Details

Time bar (total: 26.1s)

sample55.0ms

Algorithm
intervals
Results
40.0ms110×body10240exit
6.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
068
178
done78

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp a) (exp b))
1.3b
(/ (exp a) (+ (exp a) (exp b)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
5×distribute-lft-out
4×associate-/r* add-cbrt-cube add-log-exp
3×add-exp-log associate-/l*
2×pow1 flip3-+ associate-/r/ flip-+
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 45
Calls
2 calls:
4.0ms
(+ (exp a) (exp b))
9.0ms
(/ (exp a) (+ (exp a) (exp b)))

series54.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(+ (exp a) (exp b))
37.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify1.6s

Counts
51 → 51
Iterations

Useful iterations: 3 (140.0ms)

IterNodesCost
078616
1164587
2355558
3749546
41768546
done5001546

prune111.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (- a (log (+ (exp a) (exp b)))))
0.0b
(+ (exp a) (exp b))
0.7b
(- a (log (+ (exp a) (exp b))))
3.0b
(log (+ (exp a) (exp b)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
11×add-sqr-sqrt
9×add-log-exp
8×log-prod
7×pow1 add-cube-cbrt
6×log-div exp-prod
5×add-exp-log
4×flip3-+ exp-sum add-cbrt-cube flip-+ associate--r+ distribute-lft-out-- associate--r-
3×log-pow distribute-lft-out
2×sub-neg diff-log rem-exp-log difference-of-squares
1×+-commutative flip3-- exp-diff rem-log-exp sum-log flip--
Counts
4 → 68
Calls
4 calls:
9.0ms
(exp (- a (log (+ (exp a) (exp b)))))
4.0ms
(+ (exp a) (exp b))
6.0ms
(- a (log (+ (exp a) (exp b))))
4.0ms
(log (+ (exp a) (exp b)))

series134.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(exp (- a (log (+ (exp a) (exp b)))))
18.0ms
(+ (exp a) (exp b))
36.0ms
(- a (log (+ (exp a) (exp b))))
32.0ms
(log (+ (exp a) (exp b)))

simplify2.6s

Counts
80 → 80
Iterations

Useful iterations: 3 (184.0ms)

IterNodesCost
0107890
1233819
2458756
3869742
41869742
54840742
done5000742

prune193.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.0b
(+ (exp a) (exp b))
0.7b
(/ (/ (exp a) (sqrt (+ (exp a) (exp b)))) (sqrt (+ (exp a) (exp b))))
1.5b
(/ (exp a) (sqrt (+ (exp a) (exp b))))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
378×times-frac
304×*-un-lft-identity
224×sqrt-prod
188×add-sqr-sqrt add-cube-cbrt
58×distribute-lft-out
30×associate-/l*
20×sqrt-div associate-/r/
14×associate-/r*
12×flip3-+ flip-+
11×add-cbrt-cube
10×div-inv
9×add-exp-log
8×add-log-exp
4×pow1 cbrt-undiv div-exp
2×+-commutative frac-2neg clear-num sum-log
1×associate-/l/
Counts
4 → 309
Calls
4 calls:
4.0ms
(+ (exp a) (exp b))
4.0ms
(+ (exp a) (exp b))
31.0ms
(/ (/ (exp a) (sqrt (+ (exp a) (exp b)))) (sqrt (+ (exp a) (exp b))))
10.0ms
(/ (exp a) (sqrt (+ (exp a) (exp b))))

series142.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(+ (exp a) (exp b))
23.0ms
(+ (exp a) (exp b))
33.0ms
(/ (/ (exp a) (sqrt (+ (exp a) (exp b)))) (sqrt (+ (exp a) (exp b))))
69.0ms
(/ (exp a) (sqrt (+ (exp a) (exp b))))

simplify2.0s

Counts
321 → 321
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
03129034
16987977
215197322
338327017
done50007017

prune516.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (sqrt (+ (exp a) (exp b))))
0.7b
(/ (sqrt (+ (exp a) (exp b))) (/ (exp a) (cbrt (sqrt (+ (exp a) (exp b))))))
0.8b
(/ (/ 1 (* (cbrt (sqrt (+ (exp a) (exp b)))) (cbrt (sqrt (+ (exp a) (exp b)))))) (/ (sqrt (+ (exp a) (exp b))) (/ (exp a) (cbrt (sqrt (+ (exp a) (exp b)))))))
1.0b
(/ (exp a) (cbrt (sqrt (+ (exp a) (exp b)))))

rewrite955.0ms

Algorithm
rewrite-expression-head
Rules
12543×times-frac
6143×*-un-lft-identity
4187×add-sqr-sqrt add-cube-cbrt
3912×sqrt-prod
3342×sqrt-div
3340×cbrt-div
2555×cbrt-prod
2324×associate-/r/
1671×flip3-+ flip-+
1032×frac-times
978×distribute-lft-out
516×associate-*r/ associate-*l/
397×div-inv
303×associate-/r*
80×add-exp-log
58×div-exp
36×add-cbrt-cube
28×cbrt-undiv
25×associate-/l*
9×prod-exp
6×rec-exp 1-exp
4×pow1 add-log-exp
3×frac-2neg clear-num cbrt-unprod associate-/l/
1×pow1/3
Counts
4 → 4555
Calls
4 calls:
4.0ms
(cbrt (sqrt (+ (exp a) (exp b))))
37.0ms
(/ (sqrt (+ (exp a) (exp b))) (/ (exp a) (cbrt (sqrt (+ (exp a) (exp b))))))
160.0ms
(/ (/ 1 (* (cbrt (sqrt (+ (exp a) (exp b)))) (cbrt (sqrt (+ (exp a) (exp b)))))) (/ (sqrt (+ (exp a) (exp b))) (/ (exp a) (cbrt (sqrt (+ (exp a) (exp b)))))))
14.0ms
(/ (exp a) (cbrt (sqrt (+ (exp a) (exp b)))))

series293.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(cbrt (sqrt (+ (exp a) (exp b))))
102.0ms
(/ (sqrt (+ (exp a) (exp b))) (/ (exp a) (cbrt (sqrt (+ (exp a) (exp b))))))
34.0ms
(/ (/ 1 (* (cbrt (sqrt (+ (exp a) (exp b)))) (cbrt (sqrt (+ (exp a) (exp b)))))) (/ (sqrt (+ (exp a) (exp b))) (/ (exp a) (cbrt (sqrt (+ (exp a) (exp b)))))))
93.0ms
(/ (exp a) (cbrt (sqrt (+ (exp a) (exp b)))))

simplify2.1s

Counts
4567 → 4567
Iterations

Useful iterations: 0 (651.0ms)

IterNodesCost
03853322787
done5001322787

prune13.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

regimes82.0ms

Accuracy

0% (0.5b remaining)

Error of 0.8b against oracle of 0.4b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01894
12294
done2294

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.3s3529×body10240exit
184.0ms8000×body80valid