Details

analyze348.0ms (6.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	418	20
1	418	20
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
12.5%	87.4%	0.1%	4
31.2%	68.7%	0.1%	5
43.7%	56.2%	0.1%	6
56.2%	40.6%	3.2%	7
64%	29.7%	6.3%	8
71%	20.3%	8.7%	9
75.3%	15.2%	9.5%	10
79%	10.1%	10.8%	11
81.3%	7.7%	11%	12
83.2%	5%	11.8%	13
84.4%	3.8%	11.8%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample24.0ms (0.5%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify35.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	256	10
1	256	10

prune4.0ms (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 14 to 12 computations (14.3% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (+.f64 x 1) y)

rewrite15.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_6579` `*-un-lft-identity_binary64_6557`
4×	`associate-l_binary64_6498`
3×	`associate-r_binary64_6497` `add-cbrt-cube_binary64_6593` `add-cube-cbrt_binary64_6592` `pow1_binary64_6618` `add-exp-log_binary64_6595`
2×	`associate-*l/_binary64_6500`
1×	`flip-+_binary64_6531` `*-commutative_binary64_6488` `pow-prod-down_binary64_6628` `distribute-lft-out_binary64_6508` `unswap-sqr_binary64_6525` `prod-exp_binary64_6606` `flip3-+_binary64_6560` `add-log-exp_binary64_6596` `cbrt-unprod_binary64_6590`

Counts

1 → 21

Calls

1 calls:

13.0ms

(*.f64 (+.f64 x 1) y)

series96.0ms (1.9%)

Counts

1 → 9

Calls

1 calls:

96.0ms

(*.f64 (+.f64 x 1) y)

Compiler

Compiled 97 to 77 computations (20.6% saved)

simplify146.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (130.0ms)

Iter	Nodes	Cost
0	4965	253
1	4965	253

prune42.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	2	31

Error

0.0b

Counts

31 → 2

Compiler

Compiled 318 to 201 computations (36.8% saved)

localize17.0ms (0.3%)

Local error

Found 2 expressions with local error:

4.1b	(.f64 y (-.f64 (.f64 x x) 1))
9.5b	(/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1))

rewrite51.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_6579`
15×	`*-un-lft-identity_binary64_6557`
9×	`add-cbrt-cube_binary64_6593` `add-exp-log_binary64_6595`
8×	`add-cube-cbrt_binary64_6592`
7×	`associate-/r*_binary64_6501` `times-frac_binary64_6563`
6×	`associate-r_binary64_6497` `difference-of-squares_binary64_6526` `cancel-sign-sub-inv_binary64_6523`
4×	`distribute-lft-in_binary64_6506` `associate-*r/_binary64_6499` `pow1_binary64_6618` `distribute-rgt-in_binary64_6507`
3×	`flip--_binary64_6532` `difference-of-sqr-1_binary64_6527` `associate-l_binary64_6498` `flip3--_binary64_6561`
2×	`div-exp_binary64_6608` `sub-neg_binary64_6550` `prod-exp_binary64_6606` `distribute-lft-out--_binary64_6509` `cbrt-undiv_binary64_6591` `add-log-exp_binary64_6596` `cbrt-unprod_binary64_6590` `associate-/r/_binary64_6503` `associate-/l/_binary64_6504`
1×	`-commutative_binary64_6488` `pow-prod-down_binary64_6628` `unswap-sqr_binary64_6525` `div-inv_binary64_6554` `clear-num_binary64_6556` `frac-2neg_binary64_6568` `associate-/l_binary64_6502`

Counts

2 → 64

Calls

2 calls:

26.0ms	(/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1))
16.0ms	(.f64 y (-.f64 (.f64 x x) 1))

series419.0ms (8.2%)

Counts

2 → 18

Calls

2 calls:

260.0ms	(/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1))
159.0ms	(.f64 y (-.f64 (.f64 x x) 1))

Compiler

Compiled 320 to 259 computations (19.1% saved)

simplify105.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4955	991
1	4955	991

prune116.0ms (2.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	81	3	84

Error

Counts

84 → 3

Compiler

Compiled 1266 to 730 computations (42.3% saved)

