Details

sample48.0ms

Algorithm

intervals

Results

14.0ms	299×	body	80	valid
10.0ms	269×	body	80	nan

simplify49.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

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))

rewrite368.0ms

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:

10.0ms	(* (- a 0.5) b)
253.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
98.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series217.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (- a 0.5) b)
124.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
32.0ms	(- (+ (+ x y) z) (* z (log t)))
35.0ms	(* 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	5003	712

prune298.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

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

rewrite99.0ms

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:

79.0ms	(+ (+ (+ x y) (- z (* z (log t)))) (* (- a 0.5) b))
10.0ms	(* (- a 0.5) b)
3.0ms	(- z (* z (log t)))
4.0ms	(* z (log t))

series236.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(+ (+ (+ x y) (- z (* z (log t)))) (* (- a 0.5) b))
32.0ms	(* (- a 0.5) b)
42.0ms	(- z (* z (log t)))
40.0ms	(* z (log t))

simplify106.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (93.0ms)

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

prune506.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

9.0ms	(* (- a 0.5) b)
7.0ms	(- z (+ (* z (log (sqrt t))) (* z (log (sqrt t)))))
5.0ms	(* z (log (sqrt t)))
5.0ms	(* z (log (sqrt t)))

series306.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (- a 0.5) b)
115.0ms	(- z (+ (* z (log (sqrt t))) (* z (log (sqrt t)))))
80.0ms	(* z (log (sqrt t)))
82.0ms	(* z (log (sqrt t)))

simplify54.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	369	767
1	1438	659
2	5001	626

prune333.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

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

rewrite94.0ms

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)))
9.0ms	(* b (- a 0.5))
70.0ms	(+ (+ (+ x y) z) (- (* b (- a 0.5)) (* z (log t))))
4.0ms	(* z (log t))

series230.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (* b (- a 0.5)) (* z (log t)))
29.0ms	(* b (- a 0.5))
114.0ms	(+ (+ (+ x y) z) (- (* b (- a 0.5)) (* z (log t))))
40.0ms	(* z (log t))

simplify81.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (70.0ms)

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

prune290.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes306.0ms

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	22	13
1	22	13

end0.0ms

sample1.4s

Algorithm

intervals

Results

447.0ms	9219×	body	80	valid
370.0ms	9090×	body	80	nan
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid