Details

analyze862.0ms

Algorithm

sampling

Space saved by range analysis: 0.243902%

Space saved by search: 83.749449%

Guaranteed chance to sample good point: 38.816036%

sample38.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
5.0ms	75×	body	80	nan

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	9
1	59	9
2	153	9
3	360	9
4	813	9
5	1639	9
6	3143	9
7	5001	9

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: 0.3b

Counts

2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.2b	(* (- a 0.5) (log t))
0.7b	(+ (log (+ x y)) (log z))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
19×	`log-prod`
18×	`add-sqr-sqrt`
15×	`pow1`
14×	`add-log-exp`
12×	`add-cube-cbrt`
9×	`associate-+r+` `log-pow` `distribute-lft-out`
7×	`associate-+l+`
6×	`add-exp-log` `distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*l/` `sum-log` `add-cbrt-cube` `flip--` `distribute-lft-out--`
5×	`associate-+l-` `associate-l`
4×	`log-div` `flip3-+` `diff-log` `associate-r` `frac-add` `flip-+`
2×	`+-commutative` `associate--l-` `sub-neg` `associate--l+` `difference-of-squares`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

8.0ms	(- (+ (log (+ x y)) (log z)) t)
12.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
7.0ms	(* (- a 0.5) (log t))
7.0ms	(+ (log (+ x y)) (log z))

series112.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- (+ (log (+ x y)) (log z)) t)
55.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
10.0ms	(* (- a 0.5) (log t))
14.0ms	(+ (log (+ x y)) (log z))

simplify61.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	681	1040
1	2483	977
2	5001	932

prune194.0ms

Filtered

80 candidates to 114 candidates (-42.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	104	10	114
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	10	115

Merged error: 0.0b

Counts

115 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
13×	`pow1`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`log-pow` `distribute-lft-out`
5×	`log-prod`
4×	`add-exp-log` `associate-+l+` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3`
2×	`associate-+l-` `log-div` `flip3-+` `pow-prod-down` `flip-+`
1×	`+-commutative` `associate-+r+` `sum-log`

Counts

4 → 57

Calls

4 calls:

11.0ms	(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series106.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))
22.0ms	(cbrt z)
22.0ms	(cbrt z)
24.0ms	(cbrt z)

simplify48.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (41.0ms)

Iter	Nodes	Cost
0	221	414
1	508	383
2	1559	342
3	5001	335

prune129.0ms

Filtered

52 candidates to 69 candidates (-32.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	69	10	79

Merged error: 0.0b

Counts

79 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (+ (* (- a 0.5) (log (sqrt t))) (* (- a 0.5) (log (sqrt t)))))
0.2b	(* (- a 0.5) (log (sqrt t)))
0.2b	(* (- a 0.5) (log (sqrt t)))
0.7b	(+ (log (+ x y)) (log z))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

45×	`*-un-lft-identity`
31×	`log-prod`
26×	`add-sqr-sqrt`
21×	`add-log-exp`
20×	`pow1` `associate-*l/` `frac-add`
18×	`add-cube-cbrt`
16×	`flip3--` `flip--`
15×	`distribute-lft-out`
14×	`log-pow`
12×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `sum-log` `sqrt-prod`
10×	`associate-l`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-+l+` `distribute-lft-out--`
5×	`flip3-+` `flip-+`
4×	`associate-+r+` `diff-log`
3×	`associate-+l-`
2×	`+-commutative` `log-div` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `associate--l+`

Counts

4 → 137

Calls

4 calls:

21.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (+ (* (- a 0.5) (log (sqrt t))) (* (- a 0.5) (log (sqrt t)))))
8.0ms	(* (- a 0.5) (log (sqrt t)))
8.0ms	(* (- a 0.5) (log (sqrt t)))
7.0ms	(+ (log (+ x y)) (log z))

series94.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (+ (* (- a 0.5) (log (sqrt t))) (* (- a 0.5) (log (sqrt t)))))
7.0ms	(* (- a 0.5) (log (sqrt t)))
7.0ms	(* (- a 0.5) (log (sqrt t)))
15.0ms	(+ (log (+ x y)) (log z))

simplify148.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (129.0ms)

Iter	Nodes	Cost
0	888	2050
1	4303	1740
2	5001	1714

prune211.0ms

Filtered

95 candidates to 149 candidates (-56.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	146	3	149
Fresh	1	7	8
Picked	1	0	1
Done	0	1	1
Total	148	11	159

Merged error: 0.0b

Counts

159 → 11

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.7b	(+ (log (+ x y)) (log z))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

43×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
28×	`associate-+l+`
26×	`*-un-lft-identity`
24×	`cbrt-prod`
20×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`associate-+r+`
8×	`pow1` `associate-*l/`
6×	`distribute-lft-out` `add-log-exp`
4×	`add-exp-log` `flip3--` `frac-add` `log-pow` `add-cbrt-cube` `flip--`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `associate-+l-` `log-div` `pow1/3` `sum-log`

Counts

4 → 98

Calls

4 calls:

13.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
6.0ms	(+ (log (+ x y)) (log z))

series99.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
23.0ms	(cbrt t)
24.0ms	(cbrt t)
14.0ms	(+ (log (+ x y)) (log z))

simplify63.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	637	941
1	2068	825
2	5001	778

prune160.0ms

Filtered

95 candidates to 110 candidates (-15.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	107	3	110
Fresh	3	6	9
Picked	1	0	1
Done	0	1	1
Total	111	10	121

Merged error: 0b

Counts

121 → 10

regimes1.3s

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	15
1	24	15

end0.0ms

analyze861.0ms

Algorithm

sampling

Space saved by range analysis: 0.243902%

Space saved by search: 83.749449%

Guaranteed chance to sample good point: 38.816036%

sample1.1s

Algorithm

intervals

Results

587.0ms	8000×	body	80	valid
164.0ms	2453×	body	80	nan
2.0ms	35×	body	80	invalid

Details

analyze862.0ms

sample38.0ms

simplify59.0ms

prune5.0ms

localize19.0ms

rewrite37.0ms

series112.0ms

simplify61.0ms

prune194.0ms

localize20.0ms

rewrite17.0ms

series106.0ms

simplify48.0ms

prune129.0ms

localize17.0ms

rewrite50.0ms

series94.0ms

simplify148.0ms

prune211.0ms

localize20.0ms

rewrite27.0ms

series99.0ms

simplify63.0ms

prune160.0ms

regimes1.3s

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze861.0ms

sample1.1s

Profiling