Details

analyze1.0ms (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)

sample18.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms	62×	body	1024	valid
4.0ms	141×	body	128	valid
2.0ms	28×	body	512	valid
1.0ms	7×	body	2048	valid
1.0ms	18×	body	256	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify177.0ms (5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

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: 28.6b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1))
0.6b	(cbrt.f64 x)
2.4b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite18.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64_454`
16×	`*-un-lft-identity_binary64_423`
15×	`add-sqr-sqrt_binary64_445`
7×	`add-cube-cbrt_binary64_458`
6×	`cancel-sign-sub-inv_binary64_389`
5×	`add-log-exp_binary64_462`
4×	`difference-of-squares_binary64_392`
3×	`pow1_binary64_484` `distribute-lft-out--_binary64_375` `add-exp-log_binary64_461` `add-cbrt-cube_binary64_459`
2×	`cbrt-div_binary64_455` `distribute-lft-out_binary64_374` `pow1/3_binary64_505`
1×	`sub-neg_binary64_416` `flip-+_binary64_397` `diff-log_binary64_515` `flip3--_binary64_427` `flip3-+_binary64_426` `flip--_binary64_398`

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)

series309.0ms (8.7%)

Counts

3 → 9

Calls

3 calls:

161.0ms	(cbrt.f64 x)
104.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
45.0ms	(cbrt.f64 (+.f64 x 1))

simplify72.0ms (2%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5137	758

prune180.0ms (5%)

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: 0.3b

Counts

59 → 6

Compiler

Compiled 2341 to 1825 computations (22% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1))
0.6b	(cbrt.f64 x)
2.4b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
9.3b	(log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))

rewrite30.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`cbrt-prod_binary64_454`
25×	`*-un-lft-identity_binary64_423` `add-sqr-sqrt_binary64_445`
10×	`log-prod_binary64_509`
9×	`add-cube-cbrt_binary64_458`
8×	`difference-of-squares_binary64_392`
6×	`cancel-sign-sub-inv_binary64_389` `distribute-lft-out--_binary64_375` `add-log-exp_binary64_462`
5×	`pow1_binary64_484` `add-exp-log_binary64_461`
4×	`add-cbrt-cube_binary64_459`
3×	`distribute-lft-out_binary64_374`
2×	`cbrt-div_binary64_455` `pow1/3_binary64_505` `flip3--_binary64_427` `log-div_binary64_510` `flip--_binary64_398`
1×	`sub-neg_binary64_416` `flip-+_binary64_397` `diff-log_binary64_515` `log-pow_binary64_512` `flip3-+_binary64_426` `rem-log-exp_binary64_464`

Counts

4 → 70

Calls

4 calls:

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

series490.0ms (13.7%)

Counts

4 → 12

Calls

4 calls:

188.0ms	(log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
161.0ms	(cbrt.f64 x)
98.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
42.0ms	(cbrt.f64 (+.f64 x 1))

simplify125.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4858	1368
1	4858	1368

prune111.0ms (3.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	80	8	88

Merged error: 0.3b

Counts

88 → 8

Compiler

Compiled 1804 to 1311 computations (27.3% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1))
0.3b	(cbrt.f64 (+.f64 x 1))
0.6b	(cbrt.f64 x)
9.5b	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))

rewrite31.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`cbrt-prod_binary64_454`
13×	`*-un-lft-identity_binary64_423`
9×	`add-cube-cbrt_binary64_458` `add-sqr-sqrt_binary64_445`
6×	`cancel-sign-sub-inv_binary64_389` `add-log-exp_binary64_462`
4×	`cbrt-div_binary64_455` `pow1_binary64_484` `add-exp-log_binary64_461` `add-cbrt-cube_binary64_459`
3×	`pow1/3_binary64_505`
2×	`flip-+_binary64_397` `distribute-lft-out_binary64_374` `flip3-+_binary64_426`
1×	`sub-neg_binary64_416` `diff-log_binary64_515` `flip3--_binary64_427` `flip--_binary64_398`

Counts

4 → 56

Calls

4 calls:

16.0ms	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x 1)) (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)

series362.0ms (10.1%)

Counts

4 → 12

Calls

4 calls:

