Details

sample26.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify61.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	10
1	64	10
2	143	10
3	288	10
4	443	10
5	563	10
6	648	10
7	817	10
8	1060	10
9	1066	10
10	1066	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.9b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ z 6.012459259764103) z)
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
2.9b	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
20.3b	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

19.0ms	(* (+ z 6.012459259764103) z)
27.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
48.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
43.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series261.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (+ z 6.012459259764103) z)
62.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
52.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
108.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify72.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	525	728
1	2508	623
2	5001	623

prune262.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ z 6.012459259764103) z)
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
0.1b	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
15.9b	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
24×	`add-cube-cbrt`
21×	`associate-r`
19×	`times-frac`
15×	`add-exp-log` `add-cbrt-cube`
10×	`pow1` `associate-l`
5×	`flip3-+` `flip-+`
4×	`associate-*l/` `prod-exp` `associate-/r/` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `associate-/r` `-commutative` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `div-inv` `associate-/l/`
1×	`frac-2neg` `associate-*r/` `clear-num` `distribute-lft-out`

Counts

4 → 106

Calls

4 calls:

20.0ms	(* (+ z 6.012459259764103) z)
25.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
77.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
55.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series269.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (+ z 6.012459259764103) z)
60.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
109.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
58.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify69.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	545	1085
1	2456	970
2	5001	970

prune298.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ z 6.012459259764103) z)
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
0.4b	(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
15.9b	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 150

Calls

4 calls:

20.0ms	(* (+ z 6.012459259764103) z)
26.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
45.0ms	(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
54.0ms	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

series274.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (+ z 6.012459259764103) z)
64.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
111.0ms	(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
60.0ms	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

simplify96.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	733	2059
1	3325	1939
2	5001	1937

prune632.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 0.40462203869992125 (/ y (pow z 2)))
0.4b	(* 0.07512208616047561 (/ y z))
2.9b	(- (+ (* 0.07512208616047561 (/ y z)) (* 0.0692910599291889 y)) (* 0.40462203869992125 (/ y (pow z 2))))
7.8b	(/ y (pow z 2))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-sqr-sqrt` `times-frac`
45×	`add-cube-cbrt` `*-un-lft-identity`
41×	`associate-r`
24×	`add-exp-log`
22×	`unpow-prod-down`
16×	`add-cbrt-cube`
9×	`add-log-exp`
8×	`pow1` `associate-/r*` `unpow2` `sqr-pow`
7×	`div-exp` `unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`associate-*r/` `cbrt-unprod`
3×	`cbrt-undiv` `div-inv` `associate-/l*`
2×	`pow-to-exp` `diff-log` `pow-prod-down` `pow-exp` `*-commutative` `frac-sub`
1×	`sub-neg` `flip3--` `frac-2neg` `flip3-+` `associate--l+` `clear-num` `sum-log` `flip--` `flip-+`

Counts

4 → 149

Calls

4 calls:

23.0ms	(* 0.40462203869992125 (/ y (pow z 2)))
13.0ms	(* 0.07512208616047561 (/ y z))
62.0ms	(- (+ (* 0.07512208616047561 (/ y z)) (* 0.0692910599291889 y)) (* 0.40462203869992125 (/ y (pow z 2))))
7.0ms	(/ y (pow z 2))

series108.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* 0.40462203869992125 (/ y (pow z 2)))
16.0ms	(* 0.07512208616047561 (/ y z))
47.0ms	(- (+ (* 0.07512208616047561 (/ y z)) (* 0.0692910599291889 y)) (* 0.40462203869992125 (/ y (pow z 2))))
20.0ms	(/ y (pow z 2))

simplify75.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	592	919
1	2963	807
2	5001	798

prune351.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes77.0ms

Accuracy

99.1% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 16.2b

bsearch132.0ms

Steps

Iters	Range		Point
9	1.0429233478297456e-08	1.537653969837454	1.5111521476230019
8	-4.0610689082764565e+31	-4.4526610598859993e+27	-3.4834606341344276e+31

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	19
1	53	19

end0.0ms

sample532.0ms

Algorithm

intervals

Results

303.0ms

8000×

body

valid