Details

sample24.0ms

Algorithm

intervals

Results

10.0ms

345×

body

valid

simplify749.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	9	9
1	15	9
2	26	9
3	48	8
4	86	8
5	133	8
6	171	8
7	197	8
8	231	8
9	317	8
10	427	8
11	494	8
12	584	8
13	610	8
done	610	8

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

2.2b	(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)

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify729.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (24.0ms)

Iter	Nodes	Cost
0	24	154
1	41	154
2	92	138
3	219	123
4	987	123
done	5002	123

prune45.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (/ y a) (- z t) x))
2.2b	(fma (/ y a) (- z t) x)
2.2b	(fma (/ y a) (- z t) x)
2.2b	(fma (/ y a) (- z t) 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:

0.0ms	(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)

series314.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt (fma (/ y a) (- z t) x))
43.0ms	(fma (/ y a) (- z t) x)
42.0ms	(fma (/ y a) (- z t) x)
45.0ms	(fma (/ y a) (- z t) x)

simplify1.7s

Counts

55 → 55

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	61	683
1	118	678
2	284	611
3	864	559
4	3504	546
done	5000	542

prune193.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (/ y a) (- z t) x))
2.2b	(fma (/ y a) (- z t) x)
2.2b	(fma (/ y a) (- z t) x)
5.6b	(/ (- z t) (/ a y))

rewrite22.0ms

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:

0.0ms	(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))

series313.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt (fma (/ y a) (- z t) x))
42.0ms	(fma (/ y a) (- z t) x)
45.0ms	(fma (/ y a) (- z t) x)
43.0ms	(/ (- z t) (/ a y))

simplify726.0ms

Counts

148 → 148

Iterations

Useful iterations: done (722.0ms)

Iter	Nodes	Cost
0	246	2205
1	631	2084
2	1866	1941
done	5000	1940

prune544.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

2.2b	(fma (/ y a) (- z t) x)
2.2b	(fma (/ y a) (- z t) x)
2.4b	(/ (cbrt (- z t)) (/ a y))
3.4b	(* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (/ a y)))

rewrite107.0ms

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)
11.0ms	(/ (cbrt (- z t)) (/ a y))
70.0ms	(* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (/ a y)))

series456.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(fma (/ y a) (- z t) x)
41.0ms	(fma (/ y a) (- z t) x)
328.0ms	(/ (cbrt (- z t)) (/ a y))
42.0ms	(* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (/ a y)))

simplify1.4s

Counts

332 → 332

Iterations

Useful iterations: 2 (692.0ms)

Iter	Nodes	Cost
0	478	6717
1	1352	6270
2	4756	5997
done	5000	5997

prune1.3s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes313.0ms

Accuracy

83.9% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.5b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

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

end0.0ms

sample638.0ms

Algorithm

intervals

Results

312.0ms

10779×

body

valid