Details

analyze237.0ms

Algorithm: search

sample21.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify146.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	6
1	61	6
2	192	6
3	649	6
4	1602	6
5	2720	6
6	3667	6
7	4387	6
8	4711	6
9	4938	6
10	5002	6

prune3.0ms

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: 0.2b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

3.0ms	(- x (* (+ y 0.5) (log y)))
7.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
5.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
6.0ms	(* (+ y 0.5) (log y))

series56.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- x (* (+ y 0.5) (log y)))
17.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
10.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
20.0ms	(* (+ y 0.5) (log y))

simplify49.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	475	684
1	1731	613
2	5002	594

prune129.0ms

Filtered

67 candidates to 93 candidates (-38.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	86	7	93
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	86	8	94

Merged error: 0.0b

Counts

94 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ y 0.5))
0.1b	(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
0.4b	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
0.4b	(* (sqrt (+ y 0.5)) (log y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
21×	`add-sqr-sqrt`
18×	`log-prod`
16×	`add-cube-cbrt` `sqrt-div`
15×	`distribute-rgt-in` `distribute-lft-in`
14×	`associate-l`
13×	`pow1` `sqrt-prod`
11×	`add-exp-log` `add-cbrt-cube`
10×	`associate-*l/`
9×	`flip3-+` `flip-+` `add-log-exp`
5×	`associate-r`
4×	`frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out`
2×	`associate-+l+` `associate-r/` `sum-log` `-commutative` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `diff-log` `log-pow`

Counts

4 → 106

Calls

4 calls:

3.0ms	(sqrt (+ y 0.5))
5.0ms	(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
14.0ms	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
7.0ms	(* (sqrt (+ y 0.5)) (log y))

series45.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sqrt (+ y 0.5))
10.0ms	(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
20.0ms	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
12.0ms	(* (sqrt (+ y 0.5)) (log y))

simplify75.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	747	1109
1	2897	962
2	5002	926

prune199.0ms

Filtered

76 candidates to 118 candidates (-55.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	117	9	126

Merged error: 0b

Counts

126 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt (+ y 0.5)) (* 2 (log (cbrt y))))
0.4b	(* (sqrt (+ y 0.5)) (log (cbrt y)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
27×	`add-sqr-sqrt` `*-un-lft-identity`
24×	`cbrt-prod`
23×	`add-cube-cbrt`
14×	`associate-l`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
9×	`sqrt-prod`
6×	`associate-r`
4×	`sqrt-div` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`flip3-+` `log-pow` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 109

Calls

4 calls:

10.0ms	(* (sqrt (+ y 0.5)) (* 2 (log (cbrt y))))
10.0ms	(* (sqrt (+ y 0.5)) (log (cbrt y)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series86.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (sqrt (+ y 0.5)) (* 2 (log (cbrt y))))
18.0ms	(* (sqrt (+ y 0.5)) (log (cbrt y)))
21.0ms	(cbrt y)
22.0ms	(cbrt y)

simplify80.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	738	1281
1	2760	1210
2	5001	1144

prune240.0ms

Filtered

75 candidates to 121 candidates (-61.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	121	9	130

Merged error: 0b

Counts

130 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ y 0.5))
0.3b	(* (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5))) (* (cbrt (+ y 0.5)) (log y)))
0.4b	(* (cbrt (+ y 0.5)) (log y))
0.7b	(* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-div`
40×	`*-un-lft-identity`
36×	`associate-*l/`
35×	`flip3-+` `flip-+`
34×	`add-sqr-sqrt`
33×	`cbrt-prod`
32×	`frac-times`
26×	`pow1`
22×	`add-cube-cbrt`
20×	`add-exp-log`
18×	`log-prod`
15×	`distribute-rgt-in` `distribute-lft-in` `associate-l`
12×	`associate-r`
11×	`pow-prod-down` `add-cbrt-cube`
10×	`associate-*r/` `prod-exp` `cbrt-unprod`
9×	`swap-sqr`
8×	`distribute-lft-out`
7×	`pow1/3`
6×	`unswap-sqr`
4×	`add-log-exp`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `log-pow`

Counts

4 → 159

Calls

4 calls:

3.0ms	(cbrt (+ y 0.5))
17.0ms	(* (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5))) (* (cbrt (+ y 0.5)) (log y)))
7.0ms	(* (cbrt (+ y 0.5)) (log y))
10.0ms	(* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))

series49.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(cbrt (+ y 0.5))
24.0ms	(* (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5))) (* (cbrt (+ y 0.5)) (log y)))
12.0ms	(* (cbrt (+ y 0.5)) (log y))
7.0ms	(* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))

simplify101.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	942	2125
1	3434	1811
2	5002	1679

prune282.0ms

Filtered

96 candidates to 171 candidates (-78.1%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	171	9	180

Merged error: 0b

Counts

180 → 9

regimes378.0ms

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	13	6
1	13	6

end0.0ms

analyze246.0ms

Algorithm: search

sample510.0ms

Algorithm

intervals

Results

343.0ms	7997×	body	80	valid
1.0ms	30×	body	80	invalid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	320	valid

Details

analyze237.0ms

sample21.0ms

simplify146.0ms

prune3.0ms

localize9.0ms

rewrite23.0ms

series56.0ms

simplify49.0ms

prune129.0ms

localize12.0ms

rewrite33.0ms

series45.0ms

simplify75.0ms

prune199.0ms

localize18.0ms

rewrite27.0ms

series86.0ms

simplify80.0ms

prune240.0ms

localize16.0ms

rewrite44.0ms

series49.0ms

simplify101.0ms

prune282.0ms

regimes378.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze246.0ms

sample510.0ms

Profiling