Details

analyze459.0ms

Algorithm: search

sample23.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	72×	body	80	invalid

simplify34.0ms

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

prune4.0ms

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

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

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:

12.0ms

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

series11.0ms

Counts

1 → 3

Calls

1 calls:

11.0ms

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

simplify68.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 1 (6.0ms)

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

prune46.0ms

Filtered

23 candidates to 33 candidates (-43.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	4	34

Merged error: 0b

Counts

34 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (/ y t) (/ x t)) (/ z t))
0.0b	(+ (/ y t) (/ x t))
0.2b	(* 0.5 (- (+ (/ y t) (/ x t)) (/ z t)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
26×	`times-frac`
25×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
12×	`distribute-lft-out`
10×	`associate-r` `distribute-lft-out--` `add-log-exp`
6×	`frac-sub`
5×	`pow1` `add-exp-log` `associate-*r/` `add-cbrt-cube`
4×	`difference-of-squares`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3-+` `associate-l` `frac-add` `associate--l+` `flip-+`
2×	`flip3--` `diff-log` `sum-log` `flip--` `div-inv`
1×	`+-commutative` `distribute-rgt-out` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 77

Calls

3 calls:

20.0ms	(- (+ (/ y t) (/ x t)) (/ z t))
12.0ms	(+ (/ y t) (/ x t))
25.0ms	(* 0.5 (- (+ (/ y t) (/ x t)) (/ z t)))

series26.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(- (+ (/ y t) (/ x t)) (/ z t))
6.0ms	(+ (/ y t) (/ x t))
11.0ms	(* 0.5 (- (+ (/ y t) (/ x t)) (/ z t)))

simplify40.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	344	648
1	1396	598
2	5001	588

prune79.0ms

Filtered

59 candidates to 86 candidates (-45.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	86	4	90

Merged error: 0b

Counts

90 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (+ x y) z) (* t 2.0))
0.2b	(* (sqrt (/ (- (+ x y) z) (* t 2.0))) (sqrt (/ (- (+ x y) z) (* t 2.0))))
0.6b	(sqrt (/ (- (+ x y) z) (* t 2.0)))
0.6b	(sqrt (/ (- (+ x y) z) (* t 2.0)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

86×	`*-un-lft-identity`
78×	`sqrt-prod`
54×	`times-frac`
52×	`add-sqr-sqrt`
24×	`distribute-lft-out--`
22×	`add-cube-cbrt`
21×	`pow1` `swap-sqr`
13×	`associate-r` `associate-l`
12×	`distribute-lft-out`
11×	`add-exp-log` `add-cbrt-cube`
10×	`sqrt-pow1` `pow1/2`
8×	`difference-of-squares`
7×	`div-inv`
6×	`sqrt-div` `associate-/l*`
5×	`pow-prod-up`
4×	`add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`cbrt-undiv` `rem-sqrt-square` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/`
1×	`pow2` `frac-times` `flip3--` `frac-2neg` `pow-plus` `sqrt-unprod` `div-sub` `associate-r/` `associate-l/` `clear-num` `associate-/r` `rem-square-sqrt` `-commutative` `flip--`

Counts

4 → 151

Calls

4 calls:

9.0ms	(/ (- (+ x y) z) (* t 2.0))
23.0ms	(* (sqrt (/ (- (+ x y) z) (* t 2.0))) (sqrt (/ (- (+ x y) z) (* t 2.0))))
7.0ms	(sqrt (/ (- (+ x y) z) (* t 2.0)))
7.0ms	(sqrt (/ (- (+ x y) z) (* t 2.0)))

series107.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(/ (- (+ x y) z) (* t 2.0))
39.0ms	(* (sqrt (/ (- (+ x y) z) (* t 2.0))) (sqrt (/ (- (+ x y) z) (* t 2.0))))
30.0ms	(sqrt (/ (- (+ x y) z) (* t 2.0)))
27.0ms	(sqrt (/ (- (+ x y) z) (* t 2.0)))

simplify59.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	397	1145
1	1765	1043
2	5001	1022

prune164.0ms

Filtered

97 candidates to 163 candidates (-68.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	163	4	167

Merged error: 0b

Counts

167 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* t 2.0) (+ (+ x y) z))
0.0b	(* (+ x y) (+ x y))
4.1b	(- (* (+ x y) (+ x y)) (* z z))
33.9b	(/ (- (* (+ x y) (+ x y)) (* z z)) (* (* t 2.0) (+ (+ x y) z)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
20×	`add-exp-log` `add-cbrt-cube`
16×	`pow1`
13×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
9×	`associate-r` `distribute-lft-out`
8×	`flip3-+` `flip-+`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-*r/` `swap-sqr` `add-log-exp`
5×	`associate-l`
4×	`frac-times` `times-frac` `pow-prod-down` `associate-/l*`
3×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `difference-of-squares`
2×	`flip3--` `associate-l/` `associate--l+` `associate-/r/` `-commutative` `flip--` `associate-/l/`
1×	`pow2` `sub-neg` `frac-2neg` `pow-plus` `diff-log` `div-sub` `clear-num` `associate-/r*` `pow-sqr` `pow-prod-up` `div-inv` `unswap-sqr`

Counts

4 → 109

Calls

4 calls:

9.0ms	(* (* t 2.0) (+ (+ x y) z))
8.0ms	(* (+ x y) (+ x y))
10.0ms	(- (* (+ x y) (+ x y)) (* z z))
19.0ms	(/ (- (* (+ x y) (+ x y)) (* z z)) (* (* t 2.0) (+ (+ x y) z)))

series59.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (* t 2.0) (+ (+ x y) z))
4.0ms	(* (+ x y) (+ x y))
15.0ms	(- (* (+ x y) (+ x y)) (* z z))
30.0ms	(/ (- (* (+ x y) (+ x y)) (* z z)) (* (* t 2.0) (+ (+ x y) z)))

simplify103.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (90.0ms)

Iter	Nodes	Cost
0	619	940
1	3712	789
2	5001	785

prune96.0ms

Filtered

74 candidates to 121 candidates (-63.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	121	4	125

Merged error: 0b

Counts

125 → 4

regimes474.0ms

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

analyze440.0ms

Algorithm: search

sample580.0ms

Algorithm

intervals

Results

248.0ms	8000×	body	80	valid
84.0ms	2642×	body	80	invalid

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

analyze459.0ms

sample23.0ms

simplify34.0ms

prune4.0ms

localize7.0ms

rewrite14.0ms

series11.0ms

simplify68.0ms

prune46.0ms

localize9.0ms

rewrite62.0ms

series26.0ms

simplify40.0ms

prune79.0ms

localize9.0ms

rewrite53.0ms

series107.0ms

simplify59.0ms

prune164.0ms

localize11.0ms

rewrite50.0ms

series59.0ms

simplify103.0ms

prune96.0ms

regimes474.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze440.0ms

sample580.0ms

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