Details

sample52.0ms

Algorithm

intervals

Results

15.0ms	299×	body	80	valid
11.0ms	311×	body	80	nan

simplify50.0ms

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

prune6.0ms

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 2 expressions with local error:

0.1b	(- (+ (+ x y) z) (* z (log t)))
0.3b	(* z (log t))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 60

Calls

2 calls:

9.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series72.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(- (+ (+ x y) z) (* z (log t)))
39.0ms	(* z (log t))

simplify40.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	268	391
1	1227	340
2	5002	323

prune196.0ms

Filtered

66 candidates to 44 candidates (66.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	60	6	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	6	67

Merged error: 0b

Counts

67 → 6

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma z (- 1 (log t)) (+ x y))

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(fma z (- 1 (log t)) (+ x y))

simplify25.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (23.0ms)

Iter	Nodes	Cost
0	76	82
1	236	70
2	1055	70
3	5001	69

prune65.0ms

Filtered

13 candidates to 11 candidates (84.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	13	6	19

Merged error: 0b

Counts

19 → 6

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
21×	`prod-diff`
20×	`add-cube-cbrt`
15×	`pow1`
13×	`log-pow`
7×	`add-log-exp`
6×	`add-exp-log` `log-prod` `fma-neg` `associate-l` `add-cbrt-cube` `associate--r+`
4×	`expm1-log1p-u` `sqrt-pow1` `pow1/2` `log1p-expm1-u`
3×	`associate-r` `sqrt-prod`
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 → 99

Calls

4 calls:

6.0ms	(- 1 (log (sqrt t)))
3.0ms	(- (fma z (- 1 (log (sqrt t))) (+ x y)) (* (log (sqrt t)) z))
1.0ms	(fma z (- 1 (log (sqrt t))) (+ x y))
4.0ms	(* (log (sqrt t)) z)

series424.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(- 1 (log (sqrt t)))
135.0ms	(- (fma z (- 1 (log (sqrt t))) (+ x y)) (* (log (sqrt t)) z))
96.0ms	(fma z (- 1 (log (sqrt t))) (+ x y))
117.0ms	(* (log (sqrt t)) z)

simplify57.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	467	979
1	1609	755
2	5002	751

prune362.0ms

Filtered

111 candidates to 74 candidates (66.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	109	2	111
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	111	6	117

Merged error: 0b

Counts

117 → 6

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

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:

5.0ms	(* (cbrt t) (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series717.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(* (cbrt t) (cbrt t))
178.0ms	(cbrt t)
173.0ms	(cbrt t)
178.0ms	(cbrt t)

simplify86.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (81.0ms)

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

prune375.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	2	1	3
Picked	1	0	1
Done	0	2	2
Total	95	4	99

Merged error: 0b

Counts

99 → 4

regimes256.0ms

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	25	13
1	25	13

end0.0ms

sample1.6s

Algorithm

intervals

Results

605.0ms	9128×	body	80	valid
342.0ms	9132×	body	80	nan
1.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid