Details

analyze1.8s

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
0%	99.7%	0.3%	12
0%	99.7%	0.3%	13
0%	99.7%	0.3%	14

sample46.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
8.0ms	145×	body	80	invalid

simplify155.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (153.0ms)

Iter	Nodes	Cost
0	6325	17

prune20.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 6.7b

Counts

2 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (* 9.0 y)) b)
0.4b	(* x (* 9.0 y))
3.2b	(/ (+ (* x (* 9.0 y)) b) z)
8.9b	(/ (- (/ (+ (* x (* 9.0 y)) b) z) (* 4.0 (* t a))) c)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
13×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
6×	`associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/l/`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`+-commutative` `flip3--` `div-sub` `associate-r` `sum-log` `*-commutative` `flip--`

Counts

4 → 88

Calls

4 calls:

5.0ms	(+ (* x (* 9.0 y)) b)
5.0ms	(* x (* 9.0 y))
8.0ms	(/ (+ (* x (* 9.0 y)) b) z)
12.0ms	(/ (- (/ (+ (* x (* 9.0 y)) b) z) (* 4.0 (* t a))) c)

series71.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ (* x (* 9.0 y)) b)
4.0ms	(* x (* 9.0 y))
14.0ms	(/ (+ (* x (* 9.0 y)) b) z)
47.0ms	(/ (- (/ (+ (* x (* 9.0 y)) b) z) (* 4.0 (* t a))) c)

simplify51.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5360	1478

prune178.0ms

Filtered

73 candidates to 100 candidates (-37.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	93	7	100
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	94	8	102

Merged error: 0.3b

Counts

102 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (* (/ y z) 9.0)) (/ b z))
0.2b	(* (/ y z) 9.0)
4.5b	(* x (* (/ y z) 9.0))
8.9b	(/ (- (+ (* x (* (/ y z) 9.0)) (/ b z)) (* 4.0 (* t a))) c)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
20×	`add-exp-log` `add-cbrt-cube`
19×	`times-frac`
16×	`associate-l`
11×	`pow1`
7×	`prod-exp` `cbrt-unprod`
6×	`add-log-exp`
4×	`associate-r` `pow-prod-down`
3×	`cbrt-undiv` `div-exp` `associate-l/` `associate-/r` `associate-/l*`
2×	`associate-r/` `-commutative` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `div-sub` `frac-add` `clear-num` `sum-log` `flip--` `flip-+`

Counts

4 → 95

Calls

4 calls:

9.0ms	(+ (* x (* (/ y z) 9.0)) (/ b z))
6.0ms	(* (/ y z) 9.0)
6.0ms	(* x (* (/ y z) 9.0))
13.0ms	(/ (- (+ (* x (* (/ y z) 9.0)) (/ b z)) (* 4.0 (* t a))) c)

series71.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ (* x (* (/ y z) 9.0)) (/ b z))
3.0ms	(* (/ y z) 9.0)
6.0ms	(* x (* (/ y z) 9.0))
49.0ms	(/ (- (+ (* x (* (/ y z) 9.0)) (/ b z)) (* 4.0 (* t a))) c)

simplify52.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5408	1489

prune194.0ms

Filtered

77 candidates to 107 candidates (-39.0%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	100	7	107
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	104	11	115

Merged error: 0.0b

Counts

115 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (* y (/ 9.0 z))) (/ b z))
0.2b	(* y (/ 9.0 z))
4.5b	(* x (* y (/ 9.0 z)))
8.9b	(/ (- (+ (* x (* y (/ 9.0 z))) (/ b z)) (* 4.0 (* t a))) c)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
20×	`add-exp-log` `add-cbrt-cube`
19×	`times-frac`
14×	`associate-r`
11×	`pow1`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-l` `add-log-exp`
5×	`associate-*r/`
4×	`pow-prod-down`
3×	`cbrt-undiv` `div-exp` `associate-/r` `associate-/l`
2×	`*-commutative` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `div-sub` `frac-add` `clear-num` `sum-log` `flip--` `flip-+`

