Details

sample35.0ms

Algorithm

intervals

Results

14.0ms	64×	body	1280	valid
5.0ms	39×	body	640	valid
3.0ms	128×	body	80	valid
1.0ms	13×	body	320	valid
1.0ms	12×	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: 30.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
3×	`*-un-lft-identity` `add-log-exp`
2×	`difference-of-squares`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `times-frac` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--`

Counts

1 → 15

Calls

1 calls:

67.0ms

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

series73.0ms

Counts

1 → 3

Calls

1 calls:

73.0ms

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

simplify145.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	118	161
1	265	148
2	925	144
3	4114	144
4	5002	144

prune43.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)
0.0b	(+ 1.0 (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))
3.6b	(- (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3) (pow 1.0 3))

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
36×	`unpow-prod-down` `cube-prod`
32×	`times-frac`
24×	`difference-of-squares`
20×	`add-cube-cbrt`
11×	`sqr-pow`
7×	`distribute-lft-out` `add-log-exp`
6×	`add-exp-log` `add-cbrt-cube`
5×	`distribute-lft-out--`
4×	`pow1` `associate-/r/`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`pow-exp` `div-inv` `rem-cube-cbrt`
1×	`difference-cubes` `cbrt-undiv` `+-commutative` `cube-div` `cube-mult` `pow-to-exp` `sub-neg` `flip3--` `pow-pow` `diff-log` `unpow3` `div-exp` `sum-log` `flip--`

Counts

3 → 110

Calls

3 calls:

16.0ms	(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)
25.0ms	(+ 1.0 (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))
165.0ms	(- (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3) (pow 1.0 3))

series219.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)
49.0ms	(+ 1.0 (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))
122.0ms	(- (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3) (pow 1.0 3))

simplify72.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	559	1311
1	2292	1197
2	5002	1171

prune227.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

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))
0.5b	(* 5.551115123125783e-17 (pow x 4))
9.6b	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

rewrite51.0ms

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:

15.0ms	(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
12.0ms	(* 0.33333333333333337 (pow x 3))
13.0ms	(* 5.551115123125783e-17 (pow x 4))
9.0ms	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

series215.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
34.0ms	(* 0.33333333333333337 (pow x 3))
36.0ms	(* 5.551115123125783e-17 (pow x 4))
96.0ms	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

simplify52.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	344	493
1	1475	459
2	5001	459

prune186.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes153.0ms

Accuracy

97.5% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 30.0b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	29
1	45	29

end0.0ms

sample930.0ms

Algorithm

intervals

Results

371.0ms	1756×	body	1280	valid
181.0ms	1265×	body	640	valid
102.0ms	4011×	body	80	valid
57.0ms	635×	body	320	valid
19.0ms	333×	body	160	valid