Details

sample31.0ms

Algorithm

intervals

Results

15.0ms

312×

body

valid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	51	4
4	58	4
5	64	4
6	81	4
7	112	4
8	159	4
9	273	4
10	370	4
11	428	4
12	450	4
13	465	4
14	465	4

prune3.0ms

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

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- x 1.0) z)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`-un-lft-identity` `associate-l*`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
2×	`associate-*l/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

10.0ms

(* (- x 1.0) z)

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(* (- x 1.0) z)

simplify44.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	105	88
1	395	78
2	1885	78
3	5003	78

prune43.0ms

Filtered

25 candidates to 18 candidates (72.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	4	26

Merged error: 0b

Counts

26 → 4

localize10.0ms

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)

rewrite10.0ms

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

5.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series919.0ms

Counts

4 → 12

Calls

4 calls:

369.0ms	(* (cbrt z) (cbrt z))
169.0ms	(cbrt z)
175.0ms	(cbrt z)
206.0ms	(cbrt z)

simplify88.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune164.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	85	4	89

Merged error: 0b

Counts

89 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x 1.0) z)
0.0b	(sqrt (* (- x 1.0) z))
0.0b	(sqrt (* (- x 1.0) z))
0.2b	(* (sqrt (* (- x 1.0) z)) (sqrt (* (- x 1.0) z)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*l/`
16×	`add-sqr-sqrt` `sqrt-div`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3--` `associate-l` `flip--`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-r`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`associate-r/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 105

Calls

4 calls:

6.0ms	(* (- x 1.0) z)
4.0ms	(sqrt (* (- x 1.0) z))
4.0ms	(sqrt (* (- x 1.0) z))
13.0ms	(* (sqrt (* (- x 1.0) z)) (sqrt (* (- x 1.0) z)))

series236.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (- x 1.0) z)
80.0ms	(sqrt (* (- x 1.0) z))
80.0ms	(sqrt (* (- x 1.0) z))
29.0ms	(* (sqrt (* (- x 1.0) z)) (sqrt (* (- x 1.0) z)))

simplify50.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	242	506
1	1072	457
2	5002	434

prune204.0ms

Filtered

117 candidates to 70 candidates (59.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	117	4	121

Merged error: 0b

Counts

121 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (+ (sqrt x) (sqrt 1.0)) (* (- (sqrt x) (sqrt 1.0)) z))
0.1b	(* (- (sqrt x) (sqrt 1.0)) z)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
14×	`associate-l`
13×	`*-un-lft-identity`
10×	`associate-*l/`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`sqrt-prod`
5×	`add-cube-cbrt`
4×	`frac-times` `flip3--` `associate-r` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `difference-of-squares`
3×	`flip3-+` `flip-+`
2×	`associate-r/` `-commutative` `distribute-lft-out` `distribute-lft-out--` `add-log-exp`
1×	`unswap-sqr`

Counts

2 → 54

Calls

2 calls:

13.0ms	(* (+ (sqrt x) (sqrt 1.0)) (* (- (sqrt x) (sqrt 1.0)) z))
8.0ms	(* (- (sqrt x) (sqrt 1.0)) z)

series443.0ms

Counts

2 → 6

Calls

2 calls:

346.0ms	(* (+ (sqrt x) (sqrt 1.0)) (* (- (sqrt x) (sqrt 1.0)) z))
97.0ms	(* (- (sqrt x) (sqrt 1.0)) z)

simplify50.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	402	571
1	1865	450
2	5002	443

prune118.0ms

Filtered

60 candidates to 42 candidates (70.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	60	4	64

Merged error: 0b

Counts

64 → 4

regimes76.0ms

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

sample479.0ms

Algorithm

intervals

Results

278.0ms

10104×

body

valid

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	51	4
4	58	4
5	64	4
6	81	4
7	112	4
8	159	4
9	273	4
10	370	4
11	428	4
12	450	4
13	465	4
14	465	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	51	4
4	58	4
5	64	4
6	81	4
7	112	4
8	159	4
9	273	4
10	370	4
11	428	4
12	450	4
13	465	4
14	465	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	51	4
4	58	4
5	64	4
6	81	4
7	112	4
8	159	4
9	273	4
10	370	4
11	428	4
12	450	4
13	465	4
14	465	4