Details

sample45.0ms

Algorithm

intervals

Results

13.0ms	259×	body	80	valid
9.0ms	239×	body	80	nan

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	1080
3	208
2	63
1	21
0	10

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (- y (fma (+ 0.5 y) (log y) z)))
0.1b	(- y (fma (+ 0.5 y) (log y) z))
0.1b	(fma (+ 0.5 y) (log y) z)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
18×	`prod-diff`
17×	`add-cube-cbrt`
11×	`associate-+r+`
10×	`add-log-exp`
3×	`expm1-log1p-u` `pow1` `fma-def` `add-cbrt-cube` `fma-neg` `add-exp-log` `log1p-expm1-u`
2×	`sum-log` `sub-neg` `diff-log` `fma-udef` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+r-` `flip3-+` `flip3--` `flip-+` `flip--` `associate--r+` `difference-of-squares`

Counts

3 → 70

Calls

3 calls:

14.0ms	(+ x (- y (fma (+ 0.5 y) (log y) z)))
9.0ms	(- y (fma (+ 0.5 y) (log y) z))
1.0ms	(fma (+ 0.5 y) (log y) z)

series199.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(+ x (- y (fma (+ 0.5 y) (log y) z)))
63.0ms	(- y (fma (+ 0.5 y) (log y) z))
61.0ms	(fma (+ 0.5 y) (log y) z)

simplify1.7s

Counts

79 → 79

Iterations

Iter	Nodes
done	5002
2	1532
1	339
0	137

prune550.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize87.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (- y (fma (+ 0.5 y) (log y) z))) (cbrt (- y (fma (+ 0.5 y) (log y) z))))
0.5b	(cbrt (- y (fma (+ 0.5 y) (log y) z)))
0.5b	(cbrt (- y (fma (+ 0.5 y) (log y) z)))
0.5b	(cbrt (- y (fma (+ 0.5 y) (log y) z)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
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 → 109

Calls

4 calls:

60.0ms	(* (cbrt (- y (fma (+ 0.5 y) (log y) z))) (cbrt (- y (fma (+ 0.5 y) (log y) z))))
6.0ms	(cbrt (- y (fma (+ 0.5 y) (log y) z)))
6.0ms	(cbrt (- y (fma (+ 0.5 y) (log y) z)))
7.0ms	(cbrt (- y (fma (+ 0.5 y) (log y) z)))

series5.3s

Counts

4 → 12

Calls

4 calls:

3.7s	(* (cbrt (- y (fma (+ 0.5 y) (log y) z))) (cbrt (- y (fma (+ 0.5 y) (log y) z))))
536.0ms	(cbrt (- y (fma (+ 0.5 y) (log y) z)))
551.0ms	(cbrt (- y (fma (+ 0.5 y) (log y) z)))
528.0ms	(cbrt (- y (fma (+ 0.5 y) (log y) z)))

simplify5.3s

Counts

121 → 121

Iterations

Iter	Nodes
done	5000
1	1091
0	335

prune972.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `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 → 81

Calls

4 calls:

9.0ms	(* (cbrt (fma (+ 0.5 y) (log y) z)) (cbrt (fma (+ 0.5 y) (log y) z)))
1.0ms	(cbrt (fma (+ 0.5 y) (log y) z))
1.0ms	(cbrt (fma (+ 0.5 y) (log y) z))
1.0ms	(cbrt (fma (+ 0.5 y) (log y) z))

series1.9s

Counts

4 → 12

Calls

4 calls:

955.0ms	(* (cbrt (fma (+ 0.5 y) (log y) z)) (cbrt (fma (+ 0.5 y) (log y) z)))
339.0ms	(cbrt (fma (+ 0.5 y) (log y) z))
330.0ms	(cbrt (fma (+ 0.5 y) (log y) z))
314.0ms	(cbrt (fma (+ 0.5 y) (log y) z))

simplify2.7s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	3367
1	635
0	207

prune638.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize100.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y (fma (+ 0.5 y) (log y) z)))
0.5b	(cbrt (- y (fma (+ 0.5 y) (log y) z)))
0.5b	(cbrt (cbrt (- y (fma (+ 0.5 y) (log y) z))))
0.5b	(cbrt (* (cbrt (- y (fma (+ 0.5 y) (log y) z))) (cbrt (- y (fma (+ 0.5 y) (log y) z)))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div`
24×	`cbrt-prod`
14×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`flip3--` `flip--`
8×	`add-cube-cbrt`
4×	`expm1-log1p-u` `frac-times` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`associate-l/` `associate-r/`

Counts

4 → 73

Calls

4 calls:

3.0ms	(cbrt (- y (fma (+ 0.5 y) (log y) z)))
3.0ms	(cbrt (- y (fma (+ 0.5 y) (log y) z)))
4.0ms	(cbrt (cbrt (- y (fma (+ 0.5 y) (log y) z))))
11.0ms	(cbrt (* (cbrt (- y (fma (+ 0.5 y) (log y) z))) (cbrt (- y (fma (+ 0.5 y) (log y) z)))))

series5.6s

Counts

4 → 12

Calls

4 calls:

513.0ms	(cbrt (- y (fma (+ 0.5 y) (log y) z)))
505.0ms	(cbrt (- y (fma (+ 0.5 y) (log y) z)))
533.0ms	(cbrt (cbrt (- y (fma (+ 0.5 y) (log y) z))))
4.0s	(cbrt (* (cbrt (- y (fma (+ 0.5 y) (log y) z))) (cbrt (- y (fma (+ 0.5 y) (log y) z)))))

simplify4.2s

Counts

85 → 85

Iterations

Iter	Nodes
done	5001
1	1259
0	406

prune782.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes405.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	9

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.0s	8034×	body	80	valid
543.0ms	7770×	body	80	nan
1.0ms	2×	body	1280	valid