Details

analyze321.0ms (10.2%)

Algorithm

1×

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
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	56.9%	2.5%	9
45.2%	50.7%	4%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	11%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample21.0ms (0.7%)

Algorithm

1×

intervals

Results

10.0ms	254×	body	128	valid
1.0ms	28×	body	128	invalid
0.0ms	1×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 27 to 26 computations (3.7% saved)

simplify105.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	135	10
1	135	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 → 2

Compiler

Compiled 27 to 25 computations (7.4% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

rewrite11.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64_3147`
5×	`associate-r_binary64_3087` `add-sqr-sqrt_binary64_3169`
3×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `distribute-lft-out_binary64_3098` `pow1_binary64_3208` `add-cube-cbrt_binary64_3182` `associate-l_binary64_3088`
2×	`associate-*r/_binary64_3089`
1×	`*-commutative_binary64_3078` `unswap-sqr_binary64_3115` `flip-+_binary64_3121` `pow-prod-down_binary64_3218` `flip3-+_binary64_3150` `prod-exp_binary64_3196` `distribute-lft-in_binary64_3096` `cbrt-unprod_binary64_3180` `add-log-exp_binary64_3186` `distribute-rgt-in_binary64_3097`

Counts

1 → 24

Calls

2 calls:

9.0ms	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
0.0ms	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

series105.0ms (3.3%)

Counts

1 → 15

Calls

1 calls:

105.0ms

(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

Compiler

Compiled 196 to 178 computations (9.2% saved)

simplify75.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4922	411
1	4922	411

prune33.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	38	3	41

Error

Counts

41 → 3

Compiler

Compiled 414 to 259 computations (37.4% saved)

localize9.0ms (0.3%)

Local error

Found 6 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
0.0b	(*.f64 (+.f64 d3 5) d1)
0.0b	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
0.0b	(*.f64 (+.f64 d3 5) d1)
0.0b	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
0.0b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))

rewrite21.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64_3186`
7×	`*-un-lft-identity_binary64_3147` `add-sqr-sqrt_binary64_3169`
5×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `pow1_binary64_3208` `add-cube-cbrt_binary64_3182`
4×	`associate-l_binary64_3088` `sum-log_binary64_3238`
3×	`flip-+_binary64_3121` `associate-r_binary64_3087` `flip3-+_binary64_3150`
2×	`associate-*l/_binary64_3090` `+-commutative_binary64_3077`
1×	`*-commutative_binary64_3078` `unswap-sqr_binary64_3115` `pow-prod-down_binary64_3218` `associate-+l+_binary64_3080` `distribute-lft-out_binary64_3098` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`

Counts

3 → 45

Calls

6 calls:

7.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
7.0ms	(*.f64 (+.f64 d3 5) d1)
4.0ms	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
0.0ms	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
0.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))

series351.0ms (11.2%)

Counts

3 → 39

Calls

3 calls:

147.0ms	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
147.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
58.0ms	(*.f64 (+.f64 d3 5) d1)

Compiler

Compiled 697 to 598 computations (14.2% saved)

simplify67.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4992	901
1	4992	901

prune67.0ms (2.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	84	3	87

Error

Counts

87 → 3

Compiler

Compiled 1144 to 685 computations (40.1% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 (+.f64 d3 37)))) (sqrt.f64 (+.f64 d2 (+.f64 d3 37))))
0.2b	(*.f64 d1 (sqrt.f64 (+.f64 d2 (+.f64 d3 37))))
0.2b	(*.f64 d1 (sqrt.f64 (+.f64 d2 (+.f64 d3 37))))
0.2b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 (+.f64 d3 37)))) (sqrt.f64 (+.f64 d2 (+.f64 d3 37))))

rewrite33.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64_3147`
16×	`associate-r_binary64_3087`
14×	`sqrt-div_binary64_3164`
11×	`add-sqr-sqrt_binary64_3169` `sqrt-prod_binary64_3163`
10×	`associate-*r/_binary64_3089`
9×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `pow1_binary64_3208`
7×	`flip-+_binary64_3121` `flip3-+_binary64_3150` `add-cube-cbrt_binary64_3182`
6×	`distribute-lft-out_binary64_3098`
4×	`frac-times_binary64_3157` `pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `associate-l_binary64_3088`
2×	`-commutative_binary64_3078` `unswap-sqr_binary64_3115` `associate-l/_binary64_3090` `add-log-exp_binary64_3186`

Counts

2 → 57

Calls

4 calls:

