Details

sample23.0ms

Algorithm

intervals

Results

7.0ms	53×	body	1280	valid
4.0ms	137×	body	80	valid
3.0ms	33×	body	320	valid
3.0ms	25×	body	640	valid
0.0ms	8×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	10	7
done	10	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.5b

localize13.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
2.9b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

64×	`cbrt-prod`
56×	`*-un-lft-identity`
42×	`prod-diff`
41×	`add-sqr-sqrt`
33×	`add-cube-cbrt`
9×	`distribute-lft-out`
7×	`fma-neg`
5×	`add-log-exp`
4×	`difference-of-squares`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out--`
2×	`cbrt-div` `pow1/3`
1×	`sub-neg` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+`

Counts

3 → 99

Calls

3 calls:

4.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)
95.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series640.0ms

Counts

3 → 9

Calls

3 calls:

133.0ms	(cbrt (+ x 1.0))
264.0ms	(cbrt x)
242.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify2.4s

Counts

108 → 108

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	194	2160
1	433	1776
2	994	1468
3	2999	1265
done	5000	1254

prune351.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 6.9b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
2.7b	(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
2.9b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

117×	`cbrt-prod`
104×	`*-un-lft-identity`
84×	`prod-diff`
78×	`add-sqr-sqrt`
62×	`add-cube-cbrt`
47×	`log-prod`
44×	`exp-sum`
16×	`distribute-lft-out`
11×	`log-pow`
10×	`exp-prod`
8×	`difference-of-squares`
7×	`fma-neg`
6×	`distribute-lft-out--` `add-log-exp`
5×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
2×	`sub-neg` `cbrt-div` `pow1/3`
1×	`log-div` `flip3--` `flip3-+` `exp-diff` `diff-log` `rem-log-exp` `flip--` `flip-+`

Counts

4 → 168

Calls

4 calls:

4.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)
117.0ms	(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
80.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series952.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(cbrt (+ x 1.0))
340.0ms	(cbrt x)
218.0ms	(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
229.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify2.5s

Counts

180 → 180

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	315	4214
1	567	3263
2	1179	2644
3	3321	2271
done	5000	2267

prune671.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 6.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
10.0b	(- (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
13×	`*-un-lft-identity`
9×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`prod-diff` `add-log-exp`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `cbrt-div` `add-cbrt-cube` `log1p-expm1-u`
3×	`pow1/3`
2×	`flip3-+` `flip-+` `distribute-lft-out`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `flip--`

Counts

4 → 66

Calls

4 calls:

8.0ms	(cbrt (+ x 1.0))
8.0ms	(cbrt (+ x 1.0))
2.0ms	(cbrt x)
52.0ms	(- (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

series758.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(cbrt (+ x 1.0))
162.0ms	(cbrt (+ x 1.0))
256.0ms	(cbrt x)
204.0ms	(- (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

simplify2.5s

Counts

78 → 78

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	159	1302
1	371	1190
2	968	1088
3	3018	922
done	5001	906

prune471.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 6.9b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
20.9b	(- (* (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
13×	`*-un-lft-identity`
9×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`prod-diff` `add-log-exp`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `cbrt-div` `add-cbrt-cube` `log1p-expm1-u`
3×	`pow1/3`
2×	`flip3-+` `flip-+` `distribute-lft-out`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `flip--`

Counts

4 → 66

Calls

4 calls:

5.0ms	(cbrt (+ x 1.0))
8.0ms	(cbrt (+ x 1.0))
2.0ms	(cbrt x)
114.0ms	(- (* (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

series1.1s

Counts

4 → 12

Calls

4 calls:

123.0ms	(cbrt (+ x 1.0))
108.0ms	(cbrt (+ x 1.0))
680.0ms	(cbrt x)
205.0ms	(- (* (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

simplify2.4s

Counts

78 → 78

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	159	1328
1	371	1216
2	961	814
3	3055	696
done	5000	692

prune325.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 6.9b

Details

sample23.0ms

simplify5.0ms

prune3.0ms

localize13.0ms

rewrite104.0ms

series640.0ms

simplify2.4s

prune351.0ms

localize22.0ms

rewrite211.0ms

series952.0ms

simplify2.5s

prune671.0ms

localize16.0ms

rewrite73.0ms

series758.0ms

simplify2.5s

prune471.0ms

localize21.0ms

rewrite130.0ms

series1.1s

simplify2.4s

prune325.0ms

regimes64.0ms

bsearch1.0ms