Details

Time bar (total: 10.2s)

sample23.0ms

Algorithm
intervals
Results
9.0ms325×body80valid

simplify44.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07124
116124
237124
367124
479124
done79124

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.9b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube add-exp-log
4×cbrt-undiv div-exp prod-exp cbrt-unprod
1×add-sqr-sqrt pow1 clear-num associate-/r* frac-2neg *-un-lft-identity times-frac add-cube-cbrt div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
19.0ms
(/ (* a1 a2) (* b1 b2))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(/ (* a1 a2) (* b1 b2))

simplify1.9s

Counts
24 → 24
Iterations

Useful iterations: 2 (198.0ms)

IterNodesCost
0555153
11624593
29503953
done50003953

prune132.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

3.5b
(/ (* a1 a2) b1)
6.8b
(/ (/ (* a1 a2) b1) b2)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×add-cbrt-cube add-exp-log
8×associate-/l*
7×cbrt-undiv div-exp
6×associate-/r* div-inv
2×pow1 clear-num frac-2neg prod-exp cbrt-unprod add-log-exp
1×associate-/l/
Counts
2 → 69
Calls
2 calls:
7.0ms
(/ (* a1 a2) b1)
16.0ms
(/ (/ (* a1 a2) b1) b2)

series90.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ (* a1 a2) b1)
53.0ms
(/ (/ (* a1 a2) b1) b2)

simplify920.0ms

Counts
75 → 75
Iterations

Useful iterations: done (912.0ms)

IterNodesCost
012216941
131315740
2163215339
done500015099

prune371.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.8b
(/ 1 (/ b1 (* a1 a2)))
3.4b
(/ b1 (* a1 a2))
6.8b
(/ (/ 1 (/ b1 (* a1 a2))) b2)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
234×times-frac
104×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
61×add-exp-log
36×div-exp
32×associate-/l*
31×add-cbrt-cube
23×div-inv
16×cbrt-undiv
11×associate-/r*
7×prod-exp
6×rec-exp 1-exp
5×associate-/r/
4×pow1
3×clear-num frac-2neg cbrt-unprod add-log-exp
1×pow-flip inv-pow associate-/l/
Counts
3 → 209
Calls
3 calls:
11.0ms
(/ 1 (/ b1 (* a1 a2)))
6.0ms
(/ b1 (* a1 a2))
21.0ms
(/ (/ 1 (/ b1 (* a1 a2))) b2)

series108.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ 1 (/ b1 (* a1 a2)))
22.0ms
(/ b1 (* a1 a2))
53.0ms
(/ (/ 1 (/ b1 (* a1 a2))) b2)

simplify2.3s

Counts
218 → 218
Iterations

Useful iterations: done (2.2s)

IterNodesCost
031872638
185156572
2404755260
done500154780

prune890.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

4.9b
(/ a1 (/ (* b1 b2) a2))
6.4b
(/ (* b1 b2) a2)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×add-cbrt-cube add-exp-log
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
4×associate-/l*
2×pow1 clear-num frac-2neg prod-exp cbrt-unprod add-log-exp
1×associate-/r/
Counts
2 → 69
Calls
2 calls:
8.0ms
(/ a1 (/ (* b1 b2) a2))
8.0ms
(/ (* b1 b2) a2)

series71.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ a1 (/ (* b1 b2) a2))
25.0ms
(/ (* b1 b2) a2)

simplify884.0ms

Counts
75 → 75
Iterations

Useful iterations: done (879.0ms)

IterNodesCost
012517022
133615944
2167715501
done500115261

prune381.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes971.0ms

Accuracy

76.1% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 11.4b

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
027968
131968
done31968

end0.0ms

sample881.0ms

Algorithm
intervals
Results
458.0ms9987×body80valid