Details

sample70.0ms

Algorithm

intervals

Results

27.0ms	285×	body	80	valid
21.0ms	289×	body	80	nan

simplify3.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
14	4712
13	4355
12	3979
11	3616
10	3118
9	2180
8	1453
7	986
6	673
5	394
4	198
3	93
2	51
1	25
0	11

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (- 1.0 z) (log z))
0.2b	(* y (+ (- 1.0 z) (log z)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
8×	`pow1` `distribute-lft-out`
7×	`add-sqr-sqrt` `associate-r`
5×	`add-cube-cbrt` `add-log-exp`
4×	`add-cbrt-cube` `add-exp-log` `log-pow` `distribute-lft-out--`
3×	`associate-+r+` `log-prod` `associate-l`
2×	`associate-+l+` `sum-log` `flip3-+` `associate-*r/` `flip-+` `insert-posit16`
1×	`distribute-rgt-in` `+-commutative` `sub-neg` `distribute-lft-in` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `associate-+l-` `cbrt-unprod` `unswap-sqr`

Counts

2 → 50

Calls

2 calls:

35.0ms	(+ (- 1.0 z) (log z))
68.0ms	(* y (+ (- 1.0 z) (log z)))

series411.0ms

Counts

2 → 6

Calls

2 calls:

290.0ms	(+ (- 1.0 z) (log z))
121.0ms	(* y (+ (- 1.0 z) (log z)))

simplify1.1s

Counts

56 → 56

Iterations

Iter	Nodes
done	5001
2	1037
1	260
0	97

prune290.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 1.0 z) y)
0.1b	(+ (* (- 1.0 z) y) (* (log z) y))
0.3b	(* (log z) y)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
9×	`-un-lft-identity` `associate-l*`
8×	`pow1`
7×	`add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`associate-r`
5×	`add-log-exp`
3×	`insert-posit16`
2×	`pow-prod-down` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `distribute-rgt-out` `flip3--` `log-pow` `flip-+` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 56

Calls

3 calls:

14.0ms	(* (- 1.0 z) y)
23.0ms	(+ (* (- 1.0 z) y) (* (log z) y))
12.0ms	(* (log z) y)

series263.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(* (- 1.0 z) y)
134.0ms	(+ (* (- 1.0 z) y) (* (log z) y))
82.0ms	(* (log z) y)

simplify2.7s

Counts

65 → 65

Iterations

Iter	Nodes
done	5001
3	3908
2	928
1	285
0	111

prune263.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))
0.5b	(cbrt (+ (- 1.0 z) (log z)))
0.5b	(cbrt (+ (- 1.0 z) (log z)))
0.5b	(cbrt (+ (- 1.0 z) (log z)))

rewrite443.0ms

Algorithm

rewrite-expression-head

Rules

143×	`*-un-lft-identity`
93×	`cbrt-prod`
60×	`distribute-lft-out`
41×	`pow1`
30×	`swap-sqr` `log-pow` `distribute-lft-out--`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
10×	`associate-r` `associate-l`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `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 → 135

Calls

4 calls:

403.0ms	(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))
15.0ms	(cbrt (+ (- 1.0 z) (log z)))
12.0ms	(cbrt (+ (- 1.0 z) (log z)))
10.0ms	(cbrt (+ (- 1.0 z) (log z)))

series351.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))
85.0ms	(cbrt (+ (- 1.0 z) (log z)))
71.0ms	(cbrt (+ (- 1.0 z) (log z)))
89.0ms	(cbrt (+ (- 1.0 z) (log z)))

simplify2.8s

Counts

147 → 147

Iterations

Iter	Nodes
done	5003
2	2064
1	652
0	239

prune711.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* (- 1.0 z) y) (* (log z) y)))
0.5b	(cbrt (+ (* (- 1.0 z) y) (* (log z) y)))
0.5b	(cbrt (+ (* (- 1.0 z) y) (* (log z) y)))
0.5b	(* (cbrt (+ (* (- 1.0 z) y) (* (log z) y))) (cbrt (+ (* (- 1.0 z) y) (* (log z) y))))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
7×	`distribute-rgt-out` `swap-sqr` `associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `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 → 97

Calls

4 calls:

10.0ms	(cbrt (+ (* (- 1.0 z) y) (* (log z) y)))
8.0ms	(cbrt (+ (* (- 1.0 z) y) (* (log z) y)))
8.0ms	(cbrt (+ (* (- 1.0 z) y) (* (log z) y)))
87.0ms	(* (cbrt (+ (* (- 1.0 z) y) (* (log z) y))) (cbrt (+ (* (- 1.0 z) y) (* (log z) y))))

series1.2s

Counts

4 → 12

Calls

4 calls:

307.0ms	(cbrt (+ (* (- 1.0 z) y) (* (log z) y)))
272.0ms	(cbrt (+ (* (- 1.0 z) y) (* (log z) y)))
306.0ms	(cbrt (+ (* (- 1.0 z) y) (* (log z) y)))
342.0ms	(* (cbrt (+ (* (- 1.0 z) y) (* (log z) y))) (cbrt (+ (* (- 1.0 z) y) (* (log z) y))))

simplify2.7s

Counts

109 → 109

Iterations

Iter	Nodes
done	5003
2	2912
1	877
0	305

prune777.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes408.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	12

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.1s	9206×	body	80	valid
884.0ms	9187×	body	80	nan