Details

sample33.0ms

Algorithm

intervals

Results

20.0ms

289×

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

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.5b	(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:

17.0ms	(/ (- y z) (- a z))
0.0ms	(fma t (/ (- y z) (- a z)) x)

series197.0ms

Counts

2 → 6

Calls

2 calls:

77.0ms	(/ (- y z) (- a z))
119.0ms	(fma t (/ (- y z) (- a z)) x)

simplify1.7s

Counts

72 → 72

Iterations

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

prune367.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (- y z) (/ 1 (- a z)))
1.5b	(fma t (* (- y z) (/ 1 (- a z))) x)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`-un-lft-identity` `associate-r*`
17×	`times-frac`
12×	`add-cube-cbrt`
11×	`add-exp-log`
7×	`add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `prod-exp` `distribute-lft-out--` `difference-of-squares`
3×	`flip3--` `flip--` `unswap-sqr`
2×	`expm1-log1p-u` `frac-times` `div-exp` `associate-*l/` `associate-/r/` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

32.0ms	(* (- y z) (/ 1 (- a z)))
0.0ms	(fma t (* (- y z) (/ 1 (- a z))) x)

series189.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(* (- y z) (/ 1 (- a z)))
102.0ms	(fma t (* (- y z) (/ 1 (- a z))) x)

simplify2.4s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
3	3067
2	977
1	324
0	133

prune356.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ 1 (- a z)))
0.6b	(cbrt (/ 1 (- a z)))
0.6b	(cbrt (/ 1 (- a z)))
1.5b	(fma t (* (* (- y z) (* (cbrt (/ 1 (- a z))) (cbrt (/ 1 (- a z))))) (cbrt (/ 1 (- a z)))) x)

rewrite20.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `flip3--` `pow1/3` `div-inv` `flip--`
1×	`fma-udef`

Counts

4 → 110

Calls

4 calls:

6.0ms	(cbrt (/ 1 (- a z)))
6.0ms	(cbrt (/ 1 (- a z)))
6.0ms	(cbrt (/ 1 (- a z)))
0.0ms	(fma t (* (* (- y z) (* (cbrt (/ 1 (- a z))) (cbrt (/ 1 (- a z))))) (cbrt (/ 1 (- a z)))) x)

series691.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(cbrt (/ 1 (- a z)))
182.0ms	(cbrt (/ 1 (- a z)))
190.0ms	(cbrt (/ 1 (- a z)))
118.0ms	(fma t (* (* (- y z) (* (cbrt (/ 1 (- a z))) (cbrt (/ 1 (- a z))))) (cbrt (/ 1 (- a z)))) x)

simplify3.0s

Counts

122 → 122

Iterations

Iter	Nodes
done	5000
4	4872
3	1343
2	522
1	256
0	143

prune678.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y z) t)
0.0b	(+ x (/ (* (- y z) t) (- a z)))
7.9b	(/ (* (- y z) t) (- a z))

rewrite83.0ms

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:

25.0ms	(* (- y z) t)
22.0ms	(+ x (/ (* (- y z) t) (- a z)))
35.0ms	(/ (* (- y z) t) (- a z))

series278.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(* (- y z) t)
129.0ms	(+ x (/ (* (- y z) t) (- a z)))
108.0ms	(/ (* (- y z) t) (- a z))

simplify1.4s

Counts

84 → 84

Iterations

Iter	Nodes
done	5002
2	1174
1	351
0	133

prune397.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes470.0ms

Accuracy

76.5% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.3b

bsearch2.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	26
1	26
0	19

end0.0ms

sample1.3s

Algorithm

intervals

Results

915.0ms	8694×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid