Details

analyze2.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
100%	0%	0%	1

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample152.0ms (4.1%)

Algorithm

1×

intervals

Results

139.0ms	61×	body	1024	valid
4.0ms	147×	body	128	valid
2.0ms	33×	body	512	valid
1.0ms	12×	body	256	valid
0.0ms	3×	body	2048	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 26.6b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b	(cbrt.f64 (+.f64 x 1))
0.6b	(cbrt.f64 x)
1.6b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite17.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64`
16×	`*-un-lft-identity_binary64`
15×	`add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64`
6×	`cancel-sign-sub-inv_binary64`
5×	`add-log-exp_binary64`
4×	`difference-of-squares_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64`
2×	`cbrt-div_binary64` `distribute-lft-out_binary64` `pow1/3_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64` `flip-+_binary64`

Counts

3 → 49

Calls

3 calls:

10.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
3.0ms	(cbrt.f64 (+.f64 x 1))
1.0ms	(cbrt.f64 x)

series311.0ms (8.3%)

Counts

3 → 9

Calls

3 calls:

162.0ms	(cbrt.f64 x)
105.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
44.0ms	(cbrt.f64 (+.f64 x 1))

simplify71.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5323	758

prune109.0ms (2.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	53	5	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	6	59

Merged error: 0.2b

Counts

59 → 6

Compiler

Compiled 1505 to 1126 computations (25.2% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (+.f64 x 1))
0.6b	(cbrt.f64 x)
1.6b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
11.6b	(log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))

rewrite29.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`cbrt-prod_binary64`
25×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
10×	`log-prod_binary64`
9×	`add-cube-cbrt_binary64`
8×	`difference-of-squares_binary64`
6×	`add-log-exp_binary64` `cancel-sign-sub-inv_binary64` `distribute-lft-out--_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-cbrt-cube_binary64`
3×	`distribute-lft-out_binary64`
2×	`cbrt-div_binary64` `flip3--_binary64` `pow1/3_binary64` `log-div_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `rem-log-exp_binary64` `log-pow_binary64` `flip-+_binary64`

Counts

4 → 70

Calls

4 calls:

10.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
9.0ms	(log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
3.0ms	(cbrt.f64 (+.f64 x 1))
1.0ms	(cbrt.f64 x)

series501.0ms (13.3%)

Counts

4 → 12

Calls

4 calls:

196.0ms	(log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
167.0ms	(cbrt.f64 x)
98.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
40.0ms	(cbrt.f64 (+.f64 x 1))

simplify88.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4879	1368
1	4879	1368

prune92.0ms (2.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	81	7	88

Merged error: 0.2b

Counts

88 → 7

Compiler

Compiled 1516 to 1073 computations (29.2% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.6b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
11.6b	(log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
11.6b	(log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
11.6b	(log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))

rewrite50.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64`
37×	`*-un-lft-identity_binary64`
35×	`cbrt-prod_binary64`
30×	`log-prod_binary64`
16×	`difference-of-squares_binary64`
12×	`distribute-lft-out--_binary64`
9×	`add-cube-cbrt_binary64`
7×	`pow1_binary64` `add-exp-log_binary64`
6×	`add-log-exp_binary64` `cancel-sign-sub-inv_binary64` `log-div_binary64`
4×	`flip3--_binary64` `distribute-lft-out_binary64` `add-cbrt-cube_binary64` `flip--_binary64`
3×	`rem-log-exp_binary64` `log-pow_binary64`
1×	`sub-neg_binary64` `diff-log_binary64`

Counts

4 → 87

Calls

4 calls:

10.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
9.0ms	(log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
9.0ms	(log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
9.0ms	(log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))

series641.0ms (17%)

Counts

4 → 12

Calls

4 calls:

189.0ms	(log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
181.0ms	(log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
181.0ms	(log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
90.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

simplify111.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4869	2305
1	4869	2305

prune213.0ms (5.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	99	7	106

Merged error: 0.2b

Counts

106 → 7

Compiler

Compiled 3916 to 2736 computations (30.1% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (+.f64 x 1))
0.2b	(cbrt.f64 (+.f64 x 1))
0.6b	(cbrt.f64 x)
20.3b	(-.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))

rewrite37.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`cbrt-prod_binary64`
13×	`*-un-lft-identity_binary64`
9×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`add-log-exp_binary64` `cancel-sign-sub-inv_binary64`
4×	`cbrt-div_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow1/3_binary64`
2×	`flip3-+_binary64` `distribute-lft-out_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64`

Counts

4 → 56

Calls

4 calls:

24.0ms	(-.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
3.0ms	(cbrt.f64 (+.f64 x 1))
3.0ms	(cbrt.f64 (+.f64 x 1))
1.0ms	(cbrt.f64 x)

series355.0ms (9.4%)

Counts

4 → 12

Calls

4 calls:

147.0ms	(cbrt.f64 x)
119.0ms	(-.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
45.0ms	(cbrt.f64 (+.f64 x 1))
44.0ms	(cbrt.f64 (+.f64 x 1))

simplify76.0ms (2%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4851	802
1	4851	802

prune85.0ms (2.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	68	7	75

Merged error: 0.2b

Counts

75 → 7

Compiler

Compiled 1563 to 1169 computations (25.2% saved)

regimes58.0ms (1.6%)

Compiler: Compiled 328 to 267 computations (18.6% saved)

bsearch1.0ms (0%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	52
1	35	52

end0.0ms (0%)

sample709.0ms (18.8%)

Algorithm

1×

intervals

Results

195.0ms	1967×	body	1024	valid
108.0ms	4298×	body	128	valid
70.0ms	1024×	body	512	valid
28.0ms	206×	body	2048	valid
23.0ms	505×	body	256	valid

Compiler

Compiled 167 to 131 computations (21.6% saved)

Details

analyze2.0ms (0%)

sample152.0ms (4.1%)

simplify11.0ms (0.3%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite17.0ms (0.5%)

series311.0ms (8.3%)

simplify71.0ms (1.9%)

prune109.0ms (2.9%)

localize11.0ms (0.3%)

rewrite29.0ms (0.8%)

series501.0ms (13.3%)

simplify88.0ms (2.3%)

prune92.0ms (2.4%)

localize15.0ms (0.4%)

rewrite50.0ms (1.3%)

series641.0ms (17%)

simplify111.0ms (2.9%)

prune213.0ms (5.7%)

localize9.0ms (0.2%)

rewrite37.0ms (1%)

series355.0ms (9.4%)

simplify76.0ms (2%)

prune85.0ms (2.3%)

regimes58.0ms (1.6%)

bsearch1.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample709.0ms (18.8%)

Profiling