Details

sample245.0ms

Algorithm

intervals

Results

94.0ms	1269×	body	80	nan
30.0ms	391×	body	80	valid
5.0ms	18×	body	320	valid
4.0ms	9×	body	640	valid
2.0ms	10×	body	160	valid
2.0ms	2×	body	1280	valid

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	10
1	58	10
2	129	10
3	318	10
4	1073	10
5	5001	10

prune5.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 1.7b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.1b	(* y (- (log z) t))
0.3b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
7.1b	(log (- 1.0 z))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

30×	`log-prod`
26×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`associate--l+`
17×	`distribute-rgt-in` `distribute-lft-in`
14×	`add-cube-cbrt` `associate-+r+`
10×	`associate-+l+` `associate-*r/`
9×	`pow1`
7×	`add-exp-log` `sub-neg` `flip3--` `flip--` `distribute-lft-out--` `add-log-exp`
6×	`associate-r` `add-cbrt-cube`
5×	`difference-of-squares`
4×	`frac-add`
3×	`associate-l` `log-pow`
2×	`log-div`
1×	`+-commutative` `flip3-+` `diff-log` `rem-log-exp` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

4.0ms	(- (log z) t)
7.0ms	(* y (- (log z) t))
11.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))

series70.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (log z) t)
14.0ms	(* y (- (log z) t))
43.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
4.0ms	(log (- 1.0 z))

simplify61.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	615	897
1	2222	843
2	5001	813

prune173.0ms

Filtered

118 candidates to 83 candidates (29.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	117	2	119

Merged error: 0.0b

Counts

119 → 2

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
0.0b	(- (log z) t)
0.1b	(* y (- (log z) t))
0.3b	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

31×	`associate--l+`
23×	`add-sqr-sqrt`
21×	`log-prod` `*-un-lft-identity`
17×	`distribute-rgt-in` `distribute-lft-in`
15×	`add-cube-cbrt`
14×	`associate-+r+`
10×	`pow1` `associate-+l+` `associate-r/` `associate-r*`
9×	`sub-neg`
8×	`add-cbrt-cube`
7×	`add-exp-log` `add-log-exp`
6×	`flip3--` `associate-l` `flip--`
4×	`frac-add` `distribute-lft-out--`
2×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `flip3-+` `diff-log` `exp-sum` `sum-log` `flip-+`

Counts

4 → 109

Calls

4 calls:

20.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
4.0ms	(- (log z) t)
7.0ms	(* y (- (log z) t))
20.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series174.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
9.0ms	(- (log z) t)
14.0ms	(* y (- (log z) t))
59.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify74.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	629	1530
1	2527	1406
2	5003	1379

prune272.0ms

Filtered

121 candidates to 83 candidates (31.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	118	3	121
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	119	4	123

Merged error: 0.0b

Counts

123 → 4

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (- (log z) t))
0.1b	(* y (- (log z) t))
0.3b	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
0.3b	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

56×	`associate--l+`
36×	`log-prod`
34×	`distribute-rgt-in` `distribute-lft-in`
28×	`add-sqr-sqrt` `associate-+r+`
26×	`*-un-lft-identity`
20×	`add-cube-cbrt` `associate-+l+` `associate-*r/`
16×	`sub-neg`
12×	`associate-r`
10×	`pow1` `flip3--` `flip--`
8×	`add-exp-log` `frac-add` `add-cbrt-cube` `add-log-exp`
6×	`associate-l`
4×	`distribute-lft-out--`
2×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `difference-of-squares` `unswap-sqr`

Counts

4 → 144

Calls

4 calls:

7.0ms	(* y (- (log z) t))
7.0ms	(* y (- (log z) t))
21.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
20.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series140.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* y (- (log z) t))
14.0ms	(* y (- (log z) t))
57.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
55.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify69.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	507	2032
1	1982	1926
2	5001	1898

prune630.0ms

Filtered

156 candidates to 108 candidates (30.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	156	4	160

Merged error: 0.0b

Counts

160 → 4

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* a b) (+ (* 1.0 (* a z)) (* 0.5 (* a (pow z 2)))))
0.0b	(/ x (exp (+ (* a b) (+ (* 1.0 (* a z)) (* 0.5 (* a (pow z 2)))))))
0.1b	(* y (- (log z) t))
6.6b	(* a (pow z 2))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
20×	`add-cube-cbrt`
14×	`associate-r`
12×	`add-exp-log` `times-frac`
10×	`add-cbrt-cube`
9×	`add-log-exp`
7×	`pow1`
6×	`log-prod` `associate-l` `associate--l+`
5×	`distribute-rgt-in` `distribute-lft-in` `unswap-sqr`
4×	`unpow-prod-down` `exp-sum` `prod-exp` `associate-/r*`
3×	`sum-log` `associate-/l*`
2×	`sub-neg` `associate-r/` `-commutative` `cbrt-unprod` `distribute-lft-out--` `unpow2` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `associate-+r+` `flip3--` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `pow-exp` `clear-num` `log-pow` `flip--` `flip-+` `div-inv` `difference-of-squares`

Counts

4 → 104

Calls

4 calls:

7.0ms	(+ (* a b) (+ (* 1.0 (* a z)) (* 0.5 (* a (pow z 2)))))
10.0ms	(/ x (exp (+ (* a b) (+ (* 1.0 (* a z)) (* 0.5 (* a (pow z 2)))))))
7.0ms	(* y (- (log z) t))
5.0ms	(* a (pow z 2))

series88.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(+ (* a b) (+ (* 1.0 (* a z)) (* 0.5 (* a (pow z 2)))))
50.0ms	(/ x (exp (+ (* a b) (+ (* 1.0 (* a z)) (* 0.5 (* a (pow z 2)))))))
16.0ms	(* y (- (log z) t))
7.0ms	(* a (pow z 2))

simplify63.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	480	998
1	2085	899
2	5003	893

prune191.0ms

Filtered

116 candidates to 78 candidates (32.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	114	2	116
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	115	5	120

Merged error: 0b

Counts

120 → 5

regimes519.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	16
1	32	16

end0.0ms

sample7.7s

Algorithm

intervals

Results

3.0s	41770×	body	80	nan
997.0ms	12604×	body	80	valid
168.0ms	398×	body	640	valid
113.0ms	427×	body	320	valid
53.0ms	66×	body	1280	valid
49.0ms	293×	body	160	valid

Details

sample245.0ms

simplify38.0ms

prune5.0ms

localize15.0ms

rewrite30.0ms

series70.0ms

simplify61.0ms

prune173.0ms

localize24.0ms

rewrite54.0ms

series174.0ms

simplify74.0ms

prune272.0ms

localize28.0ms

rewrite67.0ms

series140.0ms

simplify69.0ms

prune630.0ms

localize23.0ms

rewrite32.0ms

series88.0ms

simplify63.0ms

prune191.0ms

regimes519.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample7.7s

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