Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

334×

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))

rewrite11.0ms

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:

10.0ms

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

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify73.0ms

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

prune56.0ms

Filtered

35 candidates to 25 candidates (71.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	3	36

Merged error: 0.0b

Counts

36 → 3

localize8.0ms

Local error

Found 1 expressions with local error:

0.5b	(* (/ 1 t) (/ (- (+ x y) z) 2.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
34×	`times-frac`
23×	`add-exp-log`
22×	`associate-r`
18×	`add-cube-cbrt`
13×	`associate-l` `add-cbrt-cube`
8×	`div-exp` `prod-exp`
6×	`distribute-lft-out--` `unswap-sqr`
4×	`cbrt-undiv` `cbrt-unprod`
3×	`pow1` `distribute-lft-out` `difference-of-squares`
2×	`rec-exp` `1-exp` `div-inv`
1×	`expm1-log1p-u` `frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 67

Calls

1 calls:

16.0ms

(* (/ 1 t) (/ (- (+ x y) z) 2.0))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(* (/ 1 t) (/ (- (+ x y) z) 2.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	400	513
1	1807	434
2	5003	428

prune97.0ms

Filtered

70 candidates to 44 candidates (62.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	70	3	73

Merged error: 0.0b

Counts

73 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ (- (+ x y) z) (* t 2.0))) (cbrt (/ (- (+ x y) z) (* t 2.0))))
2.0b	(cbrt (/ (- (+ x y) z) (* t 2.0)))
2.0b	(cbrt (/ (- (+ x y) z) (* t 2.0)))
2.0b	(cbrt (/ (- (+ x y) z) (* t 2.0)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

86×	`cbrt-prod`
81×	`*-un-lft-identity`
54×	`times-frac`
44×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `distribute-lft-out--`
19×	`swap-sqr`
13×	`associate-r` `associate-l`
11×	`pow1` `distribute-lft-out`
9×	`pow1/3`
7×	`cbrt-div` `div-inv` `difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 135

Calls

4 calls:

17.0ms	(* (cbrt (/ (- (+ x y) z) (* t 2.0))) (cbrt (/ (- (+ x y) z) (* t 2.0))))
7.0ms	(cbrt (/ (- (+ x y) z) (* t 2.0)))
8.0ms	(cbrt (/ (- (+ x y) z) (* t 2.0)))
7.0ms	(cbrt (/ (- (+ x y) z) (* t 2.0)))

series1.2s

Counts

4 → 12

Calls

4 calls:

393.0ms	(* (cbrt (/ (- (+ x y) z) (* t 2.0))) (cbrt (/ (- (+ x y) z) (* t 2.0))))
260.0ms	(cbrt (/ (- (+ x y) z) (* t 2.0)))
256.0ms	(cbrt (/ (- (+ x y) z) (* t 2.0)))
257.0ms	(cbrt (/ (- (+ x y) z) (* t 2.0)))

simplify52.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	369	1660
1	1290	1576
2	5001	1487

prune350.0ms

Filtered

147 candidates to 107 candidates (72.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	147	3	150

Merged error: 0.0b

Counts

150 → 3

regimes136.0ms

Accuracy

0% (0.1b 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

sample576.0ms

Algorithm

intervals

Results

288.0ms

10849×

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