Details

analyze308.0ms (10.6%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
25%	74.9%	0.1%	8
28.1%	67.9%	4%	9
40.6%	53%	6.4%	10
49.1%	42.9%	7.9%	11
51.5%	37.7%	10.8%	12
59.1%	26.9%	14%	13
63.7%	21.8%	14.5%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample16.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	244×	body	128	valid
1.0ms	7×	body	1024	valid
0.0ms	15×	body	128	invalid
0.0ms	3×	body	256	valid
0.0ms	2×	body	512	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify165.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	31	13
1	31	13

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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 y z))
0.0b	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))

rewrite17.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64_16590` `add-sqr-sqrt_binary64_16611`
4×	`add-log-exp_binary64_16626` `pow1_binary64_16648` `associate-r_binary64_16532` `add-exp-log_binary64_16625` `add-cube-cbrt_binary64_16622` `add-cbrt-cube_binary64_16623`
3×	`associate-l_binary64_16533`
2×	`associate-*r/_binary64_16534` `distribute-rgt-in_binary64_16542` `flip-+_binary64_16564` `associate-+l+_binary64_16525` `distribute-lft-in_binary64_16541` `flip3-+_binary64_16593`
1×	`unswap-sqr_binary64_16558` `pow-prod-down_binary64_16658` `distribute-lft-out_binary64_16543` `cbrt-unprod_binary64_16620` `prod-exp_binary64_16636` `sum-log_binary64_16678` `*-commutative_binary64_16523` `+-commutative_binary64_16522`

Counts

2 → 36

Calls

2 calls:

8.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
7.0ms	(*.f64 x (+.f64 y z))

series107.0ms (3.7%)

Counts

2 → 6

Calls

2 calls:

54.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
53.0ms	(*.f64 x (+.f64 y z))

simplify66.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4979	518
1	4979	518

prune36.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	37	5	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	6	43

Merged error: 0.0b

Counts

43 → 6

Compiler

Compiled 680 to 308 computations (54.7% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 y x) (.f64 z (+.f64 x 5)))
0.0b	(*.f64 z (+.f64 x 5))

rewrite15.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64_16590` `add-sqr-sqrt_binary64_16611`
4×	`add-log-exp_binary64_16626` `pow1_binary64_16648` `associate-r_binary64_16532` `add-exp-log_binary64_16625` `add-cube-cbrt_binary64_16622` `add-cbrt-cube_binary64_16623`
3×	`associate-l_binary64_16533`
2×	`associate-*r/_binary64_16534` `distribute-rgt-in_binary64_16542` `flip-+_binary64_16564` `distribute-lft-in_binary64_16541` `associate-+r+_binary64_16524` `flip3-+_binary64_16593`
1×	`unswap-sqr_binary64_16558` `pow-prod-down_binary64_16658` `distribute-lft-out_binary64_16543` `cbrt-unprod_binary64_16620` `prod-exp_binary64_16636` `sum-log_binary64_16678` `*-commutative_binary64_16523` `+-commutative_binary64_16522`

Counts

2 → 36

Calls

2 calls:

7.0ms	(*.f64 z (+.f64 x 5))
5.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 x 5)))

series106.0ms (3.6%)

Counts

2 → 6

Calls

2 calls:

57.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 x 5)))
48.0ms	(*.f64 z (+.f64 x 5))

simplify66.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5049	518

prune38.0ms (1.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	42	6	48

Merged error: 0b

Counts

48 → 6

Compiler

Compiled 656 to 364 computations (44.5% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x 5))
0.0b	(sqrt.f64 (+.f64 x 5))
0.3b	(*.f64 z (sqrt.f64 (+.f64 x 5)))
0.3b	(.f64 (.f64 z (sqrt.f64 (+.f64 x 5))) (sqrt.f64 (+.f64 x 5)))

