Details

sample28.0ms

Algorithm

intervals

Results

14.0ms

360×

body

valid

simplify562.0ms

Counts

1 → 1

Iterations

Useful iterations: 5 (40.0ms)

Iter	Nodes	Cost
0	9	9
1	16	9
2	32	9
3	67	9
4	148	9
5	242	8
6	326	8
7	412	8
8	498	8
9	613	8
10	625	8
done	625	8

prune7.0ms

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	(/ (- t z) a)
4.6b	(fma (/ (- t z) a) y x)

rewrite10.0ms

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:

8.0ms	(/ (- t z) a)
0.0ms	(fma (/ (- t z) a) y x)

series77.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ (- t z) a)
50.0ms	(fma (/ (- t z) a) y x)

simplify1.8s

Counts

56 → 56

Iterations

Useful iterations: 4 (752.0ms)

Iter	Nodes	Cost
0	95	558
1	194	536
2	449	500
3	1322	490
4	4186	489
done	5000	489

prune146.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (- t z) (/ 1 a))
4.6b	(fma (* (- t z) (/ 1 a)) y x)

rewrite17.0ms

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:

15.0ms	(* (- t z) (/ 1 a))
0.0ms	(fma (* (- t z) (/ 1 a)) y x)

series74.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* (- t z) (/ 1 a))
45.0ms	(fma (* (- t z) (/ 1 a)) y x)

simplify1.6s

Counts

60 → 60

Iterations

Useful iterations: 3 (470.0ms)

Iter	Nodes	Cost
0	119	656
1	277	526
2	774	452
3	2679	442
done	5000	442

prune137.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (/ 1 a))
0.5b	(cbrt (/ 1 a))
0.5b	(* (cbrt (/ 1 a)) (cbrt (/ 1 a)))
4.6b	(fma (* (* (- t z) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (cbrt (/ 1 a))) y x)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

106×	`cbrt-prod`
90×	`add-sqr-sqrt`
70×	`times-frac`
60×	`*-un-lft-identity`
50×	`add-cube-cbrt`
18×	`swap-sqr`
16×	`associate-r` `associate-l` `unswap-sqr`
11×	`pow1`
8×	`pow1/3` `div-inv`
6×	`add-exp-log` `cbrt-div`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 147

Calls

4 calls:

2.0ms	(cbrt (/ 1 a))
2.0ms	(cbrt (/ 1 a))
21.0ms	(* (cbrt (/ 1 a)) (cbrt (/ 1 a)))
0.0ms	(fma (* (* (- t z) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (cbrt (/ 1 a))) y x)

series621.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt (/ 1 a))
175.0ms	(cbrt (/ 1 a))
196.0ms	(* (cbrt (/ 1 a)) (cbrt (/ 1 a)))
67.0ms	(fma (* (* (- t z) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (cbrt (/ 1 a))) y x)

simplify2.3s

Counts

159 → 159

Iterations

Useful iterations: 3 (719.0ms)

Iter	Nodes	Cost
0	168	2120
1	269	1662
2	731	1598
3	3704	1538
done	5000	1538

prune428.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
7.3b	(/ (* y (- z t)) a)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 71

Calls

2 calls:

11.0ms	(* y (- z t))
13.0ms	(/ (* y (- z t)) a)

series88.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* y (- z t))
48.0ms	(/ (* y (- z t)) a)

simplify583.0ms

Counts

77 → 77

Iterations

Useful iterations: 2 (135.0ms)

Iter	Nodes	Cost
0	146	1013
1	310	830
2	1139	648
done	5000	648

prune128.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes414.0ms

Accuracy

84.1% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 5.5b

bsearch76.0ms

Steps

Iters	Range		Point
7	9.28385897973201e-108	9.5716832511863e-106	9.342267407344556e-106
9	-1357526.7243520434	-1.7432340083837217	-792628.2817991371

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	36
1	27	36
done	27	36

end0.0ms

sample642.0ms

Algorithm

intervals

Results

337.0ms

10683×

body

valid