Details

sample55.0ms

Algorithm

intervals

Results

16.0ms	298×	body	80	valid
12.0ms	269×	body	80	nan

simplify46.0ms

Counts: 1 → 1

prune2.0ms

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)))

rewrite148.0ms

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))))
28.0ms	(+ (- 1.0 z) (log z))
98.0ms	(* y (+ (- 1.0 z) (log z)))

series428.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
251.0ms	(+ (- 1.0 z) (log z))
92.0ms	(* y (+ (- 1.0 z) (log z)))

simplify36.0ms

Counts: 70 → 70

prune209.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 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)))
0.7b	(cbrt z)
0.7b	(cbrt z)

rewrite726.0ms

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:

542.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
179.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

223.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
436.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
233.0ms	(cbrt z)
266.0ms	(cbrt z)

simplify34.0ms

Counts: 87 → 87

prune401.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (- (+ (* 2 (log (cbrt z))) 1.0) z))
0.3b	(* (log (pow z 1/3)) y)
0.7b	(cbrt z)
5.0b	(pow z 1/3)

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
9×	`pow1` `add-exp-log`
8×	`associate-r` `add-cbrt-cube`
7×	`associate-l`
4×	`add-log-exp`
3×	`cbrt-prod` `distribute-rgt-in` `unpow-prod-down` `pow-unpow` `distribute-lft-in`
2×	`sub-neg` `associate-r/` `pow-prod-down` `prod-exp` `associate--l+` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow-to-exp` `flip3--` `pow-pow` `unpow1/3` `pow1/3` `pow-exp` `log-pow` `flip--` `distribute-lft-out--` `difference-of-squares` `sqr-pow`

Counts

4 → 76

Calls

4 calls:

152.0ms	(* y (- (+ (* 2 (log (cbrt z))) 1.0) z))
9.0ms	(* (log (pow z 1/3)) y)
1.0ms	(cbrt z)
3.0ms	(pow z 1/3)

series763.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(* y (- (+ (* 2 (log (cbrt z))) 1.0) z))
110.0ms	(* (log (pow z 1/3)) y)
206.0ms	(cbrt z)
260.0ms	(pow z 1/3)

simplify29.0ms

Counts: 88 → 88

prune354.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `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 → 87

Calls

4 calls:

63.0ms	(* (cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))) (cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))))
7.0ms	(cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z)))))
7.0ms	(cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z)))))
7.0ms	(cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z)))))

series3.6s

Counts

4 → 12

Calls

4 calls:

1.2s	(* (cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))) (cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))))
882.0ms	(cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z)))))
751.0ms	(cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z)))))
740.0ms	(cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z)))))

simplify52.0ms

Counts: 99 → 99

prune467.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes357.0ms

Accuracy

-9% (0.1b remaining)

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

bsearch0.0ms

simplify68.0ms

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.1s	9019×	body	80	nan
758.0ms	9183×	body	80	valid