Details

sample29.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify139.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (9.0ms)

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

prune11.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 2.30753 (* x 0.27061))
0.0b	(+ 0.99229 (* x 0.04481))
0.0b	(* x (+ 0.99229 (* x 0.04481)))
16.9b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

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

series192.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ 2.30753 (* x 0.27061))
32.0ms	(+ 0.99229 (* x 0.04481))
67.0ms	(* x (+ 0.99229 (* x 0.04481)))
59.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify59.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	421	651
1	1810	561
2	5001	544

prune261.0ms

Filtered

101 candidates to 83 candidates (82.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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)))
0.0b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.2b	(* 0.70711 (fma 0.27061 x 2.30753))
16.9b	(/ (* 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))

series226.0ms

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))
73.0ms	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify35.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 1 (7.0ms)

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

prune212.0ms

Filtered

77 candidates to 59 candidates (76.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

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))))
0.0b	(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)))
16.9b	(/ (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:

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)
8.0ms	(* 0.70711 (/ (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))

series246.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(fma (- x) 0.70711 (* 0.70711 (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))))
32.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
72.0ms	(* 0.70711 (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)))
66.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 1 (9.0ms)

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

prune299.0ms

Filtered

95 candidates to 76 candidates (80.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) (fma 0.04481 x 0.99229))
0.0b	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (pow (exp x) (fma 0.04481 x 0.99229))))) x))
0.0b	(+ 2.30753 (* x 0.27061))
3.3b	(log (pow (exp x) (fma 0.04481 x 0.99229)))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

134×	`*-un-lft-identity`
108×	`prod-diff`
103×	`add-sqr-sqrt`
96×	`add-cube-cbrt`
73×	`times-frac`
56×	`distribute-rgt-in` `distribute-lft-in`
18×	`distribute-lft-out`
12×	`associate-/r/`
8×	`log-prod`
7×	`pow1` `add-exp-log` `flip3-+` `flip-+`
6×	`unpow-prod-down` `associate-r` `add-cbrt-cube` `div-inv` `add-log-exp`
4×	`expm1-log1p-u` `pow-pow` `log1p-expm1-u`
3×	`pow-unpow` `exp-prod` `fma-def` `rem-log-exp` `associate-l`
2×	`unpow-prod-up` `pow-to-exp` `sub-neg` `associate-*r/` `pow-exp` `fma-udef` `difference-of-squares` `sqr-pow`
1×	`+-commutative` `flip3--` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 197

Calls

4 calls:

2.0ms	(pow (exp x) (fma 0.04481 x 0.99229))
116.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (pow (exp x) (fma 0.04481 x 0.99229))))) x))
2.0ms	(+ 2.30753 (* x 0.27061))
2.0ms	(log (pow (exp x) (fma 0.04481 x 0.99229)))

series526.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(pow (exp x) (fma 0.04481 x 0.99229))
344.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (pow (exp x) (fma 0.04481 x 0.99229))))) x))
33.0ms	(+ 2.30753 (* x 0.27061))
121.0ms	(log (pow (exp x) (fma 0.04481 x 0.99229)))

simplify100.0ms

Algorithm

egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	688	3950
1	2570	3185
2	5001	2818

prune388.0ms

Filtered

209 candidates to 89 candidates (42.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes13.0ms

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

sample353.0ms

Algorithm

intervals

Results

264.0ms

8000×

body

valid