Details

sample220.0ms

Algorithm

intervals

Results

128.0ms	1859×	body	80	nan
20.0ms	259×	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: 0.2b

Counts

2 → 1

localize19.0ms

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))

rewrite37.0ms

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

series488.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(- (+ (log (+ x y)) (log z)) t)
202.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
54.0ms	(* (- a 0.5) (log t))
70.0ms	(+ (log (+ x y)) (log z))

simplify65.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (49.0ms)

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

prune345.0ms

Filtered

114 candidates to 80 candidates (70.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	107	7	114
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	7	115

Merged error: 0.0b

Counts

115 → 7

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

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)
10.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
7.0ms	(* (- a 0.5) (log t))
9.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))

series401.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(- (log z) t)
194.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
60.0ms	(* (- a 0.5) (log t))
90.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))

simplify64.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (49.0ms)

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

prune320.0ms

Filtered

110 candidates to 81 candidates (73.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	110	7	117

Merged error: 0.0b

Counts

117 → 7

localize23.0ms

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))

series600.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
181.0ms	(cbrt t)
176.0ms	(cbrt t)
74.0ms	(+ (log (+ x y)) (log z))

simplify63.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (53.0ms)

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

prune482.0ms

Filtered

110 candidates to 98 candidates (89.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	110	7	117

Merged error: 0b

Counts

117 → 7

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
13×	`cbrt-prod`
9×	`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 → 58

Calls

4 calls:

1.0ms	(cbrt t)
2.0ms	(cbrt (cbrt t))
7.0ms	(+ (log (+ x y)) (log z))
4.0ms	(cbrt (* (cbrt t) (cbrt t)))

series768.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt t)
242.0ms	(cbrt (cbrt t))
73.0ms	(+ (log (+ x y)) (log z))
267.0ms	(cbrt (* (cbrt t) (cbrt t)))

simplify45.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (40.0ms)

Iter	Nodes	Cost
0	251	338
1	539	306
2	1590	295
3	5001	294

prune361.0ms

Filtered

70 candidates to 60 candidates (85.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	70	7	77

Merged error: 0b

Counts

77 → 7

regimes470.0ms

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

sample6.4s

Algorithm

intervals

Results

3.8s	56366×	body	80	nan
625.0ms	8033×	body	80	valid