Details

sample38.0ms

Algorithm

intervals

Results

16.0ms

379×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

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:

7.0ms	(+ x (* (- y z) (- t x)))
28.0ms	(* (- y z) (- t x))

series110.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(+ x (* (- y z) (- t x)))
42.0ms	(* (- y z) (- t x))

simplify1.1s

Counts

55 → 55

Iterations

Iter	Nodes
done	5002
2	1288
1	299
0	110

prune295.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite426.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

352.0ms	(+ x (+ (* (- y z) t) (* (- y z) (- x))))
20.0ms	(* (- y z) (- x))
23.0ms	(* (- y z) t)
26.0ms	(+ (* (- y z) t) (* (- y z) (- x)))

series258.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(+ x (+ (* (- y z) t) (* (- y z) (- x))))
54.0ms	(* (- y z) (- x))
54.0ms	(* (- y z) t)
83.0ms	(+ (* (- y z) t) (* (- y z) (- x)))

simplify1.3s

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
2	2070
1	472
0	157

prune496.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

14.0ms	(- (* z (- x t)) (* y x))
27.0ms	(+ x (- (* z (- x t)) (* y x)))
16.0ms	(* z (- x t))

series131.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(- (* z (- x t)) (* y x))
53.0ms	(+ x (- (* z (- x t)) (* y x)))
39.0ms	(* z (- x t))

simplify2.3s

Counts

71 → 71

Iterations

Iter	Nodes
done	5002
3	4586
2	912
1	266
0	102

prune425.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize67.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (* t t) (+ (* x x) (* t x)))
1.8b	(+ (* x x) (* t x))
6.0b	(* (- (* t (* t t)) (* x (* x x))) (- y z))
35.5b	(/ (* (- (* t (* t t)) (* x (* x x))) (- y z)) (+ (* t t) (+ (* x x) (* t x))))

rewrite254.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

15.0ms	(+ (* t t) (+ (* x x) (* t x)))
8.0ms	(+ (* x x) (* t x))
137.0ms	(* (- (* t (* t t)) (* x (* x x))) (- y z))
91.0ms	(/ (* (- (* t (* t t)) (* x (* x x))) (- y z)) (+ (* t t) (+ (* x x) (* t x))))

series327.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (* t t) (+ (* x x) (* t x)))
49.0ms	(+ (* x x) (* t x))
88.0ms	(* (- (* t (* t t)) (* x (* x x))) (- y z))
152.0ms	(/ (* (- (* t (* t t)) (* x (* x x))) (- y z)) (+ (* t t) (+ (* x x) (* t x))))

simplify3.0s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	4635
1	629
0	180

prune725.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes373.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	21
3	21
2	20
1	16
0	10

end0.0ms

sample1.3s

Algorithm

intervals

Results

610.0ms

12192×

body

valid