Details

sample59.0ms

Algorithm

intervals

Results

18.0ms

344×

body

valid

simplify1.0s

Counts

1 → 1

Iterations

Useful iterations: 5 (96.0ms)

Iter	Nodes	Cost
0	9	9
1	16	9
2	32	9
3	71	9
4	148	9
5	220	8
6	307	8
7	403	8
8	457	8
9	555	8
10	571	8
done	571	8

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

3.2b	(fma (/ y a) (- t z) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

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

series86.0ms

Counts

1 → 3

Calls

1 calls:

86.0ms

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

simplify849.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	24	154
1	41	154
2	94	138
3	269	123
4	1175	123
done	5000	123

prune38.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ y a) (- t z) x))
3.2b	(fma (/ y a) (- t z) x)
3.2b	(fma (/ y a) (- t z) x)
3.2b	(fma (/ y a) (- t z) x)

rewrite2.0ms

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:

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

series427.0ms

Counts

4 → 12

Calls

4 calls:

263.0ms	(cbrt (fma (/ y a) (- t z) x))
57.0ms	(fma (/ y a) (- t z) x)
47.0ms	(fma (/ y a) (- t z) x)
60.0ms	(fma (/ y a) (- t z) x)

simplify2.7s

Counts

55 → 55

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	61	683
1	118	678
2	287	611
3	922	559
4	3677	548
done	5000	548

prune234.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
7.6b	(/ (* y (- z t)) a)

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 111

Calls

3 calls:

10.0ms	(- x (/ (* y (- z t)) a))
44.0ms	(* y (- z t))
31.0ms	(/ (* y (- z t)) a)

series169.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(- x (/ (* y (- z t)) a))
43.0ms	(* y (- z t))
57.0ms	(/ (* y (- z t)) a)

simplify1.2s

Counts

120 → 120

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	224	2333
1	503	1853
2	1448	1469
done	5000	1292

prune347.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (/ (- z t) a) y))
0.0b	(/ (- z t) a)
5.6b	(* (/ (- z t) a) y)

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
31×	`times-frac`
25×	`add-cube-cbrt`
19×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/l*` `add-log-exp`
3×	`expm1-log1p-u` `fma-neg` `associate-r` `prod-diff` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

3 → 100

Calls

3 calls:

13.0ms	(- x (* (/ (- z t) a) y))
19.0ms	(/ (- z t) a)
57.0ms	(* (/ (- z t) a) y)

series189.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(- x (* (/ (- z t) a) y))
43.0ms	(/ (- z t) a)
58.0ms	(* (/ (- z t) a) y)

simplify3.4s

Counts

109 → 109

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	157	1206
1	368	1155
2	1041	1063
3	4235	1032
done	5000	1032

prune391.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes612.0ms

Accuracy

84.8% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.6b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	42
1	23	42
done	23	42

end0.0ms

sample1.5s

Algorithm

intervals

Results

708.0ms

10683×

body

valid