Details

Time bar (total: 4.2s)

sample31.0ms

Algorithm
intervals
Results
10.0ms45×body1280valid
6.0ms43×body640valid
4.0ms136×body80valid
2.0ms17×body320valid
1.0ms15×body160valid

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1225
2315
3545
41195
53335
616465
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: 27.7b

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)))
3.6b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
99×*-un-lft-identity
68×add-sqr-sqrt
63×add-cube-cbrt
61×times-frac
54×prod-diff
18×fma-neg
17×distribute-lft-out
10×associate-/r/
7×add-log-exp
6×flip3-+ flip-+
5×add-exp-log add-cbrt-cube div-inv
4×associate-/r*
3×pow1 expm1-log1p-u fma-def log1p-expm1-u associate-/l*
2×difference-of-squares
1×cbrt-undiv +-commutative sub-neg flip3-- frac-2neg diff-log div-exp clear-num sum-log flip-- distribute-lft-out--
Counts
3 → 141
Calls
3 calls:
8.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
3.0ms
(+ 1.0 (exp (* -2.0 x)))
13.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series133.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
16.0ms
(+ 1.0 (exp (* -2.0 x)))
81.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify49.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03981645
112871235
250011212

prune257.0ms

Filtered
150 candidates to 86 candidates (57.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1473150
Fresh000
Picked101
Done000
Total1483151

Merged error: 0b

Counts
151 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (exp (* -2.0 x)) 1.0)
0.0b
(/ 2.0 (+ (exp (* -2.0 x)) 1.0))
3.6b
(- (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) 1.0)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
99×*-un-lft-identity
68×add-sqr-sqrt
63×add-cube-cbrt
61×times-frac
54×prod-diff
18×fma-neg
17×distribute-lft-out
10×associate-/r/
7×add-log-exp
6×flip3-+ flip-+
5×add-exp-log add-cbrt-cube div-inv
4×associate-/r*
3×pow1 expm1-log1p-u fma-def log1p-expm1-u associate-/l*
2×difference-of-squares
1×cbrt-undiv +-commutative sub-neg flip3-- frac-2neg diff-log div-exp clear-num sum-log flip-- distribute-lft-out--
Counts
3 → 141
Calls
3 calls:
4.0ms
(+ (exp (* -2.0 x)) 1.0)
6.0ms
(/ 2.0 (+ (exp (* -2.0 x)) 1.0))
16.0ms
(- (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) 1.0)

series132.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(+ (exp (* -2.0 x)) 1.0)
36.0ms
(/ 2.0 (+ (exp (* -2.0 x)) 1.0))
79.0ms
(- (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) 1.0)

simplify52.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03941646
112641238
250011208

prune248.0ms

Filtered
150 candidates to 84 candidates (56.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1491150
Fresh112
Picked011
Done000
Total1503153

Merged error: 0b

Counts
153 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (exp (* -2.0 x)))
0.0b
(+ 1.0 (exp (* -2.0 x)))
0.3b
(* (+ (sqrt (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0)) (- (sqrt (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0)))
4.1b
(- (sqrt (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
551×sqrt-prod
435×*-un-lft-identity
378×prod-diff
335×add-sqr-sqrt
305×add-cube-cbrt
232×times-frac
128×distribute-rgt-in distribute-lft-in
61×distribute-lft-out
38×associate-/r/
24×flip3-+ flip-+
21×fma-neg
19×div-inv
12×difference-of-squares
11×associate-*r*
10×add-log-exp
6×pow1 add-exp-log fma-def add-cbrt-cube
5×associate-*l*
4×expm1-log1p-u frac-times flip3-- flip-- log1p-expm1-u distribute-lft-out--
3×sub-neg
2×+-commutative associate-*r/ associate-*l/ sum-log
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 497
Calls
4 calls:
3.0ms
(+ 1.0 (exp (* -2.0 x)))
4.0ms
(+ 1.0 (exp (* -2.0 x)))
42.0ms
(* (+ (sqrt (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0)) (- (sqrt (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0)))
21.0ms
(- (sqrt (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0))

series526.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(+ 1.0 (exp (* -2.0 x)))
16.0ms
(+ 1.0 (exp (* -2.0 x)))
372.0ms
(* (+ (sqrt (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0)) (- (sqrt (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0)))
121.0ms
(- (sqrt (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0))

simplify139.0ms

Algorithm
egg-herbie
Counts
509 → 509
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
0141915826
1500113398

prune858.0ms

Filtered
509 candidates to 189 candidates (37.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New5090509
Fresh011
Picked011
Done011
Total5093512

Merged error: 0b

Counts
512 → 3

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 0.33333333333333337 (pow x 3))
7.6b
(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*r*
7×add-exp-log
6×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down cube-prod add-cbrt-cube unswap-sqr
3×associate-*l* prod-exp
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp sqr-pow
1×cube-mult pow-to-exp unpow3 pow-exp *-commutative cbrt-unprod fma-udef
Counts
2 → 43
Calls
2 calls:
9.0ms
(* 0.33333333333333337 (pow x 3))
1.0ms
(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

series132.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* 0.33333333333333337 (pow x 3))
96.0ms
(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

simplify182.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0142195
1582172
23698172
35002172

prune123.0ms

Filtered
49 candidates to 33 candidates (67.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New49049
Fresh000
Picked011
Done022
Total49352

Merged error: 0b

Counts
52 → 3

regimes183.0ms

Accuracy

99.5% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 29.4b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04330
14730
24730

end0.0ms

sample895.0ms

Algorithm
intervals
Results
368.0ms1709×body1280valid
179.0ms1246×body640valid
115.0ms4079×body80valid
60.0ms605×body320valid
27.0ms361×body160valid