Details

Time bar (total: 8.8s)

sample17.0ms

Algorithm
intervals
Results
7.0ms313×body80valid

simplify27.0ms

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: 13.0b

localize5.0ms

Local error

Found 1 expressions with local error:

12.7b
(/ (* 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))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(/ (* a1 a2) (* b1 b2))

simplify832.0ms

Counts
24 → 24
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
053269
1160261
2860191
done5001191

prune41.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

3.9b
(* b2 (/ b1 a2))
6.4b
(/ a1 (* b2 (/ b1 a2)))

rewrite15.0ms

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×associate-*r/ div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num associate-/r* associate-/r/ *-commutative
Counts
2 → 56
Calls
2 calls:
9.0ms
(* b2 (/ b1 a2))
4.0ms
(/ a1 (* b2 (/ b1 a2)))

series46.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(* b2 (/ b1 a2))
29.0ms
(/ a1 (* b2 (/ b1 a2)))

simplify1.7s

Counts
62 → 62
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
0107561
1261538
2871452
34242452
done5001452

prune121.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a1)
0.6b
(cbrt a1)
1.6b
(/ (cbrt a1) (/ b1 a2))
8.1b
(* (/ (* (cbrt a1) (cbrt a1)) b2) (/ (cbrt a1) (/ b1 a2)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
293×times-frac
186×add-sqr-sqrt
154×add-cube-cbrt *-un-lft-identity
91×cbrt-prod
83×associate-*r*
45×add-exp-log
31×add-cbrt-cube
18×cbrt-undiv div-exp
16×div-inv
13×associate-/r*
12×prod-exp cbrt-unprod
10×unswap-sqr
7×associate-*l*
6×pow1 associate-/l*
4×add-log-exp
2×pow1/3 associate-/r/
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 264
Calls
4 calls:
0.0ms
(cbrt a1)
0.0ms
(cbrt a1)
6.0ms
(/ (cbrt a1) (/ b1 a2))
43.0ms
(* (/ (* (cbrt a1) (cbrt a1)) b2) (/ (cbrt a1) (/ b1 a2)))

series525.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt a1)
172.0ms
(cbrt a1)
119.0ms
(/ (cbrt a1) (/ b1 a2))
62.0ms
(* (/ (* (cbrt a1) (cbrt a1)) b2) (/ (cbrt a1) (/ b1 a2)))

simplify1.4s

Counts
276 → 276
Iterations

Useful iterations: 2 (622.0ms)

IterNodesCost
03744428
111364108
247593500
done50003500

prune733.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a1)
0.6b
(cbrt a1)
1.3b
(/ (* (cbrt (cbrt a1)) (cbrt (cbrt a1))) (/ (* (cbrt b1) (cbrt b1)) (* (cbrt a2) (cbrt a2))))
8.1b
(* (/ (* (cbrt a1) (cbrt a1)) b2) (* (/ (* (cbrt (cbrt a1)) (cbrt (cbrt a1))) (/ (* (cbrt b1) (cbrt b1)) (* (cbrt a2) (cbrt a2)))) (/ (cbrt (cbrt a1)) (/ (cbrt b1) (cbrt a2)))))

rewrite228.0ms

Algorithm
rewrite-expression-head
Rules
828×add-exp-log
368×add-cbrt-cube
365×prod-exp cbrt-unprod
347×cbrt-undiv div-exp
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
9×pow1
7×associate-*l*
6×cbrt-prod
5×frac-times associate-*r/ associate-/r*
4×div-inv add-log-exp
3×pow-prod-down associate-*l/
2×pow1/3
1×frac-2neg associate-*r* clear-num associate-/r/ *-commutative associate-/l*
Counts
4 → 293
Calls
4 calls:
1.0ms
(cbrt a1)
0.0ms
(cbrt a1)
11.0ms
(/ (* (cbrt (cbrt a1)) (cbrt (cbrt a1))) (/ (* (cbrt b1) (cbrt b1)) (* (cbrt a2) (cbrt a2))))
188.0ms
(* (/ (* (cbrt a1) (cbrt a1)) b2) (* (/ (* (cbrt (cbrt a1)) (cbrt (cbrt a1))) (/ (* (cbrt b1) (cbrt b1)) (* (cbrt a2) (cbrt a2)))) (/ (cbrt (cbrt a1)) (/ (cbrt b1) (cbrt a2)))))

series627.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt a1)
182.0ms
(cbrt a1)
201.0ms
(/ (* (cbrt (cbrt a1)) (cbrt (cbrt a1))) (/ (* (cbrt b1) (cbrt b1)) (* (cbrt a2) (cbrt a2))))
69.0ms
(* (/ (* (cbrt a1) (cbrt a1)) b2) (* (/ (* (cbrt (cbrt a1)) (cbrt (cbrt a1))) (/ (* (cbrt b1) (cbrt b1)) (* (cbrt a2) (cbrt a2)))) (/ (cbrt (cbrt a1)) (/ (cbrt b1) (cbrt a2)))))

simplify586.0ms

Counts
305 → 305
Iterations

Useful iterations: 1 (171.0ms)

IterNodesCost
048815023
1194014269
done500014269

prune630.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes596.0ms

Accuracy

75.6% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 9.4b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03193
13793
done3793

end0.0ms

sample475.0ms

Algorithm
intervals
Results
229.0ms9948×body80valid