Details

sample283.0ms

Algorithm

intervals

Results

103.0ms	999×	body	80	nan
51.0ms	289×	body	80	valid
0.0ms	1×	body	320	valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	21
1	38	21
2	99	21
3	399	21
4	1689	21
done	5000	21

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (log y)) z)
0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.2b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite883.0ms

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:

14.0ms	(+ (* x (log y)) z)
825.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
28.0ms	(* (- b 0.5) (log c))
12.0ms	(* x (log y))

series645.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(+ (* x (log y)) z)
391.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
99.0ms	(* (- b 0.5) (log c))
56.0ms	(* x (log y))

simplify1.3s

Counts

108 → 108

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	241	1624
1	643	1546
2	2495	1436
done	5000	1414

prune694.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

9.0ms	(* x (log y))
45.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (log (cbrt c)) (- b 0.5)))
1.0ms	(cbrt c)
2.0ms	(cbrt c)

series938.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* x (log y))
364.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (log (cbrt c)) (- b 0.5)))
235.0ms	(cbrt c)
297.0ms	(cbrt c)

simplify967.0ms

Counts

83 → 83

Iterations

Useful iterations: done (964.0ms)

Iter	Nodes	Cost
0	164	1074
1	458	966
2	1823	786
done	5002	751

prune584.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize80.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `pow1/3`
1×	`pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

4 → 53

Calls

4 calls:

1.0ms	(cbrt c)
1.0ms	(cbrt c)
2.0ms	(cbrt (cbrt c))
4.0ms	(pow c 2/3)

series1.1s

Counts

4 → 12

Calls

4 calls:

229.0ms	(cbrt c)
259.0ms	(cbrt c)
344.0ms	(cbrt (cbrt c))
252.0ms	(pow c 2/3)

simplify1.7s

Counts

65 → 65

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	75	356
1	171	315
2	603	288
3	2524	274
done	5002	270

prune545.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (* (cbrt (- c)) (cbrt -1))) (- (* 3 b) 1.5)))
0.3b	(* x (log y))
0.3b	(* (log (* (cbrt (- c)) (cbrt -1))) (- (* 3 b) 1.5))
0.6b	(cbrt (- c))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

1.0s	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (* (cbrt (- c)) (cbrt -1))) (- (* 3 b) 1.5)))
19.0ms	(* x (log y))
99.0ms	(* (log (* (cbrt (- c)) (cbrt -1))) (- (* 3 b) 1.5))
2.0ms	(cbrt (- c))

series2.4s

Counts

4 → 12

Calls

4 calls:

1.2s	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (* (cbrt (- c)) (cbrt -1))) (- (* 3 b) 1.5)))
47.0ms	(* x (log y))
768.0ms	(* (log (* (cbrt (- c)) (cbrt -1))) (- (* 3 b) 1.5))
321.0ms	(cbrt (- c))

simplify1.5s

Counts

105 → 105

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	235	1993
1	614	1876
2	2688	1755
done	5000	1742

prune656.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes860.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	38
1	43	38
done	43	38

end0.0ms

sample9.8s

Algorithm

intervals

Results

4.5s	28109×	body	80	nan
1.7s	9246×	body	80	valid
0.0ms	1×	body	1280	valid