Details

analyze555.0ms

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
7%	92.8%	0.2%	8
19.1%	80.7%	0.2%	9
29.8%	70%	0.2%	10
31.3%	68.5%	0.2%	11
42.3%	57.2%	0.6%	12
53.3%	45.5%	1.2%	13
59.2%	39.3%	1.5%	14

sample18.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	22×	body	80	invalid

simplify188.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (187.0ms)

Iter	Nodes	Cost
0	5487	9

prune10.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- t z))
2.3b	(* x (/ (- y z) (- t z)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 102

Calls

2 calls:

7.0ms	(/ (- y z) (- t z))
16.0ms	(* x (/ (- y z) (- t z)))

series25.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(/ (- y z) (- t z))
16.0ms	(* x (/ (- y z) (- t z)))

simplify45.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5024	1163

prune106.0ms

Filtered

70 candidates to 108 candidates (-54.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	102	6	108
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	102	8	110

Merged error: 0.0b

Counts

110 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
1.2b	(* (/ (- y z) (- t z)) (cbrt x))
1.3b	(* (* (cbrt x) (cbrt x)) (* (/ (- y z) (- t z)) (cbrt x)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
32×	`associate-l`
30×	`add-exp-log`
27×	`times-frac`
19×	`add-cube-cbrt`
18×	`pow1` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
11×	`cbrt-prod`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`pow-prod-down`
7×	`associate-r`
4×	`add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp`
2×	`pow1/3` `associate-l/` `associate-/r/` `-commutative`
1×	`flip3--` `associate-*r/` `flip--` `div-inv`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
15.0ms	(* (/ (- y z) (- t z)) (cbrt x))
15.0ms	(* (* (cbrt x) (cbrt x)) (* (/ (- y z) (- t z)) (cbrt x)))

series99.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt x)
23.0ms	(cbrt x)
36.0ms	(* (/ (- y z) (- t z)) (cbrt x))
19.0ms	(* (* (cbrt x) (cbrt x)) (* (/ (- y z) (- t z)) (cbrt x)))

simplify47.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5430	1040

prune120.0ms

Filtered

73 candidates to 116 candidates (-58.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	116	8	124

Merged error: 0.0b

Counts

124 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- t z))
0.5b	(cbrt (- t z))
0.5b	(cbrt (- t z))
6.0b	(* (/ x (* (cbrt (- t z)) (cbrt (- t z)))) (/ (- y z) (cbrt (- t z))))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
50×	`times-frac`
46×	`associate-r`
42×	`cbrt-prod`
28×	`add-cube-cbrt`
25×	`add-exp-log`
20×	`cbrt-div`
18×	`add-cbrt-cube`
16×	`distribute-lft-out--` `difference-of-squares`
15×	`associate-l`
10×	`flip3--` `associate-/r/` `flip--`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `unswap-sqr`
5×	`frac-times`
4×	`add-log-exp`
3×	`pow1/3` `associate-r/` `associate-l/`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 136

Calls

4 calls:

5.0ms	(cbrt (- t z))
5.0ms	(cbrt (- t z))
5.0ms	(cbrt (- t z))
54.0ms	(* (/ x (* (cbrt (- t z)) (cbrt (- t z)))) (/ (- y z) (cbrt (- t z))))

series102.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt (- t z))
25.0ms	(cbrt (- t z))
25.0ms	(cbrt (- t z))
25.0ms	(* (/ x (* (cbrt (- t z)) (cbrt (- t z)))) (/ (- y z) (cbrt (- t z))))

simplify58.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4949	2200
1	4949	2200

prune137.0ms

Filtered

111 candidates to 148 candidates (-33.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	148	8	156

Merged error: 0.0b

Counts

156 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
7.6b	(* (* x (* (cbrt (- y z)) (cbrt (- y z)))) (/ (cbrt (- y z)) (- t z)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt` `*-un-lft-identity`
46×	`associate-r`
40×	`cbrt-prod` `times-frac`
30×	`cbrt-div`
26×	`add-cube-cbrt`
25×	`add-exp-log`
21×	`associate-*r/`
18×	`add-cbrt-cube`
16×	`frac-times` `flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
13×	`pow1`
12×	`associate-*l/` `prod-exp` `cbrt-unprod`
6×	`pow-prod-down`
4×	`add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
2×	`associate-/r/`
1×	`associate-l` `*-commutative` `div-inv`

Counts

4 → 132

Calls

4 calls:

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

series94.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt (- y z))
25.0ms	(cbrt (- y z))
28.0ms	(cbrt (- y z))
16.0ms	(* (* x (* (cbrt (- y z)) (cbrt (- y z)))) (/ (cbrt (- y z)) (- t z)))

simplify50.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4952	2143
1	4952	2143

prune115.0ms

Filtered

97 candidates to 144 candidates (-48.5%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	144	8	152

Merged error: 0.0b

Counts

152 → 8

regimes379.0ms

Accuracy

45.2% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	43
1	33	43

end0.0ms

sample468.0ms

Algorithm

intervals

Results

239.0ms	8000×	body	80	valid
17.0ms	614×	body	80	invalid

Details

analyze555.0ms

sample18.0ms

simplify188.0ms

prune10.0ms

localize6.0ms

rewrite28.0ms

series25.0ms

simplify45.0ms

prune106.0ms

localize10.0ms

rewrite36.0ms

series99.0ms

simplify47.0ms

prune120.0ms

localize18.0ms

rewrite81.0ms

series102.0ms

simplify58.0ms

prune137.0ms

localize13.0ms

rewrite39.0ms

series94.0ms

simplify50.0ms

prune115.0ms

regimes379.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample468.0ms

Profiling