Details

sample45.0ms

Algorithm

intervals

Results

20.0ms

273×

body

valid

simplify86.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	19	15
2	36	15
3	48	15
4	66	15
5	72	15
done	72	15

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.8b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* c c) (* d d))
0.5b	(- (* b c) (* a d))
25.3b	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-/r` `associate-/l`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

3 → 55

Calls

3 calls:

14.0ms	(+ (* c c) (* d d))
15.0ms	(- (* b c) (* a d))
57.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series260.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(+ (* c c) (* d d))
67.0ms	(- (* b c) (* a d))
146.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify1.3s

Counts

64 → 64

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	101	1120
1	319	1097
2	1746	983
done	5000	981

prune455.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 25.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* b c) (* a d))
15.7b	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
29.2b	(sqrt (+ (* c c) (* d d)))
29.2b	(sqrt (+ (* c c) (* d d)))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `add-exp-log` `sqrt-div` `associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 86

Calls

4 calls:

13.0ms	(- (* b c) (* a d))
52.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
13.0ms	(sqrt (+ (* c c) (* d d)))
14.0ms	(sqrt (+ (* c c) (* d d)))

series407.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(- (* b c) (* a d))
211.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
67.0ms	(sqrt (+ (* c c) (* d d)))
60.0ms	(sqrt (+ (* c c) (* d d)))

simplify1.2s

Counts

98 → 98

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	120	1814
1	312	1682
2	1189	1576
done	5000	1574

prune813.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 22.5b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (- (* b c) (* a d)) 3)
0.5b	(- (* b c) (* a d))
25.3b	(/ (cbrt (pow (- (* b c) (* a d)) 3)) (+ (* c c) (* d d)))
26.0b	(cbrt (pow (- (* b c) (* a d)) 3))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-prod`
45×	`times-frac`
42×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`unpow-prod-down` `cube-prod`
15×	`associate-/l*`
7×	`add-exp-log`
6×	`cube-div` `cube-mult` `unpow3` `add-cbrt-cube` `add-log-exp` `sqr-pow`
5×	`pow1`
4×	`cbrt-div` `flip3--` `flip--`
3×	`pow-unpow` `associate-/r*`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `pow-to-exp` `sub-neg` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `diff-log` `div-exp` `pow-exp` `clear-num` `rem-cbrt-cube` `flip-+` `div-inv` `rem-cube-cbrt`

Counts

4 → 139

Calls

4 calls:

19.0ms	(pow (- (* b c) (* a d)) 3)
16.0ms	(- (* b c) (* a d))
78.0ms	(/ (cbrt (pow (- (* b c) (* a d)) 3)) (+ (* c c) (* d d)))
17.0ms	(cbrt (pow (- (* b c) (* a d)) 3))

series533.0ms

Counts

4 → 12

Calls

4 calls:

243.0ms	(pow (- (* b c) (* a d)) 3)
69.0ms	(- (* b c) (* a d))
155.0ms	(/ (cbrt (pow (- (* b c) (* a d)) 3)) (+ (* c c) (* d d)))
66.0ms	(cbrt (pow (- (* b c) (* a d)) 3))

simplify2.5s

Counts

151 → 151

Iterations

Useful iterations: 2 (739.0ms)

Iter	Nodes	Cost
0	194	3678
1	506	3149
2	2952	2885
done	5000	2885

prune815.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 22.5b

localize42.0ms

Local error

Found 4 expressions with local error:

3.9b	(- (* c c) (* d d))
10.7b	(- (pow c 4) (pow d 4))
25.3b	(/ (- (* b c) (* a d)) (/ (- (pow c 4) (pow d 4)) (- (* c c) (* d d))))
38.4b	(/ (- (pow c 4) (pow d 4)) (- (* c c) (* d d)))

rewrite262.0ms

Algorithm

rewrite-expression-head

Rules

466×	`times-frac`
427×	`add-sqr-sqrt`
270×	`difference-of-squares`
251×	`*-un-lft-identity`
176×	`unpow-prod-down`
163×	`add-cube-cbrt`
132×	`sqr-pow`
66×	`associate-/r*`
44×	`distribute-lft-out--`
17×	`associate-/l*`
11×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
9×	`flip3--` `flip--`
8×	`add-log-exp`
6×	`div-inv`
4×	`pow1` `cbrt-undiv` `div-exp` `associate-/l/`
2×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `clear-num`

Counts

4 → 396

Calls

4 calls:

17.0ms	(- (* c c) (* d d))
34.0ms	(- (pow c 4) (pow d 4))
82.0ms	(/ (- (* b c) (* a d)) (/ (- (pow c 4) (pow d 4)) (- (* c c) (* d d))))
75.0ms	(/ (- (pow c 4) (pow d 4)) (- (* c c) (* d d)))

series564.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- (* c c) (* d d))
86.0ms	(- (pow c 4) (pow d 4))
294.0ms	(/ (- (* b c) (* a d)) (/ (- (pow c 4) (pow d 4)) (- (* c c) (* d d))))
122.0ms	(/ (- (pow c 4) (pow d 4)) (- (* c c) (* d d)))

simplify1.9s

Counts

408 → 408

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	646	14788
1	2212	13956
done	5001	13678

prune3.0s

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 22.5b

regimes416.0ms

Accuracy

37.3% (1.9b remaining)

Error of 25.1b against oracle of 23.2b and baseline of 26.3b

bsearch2.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	82
1	28	82
done	28	82

end0.0ms

sample1.1s

Algorithm

intervals

Results

670.0ms

8499×

body

valid