Details

sample39.0ms

Algorithm

intervals

Results

10.0ms	285×	body	80	valid
9.0ms	258×	body	80	nan

simplify989.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	25	12
2	51	12
3	101	12
4	156	12
5	206	12
6	250	12
7	363	12
8	497	12
9	624	12
10	679	12
11	680	12
done	680	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite125.0ms

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×	`add-exp-log` `associate-+r+` `add-cbrt-cube`
4×	`log-pow` `distribute-lft-out--`
3×	`log-prod` `flip3-+` `associate-l` `sum-log` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-*r/`
1×	`associate-+l-` `sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

27.0ms	(+ (- 1.0 z) (log z))
19.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
77.0ms	(* y (+ (- 1.0 z) (log z)))

series301.0ms

Counts

3 → 9

Calls

3 calls:

163.0ms	(+ (- 1.0 z) (log z))
64.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
75.0ms	(* y (+ (- 1.0 z) (log z)))

simplify562.0ms

Counts

70 → 70

Iterations

Useful iterations: 2 (155.0ms)

Iter	Nodes	Cost
0	132	839
1	359	775
2	1203	704
done	5000	704

prune154.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- 1.0 z))
0.0b	(+ (* y (- 1.0 z)) (* 0.5 x))
0.1b	(+ (+ (* y (- 1.0 z)) (* 0.5 x)) (* (log z) y))
0.3b	(* (log z) y)

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
11×	`add-log-exp`
10×	`*-un-lft-identity`
9×	`pow1`
8×	`add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
7×	`associate-l`
5×	`associate-+l+`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `sum-log`
2×	`+-commutative` `flip3-+` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`flip3--` `log-pow` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 73

Calls

4 calls:

20.0ms	(* y (- 1.0 z))
13.0ms	(+ (* y (- 1.0 z)) (* 0.5 x))
51.0ms	(+ (+ (* y (- 1.0 z)) (* 0.5 x)) (* (log z) y))
8.0ms	(* (log z) y)

series196.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* y (- 1.0 z))
35.0ms	(+ (* y (- 1.0 z)) (* 0.5 x))
64.0ms	(+ (+ (* y (- 1.0 z)) (* 0.5 x)) (* (log z) y))
61.0ms	(* (log z) y)

simplify643.0ms

Counts

85 → 85

Iterations

Useful iterations: done (641.0ms)

Iter	Nodes	Cost
0	142	958
1	373	873
2	1288	818
done	5000	779

prune170.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* y (+ (- 1.0 z) (log z)))) (cbrt (* y (+ (- 1.0 z) (log z)))))
0.6b	(cbrt (* y (+ (- 1.0 z) (log z))))
0.6b	(cbrt (* y (+ (- 1.0 z) (log z))))
0.6b	(cbrt (* y (+ (- 1.0 z) (log z))))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

27.0ms	(* (cbrt (* y (+ (- 1.0 z) (log z)))) (cbrt (* y (+ (- 1.0 z) (log z)))))
20.0ms	(cbrt (* y (+ (- 1.0 z) (log z))))
20.0ms	(cbrt (* y (+ (- 1.0 z) (log z))))
22.0ms	(cbrt (* y (+ (- 1.0 z) (log z))))

series566.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(* (cbrt (* y (+ (- 1.0 z) (log z)))) (cbrt (* y (+ (- 1.0 z) (log z)))))
133.0ms	(cbrt (* y (+ (- 1.0 z) (log z))))
128.0ms	(cbrt (* y (+ (- 1.0 z) (log z))))
129.0ms	(cbrt (* y (+ (- 1.0 z) (log z))))

simplify964.0ms

Counts

84 → 84

Iterations

Useful iterations: done (960.0ms)

Iter	Nodes	Cost
0	274	3418
1	770	3197
2	2646	2993
done	5001	2820

prune369.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.6b	(* (cbrt y) (cbrt y))
0.6b	(cbrt (* y (+ (- 1.0 z) (log z))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cbrt-prod`
22×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`cbrt-div` `associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `flip3-+` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

4 → 73

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
13.0ms	(* (cbrt y) (cbrt y))
20.0ms	(cbrt (* y (+ (- 1.0 z) (log z))))

series698.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt y)
190.0ms	(cbrt y)
195.0ms	(* (cbrt y) (cbrt y))
129.0ms	(cbrt (* y (+ (- 1.0 z) (log z))))

simplify710.0ms

Counts

85 → 85

Iterations

Useful iterations: done (708.0ms)

Iter	Nodes	Cost
0	187	1063
1	480	946
2	1475	904
done	5000	772

prune295.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes209.0ms

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

sample1.1s

Algorithm

intervals

Results

319.0ms	9183×	body	80	valid
249.0ms	9279×	body	80	nan