Details

sample152.0ms

Algorithm

intervals

Results

74.0ms	1622×	body	80	nan
14.0ms	256×	body	80	valid

simplify64.0ms

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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 2 expressions with local error:

0.2b	(fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
0.6b	(+ (log (+ x y)) (log z))

rewrite8.0ms

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))
7.0ms	(+ (log (+ x y)) (log z))

series167.0ms

Counts

2 → 6

Calls

2 calls:

92.0ms	(fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
74.0ms	(+ (log (+ x y)) (log z))

simplify54.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 3 (50.0ms)

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

prune190.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.2b	(fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
0.6b	(+ (log (+ x y)) (log z))

rewrite8.0ms

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))
7.0ms	(+ (log (+ x y)) (log z))

series168.0ms

Counts

2 → 6

Calls

2 calls:

94.0ms	(fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
74.0ms	(+ (log (+ x y)) (log z))

simplify54.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 3 (50.0ms)

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

prune201.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

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:

5.0ms	(* (log z) (log z))
7.0ms	(- (log (+ x y)) (log z))
2.0ms	(pow (log z) 3)
2.0ms	(pow (log (+ x y)) 3)

series732.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(* (log z) (log z))
78.0ms	(- (log (+ x y)) (log z))
178.0ms	(pow (log z) 3)
322.0ms	(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	5002	535

prune539.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
27×	`pow1`
24×	`add-sqr-sqrt` `unpow-prod-down` `cube-prod`
22×	`cbrt-prod`
20×	`log-pow`
16×	`add-cube-cbrt` `distribute-lft-out--`
9×	`pow-unpow`
7×	`add-exp-log` `add-cbrt-cube`
4×	`cube-div` `expm1-log1p-u` `cube-mult` `unpow3` `log1p-expm1-u` `add-log-exp` `difference-of-squares` `sqr-pow`
3×	`pow-to-exp` `pow-pow` `pow-exp` `rem-cube-cbrt`
2×	`cbrt-div` `flip3--` `flip--`
1×	`pow1/3` `rem-cbrt-cube`

Counts

4 → 126

Calls

4 calls:

7.0ms	(cbrt (pow (- (log (+ x y)) (log z)) 3))
2.0ms	(pow (log z) 3)
7.0ms	(pow (- (log (+ x y)) (log z)) 3)
2.0ms	(pow (log (+ x y)) 3)

series902.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(cbrt (pow (- (log (+ x y)) (log z)) 3))
180.0ms	(pow (log z) 3)
316.0ms	(pow (- (log (+ x y)) (log z)) 3)
330.0ms	(pow (log (+ x y)) 3)

simplify57.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	365	815
1	1626	751
2	5002	732

prune487.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

regimes510.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	23
1	32	23
2	32	23

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.5s	55100×	body	80	nan
439.0ms	8032×	body	80	valid