Details

sample152.0ms

Algorithm

intervals

Results

61.0ms	835×	body	80	nan
28.0ms	293×	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

prune4.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 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))) (* y i))
0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.1b	(* (- b 0.5) (log c))
0.2b	(* x (log y))

rewrite46.0ms

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:

15.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
15.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
7.0ms	(* (- b 0.5) (log c))
5.0ms	(* x (log y))

series822.0ms

Counts

4 → 12

Calls

4 calls:

502.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
227.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
56.0ms	(* (- b 0.5) (log c))
36.0ms	(* x (log y))

simplify68.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	647	1027
1	2625	970
2	5001	954

prune348.0ms

Filtered

107 candidates to 75 candidates (70.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	100	7	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	7	108

Merged error: 0.0b

Counts

108 → 7

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (cbrt y)))
0.4b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
11.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series534.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(* x (log (cbrt y)))
102.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
171.0ms	(cbrt y)
174.0ms	(cbrt y)

simplify52.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	345	729
1	1431	634
2	5001	547

prune508.0ms

Filtered

114 candidates to 92 candidates (80.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	114	7	121

Merged error: 0.0b

Counts

121 → 7

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (cbrt y)))
0.4b	(+ (* x (* 2 (log (pow y 1/3)))) (* x (log (cbrt y))))
0.5b	(cbrt y)
4.9b	(pow y 1/3)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

52×	`log-prod`
40×	`distribute-rgt-in` `distribute-lft-in`
28×	`associate-+l+`
27×	`add-sqr-sqrt`
25×	`add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-prod` `unpow-prod-down`
12×	`associate-+r+`
8×	`pow1`
7×	`add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
5×	`associate-r` `sqr-pow`
3×	`pow-unpow` `associate-l`
2×	`pow1/3` `log-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `unpow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 113

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
11.0ms	(+ (* x (* 2 (log (pow y 1/3)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series572.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* x (log (cbrt y)))
136.0ms	(+ (* x (* 2 (log (pow y 1/3)))) (* x (log (cbrt y))))
172.0ms	(cbrt y)
173.0ms	(pow y 1/3)

simplify66.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	476	771
1	1845	671
2	5002	505

prune566.0ms

Filtered

125 candidates to 95 candidates (76.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	125	7	132

Merged error: 0.0b

Counts

132 → 7

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- b 0.5) (log c))
0.2b	(* x (log (pow (/ 1 y) -1/3)))
0.4b	(* 3 (* x (log (pow (/ 1 y) -1/3))))
4.9b	(pow (/ 1 y) -1/3)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

108×	`log-prod`
91×	`unpow-prod-down`
88×	`distribute-rgt-in` `distribute-lft-in`
73×	`add-sqr-sqrt`
69×	`*-un-lft-identity`
67×	`add-cube-cbrt`
63×	`times-frac`
18×	`add-exp-log`
16×	`pow1`
13×	`add-cbrt-cube`
11×	`associate-l`
9×	`associate-r`
7×	`div-inv` `sqr-pow`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`pow-exp` `add-log-exp`
3×	`pow-unpow` `pow-pow` `*-commutative`
2×	`div-exp` `associate-*l/` `log-pow` `unswap-sqr`
1×	`pow-to-exp` `rec-exp` `flip3--` `pow-flip` `1-exp` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 200

Calls

4 calls:

7.0ms	(* (- b 0.5) (log c))
8.0ms	(* x (log (pow (/ 1 y) -1/3)))
11.0ms	(* 3 (* x (log (pow (/ 1 y) -1/3))))
9.0ms	(pow (/ 1 y) -1/3)

series398.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (- b 0.5) (log c))
81.0ms	(* x (log (pow (/ 1 y) -1/3)))
86.0ms	(* 3 (* x (log (pow (/ 1 y) -1/3))))
171.0ms	(pow (/ 1 y) -1/3)

simplify90.0ms

Algorithm

egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	815	1818
1	3115	1489
2	5002	1414

prune489.0ms

Filtered

212 candidates to 95 candidates (44.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	211	1	212
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	212	7	219

Merged error: 0.0b

Counts

219 → 7

regimes559.0ms

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	39	17
1	39	17

end0.0ms

sample4.3s

Algorithm

intervals

Results

1.9s	28029×	body	80	nan
715.0ms	9210×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

Details

sample152.0ms

simplify71.0ms

prune4.0ms

localize18.0ms

rewrite46.0ms

series822.0ms

simplify68.0ms

prune348.0ms

localize27.0ms

rewrite24.0ms

series534.0ms

simplify52.0ms

prune508.0ms

localize37.0ms

rewrite26.0ms

series572.0ms

simplify66.0ms

prune566.0ms

localize27.0ms

rewrite46.0ms

series398.0ms

simplify90.0ms

prune489.0ms

regimes559.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.3s

Profiling