Details

analyze2.3s

Algorithm: search

sample79.0ms

Algorithm

intervals

Results

21.0ms	256×	body	80	valid
19.0ms	241×	body	80	invalid

simplify147.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	66	15
1	204	14
2	631	14
3	1468	14
4	2464	14
5	3909	14
6	5001	14

prune23.0ms

Filtered

1 candidates to 1 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: 4.7b

Counts

2 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
2.2b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.9b	(* (* (* x 18.0) y) z)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

5.0ms	(* (* x 18.0) y)
4.0ms	(* (* j 27.0) k)
8.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
7.0ms	(* (* (* x 18.0) y) z)

series39.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* x 18.0) y)
3.0ms	(* (* j 27.0) k)
26.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
6.0ms	(* (* (* x 18.0) y) z)

simplify67.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	406	472
1	2141	393
2	5001	393

prune229.0ms

Filtered

53 candidates to 93 candidates (-75.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	81	12	93
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	82	13	95

Merged error: 1.3b

Counts

95 → 13

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 18.0 y))
0.2b	(* (* j 27.0) k)
2.2b	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
4.9b	(* (* x (* 18.0 y)) z)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
10×	`associate-r`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-l`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

4.0ms	(* x (* 18.0 y))
5.0ms	(* (* j 27.0) k)
8.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
7.0ms	(* (* x (* 18.0 y)) z)

series40.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* x (* 18.0 y))
3.0ms	(* (* j 27.0) k)
27.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
6.0ms	(* (* x (* 18.0 y)) z)

simplify60.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	404	472
1	1945	393
2	5002	393

prune172.0ms

Filtered

50 candidates to 93 candidates (-86.0%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	1	11	12
Picked	0	1	1
Done	0	0	0
Total	93	13	106

Merged error: 1.3b

Counts

106 → 13

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
4.2b	(* (* (* (* x 18.0) y) z) t)
4.9b	(* (* (* x 18.0) y) z)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-l` `*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (* x 18.0) y)
4.0ms	(* (* j 27.0) k)
9.0ms	(* (* (* (* x 18.0) y) z) t)
6.0ms	(* (* (* x 18.0) y) z)

series23.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* x 18.0) y)
3.0ms	(* (* j 27.0) k)
10.0ms	(* (* (* (* x 18.0) y) z) t)
6.0ms	(* (* (* x 18.0) y) z)

simplify63.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	360	423
1	2133	320
2	5001	320

prune155.0ms

Filtered

46 candidates to 93 candidates (-102.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	1	10	11
Picked	1	0	1
Done	0	1	1
Total	94	12	106

Merged error: 0.5b

Counts

106 → 12

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* j (* 27.0 k))
0.2b	(* (* x 18.0) y)
2.2b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.9b	(* (* (* x 18.0) y) z)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
10×	`associate-r`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-l`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

4.0ms	(* j (* 27.0 k))
5.0ms	(* (* x 18.0) y)
8.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
6.0ms	(* (* (* x 18.0) y) z)

series38.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* j (* 27.0 k))
3.0ms	(* (* x 18.0) y)
24.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
8.0ms	(* (* (* x 18.0) y) z)

simplify59.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	398	471
1	2030	392
2	5001	392

prune99.0ms

Filtered

53 candidates to 93 candidates (-75.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	89	4	93
Fresh	3	7	10
Picked	1	0	1
Done	0	1	1
Total	93	12	105

Merged error: 0.5b

Counts

105 → 12

regimes2.4s

Accuracy

31.1% (3.5b remaining)

Error of 4.3b against oracle of 0.8b and baseline of 5.9b

bsearch9.3s

Steps

Iters	Range		Point
6	9.865962494326722e-94	1.3863424586252737e-92	2.0367713353273765e-93
9	-8.148706995302384e+46	-3.799188897354884e+40	-7.238917624547889e+41

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	82	44
1	82	44

end0.0ms

analyze2.1s

Algorithm: search

sample2.2s

Algorithm

intervals

Results

722.0ms	8268×	body	80	invalid
679.0ms	8000×	body	80	valid

Details

analyze2.3s

sample79.0ms

simplify147.0ms

prune23.0ms

localize20.0ms

rewrite26.0ms

series39.0ms

simplify67.0ms

prune229.0ms

localize21.0ms

rewrite27.0ms

series40.0ms

simplify60.0ms

prune172.0ms

localize21.0ms

rewrite29.0ms

series23.0ms

simplify63.0ms

prune155.0ms

localize20.0ms

rewrite25.0ms

series38.0ms

simplify59.0ms

prune99.0ms

regimes2.4s

bsearch9.3s

simplify2.0ms

end0.0ms

analyze2.1s

sample2.2s

Profiling