Details

sample35.0ms

Algorithm

intervals

Results

24.0ms

328×

body

valid

simplify95.0ms

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 3 expressions with local error:

0.0b	(- (+ x (* y 0.75)) z)
0.0b	(+ x (* y 0.75))
0.1b	(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`prod-diff`
8×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `expm1-log1p-u` `fma-def` `times-frac` `fma-neg` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `flip3--` `diff-log` `associate-*r/` `div-exp` `sum-log` `flip--` `associate-/l/`
1×	`+-commutative` `sub-neg` `frac-2neg` `flip3-+` `prod-exp` `associate--l+` `clear-num` `cbrt-unprod` `flip-+` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 71

Calls

3 calls:

19.0ms	(- (+ x (* y 0.75)) z)
2.0ms	(+ x (* y 0.75))
24.0ms	(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

series86.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(- (+ x (* y 0.75)) z)
24.0ms	(+ x (* y 0.75))
36.0ms	(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

simplify40.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	348	514
1	1472	368
2	5002	353

prune176.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 4.0 (/ x y) (- 3.0 (* 4.0 (/ z y))))
0.0b	(* 4.0 (/ z y))

rewrite10.0ms

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) (- 3.0 (* 4.0 (/ z y))))
8.0ms	(* 4.0 (/ z y))

series50.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(fma 4.0 (/ x y) (- 3.0 (* 4.0 (/ z y))))
23.0ms	(* 4.0 (/ z y))

simplify79.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (75.0ms)

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

prune119.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite42.0ms

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:

25.0ms

(- (/ 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

prune233.0ms

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	12	5
1	12	5

end0.0ms

sample988.0ms

Algorithm

intervals

Results

763.0ms

10138×

body

valid