Details

sample2.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 37.5%

Guaranteed chance to sample good point: 22.96875%

Results

14.0ms	256×	body	80	valid
14.0ms	231×	body	80	nan
3.0ms	49×	body	80	invalid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

6.0ms	(* (- a 0.5) b)
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))

series64.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- a 0.5) b)
42.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
11.0ms	(- (+ (+ x y) z) (* z (log t)))
7.0ms	(* z (log t))

simplify74.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	557	780
1	2647	719
2	5002	707

prune142.0ms

Filtered

72 candidates to 102 candidates (-41.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	97	5	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	5	103

Merged error: 0.0b

Counts

103 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ x y) (- z (* z (log t)))) (* (- a 0.5) b))
0.0b	(+ (+ x y) (- z (* z (log t))))
0.2b	(- z (* z (log t)))
0.2b	(* z (log t))

rewrite29.0ms

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:

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

series64.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify109.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (94.0ms)

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

prune146.0ms

Filtered

75 candidates to 108 candidates (-44.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	108	5	113

Merged error: 0.0b

Counts

113 → 5

localize22.0ms

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:

5.0ms	(* (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))
24.0ms	(cbrt t)
21.0ms	(cbrt t)
21.0ms	(cbrt t)

simplify78.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (72.0ms)

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

prune112.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	84	6	90

Merged error: 0.0b

Counts

90 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (log t)) (cbrt (log t)))
0.5b	(cbrt (log t))
0.5b	(cbrt (log t))
0.5b	(cbrt (log t))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
23×	`add-sqr-sqrt`
20×	`pow1`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`pow1/3` `swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
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 → 81

Calls

4 calls:

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

series143.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (cbrt (log t)) (cbrt (log t)))
35.0ms	(cbrt (log t))
33.0ms	(cbrt (log t))
36.0ms	(cbrt (log t))

simplify63.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (56.0ms)

Iter	Nodes	Cost
0	127	502
1	388	461
2	1756	389
3	5001	367

prune76.0ms

Filtered

52 candidates to 93 candidates (-78.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	2	1	3
Picked	0	1	1
Done	0	2	2
Total	94	5	99

Merged error: 0.0b

Counts

99 → 5

regimes982.0ms

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	20	8
1	20	8

end0.0ms

sample4.4s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 37.5%

Guaranteed chance to sample good point: 22.96875%

Results

464.0ms	7997×	body	80	valid
294.0ms	5941×	body	80	nan
65.0ms	1169×	body	80	invalid
0.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid

Details

sample2.7s

simplify52.0ms

prune5.0ms

localize13.0ms

rewrite32.0ms

series64.0ms

simplify74.0ms

prune142.0ms

localize13.0ms

rewrite29.0ms

series64.0ms

simplify109.0ms

prune146.0ms

localize22.0ms

rewrite11.0ms

series91.0ms

simplify78.0ms

prune112.0ms

localize16.0ms

rewrite12.0ms

series143.0ms

simplify63.0ms

prune76.0ms

regimes982.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.4s

Profiling