Details

sample37.0ms

Algorithm

intervals

Results

18.0ms

337×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 3 (9.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	25	9
3	48	8
4	99	8
5	172	8
6	252	8
7	425	8
8	1078	8
9	3553	8
done	5000	8

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

1.3b	(fma (/ y t) (- z x) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (/ y t) (- z x) x)

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(fma (/ y t) (- z x) x)

simplify1.3s

Counts

13 → 13

Iterations

Useful iterations: 3 (42.0ms)

Iter	Nodes	Cost
0	23	154
1	40	154
2	93	138
3	276	123
4	1619	123
done	5001	123

prune36.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ y t) (- z x) x))
1.3b	(fma (/ y t) (- z x) x)
1.3b	(fma (/ y t) (- z x) x)
1.3b	(fma (/ y t) (- z x) x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

1.0ms	(cbrt (fma (/ y t) (- z x) x))
0.0ms	(fma (/ y t) (- z x) x)
0.0ms	(fma (/ y t) (- z x) x)
0.0ms	(fma (/ y t) (- z x) x)

series329.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(cbrt (fma (/ y t) (- z x) x))
45.0ms	(fma (/ y t) (- z x) x)
40.0ms	(fma (/ y t) (- z x) x)
34.0ms	(fma (/ y t) (- z x) x)

simplify672.0ms

Counts

55 → 55

Iterations

Useful iterations: done (671.0ms)

Iter	Nodes	Cost
0	60	683
1	117	678
2	288	611
3	1132	559
done	5001	552

prune170.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z x)) t))
0.0b	(* y (- z x))
5.5b	(/ (* y (- z x)) t)

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/`
3×	`expm1-log1p-u` `fma-def` `times-frac` `associate-l` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `sub-neg` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 88

Calls

3 calls:

18.0ms	(+ x (/ (* y (- z x)) t))
32.0ms	(* y (- z x))
28.0ms	(/ (* y (- z x)) t)

series199.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(+ x (/ (* y (- z x)) t))
45.0ms	(* y (- z x))
85.0ms	(/ (* y (- z x)) t)

simplify1.6s

Counts

97 → 97

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	167	1262
1	431	1061
2	1854	905
done	5001	859

prune282.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (- (/ (* z y) t) (/ (* x y) t)))
0.0b	(- (/ (* z y) t) (/ (* x y) t))
5.2b	(/ (* x y) t)
5.3b	(/ (* z y) t)

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

99×	`times-frac`
98×	`prod-diff`
76×	`*-un-lft-identity`
71×	`add-sqr-sqrt`
69×	`add-cube-cbrt`
51×	`associate-+r+`
33×	`div-inv`
14×	`add-exp-log` `add-cbrt-cube`
11×	`add-log-exp`
7×	`fma-neg`
6×	`associate-/r*`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `distribute-rgt-out--` `div-exp` `log1p-expm1-u`
3×	`fma-def`
2×	`sub-neg` `frac-2neg` `diff-log` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `distribute-lft-out` `associate-/l*` `distribute-lft-out--`
1×	`+-commutative` `associate-+r-` `flip3--` `flip3-+` `frac-sub` `flip--` `flip-+` `sub-div` `difference-of-squares`

Counts

4 → 195

Calls

4 calls:

79.0ms	(+ x (- (/ (* z y) t) (/ (* x y) t)))
30.0ms	(- (/ (* z y) t) (/ (* x y) t))
10.0ms	(/ (* x y) t)
17.0ms	(/ (* z y) t)

series152.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ x (- (/ (* z y) t) (/ (* x y) t)))
50.0ms	(- (/ (* z y) t) (/ (* x y) t))
27.0ms	(/ (* x y) t)
26.0ms	(/ (* z y) t)

simplify2.4s

Counts

207 → 207

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	261	4598
1	669	3815
2	3190	3254
done	5000	3014

prune846.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes132.0ms

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
done	7	8

end0.0ms

sample1.5s

Algorithm

intervals

Results

638.0ms

10564×

body

valid