Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify81.0ms

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

prune8.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) x)
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
13.4b	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
48×	`*-un-lft-identity`
46×	`add-sqr-sqrt` `add-cube-cbrt`
34×	`fma-def`
21×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
10×	`associate-/l*`
7×	`neg-mul-1`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`pow1` `expm1-log1p-u` `associate-/r*` `log1p-expm1-u`
2×	`neg-sub0` `div-sub` `div-inv`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `frac-2neg` `flip3-+` `distribute-frac-neg` `div-exp` `clear-num` `sum-log` `flip-+` `fma-udef` `distribute-lft-out`

Counts

3 → 118

Calls

3 calls:

15.0ms	(+ (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) x)
1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
5.0ms	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

series171.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(+ (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) x)
27.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
79.0ms	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify122.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 3 (110.0ms)

Iter	Nodes	Cost
0	331	784
1	1057	748
2	4691	733
3	5001	730

prune300.0ms

Filtered

127 candidates to 106 candidates (83.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	125	2	127
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	126	2	128

Merged error: 0b

Counts

128 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

13.4b	(/ (- (fma 0.27061 x 2.30753)) (* (* (cbrt (fma x (fma 0.04481 x 0.99229) 1.0)) (cbrt (fma x (fma 0.04481 x 0.99229) 1.0))) (cbrt (fma x (fma 0.04481 x 0.99229) 1.0))))
13.8b	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
13.8b	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
13.8b	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

882×	`add-sqr-sqrt`
560×	`times-frac`
449×	`cbrt-prod`
363×	`associate-l`
330×	`unswap-sqr`
310×	`add-cube-cbrt` `*-un-lft-identity`
171×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
132×	`associate-r`
110×	`swap-sqr`
57×	`neg-mul-1`
56×	`associate-/r*`
44×	`*-commutative`
31×	`add-cbrt-cube`
18×	`cbrt-unprod`
13×	`add-exp-log`
11×	`cbrt-undiv`
10×	`associate-/l*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `div-exp` `prod-exp`
1×	`neg-sub0` `frac-2neg` `div-sub` `distribute-frac-neg` `clear-num` `div-inv`

Counts

4 → 693

Calls

4 calls:

36.0ms	(/ (- (fma 0.27061 x 2.30753)) (* (* (cbrt (fma x (fma 0.04481 x 0.99229) 1.0)) (cbrt (fma x (fma 0.04481 x 0.99229) 1.0))) (cbrt (fma x (fma 0.04481 x 0.99229) 1.0))))
1.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
1.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
1.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))

series557.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(/ (- (fma 0.27061 x 2.30753)) (* (* (cbrt (fma x (fma 0.04481 x 0.99229) 1.0)) (cbrt (fma x (fma 0.04481 x 0.99229) 1.0))) (cbrt (fma x (fma 0.04481 x 0.99229) 1.0))))
159.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
158.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
161.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))

simplify212.0ms

Algorithm

egg-herbie

Counts

705 → 705

Iterations

Useful iterations: 1 (43.0ms)

Iter	Nodes	Cost
0	2149	15989
1	5001	14899

prune1.4s

Filtered

705 candidates to 394 candidates (55.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	705	0	705
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	705	2	707

Merged error: 0b

Counts

707 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- (fma 0.27061 x 2.30753)))
0.7b	(* (cbrt (- (fma 0.27061 x 2.30753))) (cbrt (- (fma 0.27061 x 2.30753))))
3.3b	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (cbrt (- (fma 0.27061 x 2.30753))))
10.5b	(/ (* (cbrt (- (fma 0.27061 x 2.30753))) (cbrt (- (fma 0.27061 x 2.30753)))) (/ (fma x (fma 0.04481 x 0.99229) 1.0) (cbrt (- (fma 0.27061 x 2.30753)))))

rewrite357.0ms

Algorithm

rewrite-expression-head

Rules

4178×	`times-frac`
3750×	`cbrt-prod`
2492×	`add-sqr-sqrt`
2312×	`*-un-lft-identity`
2132×	`add-cube-cbrt`
1107×	`distribute-rgt-neg-in`
1017×	`distribute-lft-neg-in`
675×	`swap-sqr`
585×	`associate-r` `associate-l`
339×	`neg-mul-1`
180×	`unswap-sqr`
69×	`associate-/r*`
56×	`associate-/l*`
53×	`div-inv`
46×	`add-cbrt-cube`
45×	`*-commutative`
27×	`cbrt-undiv`
20×	`add-exp-log`
19×	`associate-/r/`
16×	`cbrt-unprod`
11×	`pow1`
7×	`pow1/3` `div-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `prod-exp` `clear-num`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 2451

Calls

4 calls:

2.0ms	(cbrt (- (fma 0.27061 x 2.30753)))
15.0ms	(* (cbrt (- (fma 0.27061 x 2.30753))) (cbrt (- (fma 0.27061 x 2.30753))))
5.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (cbrt (- (fma 0.27061 x 2.30753))))
64.0ms	(/ (* (cbrt (- (fma 0.27061 x 2.30753))) (cbrt (- (fma 0.27061 x 2.30753)))) (/ (fma x (fma 0.04481 x 0.99229) 1.0) (cbrt (- (fma 0.27061 x 2.30753)))))

series991.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(cbrt (- (fma 0.27061 x 2.30753)))
210.0ms	(* (cbrt (- (fma 0.27061 x 2.30753))) (cbrt (- (fma 0.27061 x 2.30753))))
500.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (cbrt (- (fma 0.27061 x 2.30753))))
114.0ms	(/ (* (cbrt (- (fma 0.27061 x 2.30753))) (cbrt (- (fma 0.27061 x 2.30753)))) (/ (fma x (fma 0.04481 x 0.99229) 1.0) (cbrt (- (fma 0.27061 x 2.30753)))))

simplify688.0ms

Algorithm

egg-herbie

Counts

2463 → 2463

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5001	67261

prune8.2s

Filtered

2463 candidates to 1736 candidates (70.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	2463	0	2463
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	2463	2	2465

Merged error: 0b

Counts

2465 → 2

regimes13.0ms

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	19	15
1	19	15

end0.0ms

sample323.0ms

Algorithm

intervals

Results

236.0ms

8000×

body

valid