Details

sample213.0ms

Algorithm

intervals

Results

78.0ms	77×	body	2560	valid
57.0ms	116×	body	1280	valid
44.0ms	54×	body	10240	exit
10.0ms	37×	body	640	valid
5.0ms	310×	pre	80	true
1.0ms	7×	body	320	valid
1.0ms	19×	body	80	valid

simplify105.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	40	13
1	101	13
2	258	13
3	766	13
4	3895	13
5	5001	13

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.4b

localize19.0ms

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)))
3.6b	(- (exp (* a eps)) 1.0)
4.8b	(- (exp (* b eps)) 1.0)
7.6b	(- (exp (* (+ a b) eps)) 1.0)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`prod-diff`
25×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
10×	`flip3--` `flip--` `add-log-exp`
9×	`fma-neg`
8×	`associate-/r/`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-times` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
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 → 117

Calls

4 calls:

21.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
5.0ms	(- (exp (* a eps)) 1.0)
5.0ms	(- (exp (* b eps)) 1.0)
5.0ms	(- (exp (* (+ a b) eps)) 1.0)

series312.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
33.0ms	(- (exp (* a eps)) 1.0)
30.0ms	(- (exp (* b eps)) 1.0)
50.0ms	(- (exp (* (+ a b) eps)) 1.0)

simplify75.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	608	1462
1	2778	1079
2	5002	1072

prune441.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
15×	`times-frac`
13×	`fma-def`
10×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`distribute-lft-out`
5×	`div-inv`
3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `flip3-+` `frac-add` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u`

Counts

1 → 34

Calls

1 calls:

16.0ms

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

series11.0ms

Counts

1 → 3

Calls

1 calls:

11.0ms

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

simplify71.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	107	112
1	368	101
2	1274	98
3	3144	98
4	5001	98

prune90.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

15.0b

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

rewrite10.0ms

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` `expm1-log1p-u` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 27

Calls

1 calls:

9.0ms

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

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify50.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	149	142
1	531	120
2	2110	120
3	5001	120

prune64.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ b a) b)
4.6b	(/ (/ (+ b a) b) a)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
92×	`*-un-lft-identity`
60×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`associate-/l*`
16×	`distribute-lft-out`
9×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r*` `div-inv`
4×	`cbrt-undiv` `div-exp`
3×	`associate-/l/`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`flip3-+` `flip-+`

Counts

2 → 119

Calls

2 calls:

8.0ms	(/ (+ b a) b)
12.0ms	(/ (/ (+ b a) b) a)

series62.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(/ (+ b a) b)
39.0ms	(/ (/ (+ b a) b) a)

simplify39.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	379	826
1	1325	792
2	5001	791

prune216.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes95.0ms

Accuracy

-47% (4.7b remaining)

Error of 4.8b against oracle of 0.1b and baseline of 3.3b

bsearch89.0ms

Steps

Iters	Range		Point
5	1.9693570888132737e-31	5.4209506770775015e-31	5.3360736243582115e-31

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	20
1	36	20

end0.0ms

sample6.9s

Algorithm

intervals

Results

2.5s	2586×	body	2560	valid
1.8s	2020×	body	10240	exit
1.7s	3407×	body	1280	valid
305.0ms	1098×	body	640	valid
158.0ms	10022×	pre	80	true
65.0ms	345×	body	320	valid
23.0ms	437×	body	80	valid
15.0ms	129×	body	160	valid