Details

sample32.0ms

Algorithm

intervals

Results

11.0ms	69×	body	1280	valid
6.0ms	58×	body	640	valid
3.0ms	174×	body	80	valid
2.0ms	28×	body	320	valid
1.0ms	14×	body	160	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	13	3
2	15	3
3	15	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.6b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (exp x) 1.0) x)
3.6b	(- (exp x) 1.0)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

22.0ms	(/ (- (exp x) 1.0) x)
9.0ms	(- (exp x) 1.0)

series51.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ (- (exp x) 1.0) x)
13.0ms	(- (exp x) 1.0)

simplify73.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	222	329
1	625	311
2	2739	309
3	5001	309

prune108.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))
0.2b	(* 1/6 (pow x 2))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log` `add-log-exp`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `unswap-sqr`
3×	`associate-l` `prod-exp` `sum-log`
2×	`pow1` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `associate-+r+` `flip3-+` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 40

Calls

2 calls:

22.0ms	(+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))
11.0ms	(* 1/6 (pow x 2))

series40.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))
22.0ms	(* 1/6 (pow x 2))

simplify35.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	201	222
1	825	201
2	5001	198

prune79.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

2 → 40

Calls

2 calls:

14.0ms	(* x (+ 1/2 (* x 1/6)))
6.0ms	(* x 1/6)

series67.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(* x (+ 1/2 (* x 1/6)))
16.0ms	(* x 1/6)

simplify110.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	178	158
1	781	143
2	4248	143
3	5001	143

prune66.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (- (sqrt (exp x)) (sqrt 1.0)))
0.0b	(+ (sqrt (exp x)) (sqrt 1.0))
0.0b	(/ (+ (sqrt (exp x)) (sqrt 1.0)) (/ x (- (sqrt (exp x)) (sqrt 1.0))))
3.7b	(- (sqrt (exp x)) (sqrt 1.0))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

362×	`*-un-lft-identity`
354×	`times-frac`
314×	`add-sqr-sqrt`
208×	`sqrt-prod`
130×	`add-cube-cbrt`
92×	`difference-of-squares`
70×	`distribute-lft-out`
46×	`distribute-lft-out--`
42×	`associate-/r*`
15×	`associate-/r/`
11×	`add-exp-log` `add-cbrt-cube`
8×	`flip3--` `flip--` `div-inv` `associate-/l*` `add-log-exp`
4×	`pow1` `cbrt-undiv` `div-exp`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log`

Counts

4 → 304

Calls

4 calls:

24.0ms	(/ x (- (sqrt (exp x)) (sqrt 1.0)))
12.0ms	(+ (sqrt (exp x)) (sqrt 1.0))
64.0ms	(/ (+ (sqrt (exp x)) (sqrt 1.0)) (/ x (- (sqrt (exp x)) (sqrt 1.0))))
14.0ms	(- (sqrt (exp x)) (sqrt 1.0))

series308.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(/ x (- (sqrt (exp x)) (sqrt 1.0)))
32.0ms	(+ (sqrt (exp x)) (sqrt 1.0))
129.0ms	(/ (+ (sqrt (exp x)) (sqrt 1.0)) (/ x (- (sqrt (exp x)) (sqrt 1.0))))
39.0ms	(- (sqrt (exp x)) (sqrt 1.0))

simplify103.0ms

Algorithm

egg-herbie

Counts

316 → 316

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	697	5216
1	3499	4713
2	5001	4672

prune405.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes14.0ms

Accuracy

98.8% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 20.9b

bsearch30.0ms

Steps

Iters	Range		Point
9	-1500.694570789724	-8.340668492905662e-07	-0.00018533246565845013

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	14
1	26	14

end0.0ms

sample955.0ms

Algorithm

intervals

Results

393.0ms	2261×	body	1280	valid
197.0ms	1689×	body	640	valid
110.0ms	5412×	body	80	valid
61.0ms	837×	body	320	valid
20.0ms	430×	body	160	valid