Details

sample213.0ms

Algorithm

intervals

Results

119.0ms	1907×	body	80	nan
22.0ms	257×	body	80	valid

simplify60.0ms

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: 0.3b

Counts

2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.1b	(* (- a 0.5) (log t))
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.6b	(+ (log (+ x y)) (log z))

rewrite40.0ms

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)
7.0ms	(* (- a 0.5) (log t))
13.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
9.0ms	(+ (log (+ x y)) (log z))

series486.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(- (+ (log (+ x y)) (log z)) t)
58.0ms	(* (- a 0.5) (log t))
190.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
73.0ms	(+ (log (+ x y)) (log z))

simplify60.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (49.0ms)

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

prune373.0ms

Filtered

114 candidates to 80 candidates (70.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	106	8	114
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	107	8	115

Merged error: 0.0b

Counts

115 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

4.0ms	(- (log z) t)
8.0ms	(* (- a 0.5) (log t))
11.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
9.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))

series409.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(- (log z) t)
61.0ms	(* (- a 0.5) (log t))
196.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
90.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))

simplify62.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	643	915
1	2283	856
2	5001	845

prune331.0ms

Filtered

110 candidates to 81 candidates (73.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	110	8	118

Merged error: 0.0b

Counts

118 → 8

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

rewrite28.0ms

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:

14.0ms	(+ (* (- 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))

series590.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
172.0ms	(cbrt t)
179.0ms	(cbrt t)
72.0ms	(+ (log (+ x y)) (log z))

simplify62.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (53.0ms)

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

prune479.0ms

Filtered

110 candidates to 98 candidates (89.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	110	8	118

Merged error: 0.0b

Counts

118 → 8

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))
5.1b	(pow t 1/3)

rewrite31.0ms

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:

13.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (log (pow t 1/3)) (- (* 3 a) 1.5)))
7.0ms	(* (log (pow t 1/3)) (- (* 3 a) 1.5))
7.0ms	(+ (log (+ x y)) (log z))
2.0ms	(pow t 1/3)

series707.0ms

Counts

4 → 12

Calls

4 calls:

300.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (log (pow t 1/3)) (- (* 3 a) 1.5)))
163.0ms	(* (log (pow t 1/3)) (- (* 3 a) 1.5))
73.0ms	(+ (log (+ x y)) (log z))
171.0ms	(pow t 1/3)

simplify75.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (65.0ms)

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

prune327.0ms

Filtered

104 candidates to 74 candidates (71.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	104	8	112

Merged error: 0.0b

Counts

112 → 8

regimes585.0ms

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	19	9
1	19	9

end0.0ms

sample6.0s

Algorithm

intervals

Results

3.5s	55912×	body	80	nan
597.0ms	8026×	body	80	valid