Details

sample39.0ms

Algorithm

intervals

Results

12.0ms	69×	body	1280	valid
7.0ms	72×	body	10240	exit
7.0ms	68×	body	640	valid
2.0ms	27×	body	320	valid
2.0ms	82×	body	80	valid
0.0ms	10×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	4
1	8	4
2	8	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.6b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (exp x) (- (exp x) 1.0))
3.1b	(- (exp x) 1.0)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

2 → 51

Calls

2 calls:

22.0ms	(/ (exp x) (- (exp x) 1.0))
10.0ms	(- (exp x) 1.0)

series43.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ (exp x) (- (exp x) 1.0))
15.0ms	(- (exp x) 1.0)

simplify68.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	180	378
1	542	357
2	2210	354
3	5001	354

prune121.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
0.0b	(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
0.1b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.3b	(* x 1/6)

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log`
11×	`associate-l`
10×	`add-cbrt-cube`
9×	`times-frac`
6×	`pow1` `associate-r` `add-log-exp`
5×	`unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
3×	`flip3-+` `associate-/r` `flip-+` `associate-/l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-r/` `associate-/r/` `-commutative` `cbrt-unprod` `unpow2` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `frac-2neg` `div-exp` `pow-prod-down` `pow-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 91

Calls

4 calls:

16.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
29.0ms	(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
31.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
8.0ms	(* x 1/6)

series154.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
40.0ms	(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
69.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
15.0ms	(* x 1/6)

simplify60.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	429	756
1	2075	688
2	5001	686

prune221.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1/12 x) (/ 1 x))
0.3b	(* 1/12 x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 29

Calls

2 calls:

12.0ms	(+ (* 1/12 x) (/ 1 x))
7.0ms	(* 1/12 x)

series58.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (* 1/12 x) (/ 1 x))
17.0ms	(* 1/12 x)

simplify66.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	130	119
1	448	110
2	2305	109
3	5001	109

prune55.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (/ 1 x) 3)
0.3b	(* 1/12 x)
0.4b	(* 1/144 (* x x))
41.5b	(/ (+ (pow (* 1/12 x) 3) (pow (/ 1 x) 3)) (+ (* (/ 1 x) (/ 1 x)) (- (* 1/144 (* x x)) 1/12)))

rewrite228.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
35×	`add-sqr-sqrt`
33×	`times-frac`
32×	`add-cube-cbrt`
18×	`add-exp-log`
16×	`add-cbrt-cube`
13×	`pow1` `unpow-prod-down` `cube-prod`
10×	`associate-/r/`
8×	`frac-add`
6×	`associate-l`
5×	`associate-/l*`
4×	`flip3--` `associate-r` `pow-prod-down` `pow-exp` `prod-exp` `sum-cubes` `flip--` `cbrt-unprod` `distribute-lft-out` `add-log-exp`
3×	`pow-unpow` `pow-pow` `div-exp` `associate-/r*` `div-inv`
2×	`cbrt-undiv` `frac-times` `flip3-+` `associate-r/` `associate-l/` `un-div-inv` `*-commutative` `flip-+` `associate-/l/` `rem-cube-cbrt` `unswap-sqr`
1×	`cube-div` `cube-mult` `pow-to-exp` `rec-exp` `pow-flip` `frac-2neg` `1-exp` `unpow3` `clear-num` `inv-pow` `sqr-pow`

Counts

4 → 134

Calls

4 calls:

7.0ms	(pow (/ 1 x) 3)
7.0ms	(* 1/12 x)
17.0ms	(* 1/144 (* x x))
192.0ms	(/ (+ (pow (* 1/12 x) 3) (pow (/ 1 x) 3)) (+ (* (/ 1 x) (/ 1 x)) (- (* 1/144 (* x x)) 1/12)))

series270.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(pow (/ 1 x) 3)
14.0ms	(* 1/12 x)
31.0ms	(* 1/144 (* x x))
190.0ms	(/ (+ (pow (* 1/12 x) 3) (pow (/ 1 x) 3)) (+ (* (/ 1 x) (/ 1 x)) (- (* 1/144 (* x x)) 1/12)))

simplify138.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (125.0ms)

Iter	Nodes	Cost
0	710	1337
1	3773	1174
2	5002	1170

prune286.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes35.0ms

Accuracy

0% (0.4b remaining)

Error of 1.0b against oracle of 0.5b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

395.0ms	2245×	body	1280	valid
258.0ms	2527×	body	10240	exit
171.0ms	1642×	body	640	valid
61.0ms	877×	body	320	valid
53.0ms	2824×	body	80	valid
18.0ms	412×	body	160	valid