Details

Time bar (total: 3.5s)

sample37.0ms

Algorithm
intervals
Results
14.0ms56×body1280valid
6.0ms35×body640valid
4.0ms132×body80valid
3.0ms27×body320valid
0.0ms6×body160valid

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1225
2305
3525
41145
53225
616275
750025

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 29.4b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

2.9b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
3×*-un-lft-identity add-log-exp
2×difference-of-squares
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- times-frac diff-log add-cbrt-cube flip-- distribute-lft-out--
Counts
1 → 15
Calls
1 calls:
9.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify142.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
0118161
1265148
2925144
34114144
45001144

prune45.0ms

Filtered
13 candidates to 18 candidates (-38.5%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New15318
Fresh000
Picked101
Done000
Total16319

Merged error: 0b

Counts
19 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))
0.0b
(/ (- (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3) (pow 1.0 3)) (+ (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (+ 1.0 (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))) (* 1.0 1.0)))
0.0b
(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)
2.9b
(- (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3) (pow 1.0 3))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
289×add-sqr-sqrt
163×times-frac
123×*-un-lft-identity
120×difference-of-squares
108×unpow-prod-down cube-prod
59×add-cube-cbrt
51×sqr-pow
33×associate-/l*
25×distribute-lft-out--
9×add-exp-log add-cbrt-cube
8×add-log-exp
7×distribute-lft-out
6×associate-/r/
5×pow1 difference-cubes
4×flip3-+ flip-+
3×pow-unpow associate-/r* div-inv
2×cbrt-undiv flip3-- div-exp pow-exp flip-- associate-/l/ rem-cube-cbrt
1×+-commutative cube-div cube-mult pow-to-exp sub-neg pow-pow frac-2neg diff-log unpow3 div-sub clear-num sum-log
Counts
4 → 262
Calls
4 calls:
8.0ms
(+ 1.0 (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))
49.0ms
(/ (- (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3) (pow 1.0 3)) (+ (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (+ 1.0 (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))) (* 1.0 1.0)))
6.0ms
(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)
30.0ms
(- (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3) (pow 1.0 3))

series78.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ 1.0 (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))
49.0ms
(/ (- (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3) (pow 1.0 3)) (+ (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (+ 1.0 (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))) (* 1.0 1.0)))
9.0ms
(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)
14.0ms
(- (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3) (pow 1.0 3))

simplify155.0ms

Algorithm
egg-herbie
Counts
274 → 274
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
09356948
138826726
250016644

prune839.0ms

Filtered
133 candidates to 274 candidates (-106.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2740274
Fresh022
Picked011
Done000
Total2743277

Merged error: 0b

Counts
277 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
0.1b
(* 0.33333333333333337 (pow x 3))
0.2b
(* 5.551115123125783e-17 (pow x 4))
8.0b
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×associate-*r*
14×add-exp-log
11×add-cube-cbrt *-un-lft-identity add-log-exp
8×unpow-prod-down add-cbrt-cube
7×unswap-sqr
6×associate-*l* prod-exp
4×pow1 cube-prod sqr-pow
2×pow-to-exp diff-log pow-exp sum-log *-commutative cbrt-unprod
1×+-commutative cube-mult sub-neg flip3-- flip3-+ unpow3 flip-- flip-+ associate--r+
Counts
4 → 81
Calls
4 calls:
5.0ms
(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
6.0ms
(* 0.33333333333333337 (pow x 3))
5.0ms
(* 5.551115123125783e-17 (pow x 4))
4.0ms
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

series21.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
4.0ms
(* 0.33333333333333337 (pow x 3))
4.0ms
(* 5.551115123125783e-17 (pow x 4))
9.0ms
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

simplify51.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0344493
11475459
25001459

prune126.0ms

Filtered
58 candidates to 93 candidates (-60.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New93093
Fresh011
Picked011
Done011
Total93396

Merged error: 0b

Counts
96 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(exp (log (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
2.9b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
8×*-un-lft-identity
6×log-prod exp-sum
4×add-cube-cbrt exp-prod add-log-exp difference-of-squares
3×pow1
2×add-exp-log log-div flip3-- times-frac exp-diff add-cbrt-cube flip-- distribute-lft-out--
1×sub-neg diff-log log-pow rem-exp-log
Counts
2 → 35
Calls
2 calls:
11.0ms
(exp (log (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
9.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series15.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(exp (log (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
8.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify151.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 3 (29.0ms)

IterNodesCost
0163374
1330348
21013328
34385322
45002322

prune62.0ms

Filtered
27 candidates to 41 candidates (-51.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New41041
Fresh000
Picked011
Done022
Total41344

Merged error: 0b

Counts
44 → 3

regimes456.0ms

Accuracy

98.5% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 29.3b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04536
14536

end0.0ms

sample1.1s

Algorithm
intervals
Results
419.0ms1696×body1280valid
217.0ms1285×body640valid
139.0ms4108×body80valid
70.0ms609×body320valid
22.0ms302×body160valid

Profiling

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