Details

analyze5.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
50%	50%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

sample25.0ms

Algorithm

intervals

Results

19.0ms

256×

body

valid

simplify43.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5007	35

prune11.0ms

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: 0.0b

Counts

2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b

(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))

0.0b

(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

0.0b

(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-exp-log` `add-cbrt-cube`
55×	`*-un-lft-identity`
49×	`times-frac`
31×	`add-sqr-sqrt`
30×	`prod-exp` `cbrt-unprod`
27×	`add-cube-cbrt`
25×	`cbrt-undiv` `div-exp`
24×	`swap-sqr`
20×	`associate-r` `associate-l`
18×	`associate-/r/`
17×	`pow1`
12×	`distribute-lft-out`
10×	`flip3-+` `flip-+`
9×	`div-inv`
3×	`associate-/r` `associate-/l` `add-log-exp`
2×	`pow2` `frac-times` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `clear-num`

Counts

3 → 165

Calls

3 calls:

7.0ms

(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))

14.0ms

(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

15.0ms

(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series14.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms

(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))

3.0ms

(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

3.0ms

(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify62.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5061	2832

prune307.0ms

Filtered

108 candidates to 174 candidates (-61.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	172	2	174
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	173	3	176

Merged error: 0.0b

Counts

176 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(* t (/ t (* (+ 1.0 t) (+ 1.0 t))))
0.1b	(* t (/ t (* (+ 1.0 t) (+ 1.0 t))))
15.5b	(/ t (* (+ 1.0 t) (+ 1.0 t)))
15.5b	(/ t (* (+ 1.0 t) (+ 1.0 t)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
30×	`associate-r`
24×	`flip3-+` `flip-+`
22×	`add-sqr-sqrt`
16×	`frac-times`
14×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
10×	`associate-*r/` `prod-exp` `cbrt-unprod`
8×	`pow1` `cbrt-undiv` `div-exp` `associate-*l/`
6×	`associate-l` `associate-/l*`
4×	`div-inv` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r` `-commutative`

Counts

4 → 130

Calls

4 calls:

15.0ms	(* t (/ t (* (+ 1.0 t) (+ 1.0 t))))
13.0ms	(* t (/ t (* (+ 1.0 t) (+ 1.0 t))))
8.0ms	(/ t (* (+ 1.0 t) (+ 1.0 t)))
8.0ms	(/ t (* (+ 1.0 t) (+ 1.0 t)))

series13.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* t (/ t (* (+ 1.0 t) (+ 1.0 t))))
3.0ms	(* t (/ t (* (+ 1.0 t) (+ 1.0 t))))
3.0ms	(/ t (* (+ 1.0 t) (+ 1.0 t)))
4.0ms	(/ t (* (+ 1.0 t) (+ 1.0 t)))

simplify47.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4966	1604
1	4966	1604

prune244.0ms

Filtered

106 candidates to 142 candidates (-34.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	141	1	142
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	142	3	145

Merged error: 0b

Counts

145 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (* (/ t (+ t 1.0)) 2.0))
0.0b	(log (exp (/ (+ 1.0 (pow (sqrt (* (/ t (+ t 1.0)) 2.0)) 4)) (+ 2.0 (pow (sqrt (* (/ t (+ t 1.0)) 2.0)) 4)))))
0.6b	(pow (sqrt (* (/ t (+ t 1.0)) 2.0)) 4)
0.6b	(pow (sqrt (* (/ t (+ t 1.0)) 2.0)) 4)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
23×	`log-pow`
22×	`exp-prod`
18×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`pow1` `times-frac`
8×	`unpow-prod-down` `pow-pow` `distribute-lft-out`
6×	`add-exp-log` `pow-unpow` `sqrt-pow1`
4×	`add-cbrt-cube` `add-log-exp`
3×	`log-prod` `pow1/2` `pow-prod-down` `sqrt-prod`
2×	`pow-to-exp` `pow-exp` `associate-/r/` `sqrt-pow2` `sqr-pow`
1×	`flip3-+` `sqrt-div` `rem-log-exp` `associate-*l/` `flip-+` `div-inv`

Counts

4 → 90

Calls

4 calls:

