Details

sample135.0ms

Algorithm

intervals

Results

93.0ms

502×

body

valid

simplify695.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2026
4	911
3	255
2	86
1	33
0	18

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.3b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma t z (* y x))
0.0b	(- (fma t z (* y x)) (* i (* (fma b c a) c)))
0.1b	(* (fma b c a) c)
7.2b	(* i (* (fma b c a) c))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l` `add-log-exp`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
3×	`fma-neg` `prod-diff`
2×	`*-commutative` `fma-udef`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

0.0ms	(fma t z (* y x))
11.0ms	(- (fma t z (* y x)) (* i (* (fma b c a) c)))
13.0ms	(* (fma b c a) c)
26.0ms	(* i (* (fma b c a) c))

series1.1s

Counts

4 → 12

Calls

4 calls:

69.0ms	(fma t z (* y x))
884.0ms	(- (fma t z (* y x)) (* i (* (fma b c a) c)))
55.0ms	(* (fma b c a) c)
91.0ms	(* i (* (fma b c a) c))

simplify590.0ms

Counts

87 → 87

Iterations

Iter	Nodes
done	2004
2	828
1	256
0	120

prune686.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.7b

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (fma b c a) c)
7.2b	(* (* (fma b c a) c) i)
7.2b	(* (* (fma b c a) c) i)
50.3b	(fma (- (* (fma b c a) c)) i (* (* (fma b c a) c) i))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt`
9×	`associate-r`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
1×	`fma-udef` `unswap-sqr`

Counts

4 → 74

Calls

4 calls:

5.0ms	(* (fma b c a) c)
21.0ms	(* (* (fma b c a) c) i)
21.0ms	(* (* (fma b c a) c) i)
0.0ms	(fma (- (* (fma b c a) c)) i (* (* (fma b c a) c) i))

series341.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (fma b c a) c)
82.0ms	(* (* (fma b c a) c) i)
71.0ms	(* (* (fma b c a) c) i)
126.0ms	(fma (- (* (fma b c a) c)) i (* (* (fma b c a) c) i))

simplify556.0ms

Counts

86 → 86

Iterations

Iter	Nodes
done	2000
2	565
1	179
0	84

prune675.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.7b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt c)
0.6b	(cbrt c)
0.6b	(cbrt c)
7.2b	(* i (* (* (fma b c a) (* (cbrt c) (cbrt c))) (cbrt c)))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log`
13×	`add-cbrt-cube`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l`
1×	`associate-r` `*-commutative`

Counts

4 → 69

Calls

4 calls:

1.0ms	(cbrt c)
1.0ms	(cbrt c)
1.0ms	(cbrt c)
169.0ms	(* i (* (* (fma b c a) (* (cbrt c) (cbrt c))) (cbrt c)))

series950.0ms

Counts

4 → 12

Calls

4 calls:

276.0ms	(cbrt c)
276.0ms	(cbrt c)
270.0ms	(cbrt c)
127.0ms	(* i (* (* (fma b c a) (* (cbrt c) (cbrt c))) (cbrt c)))

simplify819.0ms

Counts

81 → 81

Iterations

Iter	Nodes
done	2001
2	808
1	243
0	92

prune599.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.7b

localize53.0ms

Local error

Found 4 expressions with local error:

7.2b	(* i (* (* (cbrt (* (fma b c a) c)) (cbrt (* (fma b c a) c))) (cbrt (* (fma b c a) c))))
12.3b	(cbrt (* (fma b c a) c))
12.3b	(cbrt (* (fma b c a) c))
12.3b	(cbrt (* (fma b c a) c))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log`
9×	`add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-l`
1×	`associate-r` `*-commutative`

Counts

4 → 60

Calls

4 calls:

95.0ms	(* i (* (* (cbrt (* (fma b c a) c)) (cbrt (* (fma b c a) c))) (cbrt (* (fma b c a) c))))
5.0ms	(cbrt (* (fma b c a) c))
5.0ms	(cbrt (* (fma b c a) c))
5.0ms	(cbrt (* (fma b c a) c))

series571.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* i (* (* (cbrt (* (fma b c a) c)) (cbrt (* (fma b c a) c))) (cbrt (* (fma b c a) c))))
148.0ms	(cbrt (* (fma b c a) c))
156.0ms	(cbrt (* (fma b c a) c))
169.0ms	(cbrt (* (fma b c a) c))

simplify534.0ms

Counts

72 → 72

Iterations

Iter	Nodes
done	2000
2	754
1	272
0	112

prune634.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.7b

regimes883.0ms

Accuracy

89.9% (0.5b remaining)

Error of 1.5b against oracle of 1.0b and baseline of 6.0b

bsearch239.0ms

Steps

Iters	Range		Point
5	3.1401750758624414e-30	6.65017255332179e-30	6.218371822021183e-30
7	-3.787513513149808e+52	-1.745357957030081e+51	-1.7711710378706902e+51

simplify10.0ms

Iterations

Iter	Nodes
done	55
2	55
1	51
0	31

end0.0ms

sample3.3s

Algorithm

intervals

Results

2.1s

15035×

body

valid