Details

sample161.0ms

Algorithm

intervals

Results

63.0ms	1153×	body	80	nan
26.0ms	376×	body	80	valid
4.0ms	12×	body	640	valid
3.0ms	13×	body	320	valid
2.0ms	2×	body	1280	valid
1.0ms	9×	body	160	valid

simplify43.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.2b	(* y (- (log z) t))
0.3b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
7.5b	(log (- 1.0 z))

rewrite37.0ms

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)
13.0ms	(* y (- (log z) t))
13.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))

series380.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- (log z) t)
76.0ms	(* y (- (log z) t))
196.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
48.0ms	(log (- 1.0 z))

simplify73.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	593	882
1	2248	832
2	5001	830

prune442.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(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)
0.2b	(* 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)))

rewrite232.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

108.0ms	(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)
13.0ms	(* y (- (log z) t))
103.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series574.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
66.0ms	(- (log z) t)
82.0ms	(* y (- (log z) t))
246.0ms	(+ (* 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

115 → 115

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	580	1354
1	2377	1266
2	5001	1262

prune704.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.0b	(pow E (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
0.2b	(* 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)))

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 109

Calls

4 calls:

4.0ms	(- (log z) t)
94.0ms	(pow E (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
14.0ms	(* y (- (log z) t))
105.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series553.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- (log z) t)
179.0ms	(pow E (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
74.0ms	(* y (- (log z) t))
241.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify79.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	635	1509
1	2702	1435
2	5001	1431

prune539.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.0b	(pow (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))) 3)
0.2b	(* 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)))

rewrite239.0ms

Algorithm

rewrite-expression-head

Rules

31×	`associate--l+`
23×	`add-sqr-sqrt` `*-un-lft-identity`
21×	`log-prod`
17×	`distribute-rgt-in` `add-cube-cbrt` `distribute-lft-in`
14×	`associate-+r+`
10×	`associate-+l+` `associate-*r/`
9×	`pow1` `sub-neg`
7×	`add-cbrt-cube` `add-log-exp`
6×	`add-exp-log` `flip3--` `associate-r` `flip--`
4×	`unpow-prod-down` `pow-pow` `cube-prod` `frac-add` `distribute-lft-out--`
3×	`pow-unpow` `exp-prod` `associate-l`
2×	`exp-sum` `log-pow` `difference-of-squares`
1×	`+-commutative` `cube-mult` `pow-to-exp` `flip3-+` `diff-log` `unpow3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `rem-cube-cbrt` `unswap-sqr` `sqr-pow`

Counts

4 → 118

Calls

4 calls:

4.0ms	(- (log z) t)
115.0ms	(pow (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))) 3)
13.0ms	(* y (- (log z) t))
103.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series718.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(- (log z) t)
335.0ms	(pow (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))) 3)
70.0ms	(* y (- (log z) t))
250.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify90.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	671	1726
1	2874	1581
2	5001	1573

prune639.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes208.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	16
1	32	16

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.2s	40944×	body	80	nan
764.0ms	12492×	body	80	valid
131.0ms	390×	body	640	valid
85.0ms	411×	body	320	valid
48.0ms	68×	body	1280	valid
38.0ms	287×	body	160	valid