Details

sample53.0ms

Algorithm

intervals

Results

14.0ms	298×	body	80	valid
12.0ms	292×	body	80	nan

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	30	8
1	85	8
2	273	8
3	800	8
4	2123	8
5	5001	8

prune4.0ms

Filtered

1 candidates to 0 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: 0.1b

Counts

2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-log-exp`
18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt` `log-prod`
10×	`sum-log`
9×	`pow1`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
7×	`associate-r`
6×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `diff-log` `associate-*l/` `flip--` `associate--r+`
4×	`frac-add`
3×	`associate-+l+`
2×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `flip3-+` `log-pow` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 90

Calls

4 calls:

13.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
7.0ms	(* (- a 0.5) b)
9.0ms	(- (+ (+ x y) z) (* z (log t)))
5.0ms	(* z (log t))

series298.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
35.0ms	(* (- a 0.5) b)
48.0ms	(- (+ (+ x y) z) (* z (log t)))
46.0ms	(* z (log t))

simplify94.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	540	767
1	2622	717
2	5001	712

prune331.0ms

Filtered

102 candidates to 72 candidates (70.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	93	9	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	9	103

Merged error: 0.0b

Counts

103 → 9

localize22.0ms

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

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

series844.0ms

Counts

4 → 12

Calls

4 calls:

230.0ms	(* (cbrt t) (cbrt t))
205.0ms	(cbrt t)
207.0ms	(cbrt t)
201.0ms	(cbrt t)

simplify107.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (101.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune351.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	85	9	94

Merged error: 0.0b

Counts

94 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x y) (- z (* z (log t))))
0.0b	(* (- a 0.5) b)
0.2b	(- z (* z (log t)))
0.3b	(* z (log t))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`add-sqr-sqrt` `add-log-exp`
12×	`add-cube-cbrt` `log-prod`
9×	`pow1`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
7×	`associate-r`
6×	`distribute-rgt-in` `distribute-lft-in` `sum-log` `associate--r+`
4×	`flip3--` `frac-add` `flip--`
3×	`flip3-+` `diff-log` `flip-+` `distribute-lft-out`
2×	`sub-neg` `associate-+r+` `pow-prod-down` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-+r-` `associate-+l+` `log-pow` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 89

Calls

4 calls:

8.0ms	(+ (+ x y) (- z (* z (log t))))
7.0ms	(* (- a 0.5) b)
4.0ms	(- z (* z (log t)))
6.0ms	(* z (log t))

series191.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ (+ x y) (- z (* z (log t))))
33.0ms	(* (- a 0.5) b)
59.0ms	(- z (* z (log t)))
49.0ms	(* z (log t))

simplify81.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	518	585
1	2153	538
2	5001	529

prune286.0ms

Filtered

101 candidates to 67 candidates (66.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	3	4	7
Picked	0	1	1
Done	0	1	1
Total	103	7	110

Merged error: 0b

Counts

110 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x y) (* (- 1 (log t)) z))
0.0b	(+ (+ (+ x y) (* (- 1 (log t)) z)) (* (- a 0.5) b))
0.0b	(* (- a 0.5) b)
0.3b	(* (- 1 (log t)) z)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

28×	`associate-*l/`
24×	`frac-add`
18×	`add-log-exp`
17×	`add-sqr-sqrt`
14×	`flip3--` `*-un-lft-identity` `flip--`
12×	`associate-l`
10×	`flip3-+` `flip-+`
9×	`pow1` `sum-log`
8×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
6×	`associate-r`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`+-commutative` `associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`log-pow`

Counts

4 → 89

Calls

4 calls:

7.0ms	(+ (+ x y) (* (- 1 (log t)) z))
12.0ms	(+ (+ (+ x y) (* (- 1 (log t)) z)) (* (- a 0.5) b))
7.0ms	(* (- a 0.5) b)
8.0ms	(* (- 1 (log t)) z)

series445.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(+ (+ x y) (* (- 1 (log t)) z))
257.0ms	(+ (+ (+ x y) (* (- 1 (log t)) z)) (* (- a 0.5) b))
44.0ms	(* (- a 0.5) b)
88.0ms	(* (- 1 (log t)) z)

simplify130.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	862	1171
1	4386	1138
2	5001	1138

prune381.0ms

Filtered

101 candidates to 79 candidates (78.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	101	7	108

Merged error: 0b

Counts

108 → 7

regimes580.0ms

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	23	8
1	23	8

end0.0ms

sample1.5s

Algorithm

intervals

Results

442.0ms	9186×	body	80	valid
388.0ms	9306×	body	80	nan
1.0ms	3×	body	640	valid