Details

sample157.0ms

Algorithm

intervals

Results

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

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	27	9
1	61	8
2	161	8
3	393	8
4	984	8
5	2256	8
6	4095	8
7	5001	8

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.2b

Counts

2 → 1

localize14.0ms

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))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

91×	`*-un-lft-identity`
48×	`pow1`
43×	`add-sqr-sqrt`
42×	`prod-diff` `log-pow`
41×	`distribute-lft-out`
35×	`add-cube-cbrt`
28×	`associate-+l+`
19×	`log-prod`
14×	`add-log-exp`
13×	`fma-def`
11×	`distribute-lft-out--`
9×	`associate-+r+`
7×	`fma-neg`
6×	`add-exp-log` `distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*l/` `sum-log` `add-cbrt-cube` `flip--`
5×	`associate-+l-` `associate-l`
4×	`expm1-log1p-u` `log-div` `flip3-+` `diff-log` `associate-r` `frac-add` `flip-+` `log1p-expm1-u`
3×	`difference-of-squares`
2×	`+-commutative` `associate--l-` `sub-neg` `associate--l+`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 172

Calls

4 calls:

9.0ms	(- (+ (log (+ x y)) (log z)) t)
14.0ms	(+ (- (+ (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))

series463.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(- (+ (log (+ x y)) (log z)) t)
183.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
56.0ms	(* (- a 0.5) (log t))
68.0ms	(+ (log (+ x y)) (log z))

simplify78.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	706	1592
1	2722	1253
2	5001	1237

prune459.0ms

Filtered

184 candidates to 109 candidates (59.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	172	12	184
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	173	12	185

Merged error: 0.0b

Counts

185 → 12

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))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

43×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
28×	`associate-+l+`
27×	`*-un-lft-identity`
24×	`cbrt-prod`
21×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`associate-+r+`
9×	`pow1`
8×	`associate-*l/`
6×	`distribute-lft-out` `add-log-exp`
5×	`fma-def` `log-pow`
4×	`add-exp-log` `expm1-log1p-u` `flip3--` `frac-add` `add-cbrt-cube` `flip--` `log1p-expm1-u`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `associate-+l-` `log-div` `pow1/3` `sum-log`

Counts

4 → 111

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))

series595.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
165.0ms	(cbrt t)
196.0ms	(cbrt t)
69.0ms	(+ (log (+ x y)) (log z))

simplify69.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	653	918
1	2378	778
2	5003	742

prune539.0ms

Filtered

123 candidates to 110 candidates (89.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	121	2	123
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	125	10	135

Merged error: 0.0b

Counts

135 → 10

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (- 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))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
9×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
7×	`log-prod`
6×	`cbrt-prod`
5×	`log-pow` `distribute-lft-out`
4×	`add-exp-log` `expm1-log1p-u` `associate-+l+` `fma-def` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`associate-+r+`
2×	`associate-+l-` `log-div` `flip3-+` `pow1/3` `flip-+`
1×	`+-commutative` `sum-log` `fma-udef`

Counts

4 → 66

Calls

4 calls:

1.0ms	(fma (- 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))

series612.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(fma (- a 0.5) (* 2 (log (cbrt t))) (* (- a 0.5) (log (cbrt t))))
169.0ms	(cbrt t)
170.0ms	(cbrt t)
71.0ms	(+ (log (+ x y)) (log z))

simplify55.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	265	415
1	624	361
2	2151	343
3	5003	336

prune513.0ms

Filtered

78 candidates to 65 candidates (83.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	79	9	88

Merged error: 0.0b

Counts

88 → 9

localize31.0ms

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)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

54×	`*-un-lft-identity`
33×	`prod-diff`
30×	`add-sqr-sqrt`
28×	`pow1` `associate-+l+`
26×	`add-cube-cbrt`
22×	`log-pow`
21×	`distribute-lft-out`
13×	`associate-+r+` `fma-def`
11×	`add-log-exp`
10×	`distribute-rgt-in` `distribute-lft-in`
7×	`add-exp-log` `log-prod`
6×	`associate-*r/` `add-cbrt-cube`
5×	`sub-neg` `flip3--` `sum-log` `flip--` `distribute-lft-out--`
4×	`expm1-log1p-u` `associate-l` `frac-add` `log1p-expm1-u`
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` `difference-of-squares` `unswap-sqr` `sqr-pow`

Counts

4 → 146

Calls

4 calls:

15.0ms	(+ (- (+ (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)

series711.0ms

Counts

4 → 12

Calls

4 calls:

303.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (log (pow t 1/3)) (- (* 3 a) 1.5)))
164.0ms	(* (log (pow t 1/3)) (- (* 3 a) 1.5))
73.0ms	(+ (log (+ x y)) (log z))
170.0ms	(pow t 1/3)

simplify100.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	776	1427
1	3516	1169
2	5001	1162

prune463.0ms

Filtered

158 candidates to 106 candidates (67.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	157	1	158
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	158	9	167

Merged error: 0.0b

Counts

167 → 9

regimes525.0ms

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	24	11
1	24	11

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.6s	56484×	body	80	nan
446.0ms	8029×	body	80	valid