Details

analyze1.9s (22.6%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5069	64
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	99.9%	0.1%	8
2.7%	90.9%	6.4%	9
2.7%	90.9%	6.4%	9
4.1%	86.4%	9.5%	10
4.1%	86.4%	9.5%	10
4.4%	86.1%	9.5%	11
4.4%	86.1%	9.5%	11
19.7%	65.3%	15%	12
19.7%	65.3%	15%	12
21.9%	60.4%	17.7%	13
21.9%	60.4%	17.7%	13
22.7%	59.6%	17.7%	14
22.7%	59.6%	17.7%	14

Compiler

Compiled 28 to 22 computations (21.4% saved)

sample1.5s (17.6%)

Algorithm

2×

intervals

Results

24.0ms	62×	body	1024	valid
24.0ms	395×	body	128	valid
12.0ms	198×	body	128	nan
9.0ms	37×	body	512	valid
4.0ms	12×	body	1024	invalid
3.0ms	13×	body	512	invalid
2.0ms	17×	body	256	valid
2.0ms	27×	body	128	invalid
2.0ms	11×	body	256	invalid
1.0ms	1×	body	2048	valid

Compiler

Compiled 5333 to 5330 computations (0.1% saved)

simplify68.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4944	16
1	4944	16

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

7.5b

Counts

2 → 1

Compiler

Compiled 22 to 16 computations (27.3% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
0.0b	(/.f64 y (+.f64 y z))
7.3b	(pow.f64 (/.f64 y (+.f64 y z)) y)

rewrite123.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

37×	`*-un-lft-identity_binary64_12013`
24×	`times-frac_binary64_12019`
21×	`add-cube-cbrt_binary64_12048` `add-sqr-sqrt_binary64_12035`
18×	`unpow-prod-down_binary64_12092`
8×	`distribute-lft-out_binary64_11964` `add-exp-log_binary64_12051`
5×	`add-log-exp_binary64_12052` `add-cbrt-cube_binary64_12049`
4×	`associate-/r/_binary64_11959` `pow1_binary64_12074` `associate-/r*_binary64_11957`
3×	`flip3-+_binary64_12016` `flip-+_binary64_11987` `pow-unpow_binary64_12090` `associate-/l*_binary64_11958`
2×	`div-inv_binary64_12010` `div-exp_binary64_12064` `pow-exp_binary64_12081`
1×	`pow-pow_binary64_12085` `pow-to-exp_binary64_12082` `sqr-pow_binary64_11985` `cbrt-undiv_binary64_12047` `frac-2neg_binary64_12024` `clear-num_binary64_12012` `sum-log_binary64_12104` `+-commutative_binary64_11943`

Counts

3 → 78

Calls

3 calls:

23.0ms	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
10.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)
5.0ms	(/.f64 y (+.f64 y z))

Compiler

Compiled 1530 to 431 computations (71.8% saved)

series578.0ms (7%)

Error

0.0b

Counts

3 → 35

Calls

3 calls:

386.0ms	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
87.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)
76.0ms	(/.f64 y (+.f64 y z))

Compiler

Compiled 1195 to 851 computations (28.8% saved)

simplify77.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4970	1676
1	4970	1676

prune92.0ms (1.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	111	2	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	112	2	114

Error

0.0b

Counts

114 → 2

Compiler

Compiled 1756 to 455 computations (74.1% saved)

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

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

rewrite16.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

4×	`*-un-lft-identity_binary64_12013`
3×	`add-log-exp_binary64_12052`
2×	`distribute-lft-out_binary64_11964`
1×	`sum-log_binary64_12104` `pow1_binary64_12074` `add-exp-log_binary64_12051` `add-cbrt-cube_binary64_12049` `add-cube-cbrt_binary64_12048` `add-sqr-sqrt_binary64_12035` `flip3-+_binary64_12016` `flip-+_binary64_11987` `div-inv_binary64_12010` `+-commutative_binary64_11943`

