Details

analyze2.4s

Algorithm

sampling

Space saved by range analysis: 0.292611%

Space saved by search: 47.03045%

Guaranteed chance to sample good point: 10.512408%

sample35.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
2.0ms	37×	body	80	invalid
1.0ms	20×	body	80	nan

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	30	8
1	85	8
2	273	8
3	800	8
4	2123	8
5	5001	8

prune5.0ms

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

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-log-exp`
15×	`*-un-lft-identity`
13×	`sum-log`
12×	`add-sqr-sqrt` `log-prod`
10×	`add-cube-cbrt`
7×	`pow1`
6×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `diff-log` `add-cbrt-cube` `associate--r+`
5×	`flip3--` `flip--`
4×	`associate-+l+` `associate-r` `associate-*l/` `frac-add`
3×	`associate-l` `distribute-lft-out`
2×	`+-commutative` `sub-neg` `flip3-+` `associate--l+` `flip-+`
1×	`associate-+l-` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

5.0ms	(+ (+ x y) z)
11.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
8.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series65.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ (+ x y) z)
39.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
11.0ms	(- (+ (+ x y) z) (* z (log t)))
7.0ms	(* z (log t))

simplify68.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	552	756
1	2539	703
2	5001	691

prune168.0ms

Filtered

66 candidates to 95 candidates (-43.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	85	10	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	10	96

Merged error: 0b

Counts

96 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-log-exp`
24×	`frac-add`
17×	`sum-log`
15×	`*-un-lft-identity`
13×	`flip3--` `flip--`
12×	`add-sqr-sqrt` `log-prod` `associate-*l/`
10×	`add-cube-cbrt` `flip3-+` `flip-+`
7×	`pow1`
6×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `associate--r+`
5×	`diff-log`
4×	`associate-r`
3×	`associate-l` `distribute-lft-out`
2×	`+-commutative` `associate-+r-` `sub-neg` `associate-+l+` `associate-+r+`
1×	`associate-+l-` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

7.0ms	(+ (+ x y) (- z (* z (log t))))
11.0ms	(+ (+ (+ x y) (- z (* z (log t)))) (* (- a 0.5) b))
3.0ms	(- z (* z (log t)))
4.0ms	(* z (log t))

series66.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ (+ x y) (- z (* z (log t))))
40.0ms	(+ (+ (+ x y) (- z (* z (log t)))) (* (- a 0.5) b))
8.0ms	(- z (* z (log t)))
7.0ms	(* z (log t))

simplify102.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	890	1345
1	4452	1306
2	5001	1276

prune156.0ms

Filtered

75 candidates to 108 candidates (-44.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	108	10	118

Merged error: 0b

Counts

118 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt t) (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series91.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt t) (cbrt t))
21.0ms	(cbrt t)
23.0ms	(cbrt t)
22.0ms	(cbrt t)

simplify71.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	148	349
1	471	322
2	2276	265
3	5002	252

prune130.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	85	10	95

Merged error: 0b

Counts

95 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (log t))) (cbrt (* z (log t))))
0.6b	(cbrt (* z (log t)))
0.6b	(cbrt (* z (log t)))
0.6b	(cbrt (* z (log t)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

5.0ms	(* (cbrt (* z (log t))) (cbrt (* z (log t))))
2.0ms	(cbrt (* z (log t)))
2.0ms	(cbrt (* z (log t)))
2.0ms	(cbrt (* z (log t)))

series96.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (cbrt (* z (log t))) (cbrt (* z (log t))))
23.0ms	(cbrt (* z (log t)))
21.0ms	(cbrt (* z (log t)))
21.0ms	(cbrt (* z (log t)))

simplify80.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (74.0ms)

Iter	Nodes	Cost
0	192	460
1	604	401
2	2705	347
3	5001	321

prune72.0ms

Filtered

49 candidates to 70 candidates (-42.9%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	70	10	80

Merged error: 0b

Counts

80 → 10

regimes1.4s

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	20	8
1	20	8

end0.0ms

analyze2.4s

Algorithm

sampling

Space saved by range analysis: 0.292611%

Space saved by search: 47.03045%

Guaranteed chance to sample good point: 10.512408%

sample913.0ms

Algorithm

intervals

Results

466.0ms	7994×	body	80	valid
69.0ms	1205×	body	80	invalid
28.0ms	583×	body	80	nan
1.0ms	3×	body	640	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

Details

analyze2.4s

sample35.0ms

simplify51.0ms

prune5.0ms

localize17.0ms

rewrite32.0ms

series65.0ms

simplify68.0ms

prune168.0ms

localize12.0ms

rewrite30.0ms

series66.0ms

simplify102.0ms

prune156.0ms

localize19.0ms

rewrite11.0ms

series91.0ms

simplify71.0ms

prune130.0ms

localize16.0ms

rewrite14.0ms

series96.0ms

simplify80.0ms

prune72.0ms

regimes1.4s

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze2.4s

sample913.0ms

Profiling