Details

analyze3.8s

Algorithm

sampling

Space saved by range analysis: 0.292611%

Space saved by search: 0.292611%

Guaranteed chance to sample good point: 15.222168%

sample28.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify96.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	10
1	71	10
2	184	10
3	381	10
4	682	10
5	1102	10
6	2122	10
7	4337	10
8	5001	10

prune5.0ms

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: 26.9b

Counts

2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.8b	(+ (* (+ x y) z) (* (+ t y) a))
2.2b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
25.1b	(/ (- (+ (* (+ 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 → 90

Calls

4 calls:

5.0ms	(* (+ t y) a)
7.0ms	(+ (* (+ 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))

series192.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (+ t y) a)
16.0ms	(+ (* (+ x y) z) (* (+ t y) a))
30.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
140.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify64.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	520	1087
1	2308	1025
2	5001	1025

prune150.0ms

Filtered

76 candidates to 102 candidates (-34.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	93	9	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	9	103

Merged error: 9.1b

Counts

103 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.8b	(+ (* (+ x y) z) (* (+ t y) a))
11.0b	(/ (* y b) (+ (+ x t) y))
20.2b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

5.0ms	(* (+ t y) a)
7.0ms	(+ (* (+ x y) z) (* (+ t y) a))
8.0ms	(/ (* y b) (+ (+ x t) y))
15.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series102.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (+ t y) a)
17.0ms	(+ (* (+ x y) z) (* (+ t y) a))
17.0ms	(/ (* y b) (+ (+ x t) y))
62.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify64.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	535	998
1	2664	922
2	5002	922

prune145.0ms

Filtered

85 candidates to 118 candidates (-38.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	118	9	127

Merged error: 3.8b

Counts

127 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (+ x t) y) b)
1.8b	(+ (* (+ x y) z) (* (+ t y) a))
8.0b	(/ y (/ (+ (+ x t) y) b))
20.2b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

180×	`*-un-lft-identity`
147×	`times-frac`
80×	`add-sqr-sqrt` `add-cube-cbrt`
60×	`distribute-lft-out`
27×	`associate-/r*`
16×	`associate-*l/`
13×	`add-exp-log` `add-cbrt-cube`
12×	`flip3-+` `flip-+`
11×	`associate-/l*`
8×	`frac-add` `associate-/l/`
7×	`div-inv`
6×	`add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1`
3×	`frac-2neg` `clear-num` `associate-/r/`
1×	`+-commutative` `sum-log`

Counts

4 → 189

Calls

4 calls:

8.0ms	(/ (+ (+ x t) y) b)
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
9.0ms	(/ y (/ (+ (+ x t) y) b))
14.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series116.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ (+ (+ x t) y) b)
16.0ms	(+ (* (+ x y) z) (* (+ t y) a))
29.0ms	(/ y (/ (+ (+ x t) y) b))
62.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify83.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	726	1823
1	3478	1734
2	5001	1733

prune181.0ms

Filtered

133 candidates to 201 candidates (-51.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	199	2	201
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	202	8	210

Merged error: 1.4b

Counts

210 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ b (+ (+ x t) y))
1.8b	(+ (* (+ x y) z) (* (+ t y) a))
7.6b	(* y (/ b (+ (+ x t) y)))
20.2b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite46.0ms

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:

7.0ms	(/ b (+ (+ x t) y))
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
11.0ms	(* y (/ b (+ (+ x t) y)))
16.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series107.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(/ b (+ (+ x t) y))
16.0ms	(+ (* (+ x y) z) (* (+ t y) a))
17.0ms	(* y (/ b (+ (+ x t) y)))
63.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify69.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	549	1202
1	2705	1118
2	5001	1118

prune114.0ms

Filtered

100 candidates to 147 candidates (-47.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	147	8	155

Merged error: 1.4b

Counts

155 → 8

regimes832.0ms

Accuracy

55.3% (9.9b remaining)

Error of 12.7b against oracle of 2.9b and baseline of 24.9b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	36
1	41	36

end0.0ms

analyze3.7s

Algorithm

sampling

Space saved by range analysis: 0.292611%

Space saved by search: 0.292611%

Guaranteed chance to sample good point: 15.222168%

sample716.0ms

Algorithm

intervals

Results

450.0ms

8000×

body

valid

Details

analyze3.8s

sample28.0ms

simplify96.0ms

prune5.0ms

localize17.0ms

rewrite37.0ms

series192.0ms

simplify64.0ms

prune150.0ms

localize15.0ms

rewrite39.0ms

series102.0ms

simplify64.0ms

prune145.0ms

localize15.0ms

rewrite46.0ms

series116.0ms

simplify83.0ms

prune181.0ms

localize16.0ms

rewrite46.0ms

series107.0ms

simplify69.0ms

prune114.0ms

regimes832.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

analyze3.7s

sample716.0ms

Profiling