Details

analyze1.0s (8.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	90.4%	9.6%	9
0%	45.2%	54.8%	10
0%	45.2%	54.8%	11
0%	45.2%	54.8%	12
0%	45.2%	54.8%	13
0%	44.4%	55.6%	14

Compiler

Compiled 19 to 18 computations (5.3% saved)

sample121.0ms (1%)

Algorithm

1×

intervals

Results

33.0ms	397×	body	128	nan
20.0ms	236×	body	128	valid
17.0ms	198×	body	128	invalid
5.0ms	4×	body	1024	valid
2.0ms	7×	body	512	valid
2.0ms	3×	body	1024	invalid
2.0ms	9×	body	256	valid
1.0ms	3×	body	512	invalid
1.0ms	4×	body	256	invalid

Compiler

Compiled 37 to 41 computations (-10.8% saved)

simplify147.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4948	26
1	4948	26

prune6.0ms (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

3.2b

Counts

2 → 2

Compiler

Compiled 52 to 49 computations (5.8% saved)

localize16.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.3b	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
0.2b	(*.f64 y (-.f64 (log.f64 z) t))
0.0b	(-.f64 (log.f64 z) t)
0.0b	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))
0.0b	(-.f64 (log.f64 z) t)
0.2b	(*.f64 y (-.f64 (log.f64 z) t))
0.3b	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
5.8b	(log.f64 (-.f64 1 z))

rewrite49.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
33×	`log-prod_binary64_2892`
27×	`associate--l+_binary64_2743`
24×	`distribute-lft-in_binary64_2755` `distribute-rgt-in_binary64_2756`
21×	`cancel-sign-sub-inv_binary64_2772` `add-cube-cbrt_binary64_2841`
20×	`associate-+r+_binary64_2738`
14×	`associate-+l+_binary64_2739`
10×	`associate-*r/_binary64_2748`
9×	`pow1_binary64_2867`
8×	`difference-of-squares_binary64_2775`
7×	`add-exp-log_binary64_2844` `flip3--_binary64_2810` `distribute-lft-out--_binary64_2758` `sub-neg_binary64_2799` `add-log-exp_binary64_2845` `flip--_binary64_2781`
6×	`add-cbrt-cube_binary64_2842` `associate-r_binary64_2746`
4×	`frac-add_binary64_2814`
3×	`associate-l_binary64_2747` `log-pow_binary64_2895`
2×	`log-div_binary64_2893`
1×	`*-commutative_binary64_2737` `diff-log_binary64_2898` `prod-exp_binary64_2855` `rem-log-exp_binary64_2847` `cbrt-unprod_binary64_2839` `flip-+_binary64_2780` `sum-log_binary64_2897` `flip3-+_binary64_2809` `pow-prod-down_binary64_2877` `unswap-sqr_binary64_2774` `+-commutative_binary64_2736`

Counts

4 → 123

Calls

8 calls:

15.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
8.0ms	(*.f64 y (-.f64 (log.f64 z) t))
5.0ms	(-.f64 (log.f64 z) t)
4.0ms	(log.f64 (-.f64 1 z))
0.0ms	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))

series1.2s (9.9%)

Counts

4 → 52

Calls

4 calls:

817.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
210.0ms	(*.f64 y (-.f64 (log.f64 z) t))
117.0ms	(-.f64 (log.f64 z) t)
17.0ms	(log.f64 (-.f64 1 z))

Compiler

Compiled 1665 to 1539 computations (7.6% saved)

simplify82.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5069	2998

prune201.0ms (1.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	173	2	175
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	175	2	177

Error

0.0b

Counts

177 → 2

Compiler

Compiled 3992 to 1891 computations (52.6% saved)

localize16.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.2b	(*.f64 y (-.f64 (log.f64 z) t))
0.0b	(*.f64 a (+.f64 b z))
0.0b	(-.f64 (log.f64 z) t)
0.0b	(exp.f64 (-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (+.f64 b z))))
0.0b	(-.f64 (log.f64 z) t)
0.0b	(*.f64 a (+.f64 b z))
0.2b	(*.f64 y (-.f64 (log.f64 z) t))
0.3b	(-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (+.f64 b z)))

