Details

sample51.0ms

Algorithm

intervals

Results

13.0ms	283×	body	80	valid
11.0ms	270×	body	80	nan

simplify50.0ms

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

localize16.0ms

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))

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:

12.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
6.0ms	(* (- a 0.5) b)
9.0ms	(- (+ (+ x y) z) (* z (log t)))
5.0ms	(* z (log t))

series229.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
27.0ms	(* (- a 0.5) b)
38.0ms	(- (+ (+ x y) z) (* z (log t)))
36.0ms	(* 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	5001	712

prune436.0ms

Filtered

102 candidates to 72 candidates (70.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	94	8	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	8	103

Merged error: 0.0b

Counts

103 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* b (- a 0.5)) (* z (log t)))
0.0b	(* b (- a 0.5))
0.1b	(+ (+ (+ x y) z) (- (* b (- a 0.5)) (* z (log t))))
0.2b	(* z (log t))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

12.0ms	(- (* b (- a 0.5)) (* z (log t)))
11.0ms	(* b (- a 0.5))
21.0ms	(+ (+ (+ x y) z) (- (* b (- a 0.5)) (* z (log t))))
5.0ms	(* z (log t))

series233.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (* b (- a 0.5)) (* z (log t)))
28.0ms	(* b (- a 0.5))
116.0ms	(+ (+ (+ x y) z) (- (* b (- a 0.5)) (* z (log t))))
46.0ms	(* z (log t))

simplify79.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	568	854
1	2788	805
2	5001	800

prune254.0ms

Filtered

116 candidates to 74 candidates (63.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	114	2	116
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	116	8	124

Merged error: 0.0b

Counts

124 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ x y) z) (* a b))
0.0b	(- (* b (- 0.5)) (* z (log t)))
0.1b	(+ (+ (+ (+ x y) z) (* a b)) (- (* b (- 0.5)) (* z (log t))))
0.2b	(* z (log t))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

11.0ms	(+ (+ (+ x y) z) (* a b))
5.0ms	(- (* b (- 0.5)) (* z (log t)))
14.0ms	(+ (+ (+ (+ x y) z) (* a b)) (- (* b (- 0.5)) (* z (log t))))
5.0ms	(* z (log t))

series245.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ (+ (+ x y) z) (* a b))
50.0ms	(- (* b (- 0.5)) (* z (log t)))
112.0ms	(+ (+ (+ (+ x y) z) (* a b)) (- (* b (- 0.5)) (* z (log t))))
36.0ms	(* z (log t))

simplify78.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	519	922
1	2484	883
2	5001	858

prune247.0ms

Filtered

96 candidates to 68 candidates (70.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	96	8	104

Merged error: 0.0b

Counts

104 → 8

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)

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:

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

series708.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(* (cbrt t) (cbrt t))
171.0ms	(cbrt t)
169.0ms	(cbrt t)
173.0ms	(cbrt t)

simplify88.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (82.0ms)

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

prune271.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	85	8	93

Merged error: 0b

Counts

93 → 8

regimes537.0ms

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	10
1	30	10
2	31	10
3	31	10

end0.0ms

sample1.5s

Algorithm

intervals

Results

452.0ms	9173×	body	80	valid
387.0ms	9480×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid