Details

Time bar (total: 10.9s)

sample23.0ms

Algorithm
intervals
Results
9.0ms325×body80valid

simplify36.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07124
116124
237124
367124
479124
done79124

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.9b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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 expm1-log1p-u pow1 clear-num associate-/r* frac-2neg *-un-lft-identity times-frac add-cube-cbrt log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
11.0ms
(/ (* a1 a2) (* b1 b2))

series32.0ms

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

simplify2.0s

Counts
26 → 26
Iterations

Useful iterations: 2 (460.0ms)

IterNodesCost
0575561
11685001
210844361
done50004361

prune179.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

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×expm1-log1p-u pow1 clear-num frac-2neg prod-exp cbrt-unprod log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 73
Calls
2 calls:
15.0ms
(/ (* a1 a2) b1)
21.0ms
(/ (/ (* a1 a2) b1) b2)

series78.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ (* a1 a2) b1)
51.0ms
(/ (/ (* a1 a2) b1) b2)

simplify943.0ms

Counts
79 → 79
Iterations

Useful iterations: done (934.0ms)

IterNodesCost
012617675
131616474
2166716073
done500215673

prune501.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

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)

rewrite70.0ms

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×expm1-log1p-u clear-num frac-2neg cbrt-unprod log1p-expm1-u add-log-exp
1×pow-flip inv-pow associate-/l/
Counts
3 → 215
Calls
3 calls:
20.0ms
(/ 1 (/ b1 (* a1 a2)))
12.0ms
(/ b1 (* a1 a2))
29.0ms
(/ (/ 1 (/ b1 (* a1 a2))) b2)

series124.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ 1 (/ b1 (* a1 a2)))
38.0ms
(/ b1 (* a1 a2))
41.0ms
(/ (/ 1 (/ b1 (* a1 a2))) b2)

simplify2.1s

Counts
224 → 224
Iterations

Useful iterations: done (2.1s)

IterNodesCost
032473862
181957796
2372153350
done500052990

prune983.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

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×expm1-log1p-u pow1 clear-num frac-2neg prod-exp cbrt-unprod log1p-expm1-u add-log-exp
1×associate-/r/
Counts
2 → 73
Calls
2 calls:
17.0ms
(/ a1 (/ (* b1 b2) a2))
20.0ms
(/ (* b1 b2) a2)

series67.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ a1 (/ (* b1 b2) a2))
32.0ms
(/ (* b1 b2) a2)

simplify1.2s

Counts
79 → 79
Iterations

Useful iterations: done (1.2s)

IterNodesCost
012917756
133716678
2166315995
done500015835

prune472.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes979.0ms

Accuracy

76.1% (2.7b remaining)

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

bsearch2.0ms

simplify11.0ms

Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
027968
131968
done31968

end0.0ms

sample961.0ms

Algorithm
intervals
Results
474.0ms9987×body80valid