Details

sample48.0ms

Algorithm

intervals

Results

13.0ms	292×	body	80	valid
11.0ms	293×	body	80	nan

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

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

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

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:

6.0ms	(* (- a 0.5) b)
11.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
11.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series253.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (- a 0.5) b)
154.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
35.0ms	(- (+ (+ x y) z) (* z (log t)))
35.0ms	(* z (log t))

simplify70.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	540	767
1	2622	717
2	5003	712

prune278.0ms

Filtered

102 candidates to 72 candidates (70.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	96	6	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	6	103

Merged error: 0.0b

Counts

103 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-log-exp`
24×	`frac-add`
17×	`sum-log`
15×	`*-un-lft-identity`
13×	`flip3--` `flip--`
12×	`add-sqr-sqrt` `log-prod` `associate-*l/`
10×	`add-cube-cbrt` `flip3-+` `flip-+`
7×	`pow1`
6×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `associate--r+`
5×	`diff-log`
4×	`associate-r`
3×	`associate-l` `distribute-lft-out`
2×	`+-commutative` `associate-+r-` `sub-neg` `associate-+l+` `associate-+r+`
1×	`associate-+l-` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

14.0ms	(+ (+ (+ x y) (- z (* z (log t)))) (* (- a 0.5) b))
7.0ms	(+ (+ x y) (- z (* z (log t))))
3.0ms	(- z (* z (log t)))
4.0ms	(* z (log t))

series259.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(+ (+ (+ x y) (- z (* z (log t)))) (* (- a 0.5) b))
35.0ms	(+ (+ x y) (- z (* z (log t))))
59.0ms	(- z (* z (log t)))
45.0ms	(* z (log t))

simplify109.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (93.0ms)

Iter	Nodes	Cost
0	867	1328
1	4366	1285
2	5001	1283

prune336.0ms

Filtered

108 candidates to 78 candidates (72.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	110	4	114

Merged error: 0.0b

Counts

114 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

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:

6.0ms	(* (- a 0.5) b)
10.0ms	(+ (+ (+ x y) (* (- 1 (log t)) z)) (* (- a 0.5) b))
6.0ms	(+ (+ x y) (* (- 1 (log t)) z))
10.0ms	(* (- 1 (log t)) z)

series273.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (- a 0.5) b)
144.0ms	(+ (+ (+ x y) (* (- 1 (log t)) z)) (* (- a 0.5) b))
37.0ms	(+ (+ x y) (* (- 1 (log t)) z))
66.0ms	(* (- 1 (log t)) z)

simplify101.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (21.0ms)

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

prune378.0ms

Filtered

101 candidates to 79 candidates (78.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	101	4	105

Merged error: 0.0b

Counts

105 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (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×	`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:

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

series725.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(* (cbrt t) (cbrt t))
173.0ms	(cbrt t)
171.0ms	(cbrt t)
179.0ms	(cbrt t)

simplify92.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (87.0ms)

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

prune323.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	85	4	89

Merged error: 0.0b

Counts

89 → 4

regimes334.0ms

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	23	8
1	23	8

end0.0ms

sample1.4s

Algorithm

intervals

Results

426.0ms	9177×	body	80	valid
365.0ms	9232×	body	80	nan