ (* a1 a2) (* b1 b2))

simplify3.9s

Counts
25 → 25

prune276.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 2 expressions with local error:

6.4b
(/ (* b1 b2) a2)
5.8b
(/ a1 (/ (* b1 b2) a2))

rewrite32.0ms

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

series96.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
52.0ms
(/ a1 (/ (* b1 b2) a2))
44.0ms
(/ (* b1 b2) a2)

simplify2.1s

Counts
77 → 77

prune661.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

7.7b
(* (/ (* (cbrt a2) (cbrt a2)) b1) (/ a1 (/ b2 (cbrt a2))))
1.1b
(/ a1 (/ b2 (cbrt a2)))
0.6b
(cbrt a2)
0.6b
(cbrt a2)

rewrite53.0ms

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
41.0ms
(* (/ (* (cbrt a2) (cbrt a2)) b1) (/ a1 (/ b2 (cbrt a2))))
6.0ms
(/ a1 (/ b2 (cbrt a2)))
1.0ms
(cbrt a2)
1.0ms
(cbrt a2)

series722.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
294.0ms
(cbrt a2)
250.0ms
(cbrt a2)
104.0ms
(/ a1 (/ b2 (cbrt a2)))
74.0ms
(* (/ (* (cbrt a2) (cbrt a2)) b1) (/ a1 (/ b2 (cbrt a2))))

simplify1.9s

Counts
260 → 260

prune2.9s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

6.0b
(* a1 (/ (/ a2 b2) b1))
5.4b
(/ (/ a2 b2) b1)

rewrite45.0ms

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×insert-posit16 add-log-exp
1×clear-num frac-2neg pow-prod-down associate-*r/ *-commutative associate-/l/
Counts
2 → 137
Calls
2 calls:
Slowest
26.0ms
(* a1 (/ (/ a2 b2) b1))
15.0ms
(/ (/ a2 b2) b1)

series75.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
46.0ms
(* a1 (/ (/ a2 b2) b1))
29.0ms
(/ (/ a2 b2) b1)

simplify605.0ms

Counts
143 → 143

prune1.3s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes597.0ms

Accuracy

50.2% (5.2b remaining)

Error of 5.2b against oracle of 0.0b and baseline of 10.5b

bsearch9.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
853.0ms9966×body80valid