Details

sample35.0ms

Algorithm

intervals

Results

16.0ms

341×

body

valid

simplify9.3s

Counts

1 → 1

Iterations

Useful iterations: 3 (12.0ms)

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

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) t)
4.8b	(fma (/ (- y x) t) z x)

rewrite20.0ms

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:

18.0ms	(/ (- y x) t)
0.0ms	(fma (/ (- y x) t) z x)

series110.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ (- y x) t)
59.0ms	(fma (/ (- y x) t) z x)

simplify2.6s

Counts

56 → 56

Iterations

Useful iterations: 4 (1.4s)

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

prune243.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (- y x) (/ 1 t))
4.8b	(fma (* (- y x) (/ 1 t)) z x)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

40.0ms	(* (- y x) (/ 1 t))
0.0ms	(fma (* (- y x) (/ 1 t)) z x)

series112.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(* (- y x) (/ 1 t))
63.0ms	(fma (* (- y x) (/ 1 t)) z x)

simplify2.4s

Counts

60 → 60

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	118	668
1	270	538
2	732	464
3	2429	449
done	5000	449

prune198.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 40

Calls

1 calls:

39.0ms

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

series68.0ms

Counts

1 → 3

Calls

1 calls:

68.0ms

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

simplify3.1s

Counts

43 → 43

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	98	465
1	239	445
2	886	403
3	3530	391
done	5000	391

prune157.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

8.5b	(/ (- y x) (/ t z))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
85×	`add-sqr-sqrt` `*-un-lft-identity`
57×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*`
7×	`div-inv`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/l*`
3×	`cbrt-undiv` `div-exp`
2×	`associate-/l/`
1×	`pow1` `expm1-log1p-u` `flip3--` `frac-2neg` `div-sub` `clear-num` `associate-/r/` `flip--` `log1p-expm1-u` `add-log-exp`

Counts

1 → 103

Calls

1 calls:

23.0ms

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

series74.0ms

Counts

1 → 3

Calls

1 calls:

74.0ms

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

simplify2.3s

Counts

106 → 106

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	197	1676
1	528	1572
2	1653	1498
done	5001	1496

prune419.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes234.0ms

Accuracy

-7.5% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.0b

bsearch73.0ms

Steps

Iters	Range		Point
9	3.9928411733822553e-168	6.987839954690704e-162	9.895725275899005e-166
5	-1.150255684460795e-190	-5.515663221825883e-191	-5.5620852206194397e-191

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	18	36
1	26	28
done	26	28

end0.0ms

sample1.3s

Algorithm

intervals

Results

650.0ms

10685×

body

valid