rewrite39.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`associate--l+_binary64_2743`
26×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
18×	`add-cube-cbrt_binary64_2841`
16×	`cancel-sign-sub-inv_binary64_2772` `distribute-lft-in_binary64_2755` `distribute-rgt-in_binary64_2756`
15×	`log-prod_binary64_2892`
12×	`associate-*r/_binary64_2748`
10×	`associate-r_binary64_2746` `pow1_binary64_2867`
8×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
7×	`add-log-exp_binary64_2845`
6×	`associate-l_binary64_2747` `sub-neg_binary64_2799`
5×	`flip3--_binary64_2810` `flip--_binary64_2781`
4×	`distribute-lft-out--_binary64_2758` `frac-sub_binary64_2815`
3×	`flip-+_binary64_2780` `flip3-+_binary64_2809`
2×	`associate--r+_binary64_2742` `*-commutative_binary64_2737` `diff-log_binary64_2898` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `difference-of-squares_binary64_2775` `pow-prod-down_binary64_2877` `log-pow_binary64_2895` `unswap-sqr_binary64_2774`
1×	`distribute-lft-out_binary64_2757`

Counts

4 → 112

Calls

8 calls:

10.0ms	(-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (+.f64 b z)))
8.0ms	(*.f64 y (-.f64 (log.f64 z) t))
6.0ms	(*.f64 a (+.f64 b z))
5.0ms	(-.f64 (log.f64 z) t)
0.0ms	(exp.f64 (-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (+.f64 b z))))

series969.0ms (8.2%)

Counts

4 → 65

Calls

4 calls:

554.0ms	(-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (+.f64 b z)))
208.0ms	(*.f64 y (-.f64 (log.f64 z) t))
115.0ms	(-.f64 (log.f64 z) t)
92.0ms	(*.f64 a (+.f64 b z))

Compiler

Compiled 1672 to 1543 computations (7.7% saved)

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5180	2394

prune123.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	176	1	177
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	177	2	179

Error

0.0b

Counts

179 → 2

Compiler

Compiled 3293 to 617 computations (81.3% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 a (+.f64 z b))
0.0b	(.f64 x (exp.f64 (neg.f64 (.f64 a (+.f64 z b)))))
0.0b	(.f64 x (exp.f64 (neg.f64 (.f64 a (+.f64 z b)))))
0.0b	(*.f64 a (+.f64 z b))

rewrite17.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_2828`
9×	`associate-r_binary64_2746`
8×	`*-un-lft-identity_binary64_2806`
6×	`associate-l_binary64_2747` `add-cbrt-cube_binary64_2842` `add-cube-cbrt_binary64_2841` `pow1_binary64_2867`
5×	`add-exp-log_binary64_2844`
4×	`associate-*r/_binary64_2748`
2×	`exp-sum_binary64_2852` `*-commutative_binary64_2737` `exp-neg_binary64_2853` `distribute-lft-in_binary64_2755` `distribute-rgt-in_binary64_2756` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `add-log-exp_binary64_2845` `distribute-neg-in_binary64_2767` `pow-prod-down_binary64_2877` `unswap-sqr_binary64_2774`
1×	`neg-sub0_binary64_2801` `distribute-lft-out_binary64_2757` `flip-+_binary64_2780` `flip3-+_binary64_2809` `un-div-inv_binary64_2804` `exp-diff_binary64_2854`

Counts

2 → 46

Calls

4 calls:

7.0ms	(.f64 x (exp.f64 (neg.f64 (.f64 a (+.f64 z b)))))
6.0ms	(*.f64 a (+.f64 z b))
0.0ms	(.f64 x (exp.f64 (neg.f64 (.f64 a (+.f64 z b)))))
0.0ms	(*.f64 a (+.f64 z b))

series315.0ms (2.7%)

Counts

2 → 35

Calls

2 calls:

226.0ms	(.f64 x (exp.f64 (neg.f64 (.f64 a (+.f64 z b)))))
88.0ms	(*.f64 a (+.f64 z b))

Compiler

Compiled 822 to 778 computations (5.4% saved)

simplify99.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4965	1089
1	4965	1089

prune54.0ms (0.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	81	2	83

Error

0.0b

Counts

83 → 2

Compiler

Compiled 1067 to 273 computations (74.4% saved)

simplify47.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	1346	360
1	1346	360

regimes320.0ms (2.7%)

Compiler: Compiled 2262 to 2478 computations (-9.5% saved)

bsearch0.0ms (0%)

regimes347.0ms (3%)

Compiler: Compiled 522 to 822 computations (-57.5% saved)

bsearch456.0ms (3.9%)

