Details

Time bar (total: 16.5s)

sample48.0ms

Algorithm
intervals
Results
30.0ms311×body80valid

simplify162.0ms

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.6b

localize13.0ms

Local error

Found 1 expressions with local error:

10.6b
(/ (* 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 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
13.0ms
(/ (* a1 a2) (* b1 b2))

series45.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
45.0ms
(/ (* a1 a2) (* b1 b2))

simplify4.9s

Counts
27 → 27

prune267.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

9.3b
(* (/ a1 b1) (/ a2 b2))

rewrite13.0ms

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
12.0ms
(* (/ a1 b1) (/ a2 b2))

series55.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
54.0ms
(* (/ a1 b1) (/ a2 b2))

simplify1.7s

Counts
56 → 56

prune532.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

5.3b
(* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2)))
3.3b
(/ (/ a1 b1) (* (cbrt b2) (cbrt b2)))
0.6b
(cbrt b2)
0.6b
(cbrt b2)

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
86×times-frac
68×add-sqr-sqrt
57×add-exp-log
41×*-un-lft-identity add-cube-cbrt
40×add-cbrt-cube
23×cbrt-undiv div-exp
22×associate-*r*
18×cbrt-prod
17×associate-*l*
16×prod-exp cbrt-unprod
13×associate-/l*
9×unswap-sqr
6×pow1 div-inv
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 → 160
Calls
4 calls:
Slowest
66.0ms
(* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2)))
20.0ms
(/ (/ a1 b1) (* (cbrt b2) (cbrt b2)))
1.0ms
(cbrt b2)
1.0ms
(cbrt b2)

series851.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
303.0ms
(cbrt b2)
274.0ms
(cbrt b2)
170.0ms
(/ (/ a1 b1) (* (cbrt b2) (cbrt b2)))
104.0ms
(* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2)))

simplify958.0ms

Counts
172 → 172

prune1.6s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

5.5b
(* (/ (cbrt a1) b1) (/ a2 b2))
4.2b
(* (/ (* (cbrt a1) (cbrt a1)) 1) (* (/ (cbrt a1) b1) (/ a2 b2)))
0.6b
(cbrt a1)
0.6b
(cbrt a1)

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
126×add-exp-log
67×add-cbrt-cube
59×prod-exp
47×add-sqr-sqrt
44×div-exp
37×times-frac
36×cbrt-unprod
29×associate-*l*
28×*-un-lft-identity add-cube-cbrt
26×cbrt-undiv
17×cbrt-prod
14×associate-*r*
11×pow1
10×1-exp
6×frac-times associate-*r/ unswap-sqr
4×expm1-log1p-u pow-prod-down associate-*l/ insert-posit16 log1p-expm1-u add-log-exp
3×div-inv
2×pow1/3 *-commutative
Counts
4 → 160
Calls
4 calls:
Slowest
65.0ms
(* (/ (* (cbrt a1) (cbrt a1)) 1) (* (/ (cbrt a1) b1) (/ a2 b2)))
24.0ms
(* (/ (cbrt a1) b1) (/ a2 b2))
1.0ms
(cbrt a1)
1.0ms
(cbrt a1)

series796.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
273.0ms
(cbrt a1)
263.0ms
(cbrt a1)
193.0ms
(* (/ (cbrt a1) b1) (/ a2 b2))
67.0ms
(* (/ (* (cbrt a1) (cbrt a1)) 1) (* (/ (cbrt a1) b1) (/ a2 b2)))

simplify874.0ms

Counts
172 → 172

prune1.7s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes532.0ms

Accuracy

38.1% (5.6b remaining)

Error of 5.6b against oracle of 0.0b and baseline of 9.0b

bsearch24.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
809.0ms10039×body80valid