Details

sample34.0ms

Algorithm

intervals

Results

13.0ms

269×

body

valid

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 4 (62.0ms)

Iter	Nodes	Cost
0	12	13
1	25	13
2	58	13
3	108	13
4	265	12
5	959	12
6	4331	12
done	5000	12

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z y) (+ (- t z) 1.0))
0.1b	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

rewrite96.0ms

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:

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

series255.0ms

Counts

2 → 6

Calls

2 calls:

89.0ms	(/ (- z y) (+ (- t z) 1.0))
166.0ms	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

simplify925.0ms

Counts

70 → 70

Iterations

Useful iterations: done (922.0ms)

Iter	Nodes	Cost
0	116	1048
1	284	1006
2	1028	942
done	5001	936

prune283.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) (- z y))
0.1b	(fma a (/ 1 (/ (+ (- t z) 1.0) (- z y))) x)
0.2b	(/ 1 (/ (+ (- t z) 1.0) (- z y)))

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

273×	`*-un-lft-identity`
218×	`times-frac`
143×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out` `distribute-lft-out--`
36×	`associate-/r*`
26×	`difference-of-squares`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`div-inv`
5×	`flip3--` `flip--`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`associate-+l-` `pow-flip` `flip3-+` `div-sub` `flip-+` `fma-udef` `inv-pow`

Counts

3 → 214

Calls

3 calls:

108.0ms	(/ (+ (- t z) 1.0) (- z y))
0.0ms	(fma a (/ 1 (/ (+ (- t z) 1.0) (- z y))) x)
71.0ms	(/ 1 (/ (+ (- t z) 1.0) (- z y)))

series524.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(/ (+ (- t z) 1.0) (- z y))
257.0ms	(fma a (/ 1 (/ (+ (- t z) 1.0) (- z y))) x)
168.0ms	(/ 1 (/ (+ (- t z) 1.0) (- z y)))

simplify2.3s

Counts

223 → 223

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	260	4252
1	671	3672
2	3840	3450
done	5002	3449

prune622.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x)) (cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x)))
0.6b	(cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x))
0.6b	(cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x))
0.6b	(cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

24.0ms	(* (cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x)) (cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x)))
1.0ms	(cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x))
1.0ms	(cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x))
1.0ms	(cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x))

series3.2s

Counts

4 → 12

Calls

4 calls:

923.0ms	(* (cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x)) (cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x)))
726.0ms	(cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x))
770.0ms	(cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x))
776.0ms	(cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x))

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	124	2539
1	323	2348
2	1149	2114
done	5001	1830

prune519.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x))
0.6b	(cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x))
0.6b	(cbrt (cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x)))
0.9b	(pow (cbrt (cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x))) (+ 3 1))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
14×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow-unpow` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-pow`
1×	`unpow-prod-up` `pow-to-exp` `pow-exp` `distribute-lft-out` `sqr-pow`

Counts

4 → 70

Calls

4 calls:

2.0ms	(cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x))
2.0ms	(cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x))
3.0ms	(cbrt (cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x)))
18.0ms	(pow (cbrt (cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x))) (+ 3 1))

series3.4s

Counts

4 → 12

Calls

4 calls:

681.0ms	(cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x))
820.0ms	(cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x))
746.0ms	(cbrt (cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x)))
1.2s	(pow (cbrt (cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x))) (+ 3 1))

simplify1.2s

Counts

82 → 82

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	177	2058
1	515	1863
2	1811	1644
done	5000	1597

prune518.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes302.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	12	12
done	12	12

end0.0ms

sample1.3s

Algorithm

intervals

Results

678.0ms	8498×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	640	valid