Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

327×

body

valid

simplify881.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (8.0ms)

Iter	Nodes	Cost
0	9	9
1	15	9
2	26	9
3	48	8
4	86	8
5	137	8
6	175	8
7	201	8
8	235	8
9	321	8
10	433	8
11	502	8
12	592	8
13	630	8
done	630	8

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

2.0b	(fma (/ y a) (- z t) 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:

0.0ms

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

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

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

simplify832.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	24	154
1	41	154
2	92	138
3	219	123
4	987	123
done	5000	123

prune46.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ y a) (- z t) x))
2.0b	(fma (/ y a) (- z t) x)
2.0b	(fma (/ y a) (- z t) x)
2.0b	(fma (/ y a) (- z t) x)

rewrite3.0ms

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

series404.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(cbrt (fma (/ y a) (- z t) x))
54.0ms	(fma (/ y a) (- z t) x)
58.0ms	(fma (/ y a) (- z t) x)
55.0ms	(fma (/ y a) (- z t) x)

simplify1.9s

Counts

55 → 55

Iterations

Useful iterations: 4 (918.0ms)

Iter	Nodes	Cost
0	61	683
1	118	678
2	284	611
3	868	559
4	3567	546
done	5000	546

prune187.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ y a) (- z t) x))
2.0b	(fma (/ y a) (- z t) x)
2.0b	(fma (/ y a) (- z t) x)
6.3b	(/ (- z t) (/ a y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 136

Calls

4 calls:

1.0ms	(cbrt (fma (/ y a) (- z t) x))
0.0ms	(fma (/ y a) (- z t) x)
0.0ms	(fma (/ y a) (- z t) x)
12.0ms	(/ (- z t) (/ a y))

series405.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(cbrt (fma (/ y a) (- z t) x))
59.0ms	(fma (/ y a) (- z t) x)
54.0ms	(fma (/ y a) (- z t) x)
55.0ms	(/ (- z t) (/ a y))

simplify905.0ms

Counts

148 → 148

Iterations

Useful iterations: done (900.0ms)

Iter	Nodes	Cost
0	246	2205
1	631	2084
2	1866	1941
done	5001	1940

prune594.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

2.0b	(fma (/ y a) (- z t) x)
2.0b	(fma (/ y a) (- z t) x)
2.5b	(/ (cbrt (- z t)) (/ a y))
4.0b	(* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (/ a y)))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

367×	`times-frac`
243×	`add-sqr-sqrt`
232×	`*-un-lft-identity`
178×	`add-cube-cbrt`
137×	`cbrt-prod`
109×	`associate-r`
30×	`add-exp-log`
27×	`distribute-lft-out--` `difference-of-squares`
26×	`cbrt-div`
19×	`div-inv`
18×	`add-cbrt-cube`
16×	`frac-times`
13×	`flip3--` `associate-/r*` `flip--`
12×	`associate-*l/`
9×	`pow1` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
8×	`associate-/l*`
5×	`associate-*r/` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down`
2×	`associate-/r/` `fma-udef` `associate-/l/`
1×	`frac-2neg` `associate-l` `clear-num` `*-commutative`

Counts

4 → 320

Calls

4 calls:

0.0ms	(fma (/ y a) (- z t) x)
0.0ms	(fma (/ y a) (- z t) x)
12.0ms	(/ (cbrt (- z t)) (/ a y))
71.0ms	(* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (/ a y)))

series582.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(fma (/ y a) (- z t) x)
54.0ms	(fma (/ y a) (- z t) x)
414.0ms	(/ (cbrt (- z t)) (/ a y))
59.0ms	(* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (/ a y)))

simplify2.0s

Counts

332 → 332

Iterations

Useful iterations: 2 (1.0s)

Iter	Nodes	Cost
0	478	6717
1	1352	6330
2	4824	5997
done	5000	5997

prune1.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes364.0ms

Accuracy

86.8% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.4b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	17	41
1	22	34
done	22	34

end0.0ms

sample579.0ms

Algorithm

intervals

Results

281.0ms

10607×

body

valid