Details

analyze1.5s

Algorithm: search

sample43.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
8.0ms	140×	body	80	invalid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	10
1	112	10
2	384	10
3	1568	10
4	5001	10

prune5.0ms

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

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

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×	`associate-+l+` `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-+` `flip-+` `distribute-lft-out`

Counts

4 → 97

Calls

4 calls:

6.0ms	(* (- t 1.0) a)
11.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
8.0ms	(* (- (+ y t) 2.0) b)
6.0ms	(* (- y 1.0) z)

series65.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- t 1.0) a)
50.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
6.0ms	(* (- (+ y t) 2.0) b)
4.0ms	(* (- y 1.0) z)

simplify109.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	886	1273
1	4545	1219
2	5001	1219

prune192.0ms

Filtered

75 candidates to 109 candidates (-45.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	104	5	109
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	104	6	110

Merged error: 0.0b

Counts

110 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- t 1.0))
0.2b	(cbrt (- t 1.0))
0.2b	(cbrt (- t 1.0))
0.2b	(* (cbrt (- t 1.0)) (cbrt (- t 1.0)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

3.0ms	(cbrt (- t 1.0))
3.0ms	(cbrt (- t 1.0))
3.0ms	(cbrt (- t 1.0))
10.0ms	(* (cbrt (- t 1.0)) (cbrt (- t 1.0)))

series38.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(cbrt (- t 1.0))
7.0ms	(cbrt (- t 1.0))
10.0ms	(cbrt (- t 1.0))
12.0ms	(* (cbrt (- t 1.0)) (cbrt (- t 1.0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	368	950
1	1216	913
2	5001	856

prune290.0ms

Filtered

81 candidates to 113 candidates (-39.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	113	6	119

Merged error: 0.0b

Counts

119 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y 1.0) z)
0.0b	(sqrt (* (- t 1.0) a))
0.0b	(sqrt (* (- t 1.0) a))
0.3b	(* (sqrt (* (- t 1.0) a)) (sqrt (* (- t 1.0) a)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*l/`
16×	`add-sqr-sqrt` `sqrt-div`
12×	`*-un-lft-identity` `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` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 105

Calls

4 calls:

6.0ms	(* (- y 1.0) z)
5.0ms	(sqrt (* (- t 1.0) a))
5.0ms	(sqrt (* (- t 1.0) a))
13.0ms	(* (sqrt (* (- t 1.0) a)) (sqrt (* (- t 1.0) a)))

series36.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- y 1.0) z)
11.0ms	(sqrt (* (- t 1.0) a))
15.0ms	(sqrt (* (- t 1.0) a))
5.0ms	(* (sqrt (* (- t 1.0) a)) (sqrt (* (- t 1.0) a)))

simplify43.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	272	540
1	1087	478
2	5001	461

prune168.0ms

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

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- t 1.0) a)
0.0b	(* (- y 1.0) z)
0.1b	(* (- (+ y t) 2.0) (sqrt b))
0.2b	(* (* (- (+ y t) 2.0) (sqrt b)) (sqrt b))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`associate-r`
17×	`associate-l`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`add-cube-cbrt`
10×	`associate-*l/`
7×	`sqrt-prod`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`flip3--` `*-commutative` `flip--` `distribute-lft-out--` `add-log-exp` `unswap-sqr`
3×	`difference-of-squares`
1×	`distribute-lft-out`

Counts

4 → 94

Calls

4 calls:

6.0ms	(* (- t 1.0) a)
8.0ms	(* (- y 1.0) z)
9.0ms	(* (- (+ y t) 2.0) (sqrt b))
11.0ms	(* (* (- (+ y t) 2.0) (sqrt b)) (sqrt b))

series30.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- t 1.0) a)
4.0ms	(* (- y 1.0) z)
12.0ms	(* (- (+ y t) 2.0) (sqrt b))
10.0ms	(* (* (- (+ y t) 2.0) (sqrt b)) (sqrt b))

simplify47.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	428	540
1	1800	456
2	5001	452

prune111.0ms

Filtered

66 candidates to 106 candidates (-60.6%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	105	7	112

Merged error: 0b

Counts

112 → 7

regimes691.0ms

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	10
1	23	10

end0.0ms

analyze1.4s

Algorithm: search

sample1.1s

Algorithm

intervals

Results

449.0ms	7996×	body	80	valid
252.0ms	4575×	body	80	invalid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

Details

analyze1.5s

sample43.0ms

simplify39.0ms

prune5.0ms

localize16.0ms

rewrite35.0ms

series65.0ms

simplify109.0ms

prune192.0ms

localize20.0ms

rewrite22.0ms

series38.0ms

simplify45.0ms

prune290.0ms

localize18.0ms

rewrite32.0ms

series36.0ms

simplify43.0ms

prune168.0ms

localize17.0ms

rewrite36.0ms

series30.0ms

simplify47.0ms

prune111.0ms

regimes691.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze1.4s

sample1.1s

Profiling