Details

sample304.0ms

Algorithm

intervals

Results

125.0ms	856×	body	80	nan
35.0ms	289×	body	80	valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize48.0ms

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))

rewrite881.0ms

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:

15.0ms	(+ (* x (log y)) z)
794.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
50.0ms	(* (- b 0.5) (log c))
16.0ms	(* x (log y))

series594.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(+ (* x (log y)) z)
364.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
93.0ms	(* (- b 0.5) (log c))
65.0ms	(* 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

prune831.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (log (cbrt c)) (- b 0.5)))
0.3b	(* x (log y))
0.5b	(cbrt c)
0.5b	(cbrt c)

rewrite55.0ms

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:

39.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (log (cbrt c)) (- b 0.5)))
13.0ms	(* x (log y))
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series887.0ms

Counts

4 → 12

Calls

4 calls:

380.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (log (cbrt c)) (- b 0.5)))
49.0ms	(* x (log y))
234.0ms	(cbrt c)
224.0ms	(cbrt c)

simplify970.0ms

Counts

83 → 83

Iterations

Useful iterations: done (966.0ms)

Iter	Nodes	Cost
0	164	1074
1	458	966
2	1836	786
done	5000	751

prune932.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (log (pow (/ 1 c) -1/3)) (- b 0.5)))
0.3b	(* x (log y))
0.5b	(cbrt c)
5.2b	(pow (/ 1 c) -1/3)

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
13×	`unpow-prod-down`
11×	`add-exp-log`
9×	`pow1` `times-frac`
8×	`associate-*r/`
7×	`distribute-rgt-in` `distribute-lft-in`
6×	`log-prod` `add-cbrt-cube` `add-log-exp`
4×	`sub-neg` `associate-+l+` `associate-+r+` `flip3--` `associate-r` `frac-add` `pow-exp` `flip--`
3×	`cbrt-prod` `pow-unpow` `pow-pow` `associate-l`
2×	`div-exp`
1×	`+-commutative` `pow-to-exp` `rec-exp` `distribute-rgt-out` `pow-flip` `flip3-+` `pow1/3` `1-exp` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `inv-pow` `unswap-sqr` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

31.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (log (pow (/ 1 c) -1/3)) (- b 0.5)))
9.0ms	(* x (log y))
1.0ms	(cbrt c)
17.0ms	(pow (/ 1 c) -1/3)

series1.3s

Counts

4 → 12

Calls

4 calls:

703.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (log (pow (/ 1 c) -1/3)) (- b 0.5)))
53.0ms	(* x (log y))
244.0ms	(cbrt c)
328.0ms	(pow (/ 1 c) -1/3)

simplify1.2s

Counts

104 → 104

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	247	1459
1	714	1261
2	2538	1042
done	5001	984

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 3 b) 1.5)
0.3b	(* (log (* (cbrt (- c)) (cbrt -1))) (- (* 3 b) 1.5))
0.3b	(* x (log y))
0.5b	(cbrt (- c))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

16.0ms	(- (* 3 b) 1.5)
102.0ms	(* (log (* (cbrt (- c)) (cbrt -1))) (- (* 3 b) 1.5))
12.0ms	(* x (log y))
2.0ms	(cbrt (- c))

series853.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (* 3 b) 1.5)
429.0ms	(* (log (* (cbrt (- c)) (cbrt -1))) (- (* 3 b) 1.5))
51.0ms	(* x (log y))
324.0ms	(cbrt (- c))

simplify852.0ms

Counts

94 → 94

Iterations

Useful iterations: done (843.0ms)

Iter	Nodes	Cost
0	166	1017
1	357	980
2	1256	873
done	5000	863

prune935.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes2.1s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	28
1	37	28
done	37	28

end0.0ms

sample10.3s

Algorithm

intervals

Results

4.3s	27015×	body	80	nan
2.2s	9156×	body	80	valid
1.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid