Details

sample37.0ms

Algorithm

intervals

Results

13.0ms	73×	body	1280	valid
6.0ms	54×	body	640	valid
5.0ms	88×	body	80	overflowed
2.0ms	89×	body	80	valid
2.0ms	26×	body	320	valid
1.0ms	14×	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: 41.3b

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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:

8.0ms	(/ (exp x) (- (exp x) 1.0))
4.0ms	(- (exp x) 1.0)

series41.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (exp x) (- (exp x) 1.0))
15.0ms	(- (exp x) 1.0)

simplify71.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (16.0ms)

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

prune122.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

11.0ms	(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
13.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
3.0ms	(* x 1/6)

series128.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
68.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
14.0ms	(* x 1/6)

simplify62.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	401	620
1	1835	574
2	5001	572

prune195.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
18×	`exp-prod`
16×	`times-frac`
11×	`pow1`
8×	`add-cbrt-cube` `add-log-exp`
6×	`add-exp-log` `distribute-lft-out` `difference-of-squares`
4×	`pow-prod-down` `associate-/r` `pow-sqr` `pow-prod-up` `associate-/l`
3×	`swap-sqr` `associate-r` `associate-l`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `pow2` `sub-neg` `frac-2neg` `pow-plus` `diff-log` `div-sub` `div-exp` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 100

Calls

4 calls:

8.0ms	(* (exp x) (exp x))
24.0ms	(/ (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0))
4.0ms	(+ (exp x) 1.0)
7.0ms	(- (* (exp x) (exp x)) (* 1.0 1.0))

series101.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (exp x) (exp x))
49.0ms	(/ (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0))
8.0ms	(+ (exp x) 1.0)
31.0ms	(- (* (exp x) (exp x)) (* 1.0 1.0))

simplify63.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	376	823
1	1712	737
2	5001	719

prune223.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp x) (/ (- (exp (* 2 x)) (* 1.0 1.0)) (+ (exp x) 1.0)))
0.0b	(/ (- (exp (* 2 x)) (* 1.0 1.0)) (+ (exp x) 1.0))
0.0b	(+ (exp x) 1.0)
3.1b	(- (exp (* 2 x)) (* 1.0 1.0))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

146×	`times-frac`
117×	`*-un-lft-identity`
95×	`add-sqr-sqrt`
73×	`add-cube-cbrt`
26×	`associate-/r*`
22×	`distribute-lft-out` `difference-of-squares`
11×	`associate-/r/` `add-cbrt-cube`
9×	`add-exp-log`
8×	`add-log-exp`
7×	`associate-/l*`
6×	`flip3-+` `flip-+` `div-inv`
4×	`pow1` `cbrt-undiv` `div-exp`
2×	`flip3--` `frac-2neg` `clear-num` `flip--` `associate-/l/`
1×	`+-commutative` `sub-neg` `diff-log` `div-sub` `sum-log`

Counts

4 → 172

Calls

4 calls:

15.0ms	(/ (exp x) (/ (- (exp (* 2 x)) (* 1.0 1.0)) (+ (exp x) 1.0)))
13.0ms	(/ (- (exp (* 2 x)) (* 1.0 1.0)) (+ (exp x) 1.0))
4.0ms	(+ (exp x) 1.0)
3.0ms	(- (exp (* 2 x)) (* 1.0 1.0))

series122.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ (exp x) (/ (- (exp (* 2 x)) (* 1.0 1.0)) (+ (exp x) 1.0)))
43.0ms	(/ (- (exp (* 2 x)) (* 1.0 1.0)) (+ (exp x) 1.0))
8.0ms	(+ (exp x) 1.0)
18.0ms	(- (exp (* 2 x)) (* 1.0 1.0))

simplify90.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	647	2545
1	2884	2437
2	5002	2432

prune435.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes22.0ms

Accuracy

0% (0.6b remaining)

Error of 1.0b against oracle of 0.4b 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

sample948.0ms

Algorithm

intervals

Results

410.0ms	2229×	body	1280	valid
201.0ms	1721×	body	640	valid
61.0ms	2880×	body	80	valid
58.0ms	778×	body	320	valid
50.0ms	2550×	body	80	overflowed
19.0ms	394×	body	160	valid