Details

sample130.0ms

Algorithm

intervals

Results

45.0ms	773×	body	80	nan
10.0ms	16×	body	1280	valid
10.0ms	166×	body	80	valid
9.0ms	26×	body	640	valid
6.0ms	30×	body	320	valid
3.0ms	19×	body	160	valid

simplify21.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	7
1	30	7
2	39	7
3	45	7
4	60	7
5	88	7
6	125	7
7	176	7
8	208	7
9	225	7
10	293	7
11	293	7

prune4.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 9.9b

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)))
0.3b	(* x (log y))
6.1b	(log (- 1.0 y))

rewrite24.0ms

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:

8.0ms	(- (+ (* 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))

series36.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (+ (* 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))

simplify46.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	458	643
1	1650	563
2	5002	529

prune157.0ms

Filtered

98 candidates to 66 candidates (32.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	91	7	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	7	99

Merged error: 0.0b

Counts

99 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t)
0.0b	(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
0.3b	(* x (log y))
10.1b	(* z (pow y 2))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-exp-log`
27×	`add-sqr-sqrt`
26×	`prod-exp`
24×	`associate-r`
18×	`add-log-exp`
17×	`*-un-lft-identity` `add-cbrt-cube`
15×	`add-cube-cbrt`
12×	`div-exp`
9×	`pow1` `associate-l`
8×	`pow-to-exp` `times-frac` `pow-exp`
7×	`unpow-prod-down`
6×	`log-prod` `diff-log` `cbrt-unprod` `unswap-sqr`
4×	`sum-log`
3×	`distribute-rgt-in` `distribute-lft-in` `*-commutative` `unpow2` `sqr-pow`
2×	`cbrt-undiv` `pow-prod-down`
1×	`associate--l-` `associate-+r-` `sub-neg` `flip3--` `associate-*r/` `associate--l+` `log-pow` `flip--` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 113

Calls

4 calls:

13.0ms	(- (+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t)
9.0ms	(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
4.0ms	(* x (log y))
5.0ms	(* z (pow y 2))

series61.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t)
10.0ms	(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
7.0ms	(* x (log y))
7.0ms	(* z (pow y 2))

simplify67.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	549	922
1	2343	817
2	5002	817

prune215.0ms

Filtered

125 candidates to 74 candidates (40.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	125	7	132

Merged error: 0.0b

Counts

132 → 7

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log y))
9.1b	(+ (* z (log (+ (sqrt 1.0) (sqrt y)))) (* z (log (- (sqrt 1.0) (sqrt y)))))
11.9b	(log (- (sqrt 1.0) (sqrt y)))
12.1b	(log (+ (sqrt 1.0) (sqrt y)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

4.0ms	(* x (log y))
14.0ms	(+ (* z (log (+ (sqrt 1.0) (sqrt y)))) (* z (log (- (sqrt 1.0) (sqrt y)))))
6.0ms	(log (- (sqrt 1.0) (sqrt y)))
5.0ms	(log (+ (sqrt 1.0) (sqrt y)))

series52.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* x (log y))
27.0ms	(+ (* z (log (+ (sqrt 1.0) (sqrt y)))) (* z (log (- (sqrt 1.0) (sqrt y)))))
7.0ms	(log (- (sqrt 1.0) (sqrt y)))
7.0ms	(log (+ (sqrt 1.0) (sqrt y)))

simplify62.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	645	1186
1	2385	1100
2	5001	1061

prune235.0ms

Filtered

113 candidates to 74 candidates (34.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	113	7	120

Merged error: 0.0b

Counts

120 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.7b	(cbrt y)
0.7b	(cbrt y)
6.1b	(log (- 1.0 y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

41×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod` `associate-+l+`
21×	`add-sqr-sqrt` `*-un-lft-identity`
19×	`add-cube-cbrt`
12×	`associate-+r+`
6×	`add-log-exp`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube`
2×	`log-div` `pow1/3`
1×	`+-commutative` `flip3--` `flip3-+` `rem-log-exp` `sum-log` `log-pow` `flip--` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 86

Calls

4 calls:

9.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
3.0ms	(log (- 1.0 y))

series68.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
21.0ms	(cbrt y)
24.0ms	(cbrt y)
3.0ms	(log (- 1.0 y))

simplify41.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	431	668
1	1252	584
2	5001	529

prune318.0ms

Filtered

98 candidates to 86 candidates (12.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	94	4	98
Fresh	4	0	4
Picked	1	0	1
Done	0	2	2
Total	99	6	105

Merged error: 0.0b

Counts

105 → 6

regimes286.0ms

Accuracy

0% (0.3b 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	30	15
1	30	15

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.3s	24078×	body	80	nan
338.0ms	5536×	body	80	valid
310.0ms	916×	body	640	valid
266.0ms	415×	body	1280	valid
148.0ms	717×	body	320	valid
62.0ms	456×	body	160	valid

Details

sample130.0ms

simplify21.0ms

prune4.0ms

localize11.0ms

rewrite24.0ms

series36.0ms

simplify46.0ms

prune157.0ms

localize19.0ms

rewrite36.0ms

series61.0ms

simplify67.0ms

prune215.0ms

localize22.0ms

rewrite33.0ms

series52.0ms

simplify62.0ms

prune235.0ms

localize16.0ms

rewrite18.0ms

series68.0ms

simplify41.0ms

prune318.0ms

regimes286.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.8s

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