Steps

Iters	Range		Point
6	4.060423761736949e-63	3.5559372294925645e-62	3.5079553932183625e-62
9	-505699700623.77454	-436.0915298047044	-497610064691.84064

Compiler

Compiled 1 to 6 computations (-500% saved)

regimes290.0ms (2.5%)

Compiler: Compiled 216 to 474 computations (-119.4% saved)

bsearch474.0ms (4%)

Steps

Iters	Range		Point
6	4.060423761736949e-63	3.5559372294925645e-62	3.5079553932183625e-62
9	-505699700623.77454	-436.0915298047044	-443.62559036853503

Compiler

Compiled 1 to 6 computations (-500% saved)

regimes151.0ms (1.3%)

Compiler: Compiled 90 to 294 computations (-226.7% saved)

bsearch584.0ms (5%)

Steps

Iters	Range		Point
8	1.530321212326087e-95	1.6049701350856968e-92	1.5749333415452295e-92
9	2.8804754517723742e-282	4.986874127181401e-276	2.9152902654397555e-282
6	-1.697846132898036e-307	-2.31069769740122e-309	-1.355154033426289e-308
5	-9.101964588182e-277	-2.7985087248875225e-277	-8.939281722446197e-277
9	-8.237978316631568e-202	-5.948929958055485e-207	-3.150568392075559e-206
8	-9.95517414917866e-113	-2.3979197033406926e-116	-9.833092599104121e-113

Compiler

Compiled 1 to 6 computations (-500% saved)

regimes146.0ms (1.2%)

Compiler: Compiled 36 to 234 computations (-550% saved)

bsearch582.0ms (5%)

Steps

Iters	Range		Point
6	4.060423761736949e-63	3.5559372294925645e-62	2.7402460128311343e-62
9	2.8804754517723742e-282	4.986874127181401e-276	5.9746432292435246e-279
6	-1.697846132898036e-307	-2.31069769740122e-309	-2.971923734863674e-309
5	-9.101964588182e-277	-2.7985087248875225e-277	-8.939281722446197e-277
9	-8.237978316631568e-202	-5.948929958055485e-207	-1.242976983642734e-206
8	-9.95517414917866e-113	-2.3979197033406926e-116	-5.438156796420675e-113

Compiler

Compiled 1 to 6 computations (-500% saved)

regimes57.0ms (0.5%)

Accuracy

Total 0.4b remaining (92.4%)

Threshold costs 0.4b (92.4%)

Compiler

Compiled 30 to 198 computations (-560% saved)

bsearch7.0ms (0.1%)

Compiler: Compiled 139 to 125 computations (10.1% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	231	176
1	231	176

end0.0ms (0%)

sample3.7s (31.7%)

Algorithm

1×

intervals

Results

941.0ms	11017×	body	128	nan
633.0ms	7321×	body	128	valid
471.0ms	5498×	body	128	invalid
91.0ms	293×	body	512	valid
76.0ms	131×	body	1024	valid
47.0ms	255×	body	256	valid
42.0ms	134×	body	512	invalid
25.0ms	141×	body	256	invalid
24.0ms	43×	body	1024	invalid

Compiler

Compiled 361 to 381 computations (-5.5% saved)

Pareto

0.6579652490898801

Details

analyze1.0s (8.9%)

sample121.0ms (1%)

simplify147.0ms (1.3%)

prune6.0ms (0.1%)

localize16.0ms (0.1%)

rewrite49.0ms (0.4%)

series1.2s (9.9%)

simplify82.0ms (0.7%)

prune201.0ms (1.7%)

localize16.0ms (0.1%)

rewrite39.0ms (0.3%)

series969.0ms (8.2%)

simplify75.0ms (0.6%)

prune123.0ms (1.1%)

localize10.0ms (0.1%)

rewrite17.0ms (0.1%)

series315.0ms (2.7%)

simplify99.0ms (0.8%)

prune54.0ms (0.5%)

simplify47.0ms (0.4%)

regimes320.0ms (2.7%)

bsearch0.0ms (0%)

regimes347.0ms (3%)

bsearch456.0ms (3.9%)

regimes290.0ms (2.5%)

bsearch474.0ms (4%)

regimes151.0ms (1.3%)

bsearch584.0ms (5%)

regimes146.0ms (1.2%)

bsearch582.0ms (5%)

regimes57.0ms (0.5%)

bsearch7.0ms (0.1%)

simplify10.0ms (0.1%)

end0.0ms (0%)

sample3.7s (31.7%)

Profiling