Details

sample76.0ms

Algorithm

intervals

Results

53.0ms	187×	body	1280	valid
6.0ms	273×	body	80	valid
6.0ms	38×	body	640	valid
1.0ms	13×	body	320	valid
1.0ms	11×	body	160	valid

simplify215.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	26	5
2	41	5
3	55	5
4	67	5
5	104	5
6	161	5
7	344	5
8	1454	5
9	5001	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
3.2b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`prod-diff`
16×	`add-cube-cbrt`
11×	`associate-+l+`
9×	`add-log-exp`
5×	`fma-def`
4×	`frac-add`
3×	`flip3--` `fma-neg` `flip--` `distribute-lft-out--`
2×	`pow1` `add-exp-log` `neg-sub0` `exp-neg` `expm1-log1p-u` `sub-neg` `exp-diff` `diff-log` `sum-log` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out` `difference-of-squares`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+`

Counts

2 → 65

Calls

2 calls:

5.0ms	(- (exp x) 2.0)
9.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series70.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(- (exp x) 2.0)
57.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify35.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	282	506
1	1008	381
2	5001	367

prune157.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
0.1b	(* 1/12 (pow x 4))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
7×	`add-exp-log` `associate-r`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube`
3×	`associate-l` `prod-exp` `unswap-sqr`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

2 → 37

Calls

2 calls:

1.0ms	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
5.0ms	(* 1/12 (pow x 4))

series157.0ms

Counts

2 → 6

Calls

2 calls:

119.0ms	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
38.0ms	(* 1/12 (pow x 4))

simplify86.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	123	177
1	469	163
2	2175	160
3	5002	160

prune108.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) 2.0)
0.0b	(* (+ (exp x) 2.0) (exp x))
0.0b	(/ (fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0)) (* (+ (exp x) 2.0) (exp x)))
2.9b	(fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

4.0ms	(+ (exp x) 2.0)
7.0ms	(* (+ (exp x) 2.0) (exp x))
8.0ms	(/ (fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0)) (* (+ (exp x) 2.0) (exp x)))
1.0ms	(fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0))

series337.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (exp x) 2.0)
22.0ms	(* (+ (exp x) 2.0) (exp x))
217.0ms	(/ (fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0)) (* (+ (exp x) 2.0) (exp x)))
89.0ms	(fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	312	834
1	1220	713
2	5002	710

prune253.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (+ (pow (exp x) 3) (- 2.0 (* 3.0 (exp x)))) (+ (exp x) 2.0)) (exp x))
0.1b	(- 2.0 (* 3.0 (exp x)))
0.1b	(pow (exp x) 3)
4.1b	(+ (pow (exp x) 3) (- 2.0 (* 3.0 (exp x))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

139×	`*-un-lft-identity`
130×	`times-frac`
73×	`add-sqr-sqrt` `add-cube-cbrt`
33×	`distribute-lft-out`
22×	`associate-/l*`
12×	`fma-def`
11×	`add-log-exp`
10×	`add-cbrt-cube`
8×	`associate-/r/`
7×	`add-exp-log`
6×	`unpow-prod-down` `cube-prod` `prod-diff`
5×	`pow1` `associate-+r+` `flip3-+` `flip-+` `div-inv`
4×	`expm1-log1p-u` `pow-pow` `log1p-expm1-u`
3×	`cbrt-undiv` `pow-unpow` `exp-prod` `fma-neg` `div-exp` `associate-/r*`
2×	`cube-mult` `associate-+r-` `sub-neg` `diff-log` `unpow3` `div-sub` `sum-log` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3--` `frac-2neg` `pow-exp` `clear-num` `flip--` `associate-/l/` `rem-cube-cbrt`

Counts

4 → 190

Calls

4 calls:

22.0ms	(/ (/ (+ (pow (exp x) 3) (- 2.0 (* 3.0 (exp x)))) (+ (exp x) 2.0)) (exp x))
3.0ms	(- 2.0 (* 3.0 (exp x)))
3.0ms	(pow (exp x) 3)
9.0ms	(+ (pow (exp x) 3) (- 2.0 (* 3.0 (exp x))))

series300.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(/ (/ (+ (pow (exp x) 3) (- 2.0 (* 3.0 (exp x)))) (+ (exp x) 2.0)) (exp x))
27.0ms	(- 2.0 (* 3.0 (exp x)))
23.0ms	(pow (exp x) 3)
74.0ms	(+ (pow (exp x) 3) (- 2.0 (* 3.0 (exp x))))

simplify134.0ms

Algorithm

egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 2 (107.0ms)

Iter	Nodes	Cost
0	724	2554
1	3855	2454
2	5001	2451

prune445.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes22.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.7s	5615×	body	1280	valid
200.0ms	1291×	body	640	valid
182.0ms	8064×	body	80	valid
57.0ms	622×	body	320	valid
18.0ms	303×	body	160	valid