Details

Time bar (total: 2.3s)

sample37.0ms

Algorithm
intervals
Results
13.0ms56×body1280valid
6.0ms38×body640valid
4.0ms130×body80valid
2.0ms17×body320valid
1.0ms15×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: 29.6b

Counts
2 → 1

localize6.0ms

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)))
4.5b
(- (/ 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)

series15.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
2.0ms
(+ 1.0 (exp (* -2.0 x)))
8.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify92.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0251494
1731465
22771460
35002460

prune120.0ms

Filtered
50 candidates to 69 candidates (-38.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New67269
Fresh000
Picked101
Done000
Total68270

Merged error: 0b

Counts
70 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
0.0b
(cbrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3))
0.0b
(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)
4.5b
(- (cbrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)) 1.0)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
81×*-un-lft-identity
62×add-sqr-sqrt times-frac
48×cbrt-prod
47×add-cube-cbrt
38×unpow-prod-down cube-prod
16×distribute-lft-out
10×associate-/r/
9×add-exp-log add-cbrt-cube
7×difference-of-squares
6×add-log-exp
5×pow1 flip3-+ flip-+ div-inv
4×associate-/r*
3×pow-unpow associate-/l* sqr-pow
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp rem-cube-cbrt
1×pow-to-exp sub-neg cbrt-div flip3-- pow-pow frac-2neg pow1/3 diff-log clear-num flip-- rem-cbrt-cube distribute-lft-out--
Counts
4 → 161
Calls
4 calls:
5.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
8.0ms
(cbrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3))
7.0ms
(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)
19.0ms
(- (cbrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)) 1.0)

series32.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
6.0ms
(cbrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3))
9.0ms
(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)
11.0ms
(- (cbrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)) 1.0)

simplify73.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05221569
121571433
250011424

prune213.0ms

Filtered
86 candidates to 173 candidates (-101.2%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1730173
Fresh011
Picked011
Done000
Total1732175

Merged error: 0b

Counts
175 → 2

localize14.0ms

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))
0.9b
(* 5.551115123125783e-17 (pow x 4))
9.2b
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

rewrite24.0ms

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:
6.0ms
(- (* 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))
5.0ms
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

series24.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(- (* 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))
10.0ms
(+ (* 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

prune128.0ms

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

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New93093
Fresh000
Picked011
Done011
Total93295

Merged error: 0b

Counts
95 → 2

regimes281.0ms

Accuracy

96.8% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 29.7b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03716
13716

end0.0ms

sample1.1s

Algorithm
intervals
Results
425.0ms1720×body1280valid
209.0ms1241×body640valid
130.0ms4045×body80valid
78.0ms675×body320valid
24.0ms319×body160valid

Profiling

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