Details

sample126.0ms

Algorithm

intervals

Results

54.0ms

492×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	3501
4	954
3	258
2	87
1	33
0	18

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.3b

localize35.0ms

Local error

Found 1 expressions with local error:

3.1b	(fma (* i (- c)) (fma b c a) (* y x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (* i (- c)) (fma b c a) (* y x))

series207.0ms

Counts

1 → 3

Calls

1 calls:

206.0ms

(fma (* i (- c)) (fma b c a) (* y x))

simplify556.0ms

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
3	811
2	173
1	60
0	31

prune153.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.2b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
0.1b	(* (+ a (* b c)) c)
7.9b	(* (* (+ a (* b c)) c) i)

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

14.0ms	(+ (* x y) (* z t))
78.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
14.0ms	(* (+ a (* b c)) c)
47.0ms	(* (* (+ a (* b c)) c) i)

series1.1s

Counts

4 → 12

Calls

4 calls:

70.0ms	(+ (* x y) (* z t))
862.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
67.0ms	(* (+ a (* b c)) c)
122.0ms	(* (* (+ a (* b c)) c) i)

simplify2.1s

Counts

96 → 96

Iterations

Iter	Nodes
done	5001
2	2818
1	493
0	163

prune894.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
1.2b	(fma (* (* i b) c) c (* a (* i c)))
3.7b	(* a (* i c))
5.9b	(* (* i b) c)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `associate-r` `associate-l` `log1p-expm1-u`
2×	`*-commutative`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `flip-+` `fma-udef`

Counts

4 → 64

Calls

4 calls:

7.0ms	(+ (* x y) (* z t))
0.0ms	(fma (* (* i b) c) c (* a (* i c)))
14.0ms	(* a (* i c))
19.0ms	(* (* i b) c)

series311.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(+ (* x y) (* z t))
126.0ms	(fma (* (* i b) c) c (* a (* i c)))
56.0ms	(* a (* i c))
59.0ms	(* (* i b) c)

simplify1.1s

Counts

76 → 76

Iterations

Iter	Nodes
done	5001
2	1597
1	318
0	119

prune689.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
1.2b	(fma (pow (* b (* c i)) 1) c (* a (* i c)))
3.7b	(* a (* i c))
4.9b	(* b (* c i))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-r` `*-commutative`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `flip-+` `fma-udef`

Counts

4 → 64

Calls

4 calls:

26.0ms	(+ (* x y) (* z t))
1.0ms	(fma (pow (* b (* c i)) 1) c (* a (* i c)))
25.0ms	(* a (* i c))
26.0ms	(* b (* c i))

series325.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(+ (* x y) (* z t))
131.0ms	(fma (pow (* b (* c i)) 1) c (* a (* i c)))
61.0ms	(* a (* i c))
54.0ms	(* b (* c i))

simplify1.0s

Counts

76 → 76

Iterations

Iter	Nodes
done	5001
2	1501
1	311
0	118

prune611.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes1.9s

Accuracy

81.1% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.6b

bsearch2.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	53
3	53
2	51
1	49
0	33

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.6s

15075×

body

valid