Details

analyze2.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
87.5%	12.5%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample9.0ms (0.7%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

128

valid

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify98.0ms (7.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	46	7
1	46	7

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 x (-.f64 1 x))
0.0b	(/.f64 x (-.f64 1 x))

rewrite10.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`*-un-lft-identity_binary64_3829` `add-sqr-sqrt_binary64_3851`
18×	`times-frac_binary64_3835`
12×	`add-cube-cbrt_binary64_3864`
8×	`difference-of-squares_binary64_3798`
6×	`associate-/r*_binary64_3773`
4×	`distribute-lft-out--_binary64_3781`
3×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `associate-/l*_binary64_3774`
2×	`associate-/r/_binary64_3775`
1×	`add-log-exp_binary64_3868` `div-inv_binary64_3826` `div-exp_binary64_3880` `flip--_binary64_3804` `flip3--_binary64_3833` `clear-num_binary64_3828` `pow1_binary64_3890` `cbrt-undiv_binary64_3863` `frac-2neg_binary64_3840`

Counts

1 → 41

Calls

2 calls:

6.0ms	(/.f64 x (-.f64 1 x))
0.0ms	(/.f64 x (-.f64 1 x))

series30.0ms (2.3%)

Counts

1 → 12

Calls

1 calls:

30.0ms

(/.f64 x (-.f64 1 x))

Compiler

Compiled 102 to 92 computations (9.8% saved)

simplify96.0ms (7.3%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4849	704
1	4849	704

prune45.0ms (3.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	2	54

Error

Counts

54 → 2

Compiler

Compiled 581 to 352 computations (39.4% saved)

localize8.0ms (0.6%)

Local error

Found 8 expressions with local error:

0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)
0.3b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (-.f64 1 x)))
0.2b	(/.f64 (cbrt.f64 x) (-.f64 1 x))
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)
0.6b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))

rewrite15.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3860`
23×	`add-sqr-sqrt_binary64_3851`
15×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
11×	`pow1_binary64_3890`
9×	`pow1/3_binary64_3911`
6×	`add-exp-log_binary64_3867` `swap-sqr_binary64_3796` `associate-r_binary64_3769` `associate-l_binary64_3770`
4×	`add-log-exp_binary64_3868` `unswap-sqr_binary64_3797` `add-cbrt-cube_binary64_3865`
2×	`pow-prod-down_binary64_3900` `pow-prod-up_binary64_3899` `pow-sqr_binary64_3802`
1×	`prod-exp_binary64_3878` `*-commutative_binary64_3760` `pow-plus_binary64_3892` `cbrt-unprod_binary64_3862` `pow2_binary64_3910`

Counts

4 → 73

Calls

8 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
0.0ms	(/.f64 (cbrt.f64 x) (-.f64 1 x))

series309.0ms (23.5%)

Counts

4 → 12

Calls

4 calls:

96.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
74.0ms	(cbrt.f64 x)
71.0ms	(cbrt.f64 x)
67.0ms	(cbrt.f64 x)

Compiler

Compiled 346 to 262 computations (24.3% saved)

simplify78.0ms (6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune58.0ms (4.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	85	2	87

Error

Counts

87 → 2

Compiler

Compiled 1233 to 554 computations (55.1% saved)

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	70	118
1	70	118

regimes32.0ms (2.4%)

Compiler: Compiled 174 to 130 computations (25.3% saved)

bsearch0.0ms (0%)

regimes21.0ms (1.6%)

Compiler: Compiled 6 to 9 computations (-50% saved)

bsearch22.0ms (1.7%)

Steps

Iters	Range		Point
10	5.756132414546603e-11	3027.709770242239	0.9960715189560951
11	-1.0683684742596149e+24	-0.007102553974907408	-1.014489998475607

Compiler

Compiled 1 to 1 computations (0% saved)

regimes9.0ms (0.6%)

Compiler: Compiled 5 to 8 computations (-60% saved)

bsearch0.0ms (0%)

regimes9.0ms (0.7%)

Accuracy

Total 0.0b remaining (93.9%)

Threshold costs 0.0b (93.9%)

Compiler

Compiled 4 to 6 computations (-50% saved)

bsearch3.0ms (0.2%)

Compiler: Compiled 19 to 19 computations (0% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	25
1	25	25

end0.0ms (0%)

sample446.0ms (34%)

Algorithm

1×

intervals

Results

144.0ms

8000×

body

128

valid

Compiler

Compiled 106 to 85 computations (19.8% saved)

Pareto

0.5891755992007479

Details

analyze2.0ms (0.2%)

sample9.0ms (0.7%)

simplify98.0ms (7.5%)

prune2.0ms (0.1%)

localize4.0ms (0.3%)

rewrite10.0ms (0.7%)

series30.0ms (2.3%)

simplify96.0ms (7.3%)

prune45.0ms (3.5%)

localize8.0ms (0.6%)

rewrite15.0ms (1.1%)

series309.0ms (23.5%)

simplify78.0ms (6%)

prune58.0ms (4.4%)

simplify4.0ms (0.3%)

regimes32.0ms (2.4%)

bsearch0.0ms (0%)

regimes21.0ms (1.6%)

bsearch22.0ms (1.7%)

regimes9.0ms (0.6%)

bsearch0.0ms (0%)

regimes9.0ms (0.7%)

bsearch3.0ms (0.2%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample446.0ms (34%)

Profiling