Details

sample37.0ms

Algorithm

intervals

Results

13.0ms

275×

body

valid

simplify5.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	4206
9	1419
8	740
7	408
6	286
5	190
4	115
3	60
2	32
1	17
0	10

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
0.8b	(fma y (/ (- z t) (- a t)) x)

rewrite33.0ms

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/` `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 → 64

Calls

2 calls:

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

series222.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(/ (- z t) (- a t))
150.0ms	(fma y (/ (- z t) (- a t)) x)

simplify2.1s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
3	4356
2	831
1	264
0	113

prune430.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* (- z t) (/ 1 (- a t)))
0.8b	(fma y (* (- z t) (/ 1 (- a t))) x)

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
32×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-/r` `associate-l*`
4×	`flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `fma-udef` `pow-flip` `inv-pow`

Counts

3 → 105

Calls

3 calls:

19.0ms	(/ 1 (- a t))
71.0ms	(* (- z t) (/ 1 (- a t)))
1.0ms	(fma y (* (- z t) (/ 1 (- a t))) x)

series296.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(/ 1 (- a t))
82.0ms	(* (- z t) (/ 1 (- a t)))
142.0ms	(fma y (* (- z t) (/ 1 (- a t))) x)

simplify4.1s

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
2	2793
1	356
0	149

prune748.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ 1 (- a t)))
0.6b	(cbrt (/ 1 (- a t)))
0.6b	(cbrt (/ 1 (- a t)))
0.8b	(fma y (* (- z t) (* (* (cbrt (/ 1 (- a t))) (cbrt (/ 1 (- a t)))) (cbrt (/ 1 (- a t))))) x)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

63×	`cbrt-prod`
49×	`add-sqr-sqrt` `*-un-lft-identity`
45×	`times-frac`
31×	`add-cube-cbrt`
9×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `flip3--` `pow1/3` `div-inv` `flip--`
1×	`fma-udef`

Counts

4 → 106

Calls

4 calls:

7.0ms	(cbrt (/ 1 (- a t)))
11.0ms	(cbrt (/ 1 (- a t)))
7.0ms	(cbrt (/ 1 (- a t)))
1.0ms	(fma y (* (- z t) (* (* (cbrt (/ 1 (- a t))) (cbrt (/ 1 (- a t)))) (cbrt (/ 1 (- a t))))) x)

series1.4s

Counts

4 → 12

Calls

4 calls:

323.0ms	(cbrt (/ 1 (- a t)))
209.0ms	(cbrt (/ 1 (- a t)))
699.0ms	(cbrt (/ 1 (- a t)))
150.0ms	(fma y (* (- z t) (* (* (cbrt (/ 1 (- a t))) (cbrt (/ 1 (- a t)))) (cbrt (/ 1 (- a t))))) x)

simplify1.1s

Counts

118 → 118

Iterations

Iter	Nodes
done	5000
3	1899
2	592
1	252
0	140

prune663.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- a t))
0.0b	(+ (* (/ y (- a t)) (- z t)) x)
11.4b	(* (/ y (- a t)) (- z t))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 145

Calls

3 calls:

9.0ms	(/ y (- a t))
19.0ms	(+ (* (/ y (- a t)) (- z t)) x)
45.0ms	(* (/ y (- a t)) (- z t))

series638.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ y (- a t))
341.0ms	(+ (* (/ y (- a t)) (- z t)) x)
262.0ms	(* (/ y (- a t)) (- z t))

simplify2.6s

Counts

154 → 154

Iterations

Iter	Nodes
done	5001
2	3114
1	628
0	226

prune870.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes429.0ms

Accuracy

0% (1.3b 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

sample1.3s

Algorithm

intervals

Results

622.0ms	8700×	body	80	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid