Details

sample38.0ms

Algorithm

intervals

Results

18.0ms

335×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
32	4862
31	4711
30	4546
29	4395
28	4247
27	4096
26	3931
25	3780
24	3632
23	3481
22	3316
21	3165
20	3017
19	2866
18	2701
17	2550
16	2402
15	2253
14	2094
13	1929
12	1618
11	1065
10	310
9	171
8	134
7	97
6	75
5	63
4	50
3	34
2	20
1	13
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) z)
0.0b	(+ (* x y) (* (- 1.0 x) z))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

17.0ms	(* (- 1.0 x) z)
7.0ms	(+ (* x y) (* (- 1.0 x) z))

series69.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* (- 1.0 x) z)
38.0ms	(+ (* x y) (* (- 1.0 x) z))

simplify2.0s

Counts

39 → 39

Iterations

Iter	Nodes
done	5002
3	2527
2	603
1	190
0	71

prune185.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- 1.0 x) z)) (cbrt (* (- 1.0 x) z)))
0.5b	(cbrt (* (- 1.0 x) z))
0.5b	(cbrt (* (- 1.0 x) z))
0.5b	(cbrt (* (- 1.0 x) z))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

23.0ms	(* (cbrt (* (- 1.0 x) z)) (cbrt (* (- 1.0 x) z)))
6.0ms	(cbrt (* (- 1.0 x) z))
6.0ms	(cbrt (* (- 1.0 x) z))
7.0ms	(cbrt (* (- 1.0 x) z))

series530.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(* (cbrt (* (- 1.0 x) z)) (cbrt (* (- 1.0 x) z)))
125.0ms	(cbrt (* (- 1.0 x) z))
121.0ms	(cbrt (* (- 1.0 x) z))
126.0ms	(cbrt (* (- 1.0 x) z))

simplify1.6s

Counts

84 → 84

Iterations

Iter	Nodes
done	5001
3	2704
2	919
1	388
0	154

prune499.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (/ (* (* z (+ 1.0 x)) (- 1.0 x)) (+ 1.0 x)))
0.0b	(* z (+ 1.0 x))
0.1b	(* (* z (+ 1.0 x)) (- 1.0 x))
5.9b	(/ (* (* z (+ 1.0 x)) (- 1.0 x)) (+ 1.0 x))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

23.0ms	(+ (* x y) (/ (* (* z (+ 1.0 x)) (- 1.0 x)) (+ 1.0 x)))
28.0ms	(* z (+ 1.0 x))
39.0ms	(* (* z (+ 1.0 x)) (- 1.0 x))
40.0ms	(/ (* (* z (+ 1.0 x)) (- 1.0 x)) (+ 1.0 x))

series231.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ (* x y) (/ (* (* z (+ 1.0 x)) (- 1.0 x)) (+ 1.0 x)))
38.0ms	(* z (+ 1.0 x))
93.0ms	(* (* z (+ 1.0 x)) (- 1.0 x))
58.0ms	(/ (* (* z (+ 1.0 x)) (- 1.0 x)) (+ 1.0 x))

simplify1.8s

Counts

113 → 113

Iterations

Iter	Nodes
done	5003
2	2571
1	544
0	160

prune583.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
0.0b	(+ (* z 1.0) (* x (- y z)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

17.0ms	(* x (- y z))
7.0ms	(+ (* z 1.0) (* x (- y z)))

series82.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(* x (- y z))
43.0ms	(+ (* z 1.0) (* x (- y z)))

simplify1.5s

Counts

47 → 47

Iterations

Iter	Nodes
done	5019
3	2418
2	603
1	202
0	78

prune154.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes230.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample646.0ms

Algorithm

intervals

Results

368.0ms

10099×

body

valid