Details

analyze980.0ms

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
1.8%	98%	0.2%	10
7.7%	92.1%	0.2%	11
10.4%	89.4%	0.2%	12
12.2%	87.6%	0.2%	13
21.8%	77.8%	0.4%	14

sample29.0ms

Algorithm

intervals

Results

7.0ms	202×	body	80	valid
3.0ms	23×	body	640	valid
2.0ms	15×	body	320	valid
1.0ms	8×	body	1280	valid
1.0ms	33×	body	80	invalid
1.0ms	7×	body	160	valid
0.0ms	1×	body	2560	valid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4892	13
1	4892	13

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: 12.7b

Counts

2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t x) (- a z))
3.0b	(+ x (* (- y z) (/ (- t x) (- a z))))
6.1b	(* (- y z) (/ (- t x) (- a z)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 119

Calls

3 calls:

8.0ms	(/ (- t x) (- a z))
4.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
17.0ms	(* (- y z) (/ (- t x) (- a z)))

series102.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(/ (- t x) (- a z))
51.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
38.0ms	(* (- y z) (/ (- t x) (- a z)))

simplify44.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5183	1602

prune167.0ms

Filtered

87 candidates to 128 candidates (-47.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	119	9	128
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	120	10	130

Merged error: 4.7b

Counts

130 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a z))
0.5b	(cbrt (- a z))
0.7b	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
7.6b	(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
59×	`*-un-lft-identity`
52×	`times-frac`
46×	`associate-r`
37×	`cbrt-prod`
27×	`add-cube-cbrt`
25×	`add-exp-log`
18×	`cbrt-div` `add-cbrt-cube`
17×	`associate-l`
16×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r/`
9×	`flip3--` `flip--`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `add-log-exp` `unswap-sqr`
5×	`frac-times`
3×	`associate-r/` `associate-l/`
2×	`pow1/3` `div-inv`
1×	`+-commutative` `flip3-+` `pow-prod-down` `sum-log` `*-commutative` `flip-+`

Counts

4 → 134

Calls

4 calls:

3.0ms	(cbrt (- a z))
3.0ms	(cbrt (- a z))
35.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
4.0ms	(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

series165.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt (- a z))
26.0ms	(cbrt (- a z))
58.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
54.0ms	(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

simplify39.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5314	2524

prune179.0ms

Filtered

108 candidates to 146 candidates (-35.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	144	2	146
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	144	12	156

Merged error: 4.7b

Counts

156 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- t x))
0.6b	(cbrt (- t x))
1.5b	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (* (cbrt (- t x)) (cbrt (- t x))))
9.6b	(+ x (* (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (* (cbrt (- t x)) (cbrt (- t x)))) (/ (cbrt (- t x)) (cbrt (- a z)))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

40×	`cbrt-div`
25×	`add-exp-log`
20×	`frac-times` `flip3--` `flip--`
17×	`associate-l`
16×	`add-sqr-sqrt`
15×	`add-cbrt-cube`
14×	`-un-lft-identity` `associate-r/`
11×	`prod-exp` `cbrt-unprod`
10×	`cbrt-prod`
9×	`pow1`
8×	`add-cube-cbrt` `associate-/r/`
7×	`associate-*l/`
6×	`times-frac` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow-prod-down` `distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `unswap-sqr`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `div-inv`

Counts

4 → 100

Calls

4 calls:

3.0ms	(cbrt (- t x))
3.0ms	(cbrt (- t x))
24.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (* (cbrt (- t x)) (cbrt (- t x))))
4.0ms	(+ x (* (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (* (cbrt (- t x)) (cbrt (- t x)))) (/ (cbrt (- t x)) (cbrt (- a z)))))

series294.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(cbrt (- t x))
27.0ms	(cbrt (- t x))
185.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (* (cbrt (- t x)) (cbrt (- t x))))
54.0ms	(+ x (* (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (* (cbrt (- t x)) (cbrt (- t x)))) (/ (cbrt (- t x)) (cbrt (- a z)))))

simplify35.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5715	2215

prune171.0ms

Filtered

82 candidates to 112 candidates (-36.6%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	111	13	124

Merged error: 4.7b

Counts

124 → 13

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- t x))
0.6b	(cbrt (- t x))
0.6b	(cbrt (- t x))
9.6b	(+ x (* (* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 56

Calls

4 calls:

3.0ms	(cbrt (- t x))
3.0ms	(cbrt (- t x))
3.0ms	(cbrt (- t x))
5.0ms	(+ x (* (* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

series140.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(cbrt (- t x))
27.0ms	(cbrt (- t x))
27.0ms	(cbrt (- t x))
57.0ms	(+ x (* (* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

simplify49.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4983	674
1	4983	674

prune71.0ms

Filtered

53 candidates to 68 candidates (-28.3%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	68	13	81

Merged error: 4.7b

Counts

81 → 13

regimes736.0ms

Accuracy

34.3% (5.4b remaining)

Error of 9.2b against oracle of 3.7b and baseline of 12.0b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	78	102
1	78	102

end0.0ms

sample760.0ms

Algorithm

intervals

Results

252.0ms	6571×	body	80	valid
69.0ms	499×	body	640	valid
55.0ms	1218×	body	80	invalid
48.0ms	391×	body	320	valid
46.0ms	251×	body	1280	valid
19.0ms	274×	body	160	valid
3.0ms	14×	body	2560	valid

Details

analyze980.0ms

sample29.0ms

simplify50.0ms

prune16.0ms

localize9.0ms

rewrite33.0ms

series102.0ms

simplify44.0ms

prune167.0ms

localize13.0ms

rewrite53.0ms

series165.0ms

simplify39.0ms

prune179.0ms

localize17.0ms

rewrite39.0ms

series294.0ms

simplify35.0ms

prune171.0ms

localize17.0ms

rewrite16.0ms

series140.0ms

simplify49.0ms

prune71.0ms

regimes736.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample760.0ms

Profiling