Details

sample56.0ms

Algorithm

intervals

Results

28.0ms

339×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	4902
6	1065
5	403
4	228
3	106
2	49
1	25
0	14

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (fma z 1.0 1) (* t z)) 1)
0.0b	(fma (- (/ (fma z 1.0 1) (* t z)) 1) 2.0 (/ x y))
9.1b	(/ (fma z 1.0 1) (* t z))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
21×	`prod-diff`
20×	`add-cube-cbrt`
15×	`times-frac`
14×	`add-exp-log`
8×	`add-cbrt-cube`
7×	`fma-neg`
5×	`div-inv` `add-log-exp`
4×	`div-exp`
3×	`expm1-log1p-u` `pow1` `expm1-def` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `prod-exp` `difference-of-squares`
1×	`clear-num` `associate-/r*` `sub-neg` `frac-2neg` `flip3--` `diff-log` `difference-of-sqr-1` `cbrt-unprod` `fma-udef` `flip--` `distribute-lft-out--`

Counts

3 → 82

Calls

3 calls:

42.0ms	(- (/ (fma z 1.0 1) (* t z)) 1)
0.0ms	(fma (- (/ (fma z 1.0 1) (* t z)) 1) 2.0 (/ x y))
12.0ms	(/ (fma z 1.0 1) (* t z))

series205.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(- (/ (fma z 1.0 1) (* t z)) 1)
85.0ms	(fma (- (/ (fma z 1.0 1) (* t z)) 1) 2.0 (/ x y))
58.0ms	(/ (fma z 1.0 1) (* t z))

simplify1.3s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	1112
1	318
0	135

prune529.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (fma z 1.0 1) (* t z)) -1)
0.0b	(fma (+ (/ (fma z 1.0 1) (* t z)) -1) 2.0 (/ x y))
9.1b	(/ (fma z 1.0 1) (* t z))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log`
7×	`fma-def` `add-cube-cbrt`
6×	`times-frac`
5×	`add-log-exp`
3×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `div-inv`
1×	`+-commutative` `difference-of-sqr--1` `clear-num` `associate-/r*` `sum-log` `frac-2neg` `flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `fma-udef` `distribute-lft-out`

Counts

3 → 55

Calls

3 calls:

29.0ms	(+ (/ (fma z 1.0 1) (* t z)) -1)
0.0ms	(fma (+ (/ (fma z 1.0 1) (* t z)) -1) 2.0 (/ x y))
11.0ms	(/ (fma z 1.0 1) (* t z))

series209.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(+ (/ (fma z 1.0 1) (* t z)) -1)
101.0ms	(fma (+ (/ (fma z 1.0 1) (* t z)) -1) 2.0 (/ x y))
64.0ms	(/ (fma z 1.0 1) (* t z))

simplify2.6s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
3	4921
2	780
1	232
0	99

prune483.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (fma z 1.0 1) z)
0.0b	(fma (fma (/ 1 t) (/ (fma z 1.0 1) z) -1) 2.0 (/ x y))
0.1b	(fma (/ 1 t) (/ (fma z 1.0 1) z) -1)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
5×	`add-cbrt-cube` `add-exp-log`
3×	`expm1-log1p-u` `pow1` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`fma-udef`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

3 → 49

Calls

3 calls:

6.0ms	(/ (fma z 1.0 1) z)
0.0ms	(fma (fma (/ 1 t) (/ (fma z 1.0 1) z) -1) 2.0 (/ x y))
1.0ms	(fma (/ 1 t) (/ (fma z 1.0 1) z) -1)

series218.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(/ (fma z 1.0 1) z)
90.0ms	(fma (fma (/ 1 t) (/ (fma z 1.0 1) z) -1) 2.0 (/ x y))
49.0ms	(fma (/ 1 t) (/ (fma z 1.0 1) z) -1)

simplify1.9s

Counts

58 → 58

Iterations

Iter	Nodes
done	5001
3	2423
2	474
1	166
0	93

prune382.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (fma z 1.0 1))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt (fma z 1.0 1))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series886.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(cbrt (fma z 1.0 1))
232.0ms	(cbrt z)
268.0ms	(cbrt z)
235.0ms	(cbrt z)

simplify2.1s

Counts

64 → 64

Iterations

Iter	Nodes
done	5002
3	2891
2	588
1	182
0	86

prune643.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes523.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	18
1	18
0	14

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s

10415×

body

valid