Details

sample256.0ms

Algorithm

intervals

Results

95.0ms	1333×	body	80	nan
33.0ms	415×	body	80	valid
5.0ms	11×	body	640	valid
2.0ms	10×	body	160	valid
2.0ms	6×	body	320	valid
1.0ms	2×	body	1280	valid

simplify37.0ms

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

prune6.0ms

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: 2.0b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
0.2b	(* y (- (log z) t))
0.5b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
7.6b	(log (- 1.0 z))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

8.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
9.0ms	(* y (- (log z) t))
12.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))

series111.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
14.0ms	(* y (- (log z) t))
41.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))

simplify66.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	657	992
1	2473	924
2	5001	894

prune202.0ms

Filtered

83 candidates to 113 candidates (-36.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	111	2	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	112	2	114

Merged error: 0.3b

Counts

114 → 2

localize22.0ms

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))
0.0b	(exp (+ (* 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))
0.5b	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 123

Calls

4 calls:

22.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
18.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
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)))

series154.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
64.0ms	(exp (+ (* 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))
56.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify81.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	662	1755
1	2763	1645
2	5002	1626

prune320.0ms

Filtered

88 candidates to 135 candidates (-53.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	132	3	135
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	134	3	137

Merged error: 0.0b

Counts

137 → 3

localize23.0ms

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))
0.0b	(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))
0.5b	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 129

Calls

4 calls:

19.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
19.0ms	(pow E (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
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)))

series164.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
67.0ms	(pow E (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
17.0ms	(* 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)))

simplify90.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	717	1910
1	3066	1814
2	5002	1795

prune324.0ms

Filtered

92 candidates to 141 candidates (-53.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	141	3	144

Merged error: 0.0b

Counts

144 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

12.0ms	(* x (exp (+ (* y (- (log z) t)) (* (log 1.0) a))))
4.0ms	(- (log z) t)
7.0ms	(exp (+ (* y (- (log z) t)) (* (log 1.0) a)))
7.0ms	(* y (- (log z) t))

series90.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* x (exp (+ (* y (- (log z) t)) (* (log 1.0) a))))
9.0ms	(- (log z) t)
24.0ms	(exp (+ (* y (- (log z) t)) (* (log 1.0) a)))
14.0ms	(* y (- (log z) t))

simplify106.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	351	647
1	1274	561
2	4303	519
3	5001	517

prune126.0ms

Filtered

66 candidates to 95 candidates (-43.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	95	3	98

Merged error: 0.0b

Counts

98 → 3

regimes433.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	16
1	37	16
2	37	16

end0.0ms

sample7.6s

Algorithm

intervals

Results

2.9s	40556×	body	80	nan
987.0ms	12396×	body	80	valid
169.0ms	392×	body	640	valid
109.0ms	400×	body	320	valid
58.0ms	73×	body	1280	valid
50.0ms	282×	body	160	valid

Details

sample256.0ms

simplify37.0ms

prune6.0ms

localize15.0ms

rewrite37.0ms

series111.0ms

simplify66.0ms

prune202.0ms

localize22.0ms

rewrite73.0ms

series154.0ms

simplify81.0ms

prune320.0ms

localize23.0ms

rewrite72.0ms

series164.0ms

simplify90.0ms

prune324.0ms

localize12.0ms

rewrite33.0ms

series90.0ms

simplify106.0ms

prune126.0ms

regimes433.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample7.6s

Profiling