Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

312×

body

valid

simplify116.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	3
1	25	3
2	36	3
3	40	3
4	46	3
5	58	3
6	93	3
7	130	3
8	163	3
9	273	3
10	507	3
11	1618	3
12	5001	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

3.0ms	(+ x (* y (+ z x)))
6.0ms	(* y (+ z x))

series50.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ x (* y (+ z x)))
25.0ms	(* y (+ z x))

simplify97.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	186	164
1	769	149
2	3889	149
3	5003	149

prune72.0ms

Filtered

42 candidates to 28 candidates (66.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	38	4	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	5	43

Merged error: 0.0b

Counts

43 → 5

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 13

Calls

1 calls:

5.0ms

(+ (+ x (* z y)) (* x y))

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(+ (+ x (* z y)) (* x y))

simplify64.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	110	101
1	449	86
2	2106	84
3	5001	84

prune30.0ms

Filtered

16 candidates to 10 candidates (62.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	15	6	21

Merged error: 0.0b

Counts

21 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity` `sqrt-div`
15×	`add-sqr-sqrt`
14×	`associate-r`
13×	`sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*r/`
9×	`flip3-+` `flip-+`
6×	`add-log-exp`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out`
2×	`associate-l/` `-commutative` `unswap-sqr`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `sum-log`

Counts

4 → 82

Calls

4 calls:

3.0ms	(sqrt (+ z x))
3.0ms	(+ x (* (* y (sqrt (+ z x))) (sqrt (+ z x))))
7.0ms	(* y (sqrt (+ z x)))
11.0ms	(* (* y (sqrt (+ z x))) (sqrt (+ z x)))

series175.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sqrt (+ z x))
36.0ms	(+ x (* (* y (sqrt (+ z x))) (sqrt (+ z x))))
60.0ms	(* y (sqrt (+ z x)))
43.0ms	(* (* y (sqrt (+ z x))) (sqrt (+ z x)))

simplify49.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	430	633
1	1814	524
2	5001	506

prune192.0ms

Filtered

94 candidates to 63 candidates (67.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	94	6	100

Merged error: 0.0b

Counts

100 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- z x))
0.0b	(* y (+ z x))
0.1b	(* (+ (* y (- z x)) x) (+ x (* y (+ z x))))
28.0b	(/ (* (+ (* y (- z x)) x) (+ x (* y (+ z x)))) (+ (* y (- z x)) x))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

8.0ms	(* y (- z x))
6.0ms	(* y (+ z x))
10.0ms	(* (+ (* y (- z x)) x) (+ x (* y (+ z x))))
15.0ms	(/ (* (+ (* y (- z x)) x) (+ x (* y (+ z x)))) (+ (* y (- z x)) x))

series142.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* y (- z x))
23.0ms	(* y (+ z x))
64.0ms	(* (+ (* y (- z x)) x) (+ x (* y (+ z x))))
21.0ms	(/ (* (+ (* y (- z x)) x) (+ x (* y (+ z x)))) (+ (* y (- z x)) x))

simplify97.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	566	1022
1	3479	899
2	5001	853

prune228.0ms

Filtered

120 candidates to 83 candidates (69.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	1	1	2
Picked	0	1	1
Done	1	2	3
Total	120	6	126

Merged error: 0b

Counts

126 → 6

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	11	4
1	11	4

end0.0ms

sample408.0ms

Algorithm

intervals

Results

200.0ms

10127×

body

valid