Details

sample42.0ms

Algorithm

intervals

Results

30.0ms

328×

body

valid

simplify96.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	22	6
1	50	6
2	124	4
3	280	4
4	534	4
5	869	4
6	1397	4
7	3521	4
8	5001	4

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
0.0b	(/ (* 4.0 (- (+ x (* y 0.25)) z)) y)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`add-log-exp`
3×	`fma-def` `times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `associate-*r/` `div-exp` `log1p-expm1-u` `associate-/l/`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `sum-log` `flip--` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

2 → 42

Calls

2 calls:

9.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
23.0ms	(/ (* 4.0 (- (+ x (* y 0.25)) z)) y)

series66.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
40.0ms	(/ (* 4.0 (- (+ x (* y 0.25)) z)) y)

simplify32.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	265	349
1	1079	306
2	5002	297

prune109.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 4.0 (/ x y) (- 2.0 (* 4.0 (/ z y))))
0.0b	(* 4.0 (/ z y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l`
2×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `fma-udef` `div-inv`

Counts

2 → 44

Calls

2 calls:

0.0ms	(fma 4.0 (/ x y) (- 2.0 (* 4.0 (/ z y))))
10.0ms	(* 4.0 (/ z y))

series45.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(fma 4.0 (/ x y) (- 2.0 (* 4.0 (/ z y))))
18.0ms	(* 4.0 (/ z y))

simplify73.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	193	228
1	829	202
2	3625	202
3	5002	199

prune108.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (/ x y) (/ z y))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

253×	`times-frac`
204×	`add-sqr-sqrt`
200×	`*-un-lft-identity`
192×	`add-cube-cbrt`
169×	`prod-diff`
29×	`div-inv`
13×	`fma-neg`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `frac-sub` `add-cbrt-cube` `flip--` `log1p-expm1-u` `sub-div`

Counts

1 → 207

Calls

1 calls:

24.0ms

(- (/ x y) (/ z y))

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(- (/ x y) (/ z y))

simplify75.0ms

Algorithm

egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	689	4514
1	1779	3192
2	5002	2769

prune222.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4

end0.0ms

sample1.1s

Algorithm

intervals

Results

873.0ms

10138×

body

valid