Details

sample47.0ms

Algorithm

intervals

Results

19.0ms	120×	body	1280	valid
8.0ms	79×	body	640	valid
7.0ms	389×	pre	80	true
2.0ms	142×	body	80	valid
2.0ms	29×	body	320	valid
1.0ms	19×	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: 57.8b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

5.4b	(- (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)

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

(- (exp x) 1.0)

simplify54.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (7.0ms)

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

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	14	3	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	15	3	18

Merged error: 0.1b

Counts

18 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.4b	(* x 1/6)

rewrite12.0ms

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:

7.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
3.0ms	(* x 1/6)

series77.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
13.0ms	(* x 1/6)

simplify42.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (9.0ms)

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

prune73.0ms

Filtered

55 candidates to 35 candidates (63.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	55	3	58

Merged error: 0.1b

Counts

58 → 3

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))
5.4b	(- (* (exp x) (exp x)) (* 1.0 1.0))

rewrite30.0ms

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))
6.0ms	(- (* (exp x) (exp x)) (* 1.0 1.0))

series96.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (exp x) 1.0)
47.0ms	(/ (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0))
13.0ms	(* (exp x) (exp x))
28.0ms	(- (* (exp x) (exp x)) (* 1.0 1.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (46.0ms)

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

prune164.0ms

Filtered

112 candidates to 78 candidates (69.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	0	1	1
Picked	0	1	1
Done	1	0	1
Total	111	4	115

Merged error: 0.1b

Counts

115 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 0.16666666666666663 (pow x 3)) (* 1.0 x))
0.0b	(* 0.5 (pow x 2))
0.0b	(+ (* 0.5 (pow x 2)) (+ (* 0.16666666666666663 (pow x 3)) (* 1.0 x)))
0.1b	(* 0.16666666666666663 (pow x 3))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
20×	`associate-r`
14×	`add-exp-log`
11×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
8×	`unpow-prod-down` `add-cbrt-cube` `unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`pow1` `cube-prod` `sum-log` `sqr-pow`
2×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+` `unpow2`
1×	`cube-mult` `associate-+r+` `unpow3`

Counts

4 → 82

Calls

4 calls:

4.0ms	(+ (* 0.16666666666666663 (pow x 3)) (* 1.0 x))
5.0ms	(* 0.5 (pow x 2))
7.0ms	(+ (* 0.5 (pow x 2)) (+ (* 0.16666666666666663 (pow x 3)) (* 1.0 x)))
6.0ms	(* 0.16666666666666663 (pow x 3))

series184.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(+ (* 0.16666666666666663 (pow x 3)) (* 1.0 x))
26.0ms	(* 0.5 (pow x 2))
31.0ms	(+ (* 0.5 (pow x 2)) (+ (* 0.16666666666666663 (pow x 3)) (* 1.0 x)))
38.0ms	(* 0.16666666666666663 (pow x 3))

simplify55.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	360	476
1	1612	432
2	5002	427

prune146.0ms

Filtered

94 candidates to 58 candidates (61.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	92	6	98

Merged error: 0.1b

Counts

98 → 6

regimes81.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

543.0ms	3520×	body	1280	valid
233.0ms	2419×	body	640	valid
128.0ms	11936×	pre	80	true
74.0ms	1231×	body	320	valid
60.0ms	4145×	body	80	valid
26.0ms	621×	body	160	valid