Details

sample4.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 43.75%

Guaranteed chance to sample good point: 3.662109%

Results

25.0ms	342×	body	80	nan
22.0ms	256×	body	80	valid
7.0ms	33×	body	80	invalid

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	11
1	101	11
2	428	11
3	1514	11
4	4620	11
5	5001	11

prune6.0ms

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

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (log y)) z)
0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.2b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

5.0ms	(+ (* x (log y)) z)
17.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
6.0ms	(* (- b 0.5) (log c))
4.0ms	(* x (log y))

series94.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ (* x (log y)) z)
66.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
10.0ms	(* (- b 0.5) (log c))
7.0ms	(* x (log y))

simplify65.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	665	888
1	2567	831
2	5003	785

prune204.0ms

Filtered

74 candidates to 108 candidates (-45.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	96	12	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	12	109

Merged error: 0.0b

Counts

109 → 12

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (sqrt c)) (- b 0.5))) (* (- b 0.5) (log (sqrt c))))
0.2b	(* (log (sqrt c)) (- b 0.5))
0.2b	(* (- b 0.5) (log (sqrt c)))
0.3b	(* x (log y))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt` `log-prod`
24×	`*-un-lft-identity` `add-log-exp`
20×	`add-cube-cbrt` `frac-add`
17×	`distribute-rgt-in` `distribute-lft-in`
15×	`pow1` `associate-r` `sum-log`
14×	`associate-l` `associate-*l/`
12×	`associate-+r+` `flip3--` `sqrt-prod` `flip--`
10×	`add-exp-log` `associate-*r/` `add-cbrt-cube`
7×	`flip3-+` `log-pow` `flip-+`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`sub-neg` `sqrt-pow1` `pow1/2` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `associate-+l+`

Counts

4 → 131

Calls

4 calls:

19.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (sqrt c)) (- b 0.5))) (* (- b 0.5) (log (sqrt c))))
7.0ms	(* (log (sqrt c)) (- b 0.5))
7.0ms	(* (- b 0.5) (log (sqrt c)))
5.0ms	(* x (log y))

series103.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (sqrt c)) (- b 0.5))) (* (- b 0.5) (log (sqrt c))))
11.0ms	(* (log (sqrt c)) (- b 0.5))
7.0ms	(* (- b 0.5) (log (sqrt c)))
7.0ms	(* x (log y))

simplify122.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	1012	2060
1	4877	1896
2	5001	1896

prune262.0ms

Filtered

102 candidates to 143 candidates (-40.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	141	2	143
Fresh	2	9	11
Picked	1	0	1
Done	0	0	0
Total	144	11	155

Merged error: 0.0b

Counts

155 → 11

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log y))
0.3b	(+ (* (- b 0.5) (* 2 (log (cbrt (sqrt c))))) (* (- b 0.5) (log (cbrt (sqrt c)))))
0.6b	(cbrt (sqrt c))
0.6b	(cbrt (sqrt c))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 123

Calls

4 calls:

5.0ms	(* x (log y))
16.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt (sqrt c))))) (* (- b 0.5) (log (cbrt (sqrt c)))))
2.0ms	(cbrt (sqrt c))
2.0ms	(cbrt (sqrt c))

series68.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* x (log y))
30.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt (sqrt c))))) (* (- b 0.5) (log (cbrt (sqrt c)))))
15.0ms	(cbrt (sqrt c))
16.0ms	(cbrt (sqrt c))

simplify71.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	702	1277
1	2401	1130
2	5001	1078

prune264.0ms

Filtered

105 candidates to 135 candidates (-28.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	135	11	146

Merged error: 0.0b

Counts

146 → 11

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite22.0ms

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	(* x (log (cbrt y)))
10.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series84.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* x (log (cbrt y)))
21.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
23.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify51.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	362	765
1	1356	673
2	5002	593

prune141.0ms

Filtered

87 candidates to 114 candidates (-31.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	3	6	9
Picked	0	1	1
Done	0	1	1
Total	116	9	125

Merged error: 0.0b

Counts

125 → 9

regimes1.7s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	25
1	42	25

end0.0ms

sample7.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 43.75%

Guaranteed chance to sample good point: 3.662109%

Results

902.0ms	11517×	body	80	nan
709.0ms	7999×	body	80	valid
109.0ms	1233×	body	80	invalid
0.0ms	1×	body	640	valid

Details

sample4.6s

simplify75.0ms

prune6.0ms

localize18.0ms

rewrite35.0ms

series94.0ms

simplify65.0ms

prune204.0ms

localize23.0ms

rewrite43.0ms

series103.0ms

simplify122.0ms

prune262.0ms

localize34.0ms

rewrite30.0ms

series68.0ms

simplify71.0ms

prune264.0ms

localize23.0ms

rewrite22.0ms

series84.0ms

simplify51.0ms

prune141.0ms

regimes1.7s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample7.8s

Profiling