Details

sample155.0ms

Algorithm

intervals

Results

58.0ms	913×	body	80	nan
14.0ms	200×	body	80	valid
11.0ms	19×	body	640	valid
10.0ms	12×	body	1280	valid
4.0ms	16×	body	320	valid
1.0ms	9×	body	160	valid

simplify132.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	9
1	49	9
2	118	9
3	256	9
4	533	9
5	1250	9
6	2637	9
7	4297	9
8	4573	9
9	4588	9
10	4588	9

prune4.0ms

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: 3.5b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- z 1.0) (log (- 1.0 y)))
0.0b	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
0.1b	(* (- x 1.0) (log y))
7.4b	(log (- 1.0 y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

37×	`log-prod`
35×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
17×	`add-cube-cbrt`
16×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-*l/`
11×	`pow1`
10×	`associate-+r+` `associate-l`
9×	`add-exp-log`
8×	`associate-r` `add-cbrt-cube`
7×	`flip3--` `flip--` `distribute-lft-out--` `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 → 109

Calls

4 calls:

8.0ms	(* (- z 1.0) (log (- 1.0 y)))
11.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
7.0ms	(* (- x 1.0) (log y))
3.0ms	(log (- 1.0 y))

series43.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (- z 1.0) (log (- 1.0 y)))
25.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
9.0ms	(* (- x 1.0) (log y))
3.0ms	(log (- 1.0 y))

simplify69.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	673	1005
1	2529	936
2	5001	886

prune225.0ms

Filtered

87 candidates to 121 candidates (-39.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	114	7	121
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	115	7	122

Merged error: 0.0b

Counts

122 → 7

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.0b	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.1b	(* (- x 1.0) (log y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 113

Calls

3 calls:

12.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
12.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
7.0ms	(* (- x 1.0) (log y))

series60.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
36.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
12.0ms	(* (- x 1.0) (log y))

simplify117.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	860	2196
1	4429	2123
2	5002	2089

prune409.0ms

Filtered

89 candidates to 122 candidates (-37.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	123	6	129

Merged error: 0.0b

Counts

129 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- x 1.0) (log y))
1.4b	(+ (+ (* (- x 1.0) (log y)) (* (log (+ (sqrt 1.0) (sqrt y))) (- z 1.0))) (* (- z 1.0) (log (- (sqrt 1.0) (sqrt y)))))
11.5b	(log (+ (sqrt 1.0) (sqrt y)))
11.6b	(log (- (sqrt 1.0) (sqrt y)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

7.0ms	(* (- x 1.0) (log y))
16.0ms	(+ (+ (* (- x 1.0) (log y)) (* (log (+ (sqrt 1.0) (sqrt y))) (- z 1.0))) (* (- z 1.0) (log (- (sqrt 1.0) (sqrt y)))))
5.0ms	(log (+ (sqrt 1.0) (sqrt y)))
5.0ms	(log (- (sqrt 1.0) (sqrt y)))

series82.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (- x 1.0) (log y))
58.0ms	(+ (+ (* (- x 1.0) (log y)) (* (log (+ (sqrt 1.0) (sqrt y))) (- z 1.0))) (* (- z 1.0) (log (- (sqrt 1.0) (sqrt y)))))
7.0ms	(log (+ (sqrt 1.0) (sqrt y)))
8.0ms	(log (- (sqrt 1.0) (sqrt y)))

simplify44.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1134	2076
1	5001	1976

prune364.0ms

Filtered

89 candidates to 120 candidates (-34.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	121	5	126

Merged error: 0.0b

Counts

126 → 5

localize24.0ms

Local error

Found 4 expressions with local error:

0.7b	(exp (log (log (+ (sqrt 1.0) (sqrt y)))))
1.4b	(+ (+ (* (- x 1.0) (log y)) (* (exp (log (log (+ (sqrt 1.0) (sqrt y))))) (- z 1.0))) (* (- z 1.0) (log (- (sqrt 1.0) (sqrt y)))))
11.5b	(log (+ (sqrt 1.0) (sqrt y)))
11.6b	(log (- (sqrt 1.0) (sqrt y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
34×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
20×	`associate-*l/` `frac-add` `sqrt-prod`
18×	`associate-+r+`
15×	`flip3--` `flip--`
12×	`difference-of-squares`
10×	`add-cube-cbrt`
9×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
8×	`pow1` `associate-*r/`
6×	`add-exp-log` `distribute-lft-out--`
4×	`log-div` `exp-prod` `flip3-+` `exp-sum` `log-pow` `add-cbrt-cube` `flip-+`
3×	`sum-log`
2×	`rem-log-exp` `distribute-lft-out`
1×	`+-commutative` `associate-+l+` `rem-exp-log`

Counts

4 → 95

Calls

4 calls:

2.0ms	(exp (log (log (+ (sqrt 1.0) (sqrt y)))))
16.0ms	(+ (+ (* (- x 1.0) (log y)) (* (exp (log (log (+ (sqrt 1.0) (sqrt y))))) (- z 1.0))) (* (- z 1.0) (log (- (sqrt 1.0) (sqrt y)))))
5.0ms	(log (+ (sqrt 1.0) (sqrt y)))
5.0ms	(log (- (sqrt 1.0) (sqrt y)))

series79.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(exp (log (log (+ (sqrt 1.0) (sqrt y)))))
57.0ms	(+ (+ (* (- x 1.0) (log y)) (* (exp (log (log (+ (sqrt 1.0) (sqrt y))))) (- z 1.0))) (* (- z 1.0) (log (- (sqrt 1.0) (sqrt y)))))
7.0ms	(log (+ (sqrt 1.0) (sqrt y)))
8.0ms	(log (- (sqrt 1.0) (sqrt y)))

simplify113.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	1061	2191
1	4965	1997
2	5001	1997

prune350.0ms

Filtered

80 candidates to 107 candidates (-33.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	107	5	112

Merged error: 0.0b

Counts

112 → 5

regimes467.0ms

Accuracy

90.5% (0.6b remaining)

Error of 0.9b against oracle of 0.4b and baseline of 6.5b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	41
1	63	41

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.6s	24939×	body	80	nan
414.0ms	5920×	body	80	valid
287.0ms	765×	body	640	valid
173.0ms	248×	body	1280	valid
150.0ms	652×	body	320	valid
63.0ms	439×	body	160	valid

Details

sample155.0ms

simplify132.0ms

prune4.0ms

localize15.0ms

rewrite32.0ms

series43.0ms

simplify69.0ms

prune225.0ms

localize20.0ms

rewrite35.0ms

series60.0ms

simplify117.0ms

prune409.0ms

localize21.0ms

rewrite40.0ms

series82.0ms

simplify44.0ms

prune364.0ms

localize24.0ms

rewrite35.0ms

series79.0ms

simplify113.0ms

prune350.0ms

regimes467.0ms

bsearch2.0ms

simplify2.0ms

end0.0ms

sample4.2s

Profiling