Details

sample49.0ms

Algorithm

intervals

Results

20.0ms

343×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 3 (18.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	51	8
4	89	8
5	156	8
6	353	8
7	1005	8
8	3217	8
done	5000	8

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 1 expressions with local error:

4.1b	(fma (/ (- y x) t) z x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

1.0ms

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

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

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

simplify767.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (45.0ms)

Iter	Nodes	Cost
0	23	154
1	44	154
2	86	138
3	218	123
4	1080	123
done	5000	123

prune50.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (/ (- y x) t) z x))
4.1b	(fma (/ (- y x) t) z x)
4.1b	(fma (/ (- y x) t) z x)
4.1b	(fma (/ (- y x) t) z x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

2.0ms	(cbrt (fma (/ (- y x) t) z x))
1.0ms	(fma (/ (- y x) t) z x)
1.0ms	(fma (/ (- y x) t) z x)
1.0ms	(fma (/ (- y x) t) z x)

series529.0ms

Counts

4 → 12

Calls

4 calls:

360.0ms	(cbrt (fma (/ (- y x) t) z x))
50.0ms	(fma (/ (- y x) t) z x)
53.0ms	(fma (/ (- y x) t) z x)
66.0ms	(fma (/ (- y x) t) z x)

simplify1.4s

Counts

55 → 55

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	93	743
1	204	733
2	552	663
3	2216	641
done	5000	627

prune236.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) z)
0.0b	(+ (/ (* (- y x) z) t) x)
7.0b	(/ (* (- y x) z) t)

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

45.0ms	(* (- y x) z)
25.0ms	(+ (/ (* (- y x) z) t) x)
26.0ms	(/ (* (- y x) z) t)

series167.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(* (- y x) z)
43.0ms	(+ (/ (* (- y x) z) t) x)
82.0ms	(/ (* (- y x) z) t)

simplify1.5s

Counts

79 → 79

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	116	736
1	302	705
2	1559	635
done	5000	619

prune263.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (- y x) (/ t z)) x)
5.4b	(/ (- y x) (/ t z))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

229×	`times-frac`
163×	`*-un-lft-identity`
161×	`add-sqr-sqrt`
107×	`add-cube-cbrt`
70×	`fma-def`
27×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*` `div-inv`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `div-sub` `associate-/r/` `log1p-expm1-u` `associate-/l/`
1×	`+-commutative` `associate-+l-` `flip3--` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 188

Calls

2 calls:

112.0ms	(+ (/ (- y x) (/ t z)) x)
54.0ms	(/ (- y x) (/ t z))

series128.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(+ (/ (- y x) (/ t z)) x)
70.0ms	(/ (- y x) (/ t z))

simplify1.5s

Counts

194 → 194

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	221	1932
1	674	1832
2	3107	1731
done	5000	1728

prune710.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes133.0ms

Accuracy

25.8% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.0b

bsearch78.0ms

Steps

Iters	Range		Point
7	1.4179378881574384e+62	1.9633845409464347e+64	2.664903500369063e+62
7	-2.688558965076452e-51	-2.014264567969513e-53	-1.9436377155568926e-52

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	34
1	22	34
done	22	34

end0.0ms

sample1.8s

Algorithm

intervals

Results

602.0ms

10693×

body

valid