Details

sample126.0ms

Algorithm

intervals

Results

40.0ms	716×	body	80	nan
11.0ms	34×	body	640	valid
11.0ms	176×	body	80	valid
7.0ms	11×	body	1280	valid
5.0ms	22×	body	320	valid
2.0ms	15×	body	160	valid

simplify194.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (192.0ms)

Iter	Nodes	Cost
0	5378	13

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 9.0b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.0b	(* z (log (- 1.0 y)))
0.2b	(* x (log y))
5.5b	(log (- 1.0 y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

9.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
6.0ms	(* z (log (- 1.0 y)))
4.0ms	(* x (log y))
4.0ms	(log (- 1.0 y))

series38.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
8.0ms	(* z (log (- 1.0 y)))
7.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

simplify61.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4957	981
1	4957	981

prune262.0ms

Filtered

69 candidates to 98 candidates (-42.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	90	8	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	8	99

Merged error: 0.0b

Counts

99 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z (- (log 1.0) (* 1.0 y))) (* (* y (/ (* y z) (* 1.0 1.0))) -1/2))
0.0b	(* (* y (/ (* y z) (* 1.0 1.0))) -1/2)
0.1b	(* y (/ (* y z) (* 1.0 1.0)))
0.2b	(* x (log y))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log` `add-cbrt-cube`
25×	`prod-exp` `cbrt-unprod`
17×	`add-sqr-sqrt`
14×	`pow1`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`log-prod` `associate-r`
10×	`associate-+l+`
8×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp`
7×	`associate-l`
6×	`associate-*r/` `associate--l+` `add-log-exp`
5×	`pow-prod-down`
3×	`associate-l/` `-commutative`
2×	`sub-neg` `frac-add` `unswap-sqr`
1×	`+-commutative` `flip3--` `flip3-+` `times-frac` `sum-log` `log-pow` `flip--` `flip-+` `div-inv`

Counts

4 → 104

Calls

4 calls:

9.0ms	(+ (* z (- (log 1.0) (* 1.0 y))) (* (* y (/ (* y z) (* 1.0 1.0))) -1/2))
10.0ms	(* (* y (/ (* y z) (* 1.0 1.0))) -1/2)
10.0ms	(* y (/ (* y z) (* 1.0 1.0)))
4.0ms	(* x (log y))

series29.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(+ (* z (- (log 1.0) (* 1.0 y))) (* (* y (/ (* y z) (* 1.0 1.0))) -1/2))
4.0ms	(* (* y (/ (* y z) (* 1.0 1.0))) -1/2)
4.0ms	(* y (/ (* y z) (* 1.0 1.0)))
7.0ms	(* x (log y))

simplify31.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5342	1473

prune178.0ms

Filtered

71 candidates to 116 candidates (-63.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	116	8	124

Merged error: 0.0b

Counts

124 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log y))
7.7b	(+ (* (log (+ (sqrt 1.0) (sqrt y))) z) (* (log (- (sqrt 1.0) (sqrt y))) z))
9.1b	(log (- (sqrt 1.0) (sqrt y)))
9.1b	(log (+ (sqrt 1.0) (sqrt y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

4.0ms	(* x (log y))
5.0ms	(+ (* (log (+ (sqrt 1.0) (sqrt y))) z) (* (log (- (sqrt 1.0) (sqrt y))) z))
6.0ms	(log (- (sqrt 1.0) (sqrt y)))
6.0ms	(log (+ (sqrt 1.0) (sqrt y)))

series84.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* x (log y))
63.0ms	(+ (* (log (+ (sqrt 1.0) (sqrt y))) z) (* (log (- (sqrt 1.0) (sqrt y))) z))
8.0ms	(log (- (sqrt 1.0) (sqrt y)))
7.0ms	(log (+ (sqrt 1.0) (sqrt y)))

simplify28.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5005	1162

prune189.0ms

Filtered

59 candidates to 85 candidates (-44.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (- 1.0 y)) 3)
0.1b	(cbrt (pow (log (- 1.0 y)) 3))
0.2b	(* x (log y))
5.5b	(log (- 1.0 y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
14×	`cbrt-prod`
13×	`pow1`
11×	`log-prod`
8×	`add-exp-log` `unpow-prod-down` `cube-prod`
7×	`add-cbrt-cube`
6×	`log-pow`
4×	`associate-r` `add-log-exp`
3×	`distribute-rgt-in` `pow-unpow` `distribute-lft-in` `associate-l`
2×	`cube-mult` `log-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `flip3--` `pow-pow` `pow1/3` `rem-log-exp` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `flip--` `rem-cbrt-cube` `cbrt-unprod` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

3.0ms	(pow (log (- 1.0 y)) 3)
2.0ms	(cbrt (pow (log (- 1.0 y)) 3))
4.0ms	(* x (log y))
5.0ms	(log (- 1.0 y))

series23.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(pow (log (- 1.0 y)) 3)
3.0ms	(cbrt (pow (log (- 1.0 y)) 3))
7.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

simplify44.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5145	981

prune148.0ms

Filtered

59 candidates to 101 candidates (-71.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	101	8	109

Merged error: 0.0b

Counts

109 → 8

regimes334.0ms

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	62	27
1	62	27

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.3s	24363×	body	80	nan
347.0ms	5546×	body	80	valid
297.0ms	879×	body	640	valid
273.0ms	417×	body	1280	valid
153.0ms	712×	body	320	valid
61.0ms	470×	body	160	valid

Details

sample126.0ms

simplify194.0ms

prune8.0ms

localize11.0ms

rewrite25.0ms

series38.0ms

simplify61.0ms

prune262.0ms

localize18.0ms

rewrite38.0ms

series29.0ms

simplify31.0ms

prune178.0ms

localize21.0ms

rewrite22.0ms

series84.0ms

simplify28.0ms

prune189.0ms

localize13.0ms

rewrite17.0ms

series23.0ms

simplify44.0ms

prune148.0ms

regimes334.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.9s

Profiling