Details

analyze1.5s (19.5%)

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%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.2%	98.5%	0.3%	13
1.8%	97.9%	0.3%	14

Compiler

Compiled 18 to 18 computations (0% saved)

sample44.0ms (0.6%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
6.0ms	122×	body	128	invalid

Compiler

Compiled 35 to 42 computations (-20% saved)

simplify162.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	937	25
1	937	25

prune3.0ms (0%)

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

Merged error: 0.3b

Counts

2 → 1

Compiler

Compiled 34 to 34 computations (0% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
0.0b	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
0.0b	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
0.2b	(/.f64 (*.f64 z t) 16)

rewrite46.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-log-exp_binary64_6596`
17×	`*-un-lft-identity_binary64_6557`
14×	`cancel-sign-sub-inv_binary64_6523`
12×	`add-sqr-sqrt_binary64_6579`
10×	`add-cube-cbrt_binary64_6592`
9×	`add-cbrt-cube_binary64_6593` `associate-+l+_binary64_6490` `add-exp-log_binary64_6595` `times-frac_binary64_6563`
6×	`sum-log_binary64_6648`
4×	`pow1_binary64_6618` `diff-log_binary64_6649`
3×	`flip-+_binary64_6531` `associate-/r*_binary64_6501` `div-inv_binary64_6554` `flip3-+_binary64_6560`
2×	`frac-sub_binary64_6566` `div-exp_binary64_6608` `sub-neg_binary64_6550` `distribute-lft-out_binary64_6508` `+-commutative_binary64_6487` `distribute-lft-out--_binary64_6509` `cbrt-undiv_binary64_6591` `associate--l+_binary64_6494`
1×	`flip--_binary64_6532` `associate-+l-_binary64_6492` `difference-of-squares_binary64_6526` `prod-exp_binary64_6606` `clear-num_binary64_6556` `frac-2neg_binary64_6568` `cbrt-unprod_binary64_6590` `flip3--_binary64_6561` `associate-/l*_binary64_6502`

Counts

4 → 81

Calls

4 calls:

17.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
11.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
5.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
5.0ms	(/.f64 (*.f64 z t) 16)

series276.0ms (3.5%)

Counts

4 → 57

Calls

4 calls:

117.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
89.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
38.0ms	(/.f64 (*.f64 z t) 16)
32.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))

simplify69.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4980	2871
1	4980	2871

prune140.0ms (1.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	134	4	138
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	135	4	139

Merged error: 0.0b

Counts

139 → 4

Compiler

Compiled 3053 to 1418 computations (53.6% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z (/.f64 t 16)))
0.0b	(+.f64 (-.f64 (+.f64 (.f64 x y) (.f64 z (/.f64 t 16))) (/.f64 (*.f64 a b) 4)) c)
0.0b	(*.f64 z (/.f64 t 16))
0.0b	(-.f64 (+.f64 (.f64 x y) (.f64 z (/.f64 t 16))) (/.f64 (*.f64 a b) 4))

rewrite43.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_6579` `*-un-lft-identity_binary64_6557`
20×	`add-log-exp_binary64_6596`
16×	`add-cube-cbrt_binary64_6592` `times-frac_binary64_6563`
14×	`cancel-sign-sub-inv_binary64_6523`
13×	`associate-r_binary64_6497`
9×	`add-cbrt-cube_binary64_6593` `associate-+l+_binary64_6490` `add-exp-log_binary64_6595`
6×	`pow1_binary64_6618` `sum-log_binary64_6648`
4×	`diff-log_binary64_6649`
3×	`flip-+_binary64_6531` `div-inv_binary64_6554` `flip3-+_binary64_6560` `associate-l_binary64_6498`
2×	`frac-sub_binary64_6566` `sub-neg_binary64_6550` `distribute-lft-out_binary64_6508` `unswap-sqr_binary64_6525` `prod-exp_binary64_6606` `+-commutative_binary64_6487` `distribute-lft-out--_binary64_6509` `cbrt-unprod_binary64_6590` `associate--l+_binary64_6494`
1×	`-commutative_binary64_6488` `pow-prod-down_binary64_6628` `flip--_binary64_6532` `associate-r/_binary64_6499` `associate-+l-_binary64_6492` `div-exp_binary64_6608` `difference-of-squares_binary64_6526` `cbrt-undiv_binary64_6591` `flip3--_binary64_6561`

Counts

4 → 92

Calls

4 calls:

12.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (.f64 z (/.f64 t 16))) (/.f64 (*.f64 a b) 4)) c)
9.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z (/.f64 t 16))) (/.f64 (*.f64 a b) 4))
7.0ms	(*.f64 z (/.f64 t 16))
4.0ms	(+.f64 (.f64 x y) (.f64 z (/.f64 t 16)))

series276.0ms (3.5%)

Counts

4 → 57

Calls

4 calls:

119.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (.f64 z (/.f64 t 16))) (/.f64 (*.f64 a b) 4)) c)
85.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z (/.f64 t 16))) (/.f64 (*.f64 a b) 4))
40.0ms	(*.f64 z (/.f64 t 16))
32.0ms	(+.f64 (.f64 x y) (.f64 z (/.f64 t 16)))

simplify73.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4983	3001
1	4983	3001

prune147.0ms (1.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	148	1	149
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	149	4	153

