Details

sample17.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify130.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (6.0ms)

Iter	Nodes	Cost
0	31	9
1	59	9
2	90	9
3	116	7
4	130	7
5	148	7
6	188	7
7	264	7
8	304	7
9	377	7
10	580	7
11	851	7
12	1402	7
13	2787	7
14	3168	7
15	4321	7
16	5001	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- x) 0.70711 (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(* 0.70711 (fma 0.27061 x 2.30753))
12.0b	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1`
4×	`expm1-log1p-u` `fma-udef` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-r` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 65

Calls

4 calls:

0.0ms	(fma (- x) 0.70711 (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))
0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
3.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
4.0ms	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

series229.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(fma (- x) 0.70711 (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))
25.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
54.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
74.0ms	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify38.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	272	452
1	1121	382
2	5002	382

prune217.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(* 0.70711 (fma 0.27061 x 2.30753))
0.6b	(expm1 (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))
12.0b	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u` `add-log-exp`
3×	`times-frac` `associate-r` `associate-l` `associate-/r*` `fma-udef`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
1×	`distribute-rgt-in` `expm1-log1p` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `expm1-udef` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
3.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
0.0ms	(expm1 (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))
4.0ms	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

series280.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
55.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
123.0ms	(expm1 (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))
75.0ms	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify38.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	293	453
1	1188	383
2	5001	383

prune244.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- x) 0.70711 (log1p (expm1 (/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0)))))
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.6b	(expm1 (/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0)))
12.0b	(/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

0.0ms	(fma (- x) 0.70711 (log1p (expm1 (/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0)))))
0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
0.0ms	(expm1 (/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0)))
2.0ms	(/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0))

series362.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(fma (- x) 0.70711 (log1p (expm1 (/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0)))))
25.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
117.0ms	(expm1 (/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0)))
64.0ms	(/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify90.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	262	530
1	767	468
2	3398	460
3	5002	451

prune244.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(expm1 (/ (* 0.70711 (fma 0.27061 x 2.30753)) (expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0)))))
1.2b	(expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0)))
12.0b	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0))))
12.4b	(log1p (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

0.0ms	(expm1 (/ (* 0.70711 (fma 0.27061 x 2.30753)) (expm1 (log1p (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	(/ (* 0.70711 (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))

series580.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(expm1 (/ (* 0.70711 (fma 0.27061 x 2.30753)) (expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0)))))
144.0ms	(expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0)))
209.0ms	(/ (* 0.70711 (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))

simplify55.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	600	802
1	2419	715
2	5001	703

prune295.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes17.0ms

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	15	8

end0.0ms

sample397.0ms

Algorithm

intervals

Results

302.0ms

8000×

body

valid