Details

analyze1.6s

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

sample88.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4977	21
1	4977	21

prune11.0ms

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

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

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

series79.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
46.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
4.0ms	(* (- t 1.0) a)
6.0ms	(* (- (+ y t) 2.0) b)

simplify38.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4978	2749
1	4978	2749

prune210.0ms

Filtered

80 candidates to 103 candidates (-28.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	98	5	103
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	98	6	104

Merged error: 0.0b

Counts

104 → 6

localize41.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (cbrt (- (+ y t) 2.0)) (cbrt (- (+ y t) 2.0))) (* b (cbrt (+ y (- t 2.0)))))
0.7b	(cbrt (- (+ y t) 2.0))
0.7b	(cbrt (- (+ y t) 2.0))
0.7b	(cbrt (+ y (- t 2.0)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
28×	`frac-times`
26×	`associate-*r/`
22×	`*-un-lft-identity`
20×	`flip3--` `flip--`
17×	`cbrt-prod`
16×	`pow1` `add-exp-log`
14×	`associate-*l/`
11×	`add-sqr-sqrt`
10×	`flip3-+` `add-cbrt-cube` `flip-+`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-cube-cbrt`
5×	`distribute-lft-out--`
4×	`distribute-lft-out` `add-log-exp`
3×	`pow1/3`
2×	`difference-of-squares`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 95

Calls

4 calls:

24.0ms	(* (* (cbrt (- (+ y t) 2.0)) (cbrt (- (+ y t) 2.0))) (* b (cbrt (+ y (- t 2.0)))))
5.0ms	(cbrt (- (+ y t) 2.0))
7.0ms	(cbrt (- (+ y t) 2.0))
7.0ms	(cbrt (+ y (- t 2.0)))

series82.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (* (cbrt (- (+ y t) 2.0)) (cbrt (- (+ y t) 2.0))) (* b (cbrt (+ y (- t 2.0)))))
25.0ms	(cbrt (- (+ y t) 2.0))
23.0ms	(cbrt (- (+ y t) 2.0))
24.0ms	(cbrt (+ y (- t 2.0)))

simplify58.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4927	2068
1	4927	2068

prune255.0ms

Filtered

77 candidates to 107 candidates (-39.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	107	6	113

Merged error: 0.0b

Counts

113 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ y (- t 2.0)) b)
0.0b	(sqrt (* (+ y (- t 2.0)) b))
0.0b	(sqrt (* (+ y (- t 2.0)) b))
0.2b	(* (sqrt (* (+ y (- t 2.0)) b)) (sqrt (* (+ y (- t 2.0)) b)))

rewrite53.0ms

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:

13.0ms	(* (+ y (- t 2.0)) b)
11.0ms	(sqrt (* (+ y (- t 2.0)) b))
6.0ms	(sqrt (* (+ y (- t 2.0)) b))
16.0ms	(* (sqrt (* (+ y (- t 2.0)) b)) (sqrt (* (+ y (- t 2.0)) b)))

series49.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify33.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5330	1135

prune173.0ms

Filtered

68 candidates to 117 candidates (-72.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	117	6	123

Merged error: 0.0b

Counts

123 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- x (+ (* (- t 1.0) a) (* (- y 1.0) z))))
0.0b	(sqrt (- x (+ (* (- t 1.0) a) (* (- y 1.0) z))))
0.0b	(* (- (+ y t) 2.0) b)
0.2b	(* (sqrt (- x (+ (* (- t 1.0) a) (* (- y 1.0) z)))) (sqrt (- x (+ (* (- t 1.0) a) (* (- y 1.0) z)))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
40×	`sqrt-prod`
39×	`*-un-lft-identity`
23×	`pow1`
16×	`add-cube-cbrt` `sqrt-div`
14×	`associate-l`
12×	`swap-sqr`
11×	`associate-r`
10×	`sqrt-pow1` `pow1/2` `distribute-lft-out--`
9×	`flip3--` `flip--`
8×	`add-exp-log` `add-cbrt-cube`
7×	`difference-of-squares`
5×	`pow-prod-up` `unswap-sqr`
4×	`frac-times` `pow-prod-down` `associate-*l/` `add-log-exp`
3×	`pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `prod-exp` `-commutative` `cbrt-unprod`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out`

Counts

4 → 122

Calls

4 calls:

7.0ms	(sqrt (- x (+ (* (- t 1.0) a) (* (- y 1.0) z))))
7.0ms	(sqrt (- x (+ (* (- t 1.0) a) (* (- y 1.0) z))))
8.0ms	(* (- (+ y t) 2.0) b)
20.0ms	(* (sqrt (- x (+ (* (- t 1.0) a) (* (- y 1.0) z)))) (sqrt (- x (+ (* (- t 1.0) a) (* (- y 1.0) z)))))

series243.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(sqrt (- x (+ (* (- t 1.0) a) (* (- y 1.0) z))))
82.0ms	(sqrt (- x (+ (* (- t 1.0) a) (* (- y 1.0) z))))
6.0ms	(* (- (+ y t) 2.0) b)
73.0ms	(* (sqrt (- x (+ (* (- t 1.0) a) (* (- y 1.0) z)))) (sqrt (- x (+ (* (- t 1.0) a) (* (- y 1.0) z)))))

simplify56.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4979	2461
1	4979	2461

prune211.0ms

Filtered

81 candidates to 134 candidates (-65.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	133	1	134
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	133	7	140

Merged error: 0.0b

Counts

140 → 7

regimes813.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify8.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	348	21
1	348	21

end0.0ms

sample2.7s

Algorithm

intervals

Results

452.0ms	7996×	body	80	valid
1.0ms	3×	body	320	valid
0.0ms	1×	body	640	valid

Details

analyze1.6s

sample88.0ms

simplify55.0ms

prune11.0ms

localize19.0ms

rewrite35.0ms

series79.0ms

simplify38.0ms

prune210.0ms

localize41.0ms

rewrite48.0ms

series82.0ms

simplify58.0ms

prune255.0ms

localize19.0ms

rewrite53.0ms

series49.0ms

simplify33.0ms

prune173.0ms

localize20.0ms

rewrite45.0ms

series243.0ms

simplify56.0ms

prune211.0ms

regimes813.0ms

bsearch0.0ms

simplify8.0ms

end0.0ms

sample2.7s

Profiling