Details

Time bar (total: 9.0s)

sample37.0ms

Algorithm
intervals
Results
16.0ms70×body1280valid
7.0ms46×body640valid
3.0ms120×body80valid
2.0ms16×body320valid
0.0ms4×body160valid

simplify2.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0910
11510
22210
33010
45310
511110
625710
788610
8360010
done500010

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.2b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
0.0b
(+ 1.0 (exp (* -2.0 x)))
1.2b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
17×add-sqr-sqrt
13×times-frac
12×add-cube-cbrt
7×add-log-exp
5×add-exp-log add-cbrt-cube distribute-lft-out
4×associate-/r*
3×pow1 associate-/l*
2×flip3-+ associate-/r/ flip-+ difference-of-squares
1×cbrt-undiv +-commutative sub-neg flip3-- frac-2neg diff-log div-exp clear-num sum-log flip-- div-inv distribute-lft-out--
Counts
3 → 60
Calls
3 calls:
6.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
3.0ms
(+ 1.0 (exp (* -2.0 x)))
37.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series140.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
17.0ms
(+ 1.0 (exp (* -2.0 x)))
83.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify1.1s

Counts
69 → 69
Iterations

Useful iterations: 3 (297.0ms)

IterNodesCost
0116947
1252903
2603847
32415838
done5000838

prune159.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b
(* 0.33333333333333337 (pow x 3))
0.4b
(* 5.551115123125783e-17 (pow x 4))
9.0b
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
19×associate-*r*
13×add-exp-log
10×add-cube-cbrt *-un-lft-identity
8×unpow-prod-down
7×add-cbrt-cube unswap-sqr
6×associate-*l* prod-exp
5×add-log-exp
4×cube-prod sqr-pow
3×pow1
2×pow-to-exp pow-exp *-commutative cbrt-unprod
1×+-commutative cube-mult flip3-+ unpow3 sum-log flip-+
Counts
3 → 67
Calls
3 calls:
6.0ms
(* 0.33333333333333337 (pow x 3))
5.0ms
(* 5.551115123125783e-17 (pow x 4))
3.0ms
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

series186.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(* 0.33333333333333337 (pow x 3))
38.0ms
(* 5.551115123125783e-17 (pow x 4))
109.0ms
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

simplify507.0ms

Counts
76 → 76
Iterations

Useful iterations: 2 (119.0ms)

IterNodesCost
0114734
1271647
2957602
done5000602

prune167.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 0.33333333333333337 (pow x 3))
0.4b
(* 5.551115123125783e-17 (pow x 4))
0.8b
(log (exp (* 0.33333333333333337 (pow x 3))))
11.5b
(+ (* 5.551115123125783e-17 (pow x 4)) (log (exp (* 0.33333333333333337 (pow x 3)))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
19×associate-*r*
14×add-exp-log
13×add-cube-cbrt *-un-lft-identity
8×unpow-prod-down add-cbrt-cube
7×unswap-sqr
6×log-prod associate-*l* prod-exp add-log-exp
5×pow1
4×cube-prod sqr-pow
3×associate-+r+ log-pow
2×pow-to-exp pow-exp *-commutative cbrt-unprod
1×+-commutative cube-mult exp-prod exp-to-pow flip3-+ unpow3 rem-log-exp sum-log flip-+
Counts
4 → 84
Calls
4 calls:
6.0ms
(* 0.33333333333333337 (pow x 3))
5.0ms
(* 5.551115123125783e-17 (pow x 4))
1.0ms
(log (exp (* 0.33333333333333337 (pow x 3))))
7.0ms
(+ (* 5.551115123125783e-17 (pow x 4)) (log (exp (* 0.33333333333333337 (pow x 3)))))

series219.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* 0.33333333333333337 (pow x 3))
36.0ms
(* 5.551115123125783e-17 (pow x 4))
39.0ms
(log (exp (* 0.33333333333333337 (pow x 3))))
106.0ms
(+ (* 5.551115123125783e-17 (pow x 4)) (log (exp (* 0.33333333333333337 (pow x 3)))))

simplify503.0ms

Counts
96 → 96
Iterations

Useful iterations: 2 (128.0ms)

IterNodesCost
0134969
1292808
2950749
done5001749

prune243.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
0.0b
(+ 1.0 (exp (* -2.0 x)))
1.1b
(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
1.2b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
25×add-sqr-sqrt
15×add-cube-cbrt
14×times-frac
8×add-log-exp
7×log-pow
6×add-exp-log exp-prod add-cbrt-cube
5×pow1 log-prod distribute-lft-out
4×associate-/r* difference-of-squares
3×associate-/l*
2×sub-neg flip3-+ exp-sum associate-/r/ flip-+ distribute-lft-out--
1×cbrt-undiv +-commutative log-div flip3-- frac-2neg exp-diff diff-log div-exp rem-log-exp clear-num sum-log flip-- div-inv
Counts
4 → 81
Calls
4 calls:
6.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
3.0ms
(+ 1.0 (exp (* -2.0 x)))
74.0ms
(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
34.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series216.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
16.0ms
(+ 1.0 (exp (* -2.0 x)))
82.0ms
(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
81.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify1.1s

Counts
93 → 93
Iterations

Useful iterations: 3 (333.0ms)

IterNodesCost
01451321
12921228
26641137
325881128
done50001128

prune212.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes328.0ms

Accuracy

98% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 32.2b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02851
13740
done3740

end0.0ms

sample897.0ms

Algorithm
intervals
Results
380.0ms1738×body1280valid
180.0ms1231×body640valid
116.0ms4140×body80valid
55.0ms581×body320valid
19.0ms310×body160valid