Details

analyze398.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	68.6%	31.4%	5
0%	65.5%	34.5%	6
0%	59.2%	40.8%	7
0%	51.4%	48.6%	8
0%	41.3%	58.7%	9
0%	28.4%	71.6%	10
2.3%	22.3%	75.4%	11
2.3%	21%	76.7%	12
2.7%	18%	79.3%	13
2.7%	16.4%	80.8%	14

sample45.0ms

Algorithm

intervals

Results

19.0ms	256×	body	80	valid
8.0ms	131×	body	80	nan
0.0ms	1×	body	80	invalid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5142	16

prune16.0ms

Filtered

1 candidates to 1 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: 0.3b

Counts

2 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.2b	(* (- a 0.5) (log t))
0.5b	(+ (log (+ x y)) (log z))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
19×	`log-prod`
18×	`add-sqr-sqrt`
15×	`pow1`
14×	`add-log-exp`
12×	`add-cube-cbrt`
9×	`associate-+r+` `log-pow` `distribute-lft-out`
6×	`add-exp-log` `distribute-rgt-in` `associate-+l+` `flip3--` `distribute-lft-in` `associate-*l/` `sum-log` `add-cbrt-cube` `flip--` `distribute-lft-out--`
5×	`associate-+l-` `associate-l`
4×	`log-div` `flip3-+` `diff-log` `associate-r` `frac-add` `flip-+`
2×	`+-commutative` `associate--l-` `sub-neg` `associate--l+` `difference-of-squares`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 100

Calls

4 calls:

7.0ms	(- (+ (log (+ x y)) (log z)) t)
12.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
6.0ms	(* (- a 0.5) (log t))
6.0ms	(+ (log (+ x y)) (log z))

series103.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- (+ (log (+ x y)) (log z)) t)
50.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
9.0ms	(* (- a 0.5) (log t))
14.0ms	(+ (log (+ x y)) (log z))

simplify36.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5246	1577

prune213.0ms

Filtered

82 candidates to 112 candidates (-36.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	101	11	112
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	103	11	114

Merged error: 0.0b

Counts

114 → 11

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- a 0.5) (* (log (cbrt t)) 2)) (* (- a 0.5) (log (cbrt t))))
0.5b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

19×	`log-prod`
18×	`*-un-lft-identity`
15×	`associate-+r+`
12×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt`
8×	`pow1` `associate-*l/`
6×	`distribute-rgt-in` `distribute-lft-in` `distribute-lft-out` `add-log-exp`
4×	`add-exp-log` `associate-+l+` `flip3--` `frac-add` `log-pow` `add-cbrt-cube` `flip--`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `associate-+l-` `log-div` `pow1/3` `sum-log`

Counts

4 → 74

Calls

4 calls:

12.0ms	(+ (* (- a 0.5) (* (log (cbrt t)) 2)) (* (- a 0.5) (log (cbrt t))))
8.0ms	(+ (log (+ x y)) (log z))
2.0ms	(cbrt t)
2.0ms	(cbrt t)

series92.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (* (- a 0.5) (* (log (cbrt t)) 2)) (* (- a 0.5) (log (cbrt t))))
14.0ms	(+ (log (+ x y)) (log z))
21.0ms	(cbrt t)
21.0ms	(cbrt t)

simplify55.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4922	798
1	4922	798

prune173.0ms

Filtered

64 candidates to 86 candidates (-34.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	83	3	86
Fresh	5	5	10
Picked	1	0	1
Done	0	0	0
Total	89	8	97

Merged error: 0b

Counts

97 → 8

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt (pow (cbrt t) 2))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
1×	`unpow2` `sqr-pow`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
3.0ms	(cbrt (pow (cbrt t) 2))

series99.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt t)
21.0ms	(cbrt t)
21.0ms	(cbrt t)
35.0ms	(cbrt (pow (cbrt t) 2))

simplify36.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5445	288

prune166.0ms

Filtered

47 candidates to 64 candidates (-36.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	64	8	72

Merged error: 0b

Counts

72 → 8

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ -1 t))
0.3b	(* (log (* (cbrt (/ 1 (/ -1 t))) (cbrt -1))) (- (* 3 a) 1.5))
0.5b	(+ (log (+ x y)) (log z))
0.6b	(cbrt (/ 1 (/ -1 t)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
91×	`*-un-lft-identity`
87×	`add-sqr-sqrt`
85×	`add-cube-cbrt`
44×	`cbrt-prod`
17×	`add-exp-log`
14×	`pow1`
13×	`associate-/r*`
11×	`add-cbrt-cube`
9×	`div-inv`
7×	`log-prod` `div-exp` `log-pow`
6×	`associate-l`
5×	`distribute-lft-out`
4×	`associate-+l+` `add-log-exp`
3×	`cbrt-undiv` `associate-+r+` `pow1/3` `associate-r` `pow-prod-down` `associate-/l*`
2×	`associate-+l-` `sub-neg` `log-div` `rec-exp` `flip3-+` `1-exp` `associate-*r/` `associate-/r/` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `cbrt-div` `flip3--` `pow-flip` `frac-2neg` `distribute-lft-in` `prod-exp` `clear-num` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 178

Calls

4 calls:

6.0ms	(/ 1 (/ -1 t))
17.0ms	(* (log (* (cbrt (/ 1 (/ -1 t))) (cbrt -1))) (- (* 3 a) 1.5))
7.0ms	(+ (log (+ x y)) (log z))
5.0ms	(cbrt (/ 1 (/ -1 t)))

series92.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(/ 1 (/ -1 t))
48.0ms	(* (log (* (cbrt (/ 1 (/ -1 t))) (cbrt -1))) (- (* 3 a) 1.5))
14.0ms	(+ (log (+ x y)) (log z))
27.0ms	(cbrt (/ 1 (/ -1 t)))

simplify66.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4995	1901
1	4995	1901

prune344.0ms

Filtered

120 candidates to 190 candidates (-58.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	190	0	190
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	190	8	198

Merged error: 0b

Counts

198 → 8

regimes1.1s

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 (1.0ms)

Iter	Nodes	Cost
0	117	35
1	117	35

end0.0ms

sample1.2s

Algorithm

intervals

Results

598.0ms	8000×	body	80	valid
275.0ms	4159×	body	80	nan
2.0ms	32×	body	80	invalid

Details

analyze398.0ms

sample45.0ms

simplify45.0ms

prune16.0ms

localize18.0ms

rewrite35.0ms

series103.0ms

simplify36.0ms

prune213.0ms

localize29.0ms

rewrite27.0ms

series92.0ms

simplify55.0ms

prune173.0ms

localize30.0ms

rewrite7.0ms

series99.0ms

simplify36.0ms

prune166.0ms

localize23.0ms

rewrite42.0ms

series92.0ms

simplify66.0ms

prune344.0ms

regimes1.1s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.2s

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