Details

Time bar (total: 39.9s)

sample45.0ms

Algorithm
intervals
Results
28.0ms316×body80valid

simplify97.0ms

Counts
1 → 1
Iterations
IterNodes
779
679
578
471
358
235
116
07

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.7b

localize10.0ms

Local error

Found 1 expressions with local error:

10.7b
(/ (* 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:
12.0ms
(/ (* a1 a2) (* b1 b2))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(/ (* a1 a2) (* b1 b2))

simplify3.7s

Counts
27 → 27
Iterations
IterNodes
37719
2917
1164
058

prune226.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

4.1b
(/ (* a1 a2) b1)
6.4b
(/ (/ (* a1 a2) b1) b2)

rewrite21.0ms

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
8×associate-/l*
7×cbrt-undiv div-exp
6×associate-/r* div-inv
2×expm1-log1p-u pow1 clear-num frac-2neg prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 75
Calls
2 calls:
10.0ms
(/ (* a1 a2) b1)
10.0ms
(/ (/ (* a1 a2) b1) b2)

series75.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ (* a1 a2) b1)
49.0ms
(/ (/ (* a1 a2) b1) b2)

simplify1.5s

Counts
81 → 81
Iterations
IterNodes
34464
2887
1304
0128

prune704.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 1 (/ b1 (* a1 a2)))
4.2b
(/ b1 (* a1 a2))
6.4b
(/ (/ 1 (/ b1 (* a1 a2))) b2)

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
234×times-frac
104×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
61×add-exp-log
36×div-exp
32×associate-/l*
31×add-cbrt-cube
23×div-inv
16×cbrt-undiv
11×associate-/r*
7×prod-exp
6×rec-exp 1-exp
5×associate-/r/
4×pow1
3×expm1-log1p-u clear-num frac-2neg cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
1×pow-flip inv-pow associate-/l/
Counts
3 → 218
Calls
3 calls:
21.0ms
(/ 1 (/ b1 (* a1 a2)))
12.0ms
(/ b1 (* a1 a2))
30.0ms
(/ (/ 1 (/ b1 (* a1 a2))) b2)

series99.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ 1 (/ b1 (* a1 a2)))
24.0ms
(/ b1 (* a1 a2))
41.0ms
(/ (/ 1 (/ b1 (* a1 a2))) b2)

simplify25.1s

Counts
227 → 227
Iterations
IterNodes
36970
21855
1779
0327

prune2.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

4.9b
(/ a1 (/ b2 a2))
6.4b
(* (/ 1 b1) (/ a1 (/ b2 a2)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
165×times-frac
116×add-sqr-sqrt
89×*-un-lft-identity
86×add-cube-cbrt
46×add-exp-log
44×associate-*r*
28×add-cbrt-cube
21×div-exp
13×associate-/r* associate-*l*
12×cbrt-undiv prod-exp
10×div-inv
9×unswap-sqr
6×cbrt-unprod
4×pow1
3×rec-exp 1-exp associate-/l*
2×expm1-log1p-u associate-/r/ insert-posit16 log1p-expm1-u add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 172
Calls
2 calls:
6.0ms
(/ a1 (/ b2 a2))
18.0ms
(* (/ 1 b1) (/ a1 (/ b2 a2)))

series80.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ a1 (/ b2 a2))
42.0ms
(* (/ 1 b1) (/ a1 (/ b2 a2)))

simplify2.5s

Counts
178 → 178
Iterations
IterNodes
22704
1845
0280

prune1.6s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes576.0ms

Accuracy

31% (7.5b remaining)

Error of 7.6b against oracle of 0.0b and baseline of 11.0b

bsearch1.0ms

simplify7.0ms

Iterations
IterNodes
232
132
025

end0.0ms

sample1.2s

Algorithm
intervals
Results
840.0ms10024×body80valid