Details

sample55.0ms

Algorithm

intervals

Results

19.0ms

281×

body

valid

simplify5.6s

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

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.5b	(fma y (/ (- z t) (- a t)) x)

rewrite23.0ms

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:

21.0ms	(/ (- z t) (- a t))
0.0ms	(fma y (/ (- z t) (- a t)) x)

series244.0ms

Counts

2 → 6

Calls

2 calls:

94.0ms	(/ (- z t) (- a t))
150.0ms	(fma y (/ (- z t) (- a t)) x)

simplify2.4s

Counts

70 → 70

Iterations

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

prune514.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.5b	(/ 1 (/ (- a t) (- z t)))
1.5b	(fma y (/ 1 (/ (- a t) (- z t))) x)

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 214

Calls

3 calls:

20.0ms	(/ (- a t) (- z t))
37.0ms	(/ 1 (/ (- a t) (- z t)))
0.0ms	(fma y (/ 1 (/ (- a t) (- z t))) x)

series662.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(/ (- a t) (- z t))
259.0ms	(/ 1 (/ (- a t) (- z t)))
303.0ms	(fma y (/ 1 (/ (- a t) (- z t))) x)

simplify2.0s

Counts

223 → 223

Iterations

Iter	Nodes
done	5000
2	4061
1	703
0	270

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma y (/ 1 (/ (- a t) (- z t))) x))
1.5b	(fma y (/ 1 (/ (- a t) (- z t))) x)
1.5b	(fma y (/ 1 (/ (- a t) (- z t))) x)
1.5b	(fma y (/ 1 (/ (- a t) (- z t))) x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

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

series2.1s

Counts

4 → 12

Calls

4 calls:

1.1s	(cbrt (fma y (/ 1 (/ (- a t) (- z t))) x))
356.0ms	(fma y (/ 1 (/ (- a t) (- z t))) x)
322.0ms	(fma y (/ 1 (/ (- a t) (- z t))) x)
318.0ms	(fma y (/ 1 (/ (- a t) (- z t))) x)

simplify1.8s

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
3	2315
2	476
1	164
0	77

prune509.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ (* y (- z t)) (- a t)))
11.1b	(/ (* y (- z t)) (- a t))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 94

Calls

3 calls:

23.0ms	(* y (- z t))
22.0ms	(+ x (/ (* y (- z t)) (- a t)))
41.0ms	(/ (* y (- z t)) (- a t))

series328.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(* y (- z t))
150.0ms	(+ x (/ (* y (- z t)) (- a t)))
120.0ms	(/ (* y (- z t)) (- a t))

simplify1.8s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	1883
1	473
0	182

prune524.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes483.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	10

end0.0ms

sample1.4s

Algorithm

intervals

Results

544.0ms	8719×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid