Details

sample176.0ms

Algorithm

intervals

Results

60.0ms	796×	body	80	nan
15.0ms	175×	body	80	valid
13.0ms	26×	body	640	valid
11.0ms	14×	body	1280	valid
6.0ms	23×	body	320	valid
3.0ms	19×	body	160	valid

simplify155.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.8b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.0b	(* z (log (- 1.0 y)))
0.2b	(* x (log y))
5.9b	(log (- 1.0 y))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`log-prod` `*-un-lft-identity`
13×	`add-cube-cbrt`
11×	`pow1`
9×	`add-exp-log` `add-log-exp`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `add-cbrt-cube`
6×	`associate-l`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`log-pow`
2×	`log-div` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `rem-log-exp` `associate--l+` `sum-log`

Counts

4 → 86

Calls

4 calls:

74.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
22.0ms	(* z (log (- 1.0 y)))
16.0ms	(* x (log y))
8.0ms	(log (- 1.0 y))

series349.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
109.0ms	(* z (log (- 1.0 y)))
57.0ms	(* x (log y))
65.0ms	(log (- 1.0 y))

simplify695.0ms

Counts: 98 → 98

prune345.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.0b	(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.0b	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.2b	(* x (log y))

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt`
80×	`times-frac`
78×	`associate-r`
56×	`unpow-prod-down`
53×	`*-un-lft-identity`
50×	`add-cube-cbrt`
31×	`add-exp-log`
24×	`log-prod` `unpow2` `sqr-pow`
19×	`unswap-sqr`
16×	`distribute-rgt-in` `distribute-lft-in`
13×	`add-cbrt-cube`
12×	`pow1` `prod-exp` `associate--l+`
10×	`associate-+r+`
9×	`div-exp` `associate-l`
6×	`pow-to-exp` `associate-+l+` `pow-exp` `add-log-exp`
4×	`sub-neg` `cbrt-unprod`
3×	`associate-r/` `pow-prod-down` `-commutative`
2×	`log-pow` `distribute-lft-out--`
1×	`cbrt-undiv` `+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `div-inv` `difference-of-squares`

Counts

4 → 195

Calls

4 calls:

47.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
32.0ms	(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
113.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
9.0ms	(* x (log y))

series499.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
192.0ms	(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
170.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
49.0ms	(* x (log y))

simplify1.4s

Counts: 207 → 207

prune1.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`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×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

21.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

288.0ms	(* (cbrt y) (cbrt y))
319.0ms	(cbrt y)
271.0ms	(cbrt y)
257.0ms	(cbrt y)

simplify841.0ms

Counts: 85 → 85

prune667.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (pow y 1/3) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
5.1b	(pow y 1/3)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
12×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log`
8×	`unpow-prod-down`
7×	`associate-l`
6×	`associate-r` `unswap-sqr`
5×	`pow1` `pow1/3` `add-cbrt-cube`
4×	`add-log-exp` `sqr-pow`
3×	`pow-unpow` `prod-exp`
2×	`pow-to-exp` `unpow1/3` `pow-exp` `cbrt-unprod`
1×	`pow-pow` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 75

Calls

4 calls:

20.0ms	(* (pow y 1/3) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
3.0ms	(pow y 1/3)

series1.2s

Counts

4 → 12

Calls

4 calls:

307.0ms	(* (pow y 1/3) (cbrt y))
312.0ms	(cbrt y)
250.0ms	(cbrt y)
308.0ms	(pow y 1/3)

simplify1.3s

Counts: 87 → 87

prune761.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes179.0ms

Accuracy

-0.9% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify886.0ms

end0.0ms

sample7.0s

Algorithm

intervals

Results

2.3s	24105×	body	80	nan
1.3s	902×	body	640	valid
619.0ms	5522×	body	80	valid
460.0ms	414×	body	1280	valid
312.0ms	734×	body	320	valid
82.0ms	460×	body	160	valid