Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify131.0ms

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

prune7.0ms

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	(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))
15.7b	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite10.0ms

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:

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

series227.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(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))
75.0ms	(/ (* 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

prune220.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize17.0ms

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) (fma x (fma 0.04481 x 0.99229) 1.0)))
15.7b	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

1.0ms	(fma (- x) 0.70711 (* 0.70711 (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))))
1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
6.0ms	(* 0.70711 (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)))
3.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

series249.0ms

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))))
31.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
80.0ms	(* 0.70711 (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)))
62.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify45.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	338	694
1	1313	613
2	5001	613

prune280.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
0.1b	(* (/ 1 (sqrt (fma x (fma 0.04481 x 0.99229) 1.0))) (/ (fma 0.27061 x 2.30753) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0))))
15.6b	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
15.6b	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

95×	`add-sqr-sqrt`
76×	`times-frac`
53×	`*-un-lft-identity`
47×	`add-cube-cbrt` `sqrt-prod`
30×	`add-exp-log`
22×	`associate-r` `associate-l`
18×	`add-cbrt-cube`
15×	`unswap-sqr`
10×	`pow1` `div-exp`
8×	`prod-exp`
6×	`associate-/r*`
5×	`cbrt-undiv`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `pow-flip` `sqrt-pow1` `pow1/2` `1-exp` `div-inv` `associate-/l*`
2×	`rem-sqrt-square`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `inv-pow`

Counts

4 → 162

Calls

4 calls:

4.0ms	(/ 1 (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
22.0ms	(* (/ 1 (sqrt (fma x (fma 0.04481 x 0.99229) 1.0))) (/ (fma 0.27061 x 2.30753) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0))))
2.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
2.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

series358.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(/ 1 (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
67.0ms	(* (/ 1 (sqrt (fma x (fma 0.04481 x 0.99229) 1.0))) (/ (fma 0.27061 x 2.30753) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0))))
89.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
91.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

simplify82.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	645	1863
1	3174	1651
2	5001	1514

prune471.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (* 0.70711 (fma 0.27061 x 2.30753)))
0.3b	(cbrt (* 0.70711 (fma 0.27061 x 2.30753)))
0.8b	(* (cbrt (* 0.70711 (fma 0.27061 x 2.30753))) (cbrt (* 0.70711 (fma 0.27061 x 2.30753))))
15.7b	(/ (* (* (cbrt (* 0.70711 (fma 0.27061 x 2.30753))) (cbrt (* 0.70711 (fma 0.27061 x 2.30753)))) (cbrt (* 0.70711 (fma 0.27061 x 2.30753)))) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

2.0ms	(cbrt (* 0.70711 (fma 0.27061 x 2.30753)))
2.0ms	(cbrt (* 0.70711 (fma 0.27061 x 2.30753)))
5.0ms	(* (cbrt (* 0.70711 (fma 0.27061 x 2.30753))) (cbrt (* 0.70711 (fma 0.27061 x 2.30753))))
14.0ms	(/ (* (* (cbrt (* 0.70711 (fma 0.27061 x 2.30753))) (cbrt (* 0.70711 (fma 0.27061 x 2.30753)))) (cbrt (* 0.70711 (fma 0.27061 x 2.30753)))) (fma x (fma 0.04481 x 0.99229) 1.0))

series819.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(cbrt (* 0.70711 (fma 0.27061 x 2.30753)))
158.0ms	(cbrt (* 0.70711 (fma 0.27061 x 2.30753)))
202.0ms	(* (cbrt (* 0.70711 (fma 0.27061 x 2.30753))) (cbrt (* 0.70711 (fma 0.27061 x 2.30753))))
300.0ms	(/ (* (* (cbrt (* 0.70711 (fma 0.27061 x 2.30753))) (cbrt (* 0.70711 (fma 0.27061 x 2.30753)))) (cbrt (* 0.70711 (fma 0.27061 x 2.30753)))) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify76.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	621	1163
1	2847	974
2	5002	901

prune331.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes19.0ms

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	7
1	15	7

end0.0ms

sample451.0ms

Algorithm

intervals

Results

335.0ms

8000×

body

valid