Details

sample74.0ms

Algorithm

intervals

Results

30.0ms	282×	body	80	valid
16.0ms	279×	body	80	nan

simplify1.5s

Counts

1 → 1

Iterations

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

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)))

rewrite124.0ms

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:

19.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
29.0ms	(+ (- 1.0 z) (log z))
73.0ms	(* y (+ (- 1.0 z) (log z)))

series476.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
261.0ms	(+ (- 1.0 z) (log z))
122.0ms	(* y (+ (- 1.0 z) (log z)))

simplify700.0ms

Counts

70 → 70

Iterations

Iter	Nodes
done	5001
2	1672
1	363
0	126

prune373.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (+ (+ (- 1.0 z) (* 2 (log (cbrt z)))) (log (cbrt z))))
0.2b	(+ (+ (- 1.0 z) (* 2 (log (cbrt z)))) (log (cbrt z)))
0.7b	(cbrt z)
0.7b	(cbrt z)

rewrite419.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

240.0ms	(* y (+ (+ (- 1.0 z) (* 2 (log (cbrt z)))) (log (cbrt z))))
173.0ms	(+ (+ (- 1.0 z) (* 2 (log (cbrt z)))) (log (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

220.0ms	(* y (+ (+ (- 1.0 z) (* 2 (log (cbrt z)))) (log (cbrt z))))
441.0ms	(+ (+ (- 1.0 z) (* 2 (log (cbrt z)))) (log (cbrt z)))
250.0ms	(cbrt z)
257.0ms	(cbrt z)

simplify836.0ms

Counts

81 → 81

Iterations

Iter	Nodes
done	5002
2	1758
1	358
0	128

prune614.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ (- 1.0 z) (* 2/3 (log z))) y)
0.3b	(* (log (cbrt z)) y)
0.4b	(* 2/3 (log z))
0.7b	(cbrt z)

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
12×	`pow1`
11×	`associate-l`
10×	`add-cbrt-cube` `associate-r` `add-exp-log`
6×	`log-prod`
4×	`add-log-exp`
3×	`cbrt-prod` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`pow1/3` `associate-*l/`
1×	`flip3-+` `flip-+`

Counts

4 → 76

Calls

4 calls:

66.0ms	(* (+ (- 1.0 z) (* 2/3 (log z))) y)
13.0ms	(* (log (cbrt z)) y)
14.0ms	(* 2/3 (log z))
2.0ms	(cbrt z)

series932.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(* (+ (- 1.0 z) (* 2/3 (log z))) y)
201.0ms	(* (log (cbrt z)) y)
277.0ms	(* 2/3 (log z))
296.0ms	(cbrt z)

simplify785.0ms

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	1439
1	366
0	156

prune683.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ (- 1.0 z) (log (pow z 2/3))) y)
0.3b	(* (log (cbrt z)) y)
0.7b	(cbrt z)
5.9b	(pow z 2/3)

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
10×	`pow1` `associate-l`
9×	`add-exp-log`
8×	`add-cbrt-cube`
6×	`associate-r`
4×	`add-log-exp`
3×	`cbrt-prod` `pow-unpow` `unpow-prod-down`
2×	`pow1/3` `pow-prod-down` `associate-l/` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`pow-to-exp` `pow-pow` `flip3-+` `pow-exp` `flip-+` `distribute-lft-out--` `sqr-pow`

Counts

4 → 70

Calls

4 calls:

87.0ms	(* (+ (- 1.0 z) (log (pow z 2/3))) y)
7.0ms	(* (log (cbrt z)) y)
1.0ms	(cbrt z)
2.0ms	(pow z 2/3)

series973.0ms

Counts

4 → 12

Calls

4 calls:

253.0ms	(* (+ (- 1.0 z) (log (pow z 2/3))) y)
178.0ms	(* (log (cbrt z)) y)
255.0ms	(cbrt z)
287.0ms	(pow z 2/3)

simplify832.0ms

Counts

82 → 82

Iterations

Iter	Nodes
done	5001
2	1630
1	359
0	141

prune716.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes343.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	23
1	23
0	17

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.2s	9218×	body	80	valid
768.0ms	9093×	body	80	nan