Details

sample38.0ms

Algorithm

intervals

Results

19.0ms

328×

body

valid

simplify8.9s

Counts

1 → 1

Iterations

Useful iterations: 3 (14.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	51	8
4	89	8
5	149	8
6	198	8
7	222	8
8	252	8
9	305	8
10	433	8
11	549	8
12	617	8
13	663	8
14	792	8
15	930	8
16	1243	8
17	1732	8
18	2338	8
19	2508	8
20	2515	8
done	2515	8

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) t)
5.5b	(fma (/ (- y x) t) z x)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/r*`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 50

Calls

2 calls:

32.0ms	(/ (- y x) t)
1.0ms	(fma (/ (- y x) t) z x)

series115.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ (- y x) t)
74.0ms	(fma (/ (- y x) t) z x)

simplify2.2s

Counts

56 → 56

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	93	570
1	194	548
2	455	512
3	1240	497
4	3730	496
done	5000	496

prune145.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.5b	(cbrt t)
0.5b	(cbrt t)
5.5b	(fma (* (/ 1 (* (cbrt t) (cbrt t))) (/ (- y x) (cbrt t))) z x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`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×	`pow1/3`
1×	`fma-udef`

Counts

4 → 49

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
0.0ms	(fma (* (/ 1 (* (cbrt t) (cbrt t))) (/ (- y x) (cbrt t))) z x)

series765.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(cbrt t)
211.0ms	(cbrt t)
252.0ms	(cbrt t)
77.0ms	(fma (* (/ 1 (* (cbrt t) (cbrt t))) (/ (- y x) (cbrt t))) z x)

simplify1.7s

Counts

61 → 61

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	51	472
1	96	460
2	236	364
3	857	298
done	5000	290

prune314.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))
5.5b	(fma (* (* (cbrt (- y x)) (cbrt (- y x))) (/ (cbrt (- y x)) t)) z x)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`fma-udef`

Counts

4 → 61

Calls

4 calls:

4.0ms	(cbrt (- y x))
4.0ms	(cbrt (- y x))
13.0ms	(cbrt (- y x))
0.0ms	(fma (* (* (cbrt (- y x)) (cbrt (- y x))) (/ (cbrt (- y x)) t)) z x)

series694.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(cbrt (- y x))
216.0ms	(cbrt (- y x))
202.0ms	(cbrt (- y x))
66.0ms	(fma (* (* (cbrt (- y x)) (cbrt (- y x))) (/ (cbrt (- y x)) t)) z x)

simplify3.1s

Counts

73 → 73

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	93	885
1	193	867
2	413	717
3	988	645
4	3012	597
done	5001	585

prune360.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ (- y x) t) z x))
5.5b	(fma (/ (- y x) t) z x)
5.5b	(fma (/ (- y x) t) z x)
5.5b	(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)

series559.0ms

Counts

4 → 12

Calls

4 calls:

368.0ms	(cbrt (fma (/ (- y x) t) z x))
73.0ms	(fma (/ (- y x) t) z x)
43.0ms	(fma (/ (- y x) t) z x)
74.0ms	(fma (/ (- y x) t) z x)

simplify1.8s

Counts

55 → 55

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	93	743
1	204	733
2	530	663
3	1680	605
done	5001	583

prune278.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes254.0ms

Accuracy

79.7% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 6.6b

bsearch81.0ms

Steps

Iters	Range		Point
7	1.1011800016517463e+52	5.1194650287633095e+53	1.9048501991496196e+52
6	-1.3637104581085021e-14	-2.6377164323075503e-15	-1.242090268965134e-14

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	16	33
1	21	26
done	21	26

end0.0ms

sample1.3s

Algorithm

intervals

Results

702.0ms

10578×

body

valid