Details

sample34.0ms

Algorithm

intervals

Results

17.0ms

257×

body

valid

simplify40.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
0.1b	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
0.1b	(* (+ (* x 4.16438922228) 78.6994924154) x)
20.8b	(/ (* (- 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))

rewrite106.0ms

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:

18.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
20.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
13.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
52.0ms	(/ (* (- 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))

series390.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
41.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
68.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
239.0ms	(/ (* (- 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))

simplify82.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	664	1209
1	3268	1044
2	5001	1044

prune453.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize28.0ms

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)))
19.8b	(/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))

rewrite140.0ms

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:

20.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
10.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
53.0ms	(/ (- 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)))
48.0ms	(/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))

series487.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
63.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
244.0ms	(/ (- 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)))
133.0ms	(/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))

simplify134.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 1 (23.0ms)

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

prune819.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

5.2b	(sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
5.2b	(sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
14.4b	(/ (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)) (/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))))
17.1b	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

288×	`times-frac`
164×	`add-sqr-sqrt`
162×	`add-cube-cbrt` `*-un-lft-identity`
156×	`sqrt-prod`
30×	`associate-/r*`
22×	`sqrt-div`
17×	`associate-/r/`
12×	`flip3-+` `flip-+`
11×	`add-exp-log` `add-cbrt-cube`
9×	`div-inv` `associate-/l*`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `associate-/l/` `add-log-exp`
2×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num`

Counts

4 → 264

Calls

4 calls:

20.0ms	(sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
19.0ms	(sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
73.0ms	(/ (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)) (/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))))
49.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))

series720.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
69.0ms	(sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
260.0ms	(/ (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)) (/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))))
322.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))

simplify173.0ms

Algorithm

egg-herbie

Counts

276 → 276

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	796	10790
1	3822	10095
2	5001	10006

prune945.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

16.2b	(cbrt (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x))
16.2b	(cbrt (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x))
16.2b	(cbrt (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x))
20.8b	(/ (* (- x 2.0) (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)) (cbrt (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x))) (cbrt (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x))) y) x) z)) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

rewrite320.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

7.0ms	(cbrt (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x))
9.0ms	(cbrt (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x))
7.0ms	(cbrt (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x))
294.0ms	(/ (* (- x 2.0) (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)) (cbrt (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x))) (cbrt (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x))) y) x) z)) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

series775.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(cbrt (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x))
161.0ms	(cbrt (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x))
155.0ms	(cbrt (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x))
296.0ms	(/ (* (- x 2.0) (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)) (cbrt (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x))) (cbrt (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x))) y) x) z)) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

simplify72.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	581	2113
1	2594	1782
2	5003	1723

prune484.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes299.0ms

Accuracy

96.1% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 24.6b

bsearch168.0ms

Steps

Iters	Range		Point
11	45264.06840193658	8.566821114543323e+39	3.1500200017107755e+35
0	-3.319771106735355e+47	-3.3105946687093347e+47	-3.315182887722345e+47

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	33
1	64	33
2	64	33

end0.0ms

sample785.0ms

Algorithm

intervals

Results

580.0ms

8012×

body

valid