Details

sample55.0ms

Algorithm

intervals

Results

17.0ms	303×	body	80	valid
12.0ms	311×	body	80	nan

simplify51.0ms

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

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

rewrite32.0ms

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))

series236.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
33.0ms	(* (- a 0.5) b)
33.0ms	(- (+ (+ x y) z) (* z (log t)))
40.0ms	(* z (log t))

simplify73.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (65.0ms)

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

prune320.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

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:

12.0ms	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
8.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
5.0ms	(* (log (sqrt t)) z)
5.0ms	(* z (log (sqrt t)))

series498.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
46.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
309.0ms	(* (log (sqrt t)) z)
85.0ms	(* z (log (sqrt t)))

simplify59.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	425	907
1	1943	795
2	5003	766

prune373.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (+ (+ x y) (- z (* (log (sqrt t)) z))) (* z (log (sqrt t))))
0.2b	(- z (* (log (sqrt t)) z))
0.3b	(* (log (sqrt t)) z)
0.3b	(* z (log (sqrt t)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

12.0ms	(- (+ (+ x y) (- z (* (log (sqrt t)) z))) (* z (log (sqrt t))))
3.0ms	(- z (* (log (sqrt t)) z))
4.0ms	(* (log (sqrt t)) z)
5.0ms	(* z (log (sqrt t)))

series372.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(- (+ (+ x y) (- z (* (log (sqrt t)) z))) (* z (log (sqrt t))))
101.0ms	(- z (* (log (sqrt t)) z))
126.0ms	(* (log (sqrt t)) z)
90.0ms	(* z (log (sqrt t)))

simplify61.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	441	877
1	1825	795
2	5001	749

prune379.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ x y) (* z (- 1 (* (log (sqrt t)) 2)))) (* (- a 0.5) b))
0.0b	(- 1 (* (log (sqrt t)) 2))
0.0b	(* (- a 0.5) b)
0.3b	(* z (- 1 (* (log (sqrt t)) 2)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

13.0ms	(+ (+ (+ x y) (* z (- 1 (* (log (sqrt t)) 2)))) (* (- a 0.5) b))
3.0ms	(- 1 (* (log (sqrt t)) 2))
6.0ms	(* (- a 0.5) b)
5.0ms	(* z (- 1 (* (log (sqrt t)) 2)))

series477.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(+ (+ (+ x y) (* z (- 1 (* (log (sqrt t)) 2)))) (* (- a 0.5) b))
93.0ms	(- 1 (* (log (sqrt t)) 2))
34.0ms	(* (- a 0.5) b)
132.0ms	(* z (- 1 (* (log (sqrt t)) 2)))

simplify117.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	930	1354
1	4729	1301
2	5001	1301

prune402.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes313.0ms

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	27	10
1	27	10

end0.0ms

sample1.4s

Algorithm

intervals

Results

434.0ms	9116×	body	80	valid
367.0ms	9173×	body	80	nan
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid