Details

sample3.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 25%

Guaranteed chance to sample good point: 21.940104%

Results

15.0ms	256×	body	80	valid
7.0ms	147×	body	80	nan
2.0ms	42×	body	80	invalid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	8
1	85	8
2	273	8
3	800	8
4	2123	8
5	5001	8

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: 0.1b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
0.0b	(* (- a 0.5) b)
0.1b	(- (+ (+ x y) z) (* z (log t)))
0.3b	(* z (log t))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

11.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
6.0ms	(* (- a 0.5) b)
8.0ms	(- (+ (+ x y) z) (* z (log t)))
7.0ms	(* z (log t))

series61.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
4.0ms	(* (- a 0.5) b)
11.0ms	(- (+ (+ x y) z) (* z (log t)))
7.0ms	(* z (log t))

simplify73.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	557	780
1	2647	719
2	5001	707

prune151.0ms

Filtered

72 candidates to 102 candidates (-41.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	94	8	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	8	103

Merged error: 0.0b

Counts

103 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(* z (log (cbrt t)))
0.3b	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

5.0ms	(* z (log (cbrt t)))
10.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series87.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* z (log (cbrt t)))
24.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
21.0ms	(cbrt t)
22.0ms	(cbrt t)

simplify49.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	358	765
1	1328	673
2	5002	593

prune162.0ms

Filtered

86 candidates to 114 candidates (-32.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	114	8	122

Merged error: 0b

Counts

122 → 8

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(* z (+ (* 2 (log (cbrt t))) (log (cbrt (sqrt t)))))
0.6b	(cbrt (sqrt t))
0.6b	(cbrt (sqrt t))
0.6b	(cbrt t)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube`
4×	`add-log-exp`
3×	`pow1/3` `associate-r` `associate-l`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 61

Calls

4 calls:

7.0ms	(* z (+ (* 2 (log (cbrt t))) (log (cbrt (sqrt t)))))
2.0ms	(cbrt (sqrt t))
2.0ms	(cbrt (sqrt t))
1.0ms	(cbrt t)

series94.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* z (+ (* 2 (log (cbrt t))) (log (cbrt (sqrt t)))))
16.0ms	(cbrt (sqrt t))
17.0ms	(cbrt (sqrt t))
24.0ms	(cbrt t)

simplify41.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	352	518
1	1374	463
2	5001	424

prune128.0ms

Filtered

55 candidates to 73 candidates (-32.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	73	8	81

Merged error: 0b

Counts

81 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (+ (+ x y) z) (* (log (sqrt t)) z))
0.1b	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
0.3b	(* (log (sqrt t)) z)
0.3b	(* z (log (sqrt t)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-log-exp`
24×	`log-prod`
20×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1` `distribute-rgt-in` `distribute-lft-in` `sqrt-prod` `associate--r+`
10×	`diff-log`
9×	`associate-r` `associate-l`
8×	`add-exp-log` `add-cbrt-cube`
6×	`sum-log` `log-pow`
5×	`associate--l+`
3×	`sub-neg`
2×	`flip3--` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`associate--l-`

Counts

4 → 100

Calls

4 calls:

8.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
12.0ms	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
5.0ms	(* (log (sqrt t)) z)
6.0ms	(* z (log (sqrt t)))

series51.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
15.0ms	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
14.0ms	(* (log (sqrt t)) z)
9.0ms	(* z (log (sqrt t)))

simplify56.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	435	919
1	2071	813
2	5001	784

prune98.0ms

Filtered

75 candidates to 112 candidates (-49.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	112	8	120

Merged error: 0b

Counts

120 → 8

regimes1.1s

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	14
1	28	14

end0.0ms

sample4.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 25%

Guaranteed chance to sample good point: 21.940104%

Results

494.0ms	7999×	body	80	valid
245.0ms	4714×	body	80	nan
72.0ms	1201×	body	80	invalid
0.0ms	1×	body	1280	valid

Details

sample3.2s

simplify50.0ms

prune5.0ms

localize12.0ms

rewrite35.0ms

series61.0ms

simplify73.0ms

prune151.0ms

localize21.0ms

rewrite21.0ms

series87.0ms

simplify49.0ms

prune162.0ms

localize23.0ms

rewrite13.0ms

series94.0ms

simplify41.0ms

prune128.0ms

localize16.0ms

rewrite34.0ms

series51.0ms

simplify56.0ms

prune98.0ms

regimes1.1s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.6s

Profiling