Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

347×

body

valid

simplify36.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4

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

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- (+ x y) z) (* t 2.0))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 32

Calls

1 calls:

9.0ms

(/ (- (+ x y) z) (* t 2.0))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(/ (- (+ x y) z) (* t 2.0))

simplify74.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	208	207
1	763	178
2	3630	178
3	5002	178

prune63.0ms

Filtered

35 candidates to 25 candidates (71.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	32	3	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	4	36

Merged error: 0b

Counts

36 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ y t) (/ x t))
0.0b	(- (+ (/ y t) (/ x t)) (/ z t))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

246×	`*-un-lft-identity`
181×	`times-frac`
117×	`add-sqr-sqrt`
112×	`add-cube-cbrt`
104×	`prod-diff`
64×	`distribute-lft-out`
39×	`div-inv`
15×	`distribute-rgt-out`
13×	`fma-def`
9×	`add-log-exp`
8×	`fma-neg`
5×	`distribute-lft-out--`
3×	`frac-sub`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3-+` `diff-log` `frac-add` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `difference-of-squares`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

2 → 170

Calls

2 calls:

15.0ms	(+ (/ y t) (/ x t))
21.0ms	(- (+ (/ y t) (/ x t)) (/ z t))

series35.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(+ (/ y t) (/ x t))
19.0ms	(- (+ (/ y t) (/ x t)) (/ z t))

simplify71.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	614	3133
1	1852	2255
2	5001	2011

prune187.0ms

Filtered

176 candidates to 73 candidates (41.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	175	1	176
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	176	4	180

Merged error: 0b

Counts

180 → 4

localize9.0ms

Local error

Found 1 expressions with local error:

0.2b	(fma (/ 1 t) (+ y x) (- (/ z t)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (/ 1 t) (+ y x) (- (/ z t)))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(fma (/ 1 t) (+ y x) (- (/ z t)))

simplify49.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 4 (46.0ms)

Iter	Nodes	Cost
0	48	90
1	100	78
2	338	75
3	1807	73
4	5001	72

prune29.0ms

Filtered

13 candidates to 11 candidates (84.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	13	4	17

Merged error: 0b

Counts

17 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (+ x y) z)) (cbrt (- (+ x y) z)))
0.6b	(cbrt (- (+ x y) z))
0.6b	(cbrt (- (+ x y) z))
0.6b	(cbrt (- (+ x y) z))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
58×	`cbrt-prod`
37×	`add-sqr-sqrt`
22×	`distribute-lft-out--`
18×	`cbrt-div`
15×	`add-cube-cbrt` `swap-sqr`
11×	`pow1` `distribute-lft-out`
9×	`flip3--` `pow1/3` `associate-r` `associate-l` `flip--`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 119

Calls

4 calls:

16.0ms	(* (cbrt (- (+ x y) z)) (cbrt (- (+ x y) z)))
5.0ms	(cbrt (- (+ x y) z))
5.0ms	(cbrt (- (+ x y) z))
5.0ms	(cbrt (- (+ x y) z))

series569.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(* (cbrt (- (+ x y) z)) (cbrt (- (+ x y) z)))
145.0ms	(cbrt (- (+ x y) z))
152.0ms	(cbrt (- (+ x y) z))
146.0ms	(cbrt (- (+ x y) z))

simplify42.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	268	1077
1	1015	1022
2	5001	917

prune264.0ms

Filtered

131 candidates to 89 candidates (67.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	131	4	135

Merged error: 0b

Counts

135 → 4

regimes163.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample571.0ms

Algorithm

intervals

Results

312.0ms

10827×

body

valid

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4