Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

399×

body

valid

simplify15.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	70	9
4	174	9
5	376	9
6	696	9
7	1233	9
8	2352	9
9	2948	9
10	3132	9
11	3441	9
12	3868	9
13	4269	9
14	4609	9
15	4884	9
16	4908	9
done	4908	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

3.0ms	(+ x (* (- y z) (- t x)))
18.0ms	(* (- y z) (- t x))

series90.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(+ x (* (- y z) (- t x)))
35.0ms	(* (- y z) (- t x))

simplify2.1s

Counts

55 → 55

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	110	687
1	290	651
2	1057	611
3	4707	609
done	5000	609

prune119.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

10.0ms	(* t (- y z))
3.0ms	(+ x (* t (- y z)))
13.0ms	(* (- y z) (- x))
12.0ms	(+ (+ x (* t (- y z))) (* (- y z) (- x)))

series159.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* t (- y z))
44.0ms	(+ x (* t (- y z)))
26.0ms	(* (- y z) (- x))
54.0ms	(+ (+ x (* t (- y z))) (* (- y z) (- x)))

simplify721.0ms

Counts

102 → 102

Iterations

Useful iterations: done (718.0ms)

Iter	Nodes	Cost
0	161	1273
1	456	1151
2	1755	1051
done	5000	1033

prune214.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- y z)) (cbrt (- y z)))
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))

rewrite36.0ms

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:

25.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
2.0ms	(cbrt (- y z))
3.0ms	(cbrt (- y z))
2.0ms	(cbrt (- y z))

series602.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
154.0ms	(cbrt (- y z))
150.0ms	(cbrt (- y z))
148.0ms	(cbrt (- y z))

simplify2.2s

Counts

113 → 113

Iterations

Useful iterations: 4 (1.2s)

Iter	Nodes	Cost
0	131	1384
1	262	1281
2	631	1223
3	1589	1128
4	4527	1080
done	5000	1080

prune349.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (* t (- y z))) (/ (* (- (* y y) (* z z)) (- x)) (+ y z)))
1.3b	(- (* y y) (* z z))
8.4b	(* (- (* y y) (* z z)) (- x))
14.9b	(/ (* (- (* y y) (* z z)) (- x)) (+ y z))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
11×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
10×	`add-cube-cbrt` `associate-r`
6×	`pow1`
4×	`times-frac` `associate-l` `associate-l/` `associate-/r` `distribute-rgt-neg-out`
3×	`distribute-lft-neg-in` `flip3--` `distribute-rgt-neg-in` `flip3-+` `distribute-frac-neg` `sum-log` `flip--` `flip-+` `distribute-lft-out`
2×	`cbrt-undiv` `div-exp` `frac-add` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `difference-of-squares`
1×	`+-commutative` `neg-mul-1` `sub-neg` `associate-+l+` `frac-2neg` `diff-log` `unsub-neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 88

Calls

4 calls:

19.0ms	(+ (+ x (* t (- y z))) (/ (* (- (* y y) (* z z)) (- x)) (+ y z)))
3.0ms	(- (* y y) (* z z))
13.0ms	(* (- (* y y) (* z z)) (- x))
14.0ms	(/ (* (- (* y y) (* z z)) (- x)) (+ y z))

series244.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(+ (+ x (* t (- y z))) (/ (* (- (* y y) (* z z)) (- x)) (+ y z)))
32.0ms	(- (* y y) (* z z))
45.0ms	(* (- (* y y) (* z z)) (- x))
56.0ms	(/ (* (- (* y y) (* z z)) (- x)) (+ y z))

simplify836.0ms

Counts

100 → 100

Iterations

Useful iterations: done (833.0ms)

Iter	Nodes	Cost
0	171	1763
1	533	1643
2	2228	1472
done	5001	1458

prune254.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes118.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	16	14
2	19	14
3	20	14
done	20	14

end0.0ms

sample632.0ms

Algorithm

intervals

Results

309.0ms

12332×

body

valid