17.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 (+.f64 d3 37)))) (sqrt.f64 (+.f64 d2 (+.f64 d3 37))))
10.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 (+.f64 d3 37))))
0.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 (+.f64 d3 37))))
0.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 (+.f64 d3 37)))) (sqrt.f64 (+.f64 d2 (+.f64 d3 37))))

series244.0ms (7.7%)

Counts

2 → 29

Calls

2 calls:

136.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 (+.f64 d3 37))))
108.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 (+.f64 d3 37)))) (sqrt.f64 (+.f64 d2 (+.f64 d3 37))))

Compiler

Compiled 746 to 628 computations (15.8% saved)

simplify69.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4944	1448
1	4944	1448

prune79.0ms (2.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	86	3	89

Error

Counts

89 → 3

Compiler

Compiled 1552 to 1051 computations (32.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	60	183
1	60	183

regimes106.0ms (3.3%)

Compiler: Compiled 584 to 619 computations (-6% saved)

bsearch0.0ms (0%)

regimes83.0ms (2.6%)

Compiler: Compiled 178 to 261 computations (-46.6% saved)

bsearch0.0ms (0%)

regimes87.0ms (2.8%)

Compiler: Compiled 63 to 114 computations (-81% saved)

bsearch58.0ms (1.8%)

Steps

Iters	Range		Point
7	4.576077776052435e+155	6.77681068892772e+157	4.696201976590496e+155
7	-0.002269321912253517	-3.996115098967217e-05	-0.0016423919654486251
10	-4.0558625336345927e+52	-5.632099212621375e+38	-4.002034046307147e+52
3	-6.807569592671813e+87	-5.642572363497906e+87	-5.861009343968015e+87

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes103.0ms (3.3%)

Compiler: Compiled 48 to 96 computations (-100% saved)

bsearch28.0ms (0.9%)

Steps

Iters	Range		Point
8	1.872167347192933e+25	2.197698143601666e+28	1.8913850711423397e+25
6	-1.1445311346510972e+39	-2.5339967081610928e+38	-2.563138542517937e+38

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes65.0ms (2.1%)

Compiler: Compiled 33 to 78 computations (-136.4% saved)

bsearch22.0ms (0.7%)

Steps

Iters	Range		Point
7	4.576077776052435e+155	6.77681068892772e+157	4.696201976590496e+155
3	-6.807569592671813e+87	-5.642572363497906e+87	-5.715384690321276e+87

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes27.0ms (0.9%)

Compiler: Compiled 24 to 66 computations (-175% saved)

bsearch0.0ms (0%)

regimes25.0ms (0.8%)

Compiler: Compiled 15 to 54 computations (-260% saved)

bsearch0.0ms (0%)

regimes22.0ms (0.7%)

Accuracy

Total 0.0b remaining (84.3%)

Threshold costs 0.0b (84.3%)

Compiler

Compiled 12 to 42 computations (-250% saved)

bsearch6.0ms (0.2%)

Compiler: Compiled 94 to 77 computations (18.1% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	57	124
1	57	124

end0.0ms (0%)

sample886.0ms (28.1%)

Algorithm

1×

intervals

Results

311.0ms	7953×	body	128	valid
28.0ms	678×	body	128	invalid
3.0ms	19×	body	1024	valid
2.0ms	17×	body	512	valid
1.0ms	11×	body	256	valid

Compiler

Compiled 234 to 228 computations (2.6% saved)

Pareto

0.47587630831850236

Details

analyze321.0ms (10.2%)

sample21.0ms (0.7%)

simplify105.0ms (3.3%)

prune4.0ms (0.1%)

localize5.0ms (0.2%)

rewrite11.0ms (0.3%)

series105.0ms (3.3%)

simplify75.0ms (2.4%)

prune33.0ms (1%)

localize9.0ms (0.3%)

rewrite21.0ms (0.7%)

series351.0ms (11.2%)

simplify67.0ms (2.1%)

prune67.0ms (2.1%)

localize7.0ms (0.2%)

rewrite33.0ms (1%)

series244.0ms (7.7%)

simplify69.0ms (2.2%)

prune79.0ms (2.5%)

simplify4.0ms (0.1%)

regimes106.0ms (3.3%)

bsearch0.0ms (0%)

regimes83.0ms (2.6%)

bsearch0.0ms (0%)

regimes87.0ms (2.8%)

bsearch58.0ms (1.8%)

regimes103.0ms (3.3%)

bsearch28.0ms (0.9%)

regimes65.0ms (2.1%)

bsearch22.0ms (0.7%)

regimes27.0ms (0.9%)

bsearch0.0ms (0%)

regimes25.0ms (0.8%)

bsearch0.0ms (0%)

regimes22.0ms (0.7%)

bsearch6.0ms (0.2%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample886.0ms (28.1%)

Profiling