Details

sample100.0ms

Algorithm

intervals

Results

42.0ms

527×

body

valid

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

prune14.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 6.1b

Counts

2 → 1

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
3.4b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.9b	(* (* (* x 18.0) y) z)

rewrite48.0ms

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:

10.0ms	(* (* x 18.0) y)
8.0ms	(* (* j 27.0) k)
14.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
11.0ms	(* (* (* 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)
24.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
9.0ms	(* (* (* x 18.0) y) z)

simplify61.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

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

prune210.0ms

Filtered

93 candidates to 53 candidates (43.0%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	82	11	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	11	94

Merged error: 2.2b

Counts

94 → 11

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 18.0 y))
0.2b	(* (* j 27.0) k)
3.4b	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
5.9b	(* (* 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	(* x (* 18.0 y))
4.0ms	(* (* j 27.0) k)
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	(* x (* 18.0 y))
3.0ms	(* (* j 27.0) k)
25.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
6.0ms	(* (* x (* 18.0 y)) z)

simplify57.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

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

prune232.0ms

Filtered

93 candidates to 49 candidates (47.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	3	7	10
Picked	0	1	1
Done	0	0	0
Total	95	9	104

Merged error: 2.2b

Counts

104 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* j (* 27.0 k))
0.2b	(* (* x 18.0) y)
3.4b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.9b	(* (* (* 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`
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:

5.0ms	(* 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)
26.0ms	(* 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	398	471
1	2030	392
2	5001	392

prune154.0ms

Filtered

93 candidates to 53 candidates (43.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	92	10	102

Merged error: 2.2b

Counts

102 → 10

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 18.0 y) z)
0.2b	(* (* j 27.0) k)
3.4b	(* t (- (* x (* (* 18.0 y) z)) (* a 4.0)))
4.8b	(* 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`
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:

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

series40.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* 18.0 y) z)
3.0ms	(* (* j 27.0) k)
26.0ms	(* 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	403	472
1	1980	393
2	5001	393

prune91.0ms

Filtered

93 candidates to 50 candidates (46.2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	1	6	7
Picked	0	1	1
Done	0	2	2
Total	93	10	103

Merged error: 2.2b

Counts

103 → 10

regimes2.2s

Accuracy

14.2% (3.2b remaining)

Error of 5.3b against oracle of 2.2b and baseline of 5.8b

bsearch105.0ms

Steps

Iters	Range		Point
9	1.1621030924440424e+17	2.333372336527058e+23	4.3027523010072914e+18
6	-4.178269220028938e-162	-4.314274048744387e-163	-2.1894615705691052e-162

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	39
1	80	39
2	83	39
3	83	39

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.3s

16182×

body

valid

Details

sample100.0ms

simplify147.0ms

prune14.0ms

localize25.0ms

rewrite48.0ms

series40.0ms

simplify61.0ms

prune210.0ms

localize20.0ms

rewrite25.0ms

series38.0ms

simplify57.0ms

prune232.0ms

localize20.0ms

rewrite26.0ms

series38.0ms

simplify60.0ms

prune154.0ms

localize21.0ms

rewrite26.0ms

series40.0ms

simplify60.0ms

prune91.0ms

regimes2.2s

bsearch105.0ms

simplify3.0ms

end0.0ms

sample2.8s

Profiling