Details

sample18.0ms

Algorithm

intervals

Results

6.0ms

335×

body

valid

simplify183.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	17	3
2	31	3
3	46	3
4	53	3
5	62	3
6	80	3
7	118	3
8	235	3
9	467	3
10	832	3
11	1212	3
12	1786	3
13	3407	3
14	5002	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (- z x)))
0.0b	(* y (- z x))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-r`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `sub-neg` `associate-+r+` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

10.0ms	(+ x (* y (- z x)))
23.0ms	(* y (- z x))

series67.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ x (* y (- z x)))
40.0ms	(* y (- z x))

simplify88.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	172	180
1	731	165
2	3520	165
3	5001	165

prune77.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* z y))
0.0b	(+ (+ x (* z y)) (* y (- x)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `distribute-rgt-neg-out` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `unsub-neg`

Counts

2 → 26

Calls

2 calls:

5.0ms	(+ x (* z y))
23.0ms	(+ (+ x (* z y)) (* y (- x)))

series52.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ x (* z y))
28.0ms	(+ (+ x (* z y)) (* y (- x)))

simplify86.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	166	174
1	672	155
2	3139	150
3	5001	144

prune55.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- z x))
0.0b	(sqrt (- z x))
0.1b	(* y (sqrt (- z x)))
0.1b	(* (* y (sqrt (- z x))) (sqrt (- z x)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`sqrt-prod`
19×	`*-un-lft-identity`
18×	`sqrt-div`
16×	`associate-r`
13×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3--` `flip--`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

7.0ms	(sqrt (- z x))
8.0ms	(sqrt (- z x))
22.0ms	(* y (sqrt (- z x)))
51.0ms	(* (* y (sqrt (- z x))) (sqrt (- z x)))

series234.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(sqrt (- z x))
58.0ms	(sqrt (- z x))
87.0ms	(* y (sqrt (- z x)))
31.0ms	(* (* y (sqrt (- z x))) (sqrt (- z x)))

simplify45.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	345	607
1	1414	527
2	5001	507

prune194.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (* z y)) (* y (- x)))
0.1b	(sqrt (+ (+ x (* z y)) (* y (- x))))
0.1b	(sqrt (+ (+ x (* z y)) (* y (- x))))
0.2b	(* (sqrt (+ (+ x (* z y)) (* y (- x)))) (sqrt (+ (+ x (* z y)) (* y (- x)))))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+` `add-log-exp`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `sum-log` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/` `distribute-rgt-neg-out`
1×	`+-commutative` `pow2` `associate-+l+` `pow-plus` `sqrt-unprod` `unsub-neg` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 102

Calls

4 calls:

22.0ms	(+ (+ x (* z y)) (* y (- x)))
23.0ms	(sqrt (+ (+ x (* z y)) (* y (- x))))
22.0ms	(sqrt (+ (+ x (* z y)) (* y (- x))))
105.0ms	(* (sqrt (+ (+ x (* z y)) (* y (- x)))) (sqrt (+ (+ x (* z y)) (* y (- x)))))

series450.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (+ x (* z y)) (* y (- x)))
197.0ms	(sqrt (+ (+ x (* z y)) (* y (- x))))
200.0ms	(sqrt (+ (+ x (* z y)) (* y (- x))))
27.0ms	(* (sqrt (+ (+ x (* z y)) (* y (- x)))) (sqrt (+ (+ x (* z y)) (* y (- x)))))

simplify45.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	262	1117
1	1163	1001
2	5001	964

prune211.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes65.0ms

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	8	3
1	8	3

end0.0ms

sample457.0ms

Algorithm

intervals

Results

179.0ms

10140×

body

valid