Details

sample84.0ms

Algorithm

intervals

Results

17.0ms	373×	body	80	nan
15.0ms	294×	body	80	valid
0.0ms	1×	body	640	valid

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

prune6.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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	(+ (- (+ (+ 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))

rewrite31.0ms

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)))
4.0ms	(* z (log t))

series262.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
37.0ms	(* (- a 0.5) b)
36.0ms	(- (+ (+ x y) z) (* z (log t)))
46.0ms	(* z (log t))

simplify71.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	540	767
1	2622	717
2	5002	712

prune465.0ms

Filtered

102 candidates to 72 candidates (29.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	95	7	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	7	103

Merged error: 0.0b

Counts

103 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-log-exp`
24×	`log-prod`
20×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1` `distribute-rgt-in` `distribute-lft-in` `sqrt-prod` `associate--r+`
10×	`diff-log`
9×	`associate-r` `associate-l`
8×	`add-exp-log` `add-cbrt-cube`
6×	`sum-log` `log-pow`
5×	`associate--l+`
3×	`sub-neg`
2×	`flip3--` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`associate--l-`

Counts

4 → 100

Calls

4 calls:

8.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
11.0ms	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
4.0ms	(* (log (sqrt t)) z)
5.0ms	(* z (log (sqrt t)))

series466.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
61.0ms	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
208.0ms	(* (log (sqrt t)) z)
144.0ms	(* z (log (sqrt t)))

simplify59.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	435	919
1	2083	813
2	5001	784

prune585.0ms

Filtered

112 candidates to 75 candidates (33.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	112	7	119

Merged error: 0.0b

Counts

119 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* z (* 2 (log (cbrt t))))
0.3b	(* z (log (cbrt t)))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-r` `associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 96

Calls

4 calls:

6.0ms	(* z (* 2 (log (cbrt t))))
5.0ms	(* z (log (cbrt t)))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series633.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(* z (* 2 (log (cbrt t))))
104.0ms	(* z (log (cbrt t)))
189.0ms	(cbrt t)
191.0ms	(cbrt t)

simplify43.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	292	642
1	1160	565
2	5001	541

prune667.0ms

Filtered

108 candidates to 69 candidates (36.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	108	7	115

Merged error: 0.0b

Counts

115 → 7

localize12.0ms

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

rewrite33.0ms

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:

6.0ms	(- (* b (- a 0.5)) (* z (log t)))
6.0ms	(* b (- a 0.5))
14.0ms	(+ (+ (+ x y) z) (- (* b (- a 0.5)) (* z (log t))))
4.0ms	(* z (log t))

series303.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(- (* b (- a 0.5)) (* z (log t)))
55.0ms	(* b (- a 0.5))
129.0ms	(+ (+ (+ x y) z) (- (* b (- a 0.5)) (* z (log t))))
47.0ms	(* z (log t))

simplify76.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (66.0ms)

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

prune500.0ms

Filtered

116 candidates to 74 candidates (36.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	4	4
Picked	1	0	1
Done	0	2	2
Total	116	7	123

Merged error: 0b

Counts

123 → 7

regimes1.2s

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	22	13
1	22	13

end0.0ms

sample2.0s

Algorithm

intervals

Results

477.0ms	9137×	body	80	valid
413.0ms	9379×	body	80	nan
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid

Details

sample84.0ms

simplify50.0ms

prune6.0ms

localize12.0ms

rewrite31.0ms

series262.0ms

simplify71.0ms

prune465.0ms

localize19.0ms

rewrite31.0ms

series466.0ms

simplify59.0ms

prune585.0ms

localize17.0ms

rewrite16.0ms

series633.0ms

simplify43.0ms

prune667.0ms

localize12.0ms

rewrite33.0ms

series303.0ms

simplify76.0ms

prune500.0ms

regimes1.2s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.0s

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