Details

Time bar (total: 18.1s)

sample46.0ms

Algorithm
intervals
Results
21.0ms309×body80valid

simplify114.0ms

Counts
1 → 1
Iterations
IterNodes
done79
679
578
471
358
235
116
07

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.3b

localize19.0ms

Local error

Found 1 expressions with local error:

9.1b
(/ (* a1 a2) (* b1 b2))

rewrite28.0ms

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:
26.0ms
(/ (* a1 a2) (* b1 b2))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(/ (* a1 a2) (* b1 b2))

simplify2.6s

Counts
24 → 24
Iterations
IterNodes
done5001
2775
1152
053

prune188.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
4×associate-/l*
2×pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
1×associate-/r/
Counts
2 → 69
Calls
2 calls:
25.0ms
(/ a1 (/ (* b1 b2) a2))
30.0ms
(/ (* b1 b2) a2)

series100.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(/ a1 (/ (* b1 b2) a2))
34.0ms
(/ (* b1 b2) a2)

simplify1.9s

Counts
75 → 75
Iterations
IterNodes
done5007
21239
1331
0123

prune623.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

4.6b
(/ (/ a2 b1) b2)
4.8b
(* a1 (/ (/ a2 b1) b2))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
89×add-sqr-sqrt
80×add-cube-cbrt *-un-lft-identity
43×associate-*r*
16×add-exp-log add-cbrt-cube
13×associate-/l*
9×div-inv
6×cbrt-undiv div-exp
4×pow1
3×associate-*l* prod-exp associate-/r* cbrt-unprod unswap-sqr
2×add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
2 → 135
Calls
2 calls:
22.0ms
(/ (/ a2 b1) b2)
88.0ms
(* a1 (/ (/ a2 b1) b2))

series107.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ (/ a2 b1) b2)
63.0ms
(* a1 (/ (/ a2 b1) b2))

simplify2.7s

Counts
141 → 141
Iterations
IterNodes
done5001
22004
1578
0221

prune1.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a2)
0.6b
(cbrt a2)
4.3b
(* (/ b1 (* (cbrt a2) (cbrt a2))) (/ b2 (cbrt a2)))
5.0b
(/ a1 (* (/ b1 (* (cbrt a2) (cbrt a2))) (/ b2 (cbrt a2))))

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
54×add-exp-log
40×add-cbrt-cube
39×add-sqr-sqrt
31×times-frac
23×add-cube-cbrt *-un-lft-identity
22×associate-*r*
21×cbrt-undiv div-exp
17×cbrt-prod
16×prod-exp cbrt-unprod
7×associate-*l*
6×pow1 unswap-sqr
4×add-log-exp
3×associate-/r/ div-inv associate-/l*
2×frac-times pow1/3 associate-*r/ associate-*l/
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative
Counts
4 → 115
Calls
4 calls:
2.0ms
(cbrt a2)
2.0ms
(cbrt a2)
85.0ms
(* (/ b1 (* (cbrt a2) (cbrt a2))) (/ b2 (cbrt a2)))
65.0ms
(/ a1 (* (/ b1 (* (cbrt a2) (cbrt a2))) (/ b2 (cbrt a2))))

series928.0ms

Counts
4 → 12
Calls
4 calls:
385.0ms
(cbrt a2)
329.0ms
(cbrt a2)
98.0ms
(* (/ b1 (* (cbrt a2) (cbrt a2))) (/ b2 (cbrt a2)))
116.0ms
(/ a1 (* (/ b1 (* (cbrt a2) (cbrt a2))) (/ b2 (cbrt a2))))

simplify3.1s

Counts
127 → 127
Iterations
IterNodes
done5000
22421
1583
0187

prune989.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes1.5s

Accuracy

66.1% (3.8b remaining)

Error of 3.8b against oracle of 0.0b and baseline of 11.2b

bsearch2.0ms

simplify18.0ms

Iterations
IterNodes
done37
337
234
131
025

end0.0ms

sample1.3s

Algorithm
intervals
Results
551.0ms10037×body80valid