Details

sample171.0ms

Algorithm

intervals

Results

85.0ms	1726×	body	80	nan
15.0ms	259×	body	80	valid

simplify62.0ms

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

prune4.0ms

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: 0.3b

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))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

95×	`*-un-lft-identity`
41×	`distribute-lft-out`
35×	`add-log-exp`
33×	`log-prod`
27×	`pow1` `distribute-lft-out--`
23×	`associate-+l+`
22×	`add-sqr-sqrt`
21×	`log-pow`
18×	`associate--l+` `sum-log`
17×	`associate-l`
16×	`add-cube-cbrt`
15×	`associate-+r+`
10×	`diff-log`
9×	`associate-+l-`
6×	`add-exp-log` `distribute-rgt-in` `log-div` `flip3--` `distribute-lft-in` `associate-*l/` `add-cbrt-cube` `flip--`
5×	`flip3-+` `flip-+`
4×	`+-commutative` `associate--l-` `associate-r` `frac-add`
2×	`sub-neg` `difference-of-squares`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 147

Calls

4 calls:

15.0ms	(- (+ (log (+ x y)) (log z)) t)
27.0ms	(+ (- (+ (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))

series553.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(- (+ (log (+ x y)) (log z)) t)
223.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
62.0ms	(* (- a 0.5) (log t))
88.0ms	(+ (log (+ x y)) (log z))

simplify67.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	667	1320
1	2343	1261
2	5001	1245

prune351.0ms

Filtered

159 candidates to 96 candidates (39.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	152	7	159
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	153	7	160

Merged error: 0.0b

Counts

160 → 7

localize25.0ms

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)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

31×	`log-prod`
27×	`associate-+r+`
25×	`cbrt-prod` `add-sqr-sqrt`
24×	`*-un-lft-identity`
17×	`add-cube-cbrt`
13×	`pow1`
8×	`add-log-exp`
7×	`log-pow` `distribute-lft-out`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`add-exp-log` `associate-+l+` `sum-log` `add-cbrt-cube` `unswap-sqr`
3×	`pow1/3`
2×	`associate-+l-` `log-div` `flip3-+` `pow-prod-down` `flip-+`
1×	`+-commutative` `*-commutative`

Counts

4 → 86

Calls

4 calls:

15.0ms	(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series722.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))
182.0ms	(cbrt z)
190.0ms	(cbrt z)
186.0ms	(cbrt z)

simplify113.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	312	581
1	946	513
2	4669	472
3	5002	472

prune327.0ms

Filtered

98 candidates to 72 candidates (26.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	98	7	105

Merged error: 0.0b

Counts

105 → 7

localize15.0ms

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))
0.1b	(+ (- (log z) t) (* (- a 0.5) (log t)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

107×	`*-un-lft-identity`
48×	`distribute-lft-out`
34×	`add-log-exp`
31×	`log-prod`
30×	`distribute-lft-out--`
27×	`pow1`
25×	`associate-+r+`
23×	`associate-l`
22×	`add-sqr-sqrt`
21×	`log-pow`
17×	`sum-log`
16×	`add-cube-cbrt`
14×	`associate-+l+`
9×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
8×	`diff-log`
6×	`add-exp-log` `flip3--` `associate-*l/` `add-cbrt-cube` `flip--`
4×	`associate-+l-` `associate-r` `frac-add`
3×	`+-commutative` `sub-neg` `flip3-+` `flip-+`
2×	`log-div` `difference-of-squares`
1×	`associate-+r-` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 144

Calls

4 calls:

4.0ms	(- (log z) t)
26.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
7.0ms	(* (- a 0.5) (log t))
17.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))

series433.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(- (log z) t)
210.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
61.0ms	(* (- a 0.5) (log t))
95.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))

simplify66.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	685	1275
1	2332	1206
2	5001	1185

prune540.0ms

Filtered

156 candidates to 90 candidates (42.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	153	3	156
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	157	6	163

Merged error: 0.0b

Counts

163 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- a 0.5) (log (cbrt t)))
0.3b	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
48×	`log-prod`
43×	`associate-r`
36×	`distribute-rgt-in` `add-sqr-sqrt` `distribute-lft-in`
30×	`cbrt-prod`
28×	`add-cube-cbrt`
25×	`associate-l`
24×	`associate-+l+`
17×	`distribute-lft-out`
15×	`pow1`
13×	`distribute-rgt-out`
12×	`associate-+r+` `log-pow`
10×	`associate-*l/`
7×	`distribute-lft-out--`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`flip3--` `pow1/3` `flip--`
4×	`frac-add`
3×	`*-commutative` `difference-of-squares`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 139

Calls

4 calls:

8.0ms	(* (- a 0.5) (log (cbrt t)))
44.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
1.0ms	(cbrt t)
2.0ms	(cbrt t)

series684.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (- a 0.5) (log (cbrt t)))
184.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
185.0ms	(cbrt t)
182.0ms	(cbrt t)

simplify100.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	584	1164
1	2945	974
2	5001	931

prune514.0ms

Filtered

151 candidates to 115 candidates (23.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	148	3	151
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	151	6	157

Merged error: 0b

Counts

157 → 6

regimes437.0ms

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

sample5.1s

Algorithm

intervals

Results

2.6s	55585×	body	80	nan
451.0ms	8034×	body	80	valid