Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

270×

body

valid

simplify1.0s

Counts

1 → 1

Iterations

Useful iterations: 4 (30.0ms)

Iter	Nodes	Cost
0	12	13
1	25	13
2	58	13
3	108	13
4	194	12
5	319	12
6	512	12
7	769	12
8	1108	12
9	1346	12
10	1398	12
done	1398	12

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z y) (+ (- t z) 1.0))
0.5b	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out` `distribute-lft-out--`
6×	`difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

28.0ms	(/ (- z y) (+ (- t z) 1.0))
0.0ms	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

series141.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(/ (- z y) (+ (- t z) 1.0))
92.0ms	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

simplify1.2s

Counts

70 → 70

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	116	1048
1	279	1006
2	766	940
3	3103	936
done	5000	934

prune180.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* a (/ (- z y) (+ (- t z) 1.0))) x)
0.0b	(/ (- z y) (+ (- t z) 1.0))
0.5b	(* a (/ (- z y) (+ (- t z) 1.0)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

104×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out` `distribute-lft-out--`
11×	`difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`expm1-log1p-u` `flip3-+` `associate-l` `flip-+` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `flip3--` `fma-def` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip--`

Counts

3 → 120

Calls

3 calls:

15.0ms	(+ (* a (/ (- z y) (+ (- t z) 1.0))) x)
25.0ms	(/ (- z y) (+ (- t z) 1.0))
53.0ms	(* a (/ (- z y) (+ (- t z) 1.0)))

series250.0ms

Counts

3 → 9

Calls

3 calls:

117.0ms	(+ (* a (/ (- z y) (+ (- t z) 1.0))) x)
51.0ms	(/ (- z y) (+ (- t z) 1.0))
83.0ms	(* a (/ (- z y) (+ (- t z) 1.0)))

simplify733.0ms

Counts

129 → 129

Iterations

Useful iterations: 2 (166.0ms)

Iter	Nodes	Cost
0	171	1889
1	458	1750
2	1548	1636
done	5000	1636

prune301.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- z y)) (cbrt (- z y)))
0.5b	(cbrt (- z y))
0.5b	(cbrt (- z y))
0.5b	(cbrt (- z y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

20.0ms	(* (cbrt (- z y)) (cbrt (- z y)))
2.0ms	(cbrt (- z y))
2.0ms	(cbrt (- z y))
2.0ms	(cbrt (- z y))

series611.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(* (cbrt (- z y)) (cbrt (- z y)))
156.0ms	(cbrt (- z y))
159.0ms	(cbrt (- z y))
159.0ms	(cbrt (- z y))

simplify2.2s

Counts

121 → 121

Iterations

Useful iterations: 3 (696.0ms)

Iter	Nodes	Cost
0	135	1434
1	271	1320
2	814	1262
3	3525	1156
done	5000	1156

prune466.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
0.0b	(/ (+ (- t z) 1.0) a)
9.9b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

874×	`*-un-lft-identity`
713×	`times-frac`
546×	`add-sqr-sqrt`
383×	`add-cube-cbrt`
300×	`prod-diff`
145×	`distribute-lft-out--`
134×	`distribute-lft-out`
80×	`difference-of-squares`
26×	`div-inv`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/r/` `associate-/l/`
3×	`pow1` `expm1-log1p-u` `fma-neg` `div-sub` `log1p-expm1-u`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`associate-+l-` `sub-neg` `flip3-+` `diff-log` `flip-+` `associate--r-`

Counts

3 → 501

Calls

3 calls:

83.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
36.0ms	(/ (+ (- t z) 1.0) a)
28.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series262.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
35.0ms	(/ (+ (- t z) 1.0) a)
133.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify617.0ms

Counts

510 → 510

Iterations

Useful iterations: done (585.0ms)

Iter	Nodes	Cost
0	659	29857
1	1796	27457
done	5000	27085

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes169.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	39
1	22	39
done	22	39

end0.0ms

sample538.0ms

Algorithm

intervals

Results

281.0ms

8489×

body

valid