Details

sample158.0ms

Algorithm

intervals

Results

79.0ms	1703×	body	80	nan
14.0ms	256×	body	80	valid

simplify59.0ms

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

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

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

rewrite36.0ms

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:

8.0ms	(- (+ (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))
6.0ms	(+ (log (+ x y)) (log z))

series503.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(- (+ (log (+ x y)) (log z)) t)
198.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
60.0ms	(* (- a 0.5) (log t))
73.0ms	(+ (log (+ x y)) (log z))

simplify61.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (49.0ms)

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

prune366.0ms

Filtered

114 candidates to 80 candidates (70.2%)

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

localize17.0ms

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

rewrite51.0ms

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:

22.0ms	(+ (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t) (* (- a 0.5) (log t)))
7.0ms	(* (- a 0.5) (log t))
7.0ms	(+ (log (+ x y)) (log (sqrt z)))
11.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))

series686.0ms

Counts

4 → 12

Calls

4 calls:

297.0ms	(+ (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t) (* (- a 0.5) (log t)))
62.0ms	(* (- a 0.5) (log t))
150.0ms	(+ (log (+ x y)) (log (sqrt z)))
177.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))

simplify72.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	759	1405
1	2762	1276
2	5002	1251

prune411.0ms

Filtered

127 candidates to 87 candidates (68.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	127	11	138

Merged error: 0b

Counts

138 → 11

localize21.0ms

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))

rewrite26.0ms

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)
6.0ms	(+ (log (+ x y)) (log z))

series623.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
189.0ms	(cbrt t)
186.0ms	(cbrt t)
76.0ms	(+ (log (+ x y)) (log z))

simplify64.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (54.0ms)

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

prune497.0ms

Filtered

110 candidates to 98 candidates (89.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	3	6	9
Picked	0	1	1
Done	0	1	1
Total	112	9	121

Merged error: 0b

Counts

121 → 9

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))
5.0b	(pow t 1/3)

rewrite33.0ms

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:

16.0ms	(+ (- (+ (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)

series733.0ms

Counts

4 → 12

Calls

4 calls:

316.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (log (pow t 1/3)) (- (* 3 a) 1.5)))
167.0ms	(* (log (pow t 1/3)) (- (* 3 a) 1.5))
74.0ms	(+ (log (+ x y)) (log z))
175.0ms	(pow t 1/3)

simplify76.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	646	957
1	2660	895
2	5001	883

prune338.0ms

Filtered

104 candidates to 74 candidates (71.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	104	9	113

Merged error: 0b

Counts

113 → 9

regimes571.0ms

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	13
1	22	13

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.6s	56484×	body	80	nan
440.0ms	8029×	body	80	valid