Details

sample14.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 46.875%

Guaranteed chance to sample good point: 10.512408%

Results

18.0ms	256×	body	80	valid
2.0ms	37×	body	80	invalid
1.0ms	13×	body	80	nan

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)))
0.3b	(* z (log t))

rewrite33.0ms

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))
9.0ms	(- (+ (+ 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)
39.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
14.0ms	(- (+ (+ x y) z) (* z (log t)))
7.0ms	(* z (log t))

simplify72.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (63.0ms)

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

prune152.0ms

Filtered

72 candidates to 102 candidates (-41.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	94	8	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	8	103

Merged error: 0.0b

Counts

103 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (+ (+ x y) z) (* (log (sqrt t)) z))
0.1b	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
0.3b	(* (log (sqrt t)) z)
0.3b	(* z (log (sqrt t)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-log-exp`
24×	`log-prod`
20×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1` `distribute-rgt-in` `distribute-lft-in` `sqrt-prod` `associate--r+`
10×	`diff-log`
9×	`associate-r` `associate-l`
8×	`add-exp-log` `add-cbrt-cube`
6×	`sum-log` `log-pow`
5×	`associate--l+`
3×	`sub-neg`
2×	`flip3--` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`associate--l-`

Counts

4 → 100

Calls

4 calls:

9.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
11.0ms	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
4.0ms	(* (log (sqrt t)) z)
5.0ms	(* z (log (sqrt t)))

series49.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
15.0ms	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
12.0ms	(* (log (sqrt t)) z)
10.0ms	(* z (log (sqrt t)))

simplify58.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	435	919
1	2083	813
2	5001	784

prune141.0ms

Filtered

75 candidates to 112 candidates (-49.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	112	8	120

Merged error: 0b

Counts

120 → 8

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

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:

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

series93.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt t)
22.0ms	(cbrt t)
22.0ms	(cbrt t)
27.0ms	(* (cbrt t) (cbrt t))

simplify74.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	148	349
1	479	322
2	2283	265
3	5001	252

prune134.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	85	8	93

Merged error: 0b

Counts

93 → 8

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (+ z y) (* z (+ (log (sqrt t)) (log (sqrt (sqrt t))))))
0.3b	(* z (+ (log (sqrt t)) (log (sqrt (sqrt t)))))
0.3b	(* z (log (sqrt (sqrt t))))
0.3b	(+ (log (sqrt t)) (log (sqrt (sqrt t))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

53×	`log-pow`
41×	`pow1`
33×	`log-prod`
31×	`*-un-lft-identity`
30×	`sqrt-pow1` `sqrt-prod`
27×	`associate-r`
23×	`add-sqr-sqrt`
20×	`pow1/2`
19×	`add-cube-cbrt`
16×	`distribute-rgt-out`
12×	`distribute-lft-out`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`associate-+r+` `add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-+l+` `flip3-+` `associate-r/` `associate-l*` `flip-+`
4×	`distribute-rgt1-in` `frac-sub`
2×	`diff-log` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `associate--r+` `unswap-sqr`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

4 → 141

Calls

4 calls:

6.0ms	(- (+ z y) (* z (+ (log (sqrt t)) (log (sqrt (sqrt t))))))
13.0ms	(* z (+ (log (sqrt t)) (log (sqrt (sqrt t)))))
6.0ms	(* z (log (sqrt (sqrt t))))
9.0ms	(+ (log (sqrt t)) (log (sqrt (sqrt t))))

series75.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(- (+ z y) (* z (+ (log (sqrt t)) (log (sqrt (sqrt t))))))
23.0ms	(* z (+ (log (sqrt t)) (log (sqrt (sqrt t)))))
14.0ms	(* z (log (sqrt (sqrt t))))
11.0ms	(+ (log (sqrt t)) (log (sqrt (sqrt t))))

simplify86.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	717	1346
1	3138	1254
2	5001	1210

prune144.0ms

Filtered

96 candidates to 153 candidates (-59.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	1	4	5
Picked	1	0	1
Done	0	2	2
Total	154	7	161

Merged error: 0b

Counts

161 → 7

regimes1.3s

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	17
1	28	17

end0.0ms

sample16.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 46.875%

Guaranteed chance to sample good point: 10.512408%

Results

482.0ms	7993×	body	80	valid
72.0ms	1199×	body	80	invalid
26.0ms	521×	body	80	nan
1.0ms	4×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

Details

sample14.7s

simplify52.0ms

prune5.0ms

localize13.0ms

rewrite33.0ms

series64.0ms

simplify72.0ms

prune152.0ms

localize17.0ms

rewrite34.0ms

series49.0ms

simplify58.0ms

prune141.0ms

localize28.0ms

rewrite12.0ms

series93.0ms

simplify74.0ms

prune134.0ms

localize22.0ms

rewrite40.0ms

series75.0ms

simplify86.0ms

prune144.0ms

regimes1.3s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample16.7s

Profiling