Details

sample33.0ms

Algorithm

intervals

Results

17.0ms

339×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5005
7	1596
6	565
5	286
4	200
3	99
2	47
1	25
0	14

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (fma z 1.0 1) z)
0.2b	(fma (/ 2.0 t) (/ (fma z 1.0 1) z) (/ x y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

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

series159.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(/ (fma z 1.0 1) z)
85.0ms	(fma (/ 2.0 t) (/ (fma z 1.0 1) z) (/ x y))

simplify2.3s

Counts

45 → 45

Iterations

Iter	Nodes
done	5181
4	3437
3	870
2	325
1	134
0	77

prune265.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

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)

rewrite11.0ms

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)
7.0ms	(cbrt z)
1.0ms	(cbrt z)

series873.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(cbrt (fma z 1.0 1))
254.0ms	(cbrt z)
243.0ms	(cbrt z)
235.0ms	(cbrt z)

simplify1.8s

Counts

64 → 64

Iterations

Iter	Nodes
done	5057
3	1638
2	468
1	182
0	86

prune424.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* z 2.0) (- 1.0 t))
0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
9.6b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
18×	`prod-diff`
13×	`fma-def` `add-cbrt-cube` `add-exp-log`
12×	`times-frac`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1`
5×	`associate-r` `add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `flip3-+` `div-exp` `associate-*r/` `flip-+` `div-inv` `associate-/l/`
1×	`+-commutative` `clear-num` `associate-/r` `sum-log` `frac-2neg` `flip3--` `associate-l` `frac-add` `-commutative` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 99

Calls

3 calls:

36.0ms	(* (* z 2.0) (- 1.0 t))
44.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
34.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series244.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(* (* z 2.0) (- 1.0 t))
81.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
90.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify1.8s

Counts

108 → 108

Iterations

Iter	Nodes
done	5001
2	2011
1	592
0	193

prune589.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* z 2.0) (- 1.0 t))
0.1b	(fma x (/ 1 y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
9.6b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`prod-diff` `add-cube-cbrt`
13×	`add-cbrt-cube` `add-exp-log`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1`
5×	`associate-r`
4×	`prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `times-frac` `pow-prod-down` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`cbrt-undiv` `sub-neg` `div-exp` `associate-*r/` `associate-/l/`
1×	`clear-num` `associate-/r` `frac-2neg` `flip3-+` `flip3--` `associate-l` `-commutative` `flip-+` `fma-udef` `div-inv` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 81

Calls

3 calls:

41.0ms	(* (* z 2.0) (- 1.0 t))
0.0ms	(fma x (/ 1 y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
34.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series292.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(* (* z 2.0) (- 1.0 t))
134.0ms	(fma x (/ 1 y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
103.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify1.6s

Counts

90 → 90

Iterations

Iter	Nodes
done	5001
2	1672
1	510
0	180

prune470.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes523.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	13

end0.0ms

sample1.3s

Algorithm

intervals

Results

957.0ms

10415×

body

valid