Details

sample62.0ms

Algorithm

intervals

Results

20.0ms	283×	body	80	valid
18.0ms	299×	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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.0b	(+ (- 1.0 z) (log z))
0.1b	(* y (+ (- 1.0 z) (log z)))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

16.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
21.0ms	(+ (- 1.0 z) (log z))
101.0ms	(* y (+ (- 1.0 z) (log z)))

series442.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
244.0ms	(+ (- 1.0 z) (log z))
92.0ms	(* y (+ (- 1.0 z) (log z)))

simplify1.3s

Counts

73 → 73

Iterations

Iter	Nodes
done	5005
2	1522
1	365
0	129

prune425.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize65.0ms

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)))

rewrite159.0ms

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:

100.0ms	(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))
14.0ms	(cbrt (+ (- 1.0 z) (log z)))
20.0ms	(cbrt (+ (- 1.0 z) (log z)))
20.0ms	(cbrt (+ (- 1.0 z) (log z)))

series309.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))
86.0ms	(cbrt (+ (- 1.0 z) (log z)))
71.0ms	(cbrt (+ (- 1.0 z) (log z)))
56.0ms	(cbrt (+ (- 1.0 z) (log z)))

simplify2.7s

Counts

147 → 147

Iterations

Iter	Nodes
done	5003
2	2064
1	652
0	239

prune669.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (pow (* (+ (- 1.0 z) (log z)) (+ (- 1.0 z) (log z))) 1/3) (cbrt (+ (- 1.0 z) (log z))))
0.3b	(* (+ (- 1.0 z) (log z)) (+ (- 1.0 z) (log z)))
0.5b	(cbrt (+ (- 1.0 z) (log z)))
13.2b	(pow (* (+ (- 1.0 z) (log z)) (+ (- 1.0 z) (log z))) 1/3)

rewrite317.0ms

Algorithm

rewrite-expression-head

Rules

133×	`*-un-lft-identity`
56×	`distribute-lft-out`
47×	`pow1`
28×	`log-pow` `distribute-lft-out--`
27×	`swap-sqr`
23×	`add-sqr-sqrt`
17×	`cbrt-prod` `associate-r` `add-exp-log`
13×	`add-cube-cbrt`
12×	`associate-l`
8×	`flip3-+` `flip-+`
7×	`add-cbrt-cube` `prod-exp` `unswap-sqr`
6×	`pow-pow`
4×	`frac-times` `cbrt-div` `unpow-prod-down` `pow-exp` `associate-*r/` `insert-posit16` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `pow-prod-down` `cbrt-unprod`
2×	`pow2` `pow-to-exp` `pow-plus` `unpow1/3` `pow1/3` `associate-l/` `pow-sqr` `-commutative` `pow-prod-up`
1×	`distribute-rgt-in` `distribute-lft-in`

Counts

4 → 148

Calls

4 calls:

111.0ms	(* (pow (* (+ (- 1.0 z) (log z)) (+ (- 1.0 z) (log z))) 1/3) (cbrt (+ (- 1.0 z) (log z))))
131.0ms	(* (+ (- 1.0 z) (log z)) (+ (- 1.0 z) (log z)))
16.0ms	(cbrt (+ (- 1.0 z) (log z)))
57.0ms	(pow (* (+ (- 1.0 z) (log z)) (+ (- 1.0 z) (log z))) 1/3)

series399.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(* (pow (* (+ (- 1.0 z) (log z)) (+ (- 1.0 z) (log z))) 1/3) (cbrt (+ (- 1.0 z) (log z))))
35.0ms	(* (+ (- 1.0 z) (log z)) (+ (- 1.0 z) (log z)))
73.0ms	(cbrt (+ (- 1.0 z) (log z)))
94.0ms	(pow (* (+ (- 1.0 z) (log z)) (+ (- 1.0 z) (log z))) 1/3)

simplify2.4s

Counts

160 → 160

Iterations

Iter	Nodes
done	5000
2	3668
1	1036
0	331

prune579.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (log z) (log z))
5.2b	(/ (* (cbrt (* (- 1.0 (- z (log z))) (- 1.0 (- z (log z))))) (cbrt (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))) (cbrt (- (- 1.0 z) (log z))))
11.6b	(cbrt (* (- 1.0 (- z (log z))) (- 1.0 (- z (log z)))))
11.7b	(cbrt (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

54×	`cbrt-div`
35×	`flip3--` `flip--`
33×	`*-un-lft-identity`
32×	`frac-times`
26×	`associate-/l/`
21×	`cbrt-prod` `add-sqr-sqrt` `pow1`
16×	`associate-*l/`
15×	`add-cube-cbrt`
12×	`distribute-lft-out--`
11×	`associate-/r*` `times-frac` `add-exp-log`
10×	`associate-*r/` `log-pow`
7×	`add-cbrt-cube`
6×	`log-prod` `swap-sqr`
4×	`associate-r` `associate-l` `insert-posit16` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `difference-of-squares`
2×	`cbrt-undiv` `pow1/3` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod`
1×	`pow2` `clear-num` `frac-2neg` `pow-plus` `pow-prod-down` `pow-sqr` `-commutative` `pow-prod-up` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 136

Calls

4 calls:

15.0ms	(* (log z) (log z))
104.0ms	(/ (* (cbrt (* (- 1.0 (- z (log z))) (- 1.0 (- z (log z))))) (cbrt (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))) (cbrt (- (- 1.0 z) (log z))))
24.0ms	(cbrt (* (- 1.0 (- z (log z))) (- 1.0 (- z (log z)))))
15.0ms	(cbrt (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))

series904.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(* (log z) (log z))
487.0ms	(/ (* (cbrt (* (- 1.0 (- z (log z))) (- 1.0 (- z (log z))))) (cbrt (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))) (cbrt (- (- 1.0 z) (log z))))
103.0ms	(cbrt (* (- 1.0 (- z (log z))) (- 1.0 (- z (log z)))))
120.0ms	(cbrt (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))

simplify6.4s

Counts

148 → 148

Iterations

Iter	Nodes
done	5002
1	1762
0	606

prune1.6s

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes669.0ms

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	15
1	15
0	11

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.1s	9174×	body	80	valid
700.0ms	8830×	body	80	nan