Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify84.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

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

rewrite37.0ms

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:

27.0ms	(+ (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) x)
0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
4.0ms	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

series156.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(+ (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) x)
25.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
73.0ms	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify125.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	335	784
1	1079	748
2	4829	733
3	5001	733

prune358.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (fma 0.27061 x 2.30753))
0.2b	(cbrt (fma 0.27061 x 2.30753))
0.8b	(* (cbrt (fma 0.27061 x 2.30753)) (cbrt (fma 0.27061 x 2.30753)))
3.8b	(/ (cbrt (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
34×	`cbrt-prod`
29×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
11×	`pow1`
8×	`add-exp-log` `pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `associate-/l*`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`associate-/r*`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`cbrt-undiv` `pow2` `frac-2neg` `pow-plus` `div-exp` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 109

Calls

4 calls:

0.0ms	(cbrt (fma 0.27061 x 2.30753))
0.0ms	(cbrt (fma 0.27061 x 2.30753))
5.0ms	(* (cbrt (fma 0.27061 x 2.30753)) (cbrt (fma 0.27061 x 2.30753)))
3.0ms	(/ (cbrt (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

series570.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(cbrt (fma 0.27061 x 2.30753))
120.0ms	(cbrt (fma 0.27061 x 2.30753))
140.0ms	(* (cbrt (fma 0.27061 x 2.30753)) (cbrt (fma 0.27061 x 2.30753)))
191.0ms	(/ (cbrt (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify67.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	575	1159
1	2212	1105
2	5001	1066

prune436.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

13.7b	(/ (- (* (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))) (pow x 2)) (- (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) x))
13.8b	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))
13.8b	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
13.8b	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

112×	`add-sqr-sqrt`
98×	`times-frac`
74×	`*-un-lft-identity`
58×	`add-cube-cbrt`
44×	`difference-of-squares`
23×	`associate-/l*`
15×	`associate-/r*`
12×	`add-exp-log` `distribute-lft-neg-in` `distribute-rgt-neg-in` `add-cbrt-cube`
8×	`distribute-lft-out--`
7×	`unpow-prod-down` `unpow2` `sqr-pow`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `neg-mul-1` `frac-2neg` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`flip3--` `div-sub` `associate-/r/` `flip--` `associate-/l/`
1×	`neg-sub0` `distribute-frac-neg`

Counts

4 → 191

Calls

4 calls:

57.0ms	(/ (- (* (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))) (pow x 2)) (- (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) x))
4.0ms	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))
2.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
2.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

series347.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(/ (- (* (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))) (pow x 2)) (- (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) x))
74.0ms	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))
65.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
67.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify82.0ms

Algorithm

egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	653	3143
1	2151	2990
2	5002	2945

prune657.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

13.8b	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
14.0b	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
14.0b	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
14.0b	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod` `times-frac`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-/r` `associate-/l`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 68

Calls

4 calls:

2.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
0.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
0.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
1.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))

series510.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
150.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
149.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
143.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))

simplify118.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 3 (109.0ms)

Iter	Nodes	Cost
0	307	757
1	993	709
2	4368	639
3	5001	624

prune384.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	13
1	26	13
2	26	13

end0.0ms

sample339.0ms

Algorithm

intervals

Results

246.0ms

8000×

body

valid