Details

sample242.0ms

Algorithm

intervals

Results

124.0ms	925×	body	80	nan
30.0ms	294×	body	80	valid

simplify5.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	20	509
1	39	484
2	107	434
3	332	434
4	1256	434
5	3746	434
done	5001	434

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (fma x (log y) z) t) a)
0.1b	(fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a))
0.2b	(fma x (log y) z)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
8×	`add-log-exp`
4×	`add-sqr-sqrt` `fma-def` `add-cube-cbrt` `distribute-lft-out`
3×	`expm1-log1p-u` `pow1` `sum-log` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
2×	`fma-udef`
1×	`+-commutative` `associate-+l+` `flip3-+` `flip-+`

Counts

3 → 41

Calls

3 calls:

43.0ms	(+ (+ (fma x (log y) z) t) a)
0.0ms	(fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a))
0.0ms	(fma x (log y) z)

series722.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(+ (+ (fma x (log y) z) t) a)
531.0ms	(fma (log c) (- b 0.5) (+ (+ (fma x (log y) z) t) a))
83.0ms	(fma x (log y) z)

simplify3.5s

Counts

50 → 50

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	83	12984
1	187	12417
2	541	12282
3	3237	12202
done	5000	12177

prune613.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize77.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (fma x (log y) z) t))
0.5b	(cbrt (+ (fma x (log y) z) t))
0.5b	(cbrt (+ (fma x (log y) z) t))
0.5b	(* (cbrt (+ (fma x (log y) z) t)) (cbrt (+ (fma x (log y) z) t)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

3.0ms	(cbrt (+ (fma x (log y) z) t))
3.0ms	(cbrt (+ (fma x (log y) z) t))
3.0ms	(cbrt (+ (fma x (log y) z) t))
35.0ms	(* (cbrt (+ (fma x (log y) z) t)) (cbrt (+ (fma x (log y) z) t)))

series2.0s

Counts

4 → 12

Calls

4 calls:

514.0ms	(cbrt (+ (fma x (log y) z) t))
524.0ms	(cbrt (+ (fma x (log y) z) t))
482.0ms	(cbrt (+ (fma x (log y) z) t))
515.0ms	(* (cbrt (+ (fma x (log y) z) t)) (cbrt (+ (fma x (log y) z) t)))

simplify2.9s

Counts

115 → 115

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	135	52824
1	310	46273
2	821	45463
3	2908	44504
done	5002	44429

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize138.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (cbrt (+ (fma x (log y) z) t)) (cbrt (+ (fma x (log y) z) t)))) (cbrt (* (cbrt (+ (fma x (log y) z) t)) (cbrt (+ (fma x (log y) z) t)))))
0.6b	(cbrt (* (cbrt (+ (fma x (log y) z) t)) (cbrt (+ (fma x (log y) z) t))))
0.6b	(cbrt (* (cbrt (+ (fma x (log y) z) t)) (cbrt (+ (fma x (log y) z) t))))
0.6b	(cbrt (* (cbrt (+ (fma x (log y) z) t)) (cbrt (+ (fma x (log y) z) t))))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

420×	`cbrt-div`
148×	`frac-times`
126×	`flip3-+` `flip-+`
50×	`associate-l/` `associate-r/`
12×	`add-sqr-sqrt`
11×	`cbrt-prod` `pow1`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 173

Calls

4 calls:

32.0ms	(* (cbrt (* (cbrt (+ (fma x (log y) z) t)) (cbrt (+ (fma x (log y) z) t)))) (cbrt (* (cbrt (+ (fma x (log y) z) t)) (cbrt (+ (fma x (log y) z) t)))))
16.0ms	(cbrt (* (cbrt (+ (fma x (log y) z) t)) (cbrt (+ (fma x (log y) z) t))))
21.0ms	(cbrt (* (cbrt (+ (fma x (log y) z) t)) (cbrt (+ (fma x (log y) z) t))))
24.0ms	(cbrt (* (cbrt (+ (fma x (log y) z) t)) (cbrt (+ (fma x (log y) z) t))))

series2.5s

Counts

4 → 12

Calls

4 calls:

737.0ms	(* (cbrt (* (cbrt (+ (fma x (log y) z) t)) (cbrt (+ (fma x (log y) z) t)))) (cbrt (* (cbrt (+ (fma x (log y) z) t)) (cbrt (+ (fma x (log y) z) t)))))
600.0ms	(cbrt (* (cbrt (+ (fma x (log y) z) t)) (cbrt (+ (fma x (log y) z) t))))
607.0ms	(cbrt (* (cbrt (+ (fma x (log y) z) t)) (cbrt (+ (fma x (log y) z) t))))
553.0ms	(cbrt (* (cbrt (+ (fma x (log y) z) t)) (cbrt (+ (fma x (log y) z) t))))

simplify465.0ms

Iterations

Useful iterations: 0 (122.0ms)

Iter	Nodes	Cost
0	270	202820