163.0ms	(cbrt.f64 x)
117.0ms	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
42.0ms	(cbrt.f64 (+.f64 x 1))
39.0ms	(cbrt.f64 (+.f64 x 1))

simplify91.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4844	810
1	4844	810

prune132.0ms (3.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	68	8	76

Merged error: 0.3b

Counts

76 → 8

Compiler

Compiled 1605 to 1190 computations (25.9% saved)

localize19.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 x (-.f64 1/3 (.f64 x 1/9)))
0.4b	(*.f64 x 1/9)
0.6b	(cbrt.f64 x)
9.3b	(log.f64 (+.f64 1 (-.f64 (.f64 x (-.f64 1/3 (.f64 x 1/9))) (cbrt.f64 x))))

rewrite39.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_445`
12×	`*-un-lft-identity_binary64_423`
10×	`add-cube-cbrt_binary64_458`
9×	`pow1_binary64_484` `add-exp-log_binary64_461`
8×	`add-cbrt-cube_binary64_459`
6×	`associate-l_binary64_364` `associate-r_binary64_363`
4×	`add-log-exp_binary64_462` `log-prod_binary64_509`
3×	`cbrt-prod_binary64_454`
2×	`pow-prod-down_binary64_494` `distribute-rgt-in_binary64_373` `sub-neg_binary64_416` `distribute-lft-in_binary64_372` `cancel-sign-sub-inv_binary64_389` `prod-exp_binary64_472` `associate-r/_binary64_365` `-commutative_binary64_354` `log-div_binary64_510` `unswap-sqr_binary64_391` `cbrt-unprod_binary64_456`
1×	`flip-+_binary64_397` `distribute-lft-out_binary64_374` `pow1/3_binary64_505` `flip3--_binary64_427` `log-pow_binary64_512` `flip3-+_binary64_426` `rem-log-exp_binary64_464` `flip--_binary64_398`

Counts

4 → 68

Calls

4 calls:

12.0ms	(log.f64 (+.f64 1 (-.f64 (.f64 x (-.f64 1/3 (.f64 x 1/9))) (cbrt.f64 x))))
10.0ms	(.f64 x (-.f64 1/3 (.f64 x 1/9)))
7.0ms	(*.f64 x 1/9)
2.0ms	(cbrt.f64 x)

series393.0ms (11%)

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt.f64 x)
119.0ms	(log.f64 (+.f64 1 (-.f64 (.f64 x (-.f64 1/3 (.f64 x 1/9))) (cbrt.f64 x))))
84.0ms	(.f64 x (-.f64 1/3 (.f64 x 1/9)))
22.0ms	(*.f64 x 1/9)

simplify65.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5102	1131

prune85.0ms (2.4%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	80	8	88

Merged error: 0.3b

Counts

88 → 8

Compiler

Compiled 1561 to 1143 computations (26.8% saved)

regimes59.0ms (1.7%)

Compiler: Compiled 306 to 248 computations (19% saved)

bsearch1.0ms (0%)

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

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	52
1	35	52

end0.0ms (0%)

sample730.0ms (20.5%)

Algorithm

1×

intervals

Results

196.0ms	1954×	body	1024	valid
113.0ms	4252×	body	128	valid
76.0ms	1022×	body	512	valid
32.0ms	247×	body	2048	valid
25.0ms	525×	body	256	valid

Compiler

Compiled 171 to 133 computations (22.2% saved)

Details

analyze1.0ms (0%)

sample18.0ms (0.5%)

simplify177.0ms (5%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite18.0ms (0.5%)

series309.0ms (8.7%)

simplify72.0ms (2%)

prune180.0ms (5%)

localize9.0ms (0.3%)

rewrite30.0ms (0.8%)

series490.0ms (13.7%)

simplify125.0ms (3.5%)

prune111.0ms (3.1%)

localize11.0ms (0.3%)

rewrite31.0ms (0.9%)

series362.0ms (10.1%)

simplify91.0ms (2.5%)

prune132.0ms (3.7%)

localize19.0ms (0.5%)

rewrite39.0ms (1.1%)

series393.0ms (11%)

simplify65.0ms (1.8%)

prune85.0ms (2.4%)

regimes59.0ms (1.7%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample730.0ms (20.5%)

Profiling