Details

sample73.0ms

Algorithm

intervals

Results

30.0ms	98×	body	1280	valid
16.0ms	80×	body	640	valid
10.0ms	258×	body	80	valid
5.0ms	45×	body	320	valid
1.0ms	17×	body	160	valid

simplify219.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	23	5
2	31	5
3	36	5
4	41	5
5	65	5
6	103	5
7	250	5
8	1252	5
9	5001	5

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: 56.8b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

5.9b	(- (exp x) (exp (- x)))

rewrite5.0ms

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:

5.0ms

(- (exp x) (exp (- x)))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(- (exp x) (exp (- x)))

simplify587.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	100	120
1	257	108
2	763	107
3	4896	105
4	5001	105

prune49.0ms

Filtered

17 candidates to 14 candidates (82.4%)

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: 0.0b

Counts

18 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1/60 (pow x 5)) (* 2 x))
0.1b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
19×	`associate-r`
13×	`add-exp-log`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down`
7×	`add-cbrt-cube` `unswap-sqr`
6×	`associate-l` `prod-exp`
5×	`add-log-exp`
4×	`cube-prod` `sqr-pow`
3×	`pow1`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `flip3-+` `unpow3` `sum-log` `flip-+`

Counts

3 → 67

Calls

3 calls:

5.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
5.0ms	(* 1/60 (pow x 5))
6.0ms	(* 1/3 (pow x 3))

series222.0ms

Counts

3 → 9

Calls

3 calls:

133.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
49.0ms	(* 1/60 (pow x 5))
40.0ms	(* 1/3 (pow x 3))

simplify43.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	281	301
1	1179	277
2	5002	276

prune149.0ms

Filtered

76 candidates to 48 candidates (63.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	76	3	79

Merged error: 0.0b

Counts

79 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (exp x) (- (exp x) (pow (exp x) -3))) (+ (exp x) (exp (- x))))
0.0b	(* (exp x) (- (exp x) (pow (exp x) -3)))
0.1b	(pow (exp x) -3)
5.9b	(- (exp x) (pow (exp x) -3))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
11×	`add-cube-cbrt` `add-cbrt-cube`
9×	`add-exp-log`
7×	`pow1` `associate-r`
6×	`add-log-exp` `difference-of-squares`
5×	`unpow-prod-down`
4×	`pow-pow` `times-frac` `associate-r/` `associate-/r`
3×	`sub-neg` `pow-unpow` `exp-prod` `flip3--` `associate-l` `flip--` `sqr-pow`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `distribute-lft-out` `distribute-lft-out--`
1×	`pow-to-exp` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `pow-exp` `clear-num` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

14.0ms	(/ (* (exp x) (- (exp x) (pow (exp x) -3))) (+ (exp x) (exp (- x))))
12.0ms	(* (exp x) (- (exp x) (pow (exp x) -3)))
3.0ms	(pow (exp x) -3)
6.0ms	(- (exp x) (pow (exp x) -3))

series292.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(/ (* (exp x) (- (exp x) (pow (exp x) -3))) (+ (exp x) (exp (- x))))
87.0ms	(* (exp x) (- (exp x) (pow (exp x) -3)))
31.0ms	(pow (exp x) -3)
45.0ms	(- (exp x) (pow (exp x) -3))

simplify64.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	420	894
1	2061	790
2	5001	787

prune210.0ms

Filtered

103 candidates to 73 candidates (70.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	103	3	106

Merged error: 0.0b

Counts

106 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(/ (* (exp x) (- (exp x) (exp (* x -3)))) (+ (exp x) (exp (- x))))
0.0b	(* (exp x) (- (exp x) (exp (* x -3))))
5.9b	(- (exp x) (exp (* x -3)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
11×	`add-cbrt-cube`
9×	`add-exp-log`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1`
5×	`associate-r`
4×	`times-frac` `associate-r/` `associate-/r`
3×	`sub-neg` `flip3--` `associate-l` `flip--` `distribute-lft-out`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

4.0ms	(+ (exp x) (exp (- x)))
13.0ms	(/ (* (exp x) (- (exp x) (exp (* x -3)))) (+ (exp x) (exp (- x))))
8.0ms	(* (exp x) (- (exp x) (exp (* x -3))))
5.0ms	(- (exp x) (exp (* x -3)))

series200.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (exp x) (exp (- x)))
97.0ms	(/ (* (exp x) (- (exp x) (exp (* x -3)))) (+ (exp x) (exp (- x))))
59.0ms	(* (exp x) (- (exp x) (exp (* x -3))))
20.0ms	(- (exp x) (exp (* x -3)))

simplify53.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	374	876
1	1684	761
2	5001	756

prune195.0ms

Filtered

91 candidates to 66 candidates (72.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	90	4	94

Merged error: 0b

Counts

94 → 4

regimes41.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	8
1	20	8

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.0s	3317×	body	1280	valid
474.0ms	2482×	body	640	valid
238.0ms	8030×	body	80	valid
149.0ms	1251×	body	320	valid
51.0ms	652×	body	160	valid