Details

sample50.0ms

Algorithm

intervals

Results

14.0ms	290×	body	80	valid
11.0ms	287×	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

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 48

Calls

2 calls:

46.0ms	(+ (- 1.0 z) (log z))
139.0ms	(* y (+ (- 1.0 z) (log z)))

series404.0ms

Counts

2 → 6

Calls

2 calls:

273.0ms	(+ (- 1.0 z) (log z))
131.0ms	(* y (+ (- 1.0 z) (log z)))

simplify2.8s

Counts

54 → 54

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	95	529
1	247	501
2	794	444
3	4014	443
done	5000	437

prune166.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 73

Calls

3 calls:

27.0ms	(* y (- 1.0 z))
18.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
9.0ms	(* y (log z))

series273.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(* y (- 1.0 z))
149.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
57.0ms	(* y (log z))

simplify4.3s

Counts

82 → 82

Iterations

Useful iterations: done (4.3s)

Iter	Nodes	Cost
0	135	776
1	318	671
2	918	616
3	4227	598
done	5001	596

prune283.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

125.0ms	(* y (+ (* 2 (log (cbrt z))) (- 1.0 z)))
22.0ms	(* y (log (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series857.0ms

Counts

4 → 12

Calls

4 calls:

246.0ms	(* y (+ (* 2 (log (cbrt z))) (- 1.0 z)))
155.0ms	(* y (log (cbrt z)))
222.0ms	(cbrt z)
233.0ms	(cbrt z)

simplify3.0s

Counts

88 → 88

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	131	842
1	297	812
2	862	683
3	3969	671
done	5000	670

prune433.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (+ (* 2 (log (cbrt z))) (- 1.0 z)))
0.2b	(* y (log (pow z 1/3)))
0.6b	(cbrt z)
4.8b	(pow z 1/3)

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
14×	`log-prod`
9×	`pow1` `add-exp-log` `unpow-prod-down`
8×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
7×	`associate-r`
6×	`associate-l`
4×	`add-log-exp`
3×	`cbrt-prod` `pow-unpow` `sqr-pow`
2×	`associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow-to-exp` `pow-pow` `flip3-+` `unpow1/3` `pow1/3` `pow-exp` `log-pow` `flip-+`

Counts

4 → 84

Calls

4 calls:

114.0ms	(* y (+ (* 2 (log (cbrt z))) (- 1.0 z)))
24.0ms	(* y (log (pow z 1/3)))
2.0ms	(cbrt z)
6.0ms	(pow z 1/3)

series996.0ms

Counts

4 → 12

Calls

4 calls:

264.0ms	(* y (+ (* 2 (log (cbrt z))) (- 1.0 z)))
144.0ms	(* y (log (pow z 1/3)))
284.0ms	(cbrt z)
304.0ms	(pow z 1/3)

simplify3.7s

Counts

96 → 96

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	165	971
1	369	854
2	1053	729
3	4882	705
done	5000	704

prune488.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes138.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	19	22
1	26	22
done	26	22

end0.0ms

sample2.6s

Algorithm

intervals

Results

970.0ms	8816×	body	80	nan
818.0ms	9126×	body	80	valid