Details

sample34.0ms

Algorithm

intervals

Results

13.0ms	59×	body	1280	valid
6.0ms	42×	body	640	valid
3.0ms	124×	body	80	valid
2.0ms	22×	body	320	valid
1.0ms	9×	body	160	valid

simplify63.0ms

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: 31.1b

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)))
2.7b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite42.0ms

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:

6.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
3.0ms	(+ 1.0 (exp (* -2.0 x)))
32.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series139.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
20.0ms	(+ 1.0 (exp (* -2.0 x)))
83.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify90.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	251	494
1	731	465
2	2785	460
3	5002	460

prune151.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 0.33333333333333337 (pow x 3))
8.2b	(+ (* 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` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `sqr-pow`
1×	`+-commutative` `cube-mult` `pow-to-exp` `flip3-+` `unpow3` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 42

Calls

2 calls:

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

series146.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* 0.33333333333333337 (pow x 3))
109.0ms	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

simplify36.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	199	228
1	849	205
2	5001	204

prune109.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))
2.7b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
2.7b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
2.7b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite115.0ms

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:

15.0ms	(cbrt (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))
33.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
31.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
33.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series444.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(cbrt (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))
80.0ms	(- (/ 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)

simplify60.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	182	717
1	431	663
2	1641	624
3	5002	613

prune193.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes160.0ms

Accuracy

99.3% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 32.5b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	29
1	39	29

end0.0ms

sample881.0ms

Algorithm

intervals

Results

362.0ms	1697×	body	1280	valid
176.0ms	1207×	body	640	valid
122.0ms	4178×	body	80	valid
58.0ms	621×	body	320	valid
18.0ms	297×	body	160	valid