Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

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

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: 20.7b

Counts

2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ z 6.012459259764103) z)
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
4.5b	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
19.9b	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite38.0ms

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:

5.0ms	(* (+ z 6.012459259764103) z)
6.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
10.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
14.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series270.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (+ z 6.012459259764103) z)
62.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
52.0ms	(* 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 (15.0ms)

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

prune262.0ms

Filtered

100 candidates to 68 candidates (68.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	4	101

Merged error: 0b

Counts

101 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ z 6.012459259764103) z)
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
0.1b	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
16.6b	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite44.0ms

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:

6.0ms	(* (+ z 6.012459259764103) z)
6.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
15.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
13.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series291.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (+ z 6.012459259764103) z)
64.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
116.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
64.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify70.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 1 (14.0ms)

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

prune310.0ms

Filtered

118 candidates to 84 candidates (71.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	118	4	122

Merged error: 0b

Counts

122 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
0.2b	(/ 1 (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
4.5b	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
19.7b	(* (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (/ 1 (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log`
27×	`add-sqr-sqrt`
23×	`add-cube-cbrt` `*-un-lft-identity`
22×	`add-cbrt-cube`
21×	`associate-r`
18×	`times-frac`
14×	`pow1` `prod-exp`
8×	`cbrt-unprod`
7×	`associate-r/` `associate-l*`
6×	`flip3-+` `div-exp` `flip-+`
5×	`pow-prod-down`
4×	`associate-*l/` `associate-/r/` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/r` `-commutative` `associate-/l*`
2×	`frac-times` `div-inv` `unswap-sqr`
1×	`distribute-rgt-in` `pow-flip` `frac-2neg` `distribute-lft-in` `clear-num` `un-div-inv` `inv-pow`

Counts

4 → 119

Calls

4 calls:

6.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
8.0ms	(/ 1 (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
9.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
18.0ms	(* (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (/ 1 (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))

series272.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
39.0ms	(/ 1 (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
49.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
120.0ms	(* (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (/ 1 (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))

simplify91.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	664	1171
1	3527	993
2	5001	966

prune289.0ms

Filtered

131 candidates to 77 candidates (58.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	131	4	135

Merged error: 0b

Counts

135 → 4

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) (* (+ (* z 0.0692910599291889) 0.4917317610505968) z))
0.5b	(* (+ (* 0.279195317918525 (- 0.279195317918525 (* (+ (* z 0.0692910599291889) 0.4917317610505968) z))) (* (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) (* (+ (* z 0.0692910599291889) 0.4917317610505968) z))) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
13.6b	(+ (* 0.279195317918525 (- 0.279195317918525 (* (+ (* z 0.0692910599291889) 0.4917317610505968) z))) (* (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) (* (+ (* z 0.0692910599291889) 0.4917317610505968) z)))
25.3b	(/ (+ (pow (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 3) (pow 0.279195317918525 3)) (* (+ (* 0.279195317918525 (- 0.279195317918525 (* (+ (* z 0.0692910599291889) 0.4917317610505968) z))) (* (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) (* (+ (* z 0.0692910599291889) 0.4917317610505968) z))) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

246×	`associate-*l/`
146×	`associate-*r/`
136×	`flip3-+` `flip-+`
132×	`frac-times`
112×	`frac-add`
56×	`flip3--` `associate-/r/` `flip--`
45×	`pow1`
23×	`add-exp-log` `add-cbrt-cube`
18×	`pow-prod-down`
12×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt`
6×	`add-log-exp`
5×	`times-frac` `associate-/l*`
4×	`associate-+l+` `associate-r` `associate-l` `pow-sqr` `pow-prod-up`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`cbrt-undiv` `sub-neg` `pow-plus` `div-exp` `sum-cubes` `*-commutative` `associate-/l/` `distribute-lft-out`
1×	`+-commutative` `pow2` `frac-2neg` `swap-sqr` `clear-num` `associate-/r*` `sum-log` `div-inv` `unswap-sqr`

Counts

4 → 232

Calls

4 calls:

13.0ms	(* (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) (* (+ (* z 0.0692910599291889) 0.4917317610505968) z))
17.0ms	(* (+ (* 0.279195317918525 (- 0.279195317918525 (* (+ (* z 0.0692910599291889) 0.4917317610505968) z))) (* (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) (* (+ (* z 0.0692910599291889) 0.4917317610505968) z))) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
10.0ms	(+ (* 0.279195317918525 (- 0.279195317918525 (* (+ (* z 0.0692910599291889) 0.4917317610505968) z))) (* (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) (* (+ (* z 0.0692910599291889) 0.4917317610505968) z)))
30.0ms	(/ (+ (pow (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 3) (pow 0.279195317918525 3)) (* (+ (* 0.279195317918525 (- 0.279195317918525 (* (+ (* z 0.0692910599291889) 0.4917317610505968) z))) (* (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) (* (+ (* z 0.0692910599291889) 0.4917317610505968) z))) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))

series283.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) (* (+ (* z 0.0692910599291889) 0.4917317610505968) z))
70.0ms	(* (+ (* 0.279195317918525 (- 0.279195317918525 (* (+ (* z 0.0692910599291889) 0.4917317610505968) z))) (* (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) (* (+ (* z 0.0692910599291889) 0.4917317610505968) z))) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
42.0ms	(+ (* 0.279195317918525 (- 0.279195317918525 (* (+ (* z 0.0692910599291889) 0.4917317610505968) z))) (* (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) (* (+ (* z 0.0692910599291889) 0.4917317610505968) z)))
133.0ms	(/ (+ (pow (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 3) (pow 0.279195317918525 3)) (* (+ (* 0.279195317918525 (- 0.279195317918525 (* (+ (* z 0.0692910599291889) 0.4917317610505968) z))) (* (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) (* (+ (* z 0.0692910599291889) 0.4917317610505968) z))) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))

simplify122.0ms

Algorithm

egg-herbie

Counts

244 → 244

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1569	8863
1	5001	8565

prune1.2s

Filtered

244 candidates to 164 candidates (67.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	244	0	244
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	244	4	248

Merged error: 0b

Counts

248 → 4

regimes118.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 15.8b

bsearch123.0ms

Steps

Iters	Range		Point
9	13523.20185778739	10938932741.588787	2478310.6999128633
5	-4.103856280457869e+41	-1.6798275335293739e+41	-3.215970785778356e+41

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	19
1	53	19

end0.0ms

sample499.0ms

Algorithm

intervals

Results

320.0ms

8000×

body

valid