Details

sample41.0ms

Algorithm

intervals

Results

17.0ms	117×	body	1280	valid
6.0ms	73×	body	640	valid
4.0ms	388×	pre	80	true
2.0ms	37×	body	320	valid
2.0ms	138×	body	80	valid
1.0ms	23×	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

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: 58.1b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

6.8b	(- (exp x) 1.0)

rewrite4.0ms

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:

4.0ms

(- (exp x) 1.0)

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(- (exp x) 1.0)

simplify57.0ms

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

prune38.0ms

Filtered

17 candidates to 12 candidates (70.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	15	2	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	16	2	18

Merged error: 0.0b

Counts

18 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

4.0ms	(+ (* x 1/6) 1/2)
8.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
4.0ms	(* x 1/6)

series114.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (* x 1/6) 1/2)
66.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
14.0ms	(* x 1/6)

simplify45.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	268	306
1	1344	270
2	5001	266

prune88.0ms

Filtered

69 candidates to 45 candidates (65.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	69	2	71

Merged error: 0.0b

Counts

71 → 2

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))
6.6b	(- (* (exp x) (exp x)) (* 1.0 1.0))

rewrite31.0ms

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:

4.0ms	(+ (exp x) 1.0)
11.0ms	(/ (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0))
6.0ms	(* (exp x) (exp x))
7.0ms	(- (* (exp x) (exp x)) (* 1.0 1.0))

series100.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+ (exp x) 1.0)
47.0ms	(/ (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0))
13.0ms	(* (exp x) (exp x))
29.0ms	(- (* (exp x) (exp x)) (* 1.0 1.0))

simplify57.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	376	824
1	1712	737
2	5001	719

prune155.0ms

Filtered

112 candidates to 78 candidates (69.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	112	2	114

Merged error: 0.0b

Counts

114 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (- (pow (exp x) 2) (* 1.0 1.0)) 3)
0.0b	(pow (exp x) 2)
0.1b	(cbrt (pow (- (pow (exp x) 2) (* 1.0 1.0)) 3))
6.6b	(- (pow (exp x) 2) (* 1.0 1.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
22×	`unpow-prod-down`
20×	`cbrt-prod` `difference-of-squares`
14×	`cube-prod`
13×	`add-cube-cbrt` `*-un-lft-identity`
8×	`sqr-pow`
6×	`pow1` `pow-unpow` `unpow2` `add-log-exp`
5×	`add-exp-log` `pow-pow` `add-cbrt-cube`
4×	`cube-div`
3×	`exp-prod` `flip3--` `flip--`
2×	`cube-mult` `pow-to-exp` `cbrt-div` `unpow3` `pow-exp`
1×	`sub-neg` `pow1/3` `diff-log` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 101

Calls

4 calls:

6.0ms	(pow (- (pow (exp x) 2) (* 1.0 1.0)) 3)
3.0ms	(pow (exp x) 2)
7.0ms	(cbrt (pow (- (pow (exp x) 2) (* 1.0 1.0)) 3))
5.0ms	(- (pow (exp x) 2) (* 1.0 1.0))

series126.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(pow (- (pow (exp x) 2) (* 1.0 1.0)) 3)
14.0ms	(pow (exp x) 2)
26.0ms	(cbrt (pow (- (pow (exp x) 2) (* 1.0 1.0)) 3))
29.0ms	(- (pow (exp x) 2) (* 1.0 1.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	364	722
1	1381	658
2	5002	649

prune165.0ms

Filtered

113 candidates to 63 candidates (55.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	113	2	115

Merged error: 0.0b

Counts

115 → 2

regimes26.0ms

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

506.0ms	3496×	body	1280	valid
213.0ms	2428×	body	640	valid
103.0ms	12009×	pre	80	true
68.0ms	1273×	body	320	valid
49.0ms	4196×	body	80	valid
21.0ms	616×	body	160	valid