Details

sample48.0ms

Algorithm

intervals

Results

20.0ms	97×	body	5120	exit
7.0ms	201×	body	80	valid
3.0ms	103×	body	80	overflowed
3.0ms	25×	body	320	valid
2.0ms	24×	body	160	valid
1.0ms	8×	body	640	valid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (6.0ms)

Iter	Nodes	Cost
0	20	9
1	48	9
2	107	9
3	224	8
4	1514	8
5	5002	8

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 12.7b

Counts

2 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ wj (+ wj 1))
0.0b	(/ x (+ wj 1))
0.0b	(/ (/ x (+ wj 1)) (exp wj))
5.6b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite60.0ms

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	(/ wj (+ wj 1))
5.0ms	(/ x (+ wj 1))
10.0ms	(/ (/ x (+ wj 1)) (exp wj))
32.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series147.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ wj (+ wj 1))
26.0ms	(/ x (+ wj 1))
40.0ms	(/ (/ x (+ wj 1)) (exp wj))
59.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify80.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	721	1524
1	3303	1471
2	5002	1469

prune389.0ms

Filtered

188 candidates to 138 candidates (73.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	183	5	188
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	185	5	190

Merged error: 0.5b

Counts

190 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `associate-r` `associate--l+` `*-commutative` `flip--` `flip-+` `distribute-lft-out`

Counts

3 → 44

Calls

3 calls:

4.0ms	(+ x (pow wj 2))
7.0ms	(- (+ x (pow wj 2)) (* 2 (* wj x)))
5.0ms	(* 2 (* wj x))

series84.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ x (pow wj 2))
31.0ms	(- (+ x (pow wj 2)) (* 2 (* wj x)))
20.0ms	(* 2 (* wj x))

simplify130.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	202	245
1	793	228
2	4232	225
3	5001	225

prune91.0ms

Filtered

53 candidates to 32 candidates (60.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	48	5	53
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	48	10	58

Merged error: 0.5b

Counts

58 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x)))) (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x)))))
0.6b	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
0.6b	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
0.6b	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

20.0ms	(* (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x)))) (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x)))))
7.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
7.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
7.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))

series1.2s

Counts

4 → 12

Calls

4 calls:

316.0ms	(* (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x)))) (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x)))))
292.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
274.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
279.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))

simplify58.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	315	1593
1	1201	1500
2	5001	1416

prune278.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	94	5	99
Fresh	2	6	8
Picked	1	0	1
Done	0	1	1
Total	97	12	109

Merged error: 0.4b

Counts

109 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
0.6b	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
0.6b	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
0.6b	(cbrt (* (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x)))) (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-div`
10×	`cbrt-prod`
9×	`flip3--` `flip--`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `associate-l/`

Counts

4 → 56

Calls

4 calls:

7.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
7.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
7.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
17.0ms	(cbrt (* (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x)))) (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))))

series1.2s

Counts

4 → 12

Calls

4 calls:

283.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
291.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
281.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
317.0ms	(cbrt (* (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x)))) (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))))

simplify113.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (101.0ms)

Iter	Nodes	Cost
0	289	1228
1	784	1160
2	3756	1150
3	5002	1147

prune250.0ms

Filtered

68 candidates to 58 candidates (85.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	1	9	10
Picked	1	0	1
Done	0	1	1
Total	68	12	80

Merged error: 0.4b

Counts

80 → 12

regimes109.0ms

Accuracy

64.4% (0.7b remaining)

Error of 0.9b against oracle of 0.3b and baseline of 2.1b

bsearch32.0ms

Steps

Iters	Range		Point
7	2.1717726788871126e-09	1.4680832615963674e-07	7.061633315798526e-09

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	16
1	28	16

end0.0ms

sample1.6s

Algorithm

intervals

Results

819.0ms	3820×	body	5120	exit
219.0ms	6340×	body	80	valid
125.0ms	3754×	body	80	overflowed
86.0ms	755×	body	320	valid
71.0ms	431×	body	640	valid
39.0ms	557×	body	160	valid

Details

sample48.0ms

simplify49.0ms

prune6.0ms

localize13.0ms

rewrite60.0ms

series147.0ms

simplify80.0ms

prune389.0ms

localize10.0ms

rewrite17.0ms

series84.0ms

simplify130.0ms

prune91.0ms

localize11.0ms

rewrite43.0ms

series1.2s

simplify58.0ms

prune278.0ms

localize17.0ms

rewrite39.0ms

series1.2s

simplify113.0ms

prune250.0ms

regimes109.0ms

bsearch32.0ms

simplify1.0ms

end0.0ms

sample1.6s

Profiling