Details

analyze881.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
2.3%	97.4%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
33.3%	66.5%	0.2%	14

sample27.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	22×	body	80	invalid

simplify89.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4982	11
1	4982	11

prune4.0ms

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: 2.1b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
2.6b	(* y (/ (- z t) (- z a)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

3.0ms	(+ x (* y (/ (- z t) (- z a))))
7.0ms	(/ (- z t) (- z a))
13.0ms	(* y (/ (- z t) (- z a)))

series54.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ x (* y (/ (- z t) (- z a))))
9.0ms	(/ (- z t) (- z a))
16.0ms	(* y (/ (- z t) (- z a)))

simplify41.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4994	1366
1	4994	1366

prune147.0ms

Filtered

83 candidates to 122 candidates (-47.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	114	8	122
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	115	8	123

Merged error: 0.0b

Counts

123 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (* (- z t) (/ 1 (- z a)))))
0.0b	(/ 1 (- z a))
0.3b	(* (- z t) (/ 1 (- z a)))
2.6b	(* y (* (- z t) (/ 1 (- z a))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
32×	`add-exp-log` `times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`associate-r/` `associate-l*` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `flip--` `add-log-exp`
5×	`associate-/r*`
4×	`frac-times` `pow-prod-down` `associate-*l/` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `inv-pow`

Counts

4 → 130

Calls

4 calls:

4.0ms	(+ x (* y (* (- z t) (/ 1 (- z a)))))
5.0ms	(/ 1 (- z a))
13.0ms	(* (- z t) (/ 1 (- z a)))
12.0ms	(* y (* (- z t) (/ 1 (- z a))))

series73.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ x (* y (* (- z t) (/ 1 (- z a)))))
10.0ms	(/ 1 (- z a))
15.0ms	(* (- z t) (/ 1 (- z a)))
19.0ms	(* y (* (- z t) (/ 1 (- z a))))

simplify40.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5082	1285

prune139.0ms

Filtered

88 candidates to 142 candidates (-61.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	141	1	142
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	142	8	150

Merged error: 0.0b

Counts

150 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
0.0b	(/ (- z a) (- z t))
0.8b	(/ 1 (/ (- z a) (- z t)))
2.6b	(* y (/ 1 (/ (- z a) (- z t))))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
336×	`add-sqr-sqrt`
324×	`*-un-lft-identity`
158×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 338

Calls

4 calls:

3.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
7.0ms	(/ (- z a) (- z t))
11.0ms	(/ 1 (/ (- z a) (- z t)))
31.0ms	(* y (/ 1 (/ (- z a) (- z t))))

series74.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
9.0ms	(/ (- z a) (- z t))
15.0ms	(/ 1 (/ (- z a) (- z t)))
23.0ms	(* y (/ 1 (/ (- z a) (- z t))))

simplify77.0ms

Algorithm

egg-herbie

Counts

350 → 350

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5121	4569

prune280.0ms

Filtered

203 candidates to 350 candidates (-72.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	346	4	350
Fresh	5	1	6
Picked	1	0	1
Done	1	0	1
Total	353	5	358

Merged error: 0b

Counts

358 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- z a))
0.0b	(+ x (* y (/ (/ 1 (- z a)) (/ 1 (- z t)))))
0.2b	(/ (/ 1 (- z a)) (/ 1 (- z t)))
2.6b	(* y (/ (/ 1 (- z a)) (/ 1 (- z t))))

rewrite263.0ms

Algorithm

rewrite-expression-head

Rules

2208×	`times-frac`
1349×	`add-sqr-sqrt`
1320×	`*-un-lft-identity`
790×	`add-cube-cbrt`
446×	`associate-r`
262×	`distribute-lft-out--` `difference-of-squares`
176×	`associate-/r/`
106×	`add-exp-log`
89×	`div-inv`
87×	`flip3--` `flip--`
66×	`div-exp`
36×	`add-cbrt-cube`
26×	`associate-/r*`
24×	`associate-/l*`
17×	`cbrt-undiv` `rec-exp` `1-exp` `prod-exp`
10×	`unswap-sqr`
7×	`pow1`
6×	`add-log-exp`
5×	`cbrt-unprod`
3×	`associate-l`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `pow-flip` `flip3-+` `associate-r/` `pow-prod-down` `sum-log` `-commutative` `flip-+` `associate-/l/` `inv-pow`

Counts

4 → 1058

Calls

4 calls:

5.0ms	(/ 1 (- z a))
6.0ms	(+ x (* y (/ (/ 1 (- z a)) (/ 1 (- z t)))))
42.0ms	(/ (/ 1 (- z a)) (/ 1 (- z t)))
107.0ms	(* y (/ (/ 1 (- z a)) (/ 1 (- z t))))

series69.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ 1 (- z a))
27.0ms	(+ x (* y (/ (/ 1 (- z a)) (/ 1 (- z t)))))
13.0ms	(/ (/ 1 (- z a)) (/ 1 (- z t)))
22.0ms	(* y (/ (/ 1 (- z a)) (/ 1 (- z t))))

simplify145.0ms

Algorithm

egg-herbie

Counts

1070 → 1070

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5698	18410

prune1.1s

Filtered

502 candidates to 1070 candidates (-113.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	1070	0	1070
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	1070	5	1075

Merged error: 0b

Counts

1075 → 5

regimes364.0ms

Accuracy

62.3% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.4b

bsearch29.0ms

Steps

Iters	Range		Point
4	7.314230348812121e-72	1.155184888090945e-71	1.1365003028968453e-71
9	-4.333892590570478e-06	-2.2972810921701056e-13	-1.2607199684655414e-06

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	45
1	48	45

end0.0ms

sample601.0ms

Algorithm

intervals

Results

304.0ms	7996×	body	80	valid
33.0ms	777×	body	80	invalid
4.0ms	1×	body	2560	valid
0.0ms	3×	body	640	valid

Details

analyze881.0ms

sample27.0ms

simplify89.0ms

prune4.0ms

localize8.0ms

rewrite27.0ms

series54.0ms

simplify41.0ms

prune147.0ms

localize9.0ms

rewrite38.0ms

series73.0ms

simplify40.0ms

prune139.0ms

localize10.0ms

rewrite80.0ms

series74.0ms

simplify77.0ms

prune280.0ms

localize11.0ms

rewrite263.0ms

series69.0ms

simplify145.0ms

prune1.1s

regimes364.0ms

bsearch29.0ms

simplify2.0ms

end0.0ms

sample601.0ms

Profiling