Details

sample41.0ms

Algorithm

intervals

Results

14.0ms	95×	body	1280	valid
8.0ms	92×	body	640	valid
3.0ms	384×	pre	80	true
2.0ms	41×	body	320	valid
2.0ms	134×	body	80	valid
1.0ms	22×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	2
1	7	2
2	7	2

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize3.0ms

Local error

Found 1 expressions with local error:

7.0b	(- (exp x) 1.0)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 14

Calls

1 calls:

10.0ms

(- (exp x) 1.0)

series14.0ms

Counts

1 → 3

Calls

1 calls:

13.0ms

(- (exp x) 1.0)

simplify54.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	81	72
1	185	67
2	499	66
3	1399	66
4	5002	66

prune39.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
11×	`associate-l`
9×	`add-exp-log`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r` `add-cbrt-cube`
5×	`unswap-sqr`
4×	`pow1` `unpow-prod-down` `prod-exp`
2×	`associate-r/` `-commutative` `cbrt-unprod` `unpow2` `add-log-exp` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-prod-down` `pow-exp` `flip-+`

Counts

2 → 49

Calls

2 calls:

32.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
7.0ms	(* x 1/6)

series76.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
13.0ms	(* x 1/6)

simplify40.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	247	239
1	1168	216
2	5001	216

prune92.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) 1.0)
0.0b	(/ (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0))
0.0b	(* (exp x) (exp x))
7.0b	(- (* (exp x) (exp x)) (* 1.0 1.0))

rewrite95.0ms

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) 1.0)
51.0ms	(/ (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0))
16.0ms	(* (exp x) (exp x))
16.0ms	(- (* (exp x) (exp x)) (* 1.0 1.0))

series89.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ (exp x) 1.0)
43.0ms	(/ (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0))
12.0ms	(* (exp x) (exp x))
26.0ms	(- (* (exp x) (exp x)) (* 1.0 1.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (45.0ms)

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

prune159.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow (exp x) 2) (+ (exp x) 1.0))
0.0b	(/ (* 1.0 1.0) (+ (exp x) 1.0))
0.0b	(pow (exp x) 2)
7.0b	(- (/ (pow (exp x) 2) (+ (exp x) 1.0)) (/ (* 1.0 1.0) (+ (exp x) 1.0)))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt` `*-un-lft-identity`
49×	`times-frac`
28×	`add-cube-cbrt`
20×	`unpow-prod-down`
13×	`add-exp-log`
11×	`add-cbrt-cube` `distribute-lft-out`
10×	`difference-of-squares`
9×	`associate-/l*`
8×	`associate-/r*` `associate-/r/` `unpow2` `sqr-pow`
6×	`add-log-exp`
5×	`pow1` `div-exp`
4×	`pow-pow` `flip3-+` `flip-+` `div-inv`
3×	`cbrt-undiv` `pow-unpow` `exp-prod` `distribute-rgt-out--`
2×	`pow-to-exp` `frac-2neg` `pow-exp` `clear-num`
1×	`sub-neg` `flip3--` `diff-log` `prod-exp` `frac-sub` `flip--` `cbrt-unprod` `distribute-lft-out--` `sub-div`

Counts

4 → 134

Calls

4 calls:

20.0ms	(/ (pow (exp x) 2) (+ (exp x) 1.0))
20.0ms	(/ (* 1.0 1.0) (+ (exp x) 1.0))
4.0ms	(pow (exp x) 2)
122.0ms	(- (/ (pow (exp x) 2) (+ (exp x) 1.0)) (/ (* 1.0 1.0) (+ (exp x) 1.0)))

series152.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ (pow (exp x) 2) (+ (exp x) 1.0))
23.0ms	(/ (* 1.0 1.0) (+ (exp x) 1.0))
12.0ms	(pow (exp x) 2)
83.0ms	(- (/ (pow (exp x) 2) (+ (exp x) 1.0)) (/ (* 1.0 1.0) (+ (exp x) 1.0)))

simplify53.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	476	1293
1	1743	1193
2	5001	1188

prune206.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes60.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample1.1s

Algorithm

intervals

Results

472.0ms	3370×	body	1280	valid
213.0ms	2594×	body	640	valid
94.0ms	12037×	pre	80	true
65.0ms	1249×	body	320	valid
49.0ms	4211×	body	80	valid
20.0ms	613×	body	160	valid