Merged error: 0b

Counts

153 → 4

Compiler

Compiled 3310 to 1639 computations (50.5% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite16.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_6588`
23×	`add-sqr-sqrt_binary64_6579`
15×	`add-cube-cbrt_binary64_6592` `*-un-lft-identity_binary64_6557`
11×	`pow1_binary64_6618`
9×	`pow1/3_binary64_6639`
6×	`associate-r_binary64_6497` `add-exp-log_binary64_6595` `associate-l_binary64_6498` `swap-sqr_binary64_6524`
4×	`add-cbrt-cube_binary64_6593` `unswap-sqr_binary64_6525` `add-log-exp_binary64_6596`
2×	`pow-prod-down_binary64_6628` `pow-sqr_binary64_6530` `pow-prod-up_binary64_6627`
1×	`*-commutative_binary64_6488` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `pow-plus_binary64_6620` `pow2_binary64_6638`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series365.0ms (4.7%)

Counts

4 → 12

Calls

4 calls:

99.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
91.0ms	(cbrt.f64 z)
88.0ms	(cbrt.f64 z)
86.0ms	(cbrt.f64 z)

simplify60.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4892	563
1	4892	563

prune96.0ms (1.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	85	4	89

Merged error: 0b

Counts

89 → 4

Compiler

Compiled 2353 to 1065 computations (54.7% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (.f64 a b) 4))) (cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (*.f64 a b) 4))))
0.5b	(cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (*.f64 a b) 4)))
0.5b	(cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (*.f64 a b) 4)))
0.5b	(cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (*.f64 a b) 4)))

rewrite89.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`cbrt-div_binary64_6589`
43×	`cbrt-prod_binary64_6588`
37×	`add-sqr-sqrt_binary64_6579`
35×	`*-un-lft-identity_binary64_6557`
26×	`frac-sub_binary64_6566`
16×	`frac-times_binary64_6567`
15×	`add-cube-cbrt_binary64_6592`
13×	`flip-+_binary64_6531` `flip--_binary64_6532` `flip3-+_binary64_6560` `flip3--_binary64_6561`
11×	`pow1_binary64_6618`
10×	`swap-sqr_binary64_6524`
9×	`pow1/3_binary64_6639` `distribute-lft-out--_binary64_6509`
8×	`associate-r_binary64_6497` `associate-l_binary64_6498`
7×	`difference-of-squares_binary64_6526`
6×	`add-exp-log_binary64_6595`
4×	`add-cbrt-cube_binary64_6593` `associate-l/_binary64_6500` `associate-r/_binary64_6499` `unswap-sqr_binary64_6525` `add-log-exp_binary64_6596`
2×	`pow-prod-down_binary64_6628` `pow-sqr_binary64_6530` `pow-prod-up_binary64_6627`
1×	`*-commutative_binary64_6488` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `pow-plus_binary64_6620` `pow2_binary64_6638`

Counts

4 → 123

Calls

4 calls:

28.0ms	(.f64 (cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (.f64 a b) 4))) (cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (*.f64 a b) 4))))
14.0ms	(cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (*.f64 a b) 4)))
10.0ms	(cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (*.f64 a b) 4)))
10.0ms	(cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (*.f64 a b) 4)))

series1.3s (16.2%)

Counts

4 → 72

Calls

4 calls:

455.0ms	(.f64 (cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (.f64 a b) 4))) (cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (*.f64 a b) 4))))
276.0ms	(cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (*.f64 a b) 4)))
273.0ms	(cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (*.f64 a b) 4)))
262.0ms	(cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (*.f64 a b) 4)))

simplify123.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5091	13900

prune824.0ms (10.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	195	4	199

Merged error: 0b

Counts

199 → 4

Compiler

Compiled 15501 to 7804 computations (49.7% saved)

regimes444.0ms (5.7%)

Compiler: Compiled 5019 to 4377 computations (12.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	28
1	56	28

end0.0ms (0%)

sample1.7s (21.4%)

Algorithm

1×

intervals

Results

648.0ms	8000×	body	128	valid
221.0ms	3920×	body	128	invalid

Compiler

Compiled 336 to 295 computations (12.2% saved)

Details

analyze1.5s (19.5%)

sample44.0ms (0.6%)

simplify162.0ms (2.1%)

prune3.0ms (0%)

localize14.0ms (0.2%)

rewrite46.0ms (0.6%)

series276.0ms (3.5%)

simplify69.0ms (0.9%)

prune140.0ms (1.8%)

localize13.0ms (0.2%)

rewrite43.0ms (0.5%)

series276.0ms (3.5%)

simplify73.0ms (0.9%)

prune147.0ms (1.9%)

localize17.0ms (0.2%)

rewrite16.0ms (0.2%)

series365.0ms (4.7%)

simplify60.0ms (0.8%)

prune96.0ms (1.2%)

localize18.0ms (0.2%)

rewrite89.0ms (1.1%)

series1.3s (16.2%)

simplify123.0ms (1.6%)

prune824.0ms (10.5%)

regimes444.0ms (5.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.7s (21.4%)

Profiling