Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

320×

body

valid

simplify207.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	19	7
3	28	7
4	39	7
5	44	7
6	49	7
7	58	7
8	75	7
9	91	7
10	102	7
11	104	7
12	108	7
13	109	7
done	109	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
21×	`add-sqr-sqrt`
15×	`times-frac`
13×	`add-cube-cbrt`
5×	`associate-/l*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`fma-def` `associate-/r*`
2×	`pow1` `expm1-log1p-u` `div-sub` `log1p-expm1-u` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `sum-log` `flip--` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 58

Calls

2 calls:

34.0ms	(/ (- y x) z)
44.0ms	(+ x (/ (- y x) z))

series81.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ (- y x) z)
50.0ms	(+ x (/ (- y x) z))

simplify1.6s

Counts

64 → 64

Iterations

Useful iterations: 2 (106.0ms)

Iter	Nodes	Cost
0	98	616
1	231	570
2	611	546
3	2182	546
done	5002	546

prune137.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ z (- y x))
0.0b	(+ x (/ 1 (/ z (- y x))))
0.5b	(/ 1 (/ z (- y x)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
107×	`*-un-lft-identity`
104×	`add-sqr-sqrt`
72×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`add-exp-log` `distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp`
7×	`div-inv`
6×	`associate-/l*`
5×	`flip3--` `flip--` `add-log-exp`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `inv-pow`

Counts

3 → 167

Calls

3 calls:

14.0ms	(/ z (- y x))
43.0ms	(+ x (/ 1 (/ z (- y x))))
19.0ms	(/ 1 (/ z (- y x)))

series103.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ z (- y x))
24.0ms	(+ x (/ 1 (/ z (- y x))))
37.0ms	(/ 1 (/ z (- y x)))

simplify2.5s

Counts

176 → 176

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	230	2358
1	493	1987
2	1064	1752
3	3338	1700
done	5000	1700

prune310.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.7b	(cbrt x)
0.7b	(cbrt x)
0.7b	(cbrt x)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

18.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.0s

Counts

4 → 12

Calls

4 calls:

349.0ms	(* (cbrt x) (cbrt x))
235.0ms	(cbrt x)
207.0ms	(cbrt x)
226.0ms	(cbrt x)

simplify5.1s

Counts

93 → 93

Iterations

Useful iterations: done (5.1s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune304.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (/ (- y x) z)) (cbrt (/ (- y x) z)))
2.9b	(cbrt (/ (- y x) z))
2.9b	(cbrt (/ (- y x) z))
2.9b	(cbrt (/ (- y x) z))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

157×	`cbrt-prod`
141×	`add-sqr-sqrt`
135×	`*-un-lft-identity`
123×	`times-frac`
75×	`add-cube-cbrt`
28×	`swap-sqr`
27×	`distribute-lft-out--`
22×	`associate-r` `associate-l`
21×	`difference-of-squares`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 194

Calls

4 calls:

69.0ms	(* (cbrt (/ (- y x) z)) (cbrt (/ (- y x) z)))
12.0ms	(cbrt (/ (- y x) z))
10.0ms	(cbrt (/ (- y x) z))
11.0ms	(cbrt (/ (- y x) z))

series801.0ms

Counts

4 → 12

Calls

4 calls:

233.0ms	(* (cbrt (/ (- y x) z)) (cbrt (/ (- y x) z)))
175.0ms	(cbrt (/ (- y x) z))
168.0ms	(cbrt (/ (- y x) z))
225.0ms	(cbrt (/ (- y x) z))

simplify2.2s

Counts

206 → 206

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	236	3540
1	442	3333
2	1128	3233
3	2548	3071
done	5000	2987

prune923.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes75.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample946.0ms

Algorithm

intervals

Results

482.0ms

9993×

body

valid