Details

analyze1.0s

Algorithm: search

sample26.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
1.0ms	18×	body	80	invalid

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	6
1	58	6
2	107	6
3	188	6
4	364	6
5	722	6
6	1067	6
7	1452	6
8	1963	6
9	2143	6
10	2145	6
11	2145	6

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: 0.7b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) a)
0.0b	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
9.2b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

239×	`*-un-lft-identity`
203×	`times-frac`
136×	`add-sqr-sqrt`
87×	`add-cube-cbrt`
44×	`distribute-lft-out`
43×	`distribute-lft-out--`
23×	`difference-of-squares`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`associate-+l-` `sub-neg` `flip3-+` `diff-log` `associate-/r/` `flip-+` `associate--r-`

Counts

3 → 192

Calls

3 calls:

20.0ms	(/ (+ (- t z) 1.0) a)
34.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
13.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series81.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/ (+ (- t z) 1.0) a)
33.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
41.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify71.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	707	1950
1	2629	1888
2	5001	1887

prune205.0ms

Filtered

119 candidates to 201 candidates (-68.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	199	2	201
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	199	3	202

Merged error: 0.0b

Counts

202 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
0.0b	(/ (- y z) (+ (- t z) 1.0))
1.8b	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

1079×	`times-frac`
929×	`*-un-lft-identity`
570×	`add-sqr-sqrt`
393×	`add-cube-cbrt`
153×	`distribute-lft-out--`
152×	`distribute-lft-out`
83×	`difference-of-squares`
48×	`div-inv`
36×	`associate-/l*`
31×	`associate-/r/`
27×	`add-exp-log`
18×	`associate-/r*`
17×	`div-exp` `add-cbrt-cube`
15×	`flip3-+` `flip-+`
9×	`cbrt-undiv`
5×	`div-sub` `add-log-exp`
3×	`pow1` `associate-/l/`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--`
1×	`sub-neg` `diff-log` `associate--r-`

Counts

3 → 545

Calls

3 calls:

99.0ms	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
10.0ms	(/ (- y z) (+ (- t z) 1.0))
26.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

series80.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
12.0ms	(/ (- y z) (+ (- t z) 1.0))
37.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

simplify118.0ms

Algorithm

egg-herbie

Counts

554 → 554

Iterations

Useful iterations: 1 (41.0ms)

Iter	Nodes	Cost
0	1925	7704
1	5002	7175

prune495.0ms

Filtered

226 candidates to 554 candidates (-145.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	554	0	554
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	554	3	557

Merged error: 0.0b

Counts

557 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
8.5b	(* (- y z) (/ a (+ (- t z) 1.0)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
21×	`associate-r`
19×	`add-sqr-sqrt`
16×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-exp-log` `add-cbrt-cube`
6×	`distribute-lft-out`
5×	`associate-l`
4×	`pow1` `distribute-lft-out--` `add-log-exp`
3×	`flip3--` `flip--`
2×	`frac-times` `associate-*l/` `prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3-+` `diff-log` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `flip-+` `div-inv` `difference-of-squares`

Counts

2 → 58

Calls

2 calls:

3.0ms	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
15.0ms	(* (- y z) (/ a (+ (- t z) 1.0)))

series52.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
19.0ms	(* (- y z) (/ a (+ (- t z) 1.0)))

simplify44.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	375	463
1	1592	423
2	5001	423

prune72.0ms

Filtered

45 candidates to 64 candidates (-42.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	63	4	67

Merged error: 0b

Counts

67 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ y z) (+ (- t z) 1.0))
3.6b	(- (* y y) (* z z))
9.9b	(* (- (* y y) (* z z)) a)
33.2b	(/ (* (- (* y y) (* z z)) a) (* (+ y z) (+ (- t z) 1.0)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

11.0ms	(* (+ y z) (+ (- t z) 1.0))
4.0ms	(- (* y y) (* z z))
7.0ms	(* (- (* y y) (* z z)) a)
17.0ms	(/ (* (- (* y y) (* z z)) a) (* (+ y z) (+ (- t z) 1.0)))

series74.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (+ y z) (+ (- t z) 1.0))
6.0ms	(- (* y y) (* z z))
11.0ms	(* (- (* y y) (* z z)) a)
48.0ms	(/ (* (- (* y y) (* z z)) a) (* (+ y z) (+ (- t z) 1.0)))

simplify98.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	601	886
1	3606	714
2	5001	714

prune108.0ms

Filtered

80 candidates to 108 candidates (-35.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	108	4	112

Merged error: 0b

Counts

112 → 4

regimes465.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

analyze1.1s

Algorithm: search

sample630.0ms

Algorithm

intervals

Results

350.0ms	8000×	body	80	valid
19.0ms	479×	body	80	invalid

Details

analyze1.0s

sample26.0ms

simplify71.0ms

prune4.0ms

localize9.0ms

rewrite96.0ms

series81.0ms

simplify71.0ms

prune205.0ms

localize10.0ms

rewrite179.0ms

series80.0ms

simplify118.0ms

prune495.0ms

localize9.0ms

rewrite20.0ms

series52.0ms

simplify44.0ms

prune72.0ms

localize14.0ms

rewrite41.0ms

series74.0ms

simplify98.0ms

prune108.0ms

regimes465.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze1.1s

sample630.0ms

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