Details

sample52.0ms

Algorithm

intervals

Results

20.0ms

342×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	3315
7	1018
6	353
5	156
4	89
3	51
2	28
1	14
0	8

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 1 expressions with local error:

1.6b	(fma (- y x) (/ z t) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (- y x) (/ z t) x)

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(fma (- y x) (/ z t) x)

simplify1.2s

Counts

13 → 13

Iterations

Iter	Nodes
done	5001
4	1513
3	263
2	86
1	41
0	23

prune68.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) t)
5.3b	(* z (/ (- y x) t))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`times-frac`
22×	`add-cube-cbrt`
19×	`associate-r`
9×	`add-cbrt-cube` `add-exp-log`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/l*`
4×	`pow1`
3×	`associate-/r` `associate-l*`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `flip3--` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip--`

Counts

2 → 80

Calls

2 calls:

28.0ms	(/ (- y x) t)
36.0ms	(* z (/ (- y x) t))

series96.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ (- y x) t)
66.0ms	(* z (/ (- y x) t))

simplify645.0ms

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
2	1265
1	301
0	120

prune442.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))
5.3b	(* z (/ (* (cbrt (- y x)) (cbrt (- y x))) (/ t (cbrt (- y x)))))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

59×	`times-frac`
46×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
35×	`associate-r`
31×	`cbrt-prod`
24×	`add-cube-cbrt`
22×	`add-exp-log`
16×	`add-cbrt-cube`
8×	`cbrt-div`
7×	`prod-exp` `cbrt-unprod`
6×	`pow1` `cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
4×	`expm1-log1p-u` `flip3--` `log1p-expm1-u` `flip--` `add-log-exp` `unswap-sqr`
3×	`pow1/3` `associate-l` `associate-/r/`
2×	`div-inv`
1×	`pow-prod-down` `associate-r/` `-commutative`

Counts

4 → 115

Calls

4 calls:

5.0ms	(cbrt (- y x))
3.0ms	(cbrt (- y x))
5.0ms	(cbrt (- y x))
95.0ms	(* z (/ (* (cbrt (- y x)) (cbrt (- y x))) (/ t (cbrt (- y x)))))

series722.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(cbrt (- y x))
235.0ms	(cbrt (- y x))
216.0ms	(cbrt (- y x))
68.0ms	(* z (/ (* (cbrt (- y x)) (cbrt (- y x))) (/ t (cbrt (- y x)))))

simplify1.4s

Counts

127 → 127

Iterations

Iter	Nodes
done	5001
2	3321
1	621
0	228

prune764.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y x) z)
8.2b	(/ (* (- y x) z) t)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`add-cbrt-cube` `add-exp-log`
8×	`*-un-lft-identity`
6×	`add-cube-cbrt`
5×	`associate-l`
4×	`pow1` `associate-*l/`
3×	`associate-/r` `times-frac` `associate-r*`
2×	`expm1-log1p-u` `cbrt-undiv` `flip3--` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `flip--` `add-log-exp` `associate-/l/`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

24.0ms	(* (- y x) z)
13.0ms	(/ (* (- y x) z) t)

series102.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* (- y x) z)
64.0ms	(/ (* (- y x) z) t)

simplify1.1s

Counts

55 → 55

Iterations

Iter	Nodes
done	5001
2	1259
1	240
0	95

prune302.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes311.0ms

Accuracy

1.1% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 2.0b

bsearch101.0ms

Steps

Iters	Range		Point
10	1.46778627527946e-268	2.3467269485231145e-250	9.954863872437946e-260
6	-2.893414363532201e-289	-3.436791202762134e-290	-3.867509036970049e-290

simplify2.0ms

Iterations

Iter	Nodes
done	22
1	22
0	19

end0.0ms

sample1.3s

Algorithm

intervals

Results

525.0ms

10762×

body

valid