Details

sample58.0ms

Algorithm

intervals

Results

16.0ms	299×	body	80	valid
13.0ms	294×	body	80	nan

simplify867.0ms

Counts: 1 → 1

prune3.0ms

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

rewrite195.0ms

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:

20.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
31.0ms	(+ (- 1.0 z) (log z))
141.0ms	(* y (+ (- 1.0 z) (log z)))

series470.0ms

Counts

3 → 9

Calls

3 calls:

105.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
246.0ms	(+ (- 1.0 z) (log z))
119.0ms	(* y (+ (- 1.0 z) (log z)))

simplify783.0ms

Counts: 70 → 70

prune192.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
0.2b	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite811.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

561.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
244.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
1.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

252.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
431.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
277.0ms	(cbrt z)
256.0ms	(cbrt z)

simplify567.0ms

Counts: 87 → 87

prune320.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (- (+ (* 2 (log (cbrt z))) 1.0) z))
0.2b	(* y (log (cbrt z)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
12×	`cbrt-prod` `log-prod`
10×	`associate-r`
9×	`pow1` `distribute-rgt-in` `distribute-lft-in`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-l`
4×	`add-log-exp`
3×	`pow1/3`
2×	`sub-neg` `associate-r/` `pow-prod-down` `prod-exp` `associate--l+` `log-pow` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 82

Calls

4 calls:

168.0ms	(* y (- (+ (* 2 (log (cbrt z))) 1.0) z))
18.0ms	(* y (log (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series935.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(* y (- (+ (* 2 (log (cbrt z))) 1.0) z))
147.0ms	(* y (log (cbrt z)))
297.0ms	(cbrt z)
279.0ms	(cbrt z)

simplify544.0ms

Counts: 94 → 94

prune453.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt (* (cbrt z) (cbrt z)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 42

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
6.0ms	(cbrt (* (cbrt z) (cbrt z)))

series1.6s

Counts

4 → 12

Calls

4 calls:

625.0ms	(cbrt z)
267.0ms	(cbrt z)
319.0ms	(cbrt z)
392.0ms	(cbrt (* (cbrt z) (cbrt z)))

simplify842.0ms

Counts: 54 → 54

prune413.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes162.0ms

Accuracy

-4.7% (0.1b remaining)

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

bsearch0.0ms

simplify1.5s

end0.0ms

sample2.3s

Algorithm

intervals

Results

735.0ms	9252×	body	80	nan
700.0ms	9138×	body	80	valid