Details

sample75.0ms

Algorithm

intervals

Results

36.0ms	140×	body	10240	exit
12.0ms	210×	body	80	valid
8.0ms	132×	body	80	overflowed
3.0ms	21×	body	320	valid
2.0ms	10×	body	640	valid
2.0ms	17×	body	160	valid

simplify46.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	20	9
1	48	9
2	107	9
3	224	8
4	1514	8
5	5001	8

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.3b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ wj 1))
0.0b	(/ wj (+ wj 1))
0.0b	(/ (/ x (+ wj 1)) (exp wj))
5.0b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite370.0ms

Algorithm

rewrite-expression-head

Rules

127×	`times-frac`
118×	`*-un-lft-identity`
78×	`add-sqr-sqrt`
73×	`add-cube-cbrt`
24×	`associate-/l*`
21×	`distribute-lft-out`
13×	`add-cbrt-cube`
12×	`associate-/r/`
11×	`add-exp-log` `associate-/r*`
9×	`add-log-exp`
7×	`flip3-+` `flip-+` `div-inv`
5×	`cbrt-undiv` `div-exp`
4×	`pow1`
3×	`frac-2neg` `clear-num`
2×	`diff-log` `frac-sub` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--` `associate-/l/`

Counts

4 → 176

Calls

4 calls:

5.0ms	(/ x (+ wj 1))
5.0ms	(/ wj (+ wj 1))
12.0ms	(/ (/ x (+ wj 1)) (exp wj))
339.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series143.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ x (+ wj 1))
22.0ms	(/ wj (+ wj 1))
43.0ms	(/ (/ x (+ wj 1)) (exp wj))
55.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify77.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	721	1524
1	3303	1471
2	5001	1469

prune437.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (pow wj 2))
0.0b	(* 2 (* wj x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`*-un-lft-identity`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `distribute-lft-out`

Counts

2 → 30

Calls

2 calls:

4.0ms	(+ x (pow wj 2))
6.0ms	(* 2 (* wj x))

series49.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ x (pow wj 2))
20.0ms	(* 2 (* wj x))

simplify68.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	149	122
1	550	108
2	2362	107
3	5001	107

prune77.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ wj (- (* wj wj) 1)) (- wj 1))
0.0b	(/ x (+ wj 1))
0.0b	(/ (/ x (+ wj 1)) (exp wj))
5.0b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (* (/ wj (- (* wj wj) 1)) (- wj 1)))

rewrite386.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 206

Calls

4 calls:

27.0ms	(* (/ wj (- (* wj wj) 1)) (- wj 1))
5.0ms	(/ x (+ wj 1))
13.0ms	(/ (/ x (+ wj 1)) (exp wj))
331.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (* (/ wj (- (* wj wj) 1)) (- wj 1)))

series192.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (/ wj (- (* wj wj) 1)) (- wj 1))
23.0ms	(/ x (+ wj 1))
42.0ms	(/ (/ x (+ wj 1)) (exp wj))
89.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (* (/ wj (- (* wj wj) 1)) (- wj 1)))

simplify50.0ms

Algorithm

egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1041	2170
1	5001	2090

prune752.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ wj (- (* wj wj) 1)) (- wj 1))
0.0b	(* (/ x (+ (pow wj 3) 1)) (+ (* wj wj) (- (* 1 1) (* wj 1))))
0.0b	(/ (* (/ x (+ (pow wj 3) 1)) (+ (* wj wj) (- (* 1 1) (* wj 1)))) (exp wj))
5.0b	(- (+ (/ (* (/ x (+ (pow wj 3) 1)) (+ (* wj wj) (- (* 1 1) (* wj 1)))) (exp wj)) wj) (* (/ wj (- (* wj wj) 1)) (- wj 1)))

rewrite339.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 154

Calls

4 calls:

27.0ms	(* (/ wj (- (* wj wj) 1)) (- wj 1))
65.0ms	(* (/ x (+ (pow wj 3) 1)) (+ (* wj wj) (- (* 1 1) (* wj 1))))
21.0ms	(/ (* (/ x (+ (pow wj 3) 1)) (+ (* wj wj) (- (* 1 1) (* wj 1)))) (exp wj))
220.0ms	(- (+ (/ (* (/ x (+ (pow wj 3) 1)) (+ (* wj wj) (- (* 1 1) (* wj 1)))) (exp wj)) wj) (* (/ wj (- (* wj wj) 1)) (- wj 1)))

series405.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (/ wj (- (* wj wj) 1)) (- wj 1))
69.0ms	(* (/ x (+ (pow wj 3) 1)) (+ (* wj wj) (- (* 1 1) (* wj 1))))
90.0ms	(/ (* (/ x (+ (pow wj 3) 1)) (+ (* wj wj) (- (* 1 1) (* wj 1)))) (exp wj))
207.0ms	(- (+ (/ (* (/ x (+ (pow wj 3) 1)) (+ (* wj wj) (- (* 1 1) (* wj 1)))) (exp wj)) wj) (* (/ wj (- (* wj wj) 1)) (- wj 1)))

simplify51.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1124	2599
1	5001	2392

prune573.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

regimes90.0ms

Accuracy

63.7% (0.7b remaining)

Error of 1.0b against oracle of 0.3b and baseline of 2.2b

bsearch49.0ms

Steps

Iters	Range		Point
9	2.2219667061302788e-13	6.752722029277837e-06	6.381542263961784e-09

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	16
1	31	16

end0.0ms

sample2.1s

Algorithm

intervals

Results

975.0ms	3680×	body	10240	exit
354.0ms	6317×	body	80	valid
213.0ms	3734×	body	80	overflowed
112.0ms	769×	body	320	valid
88.0ms	422×	body	640	valid
56.0ms	557×	body	160	valid