Details

sample41.0ms

Algorithm

intervals

Results

22.0ms

256×

body

valid

simplify20.6s

Counts

1 → 1

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	16	19
1	31	19
2	59	16
3	87	16
4	112	16
5	126	16
6	142	16
7	181	16
8	245	16
9	273	16
10	346	16
11	542	16
12	794	16
13	1100	16
14	1404	16
15	1637	16
16	1979	16
17	2694	16
18	3412	16
19	4433	16
20	4990	16
done	5000	16

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.70711 (- (/ (+ 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)))
13.2b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite262.0ms

Algorithm

rewrite-expression-head

Rules

98×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
90×	`prod-diff`
89×	`add-cube-cbrt`
64×	`times-frac`
48×	`distribute-rgt-in` `distribute-lft-in`
14×	`associate-/r/`
10×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
9×	`associate-r`
8×	`pow1`
7×	`div-inv`
6×	`associate-l` `add-log-exp`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
3×	`fma-def` `associate-/r` `associate-/l`
2×	`sub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate-/l/` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3--` `frac-2neg` `div-exp` `clear-num` `sum-log` `flip--` `distribute-lft-out--`

Counts

4 → 192

Calls

4 calls:

175.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
8.0ms	(+ 2.30753 (* x 0.27061))
28.0ms	(* x (+ 0.99229 (* x 0.04481)))
41.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series298.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
47.0ms	(+ 2.30753 (* x 0.27061))
67.0ms	(* x (+ 0.99229 (* x 0.04481)))
65.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.7s

Counts

204 → 204

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	366	7100
1	778	5859
2	2170	4824
done	5000	4422

prune591.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 2.30753 (* x 0.27061))
0.1b	(exp (* x (fma 0.04481 x 0.99229)))
0.1b	(* x (fma 0.04481 x 0.99229))
3.4b	(log (exp (* x (fma 0.04481 x 0.99229))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`add-log-exp`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `fma-udef`
5×	`log-prod`
4×	`expm1-log1p-u` `exp-sum` `log1p-expm1-u`
3×	`distribute-rgt-in` `fma-def` `distribute-lft-in` `associate-r` `associate-l` `log-pow`
2×	`exp-prod` `exp-to-pow`
1×	`+-commutative` `flip3-+` `rem-log-exp` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `rem-exp-log` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

16.0ms	(+ 2.30753 (* x 0.27061))
5.0ms	(exp (* x (fma 0.04481 x 0.99229)))
8.0ms	(* x (fma 0.04481 x 0.99229))
5.0ms	(log (exp (* x (fma 0.04481 x 0.99229))))

series251.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ 2.30753 (* x 0.27061))
26.0ms	(exp (* x (fma 0.04481 x 0.99229)))
90.0ms	(* x (fma 0.04481 x 0.99229))
87.0ms	(log (exp (* x (fma 0.04481 x 0.99229))))

simplify1.4s

Counts

82 → 82

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	108	727
1	218	649
2	567	573
3	1685	573
done	5000	571

prune336.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.2b	(pow (* (- (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x) 0.70711) 3)
13.2b	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
17.3b	(cbrt (pow (* (- (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x) 0.70711) 3))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`add-exp-log` `times-frac` `add-cbrt-cube`
8×	`cbrt-prod`
7×	`pow1`
4×	`cube-div` `expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-/r` `associate-/l`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `flip3--` `pow-pow` `unpow3` `cube-prod` `pow-exp` `flip--` `rem-cube-cbrt` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `pow1/3` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `rem-cbrt-cube` `cbrt-unprod` `fma-udef` `div-inv`

Counts

4 → 86

Calls

4 calls:

0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
33.0ms	(pow (* (- (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x) 0.70711) 3)
9.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
16.0ms	(cbrt (pow (* (- (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x) 0.70711) 3))

series356.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
120.0ms	(pow (* (- (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x) 0.70711) 3)
91.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
100.0ms	(cbrt (pow (* (- (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x) 0.70711) 3))

simplify3.8s

Counts

98 → 98

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	180	2125
1	387	1923
2	1087	1754
3	4903	1729
done	5000	1729

prune492.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes14.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	20
1	22	20
done	22	20

end0.0ms

sample830.0ms

Algorithm

intervals

Results

624.0ms

8000×

body

valid