Details

sample139.0ms

Algorithm

intervals

Results

43.0ms	761×	body	80	nan
13.0ms	20×	body	1280	valid
11.0ms	170×	body	80	valid
9.0ms	27×	body	640	valid
4.0ms	21×	body	320	valid
3.0ms	20×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	97	13
1	97	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: 11.1b

Counts

2 → 1

localize12.0ms

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)))
0.3b	(* x (log y))
7.3b	(log (- 1.0 y))

rewrite26.0ms

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:

7.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
7.0ms	(* z (log (- 1.0 y)))
5.0ms	(* x (log y))
4.0ms	(log (- 1.0 y))

series44.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
9.0ms	(* z (log (- 1.0 y)))
8.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

simplify30.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5311	990

prune195.0ms

Filtered

69 candidates to 98 candidates (-42.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	89	9	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	9	99

Merged error: 0.1b

Counts

99 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (/ y 1.0) (/ y 1.0)) -1/2)
0.0b	(+ (* x (log y)) (* z (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y)))))
0.0b	(* z (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y))))
0.3b	(* x (log y))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log` `add-cbrt-cube`
18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
15×	`pow1`
13×	`add-cube-cbrt`
12×	`log-prod` `associate-r`
11×	`prod-exp` `cbrt-unprod`
8×	`distribute-rgt-in` `distribute-lft-in`
7×	`associate-l`
6×	`associate-+l+` `add-log-exp`
5×	`pow-prod-down`
4×	`cbrt-undiv` `div-exp` `associate-*l/`
3×	`associate-r/` `-commutative` `unswap-sqr`
2×	`associate-+r+` `flip3-+` `log-pow` `flip-+` `distribute-lft-out`
1×	`+-commutative` `frac-times` `sum-log`

Counts

4 → 96

Calls

4 calls:

10.0ms	(* (* (/ y 1.0) (/ y 1.0)) -1/2)
6.0ms	(+ (* x (log y)) (* z (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y)))))
14.0ms	(* z (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y))))
6.0ms	(* x (log y))

series55.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* (/ y 1.0) (/ y 1.0)) -1/2)
28.0ms	(+ (* x (log y)) (* z (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y)))))
15.0ms	(* z (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y))))
8.0ms	(* x (log y))

simplify49.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4976	1501
1	4976	1501

prune212.0ms

Filtered

71 candidates to 108 candidates (-52.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	107	10	117

Merged error: 0.1b

Counts

117 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x (log y)) (- (* z (log 1.0)) (* y (+ (* z 1.0) (* (* z 0.5) y))))) t)
0.0b	(* y (+ (* z 1.0) (* (* z 0.5) y)))
0.0b	(+ (* x (log y)) (- (* z (log 1.0)) (* y (+ (* z 1.0) (* (* z 0.5) y)))))
0.3b	(* x (log y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

9.0ms	(- (+ (* x (log y)) (- (* z (log 1.0)) (* y (+ (* z 1.0) (* (* z 0.5) y))))) t)
7.0ms	(* y (+ (* z 1.0) (* (* z 0.5) y)))
8.0ms	(+ (* x (log y)) (- (* z (log 1.0)) (* y (+ (* z 1.0) (* (* z 0.5) y)))))
5.0ms	(* x (log y))

series85.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (+ (* x (log y)) (- (* z (log 1.0)) (* y (+ (* z 1.0) (* (* z 0.5) y))))) t)
9.0ms	(* y (+ (* z 1.0) (* (* z 0.5) y)))
26.0ms	(+ (* x (log y)) (- (* z (log 1.0)) (* y (+ (* z 1.0) (* (* z 0.5) y)))))
8.0ms	(* x (log y))

simplify25.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	5166	1517

prune199.0ms

Filtered

77 candidates to 104 candidates (-35.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	105	9	114

Merged error: 0.1b

Counts

114 → 9

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.3b	(* x (* 2 (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-r` `associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 96

Calls

4 calls:

6.0ms	(* x (log (cbrt y)))
10.0ms	(* x (* 2 (log (cbrt y))))
1.0ms	(cbrt y)
2.0ms	(cbrt y)

series96.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* x (log (cbrt y)))
23.0ms	(* x (* 2 (log (cbrt y))))
24.0ms	(cbrt y)
24.0ms	(cbrt y)

simplify59.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4977	854
1	4977	854

prune133.0ms

Filtered

60 candidates to 108 candidates (-80.0%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	104	4	108
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	107	10	117

Merged error: 0.0b

Counts

117 → 10

regimes382.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	42
1	43	42

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.4s	24910×	body	80	nan
360.0ms	5510×	body	80	valid
315.0ms	923×	body	640	valid
250.0ms	407×	body	1280	valid
160.0ms	741×	body	320	valid
64.0ms	448×	body	160	valid

Details

sample139.0ms

simplify4.0ms

prune8.0ms

localize12.0ms

rewrite26.0ms

series44.0ms

simplify30.0ms

prune195.0ms

localize17.0ms

rewrite38.0ms

series55.0ms

simplify49.0ms

prune212.0ms

localize20.0ms

rewrite31.0ms

series85.0ms

simplify25.0ms

prune199.0ms

localize23.0ms

rewrite23.0ms

series96.0ms

simplify59.0ms

prune133.0ms

regimes382.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.2s

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