Details

analyze1.1s

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

sample30.0ms

Algorithm

intervals

Results

8.0ms	206×	body	80	valid
3.0ms	19×	body	640	valid
2.0ms	10×	body	1280	valid
1.0ms	39×	body	80	invalid
1.0ms	10×	body	320	valid
1.0ms	11×	body	160	valid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4892	13
1	4892	13

prune17.0ms

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: 11.4b

Counts

2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

3.6b	(+ x (* (- y z) (/ (- t x) (- a z))))
5.4b	(* (- y z) (/ (- t x) (- a z)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`associate-r`
26×	`times-frac`
14×	`add-cube-cbrt`
11×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `add-log-exp`
3×	`flip3--` `flip--`
2×	`frac-times` `associate-*l/` `prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 67

Calls

2 calls:

3.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
16.0ms	(* (- y z) (/ (- t x) (- a z)))

series95.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
38.0ms	(* (- y z) (/ (- t x) (- a z)))

simplify37.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5279	949

prune125.0ms

Filtered

50 candidates to 73 candidates (-46.0%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	62	11	73
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	62	13	75

Merged error: 4.8b

Counts

75 → 13

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
1.1b	(* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z)))))
9.0b	(+ x (* (* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`add-sqr-sqrt` `add-cbrt-cube`
13×	`*-un-lft-identity`
10×	`cbrt-prod`
9×	`pow1` `frac-times` `prod-exp` `cbrt-unprod`
7×	`add-cube-cbrt`
6×	`flip3--` `associate-*r/` `flip--` `add-log-exp`
5×	`associate-l` `associate-*l/`
4×	`cbrt-undiv` `cbrt-div` `div-exp`
3×	`pow-prod-down` `distribute-lft-out--` `difference-of-squares`
2×	`pow1/3`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

3.0ms	(cbrt (- a z))
3.0ms	(cbrt (- a z))
26.0ms	(* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z)))))
4.0ms	(+ x (* (* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

series223.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt (- a z))
25.0ms	(cbrt (- a z))
118.0ms	(* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z)))))
52.0ms	(+ x (* (* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

simplify30.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5032	1489

prune148.0ms

Filtered

64 candidates to 91 candidates (-42.2%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	89	2	91
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	89	15	104

Merged error: 4.8b

Counts

104 → 15

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
1.1b	(* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z)))))
9.5b	(+ x (* (* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z))))) (/ (cbrt (- t x)) (* (cbrt (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (cbrt (- a z)))))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`add-sqr-sqrt` `add-cbrt-cube`
13×	`*-un-lft-identity`
10×	`cbrt-prod`
9×	`pow1` `frac-times` `prod-exp` `cbrt-unprod`
7×	`add-cube-cbrt`
6×	`flip3--` `associate-*r/` `flip--` `add-log-exp`
5×	`associate-l` `associate-*l/`
4×	`cbrt-undiv` `cbrt-div` `div-exp`
3×	`pow-prod-down` `distribute-lft-out--` `difference-of-squares`
2×	`pow1/3`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

3.0ms	(cbrt (- a z))
3.0ms	(cbrt (- a z))
27.0ms	(* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z)))))
5.0ms	(+ x (* (* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z))))) (/ (cbrt (- t x)) (* (cbrt (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (cbrt (- a z)))))))

series222.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt (- a z))
25.0ms	(cbrt (- a z))
117.0ms	(* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z)))))
53.0ms	(+ x (* (* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z))))) (/ (cbrt (- t x)) (* (cbrt (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (cbrt (- a z)))))))

simplify33.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5676	1831

prune158.0ms

Filtered

65 candidates to 91 candidates (-40.0%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	0	12	12
Picked	1	0	1
Done	0	2	2
Total	91	15	106

Merged error: 4.8b

Counts

106 → 15

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
9.2b	(+ x (* (* (* (- y z) (/ (cbrt (- t x)) (cbrt (- a z)))) (/ (cbrt (- t x)) (cbrt (- a z)))) (/ (cbrt (- t x)) (* (cbrt (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (cbrt (- a z)))))))

rewrite15.0ms

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

series129.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt (- a z))
25.0ms	(cbrt (- a z))
25.0ms	(cbrt (- a z))
52.0ms	(+ x (* (* (* (- y z) (/ (cbrt (- t x)) (cbrt (- a z)))) (/ (cbrt (- t x)) (cbrt (- a z)))) (/ (cbrt (- t x)) (* (cbrt (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (cbrt (- a z)))))))

simplify39.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4983	1149
1	4983	1149

prune87.0ms

Filtered

56 candidates to 68 candidates (-21.4%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	1	11	12
Picked	0	1	1
Done	0	2	2
Total	68	15	83

Merged error: 4.8b

Counts

83 → 15

regimes764.0ms

Accuracy

39.1% (5.3b remaining)

Error of 8.7b against oracle of 3.4b and baseline of 12.1b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	85	125
1	85	125

end0.0ms

sample852.0ms

Algorithm

intervals

Results

276.0ms	6521×	body	80	valid
75.0ms	514×	body	640	valid
57.0ms	1269×	body	80	invalid
48.0ms	262×	body	1280	valid
46.0ms	408×	body	320	valid
24.0ms	279×	body	160	valid
4.0ms	16×	body	2560	valid

Details

analyze1.1s

sample30.0ms

simplify50.0ms

prune17.0ms

localize9.0ms

rewrite22.0ms

series95.0ms

simplify37.0ms

prune125.0ms

localize17.0ms

rewrite38.0ms

series223.0ms

simplify30.0ms

prune148.0ms

localize27.0ms

rewrite40.0ms

series222.0ms

simplify33.0ms

prune158.0ms

localize23.0ms

rewrite15.0ms

series129.0ms

simplify39.0ms

prune87.0ms

regimes764.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample852.0ms

Profiling