Details

sample66.0ms

Algorithm

intervals

Results

33.0ms	108×	body	1280	valid
11.0ms	71×	body	640	valid
6.0ms	284×	body	80	valid
4.0ms	36×	body	320	valid
2.0ms	29×	body	160	valid

simplify225.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	23	5
2	31	5
3	36	5
4	41	5
5	65	5
6	108	5
7	267	5
8	1342	5
9	5001	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 56.8b

localize6.0ms

Local error

Found 1 expressions with local error:

7.6b	(- (exp x) (exp (- x)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff`
8×	`add-cube-cbrt`
3×	`fma-neg` `add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 28

Calls

1 calls:

5.0ms

(- (exp x) (exp (- x)))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(- (exp x) (exp (- x)))

simplify113.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (109.0ms)

Iter	Nodes	Cost
0	158	354
1	416	228
2	2421	226
3	5002	203

prune65.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

simplify32.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	49	89
1	150	78
2	862	78
3	5001	78

prune40.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.1b	(pow (exp x) -2)
0.2b	(/ (fma (- 1) (pow (exp x) -2) (exp (+ x x))) (+ (exp x) (exp (- x))))
7.5b	(fma (- 1) (pow (exp x) -2) (exp (+ x x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
17×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`pow1` `distribute-lft-out`
4×	`expm1-log1p-u` `pow-pow` `associate-/r*` `log1p-expm1-u`
3×	`unpow-prod-down` `pow-unpow` `exp-prod` `fma-def` `associate-/l*`
2×	`flip3-+` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `frac-2neg` `div-exp` `pow-exp` `clear-num` `sum-log` `fma-udef` `div-inv` `sqr-pow`

Counts

4 → 84

Calls

4 calls:

5.0ms	(+ (exp x) (exp (- x)))
3.0ms	(pow (exp x) -2)
6.0ms	(/ (fma (- 1) (pow (exp x) -2) (exp (+ x x))) (+ (exp x) (exp (- x))))
1.0ms	(fma (- 1) (pow (exp x) -2) (exp (+ x x)))

series226.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp x) (exp (- x)))
23.0ms	(pow (exp x) -2)
110.0ms	(/ (fma (- 1) (pow (exp x) -2) (exp (+ x x))) (+ (exp x) (exp (- x))))
71.0ms	(fma (- 1) (pow (exp x) -2) (exp (+ x x)))

simplify47.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	328	934
1	1277	846
2	5002	813

prune272.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (exp x) -2)
0.2b	(/ (fma (- 1) (pow (exp x) -2) (exp (+ x x))) (+ (exp x) (exp (- x))))
7.5b	(fma (- 1) (pow (exp x) -2) (exp (+ x x)))
7.5b	(log (exp (/ (fma (- 1) (pow (exp x) -2) (exp (+ x x))) (+ (exp x) (exp (- x))))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
25×	`add-sqr-sqrt` `add-cube-cbrt`
24×	`times-frac`
21×	`exp-prod`
19×	`log-pow`
7×	`distribute-lft-out`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `pow-pow` `associate-/r*` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `log-prod` `associate-/l*`
2×	`flip3-+` `flip-+` `div-inv`
1×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `div-exp` `rem-log-exp` `pow-exp` `clear-num` `fma-udef` `sqr-pow`

Counts

4 → 99

Calls

4 calls:

4.0ms	(pow (exp x) -2)
7.0ms	(/ (fma (- 1) (pow (exp x) -2) (exp (+ x x))) (+ (exp x) (exp (- x))))
1.0ms	(fma (- 1) (pow (exp x) -2) (exp (+ x x)))
8.0ms	(log (exp (/ (fma (- 1) (pow (exp x) -2) (exp (+ x x))) (+ (exp x) (exp (- x))))))

series321.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(pow (exp x) -2)
111.0ms	(/ (fma (- 1) (pow (exp x) -2) (exp (+ x x))) (+ (exp x) (exp (- x))))
73.0ms	(fma (- 1) (pow (exp x) -2) (exp (+ x x)))
114.0ms	(log (exp (/ (fma (- 1) (pow (exp x) -2) (exp (+ x x))) (+ (exp x) (exp (- x))))))

simplify44.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	342	1302
1	1179	1194
2	5001	1157

prune351.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes62.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample1.9s

Algorithm

intervals

Results

914.0ms	3318×	body	1280	valid
420.0ms	2507×	body	640	valid
188.0ms	8098×	body	80	valid
122.0ms	1239×	body	320	valid
40.0ms	647×	body	160	valid