Details

sample161.0ms

Algorithm

intervals

Results

82.0ms	1726×	body	80	nan
14.0ms	259×	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

prune9.0ms

Filtered

1 candidates to 1 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 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (+ x y))
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))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

57×	`*-un-lft-identity`
30×	`pow1`
27×	`distribute-lft-out`
26×	`log-pow`
23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `prod-diff`
18×	`log-prod` `add-log-exp`
9×	`associate--l+`
8×	`associate-+l+` `sum-log`
7×	`fma-neg`
6×	`log-div` `associate-+r+`
5×	`add-exp-log` `diff-log` `distribute-lft-out--`
4×	`expm1-log1p-u` `associate-+l-` `fma-def` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `associate--l-`
1×	`sub-neg` `flip3--` `rem-log-exp` `flip--` `fma-udef` `difference-of-squares`

Counts

4 → 123

Calls

4 calls:

3.0ms	(log (+ x y))
12.0ms	(- (+ (log (+ x y)) (log z)) t)
1.0ms	(fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
8.0ms	(+ (log (+ x y)) (log z))

series406.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(log (+ x y))
170.0ms	(- (+ (log (+ x y)) (log z)) t)
100.0ms	(fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
71.0ms	(+ (log (+ x y)) (log z))

simplify50.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	439	986
1	1306	782
2	5001	768

prune293.0ms

Filtered

135 candidates to 83 candidates (38.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	129	6	135
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	131	6	137

Merged error: 0.1b

Counts

137 → 6

localize22.0ms

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)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

31×	`log-prod`
27×	`associate-+r+`
26×	`add-sqr-sqrt`
25×	`cbrt-prod` `*-un-lft-identity`
18×	`add-cube-cbrt`
14×	`pow1`
8×	`log-pow` `add-log-exp`
7×	`distribute-lft-out`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`add-exp-log` `expm1-log1p-u` `associate-+l+` `fma-def` `sum-log` `add-cbrt-cube` `log1p-expm1-u` `unswap-sqr`
3×	`pow1/3`
2×	`associate-+l-` `log-div` `flip3-+` `pow-prod-down` `flip-+`
1×	`+-commutative` `*-commutative`

Counts

4 → 98

Calls

4 calls:

18.0ms	(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series727.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))
188.0ms	(cbrt z)
185.0ms	(cbrt z)
184.0ms	(cbrt z)

simplify126.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	321	609
1	975	524
2	4916	461
3	5001	461

prune388.0ms

Filtered

110 candidates to 83 candidates (24.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	110	6	116

Merged error: 0.1b

Counts

116 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))) (cbrt (fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))))
0.6b	(+ (log (+ x y)) (log z))
0.6b	(+ (log (+ x y)) (log z))
0.6b	(+ (log (+ x y)) (log z))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
26×	`pow1`
21×	`add-cube-cbrt` `log-prod`
16×	`cbrt-prod` `add-log-exp`
15×	`log-pow` `distribute-lft-out`
12×	`associate-+l+` `fma-def` `sum-log`
9×	`associate-+r+`
8×	`add-cbrt-cube`
6×	`add-exp-log` `associate-+l-` `log-div` `flip3-+` `pow1/3` `swap-sqr` `associate-r` `associate-l` `flip-+`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
3×	`+-commutative`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 144

Calls

4 calls:

6.0ms	(* (cbrt (fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))) (cbrt (fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))))
8.0ms	(+ (log (+ x y)) (log z))
11.0ms	(+ (log (+ x y)) (log z))
8.0ms	(+ (log (+ x y)) (log z))

series1.0s

Counts

4 → 12

Calls

4 calls:

770.0ms	(* (cbrt (fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))) (cbrt (fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))))
72.0ms	(+ (log (+ x y)) (log z))
77.0ms	(+ (log (+ x y)) (log z))
83.0ms	(+ (log (+ x y)) (log z))

simplify86.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	718	1831
1	2818	1634
2	5001	1477

prune533.0ms

Filtered

156 candidates to 105 candidates (32.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	151	5	156
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	154	8	162

Merged error: 0.1b

Counts

162 → 8

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
28×	`log-prod`
24×	`pow1`
20×	`log-pow` `distribute-lft-out` `add-log-exp`
16×	`add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `fma-def` `sum-log`
12×	`associate-+r+`
8×	`associate-+l-` `log-div` `flip3-+` `flip-+`
4×	`add-exp-log` `+-commutative` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`

Counts

4 → 132

Calls

4 calls:

8.0ms	(+ (log (+ x y)) (log z))
8.0ms	(+ (log (+ x y)) (log z))
8.0ms	(+ (log (+ x y)) (log z))
7.0ms	(+ (log (+ x y)) (log z))

series304.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(+ (log (+ x y)) (log z))
77.0ms	(+ (log (+ x y)) (log z))
77.0ms	(+ (log (+ x y)) (log z))
73.0ms	(+ (log (+ x y)) (log z))

simplify72.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 3 (23.0ms)

Iter	Nodes	Cost
0	161	700
1	337	648
2	844	632
3	2677	628
4	5001	628

prune623.0ms

Filtered

144 candidates to 100 candidates (30.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	144	8	152

Merged error: 0.1b

Counts

152 → 8

regimes619.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	14
1	21	14

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.6s	55585×	body	80	nan
450.0ms	8034×	body	80	valid