Details

sample197.0ms

Algorithm

intervals

Results

111.0ms	1759×	body	80	nan
18.0ms	256×	body	80	valid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

localize15.0ms

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))
0.6b	(+ (log (+ x y)) (log z))

rewrite38.0ms

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:

10.0ms	(- (+ (log (+ x y)) (log z)) t)
12.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
6.0ms	(* (- a 0.5) (log t))
7.0ms	(+ (log (+ x y)) (log z))

series494.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(- (+ (log (+ x y)) (log z)) t)
196.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
61.0ms	(* (- a 0.5) (log t))
69.0ms	(+ (log (+ x y)) (log z))

simplify63.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (52.0ms)

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

prune355.0ms

Filtered

114 candidates to 80 candidates (70.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	108	6	114
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	109	6	115

Merged error: 0.0b

Counts

115 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

11.0ms	(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series713.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))
183.0ms	(cbrt z)
182.0ms	(cbrt z)
184.0ms	(cbrt z)

simplify70.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	200	367
1	587	304
2	2135	289
3	5002	289

prune274.0ms

Filtered

69 candidates to 56 candidates (81.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	69	6	75

Merged error: 0.0b

Counts

75 → 6

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(+ (log (+ x y)) (log z))

rewrite27.0ms

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))))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
7.0ms	(+ (log (+ x y)) (log z))

series621.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
184.0ms	(cbrt t)
182.0ms	(cbrt t)
78.0ms	(+ (log (+ x y)) (log z))

simplify72.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (61.0ms)

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

prune499.0ms

Filtered

110 candidates to 98 candidates (89.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	109	7	116

Merged error: 0b

Counts

116 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (log (pow t 1/3)) (- (* 3 a) 1.5)))
0.3b	(* (log (pow t 1/3)) (- (* 3 a) 1.5))
0.6b	(+ (log (+ x y)) (log z))
4.9b	(pow t 1/3)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
11×	`pow1` `add-log-exp`
10×	`add-cube-cbrt`
7×	`add-exp-log` `associate-+l+` `associate-+r+` `log-prod`
6×	`associate-*r/` `add-cbrt-cube`
5×	`sub-neg` `flip3--` `sum-log` `log-pow` `flip--` `distribute-lft-out`
4×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `frac-add`
3×	`associate-+l-` `unpow-prod-down` `pow-unpow` `flip3-+` `associate-r` `flip-+`
2×	`+-commutative` `log-div` `diff-log`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow-prod-down` `pow-exp` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

12.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (log (pow t 1/3)) (- (* 3 a) 1.5)))
6.0ms	(* (log (pow t 1/3)) (- (* 3 a) 1.5))
6.0ms	(+ (log (+ x y)) (log z))
2.0ms	(pow t 1/3)

series758.0ms

Counts

4 → 12

Calls

4 calls:

326.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (log (pow t 1/3)) (- (* 3 a) 1.5)))
174.0ms	(* (log (pow t 1/3)) (- (* 3 a) 1.5))
72.0ms	(+ (log (+ x y)) (log z))
185.0ms	(pow t 1/3)

simplify85.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	646	957
1	2660	895
2	5001	879

prune338.0ms

Filtered

104 candidates to 74 candidates (71.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	104	7	111

Merged error: 0b

Counts

111 → 7

regimes583.0ms

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	15
1	24	15

end0.0ms

sample5.8s

Algorithm

intervals

Results

3.3s	54433×	body	80	nan
562.0ms	8038×	body	80	valid

Details

sample197.0ms

simplify65.0ms

prune3.0ms

localize15.0ms

rewrite38.0ms

series494.0ms

simplify63.0ms

prune355.0ms

localize21.0ms

rewrite20.0ms

series713.0ms

simplify70.0ms

prune274.0ms

localize26.0ms

rewrite27.0ms

series621.0ms

simplify72.0ms

prune499.0ms

localize23.0ms

rewrite29.0ms

series758.0ms

simplify85.0ms

prune338.0ms

regimes583.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample5.8s

Profiling