Details

sample29.0ms

Algorithm

intervals

Results

21.0ms

256×

body

valid

simplify129.0ms

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.0b	(+ 2.30753 (* x 0.27061))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
14.5b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
58×	`add-cube-cbrt`
46×	`times-frac`
45×	`prod-diff`
15×	`fma-neg`
10×	`associate-/r/`
8×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
6×	`pow1`
5×	`div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`associate-*r/` `associate-/l/` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `sub-neg` `flip3--` `frac-2neg` `distribute-lft-in` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 150

Calls

4 calls:

38.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
2.0ms	(+ 2.30753 (* x 0.27061))
7.0ms	(* x (+ 0.99229 (* x 0.04481)))
9.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series235.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
31.0ms	(+ 2.30753 (* x 0.27061))
63.0ms	(* x (+ 0.99229 (* x 0.04481)))
55.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify83.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	607	2052
1	2430	1584
2	5002	1517

prune369.0ms

Pruning

4 alts after pruning (3 fresh and 1 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))
14.5b	(/ (* 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`
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))

series221.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(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)
51.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
72.0ms	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify37.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 1 (8.0ms)

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

prune216.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 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)) (+ (* x (fma 0.04481 x 0.99229)) 1.0)))
0.1b	(* x (fma 0.04481 x 0.99229))
0.1b	(* 0.70711 (fma 0.27061 x 2.30753))
14.5b	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (+ (* x (fma 0.04481 x 0.99229)) 1.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1`
6×	`associate-r` `associate-l`
5×	`fma-udef`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 79

Calls

4 calls:

0.0ms	(fma (- x) 0.70711 (/ (* 0.70711 (fma 0.27061 x 2.30753)) (+ (* x (fma 0.04481 x 0.99229)) 1.0)))
3.0ms	(* x (fma 0.04481 x 0.99229))
3.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
7.0ms	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (+ (* x (fma 0.04481 x 0.99229)) 1.0))

series252.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(fma (- x) 0.70711 (/ (* 0.70711 (fma 0.27061 x 2.30753)) (+ (* x (fma 0.04481 x 0.99229)) 1.0)))
62.0ms	(* x (fma 0.04481 x 0.99229))
50.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
70.0ms	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (+ (* x (fma 0.04481 x 0.99229)) 1.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	362	545
1	1642	472
2	5001	465

prune238.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (- x) 0.70711 (/ (fma 0.1913510371 x 1.6316775383) (+ (* x (fma 0.04481 x 0.99229)) 1.0)))
0.1b	(* x (fma 0.04481 x 0.99229))
14.5b	(/ (fma 0.1913510371 x 1.6316775383) (+ (* x (fma 0.04481 x 0.99229)) 1.0))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
3×	`expm1-log1p-u` `associate-r` `associate-l` `associate-/r` `fma-udef` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`associate-/r/`
1×	`cbrt-undiv` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `flip3-+` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

0.0ms	(fma (- x) 0.70711 (/ (fma 0.1913510371 x 1.6316775383) (+ (* x (fma 0.04481 x 0.99229)) 1.0)))
3.0ms	(* x (fma 0.04481 x 0.99229))
6.0ms	(/ (fma 0.1913510371 x 1.6316775383) (+ (* x (fma 0.04481 x 0.99229)) 1.0))

series188.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(fma (- x) 0.70711 (/ (fma 0.1913510371 x 1.6316775383) (+ (* x (fma 0.04481 x 0.99229)) 1.0)))
62.0ms	(* x (fma 0.04481 x 0.99229))
61.0ms	(/ (fma 0.1913510371 x 1.6316775383) (+ (* x (fma 0.04481 x 0.99229)) 1.0))

simplify37.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	287	506
1	1045	460
2	5001	456

prune188.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes36.0ms

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	16	7
1	16	7

end0.0ms

sample757.0ms

Algorithm

intervals

Results

659.0ms

8000×

body

valid