Details

analyze397.0ms (5.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5020	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
54.6%	42.1%	3.2%	7
63.2%	30.4%	6.3%	8
69.9%	21.5%	8.7%	9
75.3%	15.2%	9.5%	10
79%	10.1%	10.8%	11
82%	7%	11%	12
83.9%	4.4%	11.8%	13
84.7%	3.5%	11.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample23.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms	200×	body	128	valid
2.0ms	21×	body	1024	valid
2.0ms	21×	body	512	valid
1.0ms	14×	body	256	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 19 to 19 computations (0% saved)

simplify244.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (239.0ms)

Iter	Nodes	Cost
0	5075	10

prune7.0ms (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 → 2

Compiler

Compiled 23 to 20 computations (13% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite30.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-log-exp_binary64_15121`
4×	`associate-+l+_binary64_15015`
3×	`cancel-sign-sub-inv_binary64_15048`
2×	`sum-log_binary64_15173` `add-cube-cbrt_binary64_15117` `add-sqr-sqrt_binary64_15104` `*-un-lft-identity_binary64_15082`
1×	`diff-log_binary64_15174` `pow1_binary64_15143` `add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118` `flip3-+_binary64_15085` `flip-+_binary64_15056` `associate-+l-_binary64_15017` `sub-neg_binary64_15075` `+-commutative_binary64_15012`

Counts

1 → 17

Calls

1 calls:

14.0ms

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

Compiler

Compiled 241 to 128 computations (46.9% saved)

series88.0ms (1.1%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

74.0ms

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

Compiler

Compiled 170 to 129 computations (24.1% saved)

simplify70.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4972	321
1	4972	321

prune27.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	28	1	29
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	28	3	31

Error

0.0b

Counts

31 → 3

Compiler

Compiled 300 to 153 computations (49% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (cbrt.f64 (-.f64 (+.f64 1 (.f64 x y)) y)) (cbrt.f64 (-.f64 (+.f64 1 (*.f64 x y)) y)))
0.3b	(cbrt.f64 (-.f64 (+.f64 1 (*.f64 x y)) y))
0.3b	(cbrt.f64 (-.f64 (+.f64 1 (*.f64 x y)) y))
0.3b	(cbrt.f64 (-.f64 (+.f64 1 (*.f64 x y)) y))

rewrite240.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

43×	`cbrt-prod_binary64_15113`
37×	`add-sqr-sqrt_binary64_15104`
35×	`*-un-lft-identity_binary64_15082`
18×	`cbrt-div_binary64_15114`
15×	`add-cube-cbrt_binary64_15117`
11×	`pow1_binary64_15143`
10×	`swap-sqr_binary64_15049`
9×	`pow1/3_binary64_15164` `flip3--_binary64_15086` `flip--_binary64_15057` `distribute-lft-out--_binary64_15034`
8×	`associate-l_binary64_15023` `associate-r_binary64_15022`
7×	`difference-of-squares_binary64_15051`
6×	`add-exp-log_binary64_15120`
4×	`add-log-exp_binary64_15121` `add-cbrt-cube_binary64_15118` `frac-times_binary64_15092` `unswap-sqr_binary64_15050`
2×	`pow-prod-down_binary64_15153` `pow-prod-up_binary64_15152` `pow-sqr_binary64_15055` `associate-l/_binary64_15025` `associate-r/_binary64_15024`
1×	`pow2_binary64_15163` `pow-plus_binary64_15145` `prod-exp_binary64_15131` `cbrt-unprod_binary64_15115` `*-commutative_binary64_15013`

Counts

4 → 101

Calls

4 calls:

23.0ms	(.f64 (cbrt.f64 (-.f64 (+.f64 1 (.f64 x y)) y)) (cbrt.f64 (-.f64 (+.f64 1 (*.f64 x y)) y)))
7.0ms	(cbrt.f64 (-.f64 (+.f64 1 (*.f64 x y)) y))
5.0ms	(cbrt.f64 (-.f64 (+.f64 1 (*.f64 x y)) y))
5.0ms	(cbrt.f64 (-.f64 (+.f64 1 (*.f64 x y)) y))

Compiler

Compiled 3880 to 2193 computations (43.5% saved)

series1.9s (24.4%)

Error

0.0b

Counts

4 → 80

Calls

4 calls:

633.0ms	(.f64 (cbrt.f64 (-.f64 (+.f64 1 (.f64 x y)) y)) (cbrt.f64 (-.f64 (+.f64 1 (*.f64 x y)) y)))
313.0ms	(cbrt.f64 (-.f64 (+.f64 1 (*.f64 x y)) y))
293.0ms	(cbrt.f64 (-.f64 (+.f64 1 (*.f64 x y)) y))
260.0ms	(cbrt.f64 (-.f64 (+.f64 1 (*.f64 x y)) y))

Compiler

Compiled 12644 to 9722 computations (23.1% saved)

simplify111.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	4975	9348
1	4975	9348

prune563.0ms (7.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	180	1	181
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	180	4	184

