Details

Time bar (total: 6.1s)

sample21.0ms

Algorithm
intervals
Results
10.0ms311×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: 10.5b

localize5.0ms

Local error

Found 1 expressions with local error:

10.3b
(/ (* 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))

series32.0ms

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

simplify821.0ms

Counts
24 → 24
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
053269
1160261
2860191
done5001191

prune43.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

4.4b
(/ (* a1 a2) b1)
5.5b
(/ (/ (* a1 a2) b1) b2)

rewrite11.0ms

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
8×associate-/l*
7×cbrt-undiv div-exp
6×associate-/r* div-inv
2×pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
1×associate-/l/
Counts
2 → 69
Calls
2 calls:
3.0ms
(/ (* a1 a2) b1)
6.0ms
(/ (/ (* a1 a2) b1) b2)

series52.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ (* a1 a2) b1)
32.0ms
(/ (/ (* a1 a2) b1) b2)

simplify1.3s

Counts
75 → 75
Iterations

Useful iterations: 2 (119.0ms)

IterNodesCost
0123815
1298780
21004692
done5000692

prune151.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.9b
(/ 1 (/ b2 (/ (* a1 a2) b1)))
4.4b
(/ (* a1 a2) b1)
5.5b
(/ b2 (/ (* a1 a2) b1))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
234×times-frac
104×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
51×add-exp-log
36×associate-/r*
31×add-cbrt-cube
30×div-exp
23×div-inv
16×cbrt-undiv
7×associate-/l*
6×associate-/r/
5×prod-exp
4×pow1 rec-exp 1-exp
3×frac-2neg clear-num cbrt-unprod add-log-exp
1×pow-flip inv-pow
Counts
3 → 205
Calls
3 calls:
12.0ms
(/ 1 (/ b2 (/ (* a1 a2) b1)))
3.0ms
(/ (* a1 a2) b1)
7.0ms
(/ b2 (/ (* a1 a2) b1))

series79.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ 1 (/ b2 (/ (* a1 a2) b1)))
19.0ms
(/ (* a1 a2) b1)
29.0ms
(/ b2 (/ (* a1 a2) b1))

simplify841.0ms

Counts
214 → 214
Iterations

Useful iterations: done (835.0ms)

IterNodesCost
03063227
17252769
219642418
done50012412

prune319.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ 1 (* b1 b2))
9.8b
(* (* a1 a2) (/ 1 (* b1 b2)))

rewrite23.0ms

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))
16.0ms
(* (* 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)))

simplify1.5s

Counts
74 → 74
Iterations

Useful iterations: 2 (126.0ms)

IterNodesCost
099768
1294618
2994476
done5000476

prune87.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes285.0ms

Accuracy

52.8% (5.4b remaining)

Error of 5.5b against oracle of 0.0b and baseline of 11.6b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02865
13565
done3565

end0.0ms

sample461.0ms

Algorithm
intervals
Results
223.0ms9987×body80valid