Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

329×

body

valid

simplify102.0ms

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

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
0.0b	(- (+ x (* y 0.75)) z)
0.0b	(+ x (* y 0.75))
0.1b	(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

9.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
16.0ms	(- (+ x (* y 0.75)) z)
2.0ms	(+ x (* y 0.75))
22.0ms	(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

series110.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
21.0ms	(- (+ x (* y 0.75)) z)
25.0ms	(+ x (* y 0.75))
40.0ms	(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

simplify50.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	419	659
1	1695	507
2	5001	488

prune214.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
10×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
3×	`expm1-log1p-u` `fma-neg` `associate-l` `prod-diff` `log1p-expm1-u`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3--` `diff-log` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `flip--` `fma-udef` `div-inv`

Counts

3 → 64

Calls

3 calls:

7.0ms	(* 4.0 (/ z y))
2.0ms	(- 4.0 (* 4.0 (/ z y)))
0.0ms	(fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y))))

series72.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(* 4.0 (/ z y))
26.0ms	(- 4.0 (* 4.0 (/ z y)))
28.0ms	(fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y))))

simplify40.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	256	352
1	1131	317
2	5001	316

prune164.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (/ (* 4.0 (+ (- (fma 0.75 y x) z) (fma (- z) 1 z))) y))
0.0b	(- (fma 0.75 y x) z)
0.1b	(/ (* 4.0 (+ (- (fma 0.75 y x) z) (fma (- z) 1 z))) y)
0.1b	(fma 0.75 y x)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

11.0ms	(+ 1.0 (/ (* 4.0 (+ (- (fma 0.75 y x) z) (fma (- z) 1 z))) y))
3.0ms	(- (fma 0.75 y x) z)
18.0ms	(/ (* 4.0 (+ (- (fma 0.75 y x) z) (fma (- z) 1 z))) y)
0.0ms	(fma 0.75 y x)

series470.0ms

Counts

4 → 12

Calls

4 calls:

368.0ms	(+ 1.0 (/ (* 4.0 (+ (- (fma 0.75 y x) z) (fma (- z) 1 z))) y))
22.0ms	(- (fma 0.75 y x) z)
55.0ms	(/ (* 4.0 (+ (- (fma 0.75 y x) z) (fma (- z) 1 z))) y)
23.0ms	(fma 0.75 y x)

simplify48.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	381	673
1	1705	551
2	5002	549

prune233.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt z) (cbrt z))
0.0ms	(cbrt z)
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series732.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(* (cbrt z) (cbrt z))
182.0ms	(cbrt z)
177.0ms	(cbrt z)
177.0ms	(cbrt z)

simplify89.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune262.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes53.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample515.0ms

Algorithm

intervals

Results

303.0ms

10124×

body

valid