Details

analyze86.0ms (2.4%)

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
50%	50%	0.1%	5
56.2%	43.7%	0.1%	6
74.9%	25%	0.1%	7
76.5%	23.4%	0.1%	8
84.3%	15.6%	0.1%	9
86.2%	13.7%	0.1%	10
91.3%	8.6%	0.1%	11
92.6%	7.3%	0.1%	12
95.4%	4.5%	0.1%	13
96.1%	3.8%	0.1%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample26.0ms (0.7%)

Algorithm

1×

intervals

Results

8.0ms	179×	body	128	valid
7.0ms	40×	body	1024	valid
3.0ms	24×	body	512	valid
1.0ms	13×	body	256	valid

Compiler

Compiled 13 to 13 computations (0% saved)

simplify101.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	17	9
1	17	9

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

0.2b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
0.1b	(/.f64 (sin.f64 y) y)
0.1b	(/.f64 (sin.f64 y) y)
0.1b	(*.f64 x (/.f64 (sin.f64 y) y))

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_3169`
19×	`times-frac_binary64_3153`
18×	`*-un-lft-identity_binary64_3147` `add-cube-cbrt_binary64_3182`
13×	`associate-r_binary64_3087`
9×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
4×	`pow1_binary64_3208`
3×	`associate-/r_binary64_3091` `associate-/l_binary64_3092` `associate-l_binary64_3088`
2×	`unswap-sqr_binary64_3115` `prod-exp_binary64_3196` `cbrt-undiv_binary64_3181` `cbrt-unprod_binary64_3180` `div-exp_binary64_3198` `add-log-exp_binary64_3186` `div-inv_binary64_3144`
1×	`-commutative_binary64_3078` `clear-num_binary64_3146` `pow-prod-down_binary64_3218` `frac-2neg_binary64_3158` `associate-r/_binary64_3089`

Counts

2 → 59

Calls

4 calls:

8.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms	(/.f64 (sin.f64 y) y)
0.0ms	(/.f64 (sin.f64 y) y)
0.0ms	(*.f64 x (/.f64 (sin.f64 y) y))

series138.0ms (3.8%)

Counts

2 → 13

Calls

2 calls:

109.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
29.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 184 to 160 computations (13% saved)

simplify68.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4938	843
1	4938	843

prune62.0ms (1.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	65	7	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	7	73

Error

0.0b

Counts

73 → 7

Compiler

Compiled 854 to 241 computations (71.8% saved)

localize7.0ms (0.2%)

Local error

Found 6 expressions with local error:

0.2b	(/.f64 1 (/.f64 y (sin.f64 y)))
0.1b	(/.f64 y (sin.f64 y))
0.1b	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
0.1b	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
0.1b	(/.f64 y (sin.f64 y))
0.2b	(/.f64 1 (/.f64 y (sin.f64 y)))

rewrite46.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

156×	`times-frac_binary64_3153`
103×	`add-sqr-sqrt_binary64_3169`
91×	`*-un-lft-identity_binary64_3147`
89×	`add-cube-cbrt_binary64_3182`
44×	`associate-r_binary64_3087`
35×	`add-exp-log_binary64_3185`
19×	`add-cbrt-cube_binary64_3183`
16×	`associate-/r*_binary64_3091`
15×	`div-exp_binary64_3198`
10×	`div-inv_binary64_3144`
7×	`prod-exp_binary64_3196` `cbrt-undiv_binary64_3181`
6×	`pow1_binary64_3208` `associate-/l*_binary64_3092`
5×	`unswap-sqr_binary64_3115`
4×	`1-exp_binary64_3191` `rec-exp_binary64_3197`
3×	`cbrt-unprod_binary64_3180` `add-log-exp_binary64_3186` `associate-l_binary64_3088`
2×	`clear-num_binary64_3146` `frac-2neg_binary64_3158` `associate-/r/_binary64_3093`
1×	`-commutative_binary64_3078` `pow-prod-down_binary64_3218` `inv-pow_binary64_3232` `pow-flip_binary64_3221` `un-div-inv_binary64_3145` `associate-r/_binary64_3089`

Counts

3 → 176

Calls

6 calls:

20.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
7.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))
3.0ms	(/.f64 y (sin.f64 y))
0.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
0.0ms	(/.f64 y (sin.f64 y))

series174.0ms (4.8%)

Counts

3 → 18

Calls

3 calls:

105.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
39.0ms	(/.f64 y (sin.f64 y))
30.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

Compiler

Compiled 272 to 242 computations (11% saved)

simplify117.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4931	2726
1	4931	2726

prune139.0ms (3.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	191	3	194
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	194	7	201

Error

Counts

201 → 7

Compiler

Compiled 2732 to 915 computations (66.5% saved)

localize5.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 y (sin.f64 y))
0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
0.1b	(/.f64 y (sin.f64 y))

rewrite17.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`times-frac_binary64_3153`
52×	`*-un-lft-identity_binary64_3147` `add-sqr-sqrt_binary64_3169` `add-cube-cbrt_binary64_3182`
16×	`associate-/r*_binary64_3091`
9×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
6×	`associate-/l*_binary64_3092` `div-inv_binary64_3144`
4×	`cbrt-undiv_binary64_3181` `div-exp_binary64_3198`
2×	`clear-num_binary64_3146` `frac-2neg_binary64_3158` `pow1_binary64_3208` `add-log-exp_binary64_3186`
1×	`associate-/r/_binary64_3093`

Counts

2 → 97

Calls

4 calls:

6.0ms	(/.f64 x (/.f64 y (sin.f64 y)))
3.0ms	(/.f64 y (sin.f64 y))
0.0ms	(/.f64 x (/.f64 y (sin.f64 y)))
0.0ms	(/.f64 y (sin.f64 y))

series143.0ms (4%)

Counts

2 → 13

Calls

2 calls:

104.0ms	(/.f64 x (/.f64 y (sin.f64 y)))
39.0ms	(/.f64 y (sin.f64 y))

Compiler

Compiled 184 to 160 computations (13% saved)

simplify82.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4948	1841
1	4948	1841

prune69.0ms (1.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	110	7	117

Error

Counts

117 → 7

Compiler

Compiled 1479 to 339 computations (77.1% saved)

localize8.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.2b	(*.f64 y (/.f64 1 (sin.f64 y)))
0.2b	(/.f64 1 (*.f64 y (/.f64 1 (sin.f64 y))))
0.1b	(.f64 x (/.f64 1 (.f64 y (/.f64 1 (sin.f64 y)))))
0.1b	(/.f64 1 (sin.f64 y))
0.1b	(/.f64 1 (sin.f64 y))
0.1b	(.f64 x (/.f64 1 (.f64 y (/.f64 1 (sin.f64 y)))))
0.2b	(/.f64 1 (*.f64 y (/.f64 1 (sin.f64 y))))
0.2b	(*.f64 y (/.f64 1 (sin.f64 y)))

rewrite45.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

104×	`add-exp-log_binary64_3185`
44×	`prod-exp_binary64_3196`
36×	`div-exp_binary64_3198`
34×	`add-cbrt-cube_binary64_3183` `add-sqr-sqrt_binary64_3169`
26×	`times-frac_binary64_3153` `*-un-lft-identity_binary64_3147`
25×	`add-cube-cbrt_binary64_3182`
22×	`associate-r_binary64_3087`
18×	`1-exp_binary64_3191` `rec-exp_binary64_3197`
12×	`pow1_binary64_3208`
10×	`cbrt-undiv_binary64_3181` `cbrt-unprod_binary64_3180`
6×	`associate-/l_binary64_3092` `associate-l*_binary64_3088`
4×	`unswap-sqr_binary64_3115` `associate-/r_binary64_3091` `add-log-exp_binary64_3186` `associate-/r/_binary64_3093` `un-div-inv_binary64_3145` `associate-r/_binary64_3089` `div-inv_binary64_3144`
3×	`pow-prod-down_binary64_3218` `pow-flip_binary64_3221`
2×	`*-commutative_binary64_3078` `clear-num_binary64_3146` `frac-2neg_binary64_3158` `inv-pow_binary64_3232`

Counts

4 → 151

Calls

8 calls:

12.0ms	(.f64 x (/.f64 1 (.f64 y (/.f64 1 (sin.f64 y)))))
10.0ms	(/.f64 1 (*.f64 y (/.f64 1 (sin.f64 y))))
8.0ms	(*.f64 y (/.f64 1 (sin.f64 y)))
4.0ms	(/.f64 1 (sin.f64 y))
0.0ms	(/.f64 1 (sin.f64 y))

series206.0ms (5.7%)

Counts

4 → 23

Calls

4 calls:

106.0ms	(.f64 x (/.f64 1 (.f64 y (/.f64 1 (sin.f64 y)))))
39.0ms	(*.f64 y (/.f64 1 (sin.f64 y)))
31.0ms	(/.f64 1 (sin.f64 y))
30.0ms	(/.f64 1 (*.f64 y (/.f64 1 (sin.f64 y))))

Compiler

Compiled 378 to 334 computations (11.6% saved)

simplify103.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4907	1624
1	4907	1624

prune102.0ms (2.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	174	7	181

Error

Counts

181 → 7

Compiler

Compiled 1962 to 855 computations (56.4% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	148	434
1	148	434

regimes185.0ms (5.1%)

Compiler: Compiled 1279 to 894 computations (30.1% saved)

bsearch0.0ms (0%)

regimes56.0ms (1.6%)

Compiler: Compiled 82 to 90 computations (-9.8% saved)

bsearch37.0ms (1%)

Steps

Iters	Range		Point
7	1.3375862375019041e-05	0.00023640422457046268	0.00022643016838745178
10	-0.0019078423642340055	-1.0809084069364152e-13	-0.00038475853256956117

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes23.0ms (0.7%)

Compiler: Compiled 70 to 80 computations (-14.3% saved)

bsearch0.0ms (0%)

regimes42.0ms (1.2%)

Compiler: Compiled 12 to 30 computations (-150% saved)

bsearch34.0ms (1%)

Steps

Iters	Range		Point
8	18176197239.016254	11785814162017.564	233902413342.02118
10	-1.3152419455487004e+42	-1.5843746924994637e+28	-3.7580092184483376e+37

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes19.0ms (0.5%)

Accuracy

Total 0.1b remaining (98.3%)

Threshold costs 0.1b (98.3%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch4.0ms (0.1%)

Compiler: Compiled 57 to 45 computations (21.1% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	86	75
1	86	75

end0.0ms (0%)

sample1.4s (39.3%)

Algorithm

1×

intervals

Results

446.0ms	5400×	body	128	valid
233.0ms	1296×	body	1024	valid
105.0ms	868×	body	512	valid
38.0ms	431×	body	256	valid
1.0ms	5×	body	2048	valid

Compiler

Compiled 329 to 242 computations (26.4% saved)

Pareto

0.5580720911844449

Details

analyze86.0ms (2.4%)

sample26.0ms (0.7%)

simplify101.0ms (2.8%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite16.0ms (0.4%)

series138.0ms (3.8%)

simplify68.0ms (1.9%)

prune62.0ms (1.7%)

localize7.0ms (0.2%)

rewrite46.0ms (1.3%)

series174.0ms (4.8%)

simplify117.0ms (3.2%)

prune139.0ms (3.9%)

localize5.0ms (0.2%)

rewrite17.0ms (0.5%)

series143.0ms (4%)

simplify82.0ms (2.3%)

prune69.0ms (1.9%)

localize8.0ms (0.2%)

rewrite45.0ms (1.3%)

series206.0ms (5.7%)

simplify103.0ms (2.9%)

prune102.0ms (2.8%)

simplify9.0ms (0.2%)

regimes185.0ms (5.1%)

bsearch0.0ms (0%)

regimes56.0ms (1.6%)

bsearch37.0ms (1%)

regimes23.0ms (0.7%)

bsearch0.0ms (0%)

regimes42.0ms (1.2%)

bsearch34.0ms (1%)

regimes19.0ms (0.5%)

bsearch4.0ms (0.1%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.4s (39.3%)

Profiling