Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

320×

body

valid

simplify185.0ms

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))

rewrite20.0ms

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:

3.0ms	(+ x (* y (- z x)))
16.0ms	(* y (- z x))

series73.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ x (* y (- z x)))
43.0ms	(* y (- z x))

simplify92.0ms

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

prune72.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y (- (* z z) (* x x))) (+ z x)))
3.4b	(- (* z z) (* x x))
11.4b	(* y (- (* z z) (* x x)))
19.8b	(/ (* y (- (* z z) (* x x))) (+ z x))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1`
4×	`times-frac` `associate-r/` `associate-r` `associate-/r`
3×	`sub-neg` `flip3--` `associate-l` `flip--` `distribute-lft-out`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `associate-/l/` `difference-of-squares`
1×	`+-commutative` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

13.0ms	(+ x (/ (* y (- (* z z) (* x x))) (+ z x)))
3.0ms	(- (* z z) (* x x))
10.0ms	(* y (- (* z z) (* x x)))
11.0ms	(/ (* y (- (* z z) (* x x))) (+ z x))

series219.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(+ x (/ (* y (- (* z z) (* x x))) (+ z x)))
30.0ms	(- (* z z) (* x x))
67.0ms	(* y (- (* z z) (* x x)))
70.0ms	(/ (* y (- (* z z) (* x x))) (+ z x))

simplify51.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	367	620
1	1808	538
2	5001	507

prune156.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ z x))
3.4b	(- (* z z) (* x x))
11.4b	(* y (- (* z z) (* x x)))
19.9b	(* (* y (- (* z z) (* x x))) (/ 1 (+ z x)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
32×	`add-exp-log`
25×	`add-sqr-sqrt`
24×	`times-frac`
23×	`add-cube-cbrt`
22×	`associate-r`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
7×	`associate-*r/` `cbrt-unprod` `distribute-lft-out`
6×	`div-exp` `add-log-exp`
4×	`flip3--` `associate-l` `pow-prod-down` `associate-/r*` `associate-/r/` `flip--`
3×	`cbrt-undiv` `sub-neg` `rec-exp` `1-exp` `associate-/l*`
2×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `flip3-+` `associate-l/` `-commutative` `flip-+` `div-inv` `difference-of-squares`
1×	`pow-flip` `frac-2neg` `diff-log` `clear-num` `un-div-inv` `inv-pow` `unswap-sqr`

Counts

4 → 122

Calls

4 calls:

5.0ms	(/ 1 (+ z x))
3.0ms	(- (* z z) (* x x))
10.0ms	(* y (- (* z z) (* x x)))
28.0ms	(* (* y (- (* z z) (* x x))) (/ 1 (+ z x)))

series204.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ 1 (+ z x))
34.0ms	(- (* z z) (* x x))
63.0ms	(* y (- (* z z) (* x x)))
75.0ms	(* (* y (- (* z z) (* x x))) (/ 1 (+ z x)))

simplify74.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	462	849
1	2633	702
2	5002	667

prune204.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes56.0ms

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

sample397.0ms

Algorithm

intervals

Results

202.0ms

10173×

body

valid