Details

sample176.0ms

Algorithm

intervals

Results

90.0ms	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

localize16.0ms

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))

rewrite37.0ms

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:

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

series501.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(- (+ (log (+ x y)) (log z)) t)
198.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
60.0ms	(* (- a 0.5) (log t))
73.0ms	(+ (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

prune398.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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))

rewrite34.0ms

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)
10.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
9.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
7.0ms	(* (- a 0.5) (log t))

series407.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(- (log z) t)
194.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
90.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
60.0ms	(* (- a 0.5) (log t))

simplify59.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (49.0ms)

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

prune396.0ms

Pruning

8 alts after pruning (8 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))

rewrite22.0ms

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:

10.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))

series546.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
123.0ms	(cbrt (+ x y))
133.0ms	(cbrt (+ x y))
127.0ms	(cbrt (+ x y))

simplify139.0ms

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

prune460.0ms

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

12.0ms	(+ (log (sqrt (+ x y))) (+ (- (log z) t) (* (- a 0.5) (log t))))
17.0ms	(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (+ (- (log z) t) (* (- a 0.5) (log t)))))
12.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
7.0ms	(* (- a 0.5) (log t))

series675.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(+ (log (sqrt (+ x y))) (+ (- (log z) t) (* (- a 0.5) (log t))))
282.0ms	(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (+ (- (log z) t) (* (- a 0.5) (log t)))))
90.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
60.0ms	(* (- a 0.5) (log t))

simplify76.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	779	1434
1	2793	1317
2	5002	1309

prune475.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes503.0ms

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
457.0ms	8026×	body	80	valid