Details

analyze1.4s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.7%	98%	0.3%	13
2.5%	97.2%	0.3%	14

sample43.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
8.0ms	148×	body	80	invalid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	576	21
1	576	21

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
0.0b	(* (- y 1.0) z)
0.0b	(* (- t 1.0) a)
0.0b	(* (- (+ y t) 2.0) b)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

26×	`associate-*l/`
22×	`add-sqr-sqrt`
19×	`flip3--` `*-un-lft-identity` `flip--`
16×	`associate-l`
13×	`add-log-exp`
12×	`frac-add`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
9×	`associate-r`
8×	`frac-sub`
4×	`distribute-lft-out--`
3×	`diff-log` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
2×	`sub-neg` `associate-+l+`
1×	`+-commutative` `associate-+l-` `flip3-+` `associate--l+` `flip-+` `distribute-lft-out`

Counts

4 → 95

Calls

4 calls:

12.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
8.0ms	(* (- y 1.0) z)
6.0ms	(* (- t 1.0) a)
8.0ms	(* (- (+ y t) 2.0) b)

series65.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
4.0ms	(* (- y 1.0) z)
4.0ms	(* (- t 1.0) a)
7.0ms	(* (- (+ y t) 2.0) b)

simplify57.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5209	2271

prune171.0ms

Filtered

78 candidates to 107 candidates (-37.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	104	3	107
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	104	4	108

Merged error: 0b

Counts

108 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ y (- t 2.0)) b)) (cbrt (* (+ y (- t 2.0)) b)))
0.6b	(cbrt (* (+ y (- t 2.0)) b))
0.6b	(cbrt (* (+ y (- t 2.0)) b))
0.6b	(cbrt (* (+ y (- t 2.0)) b))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

6.0ms	(* (cbrt (* (+ y (- t 2.0)) b)) (cbrt (* (+ y (- t 2.0)) b)))
6.0ms	(cbrt (* (+ y (- t 2.0)) b))
9.0ms	(cbrt (* (+ y (- t 2.0)) b))
6.0ms	(cbrt (* (+ y (- t 2.0)) b))

series139.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (cbrt (* (+ y (- t 2.0)) b)) (cbrt (* (+ y (- t 2.0)) b)))
32.0ms	(cbrt (* (+ y (- t 2.0)) b))
28.0ms	(cbrt (* (+ y (- t 2.0)) b))
31.0ms	(cbrt (* (+ y (- t 2.0)) b))

simplify42.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5360	1195

prune190.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	84	4	88

Merged error: 0b

Counts

88 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ y (- t 2.0)) b)
0.1b	(sqrt (* (+ y (- t 2.0)) b))
0.1b	(sqrt (* (+ y (- t 2.0)) b))
0.3b	(* (sqrt (* (+ y (- t 2.0)) b)) (sqrt (* (+ y (- t 2.0)) b)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*l/`
16×	`sqrt-div`
15×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3-+` `associate-l` `flip-+`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-r`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`associate-r/` `prod-exp` `-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out--`

Counts

4 → 105

Calls

4 calls:

8.0ms	(* (+ y (- t 2.0)) b)
6.0ms	(sqrt (* (+ y (- t 2.0)) b))
8.0ms	(sqrt (* (+ y (- t 2.0)) b))
17.0ms	(* (sqrt (* (+ y (- t 2.0)) b)) (sqrt (* (+ y (- t 2.0)) b)))

series52.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (+ y (- t 2.0)) b)
19.0ms	(sqrt (* (+ y (- t 2.0)) b))
19.0ms	(sqrt (* (+ y (- t 2.0)) b))
7.0ms	(* (sqrt (* (+ y (- t 2.0)) b)) (sqrt (* (+ y (- t 2.0)) b)))

simplify62.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4875	1078
1	4875	1078

prune143.0ms

Filtered

67 candidates to 117 candidates (-74.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	117	4	121

Merged error: 0b

Counts

121 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* t (- b a))
0.0b	(+ (* y b) (* t (- b a)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

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

series18.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(* t (- b a))
10.0ms	(+ (* y b) (* t (- b a)))

simplify50.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4961	357
1	4961	357

prune35.0ms

Filtered

30 candidates to 43 candidates (-43.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	43	4	47

Merged error: 0b

Counts

47 → 4

regimes512.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	21
1	23	21

end0.0ms

analyze1.4s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.7%	98%	0.3%	13
2.5%	97.2%	0.3%	14

sample1.1s

Algorithm

intervals

Results

441.0ms	7996×	body	80	valid
240.0ms	4489×	body	80	invalid
0.0ms	2×	body	160	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

Details

analyze1.4s

sample43.0ms

simplify9.0ms

prune9.0ms

localize14.0ms

rewrite38.0ms

series65.0ms

simplify57.0ms

prune171.0ms

localize18.0ms

rewrite30.0ms

series139.0ms

simplify42.0ms

prune190.0ms

localize16.0ms

rewrite43.0ms

series52.0ms

simplify62.0ms

prune143.0ms

localize6.0ms

rewrite13.0ms

series18.0ms

simplify50.0ms

prune35.0ms

regimes512.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze1.4s

sample1.1s

Profiling