Details

sample3.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 63.439941%

Guaranteed chance to sample good point: 16.602671%

Results

20.0ms	217×	body	80	nan
18.0ms	229×	body	80	valid
12.0ms	157×	body	80	invalid
4.0ms	10×	body	640	valid
4.0ms	13×	body	320	valid
2.0ms	2×	body	1280	invalid
2.0ms	4×	body	640	invalid
2.0ms	6×	body	320	invalid
1.0ms	4×	body	160	valid

simplify57.0ms

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

prune10.0ms

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: 3.7b

Counts

2 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (- (log (- 1.0 z)) b))
0.1b	(* y (- (log z) t))
0.8b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.3b	(log (- 1.0 z))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 125

Calls

4 calls:

9.0ms	(* a (- (log (- 1.0 z)) b))
7.0ms	(* y (- (log z) t))
14.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))

series68.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* a (- (log (- 1.0 z)) b))
13.0ms	(* y (- (log z) t))
38.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))

simplify72.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	696	1071
1	2712	1006
2	5001	983

prune214.0ms

Filtered

93 candidates to 137 candidates (-47.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	134	3	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	135	3	138

Merged error: 0.3b

Counts

138 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (exp (+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z)))))))
0.0b	(+ (* a b) (* 1.0 (* a z)))
0.1b	(* y (- (log z) t))
0.8b	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z)))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

14.0ms	(* x (exp (+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z)))))))
4.0ms	(+ (* a b) (* 1.0 (* a z)))
7.0ms	(* y (- (log z) t))
13.0ms	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z)))))

series116.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* x (exp (+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z)))))))
8.0ms	(+ (* a b) (* 1.0 (* a z)))
14.0ms	(* y (- (log z) t))
35.0ms	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z)))))

simplify81.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	661	1288
1	2942	1170
2	5003	1151

prune192.0ms

Filtered

78 candidates to 112 candidates (-43.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	108	4	112
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	110	5	115

Merged error: 0.2b

Counts

115 → 5

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (- (log z) t))
0.1b	(* y (- (log z) t))
0.8b	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z)))))
0.8b	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z)))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 138

Calls

4 calls:

7.0ms	(* y (- (log z) t))
7.0ms	(* y (- (log z) t))
14.0ms	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z)))))
14.0ms	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z)))))

series101.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(* y (- (log z) t))
13.0ms	(* y (- (log z) t))
33.0ms	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z)))))
41.0ms	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z)))))

simplify67.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	503	1682
1	2139	1570
2	5001	1532

prune374.0ms

Filtered

104 candidates to 150 candidates (-44.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	150	5	155

Merged error: 0.2b

Counts

155 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.8b	(+ (* (* (cbrt y) (cbrt y)) (* (cbrt y) (- (log z) t))) (* a (- (log (- 1.0 z)) b)))
5.3b	(log (- 1.0 z))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

27×	`distribute-rgt-in` `log-prod` `distribute-lft-in`
22×	`associate--l+`
20×	`associate-+l+`
19×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`associate-+r+`
13×	`add-cube-cbrt`
12×	`associate-*r/`
6×	`cbrt-prod` `sub-neg` `add-log-exp`
5×	`pow1` `add-exp-log` `flip3--` `flip--`
4×	`frac-add` `add-cbrt-cube`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`log-div` `pow1/3`
1×	`+-commutative` `flip3-+` `rem-log-exp` `sum-log` `log-pow` `flip-+`

Counts

4 → 87

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
19.0ms	(+ (* (* (cbrt y) (cbrt y)) (* (cbrt y) (- (log z) t))) (* a (- (log (- 1.0 z)) b)))
4.0ms	(log (- 1.0 z))

series95.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
21.0ms	(cbrt y)
49.0ms	(+ (* (* (cbrt y) (cbrt y)) (* (cbrt y) (- (log z) t))) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))

simplify66.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	655	1092
1	2320	996
2	5001	975

prune165.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	99	5	104

Merged error: 0.2b

Counts

104 → 5

regimes465.0ms

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	31	28
1	31	28

end0.0ms

sample5.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 63.439941%

Guaranteed chance to sample good point: 16.602671%

Results

611.0ms	7265×	body	80	valid
577.0ms	7008×	body	80	nan
427.0ms	5193×	body	80	invalid
103.0ms	238×	body	640	valid
77.0ms	272×	body	320	valid
48.0ms	112×	body	640	invalid
39.0ms	44×	body	1280	valid
38.0ms	138×	body	320	invalid
31.0ms	181×	body	160	valid
18.0ms	25×	body	1280	invalid
13.0ms	80×	body	160	invalid

Details

sample3.0s

simplify57.0ms

prune10.0ms

localize18.0ms

rewrite38.0ms

series68.0ms

simplify72.0ms

prune214.0ms

localize18.0ms

rewrite42.0ms

series116.0ms

simplify81.0ms

prune192.0ms

localize24.0ms

rewrite47.0ms

series101.0ms

simplify67.0ms

prune374.0ms

localize19.0ms

rewrite28.0ms

series95.0ms

simplify66.0ms

prune165.0ms

regimes465.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample5.9s

Profiling