Details

analyze909.0ms

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%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
13.2%	86.5%	0.2%	11
16.8%	83%	0.2%	12
22.7%	77.1%	0.2%	13
24.1%	74.7%	1.3%	14

sample32.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
3.0ms	81×	body	80	invalid

simplify32.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	718	9
1	718	9

prune13.0ms

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: 0.1b

Counts

2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
6.9b	(/ (* y (- z t)) a)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

5.0ms	(+ x (/ (* y (- z t)) a))
6.0ms	(* y (- z t))
7.0ms	(/ (* y (- z t)) a)

series36.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ x (/ (* y (- z t)) a))
10.0ms	(* y (- z t))
12.0ms	(/ (* y (- z t)) a)

simplify35.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5072	574

prune78.0ms

Filtered

46 candidates to 68 candidates (-47.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	64	4	68
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	64	6	70

Merged error: 0.0b

Counts

70 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt a)
0.5b	(cbrt a)
0.6b	(* (cbrt a) (cbrt a))
5.0b	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

69×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
40×	`times-frac` `associate-r`
39×	`cbrt-prod`
33×	`add-cube-cbrt`
27×	`add-exp-log`
18×	`add-cbrt-cube`
13×	`pow1` `associate-l`
10×	`unswap-sqr`
9×	`prod-exp` `cbrt-unprod`
8×	`pow1/3`
7×	`cbrt-undiv` `div-exp`
6×	`swap-sqr` `distribute-lft-out--` `difference-of-squares`
4×	`add-log-exp`
3×	`pow-prod-down`
2×	`pow-sqr` `*-commutative` `pow-prod-up` `div-inv`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/`

Counts

4 → 133

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
6.0ms	(* (cbrt a) (cbrt a))
23.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series91.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt a)
22.0ms	(cbrt a)
25.0ms	(* (cbrt a) (cbrt a))
18.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify85.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5001	1181

prune140.0ms

Filtered

92 candidates to 145 candidates (-57.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	144	1	145
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	144	7	151

Merged error: 0.0b

Counts

151 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt a))
0.6b	(cbrt (cbrt a))
1.1b	(pow (cbrt (cbrt a)) 5)
7.0b	(* (/ y (* (cbrt a) (pow (cbrt (cbrt a)) 5))) (/ (- z t) (cbrt (cbrt a))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

75×	`cbrt-prod`
68×	`add-sqr-sqrt`
57×	`*-un-lft-identity`
51×	`times-frac`
49×	`associate-r`
42×	`add-exp-log`
39×	`add-cube-cbrt`
20×	`add-cbrt-cube`
16×	`prod-exp`
13×	`div-exp`
9×	`unpow-prod-down` `distribute-lft-out--` `difference-of-squares`
8×	`cbrt-unprod`
7×	`pow1` `cbrt-undiv` `associate-l`
4×	`add-log-exp` `unswap-sqr`
3×	`pow-to-exp` `pow-unpow` `pow1/3` `pow-exp`
2×	`pow-pow` `div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `sqr-pow`

Counts

4 → 140

Calls

4 calls:

2.0ms	(cbrt (cbrt a))
1.0ms	(cbrt (cbrt a))
4.0ms	(pow (cbrt (cbrt a)) 5)
24.0ms	(* (/ y (* (cbrt a) (pow (cbrt (cbrt a)) 5))) (/ (- z t) (cbrt (cbrt a))))

series130.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(cbrt (cbrt a))
30.0ms	(cbrt (cbrt a))
50.0ms	(pow (cbrt (cbrt a)) 5)
18.0ms	(* (/ y (* (cbrt a) (pow (cbrt (cbrt a)) 5))) (/ (- z t) (cbrt (cbrt a))))

simplify61.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5012	1991

prune194.0ms

Filtered

113 candidates to 152 candidates (-34.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	151	1	152
Fresh	0	4	4
Picked	1	0	1
Done	0	2	2
Total	152	7	159

Merged error: 0.0b

Counts

159 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.8b	(* (/ (* (cbrt y) (cbrt y)) (cbrt a)) (* (/ (- z t) (cbrt (cbrt a))) (/ (cbrt y) (pow (cbrt (cbrt a)) 5))))
1.1b	(pow (cbrt (cbrt a)) 5)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

134×	`add-exp-log`
60×	`prod-exp`
48×	`div-exp`
41×	`add-cbrt-cube`
32×	`cbrt-unprod`
22×	`cbrt-undiv`
18×	`cbrt-prod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `associate-l`
9×	`unpow-prod-down`
7×	`pow-to-exp` `pow-exp`
6×	`times-frac`
5×	`frac-times` `associate-*r/`
4×	`add-log-exp`
3×	`pow-unpow` `pow1/3` `pow-prod-down` `associate-*l/`
2×	`pow-pow`
1×	`associate-r` `*-commutative` `div-inv` `sqr-pow`

Counts

4 → 116

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
25.0ms	(* (/ (* (cbrt y) (cbrt y)) (cbrt a)) (* (/ (- z t) (cbrt (cbrt a))) (/ (cbrt y) (pow (cbrt (cbrt a)) 5))))
4.0ms	(pow (cbrt (cbrt a)) 5)

series105.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
21.0ms	(cbrt y)
13.0ms	(* (/ (* (cbrt y) (cbrt y)) (cbrt a)) (* (/ (- z t) (cbrt (cbrt a))) (/ (cbrt y) (pow (cbrt (cbrt a)) 5))))
49.0ms	(pow (cbrt (cbrt a)) 5)

simplify62.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5025	1701

prune114.0ms

Filtered

70 candidates to 128 candidates (-82.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	128	7	135

Merged error: 0.0b

Counts

135 → 7

regimes774.0ms

Accuracy

0% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	27
1	31	27

end0.0ms

sample705.0ms

Algorithm

intervals

Results

284.0ms	8000×	body	80	valid
84.0ms	2549×	body	80	invalid

Details

analyze909.0ms

sample32.0ms

simplify32.0ms

prune13.0ms

localize7.0ms

rewrite19.0ms

series36.0ms

simplify35.0ms

prune78.0ms

localize11.0ms

rewrite36.0ms

series91.0ms

simplify85.0ms

prune140.0ms

localize17.0ms

rewrite37.0ms

series130.0ms

simplify61.0ms

prune194.0ms

localize23.0ms

rewrite36.0ms

series105.0ms

simplify62.0ms

prune114.0ms

regimes774.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample705.0ms

Profiling