Details

sample66.0ms

Algorithm

intervals

Results

25.0ms	767×	body	80	nan
11.0ms	259×	body	80	valid

simplify834.0ms

Counts

1 → 1

Iterations

Useful iterations: 4 (57.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	52	11
3	122	11
4	229	10
5	296	10
6	406	10
7	583	10
8	654	10
9	660	10
done	660	10

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (- (* x (log y)) y) z) (log t))
0.0b	(- (* x (log y)) y)
0.3b	(* x (log y))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 101

Calls

3 calls:

79.0ms	(+ (- (- (* x (log y)) y) z) (log t))
4.0ms	(- (* x (log y)) y)
4.0ms	(* x (log y))

series146.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(+ (- (- (* x (log y)) y) z) (log t))
56.0ms	(- (* x (log y)) y)
43.0ms	(* x (log y))

simplify1.7s

Counts

110 → 110

Iterations

Useful iterations: 3 (825.0ms)

Iter	Nodes	Cost
0	188	1155
1	420	1044
2	996	899
3	3437	858
done	5001	858

prune312.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt y))
0.0b	(+ (* (log (sqrt y)) x) (fma (log (sqrt y)) x (- (- (log t) y) z)))
0.1b	(fma (log (sqrt y)) x (- (- (log t) y) z))
0.3b	(* (log (sqrt y)) x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`add-exp-log`
6×	`log-prod` `associate-l` `log-pow` `add-cbrt-cube` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `sqrt-prod`
2×	`sqrt-pow1` `pow1/2` `fma-udef`
1×	`+-commutative` `associate-+r+` `fma-def` `flip3-+` `rem-log-exp` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 67

Calls

4 calls:

1.0ms	(log (sqrt y))
3.0ms	(+ (* (log (sqrt y)) x) (fma (log (sqrt y)) x (- (- (log t) y) z)))
0.0ms	(fma (log (sqrt y)) x (- (- (log t) y) z))
5.0ms	(* (log (sqrt y)) x)

series417.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(log (sqrt y))
140.0ms	(+ (* (log (sqrt y)) x) (fma (log (sqrt y)) x (- (- (log t) y) z)))
87.0ms	(fma (log (sqrt y)) x (- (- (log t) y) z))
123.0ms	(* (log (sqrt y)) x)

simplify1.5s

Counts

79 → 79

Iterations

Useful iterations: 3 (677.0ms)

Iter	Nodes	Cost
0	136	971
1	328	885
2	908	791
3	2825	745
done	5001	745

prune292.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (* 2 (log (cbrt y))))
0.3b	(* x (log (cbrt y)))
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 104

Calls

4 calls:

12.0ms	(* x (* 2 (log (cbrt y))))
5.0ms	(* x (log (cbrt y)))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series553.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(* x (* 2 (log (cbrt y))))
95.0ms	(* x (log (cbrt y)))
182.0ms	(cbrt y)
173.0ms	(cbrt y)

simplify2.0s

Counts

116 → 116

Iterations

Useful iterations: 3 (647.0ms)

Iter	Nodes	Cost
0	161	1097
1	300	1057
2	706	912
3	2599	895
done	5000	895

prune374.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt y))
0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 55

Calls

4 calls:

1.0ms	(cbrt (cbrt y))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series815.0ms

Counts

4 → 12

Calls

4 calls:

261.0ms	(cbrt (cbrt y))
189.0ms	(cbrt y)
182.0ms	(cbrt y)
182.0ms	(cbrt y)

simplify2.4s

Counts

67 → 67

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	46	329
1	79	313
2	151	287
3	306	275
4	858	275
5	3530	275
done	5000	275

prune344.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes175.0ms

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	21	30
1	29	30
done	29	30

end0.0ms

sample2.0s

Algorithm

intervals

Results

837.0ms	24065×	body	80	nan
347.0ms	8021×	body	80	valid
0.0ms	1×	body	1280	valid