Details

sample18.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	8
1	33	8
2	56	8
3	72	8
4	78	8
5	100	8
6	128	8
7	161	8
8	190	8
9	350	8
10	644	8
11	1012	8
12	2258	8
13	5001	8

prune2.0ms

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: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))
0.0b	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
15.3b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
10×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow1`
4×	`flip3-+` `flip-+`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`associate-*l/` `associate-/r/` `associate-/l/` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

3.0ms	(+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))
9.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
5.0ms	(* (+ 0.99229 (* x 0.04481)) x)
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series237.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))
87.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
68.0ms	(* (+ 0.99229 (* x 0.04481)) x)
61.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify49.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	419	828
1	1560	773
2	5002	773

prune190.0ms

Filtered

89 candidates to 67 candidates (75.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	85	4	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	4	90

Merged error: 0b

Counts

90 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ 0.99229 (* x 0.04481)) x)
0.2b	(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) 3)
15.3b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
19.5b	(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) 3))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
45×	`times-frac`
44×	`add-cube-cbrt` `*-un-lft-identity`
36×	`cbrt-prod`
30×	`unpow-prod-down` `cube-prod`
11×	`add-exp-log` `add-cbrt-cube`
10×	`associate-/r/`
7×	`pow1` `flip3-+` `flip-+`
5×	`div-inv`
4×	`add-log-exp`
3×	`pow-unpow` `associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `associate-*l/` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `unswap-sqr`

Counts

4 → 147

Calls

4 calls:

10.0ms	(* (+ 0.99229 (* x 0.04481)) x)
7.0ms	(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) 3)
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
8.0ms	(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) 3))

series283.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* (+ 0.99229 (* x 0.04481)) x)
91.0ms	(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) 3)
63.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
59.0ms	(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) 3))

simplify89.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	653	1946
1	3050	1822
2	5001	1810

prune282.0ms

Filtered

159 candidates to 90 candidates (56.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	159	4	163

Merged error: 0b

Counts

163 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ 0.99229 (* x 0.04481)) x)
0.2b	(pow (* (+ 0.99229 (* x 0.04481)) x) 3)
15.3b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (cbrt (pow (* (+ 0.99229 (* x 0.04481)) x) 3))))
30.7b	(cbrt (pow (* (+ 0.99229 (* x 0.04481)) x) 3))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
12×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
8×	`cbrt-prod`
6×	`associate-*l/`
5×	`flip3-+` `flip-+`
4×	`cube-div` `associate-/r*` `distribute-lft-out` `add-log-exp`
3×	`pow-unpow` `associate-r` `associate-l` `associate-/l*`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `pow1/3` `div-exp` `clear-num` `*-commutative` `rem-cbrt-cube` `div-inv` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

6.0ms	(* (+ 0.99229 (* x 0.04481)) x)
10.0ms	(pow (* (+ 0.99229 (* x 0.04481)) x) 3)
9.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (cbrt (pow (* (+ 0.99229 (* x 0.04481)) x) 3))))
3.0ms	(cbrt (pow (* (+ 0.99229 (* x 0.04481)) x) 3))

series310.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* (+ 0.99229 (* x 0.04481)) x)
52.0ms	(pow (* (+ 0.99229 (* x 0.04481)) x) 3)
99.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (cbrt (pow (* (+ 0.99229 (* x 0.04481)) x) 3))))
87.0ms	(cbrt (pow (* (+ 0.99229 (* x 0.04481)) x) 3))

simplify72.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	532	925
1	2352	847
2	5002	840

prune244.0ms

Filtered

110 candidates to 79 candidates (71.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	110	4	114

Merged error: 0b

Counts

114 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ 2.30753 (* x 0.27061)))
0.8b	(* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061))))
3.4b	(/ (cbrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
11.8b	(* (* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061)))) (/ (cbrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
41×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
40×	`cbrt-div`
38×	`times-frac`
30×	`associate-r`
22×	`flip3-+` `flip-+`
20×	`add-exp-log` `frac-times`
16×	`pow1`
14×	`associate-*l/`
11×	`add-cbrt-cube`
7×	`pow1/3` `associate-r/` `associate-l*` `prod-exp` `cbrt-unprod` `unswap-sqr`
6×	`swap-sqr` `associate-/l*`
5×	`pow-prod-down`
4×	`associate-/r/` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/r*`
2×	`pow-sqr` `*-commutative` `pow-prod-up` `div-inv` `associate-/l/`
1×	`pow2` `frac-2neg` `pow-plus` `clear-num`

Counts

4 → 167

Calls

4 calls:

2.0ms	(cbrt (+ 2.30753 (* x 0.27061)))
8.0ms	(* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061))))
6.0ms	(/ (cbrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
18.0ms	(* (* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061)))) (/ (cbrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

series531.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(cbrt (+ 2.30753 (* x 0.27061)))
154.0ms	(* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061))))
193.0ms	(/ (cbrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
56.0ms	(* (* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061)))) (/ (cbrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

simplify119.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	996	2836
1	4483	2622
2	5002	2519

prune481.0ms

Filtered

179 candidates to 132 candidates (73.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	179	4	183

Merged error: 0b

Counts

183 → 4

regimes19.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	10
1	23	10

end0.0ms

sample394.0ms

Algorithm

intervals

Results

304.0ms

8000×

body

valid