Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

332×

body

valid

simplify8.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	26	8
3	56	8
4	98	8
5	140	8
6	178	8
7	212	8
8	255	8
9	341	8
10	451	8
11	514	8
12	580	8
13	624	8
14	664	8
15	762	8
16	1011	8
17	1319	8
18	1919	8
19	2471	8
20	2572	8
21	2578	8
done	2578	8

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.5b

localize7.0ms

Local error

Found 1 expressions with local error:

1.5b	(fma (- y x) (/ z t) 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:

0.0ms

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

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify529.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (27.0ms)

Iter	Nodes	Cost
0	23	154
1	41	154
2	84	138
3	212	123
4	949	123
done	5001	123

prune41.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.5b

localize8.0ms

Local error

Found 1 expressions with local error:

1.5b	(fma (- y x) (/ z t) 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:

0.0ms

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

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify521.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (23.0ms)

Iter	Nodes	Cost
0	23	154
1	41	154
2	84	138
3	212	123
4	949	123
done	5001	123

prune45.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ z t) (- y x)) x)
5.8b	(* (/ z t) (- y x))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 98

Calls

2 calls:

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

series101.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* (/ z t) (- y x)) x)
64.0ms	(* (/ z t) (- y x))

simplify886.0ms

Counts

104 → 104

Iterations

Useful iterations: done (883.0ms)

Iter	Nodes	Cost
0	178	1645
1	460	1317
2	1395	1118
done	5000	1077

prune263.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (/ (- y x) (/ t z)) (* (/ z t) (- x x))) x)
0.7b	(* (/ z t) (- x x))
5.7b	(/ (- y x) (/ t z))

rewrite308.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 190

Calls

3 calls:

268.0ms	(+ (+ (/ (- y x) (/ t z)) (* (/ z t) (- x x))) x)
19.0ms	(* (/ z t) (- x x))
12.0ms	(/ (- y x) (/ t z))

series93.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ (+ (/ (- y x) (/ t z)) (* (/ z t) (- x x))) x)
1.0ms	(* (/ z t) (- x x))
54.0ms	(/ (- y x) (/ t z))

simplify1.4s

Counts

199 → 199

Iterations

Useful iterations: 2 (761.0ms)

Iter	Nodes	Cost
0	350	3194
1	952	2671
2	2748	2032
done	5001	2032

prune555.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes142.0ms

Accuracy

0% (2.1b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	12	8
done	12	8

end0.0ms

sample536.0ms

Algorithm

intervals

Results

280.0ms

10666×

body

valid