Counts

1 → 13

Calls

1 calls:

6.0ms

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

Compiler

Compiled 150 to 106 computations (29.3% saved)

series72.0ms (0.9%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

67.0ms

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

Compiler

Compiled 110 to 119 computations (-8.2% saved)

simplify101.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4881	201
1	4881	201

prune15.0ms (0.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	25	2	27

Error

0.0b

Counts

27 → 2

Compiler

Compiled 178 to 121 computations (32% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
0.0b	(/.f64 (exp.f64 (neg.f64 z)) y)

rewrite50.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`*-un-lft-identity_binary64_12013`
10×	`add-cube-cbrt_binary64_12048` `add-sqr-sqrt_binary64_12035`
9×	`times-frac_binary64_12019`
4×	`add-log-exp_binary64_12052` `add-cbrt-cube_binary64_12049`
3×	`add-exp-log_binary64_12051` `associate-/l_binary64_11958` `associate-/r_binary64_11957`
2×	`pow1_binary64_12074` `associate-/l/_binary64_11960`
1×	`div-exp_binary64_12064` `cbrt-undiv_binary64_12047` `frac-2neg_binary64_12024` `clear-num_binary64_12012` `div-inv_binary64_12010` `neg-sub0_binary64_12008` `exp-diff_binary64_12061` `exp-neg_binary64_12060` `sum-log_binary64_12104` `flip3-+_binary64_12016` `flip-+_binary64_11987` `distribute-lft-out_binary64_11964` `+-commutative_binary64_11943`

Counts

2 → 41

Calls

2 calls:

6.0ms	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
5.0ms	(/.f64 (exp.f64 (neg.f64 z)) y)

Compiler

Compiled 585 to 161 computations (72.5% saved)

series256.0ms (3.1%)

Error

0.0b

Counts

2 → 23

Calls

2 calls:

159.0ms	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
86.0ms	(/.f64 (exp.f64 (neg.f64 z)) y)

Compiler

Compiled 397 to 298 computations (24.9% saved)

simplify73.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5002	784

prune43.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	64	2	66

Error

0.0b

Counts

66 → 2

Compiler

Compiled 677 to 170 computations (74.9% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (exp.f64 (neg.f64 z)) y)
0.2b	(*.f64 (sqrt.f64 (/.f64 (exp.f64 (neg.f64 z)) y)) (sqrt.f64 (/.f64 (exp.f64 (neg.f64 z)) y)))
0.3b	(sqrt.f64 (/.f64 (exp.f64 (neg.f64 z)) y))
0.3b	(sqrt.f64 (/.f64 (exp.f64 (neg.f64 z)) y))

rewrite224.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

98×	`add-sqr-sqrt_binary64_12035`
92×	`sqrt-prod_binary64_12029`
73×	`times-frac_binary64_12019`
58×	`add-cube-cbrt_binary64_12048` `*-un-lft-identity_binary64_12013`
21×	`pow1_binary64_12074`
18×	`swap-sqr_binary64_11980`
16×	`associate-l_binary64_11954` `associate-r_binary64_11953`
10×	`pow1/2_binary64_12093` `sqrt-pow1_binary64_12031`
9×	`unswap-sqr_binary64_11981`
8×	`add-cbrt-cube_binary64_12049` `rem-sqrt-square_binary64_12026`
7×	`add-exp-log_binary64_12051` `div-inv_binary64_12010`
6×	`sqrt-div_binary64_12030`
5×	`pow-prod-up_binary64_12083`
4×	`add-log-exp_binary64_12052`
3×	`pow-prod-down_binary64_12084` `pow-sqr_binary64_11986` `associate-/l_binary64_11958` `associate-/r_binary64_11957`
2×	`sqr-abs_binary64_12028` `associate-/l/_binary64_11960`
1×	`pow2_binary64_12094` `pow-plus_binary64_12076` `prod-exp_binary64_12062` `cbrt-unprod_binary64_12046` `sqrt-unprod_binary64_12033` `rem-square-sqrt_binary64_12025` `frac-times_binary64_12023` `associate-l/_binary64_11956` `associate-r/_binary64_11955` `*-commutative_binary64_11944` `div-exp_binary64_12064` `cbrt-undiv_binary64_12047` `frac-2neg_binary64_12024` `clear-num_binary64_12012` `neg-sub0_binary64_12008` `exp-diff_binary64_12061` `exp-neg_binary64_12060`

