Details

sample81.0ms

Algorithm

intervals

Results

29.0ms	667×	body	80	nan
14.0ms	258×	body	80	valid

simplify3.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
13	4983
12	4501
11	4083
10	3523
9	2883
8	2214
7	1553
6	1117
5	645
4	320
3	122
2	51
1	21
0	10

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 3 expressions with local error:

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

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 101

Calls

3 calls:

8.0ms	(- (* x (log y)) y)
191.0ms	(+ (- (- (* x (log y)) y) z) (log t))
7.0ms	(* x (log y))

series183.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(- (* x (log y)) y)
60.0ms	(+ (- (- (* x (log y)) y) z) (log t))
51.0ms	(* x (log y))

simplify1.6s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	1301
1	478
0	188

prune818.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
16×	`prod-diff`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt`
9×	`pow1`
7×	`log-pow`
6×	`distribute-lft-out`
5×	`add-log-exp`
4×	`fma-neg` `distribute-lft-out--`
3×	`log-prod` `associate--l+`
2×	`expm1-log1p-u` `add-cbrt-cube` `diff-log` `add-exp-log` `log1p-expm1-u`
1×	`sum-log` `sub-neg` `flip3--` `fma-udef` `flip--` `associate--r+` `difference-of-squares`

Counts

2 → 54

Calls

2 calls:

21.0ms	(- (log t) (+ y z))
0.0ms	(fma (log y) x (- (log t) (+ y z)))

series130.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(- (log t) (+ y z))
78.0ms	(fma (log y) x (- (log t) (+ y z)))

simplify2.3s

Counts

60 → 60

Iterations

Iter	Nodes
done	5000
3	2405
2	652
1	254
0	109

prune353.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt y)) x)
0.3b	(+ (* (log (cbrt y)) (+ x x)) (* (log (cbrt y)) x))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

7.0ms	(* (log (cbrt y)) x)
18.0ms	(+ (* (log (cbrt y)) (+ x x)) (* (log (cbrt y)) x))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series976.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(* (log (cbrt y)) x)
204.0ms	(+ (* (log (cbrt y)) (+ x x)) (* (log (cbrt y)) x))
290.0ms	(cbrt y)
292.0ms	(cbrt y)

simplify4.2s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
3	4759
2	909
1	245
0	95

prune526.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt y)) x)
0.3b	(+ (* (log (pow y 1/3)) (+ x x)) (* (log (cbrt y)) x))
0.6b	(cbrt y)
4.9b	(pow y 1/3)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`pow1`
7×	`add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`cbrt-prod` `pow-unpow` `unpow-prod-down` `associate-r`
2×	`associate-+l+` `pow1/3` `log-pow`
1×	`distribute-rgt-in` `pow-to-exp` `+-commutative` `sum-log` `pow-pow` `fma-def` `distribute-lft-in` `flip3-+` `unpow1/3` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr` `sqr-pow`

Counts

4 → 71

Calls

4 calls:

7.0ms	(* (log (cbrt y)) x)
11.0ms	(+ (* (log (pow y 1/3)) (+ x x)) (* (log (cbrt y)) x))
1.0ms	(cbrt y)
3.0ms	(pow y 1/3)

series926.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(* (log (cbrt y)) x)
228.0ms	(+ (* (log (pow y 1/3)) (+ x x)) (* (log (cbrt y)) x))
286.0ms	(cbrt y)
246.0ms	(pow y 1/3)

simplify4.0s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
3	4223
2	1063
1	339
0	129

prune752.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes678.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample4.5s

Algorithm

intervals

Results

2.5s	23901×	body	80	nan
699.0ms	8025×	body	80	valid
1.0ms	1×	body	1280	valid
0.0ms	2×	body	320	valid