Details

Time bar (total: 8.4s)

sample18.0ms

Algorithm
intervals
Results
7.0ms325×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: 9.4b

localize6.0ms

Local error

Found 1 expressions with local error:

9.2b
(/ (* 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 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))

simplify835.0ms

Counts
24 → 24
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
053269
1160261
2860191
done5000191

prune46.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ 1 (* b1 b2))
8.7b
(* (* a1 a2) (/ 1 (* b1 b2)))

rewrite24.0ms

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))
18.0ms
(* (* 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)))

simplify2.1s

Counts
74 → 74
Iterations

Useful iterations: 2 (152.0ms)

IterNodesCost
099768
1294630
21058476
done5000476

prune93.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1 b1) b2)
8.7b
(* (* a1 a2) (* 1 (/ (/ 1 b1) b2)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
96×add-exp-log
75×times-frac
53×prod-exp
44×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
39×add-cbrt-cube
30×div-exp
18×cbrt-unprod
15×1-exp
14×pow1
13×associate-/l*
9×cbrt-undiv
8×pow-prod-down
5×rec-exp div-inv
3×associate-/r*
2×associate-*r/ add-log-exp
1×frac-2neg associate-*r* associate-*l* clear-num *-commutative associate-/l/
Counts
2 → 117
Calls
2 calls:
6.0ms
(/ (/ 1 b1) b2)
25.0ms
(* (* a1 a2) (* 1 (/ (/ 1 b1) b2)))

series45.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(/ (/ 1 b1) b2)
32.0ms
(* (* a1 a2) (* 1 (/ (/ 1 b1) b2)))

simplify1.8s

Counts
123 → 123
Iterations

Useful iterations: 2 (385.0ms)

IterNodesCost
02191686
15831389
214591072
done50001072

prune161.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (/ 1 b1))
0.5b
(cbrt (/ 1 b1))
0.5b
(cbrt (/ 1 b1))
8.7b
(* (* a1 a2) (* 1 (/ (* (cbrt (/ 1 b1)) (cbrt (/ 1 b1))) (/ b2 (cbrt (/ 1 b1))))))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
101×add-exp-log
61×prod-exp
48×add-cbrt-cube
39×cbrt-prod
32×cbrt-unprod
27×times-frac
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
24×div-exp
16×pow1
12×cbrt-undiv
10×1-exp
8×pow-prod-down
4×add-log-exp
3×cbrt-div pow1/3 div-inv
2×associate-*r/
1×associate-*r* associate-*l* *-commutative
Counts
4 → 115
Calls
4 calls:
2.0ms
(cbrt (/ 1 b1))
2.0ms
(cbrt (/ 1 b1))
2.0ms
(cbrt (/ 1 b1))
81.0ms
(* (* a1 a2) (* 1 (/ (* (cbrt (/ 1 b1)) (cbrt (/ 1 b1))) (/ b2 (cbrt (/ 1 b1))))))

series601.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt (/ 1 b1))
185.0ms
(cbrt (/ 1 b1))
173.0ms
(cbrt (/ 1 b1))
60.0ms
(* (* a1 a2) (* 1 (/ (* (cbrt (/ 1 b1)) (cbrt (/ 1 b1))) (/ b2 (cbrt (/ 1 b1))))))

simplify1.2s

Counts
127 → 127
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01712307
14941994
217311201
done50001193

prune220.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes365.0ms

Accuracy

49.5% (5.5b remaining)

Error of 5.5b against oracle of 0.0b and baseline of 10.9b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
03063
14057
done4057

end0.0ms

sample683.0ms

Algorithm
intervals
Results
438.0ms10036×body80valid