Details

Time bar (total: 3.3s)

sample39.0ms

Algorithm
intervals
Results
15.0ms62×body1280valid
7.0ms38×body640valid
4.0ms121×body80valid
3.0ms24×body320valid
1.0ms11×body160valid

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1225
2305
3525
41145
53225
616275
750025

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 31.6b

Counts
2 → 1

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)))
3.2b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite19.0ms

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:
5.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
3.0ms
(+ 1.0 (exp (* -2.0 x)))
9.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series131.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
19.0ms
(+ 1.0 (exp (* -2.0 x)))
77.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify91.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0251494
1731465
22771460
35002460

prune121.0ms

Filtered
69 candidates to 50 candidates (72.5%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New66369
Fresh000
Picked101
Done000
Total67370

Merged error: 0.1b

Counts
70 → 3

localize11.0ms

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))
0.4b
(* 5.551115123125783e-17 (pow x 4))
9.8b
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

rewrite25.0ms

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:
8.0ms
(- (* 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)))

series220.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
37.0ms
(* 0.33333333333333337 (pow x 3))
35.0ms
(* 5.551115123125783e-17 (pow x 4))
101.0ms
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

simplify55.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0344493
11475459
25001459

prune161.0ms

Filtered
93 candidates to 58 candidates (62.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New92193
Fresh022
Picked101
Done000
Total93396

Merged error: 0.0b

Counts
96 → 3

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))
0.7b
(log (exp (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))))
9.8b
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

rewrite24.0ms

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×associate-*l* prod-exp add-log-exp
5×pow1
4×log-prod cube-prod log-pow sqr-pow
3×exp-prod
2×pow-to-exp pow-exp *-commutative cbrt-unprod
1×+-commutative cube-mult flip3-+ unpow3 rem-log-exp exp-sum sum-log flip-+
Counts
4 → 83
Calls
4 calls:
6.0ms
(* 0.33333333333333337 (pow x 3))
5.0ms
(* 5.551115123125783e-17 (pow x 4))
4.0ms
(log (exp (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))))
4.0ms
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

series295.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* 0.33333333333333337 (pow x 3))
36.0ms
(* 5.551115123125783e-17 (pow x 4))
100.0ms
(log (exp (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))))
124.0ms
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

simplify47.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0296472
11271423
25001423

prune188.0ms

Filtered
95 candidates to 60 candidates (63.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New95095
Fresh022
Picked011
Done000
Total95398

Merged error: 0.0b

Counts
98 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (exp (* -2.0 x)))
0.0b
(+ 1.0 (exp (* -2.0 x)))
0.0b
(* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))
3.2b
(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
86×*-un-lft-identity
64×times-frac
52×add-sqr-sqrt
40×add-cube-cbrt
24×swap-sqr
20×distribute-lft-out
18×associate-*r* associate-*l*
16×add-exp-log add-cbrt-cube
11×pow1
10×add-log-exp
8×associate-/r/
6×flip3-+ flip-+
4×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
2×+-commutative sum-log
1×pow2 frac-times sub-neg flip3-- pow-plus diff-log associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up flip-- difference-of-squares
Counts
4 → 125
Calls
4 calls:
3.0ms
(+ 1.0 (exp (* -2.0 x)))
3.0ms
(+ 1.0 (exp (* -2.0 x)))
16.0ms
(* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))
11.0ms
(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

series156.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(+ 1.0 (exp (* -2.0 x)))
15.0ms
(+ 1.0 (exp (* -2.0 x)))
43.0ms
(* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))
83.0ms
(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

simplify72.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
05421546
124531311
250011235

prune232.0ms

Filtered
137 candidates to 87 candidates (63.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1352137
Fresh101
Picked101
Done011
Total1373140

Merged error: 0.0b

Counts
140 → 3

regimes237.0ms

Accuracy

96.7% (1.1b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 32.0b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04865
14865

end0.0ms

sample1.0s

Algorithm
intervals
Results
445.0ms1776×body1280valid
209.0ms1213×body640valid
139.0ms4078×body80valid
73.0ms630×body320valid
26.0ms303×body160valid

Profiling

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