Details

analyze580.0ms

Algorithm

sampling

Space saved by range analysis: 0.195169%

Space saved by search: 74.463998%

Guaranteed chance to sample good point: 67.748092%

sample24.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
0.0ms	7×	body	80	nan

simplify29.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	6
1	48	6
2	118	6
3	247	6
4	525	6
5	732	6
6	937	6
7	1108	6
8	1128	6
9	1128	6

prune4.0ms

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

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (- (* x (log y)) y) z) (log t))
0.0b	(- (- (* x (log y)) y) z)
0.0b	(- (* x (log y)) y)
0.2b	(* x (log y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

34×	`associate--l+`
27×	`log-prod`
25×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
17×	`add-log-exp`
15×	`add-cube-cbrt`
12×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-+l+`
9×	`pow1`
7×	`diff-log`
6×	`add-exp-log` `add-cbrt-cube`
5×	`sub-neg`
4×	`associate-r` `distribute-lft-out`
3×	`associate-+r+` `associate-l` `sum-log` `log-pow` `distribute-lft-out--`
2×	`flip3--` `flip--`
1×	`+-commutative` `associate--l-` `associate-+l-` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `difference-of-squares` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

12.0ms	(+ (- (- (* x (log y)) y) z) (log t))
7.0ms	(- (- (* x (log y)) y) z)
4.0ms	(- (* x (log y)) y)
5.0ms	(* x (log y))

series39.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(+ (- (- (* x (log y)) y) z) (log t))
9.0ms	(- (- (* x (log y)) y) z)
10.0ms	(- (* x (log y)) y)
7.0ms	(* x (log y))

simplify89.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	403	637
1	1259	592
2	4208	548
3	5002	548

prune108.0ms

Filtered

76 candidates to 110 candidates (-44.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	105	5	110
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	105	6	111

Merged error: 0.0b

Counts

111 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (* 2 (log (cbrt y))))
0.3b	(* x (log (cbrt y)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-r` `associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 96

Calls

4 calls:

6.0ms	(* x (* 2 (log (cbrt y))))
5.0ms	(* x (log (cbrt y)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series85.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* x (* 2 (log (cbrt y))))
22.0ms	(* x (log (cbrt y)))
21.0ms	(cbrt y)
22.0ms	(cbrt y)

simplify93.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	317	680
1	1171	607
2	4308	566
3	5001	542

prune105.0ms

Filtered

62 candidates to 108 candidates (-74.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	107	7	114

Merged error: 0.0b

Counts

114 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (* 2 (log (cbrt y))))
0.3b	(* x (log (pow y 1/3)))
0.6b	(cbrt y)
5.1b	(pow y 1/3)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

38×	`log-prod`
31×	`distribute-rgt-in` `distribute-lft-in`
24×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-prod`
12×	`pow1` `add-exp-log`
11×	`add-cbrt-cube`
9×	`unpow-prod-down`
6×	`associate-l`
5×	`associate-r`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow-unpow` `sqr-pow`
2×	`*-commutative`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow1/3` `pow-exp` `log-pow` `unswap-sqr`

Counts

4 → 104

Calls

4 calls:

6.0ms	(* x (* 2 (log (cbrt y))))
5.0ms	(* x (log (pow y 1/3)))
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series80.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* x (* 2 (log (cbrt y))))
16.0ms	(* x (log (pow y 1/3)))
21.0ms	(cbrt y)
22.0ms	(pow y 1/3)

simplify52.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	411	686
1	1736	540
2	5001	475

prune133.0ms

Filtered

58 candidates to 116 candidates (-100.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	117	6	123

Merged error: 0b

Counts

123 → 6

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
1.0b	(* (cbrt 1/3) (cbrt 1/3))
4.0b	(pow y (* (cbrt 1/3) (cbrt 1/3)))
5.3b	(pow (pow y (* (cbrt 1/3) (cbrt 1/3))) (cbrt 1/3))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`cbrt-prod`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`unpow-prod-down`
12×	`pow1`
9×	`add-exp-log`
7×	`pow-unpow` `pow1/3`
6×	`swap-sqr` `associate-r` `associate-l`
5×	`pow-exp`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`pow-to-exp` `sqr-pow`
2×	`pow-pow` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 92

Calls

4 calls:

1.0ms	(cbrt y)
6.0ms	(* (cbrt 1/3) (cbrt 1/3))
2.0ms	(pow y (* (cbrt 1/3) (cbrt 1/3)))
4.0ms	(pow (pow y (* (cbrt 1/3) (cbrt 1/3))) (cbrt 1/3))

series108.0ms

Counts

4 → 10

Calls

4 calls:

21.0ms	(cbrt y)
0.0ms	(* (cbrt 1/3) (cbrt 1/3))
28.0ms	(pow y (* (cbrt 1/3) (cbrt 1/3)))
59.0ms	(pow (pow y (* (cbrt 1/3) (cbrt 1/3))) (cbrt 1/3))

simplify38.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	272	590
1	1102	544
2	5001	459

prune211.0ms

Filtered

66 candidates to 102 candidates (-54.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	102	6	108

Merged error: 0b

Counts

108 → 6

regimes548.0ms

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	12	6
1	12	6

end0.0ms

analyze569.0ms

Algorithm

sampling

Space saved by range analysis: 0.195169%

Space saved by search: 74.463998%

Guaranteed chance to sample good point: 67.748092%

sample638.0ms

Algorithm

intervals

Results

421.0ms	7998×	body	80	valid
9.0ms	230×	body	80	nan
1.0ms	23×	body	80	invalid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid

Details

analyze580.0ms

sample24.0ms

simplify29.0ms

prune4.0ms

localize13.0ms

rewrite31.0ms

series39.0ms

simplify89.0ms

prune108.0ms

localize17.0ms

rewrite17.0ms

series85.0ms

simplify93.0ms

prune105.0ms

localize23.0ms

rewrite19.0ms

series80.0ms

simplify52.0ms

prune133.0ms

localize31.0ms

rewrite18.0ms

series108.0ms

simplify38.0ms

prune211.0ms

regimes548.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze569.0ms

sample638.0ms

Profiling