Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify85.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	22	8
1	39	6
2	66	6
3	98	6
4	108	6
5	130	6
6	158	6
7	211	6
8	277	6
9	512	6
10	881	6
11	1338	6
12	2728	6
13	5001	6

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 0.99229 (* x 0.04481))
0.0b	(+ 2.30753 (* x 0.27061))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
12.2b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

126×	`*-un-lft-identity`
58×	`distribute-lft-out`
40×	`associate-l`
35×	`times-frac`
24×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`associate-/r*`
6×	`pow1` `fma-def`
5×	`flip3-+` `flip-+` `associate-/l*`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r`
2×	`+-commutative` `associate-*l/` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 125

Calls

4 calls:

6.0ms	(+ 0.99229 (* x 0.04481))
6.0ms	(+ 2.30753 (* x 0.27061))
9.0ms	(* (+ 0.99229 (* x 0.04481)) x)
19.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series191.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ 0.99229 (* x 0.04481))
31.0ms	(+ 2.30753 (* x 0.27061))
64.0ms	(* (+ 0.99229 (* x 0.04481)) x)
59.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify53.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	400	942
1	1540	797
2	5001	775

prune237.0ms

Filtered

137 candidates to 84 candidates (61.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	136	1	137
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	136	2	138

Merged error: 0b

Counts

138 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

6.9b	(* (/ 1 (* (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))) (/ (fma 0.27061 x 2.30753) (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
12.6b	(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
12.6b	(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
12.6b	(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite589.0ms

Algorithm

rewrite-expression-head

Rules

3787×	`*-un-lft-identity`
1999×	`cbrt-prod`
1872×	`distribute-lft-out`
1663×	`associate-/r*`
1637×	`associate-l`
1044×	`frac-times`
842×	`add-sqr-sqrt`
612×	`swap-sqr`
479×	`add-cube-cbrt`
299×	`times-frac`
250×	`associate-/l*`
236×	`associate-r`
161×	`unswap-sqr`
84×	`clear-num`
83×	`frac-2neg`
67×	`associate-*l/`
61×	`add-cbrt-cube`
49×	`add-exp-log`
30×	`cbrt-unprod`
27×	`cbrt-undiv` `*-commutative`
20×	`cbrt-div` `prod-exp`
18×	`associate-*r/`
15×	`div-exp`
10×	`flip3-+` `associate-/r/` `flip-+`
6×	`pow1`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`un-div-inv` `div-inv`
1×	`pow-prod-down`

Counts

4 → 1505

Calls

4 calls:

352.0ms	(* (/ 1 (* (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))) (/ (fma 0.27061 x 2.30753) (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
11.0ms	(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
13.0ms	(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
11.0ms	(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series477.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (/ 1 (* (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))) (/ (fma 0.27061 x 2.30753) (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
135.0ms	(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
140.0ms	(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
141.0ms	(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify403.0ms

Algorithm

egg-herbie

Counts

1517 → 1517

Iterations

Useful iterations: 1 (57.0ms)

Iter	Nodes	Cost
0	2782	39210
1	5001	34935

prune1.5s

Filtered

1517 candidates to 385 candidates (25.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	1517	0	1517
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	1517	2	1519

Merged error: 0b

Counts

1519 → 2

regimes26.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	8
1	20	8

end0.0ms

sample355.0ms

Algorithm

intervals

Results

262.0ms

8000×

body

valid