Details

sample196.0ms

Algorithm

intervals

Results

65.0ms	930×	body	80	nan
27.0ms	303×	body	80	valid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

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

series37.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ (+ (* x (log y)) z) t)
10.0ms	(+ (* x (log y)) z)
9.0ms	(* (- b 0.5) (log c))
7.0ms	(* x (log y))

simplify83.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4910	801
1	4910	801

prune166.0ms

Filtered

64 candidates to 97 candidates (-51.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	88	9	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	9	98

Merged error: 0.0b

Counts

98 → 9

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

18×	`log-prod`
16×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-prod` `associate-+r+`
9×	`distribute-rgt-in` `distribute-lft-in`
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 → 75

Calls

4 calls:

4.0ms	(* x (log y))
12.0ms	(+ (* (- b 0.5) (* (log (cbrt c)) 2)) (* (- b 0.5) (log (cbrt c))))
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series89.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* x (log y))
39.0ms	(+ (* (- b 0.5) (* (log (cbrt c)) 2)) (* (- b 0.5) (log (cbrt c))))
21.0ms	(cbrt c)
22.0ms	(cbrt c)

simplify46.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4961	782
1	4961	782

prune153.0ms

Filtered

62 candidates to 87 candidates (-40.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	89	7	96

Merged error: 0.0b

Counts

96 → 7

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (log (cbrt c)) 2) (log (cbrt (sqrt c))))
0.5b	(cbrt (sqrt c))
0.5b	(cbrt (sqrt c))
0.6b	(cbrt c)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`associate-+r+` `log-prod` `sqrt-prod`
5×	`add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow1/3`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 59

Calls

4 calls:

6.0ms	(+ (* (log (cbrt c)) 2) (log (cbrt (sqrt c))))
2.0ms	(cbrt (sqrt c))
2.0ms	(cbrt (sqrt c))
1.0ms	(cbrt c)

series103.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ (* (log (cbrt c)) 2) (log (cbrt (sqrt c))))
17.0ms	(cbrt (sqrt c))
15.0ms	(cbrt (sqrt c))
21.0ms	(cbrt c)

simplify47.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5003	539

prune133.0ms

Filtered

51 candidates to 71 candidates (-39.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	71	7	78

Merged error: 0.0b

Counts

78 → 7

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt c)
0.6b	(cbrt c)
0.6b	(cbrt c)
0.6b	(cbrt (pow (cbrt c) 2))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
1×	`unpow2` `sqr-pow`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt c)
1.0ms	(cbrt c)
1.0ms	(cbrt c)
3.0ms	(cbrt (pow (cbrt c) 2))

series98.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt c)
21.0ms	(cbrt c)
21.0ms	(cbrt c)
35.0ms	(cbrt (pow (cbrt c) 2))

simplify53.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4831	288
1	4831	288

prune113.0ms

Filtered

47 candidates to 64 candidates (-36.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	64	7	71

Merged error: 0.0b

Counts

71 → 7

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	41	38
1	41	38

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.0s	27427×	body	80	nan
753.0ms	9166×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

Details

sample196.0ms

simplify39.0ms

prune12.0ms

localize18.0ms

rewrite26.0ms

series37.0ms

simplify83.0ms

prune166.0ms

localize23.0ms

rewrite21.0ms

series89.0ms

simplify46.0ms

prune153.0ms

localize29.0ms

rewrite12.0ms

series103.0ms

simplify47.0ms

prune133.0ms

localize33.0ms

rewrite7.0ms

series98.0ms

simplify53.0ms

prune113.0ms

regimes1.5s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample5.6s

Profiling