Details

analyze1.4s

Algorithm: search

sample32.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify111.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 26.7b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
0.9b	(+ (* (+ x y) z) (* (+ t y) a))
2.4b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
25.0b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite39.0ms

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:

6.0ms	(* (+ t y) a)
7.0ms	(+ (* (+ x y) z) (* (+ t y) a))
9.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
15.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series198.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (+ t y) a)
19.0ms	(+ (* (+ x y) z) (* (+ t y) a))
30.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
142.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify73.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (16.0ms)

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

prune168.0ms

Filtered

76 candidates to 102 candidates (-34.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	91	11	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	11	103

Merged error: 8.6b

Counts

103 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
0.9b	(+ (* (+ x y) z) (* (+ t y) a))
8.6b	(/ (* y b) (+ (+ x t) y))
21.5b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite38.0ms

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:

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

series102.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (+ t y) a)
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))

simplify76.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 1 (16.0ms)

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

prune153.0ms

Filtered

85 candidates to 118 candidates (-38.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	114	4	118
Fresh	5	5	10
Picked	1	0	1
Done	0	0	0
Total	120	9	129

Merged error: 5.0b

Counts

129 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (+ x t) y) b)
0.9b	(+ (* (+ x y) z) (* (+ t y) a))
8.9b	(/ y (/ (+ (+ x t) y) b))
21.5b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite49.0ms

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)
7.0ms	(+ (* (+ x y) z) (* (+ t y) a))
12.0ms	(/ 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)
17.0ms	(+ (* (+ x y) z) (* (+ t y) a))
28.0ms	(/ y (/ (+ (+ x t) y) b))
64.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify99.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (75.0ms)

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

prune183.0ms

Filtered

133 candidates to 201 candidates (-51.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	200	1	201
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	203	7	210

Merged error: 3.3b

Counts

210 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ b (+ (+ x t) y))
0.9b	(+ (* (+ x y) z) (* (+ t y) a))
8.5b	(* y (/ b (+ (+ x t) y)))
21.5b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

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:

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

series111.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(/ 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))

simplify78.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 1 (17.0ms)

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

prune121.0ms

Filtered

100 candidates to 147 candidates (-47.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	146	1	147
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	146	8	154

Merged error: 3.3b

Counts

154 → 8

regimes767.0ms

Accuracy

47.8% (11.3b remaining)

Error of 14.5b against oracle of 3.2b and baseline of 24.9b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	36
1	39	36

end0.0ms

analyze1.4s

Algorithm: search

sample715.0ms

Algorithm

intervals

Results

451.0ms	7995×	body	80	valid
1.0ms	3×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

Details

analyze1.4s

sample32.0ms

simplify111.0ms

prune5.0ms

localize15.0ms

rewrite39.0ms

series198.0ms

simplify73.0ms

prune168.0ms

localize16.0ms

rewrite38.0ms

series102.0ms

simplify76.0ms

prune153.0ms

localize16.0ms

rewrite49.0ms

series116.0ms

simplify99.0ms

prune183.0ms

localize16.0ms

rewrite44.0ms

series111.0ms

simplify78.0ms

prune121.0ms

regimes767.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

analyze1.4s

sample715.0ms

Profiling