Details

sample41.0ms

Algorithm

intervals

Results

19.0ms

256×

body

valid

simplify40.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	18
1	138	18
2	450	18
3	1597	18
4	5001	18

prune11.0ms

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: 26.9b

Counts

2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x)
0.1b	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
0.1b	(* (+ (* x 4.16438922228) 78.6994924154) x)
26.0b	(/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1`
9×	`associate-r` `associate-l`
8×	`associate-*l/` `associate-/l/`
7×	`flip3-+` `flip-+`
4×	`frac-times` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`flip3--` `times-frac` `pow-prod-down` `associate-/r` `-commutative` `flip--` `unswap-sqr`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `associate-/r/`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 91

Calls

4 calls:

11.0ms	(* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x)
10.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
7.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
28.0ms	(/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

series392.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x)
48.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
66.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
231.0ms	(/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

simplify84.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	663	1251
1	3276	1097
2	5002	1097

prune579.0ms

Filtered

103 candidates to 76 candidates (73.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	95	8	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	8	104

Merged error: 0.0b

Counts

104 → 8

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
0.1b	(* (+ (* x 4.16438922228) 78.6994924154) x)
0.3b	(/ (- x 2.0) (/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)))
24.6b	(/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
110×	`add-sqr-sqrt`
106×	`*-un-lft-identity`
74×	`add-cube-cbrt`
18×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
15×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
10×	`flip3-+` `flip-+`
8×	`pow1` `div-inv` `associate-/l*`
6×	`associate-r` `associate-l`
4×	`cbrt-undiv` `div-exp` `associate-*l/` `associate-/l/` `add-log-exp`
2×	`frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3--` `div-sub` `flip--`

Counts

4 → 184

Calls

4 calls:

9.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
6.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
26.0ms	(/ (- x 2.0) (/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)))
25.0ms	(/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))

series480.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
62.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
241.0ms	(/ (- x 2.0) (/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)))
130.0ms	(/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))

simplify132.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	969	4940
1	4219	4722
2	5002	4722

prune1.0s

Filtered

196 candidates to 143 candidates (73.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	195	1	196
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	196	8	204

Merged error: 0.0b

Counts

204 → 8

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
0.1b	(* (+ (* x 4.16438922228) 78.6994924154) x)
3.0b	(/ (- x 2.0) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
24.7b	(* (/ (- x 2.0) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
31×	`times-frac`
28×	`add-cube-cbrt`
27×	`associate-l`
15×	`add-exp-log` `add-cbrt-cube`
10×	`pow1`
9×	`associate-r`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`flip3-+` `flip-+`
5×	`associate-l/` `associate-/l`
4×	`prod-exp` `associate-/r/` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `associate-/r` `-commutative`
2×	`cbrt-undiv` `frac-times` `associate-*r/` `div-exp` `div-inv` `associate-/l/`
1×	`distribute-rgt-in` `flip3--` `frac-2neg` `distribute-lft-in` `div-sub` `clear-num` `flip--`

Counts

4 → 126

Calls

4 calls:

9.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
6.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
14.0ms	(/ (- x 2.0) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
34.0ms	(* (/ (- x 2.0) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))

series432.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
63.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
74.0ms	(/ (- x 2.0) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
245.0ms	(* (/ (- x 2.0) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))

simplify98.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	854	2055
1	3561	1874
2	5001	1874

prune704.0ms

Filtered

138 candidates to 100 candidates (72.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	138	8	146

Merged error: 0.0b

Counts

146 → 8

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 43.3400022514 (pow x 3))
0.2b	(* 263.505074721 (pow x 2))
8.8b	(+ (* 43.3400022514 (pow x 3)) (pow x 4))
26.0b	(/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (+ (* 263.505074721 (pow x 2)) (+ (* 43.3400022514 (pow x 3)) (pow x 4))) 47.066876606))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
20×	`associate-r`
19×	`add-exp-log`
17×	`*-un-lft-identity`
13×	`add-cube-cbrt` `add-cbrt-cube`
8×	`unpow-prod-down` `associate-/l/` `unswap-sqr`
7×	`prod-exp`
6×	`associate-l` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`pow1` `frac-times` `times-frac` `cube-prod` `associate-/r*` `sqr-pow`
3×	`flip3--` `flip--` `cbrt-unprod`
2×	`cbrt-undiv` `pow-to-exp` `associate-r/` `div-exp` `associate-l/` `pow-exp` `associate-/r/` `*-commutative` `distribute-lft-out` `unpow2`
1×	`+-commutative` `cube-mult` `frac-2neg` `unpow3` `clear-num` `sum-log` `div-inv` `associate-/l*`

Counts

4 → 102

Calls

4 calls:

6.0ms	(* 43.3400022514 (pow x 3))
5.0ms	(* 263.505074721 (pow x 2))
6.0ms	(+ (* 43.3400022514 (pow x 3)) (pow x 4))
27.0ms	(/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (+ (* 263.505074721 (pow x 2)) (+ (* 43.3400022514 (pow x 3)) (pow x 4))) 47.066876606))

series394.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* 43.3400022514 (pow x 3))
25.0ms	(* 263.505074721 (pow x 2))
96.0ms	(+ (* 43.3400022514 (pow x 3)) (pow x 4))
231.0ms	(/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (+ (* 263.505074721 (pow x 2)) (+ (* 43.3400022514 (pow x 3)) (pow x 4))) 47.066876606))

simplify89.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	617	1163
1	3262	1006
2	5002	997

prune561.0ms

Filtered

114 candidates to 74 candidates (64.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	114	8	122

Merged error: 0.0b

Counts

122 → 8

regimes395.0ms

Accuracy

96.8% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 24.8b

bsearch284.0ms

Steps

Iters	Range		Point
8	1.983539020238853e+30	5.624365675992367e+34	5.504380778889063e+34
11	-2.877071931430965e+52	-3.271969318308537e+30	-2.2559306135343172e+50

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	23
1	62	23
2	62	23

end0.0ms

sample899.0ms

Algorithm

intervals

Results

621.0ms

8009×

body

valid

Details

sample41.0ms

simplify40.0ms

prune11.0ms

localize23.0ms

rewrite59.0ms

series392.0ms

simplify84.0ms

prune579.0ms

localize27.0ms

rewrite75.0ms

series480.0ms

simplify132.0ms

prune1.0s

localize23.0ms

rewrite68.0ms

series432.0ms

simplify98.0ms

prune704.0ms

localize32.0ms

rewrite47.0ms

series394.0ms

simplify89.0ms

prune561.0ms

regimes395.0ms

bsearch284.0ms

simplify2.0ms

end0.0ms

sample899.0ms

Profiling