Details

sample41.0ms

Algorithm

intervals

Results

21.0ms

281×

body

valid

simplify4.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
21	4813
20	4487
19	4229
18	3906
17	3648
16	3322
15	3006
14	2545
13	1903
12	1348
11	863
10	583
9	411
8	337
7	254
6	203
5	147
4	96
3	53
2	31
1	18
0	10

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
2.8b	(fma (- z t) (/ y (- z a)) x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

12.0ms	(/ y (- z a))
0.0ms	(fma (- z t) (/ y (- z a)) x)

series133.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ y (- z a))
95.0ms	(fma (- z t) (/ y (- z a)) x)

simplify1.5s

Counts

57 → 57

Iterations

Iter	Nodes
done	5001
3	1405
2	462
1	179
0	94

prune398.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z a))
0.2b	(* y (/ 1 (- z a)))
2.8b	(fma (- z t) (* y (/ 1 (- z a))) x)

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
32×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-/r*`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `flip3--` `1-exp` `cbrt-unprod` `div-inv` `flip--`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `fma-udef` `pow-flip` `inv-pow`

Counts

3 → 102

Calls

3 calls:

23.0ms	(/ 1 (- z a))
50.0ms	(* y (/ 1 (- z a)))
1.0ms	(fma (- z t) (* y (/ 1 (- z a))) x)

series213.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(/ 1 (- z a))
66.0ms	(* y (/ 1 (- z a)))
88.0ms	(fma (- z t) (* y (/ 1 (- z a))) x)

simplify3.2s

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
4	4470
3	1829
2	802
1	305
0	135

prune574.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (- z t) (* y (/ 1 (- z a))) x))
2.8b	(fma (- z t) (* y (/ 1 (- z a))) x)
2.8b	(fma (- z t) (* y (/ 1 (- z a))) x)
2.8b	(fma (- z t) (* y (/ 1 (- z a))) x)

rewrite5.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 47

Calls

4 calls:

1.0ms	(cbrt (fma (- z t) (* y (/ 1 (- z a))) x))
0.0ms	(fma (- z t) (* y (/ 1 (- z a))) x)
0.0ms	(fma (- z t) (* y (/ 1 (- z a))) x)
1.0ms	(fma (- z t) (* y (/ 1 (- z a))) x)

series900.0ms

Counts

4 → 12

Calls

4 calls:

575.0ms	(cbrt (fma (- z t) (* y (/ 1 (- z a))) x))
101.0ms	(fma (- z t) (* y (/ 1 (- z a))) x)
108.0ms	(fma (- z t) (* y (/ 1 (- z a))) x)
116.0ms	(fma (- z t) (* y (/ 1 (- z a))) x)

simplify2.4s

Counts

59 → 59

Iterations

Iter	Nodes
done	5002
4	2560
3	578
2	188
1	90
0	50

prune457.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- z a)))
0.0b	(* y (- z t))
10.6b	(/ (* y (- z t)) (- z a))

rewrite89.0ms

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` `insert-posit16` `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 → 97

Calls

3 calls:

22.0ms	(+ x (/ (* y (- z t)) (- z a)))
25.0ms	(* y (- z t))
39.0ms	(/ (* y (- z t)) (- z a))

series252.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(+ x (/ (* y (- z t)) (- z a)))
47.0ms	(* y (- z t))
102.0ms	(/ (* y (- z t)) (- z a))

simplify2.8s

Counts

106 → 106

Iterations

Iter	Nodes
done	5000
3	4947
2	1329
1	476
0	185

prune556.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes411.0ms

Accuracy

0% (1.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	10

end0.0ms

sample1.2s

Algorithm

intervals

Results

855.0ms

8734×

body

valid