Details

sample206.0ms

Algorithm

intervals

Results

113.0ms	1614×	body	80	nan
21.0ms	258×	body	80	valid

simplify80.0ms

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

prune14.0ms

Filtered

1 candidates to 1 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: 0.2b

Counts

2 → 2

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.2b	(fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
0.6b	(+ (log (+ x y)) (log z))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
28×	`pow1`
25×	`log-pow` `distribute-lft-out`
21×	`prod-diff`
19×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
7×	`log-prod` `fma-neg`
6×	`add-log-exp`
5×	`distribute-lft-out--`
4×	`associate-+l-` `log-div` `associate-+l+` `fma-def`
3×	`add-exp-log` `expm1-log1p-u` `associate-+r+` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`associate--l-` `diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--` `fma-udef` `difference-of-squares`

Counts

3 → 92

Calls

3 calls:

15.0ms	(- (+ (log (+ x y)) (log z)) t)
1.0ms	(fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
12.0ms	(+ (log (+ x y)) (log z))

series317.0ms

Counts

3 → 9

Calls

3 calls:

162.0ms	(- (+ (log (+ x y)) (log z)) t)
86.0ms	(fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
69.0ms	(+ (log (+ x y)) (log z))

simplify45.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	388	866
1	1209	661
2	5001	650

prune301.0ms

Filtered

101 candidates to 61 candidates (60.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	96	5	101
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	97	6	103

Merged error: 0.1b

Counts

103 → 6

localize24.0ms

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))

rewrite45.0ms

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)
15.0ms	(+ (- (+ (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))

series478.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(- (+ (log (+ x y)) (log z)) t)
189.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
57.0ms	(* (- a 0.5) (log t))
70.0ms	(+ (log (+ x y)) (log z))

simplify79.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (64.0ms)

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

prune447.0ms

Filtered

184 candidates to 109 candidates (59.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	179	5	184
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	181	9	190

Merged error: 0.0b

Counts

190 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (log t) (- a 0.5) (- (cbrt (pow (+ (log (+ x y)) (log z)) 3)) t))
0.5b	(cbrt (pow (+ (log (+ x y)) (log z)) 3))
0.6b	(+ (log (+ x y)) (log z))
0.7b	(pow (+ (log (+ x y)) (log z)) 3)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
26×	`pow1`
21×	`log-pow` `distribute-lft-out`
20×	`cbrt-prod`
14×	`unpow-prod-down` `cube-prod`
13×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`log-prod`
5×	`add-exp-log` `add-cbrt-cube`
4×	`cube-div` `expm1-log1p-u` `associate-+l+` `fma-def` `flip3-+` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-+r+`
2×	`cube-mult` `associate-+l-` `log-div` `cbrt-div` `unpow3` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `sum-log` `rem-cbrt-cube` `fma-udef` `rem-cube-cbrt`

Counts

4 → 108

Calls

4 calls:

1.0ms	(fma (log t) (- a 0.5) (- (cbrt (pow (+ (log (+ x y)) (log z)) 3)) t))
5.0ms	(cbrt (pow (+ (log (+ x y)) (log z)) 3))
7.0ms	(+ (log (+ x y)) (log z))
6.0ms	(pow (+ (log (+ x y)) (log z)) 3)

series548.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(fma (log t) (- a 0.5) (- (cbrt (pow (+ (log (+ x y)) (log z)) 3)) t))
71.0ms	(cbrt (pow (+ (log (+ x y)) (log z)) 3))
86.0ms	(+ (log (+ x y)) (log z))
301.0ms	(pow (+ (log (+ x y)) (log z)) 3)

simplify45.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	388	875
1	1379	809
2	5002	796

prune349.0ms

Filtered

120 candidates to 73 candidates (60.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	120	9	129

Merged error: 0.0b

Counts

129 → 9

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`pow1` `cbrt-prod`
7×	`log-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+` `pow1/3`
2×	`associate-+l-` `log-div` `flip3-+` `flip-+`
1×	`+-commutative` `sum-log`

Counts

4 → 69

Calls

4 calls:

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

series646.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(cbrt t)
173.0ms	(cbrt t)
173.0ms	(cbrt t)
72.0ms	(+ (log (+ x y)) (log z))

simplify109.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (40.0ms)

Iter	Nodes	Cost
0	195	301
1	405	276
2	1046	266
3	3377	265
4	5001	265

prune322.0ms

Filtered

81 candidates to 67 candidates (82.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	80	10	90

Merged error: 0.0b

Counts

90 → 10

regimes583.0ms

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	25	16
1	25	16

end0.0ms

sample6.2s

Algorithm

intervals

Results

3.5s	55715×	body	80	nan
591.0ms	8032×	body	80	valid