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (-.f64 x 1))
0.2b	(*.f64 (cbrt.f64 (-.f64 x 1)) (cbrt.f64 (-.f64 x 1)))
1.7b	(/.f64 (-.f64 (*.f64 x x) 1) (cbrt.f64 (-.f64 x 1)))
11.1b	(.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 x 1)) (cbrt.f64 (-.f64 x 1)))) (/.f64 (-.f64 (*.f64 x x) 1) (cbrt.f64 (-.f64 x 1))))

rewrite215.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Rules

184×	`add-sqr-sqrt_binary64_6579`
146×	`*-un-lft-identity_binary64_6557`
140×	`cbrt-prod_binary64_6588`
130×	`times-frac_binary64_6563`
80×	`difference-of-squares_binary64_6526`
76×	`associate-r_binary64_6497`
63×	`add-cube-cbrt_binary64_6592`
41×	`difference-of-sqr-1_binary64_6527`
30×	`cbrt-div_binary64_6589`
29×	`add-exp-log_binary64_6595`
25×	`associate-l_binary64_6498`
20×	`distribute-lft-out--_binary64_6509`
19×	`add-cbrt-cube_binary64_6593`
16×	`flip--_binary64_6532` `flip3--_binary64_6561`
14×	`swap-sqr_binary64_6524`
13×	`pow1_binary64_6618`
12×	`associate-/r/_binary64_6503`
10×	`associate-/r*_binary64_6501` `unswap-sqr_binary64_6525`
9×	`frac-times_binary64_6567` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590`
8×	`div-exp_binary64_6608` `cbrt-undiv_binary64_6591`
7×	`pow1/3_binary64_6639`
6×	`associate-/l*_binary64_6502`
5×	`associate-l/_binary64_6500` `associate-r/_binary64_6499`
4×	`add-log-exp_binary64_6596`
3×	`pow-prod-down_binary64_6628` `div-inv_binary64_6554`
2×	`*-commutative_binary64_6488` `pow-sqr_binary64_6530` `pow-prod-up_binary64_6627` `associate-/l/_binary64_6504`
1×	`div-sub_binary64_6562` `clear-num_binary64_6556` `frac-2neg_binary64_6568` `pow-plus_binary64_6620` `pow2_binary64_6638`

Counts

4 → 285

Calls

4 calls:

86.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 x 1)) (cbrt.f64 (-.f64 x 1)))) (/.f64 (-.f64 (*.f64 x x) 1) (cbrt.f64 (-.f64 x 1))))
30.0ms	(*.f64 (cbrt.f64 (-.f64 x 1)) (cbrt.f64 (-.f64 x 1)))
22.0ms	(/.f64 (-.f64 (*.f64 x x) 1) (cbrt.f64 (-.f64 x 1)))
6.0ms	(cbrt.f64 (-.f64 x 1))

series696.0ms (13.7%)

Counts

4 → 34

Calls

4 calls:

345.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 x 1)) (cbrt.f64 (-.f64 x 1)))) (/.f64 (-.f64 (*.f64 x x) 1) (cbrt.f64 (-.f64 x 1))))
154.0ms	(*.f64 (cbrt.f64 (-.f64 x 1)) (cbrt.f64 (-.f64 x 1)))
102.0ms	(cbrt.f64 (-.f64 x 1))
93.0ms	(/.f64 (-.f64 (*.f64 x x) 1) (cbrt.f64 (-.f64 x 1)))

Compiler

Compiled 1141 to 970 computations (15% saved)

simplify310.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

319 → 319

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4928	7762
1	4928	7762

prune1.5s (28.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	319	0	319
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	319	3	322

Error

Counts

322 → 3

Compiler

Compiled 9797 to 6779 computations (30.8% saved)

regimes90.0ms (1.8%)

Accuracy

Total 0.0b remaining (63.9%)

Threshold costs 0.0b (63.9%)

Compiler

Compiled 315 to 254 computations (19.4% saved)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	10
1	18	10

end0.0ms (0%)

sample864.0ms (17%)

Algorithm

1×

intervals

Results

366.0ms	7997×	body	128	valid
3.0ms	72×	body	128	invalid
0.0ms	3×	body	512	valid

Compiler

Compiled 114 to 92 computations (19.3% saved)

Details

analyze348.0ms (6.9%)

sample24.0ms (0.5%)

simplify35.0ms (0.7%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

rewrite15.0ms (0.3%)

series96.0ms (1.9%)

simplify146.0ms (2.9%)

prune42.0ms (0.8%)

localize17.0ms (0.3%)

rewrite51.0ms (1%)

series419.0ms (8.2%)

simplify105.0ms (2.1%)

prune116.0ms (2.3%)

localize22.0ms (0.4%)

rewrite215.0ms (4.2%)

series696.0ms (13.7%)

simplify310.0ms (6.1%)

prune1.5s (28.6%)

regimes90.0ms (1.8%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample864.0ms (17%)

Profiling