Details

Time bar (total: 3.8s)

sample17.0ms

Algorithm
intervals
Results
7.0ms314×body80valid

simplify28.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
1167
2377
3647
4757
done757

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize5.0ms

Local error

Found 1 expressions with local error:

11.2b
(/ (* a1 a2) (* b1 b2))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod
1×pow1 add-sqr-sqrt expm1-log1p-u add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
4.0ms
(/ (* a1 a2) (* b1 b2))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(/ (* a1 a2) (* b1 b2))

simplify315.0ms

Counts
26 → 26
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
055285
1162277
2870207
done5000207

prune47.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize5.0ms

Local error

Found 2 expressions with local error:

5.7b
(/ a1 (* b1 (/ b2 a2)))
6.3b
(* b1 (/ b2 a2))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×times-frac associate-*r*
12×add-cube-cbrt *-un-lft-identity
5×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod
3×associate-*l* associate-/l*
2×expm1-log1p-u associate-*r/ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num associate-/r* associate-/r/ *-commutative
Counts
2 → 60
Calls
2 calls:
4.0ms
(/ a1 (* b1 (/ b2 a2)))
7.0ms
(* b1 (/ b2 a2))

series53.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ a1 (* b1 (/ b2 a2)))
22.0ms
(* b1 (/ b2 a2))

simplify464.0ms

Counts
66 → 66
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
0110589
1268566
21230480
done5001480

prune131.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

5.8b
(* (/ a1 (* b1 b2)) a2)
6.1b
(/ a1 (* b1 b2))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity associate-*l*
6×times-frac
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp
3×associate-*r* associate-/l*
2×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
1×frac-2neg pow-prod-down associate-*l/ clear-num associate-/r* *-commutative unswap-sqr
Counts
2 → 52
Calls
2 calls:
10.0ms
(* (/ a1 (* b1 b2)) a2)
3.0ms
(/ a1 (* b1 b2))

series64.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(* (/ a1 (* b1 b2)) a2)
20.0ms
(/ a1 (* b1 b2))

simplify420.0ms

Counts
58 → 58
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
084514
1208503
2905415
done5000415

prune107.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

5.3b
(* (/ 1 b1) (/ a1 b2))
5.8b
(* (* (/ 1 b1) (/ a1 b2)) a2)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
56×add-exp-log
34×add-sqr-sqrt
32×add-cbrt-cube
25×times-frac prod-exp
19×*-un-lft-identity
17×add-cube-cbrt
16×div-exp associate-*r*
14×associate-*l*
13×cbrt-unprod
9×pow1
8×cbrt-undiv
6×unswap-sqr
5×associate-*l/
4×rec-exp 1-exp pow-prod-down
2×expm1-log1p-u frac-times associate-*r/ *-commutative log1p-expm1-u div-inv add-log-exp
Counts
2 → 91
Calls
2 calls:
17.0ms
(* (/ 1 b1) (/ a1 b2))
21.0ms
(* (* (/ 1 b1) (/ a1 b2)) a2)

series50.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(* (/ 1 b1) (/ a1 b2))
31.0ms
(* (* (/ 1 b1) (/ a1 b2)) a2)

simplify864.0ms

Counts
97 → 97
Iterations

Useful iterations: 2 (166.0ms)

IterNodesCost
01581120
1462913
21804711
done5001711

prune157.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes472.0ms

Accuracy

74.2% (2.9b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 11.2b

bsearch1.0ms

simplify15.0ms

Iterations

Useful iterations: 4 (5.0ms)

IterNodesCost
02275
12869
23163
33757
44356
55256
65956
76056
86156
done6156

end0.0ms

sample465.0ms

Algorithm
intervals
Results
223.0ms10023×body80valid