Details

sample32.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify38.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
0.0b	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
0.1b	(* (+ (* x 4.16438922228) 78.6994924154) x)
28.3b	(/ (* (- 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))

rewrite107.0ms

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)
14.0ms	(* (+ (* 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))

series383.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
40.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
67.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
237.0ms	(/ (* (- 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))

simplify80.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (16.0ms)

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

prune648.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
0.0b	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
0.1b	(* (+ (* x 4.16438922228) 78.6994924154) x)
26.3b	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

18.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
23.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
11.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
49.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

series341.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
44.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
67.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
195.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

simplify67.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	555	1234
1	2329	1115
2	5002	1109

prune428.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

17.8b	(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
17.8b	(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
17.8b	(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
26.3b	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (* (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721)) (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))) (* (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721)) x)) 313.399215894) x) 47.066876606))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

4.0ms	(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
4.0ms	(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
5.0ms	(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
172.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (* (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721)) (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))) (* (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721)) x)) 313.399215894) x) 47.066876606))

series521.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
106.0ms	(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
108.0ms	(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
191.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (* (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721)) (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))) (* (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721)) x)) 313.399215894) x) 47.066876606))

simplify52.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	413	1762
1	1400	1619
2	5001	1613

prune511.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
0.1b	(* (+ (* x 4.16438922228) 78.6994924154) x)
0.1b	(/ 1 (/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)))
26.4b	(/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
64×	`add-sqr-sqrt`
60×	`add-cube-cbrt` `*-un-lft-identity`
21×	`add-exp-log`
18×	`associate-/r*`
15×	`add-cbrt-cube`
11×	`associate-/r/`
9×	`pow1`
8×	`flip3-+` `div-exp` `flip-+`
6×	`associate-r` `associate-l` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `associate-*l/` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`pow-flip` `inv-pow`

Counts

4 → 155

Calls

4 calls:

20.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
13.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
48.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)))
52.0ms	(/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))

series446.0ms

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)
207.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ 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))

simplify101.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	713	3578
1	3355	3315
2	5002	3235

prune566.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes300.0ms

Accuracy

98% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 25.3b

bsearch284.0ms

Steps

Iters	Range		Point
8	3.190813447299405e+40	9.893798366210555e+44	7.256469163412828e+43
9	-4.777908884566011e+68	-2.038197479000767e+61	-9.094410887138144e+65

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	34
1	67	34
2	67	34

end0.0ms

sample691.0ms

Algorithm

intervals

Results

514.0ms

8010×

body

valid