Details

Time bar (total: 3.4s)

sample35.0ms

Algorithm
intervals
Results
12.0ms56×body1280valid
8.0ms42×body640valid
3.0ms126×body80valid
2.0ms20×body320valid
1.0ms12×body160valid

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1225
2305
3525
41145
53225
616185
750015

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: 30.8b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
4.5b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
16×add-sqr-sqrt
13×times-frac
11×add-cube-cbrt
4×add-exp-log associate-/r* add-cbrt-cube distribute-lft-out add-log-exp
3×associate-/l*
2×pow1 associate-/r/ difference-of-squares
1×cbrt-undiv sub-neg flip3-- frac-2neg flip3-+ diff-log div-exp clear-num flip-- flip-+ div-inv distribute-lft-out--
Counts
2 → 48
Calls
2 calls:
6.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
13.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series121.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
82.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify57.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0214413
1597391
21939387
35001387

prune94.0ms

Filtered
54 candidates to 40 candidates (74.1%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New51354
Fresh000
Picked101
Done000
Total52355

Merged error: 0.0b

Counts
55 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b
(* 0.33333333333333337 (pow x 3))
0.2b
(* 5.551115123125783e-17 (pow x 4))
9.6b
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
17×*-un-lft-identity
15×associate-*r*
13×add-exp-log
10×associate-*l*
9×add-cube-cbrt
8×unpow-prod-down
7×pow1 add-cbrt-cube
6×prod-exp unswap-sqr
5×add-log-exp
4×distribute-lft-out sqr-pow
2×pow-to-exp pow-prod-down pow-exp *-commutative cbrt-unprod
1×+-commutative flip3-+ unpow3 sum-log flip-+
Counts
3 → 68
Calls
3 calls:
6.0ms
(* 0.33333333333333337 (pow x 3))
6.0ms
(* 5.551115123125783e-17 (pow x 4))
23.0ms
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

series185.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(* 0.33333333333333337 (pow x 3))
37.0ms
(* 5.551115123125783e-17 (pow x 4))
109.0ms
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

simplify42.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0255330
11072306
25002306

prune122.0ms

Filtered
77 candidates to 46 candidates (59.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New77077
Fresh022
Picked011
Done000
Total77380

Merged error: 0.0b

Counts
80 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))
4.5b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
4.5b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
4.5b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
13×*-un-lft-identity
10×add-log-exp
8×difference-of-squares
6×cbrt-prod
5×add-cube-cbrt
4×pow1 add-exp-log flip3-- times-frac add-cbrt-cube flip-- distribute-lft-out--
3×sub-neg diff-log
2×cbrt-div
1×pow1/3
Counts
4 → 61
Calls
4 calls:
12.0ms
(cbrt (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))
13.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
13.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
13.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series443.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(cbrt (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))
80.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
82.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
81.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify53.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (45.0ms)

IterNodesCost
0176717
1402663
21467624
35001616

prune159.0ms

Filtered
73 candidates to 54 candidates (74.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New72173
Fresh011
Picked101
Done011
Total73376

Merged error: 0.0b

Counts
76 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))
4.5b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
4.5b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
4.5b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
13×*-un-lft-identity
10×add-log-exp
8×difference-of-squares
6×cbrt-prod
5×add-cube-cbrt
4×pow1 add-exp-log flip3-- times-frac add-cbrt-cube flip-- distribute-lft-out--
3×sub-neg diff-log
2×cbrt-div
1×pow1/3
Counts
4 → 61
Calls
4 calls:
12.0ms
(cbrt (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))
13.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
13.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
13.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series444.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(cbrt (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))
84.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
80.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
81.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify53.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (45.0ms)

IterNodesCost
0176717
1402663
21467624
35001616

prune202.0ms

Filtered
73 candidates to 54 candidates (74.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New72173
Fresh011
Picked101
Done011
Total73376

Merged error: 0.0b

Counts
76 → 3

regimes262.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 31.6b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04945
14945

end0.0ms

sample864.0ms

Algorithm
intervals
Results
350.0ms1664×body1280valid
178.0ms1273×body640valid
110.0ms4065×body80valid
62.0ms655×body320valid
20.0ms343×body160valid