Details

sample58.0ms

Algorithm

intervals

Results

19.0ms

393×

body

valid

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	80	4
3	254	4
4	641	4
5	1066	4
6	2373	4
7	3914	4
8	5001	4

prune4.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

3.0ms	(+ x (* (- y z) (- t x)))
8.0ms	(* (- y z) (- t x))

series23.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ x (* (- y z) (- t x)))
9.0ms	(* (- y z) (- t x))

simplify38.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	290	310
1	1174	292
2	5001	291

prune156.0ms

Filtered

55 candidates to 40 candidates (27.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	3	56

Merged error: 0.0b

Counts

56 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (+ (* (- y z) t) (* (- y z) (neg x))))
0.0b	(* (- y z) t)
0.0b	(* (- y z) (neg x))
0.0b	(+ (* (- y z) t) (* (- y z) (neg x)))

rewrite216.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`associate-r`
12×	`associate-*l/`
11×	`add-log-exp`
10×	`add-cube-cbrt` `associate-l`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`flip3--` `flip--`
5×	`distribute-rgt-neg-out`
4×	`frac-add` `sum-log`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`+-commutative` `associate-+r-` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`neg-mul-1` `associate-+r+`

Counts

4 → 86

Calls

4 calls:

194.0ms	(+ x (+ (* (- y z) t) (* (- y z) (neg x))))
6.0ms	(* (- y z) t)
7.0ms	(* (- y z) (neg x))
7.0ms	(+ (* (- y z) t) (* (- y z) (neg x)))

series40.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ x (+ (* (- y z) t) (* (- y z) (neg x))))
6.0ms	(* (- y z) t)
6.0ms	(* (- y z) (neg x))
12.0ms	(+ (* (- y z) t) (* (- y z) (neg x)))

simplify60.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	464	589
1	2070	523
2	5003	518

prune480.0ms

Filtered

98 candidates to 77 candidates (21.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	97	4	101

Merged error: 0b

Counts

101 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

1.6b	(+ (* z z) (* y z))
1.8b	(- (pow y 3) (pow z 3))
5.7b	(* (- (pow y 3) (pow z 3)) (- t x))
32.0b	(/ (* (- (pow y 3) (pow z 3)) (- t x)) (+ (* y y) (+ (* z z) (* y z))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 131

Calls

4 calls:

3.0ms	(+ (* z z) (* y z))
12.0ms	(- (pow y 3) (pow z 3))
18.0ms	(* (- (pow y 3) (pow z 3)) (- t x))
21.0ms	(/ (* (- (pow y 3) (pow z 3)) (- t x)) (+ (* y y) (+ (* z z) (* y z))))

series54.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ (* z z) (* y z))
7.0ms	(- (pow y 3) (pow z 3))
15.0ms	(* (- (pow y 3) (pow z 3)) (- t x))
26.0ms	(/ (* (- (pow y 3) (pow z 3)) (- t x)) (+ (* y y) (+ (* z z) (* y z))))

simplify86.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	595	1194
1	3098	1086
2	5002	1080

prune1.0s

Filtered

143 candidates to 96 candidates (32.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	142	1	143
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	143	4	147

Merged error: 0b

Counts

147 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

1.6b	(+ (* z z) (* y z))
1.8b	(- (pow y 3) (pow z 3))
4.4b	(/ (- t x) (+ (* y y) (+ (* z z) (* y z))))
35.6b	(* (- (pow y 3) (pow z 3)) (/ (- t x) (+ (* y y) (+ (* z z) (* y z)))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

91×	`add-sqr-sqrt`
58×	`*-un-lft-identity`
39×	`difference-of-squares`
31×	`times-frac`
25×	`associate-l`
24×	`add-cube-cbrt` `unpow-prod-down` `cube-prod`
21×	`associate-r`
17×	`distribute-lft-out--`
16×	`sqr-pow`
11×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
6×	`pow1`
5×	`associate-/l*`
4×	`flip3--` `associate-/r/` `flip--`
3×	`flip3-+` `associate-/r*` `flip-+`
2×	`difference-cubes` `cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `sub-neg` `distribute-rgt-out` `frac-2neg` `diff-log` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative`

Counts

4 → 152

Calls

4 calls:

4.0ms	(+ (* z z) (* y z))
13.0ms	(- (pow y 3) (pow z 3))
10.0ms	(/ (- t x) (+ (* y y) (+ (* z z) (* y z))))
28.0ms	(* (- (pow y 3) (pow z 3)) (/ (- t x) (+ (* y y) (+ (* z z) (* y z)))))

series74.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ (* z z) (* y z))
10.0ms	(- (pow y 3) (pow z 3))
33.0ms	(/ (- t x) (+ (* y y) (+ (* z z) (* y z))))
26.0ms	(* (- (pow y 3) (pow z 3)) (/ (- t x) (+ (* y y) (+ (* z z) (* y z)))))

simplify82.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	598	1721
1	2772	1571
2	5003	1561

prune1.2s

Filtered

164 candidates to 112 candidates (31.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	164	4	168

Merged error: 0b

Counts

168 → 4

regimes351.0ms

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	10	4
1	10	4

end0.0ms

sample835.0ms

Algorithm

intervals

Results

330.0ms

12352×

body

valid

Details

sample58.0ms

simplify83.0ms

prune4.0ms

localize6.0ms

rewrite13.0ms

series23.0ms

simplify38.0ms

prune156.0ms

localize8.0ms

rewrite216.0ms

series40.0ms

simplify60.0ms

prune480.0ms

localize16.0ms

rewrite60.0ms

series54.0ms

simplify86.0ms

prune1.0s

localize16.0ms

rewrite60.0ms

series74.0ms

simplify82.0ms

prune1.2s

regimes351.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample835.0ms

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