Details

sample54.0ms

Algorithm

intervals

Results

14.0ms	311×	body	80	nan
13.0ms	299×	body	80	valid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

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

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 131

Calls

2 calls:

16.0ms	(- (+ (+ x y) z) (* z (log t)))
5.0ms	(* z (log t))

series78.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(- (+ (+ x y) z) (* z (log t)))
44.0ms	(* z (log t))

simplify77.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	452	1792
1	1796	1208
2	5003	1138

prune249.0ms

Filtered

137 candidates to 54 candidates (39.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	131	6	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	132	6	138

Merged error: 0b

Counts

138 → 6

localize12.0ms

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))

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify32.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (29.0ms)

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

prune63.0ms

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)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

63×	`prod-diff`
59×	`add-sqr-sqrt`
52×	`*-un-lft-identity`
43×	`add-cube-cbrt`
26×	`associate-l`
23×	`log-pow`
22×	`pow1`
12×	`associate-r`
9×	`add-log-exp`
7×	`sqrt-pow1` `pow1/2`
6×	`add-exp-log` `log-prod` `fma-neg` `add-cbrt-cube` `associate--r+`
5×	`distribute-lft-out--` `unswap-sqr`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `difference-of-squares`
3×	`diff-log` `sqrt-prod`
2×	`sub-neg` `flip3--` `flip--` `fma-udef`
1×	`pow-prod-down` `prod-exp` `associate--l+` `cbrt-unprod`

Counts

4 → 147

Calls

4 calls:

6.0ms	(- 1 (log (sqrt t)))
9.0ms	(- (fma z (- 1 (log (sqrt t))) (+ x y)) (* (log (sqrt t)) z))
1.0ms	(fma z (- 1 (log (sqrt t))) (+ x y))
5.0ms	(* (log (sqrt t)) z)

series451.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(- 1 (log (sqrt t)))
140.0ms	(- (fma z (- 1 (log (sqrt t))) (+ x y)) (* (log (sqrt t)) z))
103.0ms	(fma z (- 1 (log (sqrt t))) (+ x y))
128.0ms	(* (log (sqrt t)) z)

simplify88.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	667	2431
1	2214	1661
2	5001	1659

prune421.0ms

Filtered

159 candidates to 80 candidates (50.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	157	2	159
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	159	6	165

Merged error: 0b

Counts

165 → 6

localize19.0ms

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)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

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

series958.0ms

Counts

4 → 12

Calls

4 calls:

399.0ms	(* (cbrt t) (cbrt t))
180.0ms	(cbrt t)
185.0ms	(cbrt t)
194.0ms	(cbrt t)

simplify104.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	128	331
1	526	287
2	3275	261
3	5001	258

prune400.0ms

Filtered

96 candidates to 72 candidates (75.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	2	1	3
Picked	1	0	1
Done	0	2	2
Total	98	4	102

Merged error: 0b

Counts

102 → 4

regimes265.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	14
1	26	14

end0.0ms

sample1.4s

Algorithm

intervals

Results

418.0ms	9128×	body	80	valid
354.0ms	9132×	body	80	nan
1.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid