Details

sample42.0ms

Algorithm

intervals

Results

17.0ms

328×

body

valid

simplify8.6s

Counts

1 → 1

Iterations

Useful iterations: 3 (17.0ms)

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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) t)
5.2b	(fma (/ (- y x) t) z x)

rewrite19.0ms

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:

17.0ms	(/ (- y x) t)
0.0ms	(fma (/ (- y x) t) z x)

series76.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ (- y x) t)
40.0ms	(fma (/ (- y x) t) z x)

simplify3.0s

Counts

56 → 56

Iterations

Useful iterations: 4 (1.8s)

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

prune203.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (- y x) (/ 1 t))
5.2b	(fma (* (- y x) (/ 1 t)) z x)

rewrite55.0ms

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:

51.0ms	(* (- y x) (/ 1 t))
1.0ms	(fma (* (- y x) (/ 1 t)) z x)

series101.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(* (- y x) (/ 1 t))
51.0ms	(fma (* (- y x) (/ 1 t)) z x)

simplify2.3s

Counts

60 → 60

Iterations

Useful iterations: 3 (1.0s)

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

prune233.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (- y x) (/ z t)) x)
5.8b	(* (- y x) (/ z t))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

34.0ms	(+ (* (- y x) (/ z t)) x)
38.0ms	(* (- y x) (/ z t))

series134.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(+ (* (- y x) (/ z t)) x)
85.0ms	(* (- y x) (/ z t))

simplify3.5s

Counts

60 → 60

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	119	705
1	303	653
2	1097	609
3	4496	576
done	5000	576

prune267.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

5.8b	(* (- y x) (/ z t))
6.7b	(cbrt (* (- y x) (/ z t)))
6.7b	(cbrt (* (- y x) (/ z t)))
6.7b	(cbrt (* (- y x) (/ z t)))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

59.0ms	(* (- y x) (/ z t))
20.0ms	(cbrt (* (- y x) (/ z t)))
25.0ms	(cbrt (* (- y x) (/ z t)))
11.0ms	(cbrt (* (- y x) (/ z t)))

series708.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (- y x) (/ z t))
236.0ms	(cbrt (* (- y x) (/ z t)))
220.0ms	(cbrt (* (- y x) (/ z t)))
192.0ms	(cbrt (* (- y x) (/ z t)))

simplify3.8s

Counts

100 → 100

Iterations

Useful iterations: 3 (2.1s)

Iter	Nodes	Cost
0	166	1362
1	380	1312
2	1288	1210
3	4863	1165
done	5000	1165

prune698.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes270.0ms

Accuracy

66.5% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 2.1b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	50
1	23	50
done	23	50

end0.0ms

sample1.4s

Algorithm

intervals

Results

668.0ms

10694×

body

valid