Details

analyze948.0ms

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

sample59.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify32.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	718	9
1	718	9

prune15.0ms

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

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) a)))
0.0b	(/ (- z t) a)
5.9b	(* y (/ (- z t) a))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 87

Calls

3 calls:

3.0ms	(+ x (* y (/ (- z t) a)))
5.0ms	(/ (- z t) a)
9.0ms	(* y (/ (- z t) a))

series35.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(+ x (* y (/ (- z t) a)))
9.0ms	(/ (- z t) a)
11.0ms	(* y (/ (- z t) a))

simplify50.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5871	889

prune134.0ms

Filtered

65 candidates to 96 candidates (-47.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	89	7	96
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	89	9	98

Merged error: 0.0b

Counts

98 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.9b	(* y (* (cbrt (- z t)) (/ (cbrt (- z t)) (* (cbrt a) (cbrt a)))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
15.0ms	(* y (* (cbrt (- z t)) (/ (cbrt (- z t)) (* (cbrt a) (cbrt a)))))

series128.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt (- z t))
27.0ms	(cbrt (- z t))
25.0ms	(cbrt (- z t))
51.0ms	(* y (* (cbrt (- z t)) (/ (cbrt (- z t)) (* (cbrt a) (cbrt a)))))

simplify51.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5048	903

prune125.0ms

Filtered

61 candidates to 84 candidates (-37.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	84	9	93

Merged error: 0.0b

Counts

93 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt a)
0.5b	(cbrt a)
0.5b	(cbrt a)
4.4b	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
40×	`times-frac`
38×	`*-un-lft-identity`
34×	`associate-r`
26×	`cbrt-prod` `add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
1.0ms	(cbrt a)
18.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series82.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt a)
21.0ms	(cbrt a)
21.0ms	(cbrt a)
20.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify64.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4938	1097
1	4938	1097

prune151.0ms

Filtered

77 candidates to 116 candidates (-50.6%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	115	10	125

Merged error: 0.0b

Counts

125 → 10

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.8b	(* (* (/ y (pow (cbrt a) 2)) (* (cbrt (- z t)) (/ (cbrt (- z t)) (cbrt (pow (cbrt a) 2))))) (/ (cbrt (- z t)) (cbrt (cbrt a))))
2.2b	(* (/ y (pow (cbrt a) 2)) (* (cbrt (- z t)) (/ (cbrt (- z t)) (cbrt (pow (cbrt a) 2)))))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

171×	`add-exp-log`
136×	`cbrt-prod`
105×	`times-frac`
92×	`add-sqr-sqrt` `*-un-lft-identity`
86×	`prod-exp`
77×	`associate-r`
70×	`add-cube-cbrt`
52×	`div-exp` `add-cbrt-cube`
44×	`cbrt-unprod`
38×	`frac-times` `associate-l`
28×	`cbrt-div`
26×	`associate-*l/`
22×	`cbrt-undiv` `associate-*r/`
18×	`pow1` `unpow-prod-down`
14×	`flip3--` `flip--`
11×	`distribute-lft-out--` `difference-of-squares`
9×	`pow-to-exp` `pow-prod-down` `pow-exp`
4×	`add-log-exp`
3×	`unpow2` `sqr-pow`
2×	`pow1/3` `*-commutative` `div-inv`

Counts

4 → 258

Calls

4 calls:

3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
44.0ms	(* (* (/ y (pow (cbrt a) 2)) (* (cbrt (- z t)) (/ (cbrt (- z t)) (cbrt (pow (cbrt a) 2))))) (/ (cbrt (- z t)) (cbrt (cbrt a))))
26.0ms	(* (/ y (pow (cbrt a) 2)) (* (cbrt (- z t)) (/ (cbrt (- z t)) (cbrt (pow (cbrt a) 2)))))

series147.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt (- z t))
27.0ms	(cbrt (- z t))
18.0ms	(* (* (/ y (pow (cbrt a) 2)) (* (cbrt (- z t)) (/ (cbrt (- z t)) (cbrt (pow (cbrt a) 2))))) (/ (cbrt (- z t)) (cbrt (cbrt a))))
77.0ms	(* (/ y (pow (cbrt a) 2)) (* (cbrt (- z t)) (/ (cbrt (- z t)) (cbrt (pow (cbrt a) 2)))))

simplify69.0ms

Algorithm

egg-herbie

Counts

270 → 270

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4986	6775
1	4986	6775

prune500.0ms

Filtered

202 candidates to 270 candidates (-33.7%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	268	2	270
Fresh	4	2	6
Picked	0	1	1
Done	0	3	3
Total	272	8	280

Merged error: 0.0b

Counts

280 → 8

regimes1.0s

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	27
1	29	27

end0.0ms

sample1.6s

Algorithm

intervals

Results

263.0ms

8000×

body

valid

Details

analyze948.0ms

sample59.0ms

simplify32.0ms

prune15.0ms

localize8.0ms

rewrite20.0ms

series35.0ms

simplify50.0ms

prune134.0ms

localize18.0ms

rewrite26.0ms

series128.0ms

simplify51.0ms

prune125.0ms

localize13.0ms

rewrite26.0ms

series82.0ms

simplify64.0ms

prune151.0ms

localize25.0ms

rewrite91.0ms

series147.0ms

simplify69.0ms

prune500.0ms

regimes1.0s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.6s

Profiling