Details

sample271.0ms

Algorithm

intervals

Results

134.0ms	1330×	body	80	nan
53.0ms	426×	body	80	valid
4.0ms	9×	body	640	valid
4.0ms	4×	body	1280	valid
2.0ms	11×	body	160	valid
2.0ms	6×	body	320	valid

simplify40.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
0.0b	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
0.2b	(* y (- (log z) t))
6.8b	(log (- 1.0 z))

rewrite88.0ms

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:

16.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
52.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
13.0ms	(* y (- (log z) t))
3.0ms	(log (- 1.0 z))

series463.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
160.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
73.0ms	(* y (- (log z) t))
43.0ms	(log (- 1.0 z))

simplify74.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	675	1085
1	2723	1003
2	5001	985

prune431.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite813.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-sqr-sqrt`
85×	`associate-r`
80×	`times-frac`
58×	`*-un-lft-identity`
56×	`unpow-prod-down`
48×	`add-cube-cbrt`
32×	`add-exp-log`
24×	`unpow2` `sqr-pow`
22×	`associate--l+`
20×	`unswap-sqr`
15×	`add-cbrt-cube`
14×	`pow1`
13×	`prod-exp`
12×	`distribute-rgt-in` `log-prod` `distribute-lft-in` `associate-l`
9×	`div-exp`
7×	`distribute-lft-out--`
6×	`pow-to-exp` `sub-neg` `pow-exp`
5×	`associate-*r/` `cbrt-unprod`
4×	`pow-prod-down` `*-commutative` `add-log-exp`
2×	`flip3--` `log-pow` `flip--` `difference-of-squares`
1×	`cbrt-undiv` `exp-sum` `div-inv`

Counts

4 → 200

Calls

4 calls:

29.0ms	(* 1/2 (/ (pow z 2) (pow 1.0 2)))
324.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
437.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
13.0ms	(* y (- (log z) t))

series654.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* 1/2 (/ (pow z 2) (pow 1.0 2)))
424.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
103.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
75.0ms	(* y (- (log z) t))

simplify104.0ms

Algorithm

egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	969	1741
1	4159	1498
2	5002	1498

prune761.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite480.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 137

Calls

4 calls:

434.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
15.0ms	(* y (- (log z) t))
13.0ms	(* y (- (log z) t))
13.0ms	(* y (- (log z) t))

series310.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
71.0ms	(* y (- (log z) t))
66.0ms	(* y (- (log z) t))
71.0ms	(* y (- (log z) t))

simplify51.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	363	1039
1	1426	933
2	5001	914

prune671.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite649.0ms

Algorithm

rewrite-expression-head

Rules

98×	`associate-r`
91×	`add-sqr-sqrt`
80×	`times-frac`
59×	`*-un-lft-identity`
56×	`unpow-prod-down`
49×	`add-cube-cbrt`
38×	`associate--l+`
33×	`add-exp-log`
24×	`unpow2` `sqr-pow`
19×	`distribute-rgt-in` `distribute-lft-in` `unswap-sqr`
18×	`log-prod` `add-cbrt-cube`
17×	`pow1`
15×	`prod-exp`
14×	`exp-sum`
10×	`sub-neg` `associate-l`
9×	`div-exp`
7×	`cbrt-unprod` `distribute-lft-out--`
6×	`pow-to-exp` `pow-prod-down` `pow-exp`
5×	`associate-*r/`
4×	`*-commutative` `add-log-exp`
2×	`flip3--` `log-pow` `flip--` `difference-of-squares`
1×	`cbrt-undiv` `div-inv`

Counts

4 → 213

Calls

4 calls:

29.0ms	(* 1/2 (/ (pow z 2) (pow 1.0 2)))
426.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
13.0ms	(* y (- (log z) t))
171.0ms	(* (* x (exp (* y (- (log z) t)))) (exp (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))

series508.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* 1/2 (/ (pow z 2) (pow 1.0 2)))
100.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
70.0ms	(* y (- (log z) t))
284.0ms	(* (* x (exp (* y (- (log z) t)))) (exp (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))

simplify44.0ms

Algorithm

egg-herbie

Counts

225 → 225

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1080	1972
1	5001	1613

prune856.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes140.0ms

Accuracy

0% (0.0b remaining)

Error of 0.5b against oracle of 0.4b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	51
1	36	51

end0.0ms

sample8.1s

Algorithm

intervals

Results

4.2s	42043×	body	80	nan
1.5s	12673×	body	80	valid
173.0ms	379×	body	640	valid
122.0ms	401×	body	320	valid
52.0ms	62×	body	1280	valid
47.0ms	225×	body	160	valid