Details

sample132.0ms

Algorithm

intervals

Results

52.0ms	918×	body	80	nan
20.0ms	286×	body	80	valid
0.0ms	1×	body	640	valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	21
1	38	21
2	97	21
3	358	21
4	1139	21
5	2716	21
6	4064	21
done	5001	21

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.0b	(+ (* x (log y)) z)
0.1b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite288.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
22×	`add-sqr-sqrt`
20×	`add-log-exp`
18×	`*-un-lft-identity`
16×	`add-cube-cbrt`
12×	`distribute-rgt-in` `distribute-lft-in`
11×	`sum-log`
10×	`pow1`
8×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
7×	`associate-+l+`
6×	`associate-+r+` `associate-*l/`
4×	`flip3-+` `frac-add` `flip-+`
3×	`flip3--` `flip--`
2×	`+-commutative` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 96

Calls

4 calls:

266.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
4.0ms	(+ (* x (log y)) z)
11.0ms	(* (- b 0.5) (log c))
4.0ms	(* x (log y))

series383.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
50.0ms	(+ (* x (log y)) z)
58.0ms	(* (- b 0.5) (log c))
37.0ms	(* x (log y))

simplify623.0ms

Counts

108 → 108

Iterations

Useful iterations: 2 (179.0ms)

Iter	Nodes	Cost
0	241	1624
1	608	1546
2	2109	1434
done	5000	1434

prune443.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log y))
0.3b	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (- b 0.5) (log (cbrt c))))
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

4.0ms	(* x (log y))
17.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (- b 0.5) (log (cbrt c))))
0.0ms	(cbrt c)
1.0ms	(cbrt c)

series687.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* x (log y))
297.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (- b 0.5) (log (cbrt c))))
176.0ms	(cbrt c)
177.0ms	(cbrt c)

simplify547.0ms

Counts

90 → 90

Iterations

Useful iterations: done (544.0ms)

Iter	Nodes	Cost
0	188	1229
1	470	1127
2	1609	884
done	5001	870

prune462.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log y))
0.3b	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (- b 0.5) (log (pow c 1/3))))
0.6b	(cbrt c)
5.1b	(pow c 1/3)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

4.0ms	(* x (log y))
14.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (- b 0.5) (log (pow c 1/3))))
0.0ms	(cbrt c)
1.0ms	(pow c 1/3)

series812.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* x (log y))
415.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (- b 0.5) (log (pow c 1/3))))
180.0ms	(cbrt c)
173.0ms	(pow c 1/3)

simplify857.0ms

Counts

99 → 99

Iterations

Useful iterations: 2 (239.0ms)

Iter	Nodes	Cost
0	231	1388
1	577	1200
2	1985	1003
done	5000	1003

prune529.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt c)
0.6b	(cbrt (cbrt c))
5.1b	(pow c 1/3)
6.0b	(pow c 2/3)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `unpow-prod-down` `pow-unpow`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `sqr-pow`
1×	`unpow1/3`

Counts

4 → 60

Calls

4 calls:

0.0ms	(cbrt c)
1.0ms	(cbrt (cbrt c))
1.0ms	(pow c 1/3)
1.0ms	(pow c 2/3)

series758.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt c)
240.0ms	(cbrt (cbrt c))
168.0ms	(pow c 1/3)
166.0ms	(pow c 2/3)

simplify1.0s

Counts

72 → 72

Iterations

Useful iterations: 3 (270.0ms)

Iter	Nodes	Cost
0	97	409
1	190	328
2	473	317
3	1588	299
done	5000	299

prune440.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes452.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	46
1	48	46
done	48	46

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.5s	27556×	body	80	nan
600.0ms	9195×	body	80	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid