Details

sample205.0ms

Algorithm

intervals

Results

117.0ms	1710×	body	80	nan
20.0ms	257×	body	80	valid

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	9
1	59	9
2	153	9
3	360	9
4	813	9
5	1639	9
6	3143	9
7	5001	9

prune3.0ms

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: 0.2b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

8.0ms	(- (+ (log (+ x y)) (log z)) t)
12.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
7.0ms	(* (- a 0.5) (log t))
7.0ms	(+ (log (+ x y)) (log z))

series503.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(- (+ (log (+ x y)) (log z)) t)
199.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
62.0ms	(* (- a 0.5) (log t))
73.0ms	(+ (log (+ x y)) (log z))

simplify59.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	618	1003
1	2230	940
2	5001	924

prune374.0ms

Filtered

114 candidates to 80 candidates (70.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	104	10	114
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	10	115

Merged error: 0.0b

Counts

115 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

4.0ms	(- (log z) t)
11.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
12.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
7.0ms	(* (- a 0.5) (log t))

series411.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(- (log z) t)
206.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
91.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
56.0ms	(* (- a 0.5) (log t))

simplify60.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	643	915
1	2283	856
2	5001	845

prune353.0ms

Filtered

110 candidates to 81 candidates (73.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	110	10	120

Merged error: 0.0b

Counts

120 → 10

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (log (+ x y)) (log (+ x y)))
0.6b	(- (log z) (log (+ x y)))
0.7b	(pow (log z) 3)
0.8b	(pow (log (+ x y)) 3)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
27×	`pow1`
22×	`add-sqr-sqrt`
18×	`add-cube-cbrt`
15×	`log-prod`
14×	`log-pow`
8×	`add-exp-log` `unpow-prod-down` `cube-prod` `add-cbrt-cube`
6×	`pow-unpow` `swap-sqr`
4×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `associate-l` `associate--r+` `distribute-lft-out--` `add-log-exp`
3×	`associate--l+` `distribute-lft-out`
2×	`cube-mult` `pow-to-exp` `log-div` `pow-pow` `unpow3` `pow-exp` `associate--r-` `rem-cube-cbrt` `sqr-pow`
1×	`pow2` `sub-neg` `flip3--` `flip3-+` `pow-plus` `diff-log` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `flip--` `cbrt-unprod` `flip-+` `difference-of-squares` `unswap-sqr`

Counts

4 → 114

Calls

4 calls:

7.0ms	(* (log (+ x y)) (log (+ x y)))
7.0ms	(- (log z) (log (+ x y)))
2.0ms	(pow (log z) 3)
3.0ms	(pow (log (+ x y)) 3)

series750.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(* (log (+ x y)) (log (+ x y)))
77.0ms	(- (log z) (log (+ x y)))
178.0ms	(pow (log z) 3)
319.0ms	(pow (log (+ x y)) 3)

simplify65.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	346	605
1	1729	516
2	5002	483

prune385.0ms

Filtered

126 candidates to 68 candidates (54.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	126	10	136

Merged error: 0.0b

Counts

136 → 10

localize21.0ms

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)

series745.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(* (cbrt t) (cbrt t))
176.0ms	(cbrt t)
184.0ms	(cbrt t)
185.0ms	(cbrt t)

simplify87.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune301.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	2	5	7
Picked	0	1	1
Done	0	2	2
Total	86	9	95

Merged error: 0b

Counts

95 → 9

regimes591.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	9
1	19	9

end0.0ms

sample6.4s

Algorithm

intervals

Results

3.8s	56112×	body	80	nan
625.0ms	8031×	body	80	valid

Details

sample205.0ms

simplify57.0ms

prune3.0ms

localize15.0ms

rewrite37.0ms

series503.0ms

simplify59.0ms

prune374.0ms

localize15.0ms

rewrite38.0ms

series411.0ms

simplify60.0ms

prune353.0ms

localize25.0ms

rewrite23.0ms

series750.0ms

simplify65.0ms

prune385.0ms

localize21.0ms

rewrite11.0ms

series745.0ms

simplify87.0ms

prune301.0ms

regimes591.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample6.4s

Profiling