Counts

4 → 95

Calls

4 calls:

9.0ms	(+ (* x (* y (/ 9.0 z))) (/ b z))
6.0ms	(* y (/ 9.0 z))
6.0ms	(* x (* y (/ 9.0 z)))
13.0ms	(/ (- (+ (* x (* y (/ 9.0 z))) (/ b z)) (* 4.0 (* t a))) c)

series69.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ (* x (* y (/ 9.0 z))) (/ b z))
3.0ms	(* y (/ 9.0 z))
6.0ms	(* x (* y (/ 9.0 z)))
48.0ms	(/ (- (+ (* x (* y (/ 9.0 z))) (/ b z)) (* 4.0 (* t a))) c)

simplify52.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4992	1493
1	4992	1493

prune177.0ms

Filtered

75 candidates to 107 candidates (-42.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	108	10	118

Merged error: 0.0b

Counts

118 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (* (/ y z) 9.0)) (/ b z))
0.2b	(* (/ y z) 9.0)
4.5b	(* x (* (/ y z) 9.0))
9.0b	(* (- (+ (* x (* (/ y z) 9.0)) (/ b z)) (* 4.0 (* t a))) (/ 1 c))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
27×	`add-exp-log`
23×	`add-cbrt-cube`
22×	`*-un-lft-identity`
21×	`add-cube-cbrt` `times-frac`
19×	`associate-l`
17×	`associate-r`
13×	`pow1`
11×	`prod-exp`
9×	`cbrt-unprod`
6×	`add-log-exp`
5×	`pow-prod-down` `associate-*l/` `unswap-sqr`
4×	`div-exp`
3×	`cbrt-undiv` `associate-r/` `-commutative`
2×	`frac-times` `flip3--` `flip--` `div-inv`
1×	`+-commutative` `rec-exp` `flip3-+` `1-exp` `frac-add` `sum-log` `un-div-inv` `flip-+`

Counts

4 → 105

Calls

4 calls:

8.0ms	(+ (* x (* (/ y z) 9.0)) (/ b z))
8.0ms	(* (/ y z) 9.0)
6.0ms	(* x (* (/ y z) 9.0))
16.0ms	(* (- (+ (* x (* (/ y z) 9.0)) (/ b z)) (* 4.0 (* t a))) (/ 1 c))

series68.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ (* x (* (/ y z) 9.0)) (/ b z))
3.0ms	(* (/ y z) 9.0)
6.0ms	(* x (* (/ y z) 9.0))
46.0ms	(* (- (+ (* x (* (/ y z) 9.0)) (/ b z)) (* 4.0 (* t a))) (/ 1 c))

simplify30.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5120	1633

prune124.0ms

Filtered

79 candidates to 117 candidates (-48.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	117	10	127

Merged error: 0.0b

Counts

127 → 10

regimes1.5s

Accuracy

58.2% (5.2b remaining)

Error of 5.3b against oracle of 0.1b and baseline of 12.5b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	79	152
1	79	152

end0.0ms

analyze1.7s

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
0%	99.7%	0.3%	12
0%	99.7%	0.3%	13
0%	99.7%	0.3%	14

sample1.3s

Algorithm

intervals

Results

481.0ms	8000×	body	80	valid
302.0ms	4887×	body	80	invalid

Details

analyze1.8s

sample46.0ms

simplify155.0ms

prune20.0ms

localize13.0ms

rewrite31.0ms

series71.0ms

simplify51.0ms

prune178.0ms

localize16.0ms

rewrite36.0ms

series71.0ms

simplify52.0ms

prune194.0ms

localize17.0ms

rewrite37.0ms

series69.0ms

simplify52.0ms

prune177.0ms

localize15.0ms

rewrite42.0ms

series68.0ms

simplify30.0ms

prune124.0ms

regimes1.5s

bsearch1.0ms

simplify2.0ms

end0.0ms

analyze1.7s

sample1.3s

Profiling