Error

Counts

184 → 4

Compiler

Compiled 9111 to 5417 computations (40.5% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (+.f64 1 (-.f64 (*.f64 y x) y)))
0.3b	(cbrt.f64 (+.f64 1 (-.f64 (*.f64 y x) y)))
0.3b	(cbrt.f64 (-.f64 (+.f64 1 (*.f64 x y)) y))
0.3b	(cbrt.f64 (-.f64 (+.f64 1 (*.f64 x y)) y))

rewrite180.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`cbrt-prod_binary64_15113`
16×	`*-un-lft-identity_binary64_15082`
12×	`add-sqr-sqrt_binary64_15104`
8×	`add-cube-cbrt_binary64_15117` `cbrt-div_binary64_15114`
4×	`pow1/3_binary64_15164` `pow1_binary64_15143` `add-log-exp_binary64_15121` `add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118`
2×	`flip3--_binary64_15086` `flip--_binary64_15057` `difference-of-squares_binary64_15051` `distribute-lft-out--_binary64_15034` `flip3-+_binary64_15085` `flip-+_binary64_15056` `distribute-lft-out_binary64_15033`

Counts

4 → 58

Calls

4 calls:

10.0ms	(cbrt.f64 (-.f64 (+.f64 1 (*.f64 x y)) y))
8.0ms	(cbrt.f64 (+.f64 1 (-.f64 (*.f64 y x) y)))
6.0ms	(cbrt.f64 (-.f64 (+.f64 1 (*.f64 x y)) y))
5.0ms	(cbrt.f64 (+.f64 1 (-.f64 (*.f64 y x) y)))

Compiler

Compiled 3324 to 1744 computations (47.5% saved)

series1.7s (21.8%)

Error

Counts

4 → 80

Calls

4 calls:

354.0ms	(cbrt.f64 (-.f64 (+.f64 1 (*.f64 x y)) y))
322.0ms	(cbrt.f64 (+.f64 1 (-.f64 (*.f64 y x) y)))
311.0ms	(cbrt.f64 (+.f64 1 (-.f64 (*.f64 y x) y)))
305.0ms	(cbrt.f64 (-.f64 (+.f64 1 (*.f64 x y)) y))

Compiler

Compiled 14320 to 9872 computations (31.1% saved)

simplify105.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4980	4692
1	4980	4692

prune442.0ms (5.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	138	4	142

Error

Counts

142 → 4

Compiler

Compiled 8633 to 4549 computations (47.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 1 x) (-.f64 1 y))
2.2b	(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))

rewrite85.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`add-sqr-sqrt_binary64_15104`
14×	`*-un-lft-identity_binary64_15082`
12×	`cancel-sign-sub-inv_binary64_15048`
8×	`add-cube-cbrt_binary64_15117` `distribute-rgt-in_binary64_15032` `associate-+r+_binary64_15014` `distribute-lft-in_binary64_15031`
6×	`flip3--_binary64_15086` `flip--_binary64_15057` `associate-l_binary64_15023` `associate-r_binary64_15022`
4×	`add-log-exp_binary64_15121` `pow1_binary64_15143` `add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118` `sub-neg_binary64_15075` `frac-times_binary64_15092` `difference-of-squares_binary64_15051`
2×	`associate-l/_binary64_15025` `associate-r/_binary64_15024` `distribute-lft-out--_binary64_15034`
1×	`sum-log_binary64_15173` `flip3-+_binary64_15085` `flip-+_binary64_15056` `+-commutative_binary64_15012` `pow-prod-down_binary64_15153` `prod-exp_binary64_15131` `cbrt-unprod_binary64_15115` `unswap-sqr_binary64_15050` `*-commutative_binary64_15013`

Counts

2 → 59

Calls

2 calls:

11.0ms	(*.f64 (-.f64 1 x) (-.f64 1 y))
5.0ms	(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))

Compiler

Compiled 1086 to 742 computations (31.7% saved)

series172.0ms (2.2%)

Error

Counts

2 → 24

Calls

2 calls:

91.0ms	(*.f64 (-.f64 1 x) (-.f64 1 y))
70.0ms	(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))

Compiler

Compiled 460 to 322 computations (30% saved)

simplify84.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5147	952

prune75.0ms (1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	83	4	87

Error

Counts

87 → 4

Compiler

Compiled 1020 to 615 computations (39.7% saved)

regimes164.0ms (2.1%)

Accuracy

Total 0.0b remaining (82.1%)

Threshold costs 0.0b (82.1%)

Compiler

Compiled 1091 to 798 computations (26.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	96	10
1	96	10

end0.0ms (0%)

sample993.0ms (12.9%)

Algorithm

1×

intervals

Results

201.0ms	6032×	body	128	valid
79.0ms	695×	body	1024	valid
70.0ms	757×	body	512	valid
30.0ms	505×	body	256	valid
2.0ms	79×	body	128	invalid
2.0ms	11×	body	2048	valid

Compiler

Compiled 278 to 203 computations (27% saved)

Details

analyze397.0ms (5.1%)

sample23.0ms (0.3%)

simplify244.0ms (3.2%)

prune7.0ms (0.1%)

localize9.0ms (0.1%)

rewrite30.0ms (0.4%)

series88.0ms (1.1%)

simplify70.0ms (0.9%)

prune27.0ms (0.4%)

localize9.0ms (0.1%)

rewrite240.0ms (3.1%)

series1.9s (24.4%)

simplify111.0ms (1.4%)

prune563.0ms (7.3%)

localize22.0ms (0.3%)

rewrite180.0ms (2.3%)

series1.7s (21.8%)

simplify105.0ms (1.4%)

prune442.0ms (5.7%)

localize5.0ms (0.1%)

rewrite85.0ms (1.1%)

series172.0ms (2.2%)

simplify84.0ms (1.1%)

prune75.0ms (1%)

regimes164.0ms (2.1%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample993.0ms (12.9%)

Profiling