Details

sample31.0ms

Algorithm

intervals

Results

16.0ms

276×

body

valid

simplify4.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
18	4706
17	4374
16	4030
15	3643
14	3174
13	2610
12	1673
11	892
10	514
9	408
8	343
7	276
6	198
5	139
4	94
3	58
2	33
1	17
0	10

prune11.0ms

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	(/ (- y z) (- a z))
2.2b	(fma t (/ (- y z) (- a z)) x)

rewrite18.0ms

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:

16.0ms	(/ (- y z) (- a z))
0.0ms	(fma t (/ (- y z) (- a z)) x)

series152.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(/ (- y z) (- a z))
92.0ms	(fma t (/ (- y z) (- a z)) x)

simplify1.6s

Counts

72 → 72

Iterations

Iter	Nodes
done	5004
3	2021
2	655
1	266
0	115

prune385.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a z))
0.2b	(* (- y z) (/ 1 (- a z)))
2.2b	(fma t (* (- y z) (/ 1 (- a z))) x)

rewrite65.0ms

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` `insert-posit16` `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 → 108

Calls

3 calls:

12.0ms	(/ 1 (- a z))
51.0ms	(* (- y z) (/ 1 (- a z)))
0.0ms	(fma t (* (- y z) (/ 1 (- a z))) x)

series244.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ 1 (- a z))
74.0ms	(* (- y z) (/ 1 (- a z)))
117.0ms	(fma t (* (- y z) (/ 1 (- a z))) x)

simplify2.3s

Counts

117 → 117

Iterations

Iter	Nodes
done	5001
3	3708
2	1198
1	355
0	152

prune574.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y z) t)
0.0b	(+ x (/ (* (- y z) t) (- a z)))
8.3b	(/ (* (- y z) t) (- a z))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-cbrt-cube` `add-exp-log`
8×	`add-cube-cbrt`
5×	`pow1` `associate-/r` `times-frac` `associate-l*` `add-log-exp`
4×	`associate-*l/`
3×	`expm1-log1p-u` `fma-def` `flip3--` `associate-r` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `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 → 75

Calls

3 calls:

18.0ms	(* (- y z) t)
17.0ms	(+ x (/ (* (- y z) t) (- a z)))
21.0ms	(/ (* (- y z) t) (- a z))

series253.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* (- y z) t)
106.0ms	(+ x (/ (* (- y z) t) (- a z)))
98.0ms	(/ (* (- y z) t) (- a z))

simplify1.4s

Counts

84 → 84

Iterations

Iter	Nodes
done	5002
2	1174
1	351
0	133

prune452.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
31×	`times-frac`
24×	`add-cube-cbrt`
21×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/r` `associate-l*` `add-log-exp`
4×	`flip3--` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `fma-def` `insert-posit16` `log1p-expm1-u` `associate-/l*`
2×	`frac-times` `cbrt-undiv` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

3 → 106

Calls

3 calls:

8.0ms	(/ t (- a z))
6.0ms	(+ x (* (- y z) (/ t (- a z))))
27.0ms	(* (- y z) (/ t (- a z)))

series281.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ t (- a z))
135.0ms	(+ x (* (- y z) (/ t (- a z))))
102.0ms	(* (- y z) (/ t (- a z)))

simplify1.5s

Counts

115 → 115

Iterations

Iter	Nodes
done	5001
2	1498
1	405
0	163

prune474.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes374.0ms

Accuracy

73.8% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.5b

bsearch1.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	25
1	25
0	21

end0.0ms

sample1.0s

Algorithm

intervals

Results

589.0ms	8708×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid