Details

analyze42.0ms (1.6%)

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
18.7%	81.2%	0.1%	5
65.6%	34.3%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample14.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify99.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

prune2.0ms (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

0.1b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(/.f64 (*.f64 x 100) (+.f64 x y))
0.1b	(/.f64 (*.f64 x 100) (+.f64 x y))

rewrite10.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64_15423`
6×	`add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459`
4×	`times-frac_binary64_15429` `associate-/r*_binary64_15367`
3×	`add-cube-cbrt_binary64_15458` `add-sqr-sqrt_binary64_15445`
2×	`div-exp_binary64_15474` `distribute-lft-out_binary64_15374` `cbrt-undiv_binary64_15457` `associate-/r/_binary64_15369`
1×	`frac-2neg_binary64_15434` `pow1_binary64_15484` `flip3-+_binary64_15426` `associate-/l*_binary64_15368` `prod-exp_binary64_15472` `flip-+_binary64_15397` `div-inv_binary64_15420` `clear-num_binary64_15422` `cbrt-unprod_binary64_15456` `add-log-exp_binary64_15462`

Counts

1 → 25

Calls

2 calls:

7.0ms	(/.f64 (*.f64 x 100) (+.f64 x y))
0.0ms	(/.f64 (*.f64 x 100) (+.f64 x y))

series96.0ms (3.8%)

Counts

1 → 18

Calls

1 calls:

96.0ms

(/.f64 (*.f64 x 100) (+.f64 x y))

Compiler

Compiled 396 to 348 computations (12.1% saved)

simplify56.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5317	555

prune42.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	4	44

Error

Counts

44 → 4

Compiler

Compiled 476 to 243 computations (48.9% saved)

localize5.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 x (/.f64 (+.f64 x y) 100))
0.0b	(/.f64 (+.f64 x y) 100)
0.0b	(/.f64 (+.f64 x y) 100)
0.2b	(/.f64 x (/.f64 (+.f64 x y) 100))

rewrite26.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

108×	`times-frac_binary64_15429`
92×	`*-un-lft-identity_binary64_15423`
60×	`add-cube-cbrt_binary64_15458` `add-sqr-sqrt_binary64_15445`
19×	`associate-/r*_binary64_15367`
16×	`distribute-lft-out_binary64_15374`
9×	`add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459`
7×	`associate-/l*_binary64_15368`
6×	`div-inv_binary64_15420`
4×	`div-exp_binary64_15474` `cbrt-undiv_binary64_15457`
2×	`frac-2neg_binary64_15434` `pow1_binary64_15484` `associate-/l/_binary64_15370` `clear-num_binary64_15422` `add-log-exp_binary64_15462`
1×	`flip3-+_binary64_15426` `flip-+_binary64_15397` `associate-/r/_binary64_15369`

Counts

2 → 115

Calls

4 calls:

10.0ms	(/.f64 x (/.f64 (+.f64 x y) 100))
6.0ms	(/.f64 (+.f64 x y) 100)
0.0ms	(/.f64 (+.f64 x y) 100)
0.0ms	(/.f64 x (/.f64 (+.f64 x y) 100))

series154.0ms (6.1%)

Counts

2 → 30

Calls

2 calls:

95.0ms	(/.f64 x (/.f64 (+.f64 x y) 100))
59.0ms	(/.f64 (+.f64 x y) 100)

Compiler

Compiled 534 to 474 computations (11.2% saved)

simplify86.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4935	2362
1	4935	2362

prune95.0ms (3.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	145	4	149

Error

Counts

149 → 4

Compiler

Compiled 1952 to 919 computations (52.9% saved)

localize5.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 x (/.f64 100 (+.f64 x y)))
0.0b	(/.f64 100 (+.f64 x y))
0.0b	(/.f64 100 (+.f64 x y))
0.2b	(*.f64 x (/.f64 100 (+.f64 x y)))

rewrite25.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64_15423`
25×	`times-frac_binary64_15429` `add-sqr-sqrt_binary64_15445`
20×	`add-cube-cbrt_binary64_15458`
18×	`associate-r_binary64_15363`
9×	`add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459`
7×	`distribute-lft-out_binary64_15374`
4×	`pow1_binary64_15484` `associate-/r/_binary64_15369` `associate-/r*_binary64_15367`
3×	`associate-/l_binary64_15368` `associate-l*_binary64_15364`
2×	`flip3-+_binary64_15426` `div-exp_binary64_15474` `cbrt-undiv_binary64_15457` `prod-exp_binary64_15472` `flip-+_binary64_15397` `div-inv_binary64_15420` `unswap-sqr_binary64_15391` `cbrt-unprod_binary64_15456` `add-log-exp_binary64_15462`
1×	`-commutative_binary64_15354` `frac-2neg_binary64_15434` `clear-num_binary64_15422` `pow-prod-down_binary64_15494` `associate-r/_binary64_15365`

Counts

2 → 70

Calls

4 calls:

11.0ms	(*.f64 x (/.f64 100 (+.f64 x y)))
8.0ms	(/.f64 100 (+.f64 x y))
0.0ms	(/.f64 100 (+.f64 x y))
0.0ms	(*.f64 x (/.f64 100 (+.f64 x y)))

series159.0ms (6.3%)

Counts

2 → 33

Calls

2 calls:

92.0ms	(*.f64 x (/.f64 100 (+.f64 x y)))
66.0ms	(/.f64 100 (+.f64 x y))

Compiler

Compiled 771 to 669 computations (13.2% saved)

simplify70.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4958	1295
1	4958	1295

prune63.0ms (2.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	103	4	107

Error

Counts

107 → 4

Compiler

Compiled 1244 to 629 computations (49.4% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 1 (/.f64 (+.f64 x y) (*.f64 x 100)))
0.1b	(/.f64 (+.f64 x y) (*.f64 x 100))
0.1b	(/.f64 (+.f64 x y) (*.f64 x 100))
0.4b	(/.f64 1 (/.f64 (+.f64 x y) (*.f64 x 100)))

rewrite26.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`times-frac_binary64_15429`
33×	`*-un-lft-identity_binary64_15423`
28×	`add-exp-log_binary64_15461`
21×	`add-cube-cbrt_binary64_15458` `add-sqr-sqrt_binary64_15445`
16×	`add-cbrt-cube_binary64_15459`
14×	`div-exp_binary64_15474`
9×	`associate-/r*_binary64_15367`
7×	`associate-/l*_binary64_15368` `cbrt-undiv_binary64_15457`
6×	`distribute-lft-out_binary64_15374` `div-inv_binary64_15420`
4×	`prod-exp_binary64_15472`
3×	`rec-exp_binary64_15473` `1-exp_binary64_15467` `pow1_binary64_15484`
2×	`frac-2neg_binary64_15434` `associate-/l/_binary64_15370` `clear-num_binary64_15422` `cbrt-unprod_binary64_15456` `add-log-exp_binary64_15462`
1×	`flip3-+_binary64_15426` `inv-pow_binary64_15508` `pow-flip_binary64_15497` `flip-+_binary64_15397` `associate-/r/_binary64_15369`

Counts

2 → 85

Calls

4 calls:

11.0ms	(/.f64 1 (/.f64 (+.f64 x y) (*.f64 x 100)))
8.0ms	(/.f64 (+.f64 x y) (*.f64 x 100))
0.0ms	(/.f64 (+.f64 x y) (*.f64 x 100))
0.0ms	(/.f64 1 (/.f64 (+.f64 x y) (*.f64 x 100)))

series185.0ms (7.3%)

Counts

2 → 30

Calls

2 calls:

95.0ms	(/.f64 1 (/.f64 (+.f64 x y) (*.f64 x 100)))
90.0ms	(/.f64 (+.f64 x y) (*.f64 x 100))

Compiler

Compiled 534 to 492 computations (7.9% saved)

simplify76.0ms (3%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4934	1634
1	4934	1634

prune75.0ms (3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	115	4	119

Error

Counts

119 → 4

Compiler

Compiled 1413 to 755 computations (46.6% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	78	216
1	78	216

regimes72.0ms (2.8%)

Compiler: Compiled 462 to 374 computations (19% saved)

bsearch0.0ms (0%)

regimes73.0ms (2.9%)

Compiler: Compiled 42 to 62 computations (-47.6% saved)

bsearch38.0ms (1.5%)

Steps

Iters	Range		Point
5	2.7212950471811585e-81	6.331545347347061e-81	4.975308076804745e-81
9	-1.794238100774344e-25	-9.272217297646967e-33	-3.5130400829940072e-31
9	-1.944750297255057e+32	-3.8871584844790034e+24	-1.2525187792662156e+30
4	-1.2816069151470987e+125	-7.956285981386518e+124	-8.040114318717974e+124

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes62.0ms (2.4%)

Compiler: Compiled 22 to 42 computations (-90.9% saved)

bsearch37.0ms (1.5%)

Steps

Iters	Range		Point
5	2.7212950471811585e-81	6.331545347347061e-81	4.975308076804745e-81
9	-1.794238100774344e-25	-9.272217297646967e-33	-2.1137629137057617e-26
9	-1.944750297255057e+32	-3.8871584844790034e+24	-1.9817308564656805e+26
4	-1.2816069151470987e+125	-7.956285981386518e+124	-8.040114318717974e+124

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes41.0ms (1.6%)

Compiler: Compiled 12 to 32 computations (-166.7% saved)

bsearch19.0ms (0.8%)

Steps

Iters	Range		Point
6	6.695293525680476e+112	1.0241339472961765e+114	3.575509823986864e+113
7	-1.1533729493441467e+102	-3.06860625737668e+100	-1.1302920932068166e+102

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes42.0ms (1.7%)

Accuracy

Total 0.3b remaining (99.4%)

Threshold costs 0.3b (99.4%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch23.0ms (0.9%)

Steps

Iters	Range		Point
8	1.546903601630923e+41	7.466086386202508e+45	4.0763155443370693e+45
6	-8.47192239534193e+37	-8.907272237760844e+36	-6.157543015201014e+37

Compiler

Compiled 89 to 79 computations (11.2% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	77	117
1	77	117

end0.0ms (0%)

sample690.0ms (27.3%)

Algorithm

1×

intervals

Results

203.0ms

8000×

body

128

valid

Compiler

Compiled 248 to 209 computations (15.7% saved)

Pareto

0.17641175556492983

Details

analyze42.0ms (1.6%)

sample14.0ms (0.6%)

simplify99.0ms (3.9%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite10.0ms (0.4%)

series96.0ms (3.8%)

simplify56.0ms (2.2%)

prune42.0ms (1.6%)

localize5.0ms (0.2%)

rewrite26.0ms (1%)

series154.0ms (6.1%)

simplify86.0ms (3.4%)

prune95.0ms (3.8%)

localize5.0ms (0.2%)

rewrite25.0ms (1%)

series159.0ms (6.3%)

simplify70.0ms (2.8%)

prune63.0ms (2.5%)

localize6.0ms (0.2%)

rewrite26.0ms (1%)

series185.0ms (7.3%)

simplify76.0ms (3%)

prune75.0ms (3%)

simplify5.0ms (0.2%)

regimes72.0ms (2.8%)

bsearch0.0ms (0%)

regimes73.0ms (2.9%)

bsearch38.0ms (1.5%)

regimes62.0ms (2.4%)

bsearch37.0ms (1.5%)

regimes41.0ms (1.6%)

bsearch19.0ms (0.8%)

regimes42.0ms (1.7%)

bsearch23.0ms (0.9%)

simplify5.0ms (0.2%)

end0.0ms (0%)

sample690.0ms (27.3%)

Profiling