Details

sample199.0ms

Algorithm

intervals

Results

66.0ms	862×	body	80	nan
24.0ms	295×	body	80	valid
0.0ms	1×	body	160	valid

simplify33.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5070	21

prune12.0ms

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: 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)
0.1b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

16.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
6.0ms	(+ (* x (log y)) z)
8.0ms	(* (- b 0.5) (log c))
6.0ms	(* x (log y))

series103.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
12.0ms	(+ (* x (log y)) z)
13.0ms	(* (- b 0.5) (log c))
8.0ms	(* x (log y))

simplify26.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	5162	1402

prune186.0ms

Filtered

79 candidates to 108 candidates (-36.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	102	6	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	6	109

Merged error: 0.0b

Counts

109 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* x (log y)) (+ z (+ t (+ (* (- b 0.5) (log (sqrt c))) a)))) (* (- b 0.5) (log (sqrt c))))
0.1b	(* (- b 0.5) (log (sqrt c)))
0.1b	(* (- b 0.5) (log (sqrt c)))
0.3b	(* x (log y))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

42×	`log-prod`
34×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
24×	`add-cube-cbrt` `add-log-exp`
21×	`distribute-rgt-in` `distribute-lft-in`
18×	`sqrt-prod`
16×	`associate-r`
15×	`pow1` `sum-log`
13×	`associate-l`
12×	`associate-+r+`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-*l/`
7×	`log-pow`
4×	`flip3--` `frac-add` `flip--`
3×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
2×	`sqrt-pow1` `pow1/2` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `associate-+l+`

Counts

4 → 131

Calls

4 calls:

22.0ms	(+ (+ (* x (log y)) (+ z (+ t (+ (* (- b 0.5) (log (sqrt c))) a)))) (* (- b 0.5) (log (sqrt c))))
9.0ms	(* (- b 0.5) (log (sqrt c)))
9.0ms	(* (- b 0.5) (log (sqrt c)))
5.0ms	(* x (log y))

series118.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(+ (+ (* x (log y)) (+ z (+ t (+ (* (- b 0.5) (log (sqrt c))) a)))) (* (- b 0.5) (log (sqrt c))))
10.0ms	(* (- b 0.5) (log (sqrt c)))
8.0ms	(* (- b 0.5) (log (sqrt c)))
8.0ms	(* x (log y))

simplify44.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4995	2343
1	4995	2343

prune204.0ms

Filtered

89 candidates to 143 candidates (-60.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	142	1	143
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	144	5	149

Merged error: 0.0b

Counts

149 → 5

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

30×	`log-prod`
20×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `associate-+r+` `*-un-lft-identity`
15×	`distribute-rgt-in` `distribute-lft-in`
12×	`cbrt-prod` `sqrt-prod`
8×	`associate-*l/`
7×	`pow1`
6×	`add-exp-log` `associate-+l+` `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 → 87

Calls

4 calls:

5.0ms	(* x (log y))
12.0ms	(+ (* (- b 0.5) (log (fabs (cbrt c)))) (* (- b 0.5) (log (sqrt (cbrt c)))))
2.0ms	(cbrt c)
2.0ms	(cbrt c)

series123.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* x (log y))
67.0ms	(+ (* (- b 0.5) (log (fabs (cbrt c)))) (* (- b 0.5) (log (sqrt (cbrt c)))))
24.0ms	(cbrt c)
24.0ms	(cbrt c)

simplify22.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	5160	1119

prune205.0ms

Filtered

79 candidates to 99 candidates (-25.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	98	6	104

Merged error: 0.0b

Counts

104 → 6

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log y))
0.3b	(+ (* (- b 0.5) (log (fabs (cbrt c)))) (* (- b 0.5) (log (sqrt (pow c 1/3)))))
0.6b	(cbrt c)
5.2b	(pow c 1/3)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

32×	`log-prod`
21×	`add-sqr-sqrt`
20×	`associate-+r+`
19×	`add-cube-cbrt` `*-un-lft-identity`
16×	`distribute-rgt-in` `distribute-lft-in`
14×	`sqrt-prod`
9×	`unpow-prod-down`
8×	`pow1` `associate-*l/`
7×	`add-exp-log`
6×	`associate-+l+` `add-cbrt-cube` `add-log-exp`
4×	`flip3--` `associate-r` `frac-add` `flip--`
3×	`cbrt-prod` `pow-unpow` `associate-l` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

5.0ms	(* x (log y))
13.0ms	(+ (* (- b 0.5) (log (fabs (cbrt c)))) (* (- b 0.5) (log (sqrt (pow c 1/3)))))
2.0ms	(cbrt c)
3.0ms	(pow c 1/3)

series112.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* x (log y))
55.0ms	(+ (* (- b 0.5) (log (fabs (cbrt c)))) (* (- b 0.5) (log (sqrt (pow c 1/3)))))
24.0ms	(cbrt c)
25.0ms	(pow c 1/3)

simplify38.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4957	1152
1	4957	1152

prune203.0ms

Filtered

76 candidates to 108 candidates (-42.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	108	6	114

Merged error: 0.0b

Counts

114 → 6

regimes1.5s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	41
1	44	41

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.1s	27762×	body	80	nan
767.0ms	9186×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

Details

sample199.0ms

simplify33.0ms

prune12.0ms

localize18.0ms

rewrite38.0ms

series103.0ms

simplify26.0ms

prune186.0ms

localize21.0ms

rewrite51.0ms

series118.0ms

simplify44.0ms

prune204.0ms

localize35.0ms

rewrite24.0ms

series123.0ms

simplify22.0ms

prune205.0ms

localize36.0ms

rewrite26.0ms

series112.0ms

simplify38.0ms

prune203.0ms

regimes1.5s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample6.0s

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