6.0ms	(sqrt (* (/ t (+ t 1.0)) 2.0))
11.0ms	(log (exp (/ (+ 1.0 (pow (sqrt (* (/ t (+ t 1.0)) 2.0)) 4)) (+ 2.0 (pow (sqrt (* (/ t (+ t 1.0)) 2.0)) 4)))))
7.0ms	(pow (sqrt (* (/ t (+ t 1.0)) 2.0)) 4)
7.0ms	(pow (sqrt (* (/ t (+ t 1.0)) 2.0)) 4)

series66.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(sqrt (* (/ t (+ t 1.0)) 2.0))
33.0ms	(log (exp (/ (+ 1.0 (pow (sqrt (* (/ t (+ t 1.0)) 2.0)) 4)) (+ 2.0 (pow (sqrt (* (/ t (+ t 1.0)) 2.0)) 4)))))
14.0ms	(pow (sqrt (* (/ t (+ t 1.0)) 2.0)) 4)
13.0ms	(pow (sqrt (* (/ t (+ t 1.0)) 2.0)) 4)

simplify48.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4960	1953
1	4960	1953

prune258.0ms

Filtered

72 candidates to 102 candidates (-41.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	102	3	105

Merged error: 0b

Counts

105 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

1.5b	(pow (exp (/ t (* (+ t 1.0) (+ t 1.0)))) t)
1.8b	(log (pow (exp (/ t (* (+ t 1.0) (+ t 1.0)))) t))
15.5b	(/ t (* (+ 1.0 t) (+ 1.0 t)))
15.5b	(/ t (* (+ t 1.0) (+ t 1.0)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

24×	`associate-/r/`
18×	`flip3-+` `flip-+`
16×	`pow-pow`
15×	`add-exp-log` `exp-prod`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
12×	`frac-times`
9×	`times-frac`
7×	`log-prod`
6×	`unpow-prod-down` `associate-r/` `associate-l/` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`pow-unpow` `rem-log-exp` `div-inv`
2×	`pow-to-exp` `frac-2neg` `pow-exp` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `sqr-pow`
1×	`log-pow`

Counts

4 → 108

Calls

4 calls:

6.0ms	(pow (exp (/ t (* (+ t 1.0) (+ t 1.0)))) t)
5.0ms	(log (pow (exp (/ t (* (+ t 1.0) (+ t 1.0)))) t))
8.0ms	(/ t (* (+ 1.0 t) (+ 1.0 t)))
9.0ms	(/ t (* (+ t 1.0) (+ t 1.0)))

series34.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(pow (exp (/ t (* (+ t 1.0) (+ t 1.0)))) t)
20.0ms	(log (pow (exp (/ t (* (+ t 1.0) (+ t 1.0)))) t))
3.0ms	(/ t (* (+ 1.0 t) (+ 1.0 t)))
3.0ms	(/ t (* (+ t 1.0) (+ t 1.0)))

simplify58.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4970	1349
1	4970	1349

prune450.0ms

Filtered

90 candidates to 120 candidates (-33.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	120	3	123

Merged error: 0b

Counts

123 → 3

regimes40.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 12.8b

bsearch62.0ms

Steps

Iters	Range		Point
8	-9.890045291099455e-307	5.006462633952804e-307	-1.68677853164453e-310
9	-40954.406467794535	-0.04059124263318215	-13.881544274386412

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	73
1	47	73

end0.0ms

analyze5.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
50%	50%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

sample763.0ms

Algorithm

intervals

Results

663.0ms

8000×

body

valid

Details

analyze5.0ms

sample25.0ms

simplify43.0ms

prune11.0ms

localize8.0ms

rewrite43.0ms

series14.0ms

simplify62.0ms

prune307.0ms

localize11.0ms

rewrite49.0ms

series13.0ms

simplify47.0ms

prune244.0ms

localize17.0ms

rewrite34.0ms

series66.0ms

simplify48.0ms

prune258.0ms

localize20.0ms

rewrite32.0ms

series34.0ms

simplify58.0ms

prune450.0ms

regimes40.0ms

bsearch62.0ms

simplify1.0ms

end0.0ms

analyze5.0ms

sample763.0ms

Profiling