Details

analyze686.0ms

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
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
12.5%	85.6%	1.9%	11
19.8%	76.5%	3.7%	12
26.1%	64.4%	9.6%	13
31.7%	54.5%	13.7%	14

sample43.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify80.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	1581	9
1	1581	9

prune3.0ms

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y z) (- t x)))
0.0b	(* (- y z) (- t x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`flip3--` `flip--`
5×	`associate-r` `associate-l`
4×	`pow1` `add-exp-log` `frac-times` `add-cube-cbrt` `sub-neg` `add-cbrt-cube` `add-log-exp`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `associate-r/` `associate-l/` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 45

Calls

2 calls:

4.0ms	(+ x (* (- y z) (- t x)))
9.0ms	(* (- y z) (- t x))

series23.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ x (* (- y z) (- t x)))
9.0ms	(* (- y z) (- t x))

simplify34.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5066	573

prune67.0ms

Filtered

40 candidates to 51 candidates (-27.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	47	4	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	4	52

Merged error: 0b

Counts

52 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (+ (* (- y z) t) (* (- y z) (neg x))))
0.0b	(* (- y z) t)
0.0b	(+ (* (- y z) t) (* (- y z) (neg x)))
0.0b	(* (- y z) (neg x))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`associate-r`
12×	`associate-*l/`
11×	`add-log-exp`
10×	`add-cube-cbrt` `associate-l`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`flip3--` `flip--`
4×	`frac-add` `sum-log`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `distribute-rgt-neg-out`
2×	`+-commutative` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`associate-+r-` `neg-mul-1` `associate-+r+`

Counts

4 → 84

Calls

4 calls:

8.0ms	(+ x (+ (* (- y z) t) (* (- y z) (neg x))))
6.0ms	(* (- y z) t)
8.0ms	(+ (* (- y z) t) (* (- y z) (neg x)))
7.0ms	(* (- y z) (neg x))

series43.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ x (+ (* (- y z) t) (* (- y z) (neg x))))
6.0ms	(* (- y z) t)
12.0ms	(+ (* (- y z) t) (* (- y z) (neg x)))
8.0ms	(* (- y z) (neg x))

simplify42.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5213	889

prune95.0ms

Filtered

76 candidates to 96 candidates (-26.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	96	4	100

Merged error: 0b

Counts

100 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* (- t x) (- (* y y) (* z z))) (+ y z)))
2.2b	(- (* y y) (* z z))
5.0b	(* (- t x) (- (* y y) (* z z)))
24.0b	(/ (* (- t x) (- (* y y) (* z z))) (+ y z))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
13×	`flip3--` `flip--`
12×	`add-sqr-sqrt`
11×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `add-cube-cbrt` `associate-/l/` `add-log-exp`
6×	`pow1`
5×	`associate-l`
4×	`times-frac` `associate-r/` `associate-r` `associate-l/` `associate-/r*`
3×	`sub-neg` `distribute-lft-out` `difference-of-squares`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 88

Calls

4 calls:

7.0ms	(+ x (/ (* (- t x) (- (* y y) (* z z))) (+ y z)))
4.0ms	(- (* y y) (* z z))
9.0ms	(* (- t x) (- (* y y) (* z z)))
12.0ms	(/ (* (- t x) (- (* y y) (* z z))) (+ y z))

series127.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(+ x (/ (* (- t x) (- (* y y) (* z z))) (+ y z)))
6.0ms	(- (* y y) (* z z))
25.0ms	(* (- t x) (- (* y y) (* z z)))
36.0ms	(/ (* (- t x) (- (* y y) (* z z))) (+ y z))

simplify59.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5008	1339

prune111.0ms

Filtered

78 candidates to 100 candidates (-28.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	2	0	2
Picked	1	0	1
Done	0	1	1
Total	101	3	104

Merged error: 0b

Counts

104 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac`
179×	`*-un-lft-identity`
177×	`add-sqr-sqrt`
89×	`add-cube-cbrt`
44×	`distribute-lft-out--` `difference-of-squares`
26×	`associate-/r*`
16×	`add-exp-log`
15×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`flip3--` `div-exp` `flip--` `div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
2×	`rec-exp` `frac-2neg` `1-exp` `div-sub` `clear-num` `associate-/l/`
1×	`+-commutative` `associate-+r-` `pow-flip` `flip3-+` `sum-log` `flip-+` `distribute-lft-out` `inv-pow`

Counts

3 → 205

Calls

3 calls:

28.0ms	(+ x (/ (- t x) (/ 1 (- y z))))
5.0ms	(/ 1 (- y z))
12.0ms	(/ (- t x) (/ 1 (- y z)))

series28.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(+ x (/ (- t x) (/ 1 (- y z))))
4.0ms	(/ 1 (- y z))
9.0ms	(/ (- t x) (/ 1 (- y z)))

simplify59.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5277	2992

prune146.0ms

Filtered

118 candidates to 214 candidates (-81.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	214	0	214
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	214	3	217

Merged error: 0b

Counts

217 → 3

regimes250.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	229	13
1	229	13

end0.0ms

sample997.0ms

Algorithm

intervals

Results

194.0ms

8000×

body

valid

Details

analyze686.0ms

sample43.0ms

simplify80.0ms

prune3.0ms

localize6.0ms

rewrite14.0ms

series23.0ms

simplify34.0ms

prune67.0ms

localize8.0ms

rewrite31.0ms

series43.0ms

simplify42.0ms

prune95.0ms

localize13.0ms

rewrite34.0ms

series127.0ms

simplify59.0ms

prune111.0ms

localize8.0ms

rewrite59.0ms

series28.0ms

simplify59.0ms

prune146.0ms

regimes250.0ms

bsearch0.0ms

simplify5.0ms

end0.0ms

sample997.0ms

Profiling