Details

analyze4.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample14.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify106.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite148.0ms (6.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

67×	`*-un-lft-identity_binary64_2465`
41×	`times-frac_binary64_2471`
40×	`add-sqr-sqrt_binary64_2487`
24×	`add-cube-cbrt_binary64_2500`
12×	`distribute-lft-out_binary64_2416`
11×	`associate-/r*_binary64_2409`
9×	`add-exp-log_binary64_2503`
8×	`difference-of-squares_binary64_2434`
7×	`add-cbrt-cube_binary64_2501`
6×	`distribute-lft-out--_binary64_2417` `associate-/l*_binary64_2410`
5×	`add-log-exp_binary64_2504`
4×	`pow1_binary64_2526` `associate-/r/_binary64_2411` `difference-of-sqr-1_binary64_2435`
3×	`div-inv_binary64_2462` `div-exp_binary64_2516`
2×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `clear-num_binary64_2464`
1×	`sum-log_binary64_2556` `frac-add_binary64_2473` `+-commutative_binary64_2395` `inv-pow_binary64_2550` `pow-flip_binary64_2539` `1-exp_binary64_2509` `rec-exp_binary64_2515` `flip3--_binary64_2469` `flip--_binary64_2440`

Counts

3 → 100

Calls

3 calls:

29.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
9.0ms	(/.f64 1 (-.f64 x 1))
5.0ms	(/.f64 x (+.f64 x 1))

Compiler

Compiled 1870 to 1402 computations (25% saved)

series113.0ms (4.9%)

Error

Counts

3 → 26

Calls

3 calls:

45.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
28.0ms	(/.f64 x (+.f64 x 1))
18.0ms	(/.f64 1 (-.f64 x 1))

Compiler

Compiled 686 to 573 computations (16.5% saved)

simplify77.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5003	1641

prune117.0ms (5.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	125	2	127

Error

Counts

127 → 2

Compiler

Compiled 1997 to 1456 computations (27.1% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 x (+.f64 x 1))
0.0b	(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 x 1))) 3))
0.0b	(+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 x 1)))
0.0b	(pow.f64 (+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 x 1))) 3)

rewrite261.0ms (11.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

142×	`*-un-lft-identity_binary64_2465`
54×	`distribute-lft-out_binary64_2416`
52×	`times-frac_binary64_2471`
24×	`cbrt-prod_binary64_2496`
19×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
18×	`unpow-prod-down_binary64_2544` `cube-prod_binary64_2493`
7×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
6×	`div-inv_binary64_2462` `add-log-exp_binary64_2504` `cube-div_binary64_2494`
5×	`pow1_binary64_2526`
4×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `associate-/r*_binary64_2409`
3×	`pow-unpow_binary64_2542` `frac-add_binary64_2473` `cbrt-div_binary64_2497` `associate-/l*_binary64_2410`
2×	`unpow3_binary64_2531` `cube-mult_binary64_2495` `sqr-pow_binary64_2437` `associate-/r/_binary64_2411`
1×	`pow-pow_binary64_2537` `pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `rem-cube-cbrt_binary64_2488` `sum-log_binary64_2556` `+-commutative_binary64_2395` `pow1/3_binary64_2547` `rem-cbrt-cube_binary64_2489` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `clear-num_binary64_2464`

Counts

4 → 125

Calls

4 calls:

27.0ms	(pow.f64 (+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 x 1))) 3)
24.0ms	(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 x 1))) 3))
22.0ms	(+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 x 1)))
5.0ms	(/.f64 x (+.f64 x 1))

Compiler

Compiled 3050 to 2424 computations (20.5% saved)

series209.0ms (9.2%)

Error

Counts

4 → 34

Calls

4 calls:

60.0ms	(pow.f64 (+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 x 1))) 3)
51.0ms	(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 x 1))) 3))
38.0ms	(+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 x 1)))
35.0ms	(/.f64 x (+.f64 x 1))

Compiler

Compiled 924 to 847 computations (8.3% saved)

simplify75.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5102	2904

prune162.0ms (7.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	159	2	161

Error

Counts

161 → 2

Compiler

Compiled 2871 to 2206 computations (23.2% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

16.5b

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

rewrite38.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `times-frac_binary64_2471` `*-un-lft-identity_binary64_2465`
3×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `associate-/l_binary64_2410` `associate-/r_binary64_2409`
2×	`flip3-+_binary64_2468` `associate-/l/_binary64_2412` `flip-+_binary64_2439` `associate-/r/_binary64_2411`
1×	`pow1_binary64_2526` `div-exp_binary64_2516` `add-log-exp_binary64_2504` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462`

Counts

1 → 31

Calls

1 calls:

7.0ms

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

Compiler

Compiled 717 to 386 computations (46.2% saved)

series47.0ms (2.1%)

Error

Counts

1 → 8

Calls

1 calls:

42.0ms

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

Compiler

Compiled 160 to 151 computations (5.6% saved)

simplify70.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5455	828

prune32.0ms (1.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	39	2	41

Error

Counts

41 → 2

Compiler

Compiled 694 to 383 computations (44.8% saved)

regimes53.0ms (2.3%)

Accuracy

Total 0.0b remaining (100%)

Threshold costs 0.0b (100%)

Compiler

Compiled 498 to 422 computations (15.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	54
1	24	54

end0.0ms (0%)

sample725.0ms (31.9%)

Algorithm

1×

intervals

Results

238.0ms

8000×

body

128

valid

Compiler

Compiled 285 to 240 computations (15.8% saved)

Details

analyze4.0ms (0.2%)

sample14.0ms (0.6%)

simplify106.0ms (4.7%)

prune2.0ms (0.1%)

localize6.0ms (0.3%)

rewrite148.0ms (6.5%)

series113.0ms (4.9%)

simplify77.0ms (3.4%)

prune117.0ms (5.1%)

localize9.0ms (0.4%)

rewrite261.0ms (11.5%)

series209.0ms (9.2%)

simplify75.0ms (3.3%)

prune162.0ms (7.1%)

localize5.0ms (0.2%)

rewrite38.0ms (1.7%)

series47.0ms (2.1%)

simplify70.0ms (3.1%)

prune32.0ms (1.4%)

regimes53.0ms (2.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample725.0ms (31.9%)

Profiling