Details

sample31.0ms

Algorithm

intervals

Results

16.0ms

283×

body

valid

simplify4.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
22	4837
21	4533
20	4220
19	3915
18	3605
17	3272
16	2914
15	2509
14	2029
13	1698
12	1246
11	750
10	447
9	347
8	287
7	262
6	225
5	152
4	94
3	57
2	36
1	20
0	10

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-cbrt-cube` `add-exp-log`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `fma-udef` `div-inv`

Counts

2 → 66

Calls

2 calls:

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

series145.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ (- z t) (- a t))
87.0ms	(fma (/ (- z t) (- a t)) y x)

simplify1.8s

Counts

72 → 72

Iterations

Iter	Nodes
done	5010
3	2057
2	657
1	266
0	115

prune421.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- a t)) (cbrt (- a t)))
0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))

rewrite99.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 113

Calls

4 calls:

73.0ms	(* (cbrt (- a t)) (cbrt (- a t)))
7.0ms	(cbrt (- a t))
7.0ms	(cbrt (- a t))
7.0ms	(cbrt (- a t))

series819.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(* (cbrt (- a t)) (cbrt (- a t)))
247.0ms	(cbrt (- a t))
229.0ms	(cbrt (- a t))
174.0ms	(cbrt (- a t))

simplify1.6s

Counts

125 → 125

Iterations

Iter	Nodes
done	5001
3	2090
2	743
1	295
0	137

prune777.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`cbrt-div` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 72

Calls

4 calls:

9.0ms	(cbrt (- a t))
12.0ms	(cbrt (- a t))
4.0ms	(cbrt (- a t))
5.0ms	(cbrt (- a t))

series866.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(cbrt (- a t))
204.0ms	(cbrt (- a t))
221.0ms	(cbrt (- a t))
218.0ms	(cbrt (- a t))

simplify2.2s

Counts

84 → 84

Iterations

Iter	Nodes
done	5001
4	1748
3	691
2	315
1	153
0	73

prune661.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- a t) (+ z t))
0.1b	(fma (/ (- (* z z) (* t t)) (* (- a t) (+ z t))) y x)
4.3b	(- (* z z) (* t t))
28.8b	(/ (- (* z z) (* t t)) (* (- a t) (+ z t)))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`add-cbrt-cube` `add-exp-log`
8×	`frac-times` `flip3--` `associate-/r/` `add-cube-cbrt` `flip--`
6×	`pow1` `flip3-+` `flip-+` `add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `times-frac` `associate-r` `associate-l/` `associate-r/` `insert-posit16` `log1p-expm1-u` `associate-/l*` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/`
1×	`distribute-rgt-in` `clear-num` `associate-/r` `sub-neg` `frac-2neg` `distribute-lft-in` `fma-neg` `diff-log` `div-sub` `prod-diff` `pow-prod-down` `-commutative` `fma-udef` `div-inv` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 100

Calls

4 calls:

43.0ms	(* (- a t) (+ z t))
0.0ms	(fma (/ (- (* z z) (* t t)) (* (- a t) (+ z t))) y x)
16.0ms	(- (* z z) (* t t))
55.0ms	(/ (- (* z z) (* t t)) (* (- a t) (+ z t)))

series719.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (- a t) (+ z t))
497.0ms	(fma (/ (- (* z z) (* t t)) (* (- a t) (+ z t))) y x)
43.0ms	(- (* z z) (* t t))
138.0ms	(/ (- (* z z) (* t t)) (* (- a t) (+ z t)))

simplify2.5s

Counts

112 → 112

Iterations

Iter	Nodes
done	5013
2	2377
1	543
0	175

prune666.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes383.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
0	9

end0.0ms

sample839.0ms

Algorithm

intervals

Results

554.0ms	8716×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid