Details

analyze363.0ms

Algorithm: search

sample41.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
7.0ms	123×	body	80	nan

simplify54.0ms

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

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: 0.2b

Counts

2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (- a 0.5) (log t))
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.4b	(+ (log (+ x y)) (log z))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 80

Calls

3 calls:

6.0ms	(* (- a 0.5) (log t))
11.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
6.0ms	(+ (log (+ x y)) (log z))

series70.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(* (- a 0.5) (log t))
48.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
14.0ms	(+ (log (+ x y)) (log z))

simplify57.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	643	859
1	2361	801
2	5001	756

prune192.0ms

Filtered

64 candidates to 89 candidates (-39.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	80	9	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	9	90

Merged error: 0.0b

Counts

90 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- a 0.5) (log t))
0.1b	(+ (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t) (* (- a 0.5) (log t)))
0.3b	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
0.4b	(+ (log (+ x y)) (log (sqrt z)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

6.0ms	(* (- a 0.5) (log t))
18.0ms	(+ (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t) (* (- a 0.5) (log t)))
10.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
7.0ms	(+ (log (+ x y)) (log (sqrt z)))

series109.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (- a 0.5) (log t))
56.0ms	(+ (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t) (* (- a 0.5) (log t)))
22.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
22.0ms	(+ (log (+ x y)) (log (sqrt z)))

simplify77.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	841	1445
1	3188	1317
2	5002	1269

prune175.0ms

Filtered

87 candidates to 127 candidates (-46.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	126	10	136

Merged error: 0.0b

Counts

136 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (log (sqrt t)) (- a 0.5))
0.1b	(* (- a 0.5) (log (sqrt t)))
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (log (sqrt t)) (- a 0.5)))
0.4b	(+ (log (+ x y)) (log z))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

8.0ms	(* (log (sqrt t)) (- a 0.5))
7.0ms	(* (- a 0.5) (log (sqrt t)))
11.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (log (sqrt t)) (- a 0.5)))
6.0ms	(+ (log (+ x y)) (log z))

series84.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (log (sqrt t)) (- a 0.5))
6.0ms	(* (- a 0.5) (log (sqrt t)))
54.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (log (sqrt t)) (- a 0.5)))
13.0ms	(+ (log (+ x y)) (log z))

simplify64.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	673	1121
1	2668	1053
2	5001	1031

prune193.0ms

Filtered

90 candidates to 127 candidates (-41.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	125	2	127
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	127	10	137

Merged error: 0b

Counts

137 → 10

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)

series90.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt t) (cbrt t))
21.0ms	(cbrt t)
21.0ms	(cbrt t)
23.0ms	(cbrt t)

simplify83.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (77.0ms)

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

prune91.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	85	10	95

Merged error: 0b

Counts

95 → 10

regimes1.2s

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	22	13
1	22	13

end0.0ms

analyze356.0ms

Algorithm: search

sample1.2s

Algorithm

intervals

Results

564.0ms	8000×	body	80	valid
271.0ms	4217×	body	80	nan
2.0ms	30×	body	80	invalid

Details

analyze363.0ms

sample41.0ms

simplify54.0ms

prune5.0ms

localize14.0ms

rewrite29.0ms

series70.0ms

simplify57.0ms

prune192.0ms

localize17.0ms

rewrite45.0ms

series109.0ms

simplify77.0ms

prune175.0ms

localize18.0ms

rewrite37.0ms

series84.0ms

simplify64.0ms

prune193.0ms

localize22.0ms

rewrite11.0ms

series90.0ms

simplify83.0ms

prune91.0ms

regimes1.2s

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze356.0ms

sample1.2s

Profiling