Details

sample25.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ z 6.012459259764103) z)
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
3.3b	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
17.8b	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite61.0ms

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:

12.0ms	(* (+ z 6.012459259764103) z)
10.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
20.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
16.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series273.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (+ z 6.012459259764103) z)
60.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
53.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
116.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify73.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (16.0ms)

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

prune266.0ms

Filtered

100 candidates to 68 candidates (68.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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)))
14.1b	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite84.0ms

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:

10.0ms	(* (+ z 6.012459259764103) z)
10.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
37.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
24.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series290.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (+ z 6.012459259764103) z)
64.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
117.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
65.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify76.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 1 (17.0ms)

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

prune308.0ms

Filtered

118 candidates to 84 candidates (71.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (+ (* z 0.0692910599291889) 0.4917317610505968))
1.0b	(cbrt (+ (* z 0.0692910599291889) 0.4917317610505968))
1.0b	(cbrt (+ (* z 0.0692910599291889) 0.4917317610505968))
14.1b	(/ (+ (* (* (cbrt (+ (* z 0.0692910599291889) 0.4917317610505968)) (cbrt (+ (* z 0.0692910599291889) 0.4917317610505968))) (* (cbrt (+ (* z 0.0692910599291889) 0.4917317610505968)) z)) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite127.0ms

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:

2.0ms	(cbrt (+ (* z 0.0692910599291889) 0.4917317610505968))
2.0ms	(cbrt (+ (* z 0.0692910599291889) 0.4917317610505968))
2.0ms	(cbrt (+ (* z 0.0692910599291889) 0.4917317610505968))
118.0ms	(/ (+ (* (* (cbrt (+ (* z 0.0692910599291889) 0.4917317610505968)) (cbrt (+ (* z 0.0692910599291889) 0.4917317610505968))) (* (cbrt (+ (* z 0.0692910599291889) 0.4917317610505968)) z)) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series442.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(cbrt (+ (* z 0.0692910599291889) 0.4917317610505968))
130.0ms	(cbrt (+ (* z 0.0692910599291889) 0.4917317610505968))
124.0ms	(cbrt (+ (* z 0.0692910599291889) 0.4917317610505968))
65.0ms	(/ (+ (* (* (cbrt (+ (* z 0.0692910599291889) 0.4917317610505968)) (cbrt (+ (* z 0.0692910599291889) 0.4917317610505968))) (* (cbrt (+ (* z 0.0692910599291889) 0.4917317610505968)) z)) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify55.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	442	1402
1	1577	1304
2	5001	1210

prune370.0ms

Filtered

82 candidates to 73 candidates (89.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

7.2b	(* (/ y (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))) (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
13.6b	(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
13.6b	(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
13.7b	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 150

Calls

4 calls:

74.0ms	(* (/ y (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))) (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
8.0ms	(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
7.0ms	(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
22.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))

series350.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* (/ y (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))) (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
55.0ms	(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
48.0ms	(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
126.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))

simplify90.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	720	2535
1	3084	2327
2	5002	2242

prune500.0ms

Filtered

162 candidates to 115 candidates (71.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes162.0ms

Accuracy

99.3% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 16.0b

bsearch114.0ms

Steps

Iters	Range		Point
6	647393.898438092	3599171.4164552046	657557.7652793084
7	-13465749.84551245	-438189.86495182384	-493762.84540074907

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	25
1	55	25

end0.0ms

sample489.0ms

Algorithm

intervals

Results

318.0ms

8000×

body

valid