Details

sample231.0ms

Algorithm

intervals

Results

111.0ms	1775×	body	80	nan
18.0ms	256×	body	80	valid

simplify56.0ms

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

localize17.0ms

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))
0.5b	(+ (log (+ x y)) (log z))

rewrite34.0ms

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:

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

series105.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- (+ (log (+ x y)) (log z)) t)
51.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
9.0ms	(* (- a 0.5) (log t))
14.0ms	(+ (log (+ x y)) (log z))

simplify60.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (49.0ms)

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

prune189.0ms

Filtered

80 candidates to 114 candidates (-42.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	103	11	114
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	11	115

Merged error: 0.0b

Counts

115 → 11

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x y)) (cbrt (+ x y)))
0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

11.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))

series126.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
31.0ms	(cbrt (+ x y))
29.0ms	(cbrt (+ x y))
29.0ms	(cbrt (+ x y))

simplify153.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (141.0ms)

Iter	Nodes	Cost
0	284	746
1	846	709
2	3879	634
3	5002	621

prune184.0ms

Filtered

75 candidates to 107 candidates (-42.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	107	11	118

Merged error: 0.0b

Counts

118 → 11

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

6.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series79.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(+ (log (+ x y)) (log z))
21.0ms	(cbrt t)
21.0ms	(cbrt t)
21.0ms	(cbrt t)

simplify99.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (25.0ms)

Iter	Nodes	Cost
0	214	321
1	443	296
2	938	255
3	3244	246
4	5001	246

prune127.0ms

Filtered

52 candidates to 69 candidates (-32.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	69	11	80

Merged error: 0.0b

Counts

80 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

13.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (log (sqrt t)) (- a 0.5)))
7.0ms	(* (log (sqrt t)) (- a 0.5))
7.0ms	(* (- a 0.5) (log (sqrt t)))
6.0ms	(+ (log (+ x y)) (log z))

series90.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (log (sqrt t)) (- a 0.5)))
8.0ms	(* (log (sqrt t)) (- a 0.5))
7.0ms	(* (- a 0.5) (log (sqrt t)))
14.0ms	(+ (log (+ x y)) (log z))

simplify71.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	673	1121
1	2713	1053
2	5001	1031

prune143.0ms

Filtered

90 candidates to 127 candidates (-41.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	125	2	127
Fresh	3	5	8
Picked	1	0	1
Done	0	2	2
Total	129	9	138

Merged error: 0.0b

Counts

138 → 9

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	17
1	24	17

end0.0ms

sample7.1s

Algorithm

intervals

Results

3.4s	56283×	body	80	nan
571.0ms	8030×	body	80	valid

Details

sample231.0ms

simplify56.0ms

prune5.0ms

localize17.0ms

rewrite34.0ms

series105.0ms

simplify60.0ms

prune189.0ms

localize20.0ms

rewrite22.0ms

series126.0ms

simplify153.0ms

prune184.0ms

localize24.0ms

rewrite11.0ms

series79.0ms

simplify99.0ms

prune127.0ms

localize18.0ms

rewrite36.0ms

series90.0ms

simplify71.0ms

prune143.0ms

regimes1.3s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample7.1s

Profiling