Details

sample250.0ms

Algorithm

intervals

Results

97.0ms	1314×	body	80	nan
31.0ms	396×	body	80	valid
6.0ms	14×	body	640	valid
3.0ms	11×	body	320	valid
2.0ms	11×	body	160	valid
2.0ms	2×	body	1280	valid

simplify32.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5013	17

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: 2.1b

Counts

2 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
0.1b	(* y (- (log z) t))
0.3b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
4.8b	(log (- 1.0 z))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

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

series123.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
13.0ms	(* y (- (log z) t))
42.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))

simplify34.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5866	1773

prune191.0ms

Filtered

91 candidates to 119 candidates (-30.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	117	2	119
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	119	2	121

Merged error: 0.0b

Counts

121 → 2

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

12.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1.0 z) (* 1/2 (* (/ z 1.0) (/ z 1.0))))) b))))
14.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1.0 z) (* 1/2 (* (/ z 1.0) (/ z 1.0))))) b)))))
7.0ms	(* y (- (log z) t))
14.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1.0 z) (* 1/2 (* (/ z 1.0) (/ z 1.0))))) b)))

series212.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1.0 z) (* 1/2 (* (/ z 1.0) (/ z 1.0))))) b))))
87.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1.0 z) (* 1/2 (* (/ z 1.0) (/ z 1.0))))) b)))))
14.0ms	(* y (- (log z) t))
54.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1.0 z) (* 1/2 (* (/ z 1.0) (/ z 1.0))))) b)))

simplify48.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5052	2794

prune245.0ms

Filtered

87 candidates to 116 candidates (-33.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	114	2	116
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	115	3	118

Merged error: 0.0b

Counts

118 → 3

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
13×	`associate-r`
11×	`pow1`
10×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `associate-l` `add-cbrt-cube` `distribute-lft-out`
5×	`add-exp-log` `log-pow`
4×	`distribute-lft-out--`
2×	`associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `exp-sum` `flip-+`

Counts

2 → 47

Calls

2 calls:

8.0ms	(* x (exp (+ (* a (log 1.0)) (* y (+ (log z) (- (log 1) t))))))
9.0ms	(* y (+ (log z) (- (log 1) t)))

series70.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(* x (exp (+ (* a (log 1.0)) (* y (+ (log z) (- (log 1) t))))))
21.0ms	(* y (+ (log z) (- (log 1) t)))

simplify80.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4944	499
1	4944	499

prune87.0ms

Filtered

39 candidates to 53 candidates (-35.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	53	3	56

Merged error: 0.0b

Counts

56 → 3

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1.0 z) (* 1/2 (* (/ z 1.0) (/ z 1.0))))) b))))
0.1b	(* y (- (log z) t))
0.3b	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1.0 z) (* 1/2 (* (/ z 1.0) (/ z 1.0))))) b)))
2.3b	(pow (exp a) (+ (log 1.0) (- (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* z 1.0)) b)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

28×	`associate--l+`
27×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`log-prod`
17×	`distribute-rgt-in` `distribute-lft-in`
16×	`add-cube-cbrt`
14×	`associate-+r+`
10×	`pow1` `associate-+l+` `associate-*r/`
9×	`add-log-exp`
8×	`sub-neg`
7×	`pow-unpow`
6×	`add-exp-log` `exp-prod` `associate-r` `add-cbrt-cube`
5×	`flip3--` `flip--`
4×	`pow-pow` `frac-add` `distribute-lft-out` `distribute-lft-out--`
3×	`unpow-prod-down` `associate-l` `log-pow`
2×	`sum-log` `rem-exp-log`
1×	`unpow-prod-up` `+-commutative` `pow-to-exp` `associate-+r-` `flip3-+` `exp-sum` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `pow-sub` `difference-of-squares` `unswap-sqr` `sqr-pow`

Counts

4 → 111

Calls

4 calls:

12.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1.0 z) (* 1/2 (* (/ z 1.0) (/ z 1.0))))) b))))
7.0ms	(* y (- (log z) t))
15.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1.0 z) (* 1/2 (* (/ z 1.0) (/ z 1.0))))) b)))
16.0ms	(pow (exp a) (+ (log 1.0) (- (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* z 1.0)) b)))

series151.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1.0 z) (* 1/2 (* (/ z 1.0) (/ z 1.0))))) b))))
13.0ms	(* y (- (log z) t))
52.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1.0 z) (* 1/2 (* (/ z 1.0) (/ z 1.0))))) b)))
29.0ms	(pow (exp a) (+ (log 1.0) (- (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* z 1.0)) b)))

simplify62.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5279	2732

prune393.0ms

Filtered

91 candidates to 123 candidates (-35.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	123	3	126

Merged error: 0.0b

Counts

126 → 3

regimes452.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	30
1	30	30

end0.0ms

sample7.6s

Algorithm

intervals

Results

2.9s	40459×	body	80	nan
1.0s	12377×	body	80	valid
155.0ms	361×	body	640	valid
113.0ms	411×	body	320	valid
53.0ms	66×	body	1280	valid
52.0ms	300×	body	160	valid

Details

sample250.0ms

simplify32.0ms

prune16.0ms

localize17.0ms

rewrite36.0ms

series123.0ms

simplify34.0ms

prune191.0ms

localize24.0ms

rewrite51.0ms

series212.0ms

simplify48.0ms

prune245.0ms

localize14.0ms

rewrite18.0ms

series70.0ms

simplify80.0ms

prune87.0ms

localize36.0ms

rewrite53.0ms

series151.0ms

simplify62.0ms

prune393.0ms

regimes452.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample7.6s

Profiling