Details

sample36.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify108.0ms

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

prune6.0ms

Filtered

1 candidates to 0 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: 27.0b

Counts

2 → 1

localize18.0ms

Local error

Found 3 expressions with local error:

1.7b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
2.1b	(+ (* (+ x y) z) (* (+ t y) a))
25.3b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
15×	`times-frac`
13×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`distribute-lft-out`
10×	`add-log-exp`
8×	`associate-*l/`
6×	`flip3-+` `flip-+`
5×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
4×	`frac-add`
3×	`pow1` `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` `associate--l+` `clear-num` `div-inv`

Counts

3 → 69

Calls

3 calls:

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

series729.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
45.0ms	(+ (* (+ x y) z) (* (+ t y) a))
583.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify58.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	468	1010
1	2042	953
2	5001	953

prune448.0ms

Filtered

78 candidates to 58 candidates (74.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	66	12	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	12	79

Merged error: 7.1b

Counts

79 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ (+ x t) y))
1.7b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
2.1b	(+ (* (+ x y) z) (* (+ t y) a))
25.3b	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

rewrite48.0ms

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 → 118

Calls

4 calls:

7.0ms	(/ 1 (+ (+ x t) y))
9.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
9.0ms	(+ (* (+ x y) z) (* (+ t y) a))
18.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

series761.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ 1 (+ (+ x t) y))
94.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
45.0ms	(+ (* (+ x y) z) (* (+ t y) a))
566.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

simplify70.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	562	1269
1	2768	1146
2	5002	1104

prune549.0ms

Filtered

130 candidates to 76 candidates (58.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	127	3	130
Fresh	2	9	11
Picked	0	1	1
Done	0	0	0
Total	129	13	142

Merged error: 7.1b

Counts

142 → 13

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
1.7b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
2.1b	(+ (* (+ x y) z) (* (+ t y) a))
25.3b	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

152×	`*-un-lft-identity`
138×	`times-frac`
72×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`distribute-lft-out`
24×	`associate-/r*`
17×	`add-exp-log`
11×	`associate-/r/` `add-cbrt-cube` `add-log-exp`
8×	`div-exp` `associate-l/` `associate-/l`
6×	`flip3--` `flip3-+` `flip--` `flip-+` `div-inv`
5×	`pow1`
4×	`cbrt-undiv` `frac-add`
2×	`rec-exp` `frac-2neg` `diff-log` `1-exp` `clear-num` `sum-log` `associate-/l/`
1×	`+-commutative` `sub-neg` `pow-flip` `associate--l+` `inv-pow`

Counts

4 → 176

Calls

4 calls:

16.0ms	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
9.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
14.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

series799.0ms

Counts

4 → 12

Calls

4 calls:

566.0ms	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
95.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
44.0ms	(+ (* (+ x y) z) (* (+ t y) a))
94.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

simplify393.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	703	3188
1	3355	2977
2	5002	2859

prune622.0ms

Filtered

188 candidates to 93 candidates (49.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	186	2	188
Fresh	4	7	11
Picked	0	1	1
Done	0	1	1
Total	190	11	201

Merged error: 3.2b

Counts

201 → 11

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	8	8
Picked	1	1
Done	2	2
Total	11	11

Merged error: 3.2b

Counts

11 → 11

regimes938.0ms

Accuracy

9.6% (21.7b remaining)

Error of 25.9b against oracle of 4.2b and baseline of 28.2b

bsearch353.0ms

Steps

Iters	Range		Point
8	1.0725919174040695e+108	5.29588258325493e+111	6.063525147010417e+110
6	4.217997786745723e+81	6.743690074802368e+82	5.284913279516607e+81
10	3.019997221206661e+43	1.395621129248415e+55	1.3724037361947135e+55
6	9.168630131851026e-86	1.0001435439067185e-84	6.464481512897174e-85
8	-7.690345629979845e-269	-9.99993158828465e-272	-1.2070589849303451e-269
7	-2.5214009535210017e-92	-1.507692350214749e-93	-1.2592619917242623e-92
6	-1.0777172989336676e+93	-1.5913700121328938e+92	-4.299514749499306e+92
6	-7.680172725578203e+129	-5.217308355344187e+128	-1.877425623621617e+129

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	50
1	60	50

end0.0ms

sample872.0ms

Algorithm

intervals

Results

406.0ms	7999×	body	80	valid
0.0ms	1×	body	640	valid

Details

sample36.0ms

simplify108.0ms

prune6.0ms

localize18.0ms

rewrite32.0ms

series729.0ms

simplify58.0ms

prune448.0ms

localize15.0ms

rewrite48.0ms

series761.0ms

simplify70.0ms

prune549.0ms

localize15.0ms

rewrite56.0ms

series799.0ms

simplify393.0ms

prune622.0ms

localize6.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune0.0ms

regimes938.0ms

bsearch353.0ms

simplify2.0ms

end0.0ms

sample872.0ms

Profiling