Details

sample63.0ms

Algorithm

intervals

Results

21.0ms	286×	body	80	valid
17.0ms	273×	body	80	nan

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	25	12
2	51	12
3	101	12
4	156	12
5	206	12
6	250	12
7	363	12
8	497	12
9	624	12
10	679	12
11	680	12
done	680	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

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)))

rewrite627.0ms

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:

30.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
492.0ms	(+ (- 1.0 z) (log z))
103.0ms	(* y (+ (- 1.0 z) (log z)))

series477.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
305.0ms	(+ (- 1.0 z) (log z))
96.0ms	(* y (+ (- 1.0 z) (log z)))

simplify957.0ms

Counts

70 → 70

Iterations

Useful iterations: 2 (282.0ms)

Iter	Nodes	Cost
0	132	839
1	359	775
2	1200	704
done	5001	704

prune238.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* (log z) y)))
0.0b	(* y (- 1.0 z))
0.1b	(+ (* y (- 1.0 z)) (* (log z) y))
0.2b	(* (log z) y)

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

31.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* (log z) y)))
46.0ms	(* y (- 1.0 z))
14.0ms	(+ (* y (- 1.0 z)) (* (log z) y))
10.0ms	(* (log z) y)

series421.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* (log z) y)))
68.0ms	(* y (- 1.0 z))
141.0ms	(+ (* y (- 1.0 z)) (* (log z) y))
101.0ms	(* (log z) y)

simplify1.0s

Counts

85 → 85

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	150	993
1	401	889
2	1336	779
done	5000	762

prune337.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize37.0ms

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

rewrite904.0ms

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-exp-log` `sqrt-prod` `add-cbrt-cube`
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:

149.0ms	(+ (* x 0.5) (* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))))
191.0ms	(+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))
33.0ms	(+ (- 1.0 z) (log (sqrt z)))
525.0ms	(* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z))))

series436.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(+ (* x 0.5) (* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))))
82.0ms	(+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))
81.0ms	(+ (- 1.0 z) (log (sqrt z)))
140.0ms	(* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z))))

simplify1.1s

Counts

113 → 113

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	175	1690
1	504	1461
2	1667	1295
done	5000	1289

prune393.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
0.2b	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite982.0ms

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:

303.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
674.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.4s

Counts

4 → 12

Calls

4 calls:

523.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
257.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
309.0ms	(cbrt z)
262.0ms	(cbrt z)

simplify868.0ms

Counts

87 → 87

Iterations

Useful iterations: done (864.0ms)

Iter	Nodes	Cost
0	130	1128
1	315	1093
2	1016	902
done	5001	799

prune363.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes365.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	14
1	17	14
done	17	14

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.0s	9116×	body	80	valid
595.0ms	9300×	body	80	nan