Details

sample24.0ms

Algorithm

intervals

Results

8.0ms

339×

body

valid

simplify911.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	17	7
3	26	7
4	35	7
5	41	7
6	50	7
7	68	7
8	98	7
9	125	7
10	154	7
11	168	7
12	186	7
13	199	7
14	215	7
15	250	7
16	315	7
17	415	7
18	509	7
19	613	7
20	682	7
21	686	7
done	686	7

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z x))
0.0b	(+ x (* y (- z x)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

7.0ms	(* y (- z x))
6.0ms	(+ x (* y (- z x)))

series24.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(* y (- z x))
16.0ms	(+ x (* y (- z x)))

simplify1.1s

Counts

47 → 47

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	72	409
1	170	375
2	492	351
3	1750	351
done	5000	351

prune52.0ms

Filtered

29 candidates to 47 candidates (-62.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	44	3	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	4	48

Merged error: 0b

Counts

48 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- z x)) (cbrt (- z x)))
0.5b	(cbrt (- z x))
0.5b	(cbrt (- z x))
0.5b	(cbrt (- z x))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

15.0ms	(* (cbrt (- z x)) (cbrt (- z x)))
4.0ms	(cbrt (- z x))
3.0ms	(cbrt (- z x))
4.0ms	(cbrt (- z x))

series124.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (cbrt (- z x)) (cbrt (- z x)))
29.0ms	(cbrt (- z x))
28.0ms	(cbrt (- z x))
31.0ms	(cbrt (- z x))

simplify2.5s

Counts

113 → 113

Iterations

Useful iterations: 4 (1.6s)

Iter	Nodes	Cost
0	145	1432
1	286	1313
2	681	1234
3	1805	1108
4	4918	1066
done	5000	1066

prune118.0ms

Filtered

78 candidates to 113 candidates (-44.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	113	4	117

Merged error: 0b

Counts

117 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- z x))
0.0b	(+ x (cbrt (pow (* y (- z x)) 3)))
0.3b	(pow (* y (- z x)) 3)
33.8b	(cbrt (pow (* y (- z x)) 3))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`cbrt-prod` `add-cube-cbrt`
6×	`associate-*r/` `add-log-exp`
5×	`associate-r`
4×	`cube-div`
3×	`pow-unpow` `flip3--` `associate-l` `flip--`
2×	`distribute-rgt-in` `cube-mult` `sub-neg` `unpow-prod-down` `cbrt-div` `pow-pow` `distribute-lft-in` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow1/3` `sum-log` `*-commutative` `rem-cbrt-cube` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

7.0ms	(* y (- z x))
5.0ms	(+ x (cbrt (pow (* y (- z x)) 3)))
6.0ms	(pow (* y (- z x)) 3)
3.0ms	(cbrt (pow (* y (- z x)) 3))

series47.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* y (- z x))
11.0ms	(+ x (cbrt (pow (* y (- z x)) 3)))
14.0ms	(pow (* y (- z x)) 3)
11.0ms	(cbrt (pow (* y (- z x)) 3))

simplify594.0ms

Counts

93 → 93

Iterations

Useful iterations: done (592.0ms)

Iter	Nodes	Cost
0	140	1047
1	325	831
2	1147	779
done	5002	761

prune99.0ms

Filtered

61 candidates to 93 candidates (-52.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	93	4	97

Merged error: 0b

Counts

97 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- z x))
0.0b	(+ x (* (* y (sqrt (- z x))) (sqrt (- z x))))
0.1b	(* y (sqrt (- z x)))
0.1b	(* (* y (sqrt (- z x))) (sqrt (- z x)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`-un-lft-identity` `sqrt-div` `associate-r*` `sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*r/`
8×	`flip3--` `flip--`
6×	`add-log-exp`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`associate-l/` `-commutative` `unswap-sqr`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `sum-log` `flip-+`

Counts

4 → 85

Calls

4 calls:

4.0ms	(sqrt (- z x))
3.0ms	(+ x (* (* y (sqrt (- z x))) (sqrt (- z x))))
8.0ms	(* y (sqrt (- z x)))
13.0ms	(* (* y (sqrt (- z x))) (sqrt (- z x)))

series45.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(sqrt (- z x))
11.0ms	(+ x (* (* y (sqrt (- z x))) (sqrt (- z x))))
17.0ms	(* y (sqrt (- z x)))
8.0ms	(* (* y (sqrt (- z x))) (sqrt (- z x)))

simplify2.0s

Counts

97 → 97

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	153	1351
1	392	1015
2	1266	935
3	4887	925
done	5000	925

prune79.0ms

Filtered

62 candidates to 97 candidates (-56.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	97	4	101

Merged error: 0b

Counts

101 → 4

regimes190.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
done	8	7

end0.0ms

sample626.0ms

Algorithm

intervals

Results

247.0ms

10203×

body

valid

Details

sample24.0ms

simplify911.0ms

prune3.0ms

localize6.0ms

rewrite14.0ms

series24.0ms

simplify1.1s

prune52.0ms

localize10.0ms

rewrite29.0ms

series124.0ms

simplify2.5s

prune118.0ms

localize8.0ms

rewrite23.0ms

series47.0ms

simplify594.0ms

prune99.0ms

localize8.0ms

rewrite31.0ms

series45.0ms

simplify2.0s

prune79.0ms

regimes190.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample626.0ms

Profiling