Details

sample42.0ms

Algorithm

intervals

Results

9.0ms

277×

body

valid

simplify7.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	4425
7	2447
6	898
5	413
4	196
3	80
2	38
1	19
0	10

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- y t))
7.3b	(/ x (* (- y z) (- y t)))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`prod-diff` `add-cube-cbrt`
12×	`flip3--` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-cbrt-cube` `add-exp-log`
8×	`frac-times` `associate-/r/`
5×	`associate-r` `associate-l`
4×	`pow1` `associate-l/` `associate-r/`
3×	`times-frac` `associate-/l*`
2×	`expm1-log1p-u` `cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
1×	`clear-num` `associate-/r` `frac-2neg` `pow-prod-down` `-commutative` `div-inv` `unswap-sqr`

Counts

2 → 87

Calls

2 calls:

64.0ms	(* (- y z) (- y t))
36.0ms	(/ x (* (- y z) (- y t)))

series183.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(* (- y z) (- y t))
136.0ms	(/ x (* (- y z) (- y t)))

simplify2.8s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	1336
1	436
0	179

prune969.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize86.0ms

Local error

Found 4 expressions with local error:

7.3b	(/ x (* (- y z) (- y t)))
24.8b	(cbrt (/ x (* (- y z) (- y t))))
24.8b	(cbrt (/ x (* (- y z) (- y t))))
24.8b	(cbrt (/ x (* (- y z) (- y t))))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

45×	`cbrt-prod`
32×	`associate-/r/`
24×	`flip3--` `flip--`
16×	`frac-times`
12×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
9×	`add-cbrt-cube` `add-exp-log`
8×	`associate-l/` `associate-r/`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`clear-num` `associate-/r*` `frac-2neg` `prod-exp` `cbrt-unprod`

Counts

4 → 113

Calls

4 calls:

26.0ms	(/ x (* (- y z) (- y t)))
24.0ms	(cbrt (/ x (* (- y z) (- y t))))
39.0ms	(cbrt (/ x (* (- y z) (- y t))))
46.0ms	(cbrt (/ x (* (- y z) (- y t))))

series1.4s

Counts

4 → 12

Calls

4 calls:

118.0ms	(/ x (* (- y z) (- y t)))
427.0ms	(cbrt (/ x (* (- y z) (- y t))))
476.0ms	(cbrt (/ x (* (- y z) (- y t))))
427.0ms	(cbrt (/ x (* (- y z) (- y t))))

simplify6.2s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
3	4981
2	1040
1	337
0	156

prune2.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize108.0ms

Local error

Found 4 expressions with local error:

7.3b	(/ x (* (- y z) (- y t)))
24.8b	(cbrt (/ x (* (- y z) (- y t))))
24.8b	(cbrt (/ x (* (- y z) (- y t))))
26.2b	(cbrt (* (- y z) (- y t)))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

31×	`cbrt-prod`
24×	`flip3--` `associate-/r/` `flip--`
16×	`frac-times`
10×	`add-sqr-sqrt` `cbrt-div` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac` `add-cbrt-cube` `add-exp-log`
8×	`associate-l/` `associate-r/`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `div-inv` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`clear-num` `associate-/r*` `frac-2neg` `prod-exp` `cbrt-unprod`

Counts

4 → 106

Calls

4 calls:

46.0ms	(/ x (* (- y z) (- y t)))
41.0ms	(cbrt (/ x (* (- y z) (- y t))))
39.0ms	(cbrt (/ x (* (- y z) (- y t))))
36.0ms	(cbrt (* (- y z) (- y t)))

series1.5s

Counts

4 → 12

Calls

4 calls:

142.0ms	(/ x (* (- y z) (- y t)))
423.0ms	(cbrt (/ x (* (- y z) (- y t))))
473.0ms	(cbrt (/ x (* (- y z) (- y t))))
454.0ms	(cbrt (* (- y z) (- y t)))

simplify2.1s

Counts

118 → 118

Iterations

Iter	Nodes
done	5001
2	1116
1	375
0	182

prune2.0s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (- y t))
0.0b	(/ 1 (- y z))
3.4b	(* (/ 1 (- y z)) (/ x (- y t)))

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
67×	`times-frac`
41×	`add-cube-cbrt`
31×	`add-exp-log`
21×	`associate-r` `associate-l`
19×	`add-cbrt-cube`
14×	`distribute-lft-out--` `difference-of-squares`
11×	`div-exp`
10×	`associate-/r*`
8×	`prod-exp` `associate-/r/`
6×	`pow1` `cbrt-undiv` `associate-/l*` `unswap-sqr`
4×	`flip3--` `cbrt-unprod` `div-inv` `flip--`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `pow-flip` `inv-pow`

Counts

3 → 159

Calls

3 calls:

22.0ms	(/ x (- y t))
26.0ms	(/ 1 (- y z))
124.0ms	(* (/ 1 (- y z)) (/ x (- y t)))

series423.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(/ x (- y t))
59.0ms	(/ 1 (- y z))
308.0ms	(* (/ 1 (- y z)) (/ x (- y t)))

simplify3.0s

Counts

168 → 168

Iterations

Iter	Nodes
done	5000
2	1570
1	559
0	207

prune1.8s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes1.5s

Accuracy

24.9% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.6b

bsearch3.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	17
1	17
0	16

end0.0ms

sample1.5s

Algorithm

intervals

Results

561.0ms

8467×

body

valid