Details

sample449.0ms

Algorithm

intervals

Results

420.0ms

396×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4680
5	875
4	265
3	80
2	28
1	14
0	8

prune9.0ms

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

6.0ms	(+ x (* (- y z) (- t x)))
40.0ms	(* (- y z) (- t x))

series141.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(+ x (* (- y z) (- t x)))
55.0ms	(* (- y z) (- t x))

simplify591.0ms

Counts

55 → 55

Iterations

Iter	Nodes
done	5002
2	1288
1	299
0	110

prune270.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `add-log-exp`
14×	`*-un-lft-identity`
12×	`associate-*r/`
10×	`associate-r`
8×	`distribute-rgt-in` `pow1` `sub-neg` `distribute-lft-in` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
7×	`sum-log`
6×	`flip3--` `associate-l` `flip--`
5×	`associate-+r+` `associate-+r-`
4×	`associate-+l+` `distribute-neg-in` `frac-add` `distribute-neg-frac`
2×	`neg-sub0` `+-commutative` `flip3-+` `unsub-neg` `pow-prod-down` `neg-log` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`distribute-lft-neg-in` `distribute-rgt-out` `distribute-lft-out`

Counts

4 → 98

Calls

4 calls:

35.0ms	(+ x (+ (* t (- y z)) (- (* x (- y z)))))
17.0ms	(* x (- y z))
20.0ms	(+ (* t (- y z)) (- (* x (- y z))))
23.0ms	(* t (- y z))

series266.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(+ x (+ (* t (- y z)) (- (* x (- y z)))))
57.0ms	(* x (- y z))
49.0ms	(+ (* t (- y z)) (- (* x (- y z))))
60.0ms	(* t (- y z))

simplify1.1s

Counts

110 → 110

Iterations

Iter	Nodes
done	5001
2	2387
1	520
0	163

prune503.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-log-exp`
18×	`sum-log`
15×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
7×	`associate-+r-`
6×	`distribute-lft-neg-out` `pow1` `add-cbrt-cube` `associate-*r/` `add-exp-log` `add-cube-cbrt`
5×	`associate-+r+` `flip3-+` `associate-r` `unsub-neg` `flip-+`
4×	`distribute-rgt-in` `distribute-neg-in` `sub-neg` `distribute-lft-in` `neg-log` `frac-add` `associate-+l-` `distribute-neg-frac` `distribute-lft-out`
3×	`+-commutative` `flip3--` `associate-l` `flip--`
2×	`neg-sub0`
1×	`associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

81.0ms	(+ x (+ (+ (* t y) (* (- t) z)) (- (* x (- y z)))))
34.0ms	(* x (- y z))
32.0ms	(+ (+ (* t y) (* (- t) z)) (- (* x (- y z))))
6.0ms	(+ (* t y) (* (- t) z))

series260.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(+ x (+ (+ (* t y) (* (- t) z)) (- (* x (- y z)))))
62.0ms	(* x (- y z))
60.0ms	(+ (+ (* t y) (* (- t) z)) (- (* x (- y z))))
57.0ms	(+ (* t y) (* (- t) z))

simplify1.4s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	2831
1	550
0	162

prune543.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- t x) (- y z))
0.2b	(* (sqrt (* (- t x) (- y z))) (sqrt (* (- t x) (- y z))))
1.0b	(sqrt (* (- t x) (- y z)))
1.0b	(sqrt (* (- t x) (- y z)))

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

160×	`sqrt-div`
148×	`frac-times`
126×	`flip3--` `flip--`
61×	`pow1`
50×	`associate-l/` `associate-r/`
32×	`sqrt-pow1`
23×	`pow-prod-down`
18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`pow1/2`
10×	`pow-prod-up` `add-cube-cbrt`
9×	`associate-r` `associate-l`
8×	`add-cbrt-cube` `add-exp-log`
6×	`pow-sqr` `sqrt-prod`
4×	`swap-sqr` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod`

Counts

4 → 201

Calls

4 calls:

56.0ms	(* (- t x) (- y z))
97.0ms	(* (sqrt (* (- t x) (- y z))) (sqrt (* (- t x) (- y z))))
27.0ms	(sqrt (* (- t x) (- y z)))
20.0ms	(sqrt (* (- t x) (- y z)))

series5.8s

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (- t x) (- y z))
63.0ms	(* (sqrt (* (- t x) (- y z))) (sqrt (* (- t x) (- y z))))
2.9s	(sqrt (* (- t x) (- y z)))
2.8s	(sqrt (* (- t x) (- y z)))

simplify1.2s

Counts

213 → 213

Iterations

Iter	Nodes
done	5001
2	2457
1	576
0	309

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes406.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	32
3	32
2	31
1	25
0	13

end0.0ms

sample1.5s

Algorithm

intervals

Results

711.0ms

12325×

body

valid