Details

sample63.0ms

Algorithm

intervals

Results

11.0ms	197×	body	80	valid
10.0ms	32×	body	2560	valid
10.0ms	31×	body	1280	valid
6.0ms	100×	body	80	nan
2.0ms	11×	body	640	valid
1.0ms	2×	body	5120	valid
1.0ms	4×	body	320	valid
0.0ms	1×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	91	16
1	91	16

prune15.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 32.0b

Counts

2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
0.2b	(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.8b	(- (* b b) (* (* 4.0 a) c))
23.1b	(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
10×	`add-log-exp`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`pow1` `times-frac` `associate-/l*`
3×	`distribute-rgt-neg-in` `sqrt-prod`
2×	`cbrt-undiv` `neg-sub0` `associate-+l-` `flip3--` `flip3-+` `sqrt-div` `div-exp` `sum-log` `flip--` `flip-+` `associate-/l/`
1×	`+-commutative` `sub-neg` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `diff-log` `div-sub` `neg-log` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 70

Calls

4 calls:

21.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
18.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
6.0ms	(- (* b b) (* (* 4.0 a) c))
7.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))

series85.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
21.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
15.0ms	(- (* b b) (* (* 4.0 a) c))
25.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify35.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5009	1230

prune159.0ms

Filtered

64 candidates to 82 candidates (-28.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	74	8	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	8	83

Merged error: 5.0b

Counts

83 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.2b	(* (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (/ 1 (* a 2.0)))
0.8b	(- (* b b) (* (* 4.0 a) c))
23.1b	(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
16×	`*-un-lft-identity`
13×	`add-cbrt-cube`
11×	`add-sqr-sqrt`
10×	`prod-exp` `add-log-exp`
8×	`add-cube-cbrt`
7×	`pow1` `associate-r`
5×	`associate-l`
4×	`div-exp` `cbrt-unprod` `distribute-lft-out`
3×	`flip3-+` `times-frac` `sqrt-prod` `flip-+`
2×	`cbrt-undiv` `frac-times` `rec-exp` `flip3--` `distribute-rgt-neg-in` `sqrt-div` `1-exp` `associate-*l/` `sum-log` `flip--`
1×	`+-commutative` `neg-sub0` `associate-+l-` `sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `diff-log` `associate-r/` `pow-prod-down` `neg-log` `un-div-inv` `-commutative` `div-inv` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

8.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
14.0ms	(* (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (/ 1 (* a 2.0)))
3.0ms	(- (* b b) (* (* 4.0 a) c))
3.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))

series63.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
27.0ms	(* (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (/ 1 (* a 2.0)))
8.0ms	(- (* b b) (* (* 4.0 a) c))
14.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify64.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4986	1375
1	4986	1375

prune139.0ms

Filtered

68 candidates to 92 candidates (-35.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	92	8	100

Merged error: 5.0b

Counts

100 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* a (/ 2.0 (- (sqrt (- (* b b) (* 4.0 (* a c)))) b)))
0.2b	(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)
0.8b	(- (* b b) (* 4.0 (* a c)))
23.1b	(sqrt (- (* b b) (* 4.0 (* a c))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
24×	`-un-lft-identity` `associate-r*`
19×	`times-frac`
16×	`add-cube-cbrt`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp` `difference-of-squares`
7×	`pow1` `sqrt-prod`
4×	`flip3--` `flip--` `distribute-lft-out--`
3×	`associate-l`
2×	`sub-neg` `sqrt-div` `diff-log` `prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv`

Counts

4 → 85

Calls

4 calls:

14.0ms	(* a (/ 2.0 (- (sqrt (- (* b b) (* 4.0 (* a c)))) b)))
7.0ms	(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)
3.0ms	(- (* b b) (* 4.0 (* a c)))
4.0ms	(sqrt (- (* b b) (* 4.0 (* a c))))

series88.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* a (/ 2.0 (- (sqrt (- (* b b) (* 4.0 (* a c)))) b)))
16.0ms	(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)
8.0ms	(- (* b b) (* 4.0 (* a c)))
14.0ms	(sqrt (- (* b b) (* 4.0 (* a c))))

simplify34.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5167	1447

prune154.0ms

Filtered

70 candidates to 97 candidates (-38.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	95	10	105

Merged error: 4.9b

Counts

105 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.8b	(- (* b b) (* 4.0 (* a c)))
0.8b	(- (* b b) (* 4.0 (* a c)))
23.1b	(sqrt (- (* b b) (* 4.0 (* a c))))
23.1b	(sqrt (- (* b b) (* 4.0 (* a c))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-log-exp`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
4×	`add-exp-log` `flip3--` `sqrt-div` `add-cbrt-cube` `flip--`
2×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `diff-log`

Counts

4 → 54

Calls

4 calls:

5.0ms	(- (* b b) (* 4.0 (* a c)))
4.0ms	(- (* b b) (* 4.0 (* a c)))
3.0ms	(sqrt (- (* b b) (* 4.0 (* a c))))
4.0ms	(sqrt (- (* b b) (* 4.0 (* a c))))

series45.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* b b) (* 4.0 (* a c)))
8.0ms	(- (* b b) (* 4.0 (* a c)))
14.0ms	(sqrt (- (* b b) (* 4.0 (* a c))))
14.0ms	(sqrt (- (* b b) (* 4.0 (* a c))))

simplify68.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4956	836
1	4956	836

prune120.0ms

Filtered

50 candidates to 66 candidates (-32.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	7	7
Picked	1	0	1
Done	0	2	2
Total	66	10	76

Merged error: 4.8b

Counts

76 → 10

regimes318.0ms

Accuracy

83.1% (4.8b remaining)

Error of 10.5b against oracle of 5.7b and baseline of 34.0b

bsearch54.0ms

Steps

Iters	Range		Point
7	5.816120864114621e-92	2.0250992463148254e-90	1.0789308332029793e-91
8	-3.07876034479492e+94	-2.6562780769531156e+90	-1.887155650852303e+94

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	41
1	37	41

end0.0ms

sample1.6s

Algorithm

intervals

Results

335.0ms	1071×	body	2560	valid
317.0ms	5903×	body	80	valid
225.0ms	885×	body	1280	valid
147.0ms	2907×	body	80	nan
92.0ms	458×	body	640	valid
36.0ms	98×	body	5120	valid
33.0ms	221×	body	320	valid
13.0ms	125×	body	160	valid

Details

sample63.0ms

simplify5.0ms

prune15.0ms

localize22.0ms

rewrite55.0ms

series85.0ms

simplify35.0ms

prune159.0ms

localize12.0ms

rewrite31.0ms

series63.0ms

simplify64.0ms

prune139.0ms

localize12.0ms

rewrite30.0ms

series88.0ms

simplify34.0ms

prune154.0ms

localize13.0ms

rewrite17.0ms

series45.0ms

simplify68.0ms

prune120.0ms

regimes318.0ms

bsearch54.0ms

simplify1.0ms

end0.0ms

sample1.6s

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