Details

sample204.0ms

Algorithm

intervals

Results

79.0ms	85×	body	2560	valid
50.0ms	108×	body	1280	valid
43.0ms	48×	body	10240	exit
7.0ms	26×	body	640	valid
5.0ms	304×	pre	80	true
3.0ms	14×	body	320	valid
1.0ms	18×	body	80	valid
1.0ms	5×	body	160	valid

simplify97.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	40	13
1	101	13
2	245	13
3	697	13
4	3463	13
5	5001	13

prune4.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
2.7b	(- (exp (* a eps)) 1.0)
3.5b	(- (exp (* b eps)) 1.0)
4.1b	(- (exp (* (+ a b) eps)) 1.0)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

16.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
4.0ms	(- (exp (* a eps)) 1.0)
4.0ms	(- (exp (* b eps)) 1.0)
4.0ms	(- (exp (* (+ a b) eps)) 1.0)

series320.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
40.0ms	(- (exp (* a eps)) 1.0)
32.0ms	(- (exp (* b eps)) 1.0)
51.0ms	(- (exp (* (+ a b) eps)) 1.0)

simplify59.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	488	957
1	2299	794
2	5001	789

prune329.0ms

Filtered

85 candidates to 63 candidates (74.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (/ 1 b) (/ 1 a))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
7×	`distribute-lft-out`
6×	`times-frac`
4×	`div-inv`
3×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `flip3-+` `frac-add` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 19

Calls

1 calls:

15.0ms

(+ (/ 1 b) (/ 1 a))

series11.0ms

Counts

1 → 3

Calls

1 calls:

11.0ms

(+ (/ 1 b) (/ 1 a))

simplify64.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 3 (26.0ms)

Iter	Nodes	Cost
0	101	104
1	345	94
2	1153	91
3	2775	90
4	5001	90

prune49.0ms

Filtered

22 candidates to 14 candidates (63.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize5.0ms

Local error

Found 1 expressions with local error:

15.0b

(/ (+ b a) (* b a))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
4×	`times-frac` `associate-/l*`
3×	`add-sqr-sqrt` `add-cube-cbrt`
2×	`cbrt-undiv` `div-exp` `associate-/l/` `distribute-lft-out`
1×	`pow1` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 25

Calls

1 calls:

12.0ms

(/ (+ b a) (* b a))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(/ (+ b a) (* b a))

simplify47.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	145	134
1	519	113
2	2023	113
3	5001	113

prune58.0ms

Filtered

28 candidates to 19 candidates (67.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ b a) a)
6.5b	(* (/ 1 b) (/ (+ b a) a))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
40×	`times-frac`
26×	`add-exp-log` `add-cube-cbrt`
16×	`associate-r` `add-cbrt-cube`
13×	`associate-l`
9×	`div-exp`
8×	`prod-exp`
7×	`distribute-lft-out`
6×	`unswap-sqr`
5×	`cbrt-undiv`
4×	`pow1` `cbrt-unprod` `associate-/l*`
3×	`associate-/r*` `div-inv`
2×	`rec-exp` `1-exp` `associate-/l/` `add-log-exp`
1×	`frac-times` `frac-2neg` `flip3-+` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `flip-+`

Counts

2 → 92

Calls

2 calls:

10.0ms	(/ (+ b a) a)
19.0ms	(* (/ 1 b) (/ (+ b a) a))

series52.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(/ (+ b a) a)
35.0ms	(* (/ 1 b) (/ (+ b a) a))

simplify45.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	396	543
1	2015	473
2	5001	465

prune162.0ms

Filtered

98 candidates to 65 candidates (66.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.2b

regimes152.0ms

Accuracy

93.9% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 3.4b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	47
1	54	47
2	54	47

end0.0ms

sample6.6s

Algorithm

intervals

Results

2.5s	2604×	body	2560	valid
1.7s	1968×	body	10240	exit
1.6s	3383×	body	1280	valid
271.0ms	1033×	body	640	valid
161.0ms	9970×	pre	80	true
65.0ms	374×	body	320	valid
24.0ms	463×	body	80	valid
17.0ms	145×	body	160	valid