Details

sample32.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	452	21
1	452	21

prune10.0ms

Filtered

1 candidates to 1 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: 18.6b

Counts

2 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304))))
0.1b	(* z (+ (* z 0.0692910599291889) 0.4917317610505968))
0.1b	(* y (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304)))
18.0b	(/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

4.0ms	(+ x (* y (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304))))
7.0ms	(* z (+ (* z 0.0692910599291889) 0.4917317610505968))
17.0ms	(* y (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304)))
15.0ms	(/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304))

series116.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(+ x (* y (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304))))
6.0ms	(* z (+ (* z 0.0692910599291889) 0.4917317610505968))
29.0ms	(* y (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304)))
6.0ms	(/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304))

simplify31.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5595	2166

prune232.0ms

Filtered

86 candidates to 110 candidates (-27.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	104	6	110
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	105	7	112

Merged error: 0.0b

Counts

112 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (cbrt (pow (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304)) 3)))
0.5b	(pow (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304)) 3)
0.6b	(cbrt (pow (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304)) 3))
18.0b	(/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

78×	`cbrt-prod`
74×	`add-sqr-sqrt`
65×	`times-frac`
59×	`add-cube-cbrt` `*-un-lft-identity`
47×	`unpow-prod-down` `cube-prod`
39×	`associate-r`
14×	`associate-/r/`
11×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`flip3-+` `flip-+`
7×	`pow1` `div-inv` `unswap-sqr`
4×	`add-log-exp` `sqr-pow`
3×	`cube-div` `cube-mult` `pow-unpow` `unpow3` `associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `cbrt-div` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt`
1×	`pow-to-exp` `pow-pow` `frac-2neg` `pow1/3` `associate-r/` `pow-prod-down` `prod-exp` `clear-num` `-commutative` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 188

Calls

4 calls:

24.0ms	(* y (cbrt (pow (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304)) 3)))
18.0ms	(pow (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304)) 3)
15.0ms	(cbrt (pow (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304)) 3))
16.0ms	(/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304))

series46.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* y (cbrt (pow (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304)) 3)))
7.0ms	(pow (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304)) 3)
6.0ms	(cbrt (pow (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304)) 3))
6.0ms	(/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304))

simplify55.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5177	4795

prune331.0ms

Filtered

112 candidates to 200 candidates (-78.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	200	0	200
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	200	7	207

Merged error: 0.0b

Counts

207 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (+ (* z 0.0692910599291889) 0.4917317610505968))
0.1b	(* y (exp (log (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304)))))
0.5b	(exp (log (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304))))
18.0b	(/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
32×	`log-prod` `exp-sum`
31×	`add-cube-cbrt` `*-un-lft-identity`
28×	`times-frac`
21×	`associate-r`
10×	`add-cbrt-cube`
9×	`pow1` `add-exp-log`
6×	`associate-l` `associate-/r/`
5×	`flip3-+` `flip-+`
4×	`exp-prod` `add-log-exp` `unswap-sqr`
3×	`associate-r/` `associate-/r` `div-inv` `associate-/l*`
2×	`log-div` `exp-diff` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate-/l/`
1×	`cbrt-undiv` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `div-exp` `clear-num` `log-pow` `rem-exp-log`

Counts

4 → 117

Calls

4 calls:

7.0ms	(* z (+ (* z 0.0692910599291889) 0.4917317610505968))
24.0ms	(* y (exp (log (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304)))))
14.0ms	(exp (log (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304))))
16.0ms	(/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304))

series45.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* z (+ (* z 0.0692910599291889) 0.4917317610505968))
27.0ms	(* y (exp (log (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304)))))
6.0ms	(exp (log (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304))))
6.0ms	(/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304))

simplify33.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5078	2587

prune274.0ms

Filtered

97 candidates to 129 candidates (-33.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	129	7	136

Merged error: 0.0b

Counts

136 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

10.0b	(* (* (cbrt (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)) (cbrt (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525))) (/ (cbrt (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)) (+ (* z (+ z 6.012459259764103)) 3.350343815022304)))
17.8b	(cbrt (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525))
17.8b	(cbrt (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525))
17.8b	(cbrt (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

40.0ms	(* (* (cbrt (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)) (cbrt (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525))) (/ (cbrt (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)) (+ (* z (+ z 6.012459259764103)) 3.350343815022304)))
7.0ms	(cbrt (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525))
7.0ms	(cbrt (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525))
7.0ms	(cbrt (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525))

series35.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (* (cbrt (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)) (cbrt (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525))) (/ (cbrt (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)) (+ (* z (+ z 6.012459259764103)) 3.350343815022304)))
9.0ms	(cbrt (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525))
10.0ms	(cbrt (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525))
10.0ms	(cbrt (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525))

simplify52.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5182	3497

prune389.0ms

Filtered

92 candidates to 114 candidates (-23.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	114	7	121

Merged error: 0.0b

Counts

121 → 7

regimes425.0ms

Accuracy

99.2% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 17.2b

bsearch53.0ms

Steps

Iters	Range		Point
10	6.447125064489246e-12	18.076566431700634	17.753460078900254
10	-1.7205894411264096e+45	-8.534522168063439e+34	-1.6437192973678352e+35

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	64
1	50	64

end0.0ms

sample772.0ms

Algorithm

intervals

Results

459.0ms

8000×

body

valid

Details

sample32.0ms

simplify8.0ms

prune10.0ms

localize14.0ms

rewrite47.0ms

series116.0ms

simplify31.0ms

prune232.0ms

localize17.0ms

rewrite82.0ms

series46.0ms

simplify55.0ms

prune331.0ms

localize18.0ms

rewrite66.0ms

series45.0ms

simplify33.0ms

prune274.0ms

localize19.0ms

rewrite67.0ms

series35.0ms

simplify52.0ms

prune389.0ms

regimes425.0ms

bsearch53.0ms

simplify1.0ms

end0.0ms

sample772.0ms

Profiling