Details

sample311.0ms

Algorithm

intervals

Results

204.0ms	1967×	body	80	nan
34.0ms	257×	body	80	valid

simplify58.0ms

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))

rewrite157.0ms

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:

35.0ms	(- (+ (log (+ x y)) (log z)) t)
99.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
10.0ms	(* (- a 0.5) (log t))
6.0ms	(+ (log (+ x y)) (log z))

series492.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(- (+ (log (+ x y)) (log z)) t)
193.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
53.0ms	(* (- a 0.5) (log t))
71.0ms	(+ (log (+ x y)) (log z))

simplify73.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (61.0ms)

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

prune371.0ms

Pruning

9 alts after pruning (9 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)))
0.6b	(+ (log (+ x y)) (log z))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 137

Calls

4 calls:

113.0ms	(+ (- (+ (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)))
12.0ms	(* (- a 0.5) (log (sqrt t)))
6.0ms	(+ (log (+ x y)) (log z))

series486.0ms

Counts

4 → 12

Calls

4 calls:

289.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (+ (* (- a 0.5) (log (sqrt t))) (* (- a 0.5) (log (sqrt t)))))
62.0ms	(* (- a 0.5) (log (sqrt t)))
59.0ms	(* (- a 0.5) (log (sqrt t)))
75.0ms	(+ (log (+ x y)) (log z))

simplify144.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (127.0ms)

Iter	Nodes	Cost
0	844	2033
1	4103	1715
2	5001	1697

prune501.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

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:

2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))
21.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))

series550.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(cbrt (+ x y))
128.0ms	(cbrt (+ x y))
126.0ms	(cbrt (+ x y))
166.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))

simplify147.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (139.0ms)

Iter	Nodes	Cost
0	246	671
1	888	634
2	4196	584
3	5001	580

prune501.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite9.0ms

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:

5.0ms	(* (cbrt z) (cbrt z))
0.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series736.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(* (cbrt z) (cbrt z))
180.0ms	(cbrt z)
177.0ms	(cbrt z)
177.0ms	(cbrt z)

simplify94.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (88.0ms)

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

prune387.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes625.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	23
1	26	23

end0.0ms

sample8.9s

Algorithm

intervals

Results

5.9s	56302×	body	80	nan
1.0s	8028×	body	80	valid