Details

sample51.0ms

Algorithm

intervals

Results

14.0ms	298×	body	80	valid
11.0ms	292×	body	80	nan

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	30	8
1	89	7
2	291	7
3	898	7
4	2565	7
5	5001	7

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma b (- a 0.5) (- (+ (+ x y) z) (* z (log t))))
0.1b	(- (+ (+ x y) z) (* z (log t)))
0.3b	(* z (log t))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
12×	`log-prod` `add-log-exp`
11×	`add-cube-cbrt`
6×	`pow1` `distribute-rgt-in` `distribute-lft-in` `distribute-lft-out` `associate--r+`
5×	`add-exp-log` `fma-neg` `prod-diff` `add-cbrt-cube`
4×	`associate-r`
3×	`expm1-log1p-u` `diff-log` `associate-l` `sum-log` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `pow-prod-down` `prod-exp` `associate--l+` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

3 → 70

Calls

3 calls:

1.0ms	(fma b (- a 0.5) (- (+ (+ x y) z) (* z (log t))))
9.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series180.0ms

Counts

3 → 9

Calls

3 calls:

112.0ms	(fma b (- a 0.5) (- (+ (+ x y) z) (* z (log t))))
33.0ms	(- (+ (+ x y) z) (* z (log t)))
36.0ms	(* z (log t))

simplify44.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	316	506
1	1388	439
2	5001	421

prune219.0ms

Filtered

79 candidates to 57 candidates (72.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	74	5	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	5	80

Merged error: 0b

Counts

80 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma b (- a 0.5) (fma z (- 1 (log t)) (+ x y)))
0.0b	(- 1 (log t))
0.1b	(fma z (- 1 (log t)) (+ x y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `prod-diff`
7×	`pow1`
4×	`log-pow` `add-log-exp`
3×	`add-exp-log` `expm1-log1p-u` `log-prod` `fma-neg` `add-cbrt-cube` `log1p-expm1-u` `associate--r+`
2×	`fma-udef` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 56

Calls

3 calls:

1.0ms	(fma b (- a 0.5) (fma z (- 1 (log t)) (+ x y)))
5.0ms	(- 1 (log t))
1.0ms	(fma z (- 1 (log t)) (+ x y))

series301.0ms

Counts

3 → 9

Calls

3 calls:

133.0ms	(fma b (- a 0.5) (fma z (- 1 (log t)) (+ x y)))
123.0ms	(- 1 (log t))
45.0ms	(fma z (- 1 (log t)) (+ x y))

simplify124.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	250	456
1	817	311
2	4188	263
3	5001	263

prune164.0ms

Filtered

65 candidates to 43 candidates (66.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	65	5	70

Merged error: 0b

Counts

70 → 5

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.5b	(cbrt t)
0.5b	(cbrt t)
0.5b	(cbrt t)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt t) (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series936.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(* (cbrt t) (cbrt t))
181.0ms	(cbrt t)
375.0ms	(cbrt t)
177.0ms	(cbrt t)

simplify90.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune330.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	93	5	98

Merged error: 0b

Counts

98 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1 (log (sqrt t)))
0.1b	(fma z (- 1 (log (sqrt t))) (+ x y))
0.1b	(- (fma z (- 1 (log (sqrt t))) (+ x y)) (* z (log (sqrt t))))
0.3b	(* z (log (sqrt t)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
30×	`log-prod`
28×	`add-cube-cbrt`
21×	`prod-diff`
18×	`associate--r+`
15×	`pow1` `sqrt-prod`
13×	`log-pow`
12×	`distribute-rgt-in` `distribute-lft-in`
7×	`add-log-exp`
6×	`add-exp-log` `fma-neg` `associate-r` `add-cbrt-cube`
4×	`expm1-log1p-u` `sqrt-pow1` `pow1/2` `log1p-expm1-u`
3×	`associate-l`
2×	`sub-neg` `flip3--` `diff-log` `flip--` `fma-udef` `distribute-lft-out--` `difference-of-squares`
1×	`pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 123

Calls

4 calls:

6.0ms	(- 1 (log (sqrt t)))
1.0ms	(fma z (- 1 (log (sqrt t))) (+ x y))
8.0ms	(- (fma z (- 1 (log (sqrt t))) (+ x y)) (* z (log (sqrt t))))
5.0ms	(* z (log (sqrt t)))

series387.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(- 1 (log (sqrt t)))
95.0ms	(fma z (- 1 (log (sqrt t))) (+ x y))
134.0ms	(- (fma z (- 1 (log (sqrt t))) (+ x y)) (* z (log (sqrt t))))
84.0ms	(* z (log (sqrt t)))

simplify65.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	519	1196
1	1911	958
2	5003	944

prune342.0ms

Filtered

135 candidates to 85 candidates (63.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	135	5	140

Merged error: 0b

Counts

140 → 5

regimes312.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	6
1	17	6

end0.0ms

sample1.5s

Algorithm

intervals

Results

434.0ms	9186×	body	80	valid
367.0ms	9306×	body	80	nan
1.0ms	3×	body	640	valid