Details

sample133.0ms

Algorithm

intervals

Results

44.0ms	802×	body	80	nan
11.0ms	183×	body	80	valid
9.0ms	14×	body	1280	valid
8.0ms	23×	body	640	valid
5.0ms	22×	body	320	valid
2.0ms	16×	body	160	valid

simplify5.0ms

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: 8.4b

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))
5.4b	(log (- 1.0 y))

rewrite23.0ms

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:

6.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
7.0ms	(* z (log (- 1.0 y)))
4.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

series39.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
8.0ms	(* z (log (- 1.0 y)))
9.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

simplify35.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5274	983

prune159.0ms

Filtered

69 candidates to 98 candidates (-42.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	92	6	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	6	99

Merged error: 0.0b

Counts

99 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

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:

5.0ms	(+ (* x (log y)) (* z (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y)))))
9.0ms	(* (* (/ y 1.0) (/ y 1.0)) -1/2)
12.0ms	(* z (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y))))
4.0ms	(* x (log y))

series47.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (* x (log y)) (* z (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y)))))
3.0ms	(* (* (/ y 1.0) (/ y 1.0)) -1/2)
14.0ms	(* z (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y))))
7.0ms	(* x (log y))

simplify82.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4985	1501
1	4985	1501

prune165.0ms

Filtered

71 candidates to 108 candidates (-52.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	108	6	114

Merged error: 0.0b

Counts

114 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)
5.4b	(log (- 1.0 y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

17×	`log-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`cbrt-prod` `associate-+r+`
11×	`add-cube-cbrt`
6×	`distribute-rgt-in` `distribute-lft-in` `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 → 62

Calls

4 calls:

7.0ms	(+ (* x (* (log (cbrt y)) 2)) (* 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:

23.0ms	(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
21.0ms	(cbrt y)
21.0ms	(cbrt y)
3.0ms	(log (- 1.0 y))

simplify28.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4936	524
1	4936	524

prune122.0ms

Filtered

57 candidates to 74 candidates (-29.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	73	7	80

Merged error: 0.0b

Counts

80 → 7

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* x (* (log (cbrt y)) 2)) (* x (log (pow y 1/3))))
0.6b	(cbrt y)
5.0b	(pow y 1/3)
5.4b	(log (- 1.0 y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

19×	`log-prod`
14×	`add-sqr-sqrt` `associate-+r+` `*-un-lft-identity`
12×	`add-cube-cbrt`
9×	`unpow-prod-down`
7×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1` `add-exp-log` `add-log-exp`
4×	`add-cbrt-cube`
3×	`cbrt-prod` `pow-unpow` `sqr-pow`
2×	`log-div`
1×	`+-commutative` `pow-to-exp` `flip3--` `pow-pow` `flip3-+` `unpow1/3` `pow1/3` `rem-log-exp` `pow-exp` `sum-log` `log-pow` `flip--` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 71

Calls

4 calls:

8.0ms	(+ (* x (* (log (cbrt y)) 2)) (* x (log (pow y 1/3))))
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)
3.0ms	(log (- 1.0 y))

series75.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (* x (* (log (cbrt y)) 2)) (* x (log (pow y 1/3))))
23.0ms	(cbrt y)
20.0ms	(pow y 1/3)
3.0ms	(log (- 1.0 y))

simplify51.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5124	491

prune129.0ms

Filtered

60 candidates to 83 candidates (-38.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	83	7	90

Merged error: 0.0b

Counts

90 → 7

regimes299.0ms

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	24	25
1	24	25

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.3s	24122×	body	80	nan
347.0ms	5592×	body	80	valid
296.0ms	858×	body	640	valid
262.0ms	398×	body	1280	valid
157.0ms	751×	body	320	valid
58.0ms	430×	body	160	valid

Details

sample133.0ms

simplify5.0ms

prune8.0ms

localize11.0ms

rewrite23.0ms

series39.0ms

simplify35.0ms

prune159.0ms

localize16.0ms

rewrite35.0ms

series47.0ms

simplify82.0ms

prune165.0ms

localize19.0ms

rewrite14.0ms

series68.0ms

simplify28.0ms

prune122.0ms

localize25.0ms

rewrite16.0ms

series75.0ms

simplify51.0ms

prune129.0ms

regimes299.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.9s

Profiling