Details

sample32.0ms

Algorithm

intervals

Results

11.0ms

343×

body

valid

simplify8.8s

Counts

1 → 1

Iterations

Useful iterations: 3 (9.0ms)

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

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:

42.0ms	(/ (- y x) t)
1.0ms	(fma (/ (- y x) t) z x)

series113.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ (- y x) t)
65.0ms	(fma (/ (- y x) t) z x)

simplify2.8s

Counts

56 → 56

Iterations

Useful iterations: 4 (1.6s)

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

prune187.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (- y x) (/ 1 t))
5.3b	(fma (* (- y x) (/ 1 t)) z x)

rewrite64.0ms

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:

60.0ms	(* (- y x) (/ 1 t))
1.0ms	(fma (* (- y x) (/ 1 t)) z x)

series99.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* (- y x) (/ 1 t))
64.0ms	(fma (* (- y x) (/ 1 t)) z x)

simplify2.3s

Counts

60 → 60

Iterations

Useful iterations: 3 (973.0ms)

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

prune280.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (- y x) (/ z t)) x)
9.3b	(* (- y x) (/ z t))

rewrite81.0ms

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:

33.0ms	(+ (* (- y x) (/ z t)) x)
44.0ms	(* (- y x) (/ z t))

series152.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(+ (* (- y x) (/ z t)) x)
81.0ms	(* (- y x) (/ z t))

simplify4.0s

Counts

60 → 60

Iterations

Useful iterations: 3 (2.3s)

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

prune203.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
1.8b	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

2.0ms	(cbrt z)
2.0ms	(cbrt z)
2.0ms	(cbrt z)
80.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

series947.0ms

Counts

4 → 12

Calls

4 calls:

250.0ms	(cbrt z)
243.0ms	(cbrt z)
244.0ms	(cbrt z)
209.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

simplify1.3s

Counts

89 → 89

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	148	1095
1	385	1023
2	1527	776
done	5000	741

prune391.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes227.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	23
1	17	23
done	17	23

end0.0ms

sample919.0ms

Algorithm

intervals

Results

368.0ms

10769×

body

valid