Details

sample36.0ms

Algorithm

intervals

Results

27.0ms

256×

body

valid

simplify83.0ms

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)
12.9b	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite32.0ms

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:

24.0ms	(+ (/ (- (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))

series158.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(+ (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) x)
30.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
72.0ms	(/ (- (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 (25.0ms)

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

prune345.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
1.5b	(expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0)))
12.9b	(/ (- (fma 0.27061 x 2.30753)) (expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0))))
13.4b	(log1p (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

30×	`times-frac`
27×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
10×	`associate-/l*`
6×	`add-exp-log` `add-cbrt-cube`
5×	`expm1-log1p-u`
4×	`pow1` `neg-mul-1` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*`
1×	`cbrt-undiv` `neg-sub0` `log1p-udef` `expm1-log1p` `frac-2neg` `div-sub` `log1p-expm1` `distribute-frac-neg` `div-exp` `clear-num` `fma-udef` `div-inv` `expm1-udef`

Counts

4 → 91

Calls

4 calls:

0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
0.0ms	(expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0)))
4.0ms	(/ (- (fma 0.27061 x 2.30753)) (expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0))))
0.0ms	(log1p (fma x (fma 0.04481 x 0.99229) 1.0))

series486.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
139.0ms	(expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0)))
218.0ms	(/ (- (fma 0.27061 x 2.30753)) (expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0))))
95.0ms	(log1p (fma x (fma 0.04481 x 0.99229) 1.0))

simplify59.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	618	1189
1	2304	1002
2	5001	977

prune332.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
1.5b	(expm1 (log (+ 1 (fma x (fma 0.04481 x 0.99229) 1.0))))
12.9b	(/ (- (fma 0.27061 x 2.30753)) (expm1 (log (+ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))))
13.4b	(log (+ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity` `times-frac`
28×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
10×	`associate-/l*`
7×	`add-exp-log`
6×	`add-cbrt-cube`
5×	`pow1` `log1p-expm1-u`
4×	`expm1-log1p-u` `neg-mul-1` `log-prod` `add-log-exp`
3×	`associate-/r*`
2×	`log-div` `expm1-log1p` `log1p-def`
1×	`cbrt-undiv` `neg-sub0` `frac-2neg` `flip3-+` `div-sub` `distribute-frac-neg` `div-exp` `rem-log-exp` `clear-num` `log-pow` `flip-+` `fma-udef` `div-inv` `distribute-lft-out` `expm1-udef`

Counts

4 → 99

Calls

4 calls:

0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
0.0ms	(expm1 (log (+ 1 (fma x (fma 0.04481 x 0.99229) 1.0))))
4.0ms	(/ (- (fma 0.27061 x 2.30753)) (expm1 (log (+ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))))
2.0ms	(log (+ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

series481.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
149.0ms	(expm1 (log (+ 1 (fma x (fma 0.04481 x 0.99229) 1.0))))
209.0ms	(/ (- (fma 0.27061 x 2.30753)) (expm1 (log (+ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))))
96.0ms	(log (+ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

simplify65.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	665	1385
1	2607	1237
2	5001	1054

prune411.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	8
1	17	8

end0.0ms

sample879.0ms

Algorithm

intervals

Results

778.0ms

8000×

body

valid