Counts

4 → 168

Calls

4 calls:

20.0ms	(*.f64 (sqrt.f64 (/.f64 (exp.f64 (neg.f64 z)) y)) (sqrt.f64 (/.f64 (exp.f64 (neg.f64 z)) y)))
8.0ms	(/.f64 (exp.f64 (neg.f64 z)) y)
5.0ms	(sqrt.f64 (/.f64 (exp.f64 (neg.f64 z)) y))
5.0ms	(sqrt.f64 (/.f64 (exp.f64 (neg.f64 z)) y))

Compiler

Compiled 4056 to 729 computations (82% saved)

series399.0ms (4.8%)

Error

0.0b

Counts

4 → 26

Calls

4 calls:

108.0ms	(*.f64 (sqrt.f64 (/.f64 (exp.f64 (neg.f64 z)) y)) (sqrt.f64 (/.f64 (exp.f64 (neg.f64 z)) y)))
96.0ms	(sqrt.f64 (/.f64 (exp.f64 (neg.f64 z)) y))
94.0ms	(/.f64 (exp.f64 (neg.f64 z)) y)
81.0ms	(sqrt.f64 (/.f64 (exp.f64 (neg.f64 z)) y))

Compiler

Compiled 1152 to 714 computations (38% saved)

simplify99.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4937	2912
1	4937	2912

prune172.0ms (2.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	194	0	194
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	194	2	196

Error

0.0b

Counts

196 → 2

Compiler

Compiled 3507 to 653 computations (81.4% saved)

regimes330.0ms (4%)

Accuracy

Total 1.5b remaining (99%)

Threshold costs 0b (0%)

Compiler

Compiled 2380 to 1542 computations (35.2% saved)

bsearch2.0ms (0%)

Compiler: Compiled 13 to 10 computations (23.1% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	70
1	40	70

end0.0ms (0%)

sample2.1s (25.6%)

Algorithm

1×

intervals

Results

390.0ms	6131×	body	128	valid
356.0ms	962×	body	1024	valid
143.0ms	2945×	body	128	nan
135.0ms	578×	body	512	valid
65.0ms	188×	body	1024	invalid
45.0ms	207×	body	512	invalid
45.0ms	321×	body	256	valid
31.0ms	537×	body	128	invalid
23.0ms	168×	body	256	invalid
5.0ms	8×	body	2048	valid

Compiler

Compiled 546 to 349 computations (36.1% saved)

Details

analyze1.9s (22.6%)

sample1.5s (17.6%)

simplify68.0ms (0.8%)

prune4.0ms (0.1%)

localize7.0ms (0.1%)

rewrite123.0ms (1.5%)

series578.0ms (7%)

simplify77.0ms (0.9%)

prune92.0ms (1.1%)

localize3.0ms (0%)

rewrite16.0ms (0.2%)

series72.0ms (0.9%)

simplify101.0ms (1.2%)

prune15.0ms (0.2%)

localize6.0ms (0.1%)

rewrite50.0ms (0.6%)

series256.0ms (3.1%)

simplify73.0ms (0.9%)

prune43.0ms (0.5%)

localize8.0ms (0.1%)

rewrite224.0ms (2.7%)

series399.0ms (4.8%)

simplify99.0ms (1.2%)

prune172.0ms (2.1%)

regimes330.0ms (4%)

bsearch2.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.1s (25.6%)

Profiling