Details

Time bar (total: 17.6s)

sample38.0ms

Algorithm
intervals
Results
22.0ms319×body80valid

simplify105.0ms

Counts
1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.4b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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
11.0ms
(/ (* a1 a2) (* b1 b2))

series43.0ms

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

simplify4.7s

Counts
27 → 27

prune312.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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
10.0ms
(/ (* b1 b2) a2)
7.0ms
(/ a1 (/ (* b1 b2) a2))

series82.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
54.0ms
(/ a1 (/ (* b1 b2) a2))
28.0ms
(/ (* b1 b2) a2)

simplify2.3s

Counts
81 → 81

prune707.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize21.0ms

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)

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
258×times-frac
143×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
71×associate-*r*
69×cbrt-prod
45×add-exp-log
32×add-cbrt-cube
22×associate-/r*
15×cbrt-undiv div-exp prod-exp cbrt-unprod
9×pow1 div-inv
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow-prod-down associate-*r/ associate-/l*
2×pow1/3 associate-/r/
1×frac-times clear-num frac-2neg associate-*l* associate-*l/ *-commutative
Counts
4 → 243
Calls
4 calls:
Slowest
44.0ms
(* (* (cbrt a2) (/ (cbrt a2) b1)) (/ a1 (/ b2 (cbrt a2))))
7.0ms
(/ a1 (/ b2 (cbrt a2)))
1.0ms
(cbrt a2)
1.0ms
(cbrt a2)

series745.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
289.0ms
(cbrt a2)
282.0ms
(cbrt a2)
99.0ms
(/ a1 (/ b2 (cbrt a2)))
75.0ms
(* (* (cbrt a2) (/ (cbrt a2) b1)) (/ a1 (/ b2 (cbrt a2))))

simplify1.8s

Counts
255 → 255

prune2.9s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

5.8b
(/ a1 (* b1 (/ b2 a2)))
5.0b
(* b1 (/ b2 a2))

rewrite20.0ms

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-*l* associate-/l*
2×expm1-log1p-u associate-*r/ insert-posit16 log1p-expm1-u div-inv add-log-exp unswap-sqr
1×clear-num associate-/r* frac-2neg pow-prod-down associate-/r/ *-commutative
Counts
2 → 62
Calls
2 calls:
Slowest
11.0ms
(/ a1 (* b1 (/ b2 a2)))
9.0ms
(* b1 (/ b2 a2))

series84.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
46.0ms
(/ a1 (* b1 (/ b2 a2)))
38.0ms
(* b1 (/ b2 a2))

simplify1.4s

Counts
68 → 68

prune668.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes557.0ms

Accuracy

50.7% (5.2b remaining)

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

bsearch7.0ms

end0.0ms

sample986.0ms

Algorithm
intervals
Results
720.0ms9966×body80valid