Details

sample49.0ms

Algorithm

intervals

Results

18.0ms	52×	body	1280	valid
10.0ms	41×	body	640	valid
8.0ms	134×	body	80	valid
2.0ms	12×	body	320	valid
2.0ms	17×	body	160	valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	5
1	22	5
2	30	5
3	52	5
4	114	5
5	322	5
6	1627	5
7	5002	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp (* -2.0 x)))
0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
3.5b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite43.0ms

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:

3.0ms	(+ 1.0 (exp (* -2.0 x)))
6.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
33.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series139.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+ 1.0 (exp (* -2.0 x)))
41.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
82.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify91.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	251	494
1	731	465
2	2785	460
3	5001	460

prune151.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ 1.0 (exp (* -2.0 x))))
0.5b	(cbrt (+ 1.0 (exp (* -2.0 x))))
0.5b	(cbrt (+ 1.0 (exp (* -2.0 x))))
3.5b	(- (/ 2.0 (* (* (cbrt (+ 1.0 (exp (* -2.0 x)))) (cbrt (+ 1.0 (exp (* -2.0 x))))) (cbrt (+ 1.0 (exp (* -2.0 x)))))) 1.0)

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
12×	`cbrt-prod`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3-+` `pow1/3` `flip-+` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 56

Calls

4 calls:

2.0ms	(cbrt (+ 1.0 (exp (* -2.0 x))))
2.0ms	(cbrt (+ 1.0 (exp (* -2.0 x))))
2.0ms	(cbrt (+ 1.0 (exp (* -2.0 x))))
111.0ms	(- (/ 2.0 (* (* (cbrt (+ 1.0 (exp (* -2.0 x)))) (cbrt (+ 1.0 (exp (* -2.0 x))))) (cbrt (+ 1.0 (exp (* -2.0 x)))))) 1.0)

series486.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(cbrt (+ 1.0 (exp (* -2.0 x))))
138.0ms	(cbrt (+ 1.0 (exp (* -2.0 x))))
137.0ms	(cbrt (+ 1.0 (exp (* -2.0 x))))
79.0ms	(- (/ 2.0 (* (* (cbrt (+ 1.0 (exp (* -2.0 x)))) (cbrt (+ 1.0 (exp (* -2.0 x))))) (cbrt (+ 1.0 (exp (* -2.0 x)))))) 1.0)

simplify83.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (75.0ms)

Iter	Nodes	Cost
0	214	796
1	631	708
2	2723	671
3	5001	639

prune199.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

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))
7.8b	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
19×	`associate-r`
13×	`add-exp-log`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down`
7×	`add-cbrt-cube` `unswap-sqr`
6×	`associate-l` `prod-exp`
5×	`add-log-exp`
4×	`cube-prod` `sqr-pow`
3×	`pow1`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `flip3-+` `unpow3` `sum-log` `flip-+`

Counts

3 → 67

Calls

3 calls:

7.0ms	(* 0.33333333333333337 (pow x 3))
6.0ms	(* 5.551115123125783e-17 (pow x 4))
3.0ms	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

series194.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(* 0.33333333333333337 (pow x 3))
37.0ms	(* 5.551115123125783e-17 (pow x 4))
116.0ms	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

simplify44.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	268	323
1	1157	293
2	5001	293

prune166.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes140.0ms

Accuracy

99% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 29.9b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	25
1	39	25

end0.0ms

sample1.5s

Algorithm

intervals

Results

602.0ms	1723×	body	1280	valid
314.0ms	1252×	body	640	valid
241.0ms	4095×	body	80	valid
110.0ms	620×	body	320	valid
38.0ms	310×	body	160	valid