Details

sample57.0ms

Algorithm

intervals

Results

17.0ms	294×	body	80	valid
15.0ms	300×	body	80	nan

simplify47.0ms

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

localize15.0ms

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)))
0.2b	(* z (log t))

rewrite33.0ms

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:

11.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
6.0ms	(* (- a 0.5) b)
8.0ms	(- (+ (+ x y) z) (* z (log t)))
5.0ms	(* z (log t))

series225.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
26.0ms	(* (- a 0.5) b)
37.0ms	(- (+ (+ x y) z) (* z (log t)))
35.0ms	(* z (log t))

simplify69.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (61.0ms)

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

prune266.0ms

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

localize23.0ms

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)

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)

series736.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(* (cbrt t) (cbrt t))
175.0ms	(cbrt t)
182.0ms	(cbrt t)
179.0ms	(cbrt t)

simplify95.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (83.0ms)

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

prune289.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

localize13.0ms

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)
0.2b	(* z (log t))
0.3b	(- z (* z (log t)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

12.0ms	(+ (+ (+ x y) (- z (* z (log t)))) (* (- a 0.5) b))
11.0ms	(* (- a 0.5) b)
5.0ms	(* z (log t))
4.0ms	(- z (* z (log t)))

series242.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(+ (+ (+ x y) (- z (* z (log t)))) (* (- a 0.5) b))
27.0ms	(* (- a 0.5) b)
44.0ms	(* z (log t))
44.0ms	(- z (* z (log t)))

simplify301.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (98.0ms)

Iter	Nodes	Cost
0	884	1139
1	4435	1094
2	5001	1092

prune308.0ms

Filtered

106 candidates to 78 candidates (73.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	106	6	112

Merged error: 0.0b

Counts

112 → 6

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

11.0ms	(+ (+ (+ x y) (* (- 1 (log t)) z)) (* (- a 0.5) b))
6.0ms	(* (- a 0.5) b)
7.0ms	(* (- 1 (log t)) z)

series235.0ms

Counts

3 → 9

Calls

3 calls:

143.0ms	(+ (+ (+ x y) (* (- 1 (log t)) z)) (* (- a 0.5) b))
27.0ms	(* (- a 0.5) b)
65.0ms	(* (- 1 (log t)) z)

simplify110.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	833	950
1	4247	918
2	5001	918

prune241.0ms

Filtered

81 candidates to 62 candidates (76.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	80	7	87

Merged error: 0b

Counts

87 → 7

regimes476.0ms

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	26	15
1	26	15

end0.0ms

sample1.7s

Algorithm

intervals

Results

551.0ms	9191×	body	80	valid
466.0ms	9275×	body	80	nan
0.0ms	1×	body	2560	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	640	valid