Details

sample60.0ms

Algorithm

intervals

Results

16.0ms	354×	body	80	nan
16.0ms	293×	body	80	valid
0.0ms	1×	body	640	valid

simplify52.0ms

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

prune10.0ms

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 4 expressions with local error:

0.0b	(+ (+ x y) z)
0.0b	(fma b (- a 0.5) (- (+ (+ x y) z) (* z (log t))))
0.1b	(- (+ (+ x y) z) (* z (log t)))
0.2b	(* z (log t))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

6.0ms	(+ (+ x y) z)
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))

series191.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ (+ x y) z)
105.0ms	(fma b (- a 0.5) (- (+ (+ x y) z) (* z (log t))))
36.0ms	(- (+ (+ x y) z) (* z (log t)))
35.0ms	(* z (log t))

simplify55.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	363	571
1	1634	504
2	5001	486

prune274.0ms

Filtered

103 candidates to 74 candidates (71.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	99	4	103
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	99	5	104

Merged error: 0.0b

Counts

104 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

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

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

series341.0ms

Counts

3 → 9

Calls

3 calls:

167.0ms	(- 1 (log t))
125.0ms	(fma b (- a 0.5) (fma z (- 1 (log t)) (+ x y)))
49.0ms	(fma z (- 1 (log t)) (+ x y))

simplify150.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (36.0ms)

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

prune149.0ms

Filtered

65 candidates to 43 candidates (66.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	65	5	70

Merged error: 0.0b

Counts

70 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* z (* 2 (log (cbrt t))))
0.3b	(* z (log (cbrt t)))
0.5b	(cbrt t)
0.5b	(cbrt t)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 104

Calls

4 calls:

6.0ms	(* z (* 2 (log (cbrt t))))
5.0ms	(* z (log (cbrt t)))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series519.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* z (* 2 (log (cbrt t))))
88.0ms	(* z (log (cbrt t)))
164.0ms	(cbrt t)
166.0ms	(cbrt t)

simplify42.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	298	668
1	1166	591
2	5001	567

prune330.0ms

Filtered

116 candidates to 77 candidates (66.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	115	6	121

Merged error: 0.0b

Counts

121 → 6

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.6b	(cbrt (* z (log (cbrt t))))
0.6b	(cbrt (* z (log (cbrt t))))
0.6b	(cbrt (* z (log (cbrt t))))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 46

Calls

4 calls:

1.0ms	(cbrt t)
2.0ms	(cbrt (* z (log (cbrt t))))
3.0ms	(cbrt (* z (log (cbrt t))))
3.0ms	(cbrt (* z (log (cbrt t))))

series718.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt t)
182.0ms	(cbrt (* z (log (cbrt t))))
174.0ms	(cbrt (* z (log (cbrt t))))
178.0ms	(cbrt (* z (log (cbrt t))))

simplify59.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 4 (54.0ms)

Iter	Nodes	Cost
0	110	322
1	218	292
2	615	275
3	2115	266
4	5001	263

prune251.0ms

Filtered

58 candidates to 50 candidates (86.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	58	6	64

Merged error: 0.0b

Counts

64 → 6

regimes344.0ms

Accuracy

0% (0.0b 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

sample1.6s

Algorithm

intervals

Results

521.0ms	9166×	body	80	valid
450.0ms	9299×	body	80	nan
0.0ms	1×	body	640	valid
0.0ms	2×	body	160	valid