Details

analyze3.9s

Algorithm

sampling

Space saved by range analysis: 0.292611%

Space saved by search: 1.655798%

Guaranteed chance to sample good point: 5.154703%

sample37.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
7.0ms	135×	body	80	invalid

simplify38.0ms

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

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

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)
8.0ms	(* (- (+ y t) 2.0) b)
12.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
9.0ms	(* (- y 1.0) z)

series66.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- t 1.0) a)
9.0ms	(* (- (+ y t) 2.0) b)
48.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ 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

prune184.0ms

Filtered

75 candidates to 109 candidates (-45.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	105	4	109
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	105	5	110

Merged error: 0b

Counts

110 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt b) (cbrt b))
0.6b	(cbrt b)
0.6b	(cbrt b)
0.6b	(cbrt b)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt b) (cbrt b))
1.0ms	(cbrt b)
1.0ms	(cbrt b)
1.0ms	(cbrt b)

series96.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt b) (cbrt b))
22.0ms	(cbrt b)
24.0ms	(cbrt b)
25.0ms	(cbrt b)

simplify73.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	148	349
1	471	322
2	2276	265
3	5002	252

prune95.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	85	5	90

Merged error: 0b

Counts

90 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (cbrt (- (+ y t) 2.0)) (cbrt (- (+ y t) 2.0))) (* (cbrt (- (+ y t) 2.0)) b))
0.7b	(cbrt (- (+ y t) 2.0))
0.7b	(cbrt (- (+ y t) 2.0))
0.7b	(cbrt (- (+ y t) 2.0))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*l/`
30×	`flip3--` `flip--`
28×	`frac-times`
22×	`*-un-lft-identity`
18×	`cbrt-prod`
16×	`pow1` `add-exp-log`
13×	`add-sqr-sqrt`
10×	`add-cbrt-cube`
8×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-cube-cbrt`
6×	`distribute-lft-out--`
4×	`add-log-exp`
3×	`pow1/3` `distribute-lft-out` `difference-of-squares`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 96

Calls

4 calls:

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

series83.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* (* (cbrt (- (+ y t) 2.0)) (cbrt (- (+ y t) 2.0))) (* (cbrt (- (+ y t) 2.0)) b))
26.0ms	(cbrt (- (+ y t) 2.0))
23.0ms	(cbrt (- (+ y t) 2.0))
23.0ms	(cbrt (- (+ y t) 2.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	473	1576
1	1304	1392
2	5001	1330

prune216.0ms

Filtered

69 candidates to 108 candidates (-56.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	108	5	113

Merged error: 0b

Counts

113 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y 1.0) z)
0.0b	(sqrt (* (- (+ y t) 2.0) b))
0.0b	(sqrt (* (- (+ y t) 2.0) b))
0.3b	(* (sqrt (* (- (+ y t) 2.0) b)) (sqrt (* (- (+ y t) 2.0) b)))

rewrite45.0ms

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)
7.0ms	(sqrt (* (- (+ y t) 2.0) b))
9.0ms	(sqrt (* (- (+ y t) 2.0) b))
19.0ms	(* (sqrt (* (- (+ y t) 2.0) b)) (sqrt (* (- (+ y t) 2.0) b)))

series48.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- y 1.0) z)
19.0ms	(sqrt (* (- (+ y t) 2.0) b))
18.0ms	(sqrt (* (- (+ y t) 2.0) b))
7.0ms	(* (sqrt (* (- (+ y t) 2.0) b)) (sqrt (* (- (+ y t) 2.0) b)))

simplify44.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	317	686
1	1285	608
2	5002	586

prune141.0ms

Filtered

68 candidates to 117 candidates (-72.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	117	5	122

Merged error: 0b

Counts

122 → 5

regimes550.0ms

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

analyze3.9s

Algorithm

sampling

Space saved by range analysis: 0.292611%

Space saved by search: 1.655798%

Guaranteed chance to sample good point: 5.154703%

sample1.3s

Algorithm

intervals

Results

460.0ms	4400×	body	80	invalid
421.0ms	7996×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

Details

analyze3.9s

sample37.0ms

simplify38.0ms

prune5.0ms

localize14.0ms

rewrite39.0ms

series66.0ms

simplify109.0ms

prune184.0ms

localize18.0ms

rewrite11.0ms

series96.0ms

simplify73.0ms

prune95.0ms

localize17.0ms

rewrite47.0ms

series83.0ms

simplify47.0ms

prune216.0ms

localize16.0ms

rewrite45.0ms

series48.0ms

simplify44.0ms

prune141.0ms

regimes550.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze3.9s

sample1.3s

Profiling