Details

sample59.0ms

Algorithm

intervals

Results

16.0ms	282×	body	80	valid
13.0ms	279×	body	80	nan

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	3816
6	2185
5	878
4	312
3	107
2	51
1	25
0	11

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

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)))

rewrite165.0ms

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

Counts

3 → 61

Calls

3 calls:

23.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
32.0ms	(+ (- 1.0 z) (log z))
106.0ms	(* y (+ (- 1.0 z) (log z)))

series499.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
308.0ms	(+ (- 1.0 z) (log z))
107.0ms	(* y (+ (- 1.0 z) (log z)))

simplify1.2s

Counts

70 → 70

Iterations

Iter	Nodes
done	5001
2	1672
1	363
0	126

prune434.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite678.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

77.0ms	(+ (* x 0.5) (* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))))
34.0ms	(+ (- 1.0 z) (log (sqrt z)))
175.0ms	(+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))
388.0ms	(* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z))))

series456.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(+ (* x 0.5) (* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))))
89.0ms	(+ (- 1.0 z) (log (sqrt z)))
75.0ms	(+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))
144.0ms	(* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z))))

simplify1.9s

Counts

113 → 113

Iterations

Iter	Nodes
done	5002
2	2582
1	533
0	180

prune631.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (+ (- 1.0 z) (+ (log (cbrt z)) (log (cbrt z)))) (log (cbrt z)))
0.7b	(cbrt z)
0.7b	(cbrt z)
0.7b	(cbrt z)

rewrite358.0ms

Algorithm

rewrite-expression-head

Rules

72×	`*-un-lft-identity`
58×	`distribute-lft-out`
31×	`pow1`
27×	`log-pow`
13×	`add-log-exp`
12×	`cbrt-prod`
11×	`sum-log`
10×	`distribute-lft-out--`
9×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`associate-+r+` `log-prod`
4×	`add-cbrt-cube` `add-exp-log`
3×	`pow1/3`
2×	`diff-log` `associate-+l-`
1×	`+-commutative` `associate-+l+` `flip3-+` `flip-+`

Counts

4 → 78

Calls

4 calls:

348.0ms	(+ (+ (- 1.0 z) (+ (log (cbrt z)) (log (cbrt z)))) (log (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

444.0ms	(+ (+ (- 1.0 z) (+ (log (cbrt z)) (log (cbrt z)))) (log (cbrt z)))
246.0ms	(cbrt z)
295.0ms	(cbrt z)
226.0ms	(cbrt z)

simplify1.0s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	1332
1	250
0	89

prune415.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

22.0ms	(* y (- 1.0 z))
32.0ms	(+ (+ (* x 0.5) (* y (- 1.0 z))) (* y (log z)))
7.0ms	(* y (log z))

series212.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* y (- 1.0 z))
107.0ms	(+ (+ (* x 0.5) (* y (- 1.0 z))) (* y (log z)))
57.0ms	(* y (log z))

simplify1.3s

Counts

79 → 79

Iterations

Iter	Nodes
done	5000
2	1292
1	368
0	144

prune299.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes240.0ms

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	21
1	21
0	15

end0.0ms

sample2.4s

Algorithm

intervals

Results

930.0ms	9093×	body	80	nan
635.0ms	9218×	body	80	valid