Details

sample191.0ms

Algorithm

intervals

Results

98.0ms	2074×	body	80	nan
14.0ms	257×	body	80	valid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	27	9
1	61	8
2	161	8
3	393	8
4	984	8
5	2256	8
6	4095	8
7	5001	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
7×	`pow1` `log-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `log-pow` `distribute-lft-out`
4×	`associate-+l+` `fma-def`
3×	`associate-+r+`
2×	`add-exp-log` `expm1-log1p-u` `associate-+l-` `log-div` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `add-log-exp`
1×	`+-commutative` `sum-log` `fma-udef`

Counts

2 → 40

Calls

2 calls:

0.0ms	(fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
6.0ms	(+ (log (+ x y)) (log z))

series162.0ms

Counts

2 → 6

Calls

2 calls:

92.0ms	(fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
70.0ms	(+ (log (+ x y)) (log z))

simplify58.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	262	323
1	662	288
2	2590	282
3	5001	278

prune191.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

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))

rewrite28.0ms

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×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `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 → 103

Calls

4 calls:

18.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))

series538.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
123.0ms	(cbrt (+ x y))
124.0ms	(cbrt (+ x y))
128.0ms	(cbrt (+ x y))

simplify149.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	255	701
1	926	660
2	4357	610
3	5001	610

prune504.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (log z) (log z))
0.6b	(- (log (+ x y)) (log z))
0.7b	(pow (log z) 3)
0.7b	(pow (log (+ x y)) 3)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

36×	`pow1`
35×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
27×	`add-cube-cbrt`
23×	`log-pow`
16×	`prod-diff`
13×	`log-prod`
8×	`add-exp-log` `unpow-prod-down` `cube-prod` `add-cbrt-cube`
6×	`pow-unpow` `swap-sqr`
4×	`expm1-log1p-u` `fma-neg` `associate-r` `associate-l` `associate--l+` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `associate--r+`
2×	`associate--l-` `cube-mult` `pow-to-exp` `log-div` `pow-pow` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`pow2` `sub-neg` `flip3--` `flip3-+` `pow-plus` `diff-log` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out` `difference-of-squares` `unswap-sqr`

Counts

4 → 140

Calls

4 calls:

4.0ms	(* (log z) (log z))
9.0ms	(- (log (+ x y)) (log z))
2.0ms	(pow (log z) 3)
2.0ms	(pow (log (+ x y)) 3)

series695.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(* (log z) (log z))
73.0ms	(- (log (+ x y)) (log z))
170.0ms	(pow (log z) 3)
306.0ms	(pow (log (+ x y)) 3)

simplify79.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	393	728
1	1983	622
2	5001	535

prune493.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow (log z) 3)
0.7b	(pow (log z) 3)
0.7b	(pow (log (+ x y)) 3)
0.7b	(pow (log (+ x y)) 3)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `cube-prod`
12×	`pow-unpow`
8×	`add-exp-log` `log-pow` `add-cbrt-cube`
4×	`expm1-log1p-u` `cube-mult` `pow-to-exp` `pow-pow` `unpow3` `pow-exp` `log1p-expm1-u` `add-log-exp` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 108

Calls

4 calls:

1.0ms	(pow (log z) 3)
1.0ms	(pow (log z) 3)
2.0ms	(pow (log (+ x y)) 3)
2.0ms	(pow (log (+ x y)) 3)

series940.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(pow (log z) 3)
168.0ms	(pow (log z) 3)
305.0ms	(pow (log (+ x y)) 3)
300.0ms	(pow (log (+ x y)) 3)

simplify35.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	194	444
1	782	396
2	5001	360

prune419.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

regimes456.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	16
1	21	16

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.6s	56138×	body	80	nan
449.0ms	8032×	body	80	valid