Details

sample229.0ms

Algorithm

intervals

Results

103.0ms	1764×	body	80	nan
17.0ms	257×	body	80	valid

simplify55.0ms

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

prune6.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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

localize14.0ms

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)))
0.1b	(* (- 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))

series546.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(- (+ (log (+ x y)) (log z)) t)
215.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
64.0ms	(* (- a 0.5) (log t))
79.0ms	(+ (log (+ x y)) (log z))

simplify54.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	618	1003
1	2230	940
2	5001	924

prune669.0ms

Filtered

114 candidates to 80 candidates (29.8%)

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: 0b

Counts

115 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- a 0.5) (log t))
0.5b	(cbrt (pow (+ (log (+ x y)) (log z)) 3))
0.5b	(+ (log (+ x y)) (log z))
0.7b	(pow (+ (log (+ x y)) (log z)) 3)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
28×	`pow1`
21×	`log-pow` `distribute-lft-out`
20×	`cbrt-prod` `add-sqr-sqrt`
16×	`add-cube-cbrt`
14×	`unpow-prod-down` `cube-prod`
13×	`log-prod`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`cube-div` `associate-+l+` `flip3-+` `associate-r` `flip-+` `add-log-exp`
3×	`distribute-rgt-in` `pow-unpow` `associate-+r+` `distribute-lft-in`
2×	`cube-mult` `associate-+l-` `log-div` `cbrt-div` `unpow3` `associate-*l/` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3--` `pow-pow` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `flip--` `rem-cbrt-cube` `cbrt-unprod` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares` `unswap-sqr`

Counts

4 → 117

Calls

4 calls:

6.0ms	(* (- a 0.5) (log t))
5.0ms	(cbrt (pow (+ (log (+ x y)) (log z)) 3))
8.0ms	(+ (log (+ x y)) (log z))
6.0ms	(pow (+ (log (+ x y)) (log z)) 3)

series597.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (- a 0.5) (log t))
80.0ms	(cbrt (pow (+ (log (+ x y)) (log z)) 3))
81.0ms	(+ (log (+ x y)) (log z))
368.0ms	(pow (+ (log (+ x y)) (log z)) 3)

simplify47.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	421	851
1	1528	787
2	5002	774

prune699.0ms

Filtered

129 candidates to 71 candidates (45.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	129	10	139

Merged error: 0b

Counts

139 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t) (* (- a 0.5) (log t)))
0.1b	(* (- a 0.5) (log t))
0.4b	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
0.5b	(+ (log (+ x y)) (log (sqrt z)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

17.0ms	(+ (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t) (* (- a 0.5) (log t)))
6.0ms	(* (- a 0.5) (log t))
13.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
7.0ms	(+ (log (+ x y)) (log (sqrt z)))

series898.0ms

Counts

4 → 12

Calls

4 calls:

378.0ms	(+ (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t) (* (- a 0.5) (log t)))
67.0ms	(* (- a 0.5) (log t))
231.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
221.0ms	(+ (log (+ x y)) (log (sqrt z)))

simplify72.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	783	1415
1	2938	1288
2	5002	1263

prune928.0ms

Filtered

127 candidates to 87 candidates (31.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	128	9	137

Merged error: 0b

Counts

137 → 9

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

rewrite25.0ms

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

series659.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
83.0ms	(+ (log (+ x y)) (log z))
195.0ms	(cbrt t)
190.0ms	(cbrt t)

simplify61.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	598	898
1	2124	774
2	5001	748

prune1.0s

Filtered

110 candidates to 98 candidates (10.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	3	3	6
Picked	0	1	1
Done	0	2	2
Total	111	8	119

Merged error: 0b

Counts

119 → 8

regimes1.0s

Accuracy

0% (0.3b 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	22	11
1	22	11

end0.0ms

sample7.0s

Algorithm

intervals

Results

3.2s	56205×	body	80	nan
534.0ms	8035×	body	80	valid

Details

sample229.0ms

simplify55.0ms

prune6.0ms

localize14.0ms

rewrite34.0ms

series546.0ms

simplify54.0ms

prune669.0ms

localize18.0ms

rewrite29.0ms

series597.0ms

simplify47.0ms

prune699.0ms

localize16.0ms

rewrite47.0ms

series898.0ms

simplify72.0ms

prune928.0ms

localize20.0ms

rewrite25.0ms

series659.0ms

simplify61.0ms

prune1.0s

regimes1.0s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample7.0s

Profiling