Details

Time bar (total: 3.4s)

sample17.0ms

Algorithm
intervals
Results
7.0ms312×body80valid

simplify23.0ms

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: 9.5b

localize5.0ms

Local error

Found 1 expressions with local error:

9.3b
(/ (* 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 add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
4.0ms
(/ (* a1 a2) (* b1 b2))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(/ (* a1 a2) (* b1 b2))

simplify297.0ms

Counts
24 → 24
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
053269
1160261
2868191
done5000191

prune45.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

9.0b
(* (/ a1 b1) (/ a2 b2))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
22×times-frac
15×add-cube-cbrt *-un-lft-identity
13×add-exp-log associate-*r* associate-*l* add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
3×pow1
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative add-log-exp
Counts
1 → 50
Calls
1 calls:
13.0ms
(* (/ a1 b1) (/ a2 b2))

series28.0ms

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

simplify515.0ms

Counts
53 → 53
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
0110565
1323543
21337471
done5000471

prune118.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

4.9b
(* a1 (/ a2 b2))
5.3b
(/ (* a1 (/ a2 b2)) b1)

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-/r*
2×associate-*r/ div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l/ associate-/l*
Counts
2 → 56
Calls
2 calls:
7.0ms
(* a1 (/ a2 b2))
5.0ms
(/ (* a1 (/ a2 b2)) b1)

series50.0ms

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

simplify441.0ms

Counts
62 → 62
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
0106560
1273533
21234447
done5001447

prune120.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.8b
(/ 1 (* b1 b2))
8.9b
(* (* a1 a2) (/ 1 (* b1 b2)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
58×add-exp-log
30×prod-exp
28×add-cbrt-cube
12×div-exp cbrt-unprod
10×pow1
7×associate-*r*
6×cbrt-undiv add-sqr-sqrt add-cube-cbrt rec-exp *-un-lft-identity times-frac 1-exp
4×pow-prod-down
3×associate-/l*
2×pow-flip div-inv add-log-exp
1×frac-2neg associate-*r/ associate-*l* clear-num associate-/r* un-div-inv *-commutative inv-pow
Counts
2 → 68
Calls
2 calls:
4.0ms
(/ 1 (* b1 b2))
15.0ms
(* (* a1 a2) (/ 1 (* b1 b2)))

series40.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(/ 1 (* b1 b2))
28.0ms
(* (* a1 a2) (/ 1 (* b1 b2)))

simplify723.0ms

Counts
74 → 74
Iterations

Useful iterations: 2 (104.0ms)

IterNodesCost
099768
1301630
21246476
done5001476

prune79.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes351.0ms

Accuracy

54.7% (5.2b remaining)

Error of 5.2b against oracle of 0.0b and baseline of 11.4b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02763
13363
done3363

end0.0ms

sample468.0ms

Algorithm
intervals
Results
228.0ms9910×body80valid