Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

355×

body

valid

simplify6.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (3.0ms)

Iter	Nodes	Cost
0	7	9
1	11	9
2	20	8
3	31	8
4	46	8
5	65	8
6	88	8
7	125	8
8	189	8
9	274	8
10	422	8
11	876	8
12	4651	8
done	5000	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (- z x) y x)
11.4b	(/ (fma (- z x) y x) z)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube`
3×	`associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 39

Calls

2 calls:

0.0ms	(fma (- z x) y x)
2.0ms	(/ (fma (- z x) y x) z)

series77.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(fma (- z x) y x)
42.0ms	(/ (fma (- z x) y x) z)

simplify1.5s

Counts

45 → 45

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	66	554
1	117	542
2	267	492
3	829	492
4	3075	492
done	5000	492

prune108.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.5b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x z) y)
0.0b	(- (+ (/ x z) y) (/ (* x y) z))
7.1b	(/ (* x y) z)

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

51×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
28×	`add-cube-cbrt` `prod-diff`
24×	`times-frac`
13×	`fma-def`
10×	`distribute-lft-out` `add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv`
4×	`fma-neg`
3×	`pow1` `expm1-log1p-u` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `flip3-+` `diff-log` `div-exp` `sum-log` `frac-sub` `flip-+` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3--` `frac-2neg` `prod-exp` `associate--l+` `clear-num` `flip--` `cbrt-unprod` `associate-/l*` `difference-of-squares`

Counts

3 → 103

Calls

3 calls:

12.0ms	(+ (/ x z) y)
81.0ms	(- (+ (/ x z) y) (/ (* x y) z))
3.0ms	(/ (* x y) z)

series69.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(+ (/ x z) y)
30.0ms	(- (+ (/ x z) y) (/ (* x y) z))
20.0ms	(/ (* x y) z)

simplify1.4s

Counts

112 → 112

Iterations

Useful iterations: 2 (185.0ms)

Iter	Nodes	Cost
0	154	2085
1	394	1744
2	1378	1457
done	5001	1457

prune215.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.5b	(cbrt z)
0.7b	(+ (- (/ y (cbrt z))) (/ y (cbrt z)))
2.7b	(* (/ y (cbrt z)) (/ x (* (cbrt z) (cbrt z))))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

168×	`times-frac`
144×	`*-un-lft-identity`
124×	`add-sqr-sqrt`
120×	`add-cube-cbrt`
87×	`cbrt-prod`
63×	`distribute-lft-neg-in`
48×	`fma-def`
44×	`distribute-rgt-neg-in`
41×	`distribute-rgt-out`
25×	`add-exp-log`
23×	`distribute-lft-out`
22×	`associate-l`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod` `div-inv` `add-log-exp`
7×	`cbrt-undiv` `div-exp` `associate-r`
6×	`pow1` `unswap-sqr`
5×	`neg-mul-1`
4×	`expm1-log1p-u` `distribute-lft1-in` `log1p-expm1-u`
2×	`pow1/3` `sum-log`
1×	`+-commutative` `neg-sub0` `frac-times` `associate-+l-` `flip3-+` `associate-r/` `pow-prod-down` `neg-log` `associate-l/` `frac-add` `*-commutative` `flip-+` `distribute-neg-frac`

Counts

4 → 219

Calls

4 calls:

0.0ms	(cbrt z)
1.0ms	(cbrt z)
78.0ms	(+ (- (/ y (cbrt z))) (/ y (cbrt z)))
23.0ms	(* (/ y (cbrt z)) (/ x (* (cbrt z) (cbrt z))))

series429.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt z)
186.0ms	(cbrt z)
2.0ms	(+ (- (/ y (cbrt z))) (/ y (cbrt z)))
51.0ms	(* (/ y (cbrt z)) (/ x (* (cbrt z) (cbrt z))))

simplify1.0s

Counts

231 → 231

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	265	2305
1	650	1951
2	2069	1473
done	5000	1439

prune783.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.5b	(cbrt z)
0.7b	(+ (- (/ y (cbrt z))) (/ y (cbrt z)))
2.5b	(* y (/ x z))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

150×	`times-frac`
137×	`*-un-lft-identity`
113×	`add-cube-cbrt`
106×	`add-sqr-sqrt`
76×	`cbrt-prod`
63×	`distribute-lft-neg-in`
48×	`fma-def`
44×	`distribute-rgt-neg-in`
41×	`distribute-rgt-out`
23×	`distribute-lft-out`
13×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`div-inv`
6×	`pow1`
5×	`neg-mul-1`
4×	`expm1-log1p-u` `distribute-lft1-in` `log1p-expm1-u`
3×	`associate-l`
2×	`pow1/3` `prod-exp` `sum-log` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `neg-sub0` `associate-+l-` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `neg-log` `frac-add` `-commutative` `flip-+` `distribute-neg-frac`

Counts

4 → 192

Calls

4 calls:

0.0ms	(cbrt z)
1.0ms	(cbrt z)
79.0ms	(+ (- (/ y (cbrt z))) (/ y (cbrt z)))
8.0ms	(* y (/ x z))

series410.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt z)
199.0ms	(cbrt z)
2.0ms	(+ (- (/ y (cbrt z))) (/ y (cbrt z)))
19.0ms	(* y (/ x z))

simplify1.5s

Counts

204 → 204

Iterations

Useful iterations: 3 (718.0ms)

Iter	Nodes	Cost
0	242	1586
1	514	1288
2	1136	1090
3	3245	571
done	5000	571

prune658.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes65.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	30
1	22	30
done	22	30

end0.0ms

sample440.0ms

Algorithm

intervals

Results

240.0ms

10129×

body

valid