Details

sample31.0ms

Algorithm

intervals

Results

12.0ms	69×	body	1280	valid
6.0ms	61×	body	640	valid
3.0ms	161×	body	80	valid
2.0ms	25×	body	320	valid
1.0ms	12×	body	160	valid

simplify6.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 40.6b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (exp x) 1.0) x)
4.4b	(- (exp x) 1.0)

rewrite11.0ms

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:

6.0ms	(/ (- (exp x) 1.0) x)
4.0ms	(- (exp x) 1.0)

series56.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ (- (exp x) 1.0) x)
14.0ms	(- (exp x) 1.0)

simplify76.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (18.0ms)

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

prune109.0ms

Filtered

58 candidates to 43 candidates (74.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	52	6	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	6	59

Merged error: 0.1b

Counts

59 → 6

localize8.0ms

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))

rewrite16.0ms

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:

10.0ms	(+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))
5.0ms	(* 1/6 (pow x 2))

series45.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))
25.0ms	(* 1/6 (pow x 2))

simplify37.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (33.0ms)

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

prune71.0ms

Filtered

46 candidates to 29 candidates (63.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	46	6	52

Merged error: 0.1b

Counts

52 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (exp x) x)
4.3b	(- (/ (exp x) x) (/ 1.0 x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

4.0ms	(/ (exp x) x)
12.0ms	(- (/ (exp x) x) (/ 1.0 x))

series72.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ (exp x) x)
46.0ms	(- (/ (exp x) x) (/ 1.0 x))

simplify70.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	215	317
1	591	300
2	2325	299
3	5001	297

prune94.0ms

Filtered

56 candidates to 45 candidates (80.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	56	6	62

Merged error: 0.1b

Counts

62 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0))
0.0b	(/ (/ (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0)) x)
0.0b	(* (exp x) (exp x))
4.3b	(- (* (exp x) (exp x)) (* 1.0 1.0))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

146×	`times-frac`
125×	`*-un-lft-identity`
85×	`add-sqr-sqrt`
83×	`add-cube-cbrt`
26×	`associate-/l*`
22×	`difference-of-squares`
21×	`distribute-lft-out`
18×	`exp-prod`
13×	`add-cbrt-cube`
11×	`pow1` `add-exp-log`
10×	`associate-/r/`
7×	`associate-/r*`
6×	`div-inv` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp` `pow-prod-down` `pow-sqr` `pow-prod-up`
3×	`div-sub` `swap-sqr` `associate-r` `associate-l` `associate-/l/`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`pow2` `sub-neg` `pow-plus` `diff-log` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 195

Calls

4 calls:

12.0ms	(/ (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0))
15.0ms	(/ (/ (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0)) x)
6.0ms	(* (exp x) (exp x))
6.0ms	(- (* (exp x) (exp x)) (* 1.0 1.0))

series168.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0))
81.0ms	(/ (/ (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0)) x)
13.0ms	(* (exp x) (exp x))
26.0ms	(- (* (exp x) (exp x)) (* 1.0 1.0))

simplify113.0ms

Algorithm

egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	723	2501
1	3607	2358
2	5001	2353

prune334.0ms

Filtered

207 candidates to 149 candidates (72.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	204	3	207
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	206	7	213

Merged error: 0.1b

Counts

213 → 7

regimes33.0ms

Accuracy

98.6% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 20.9b

bsearch30.0ms

Steps

Iters	Range		Point
8	-0.002595282603730271	-2.587228857819641e-07	-0.00014843984217390087

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	13
1	29	13

end0.0ms

sample871.0ms

Algorithm

intervals

Results

388.0ms	2326×	body	1280	valid
170.0ms	1649×	body	640	valid
103.0ms	5399×	body	80	valid
55.0ms	836×	body	320	valid
19.0ms	423×	body	160	valid