Details

sample175.0ms

Algorithm

intervals

Results

91.0ms	1865×	body	80	nan
14.0ms	256×	body	80	valid

simplify60.0ms

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: 0.2b

localize15.0ms

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))

rewrite41.0ms

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:

11.0ms	(- (+ (log (+ x y)) (log z)) t)
13.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
7.0ms	(* (- a 0.5) (log t))
7.0ms	(+ (log (+ x y)) (log z))

series479.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(- (+ (log (+ x y)) (log z)) t)
192.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
58.0ms	(* (- a 0.5) (log t))
67.0ms	(+ (log (+ x y)) (log z))

simplify59.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (49.0ms)

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

prune364.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

4.0ms	(- (log z) t)
14.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
9.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
8.0ms	(* (- a 0.5) (log t))

series395.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- (log z) t)
192.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
88.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
54.0ms	(* (- a 0.5) (log t))

simplify61.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	643	915
1	2283	856
2	5001	845

prune377.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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))

rewrite25.0ms

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:

13.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))

series548.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
132.0ms	(cbrt (+ x y))
125.0ms	(cbrt (+ x y))
125.0ms	(cbrt (+ x y))

simplify142.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (134.0ms)

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

prune454.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

14.0ms	(+ (log (+ x y)) (+ (+ (- (log z) t) (* (log (sqrt t)) (- a 0.5))) (* (log (sqrt t)) (- a 0.5))))
9.0ms	(+ (- (log z) t) (* (log (sqrt t)) (- a 0.5)))
7.0ms	(* (log (sqrt t)) (- a 0.5))
7.0ms	(* (log (sqrt t)) (- a 0.5))

series594.0ms

Counts

4 → 12

Calls

4 calls:

295.0ms	(+ (log (+ x y)) (+ (+ (- (log z) t) (* (log (sqrt t)) (- a 0.5))) (* (log (sqrt t)) (- a 0.5))))
157.0ms	(+ (- (log z) t) (* (log (sqrt t)) (- a 0.5)))
72.0ms	(* (log (sqrt t)) (- a 0.5))
71.0ms	(* (log (sqrt t)) (- a 0.5))

simplify62.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	607	1216
1	2278	1062
2	5001	1058

prune412.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes499.0ms

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

sample5.1s

Algorithm

intervals

Results

2.7s	56720×	body	80	nan
462.0ms	8026×	body	80	valid