Details

sample202.0ms

Algorithm

intervals

Results

69.0ms	931×	body	80	nan
24.0ms	305×	body	80	valid

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	11
1	101	11
2	428	11
3	1514	11
4	4620	11
5	5001	11

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: 0.1b

Counts

2 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.0b	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
0.2b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

13.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
14.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
6.0ms	(* (- b 0.5) (log c))
4.0ms	(* x (log y))

series247.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
164.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
9.0ms	(* (- b 0.5) (log c))
9.0ms	(* x (log y))

simplify67.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	692	1057
1	2763	1002
2	5002	954

prune195.0ms

Filtered

72 candidates to 107 candidates (-48.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	97	10	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	10	108

Merged error: 0.0b

Counts

108 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (+ (* (- b 0.5) (log c)) (* y i)))
0.0b	(+ (* (- b 0.5) (log c)) (* y i))
0.2b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

18.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (+ (* (- b 0.5) (log c)) (* y i)))
7.0ms	(+ (* (- b 0.5) (log c)) (* y i))
7.0ms	(* (- b 0.5) (log c))
5.0ms	(* x (log y))

series215.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (+ (* (- b 0.5) (log c)) (* y i)))
28.0ms	(+ (* (- b 0.5) (log c)) (* y i))
9.0ms	(* (- b 0.5) (log c))
7.0ms	(* x (log y))

simplify75.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	664	1099
1	2831	1044
2	5002	987

prune180.0ms

Filtered

73 candidates to 110 candidates (-50.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	9	9
Picked	1	0	1
Done	0	0	0
Total	110	10	120

Merged error: 0.0b

Counts

120 → 10

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- b 0.5) (log (sqrt c))) (+ (* (log (sqrt c)) (- b 0.5)) (* y i)))
0.2b	(* (- b 0.5) (log (sqrt c)))
0.2b	(* (log (sqrt c)) (- b 0.5))
0.3b	(* x (log y))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 120

Calls

4 calls:

14.0ms	(+ (* (- b 0.5) (log (sqrt c))) (+ (* (log (sqrt c)) (- b 0.5)) (* y i)))
7.0ms	(* (- b 0.5) (log (sqrt c)))
7.0ms	(* (log (sqrt c)) (- b 0.5))
4.0ms	(* x (log y))

series57.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (* (- b 0.5) (log (sqrt c))) (+ (* (log (sqrt c)) (- b 0.5)) (* y i)))
7.0ms	(* (- b 0.5) (log (sqrt c)))
8.0ms	(* (log (sqrt c)) (- b 0.5))
7.0ms	(* x (log y))

simplify77.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	630	1194
1	2778	1049
2	5002	1024

prune205.0ms

Filtered

91 candidates to 132 candidates (-45.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	132	10	142

Merged error: 0.0b

Counts

142 → 10

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log y))
0.3b	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

42×	`log-prod`
33×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod` `add-sqr-sqrt` `associate-+l+`
22×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-+r+`
8×	`associate-*l/`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`flip3--` `associate-r` `frac-add` `flip--`
3×	`associate-l`
2×	`pow1/3`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

4.0ms	(* x (log y))
14.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
1.0ms	(cbrt c)
2.0ms	(cbrt c)

series89.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* x (log y))
36.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
25.0ms	(cbrt c)
21.0ms	(cbrt c)

simplify60.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	580	891
1	2054	779
2	5001	735

prune151.0ms

Filtered

91 candidates to 111 candidates (-22.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	111	10	121

Merged error: 0.0b

Counts

121 → 10

regimes1.7s

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	17
1	33	17
2	33	17

end0.0ms

sample5.8s

Algorithm

intervals

Results

2.0s	28233×	body	80	nan
735.0ms	9198×	body	80	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

Details

sample202.0ms

simplify71.0ms

prune6.0ms

localize18.0ms

rewrite41.0ms

series247.0ms

simplify67.0ms

prune195.0ms

localize19.0ms

rewrite40.0ms

series215.0ms

simplify75.0ms

prune180.0ms

localize25.0ms

rewrite37.0ms

series57.0ms

simplify77.0ms

prune205.0ms

localize26.0ms

rewrite25.0ms

series89.0ms

simplify60.0ms

prune151.0ms

regimes1.7s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample5.8s

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