Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

341×

body

valid

simplify35.0ms

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` `flip3--` `frac-2neg` `div-sub` `prod-exp` `clear-num` `associate-/r*` `flip--` `cbrt-unprod` `div-inv` `add-log-exp`

Counts

1 → 30

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))

simplify85.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	203	198
1	740	169
2	3492	169
3	5001	169

prune55.0ms

Filtered

33 candidates to 23 candidates (69.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	3	34

Merged error: 0b

Counts

34 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
16×	`times-frac`
12×	`add-sqr-sqrt`
9×	`add-log-exp`
8×	`distribute-lft-out`
7×	`add-cube-cbrt`
5×	`distribute-lft-out--`
3×	`frac-sub`
2×	`pow1` `add-exp-log` `flip3-+` `diff-log` `frac-add` `sum-log` `add-cbrt-cube` `flip-+` `div-inv` `difference-of-squares`
1×	`+-commutative` `sub-neg` `distribute-rgt-out` `flip3--` `associate--l+` `flip--`

Counts

2 → 41

Calls

2 calls:

18.0ms	(- (+ (/ y t) (/ x t)) (/ z t))
11.0ms	(+ (/ y t) (/ x t))

series38.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(- (+ (/ y t) (/ x t)) (/ z t))
16.0ms	(+ (/ y t) (/ x t))

simplify52.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	220	339
1	671	323
2	2370	316
3	5002	316

prune80.0ms

Filtered

47 candidates to 35 candidates (74.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	47	3	50

Merged error: 0b

Counts

50 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ (- (+ x y) z) (* t 2.0))) (cbrt (/ (- (+ x y) z) (* t 2.0))))
1.7b	(cbrt (/ (- (+ x y) z) (* t 2.0)))
1.7b	(cbrt (/ (- (+ x y) z) (* t 2.0)))
1.7b	(cbrt (/ (- (+ x y) z) (* t 2.0)))

rewrite45.0ms

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×	`add-cbrt-cube` `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 → 127

Calls

4 calls:

20.0ms	(* (cbrt (/ (- (+ x y) z) (* t 2.0))) (cbrt (/ (- (+ x y) z) (* t 2.0))))
7.0ms	(cbrt (/ (- (+ x y) z) (* t 2.0)))
7.0ms	(cbrt (/ (- (+ x y) z) (* t 2.0)))
7.0ms	(cbrt (/ (- (+ x y) z) (* t 2.0)))

series1.2s

Counts

4 → 12

Calls

4 calls:

394.0ms	(* (cbrt (/ (- (+ x y) z) (* t 2.0))) (cbrt (/ (- (+ x y) z) (* t 2.0))))
289.0ms	(cbrt (/ (- (+ x y) z) (* t 2.0)))
288.0ms	(cbrt (/ (- (+ x y) z) (* t 2.0)))
252.0ms	(cbrt (/ (- (+ x y) z) (* t 2.0)))

simplify52.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	358	1601
1	1238	1521
2	5001	1444

prune325.0ms

Filtered

139 candidates to 99 candidates (71.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	139	3	142

Merged error: 0b

Counts

142 → 3

regimes204.0ms

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	13	6
1	13	6

end0.0ms

sample574.0ms

Algorithm

intervals

Results

313.0ms

10845×

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

Details

sample21.0ms

simplify35.0ms

prune2.0ms

localize6.0ms

rewrite10.0ms

series41.0ms

simplify85.0ms

prune55.0ms

localize8.0ms

rewrite31.0ms

series38.0ms

simplify52.0ms

prune80.0ms

localize10.0ms

rewrite45.0ms

series1.2s

simplify52.0ms

prune325.0ms

regimes204.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample574.0ms

Profiling

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