Details

sample272.0ms

Algorithm

intervals

Results

171.0ms	1968×	body	80	nan
28.0ms	257×	body	80	valid

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	9
1	59	9
2	153	9
3	360	9
4	813	9
5	1639	9
6	3143	9
7	5001	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.1b	(* (- a 0.5) (log t))
0.6b	(+ (log (+ x y)) (log z))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

26.0ms	(- (+ (log (+ x y)) (log z)) t)
96.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
12.0ms	(* (- a 0.5) (log t))
6.0ms	(+ (log (+ x y)) (log z))

series470.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(- (+ (log (+ x y)) (log z)) t)
185.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
55.0ms	(* (- a 0.5) (log t))
68.0ms	(+ (log (+ x y)) (log z))

simplify64.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	618	1003
1	2230	940
2	5001	924

prune367.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 80

Calls

3 calls:

41.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
11.0ms	(* (- a 0.5) (log t))
19.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))

series335.0ms

Counts

3 → 9

Calls

3 calls:

191.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
57.0ms	(* (- a 0.5) (log t))
87.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))

simplify55.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	623	837
1	2250	781
2	5001	772

prune318.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

51×	`*-un-lft-identity`
31×	`log-prod`
26×	`add-sqr-sqrt`
25×	`add-log-exp`
20×	`associate-*l/` `frac-add`
19×	`pow1`
18×	`add-cube-cbrt` `distribute-lft-out`
17×	`sum-log`
16×	`flip3--` `flip--`
13×	`log-pow`
12×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `sqrt-prod`
10×	`associate-l`
9×	`associate-+l+`
8×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
5×	`flip3-+` `flip-+`
4×	`associate-+l-` `diff-log`
3×	`associate--l+`
2×	`+-commutative` `log-div` `associate-+r+` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`associate-+r-` `sub-neg`

Counts

4 → 141

Calls

4 calls:

75.0ms	(+ (log (+ x y)) (+ (- (log z) t) (+ (* (- a 0.5) (log (sqrt t))) (* (- a 0.5) (log (sqrt t))))))
12.0ms	(* (- a 0.5) (log (sqrt t)))
15.0ms	(* (- a 0.5) (log (sqrt t)))
31.0ms	(+ (- (log z) t) (+ (* (- a 0.5) (log (sqrt t))) (* (- a 0.5) (log (sqrt t)))))

series584.0ms

Counts

4 → 12

Calls

4 calls:

283.0ms	(+ (log (+ x y)) (+ (- (log z) t) (+ (* (- a 0.5) (log (sqrt t))) (* (- a 0.5) (log (sqrt t))))))
60.0ms	(* (- a 0.5) (log (sqrt t)))
57.0ms	(* (- a 0.5) (log (sqrt t)))
183.0ms	(+ (- (log z) t) (+ (* (- a 0.5) (log (sqrt t))) (* (- a 0.5) (log (sqrt t)))))

simplify137.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (114.0ms)

Iter	Nodes	Cost
0	849	2053
1	4165	1757
2	5002	1741

prune477.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x y)) (cbrt (+ x y)))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

19.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))
6.0ms	(cbrt (+ x y))

series556.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
128.0ms	(cbrt (+ x y))
131.0ms	(cbrt (+ x y))
129.0ms	(cbrt (+ x y))

simplify140.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (132.0ms)

Iter	Nodes	Cost
0	246	671
1	881	634
2	4190	584
3	5001	580

prune443.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes429.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	17
1	24	17

end0.0ms

sample7.9s

Algorithm

intervals

Results

5.0s	56983×	body	80	nan
896.0ms	8033×	body	80	valid