Details

analyze1.6s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
1.1%	98.6%	0.3%	12
1.9%	97.8%	0.3%	13
7%	92.7%	0.3%	14

sample31.0ms

Algorithm

intervals

Results

18.0ms

256×

body

valid

simplify21.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	936	21
1	936	21

prune8.0ms

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: 25.5b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
1.8b	(+ (* (+ x y) z) (* (+ t y) a))
1.9b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
23.9b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
15×	`times-frac`
13×	`distribute-lft-out`
11×	`add-log-exp`
10×	`associate-*l/`
8×	`add-exp-log` `add-cbrt-cube`
7×	`flip3-+` `flip-+`
6×	`pow1`
5×	`associate-/r*`
4×	`associate-l` `frac-add`
3×	`associate-r` `associate-/l*`
2×	`flip3--` `diff-log` `sum-log` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `associate--l+` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

5.0ms	(* (+ x y) z)
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
9.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
14.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series203.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (+ x y) z)
17.0ms	(+ (* (+ x y) z) (* (+ t y) a))
33.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
147.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify50.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5859	2057

prune179.0ms

Filtered

75 candidates to 101 candidates (-34.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	88	13	101
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	13	102

Merged error: 4.1b

Counts

102 → 13

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ x (+ y t)))
1.8b	(+ (* (+ x y) z) (* (+ t y) a))
1.9b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
23.9b	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ x (+ y t))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
32×	`times-frac`
31×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
21×	`associate-r` `distribute-lft-out`
17×	`add-exp-log`
11×	`add-cbrt-cube` `add-log-exp`
10×	`associate-*l/`
7×	`pow1` `flip3-+` `flip-+`
5×	`associate-/r*`
4×	`div-exp` `frac-add` `prod-exp` `associate-/r/`
3×	`flip3--` `associate-l` `flip--` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `diff-log` `1-exp` `sum-log` `cbrt-unprod` `div-inv`
1×	`+-commutative` `sub-neg` `pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `associate--l+` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 117

Calls

4 calls:

7.0ms	(/ 1 (+ x (+ y t)))
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
9.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
20.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ x (+ y t))))

series205.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(/ 1 (+ x (+ y t)))
17.0ms	(+ (* (+ x y) z) (* (+ t y) a))
31.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
148.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ x (+ y t))))

simplify54.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5501	2274

prune160.0ms

Filtered

80 candidates to 129 candidates (-61.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	126	3	129
Fresh	3	9	12
Picked	0	1	1
Done	0	0	0
Total	129	13	142

Merged error: 4.0b

Counts

142 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ b (+ x (+ y t)))
1.8b	(+ (* (+ x y) z) (* (+ y t) a))
9.6b	(* y (/ b (+ x (+ y t))))
22.3b	(/ (+ (* (+ x y) z) (* (+ y t) a)) (+ x (+ y t)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
46×	`times-frac`
39×	`add-sqr-sqrt`
34×	`add-cube-cbrt`
33×	`distribute-lft-out`
21×	`associate-r`
16×	`associate-*l/`
13×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
10×	`associate-/r*`
8×	`frac-add`
6×	`pow1` `associate-/r/` `associate-/l/` `associate-/l*` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-l` `div-inv`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-r/` `pow-prod-down` `sum-log` `-commutative`

Counts

4 → 135

Calls

4 calls:

6.0ms	(/ b (+ x (+ y t)))
7.0ms	(+ (* (+ x y) z) (* (+ y t) a))
11.0ms	(* y (/ b (+ x (+ y t))))
14.0ms	(/ (+ (* (+ x y) z) (* (+ y t) a)) (+ x (+ y t)))

series112.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(/ b (+ x (+ y t)))
17.0ms	(+ (* (+ x y) z) (* (+ y t) a))
18.0ms	(* y (/ b (+ x (+ y t))))
65.0ms	(/ (+ (* (+ x y) z) (* (+ y t) a)) (+ x (+ y t)))

simplify54.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5115	2247

prune169.0ms

Filtered

100 candidates to 147 candidates (-47.0%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	143	4	147
Fresh	4	7	11
Picked	1	0	1
Done	0	1	1
Total	148	12	160

Merged error: 2.4b

Counts

160 → 12

localize21.0ms

Local error

Found 4 expressions with local error:

6.0b	(* (* (cbrt (+ (* (+ x y) z) (+ (* t a) (* y (- a b))))) (cbrt (+ (* (+ x y) z) (+ (* t a) (* y (- a b)))))) (/ (cbrt (+ (* (+ x y) z) (+ (* t a) (* y (- a b))))) (+ x (+ y t))))
24.6b	(cbrt (+ (* (+ x y) z) (+ (* t a) (* y (- a b)))))
24.6b	(cbrt (+ (* (+ x y) z) (+ (* t a) (* y (- a b)))))
24.6b	(cbrt (+ (* (+ x y) z) (+ (* t a) (* y (- a b)))))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

186×	`cbrt-div`
184×	`associate-*l/`
156×	`flip3-+` `flip-+`
124×	`frac-add`
120×	`frac-times`
54×	`*-un-lft-identity`
36×	`associate-r`
32×	`times-frac`
29×	`add-sqr-sqrt`
25×	`cbrt-prod`
24×	`add-cube-cbrt`
18×	`distribute-lft-out`
16×	`add-exp-log`
13×	`associate-*r/`
10×	`add-cbrt-cube`
9×	`pow1`
6×	`prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3` `pow-prod-down` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `associate-/r/`
1×	`associate-l` `*-commutative` `div-inv`

Counts

4 → 206

Calls

4 calls:

39.0ms	(* (* (cbrt (+ (* (+ x y) z) (+ (* t a) (* y (- a b))))) (cbrt (+ (* (+ x y) z) (+ (* t a) (* y (- a b)))))) (/ (cbrt (+ (* (+ x y) z) (+ (* t a) (* y (- a b))))) (+ x (+ y t))))
7.0ms	(cbrt (+ (* (+ x y) z) (+ (* t a) (* y (- a b)))))
7.0ms	(cbrt (+ (* (+ x y) z) (+ (* t a) (* y (- a b)))))
7.0ms	(cbrt (+ (* (+ x y) z) (+ (* t a) (* y (- a b)))))

series514.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(* (* (cbrt (+ (* (+ x y) z) (+ (* t a) (* y (- a b))))) (cbrt (+ (* (+ x y) z) (+ (* t a) (* y (- a b)))))) (/ (cbrt (+ (* (+ x y) z) (+ (* t a) (* y (- a b))))) (+ x (+ y t))))
121.0ms	(cbrt (+ (* (+ x y) z) (+ (* t a) (* y (- a b)))))
124.0ms	(cbrt (+ (* (+ x y) z) (+ (* t a) (* y (- a b)))))
123.0ms	(cbrt (+ (* (+ x y) z) (+ (* t a) (* y (- a b)))))

simplify144.0ms

Algorithm

egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	5151	15963

prune285.0ms

Filtered

158 candidates to 218 candidates (-38.0%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	217	1	218
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	218	12	230

Merged error: 2.4b

Counts

230 → 12

regimes869.0ms

Accuracy

20.7% (18.5b remaining)

Error of 21.5b against oracle of 3.0b and baseline of 26.4b

bsearch9.6s

Steps

Iters	Range		Point
2	1.8648087150550257e+145	2.1321143056084628e+145	1.8982219138742053e+145
9	1.8097233674521846e+104	3.4384576970861703e+109	2.8904966271832427e+109
5	1.3801411671374555e-38	4.384459497706067e-38	4.3223475310642584e-38
10	-9.40564070377345e+23	-7909241.064773879	-6.82179524428573e+21
10	-1.6913490923781507e+263	-2.089269783354501e+251	-1.0677618729601775e+258

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	65	67
1	65	67

end0.0ms

analyze1.3s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
1.1%	98.6%	0.3%	12
1.9%	97.8%	0.3%	13
7%	92.7%	0.3%	14

sample685.0ms

Algorithm

intervals

Results

441.0ms	7999×	body	80	valid
0.0ms	1×	body	1280	valid

Details

analyze1.6s

sample31.0ms

simplify21.0ms

prune8.0ms

localize14.0ms

rewrite37.0ms

series203.0ms

simplify50.0ms

prune179.0ms

localize15.0ms

rewrite46.0ms

series205.0ms

simplify54.0ms

prune160.0ms

localize13.0ms

rewrite44.0ms

series112.0ms

simplify54.0ms

prune169.0ms

localize21.0ms

rewrite83.0ms

series514.0ms

simplify144.0ms

prune285.0ms

regimes869.0ms

bsearch9.6s

simplify2.0ms

end0.0ms

analyze1.3s

sample685.0ms

Profiling