Details

sample91.0ms

Algorithm

intervals

Results

26.0ms	299×	body	80	valid
22.0ms	305×	body	80	nan

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	11	12
1	26	11
2	57	11
3	118	11
4	204	11
5	301	11
6	380	11
7	531	11
8	800	11
9	1034	11
10	1180	11
11	1186	11
done	1186	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

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)))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
11×	`associate-+l+`
9×	`pow1` `prod-diff`
8×	`distribute-lft-out` `add-log-exp`
7×	`associate-r`
6×	`fma-def`
5×	`add-exp-log` `associate-+r+` `add-cbrt-cube` `distribute-lft-out--`
4×	`log-pow`
3×	`expm1-log1p-u` `log-prod` `flip3-+` `associate-l` `sum-log` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`associate-+l-` `sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

3 → 82

Calls

3 calls:

26.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
41.0ms	(+ (- 1.0 z) (log z))
97.0ms	(* y (+ (- 1.0 z) (log z)))

series463.0ms

Counts

3 → 9

Calls

3 calls:

121.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
243.0ms	(+ (- 1.0 z) (log z))
99.0ms	(* y (+ (- 1.0 z) (log z)))

simplify1.2s

Counts

91 → 91

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	149	1029
1	410	915
2	1356	797
done	5000	796

prune392.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

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)))

rewrite347.0ms

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×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 139

Calls

4 calls:

241.0ms	(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))
18.0ms	(cbrt (+ (- 1.0 z) (log z)))
34.0ms	(cbrt (+ (- 1.0 z) (log z)))
47.0ms	(cbrt (+ (- 1.0 z) (log z)))

series328.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))
64.0ms	(cbrt (+ (- 1.0 z) (log z)))
88.0ms	(cbrt (+ (- 1.0 z) (log z)))
86.0ms	(cbrt (+ (- 1.0 z) (log z)))

simplify1.3s

Counts

151 → 151

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	241	3528
1	645	3142
2	2072	3010
done	5000	2641

prune606.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 z) (- 1.0 z))
0.6b	(* (log z) (log z))
4.7b	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
13.2b	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

rewrite387.0ms

Algorithm

rewrite-expression-head

Rules

86×	`*-un-lft-identity`
72×	`add-sqr-sqrt`
61×	`distribute-rgt-in` `distribute-lft-in`
56×	`prod-diff`
54×	`add-cube-cbrt`
44×	`associate--l+`
30×	`pow1`
18×	`distribute-lft-out--`
15×	`add-exp-log` `add-cbrt-cube`
13×	`swap-sqr` `associate-r`
12×	`associate-l`
10×	`log-pow`
9×	`flip3--` `flip--`
8×	`sub-neg` `times-frac` `associate-/r*`
7×	`difference-of-squares`
6×	`log-prod` `associate-*r/`
4×	`expm1-log1p-u` `frac-times` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `*-commutative` `unswap-sqr`
2×	`cbrt-undiv` `pow2` `pow-plus` `div-exp` `associate-*l/` `associate-/r/` `pow-sqr` `pow-prod-up` `associate-/l/`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 213

Calls

4 calls:

69.0ms	(* (- 1.0 z) (- 1.0 z))
12.0ms	(* (log z) (log z))
104.0ms	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
183.0ms	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

series723.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (- 1.0 z) (- 1.0 z))
248.0ms	(* (log z) (log z))
119.0ms	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
324.0ms	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

simplify2.6s

Counts

225 → 225

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	392	4993
1	925	4128
2	3179	3576
done	5001	3363

prune558.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (log z) (log z))
0.8b	(pow (log z) 3)
3.7b	(* y (+ (pow (- 1.0 z) 3) (pow (log z) 3)))
19.7b	(/ (* y (+ (pow (- 1.0 z) 3) (pow (log z) 3))) (+ (* (- 1.0 z) (- 1.0 z)) (- (* (log z) (log z)) (* (- 1.0 z) (log z)))))

rewrite456.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
30×	`pow1`
25×	`associate-r`
21×	`add-sqr-sqrt`
20×	`unpow-prod-down` `flip3--` `cube-prod` `flip--`
18×	`associate-/r/`
17×	`add-cube-cbrt` `distribute-lft-out`
16×	`frac-add` `log-pow`
14×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-*r/` `distribute-lft-out--`
7×	`associate-l`
6×	`log-prod` `swap-sqr`
4×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `flip3-+` `times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `flip-+`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `associate-/l/` `unswap-sqr`
1×	`pow2` `cube-mult` `pow-to-exp` `pow-pow` `frac-2neg` `pow-plus` `unpow3` `pow-exp` `clear-num` `pow-sqr` `sum-cubes` `pow-prod-up` `div-inv` `associate-/l*` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 150

Calls

4 calls:

16.0ms	(* (log z) (log z))
3.0ms	(pow (log z) 3)
266.0ms	(* y (+ (pow (- 1.0 z) 3) (pow (log z) 3)))
156.0ms	(/ (* y (+ (pow (- 1.0 z) 3) (pow (log z) 3))) (+ (* (- 1.0 z) (- 1.0 z)) (- (* (log z) (log z)) (* (- 1.0 z) (log z)))))

series1.2s

Counts

4 → 12

Calls

4 calls:

208.0ms	(* (log z) (log z))
225.0ms	(pow (log z) 3)
141.0ms	(* y (+ (pow (- 1.0 z) 3) (pow (log z) 3)))
654.0ms	(/ (* y (+ (pow (- 1.0 z) 3) (pow (log z) 3))) (+ (* (- 1.0 z) (- 1.0 z)) (- (* (log z) (log z)) (* (- 1.0 z) (log z)))))

simplify677.0ms

Counts

162 → 162

Iterations

Useful iterations: done (671.0ms)

Iter	Nodes	Cost
0	362	4134
1	1147	3390
done	5000	3128

prune668.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes321.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	15	12
done	15	12

end0.0ms

sample2.3s

Algorithm

intervals

Results

783.0ms	9073×	body	80	valid
688.0ms	9159×	body	80	nan