rewrite39.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64_16590`
18×	`sqrt-div_binary64_16606`
17×	`sqrt-prod_binary64_16605` `add-sqr-sqrt_binary64_16611`
14×	`associate-r_binary64_16532`
13×	`pow1_binary64_16648`
11×	`add-exp-log_binary64_16625` `add-cube-cbrt_binary64_16622` `add-cbrt-cube_binary64_16623`
10×	`associate-*r/_binary64_16534`
9×	`flip-+_binary64_16564` `flip3-+_binary64_16593`
4×	`pow-prod-down_binary64_16658` `add-log-exp_binary64_16626` `distribute-lft-out_binary64_16543` `frac-times_binary64_16600` `associate-l_binary64_16533` `cbrt-unprod_binary64_16620` `prod-exp_binary64_16636`
2×	`unswap-sqr_binary64_16558` `associate-l/_binary64_16535` `pow1/2_binary64_16667` `sqrt-pow1_binary64_16607` `-commutative_binary64_16523` `rem-sqrt-square_binary64_16603`

Counts

4 → 87

Calls

4 calls:

14.0ms	(.f64 (.f64 z (sqrt.f64 (+.f64 x 5))) (sqrt.f64 (+.f64 x 5)))
9.0ms	(*.f64 z (sqrt.f64 (+.f64 x 5)))
4.0ms	(sqrt.f64 (+.f64 x 5))
4.0ms	(sqrt.f64 (+.f64 x 5))

series200.0ms (6.9%)

Counts

4 → 12

Calls

4 calls:

84.0ms	(*.f64 z (sqrt.f64 (+.f64 x 5)))
57.0ms	(.f64 (.f64 z (sqrt.f64 (+.f64 x 5))) (sqrt.f64 (+.f64 x 5)))
31.0ms	(sqrt.f64 (+.f64 x 5))
28.0ms	(sqrt.f64 (+.f64 x 5))

simplify50.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4960	1424
1	4960	1424

prune102.0ms (3.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	99	6	105

Merged error: 0b

Counts

105 → 6

Compiler

Compiled 2087 to 1346 computations (35.5% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 y x) (/.f64 (.f64 z (+.f64 (pow.f64 x 3) 125)) (+.f64 25 (*.f64 x (-.f64 x 5)))))
0.0b	(*.f64 x (-.f64 x 5))
3.1b	(*.f64 z (+.f64 (pow.f64 x 3) 125))
10.9b	(/.f64 (.f64 z (+.f64 (pow.f64 x 3) 125)) (+.f64 25 (.f64 x (-.f64 x 5))))

rewrite53.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_16611`
14×	`*-un-lft-identity_binary64_16590`
13×	`add-exp-log_binary64_16625` `add-cbrt-cube_binary64_16623`
10×	`add-cube-cbrt_binary64_16622`
9×	`associate-r_binary64_16532`
8×	`pow1_binary64_16648`
6×	`associate-r/_binary64_16534` `add-log-exp_binary64_16626` `associate-l*_binary64_16533`
4×	`flip-+_binary64_16564` `flip3-+_binary64_16593`
3×	`times-frac_binary64_16596` `cbrt-unprod_binary64_16620` `prod-exp_binary64_16636` `associate-/r*_binary64_16536`
2×	`unswap-sqr_binary64_16558` `pow-prod-down_binary64_16658` `associate-/l/_binary64_16539` `sub-neg_binary64_16583` `distribute-rgt-in_binary64_16542` `cbrt-undiv_binary64_16621` `div-exp_binary64_16638` `distribute-lft-in_binary64_16541` `associate-/r/_binary64_16538` `*-commutative_binary64_16523`
1×	`clear-num_binary64_16589` `frac-2neg_binary64_16601` `associate-/l*_binary64_16537` `flip3--_binary64_16594` `difference-of-squares_binary64_16559` `distribute-lft-out_binary64_16543` `distribute-lft-out--_binary64_16544` `div-inv_binary64_16587` `flip--_binary64_16565` `sum-log_binary64_16678` `+-commutative_binary64_16522`

Counts

4 → 83

Calls

4 calls:

14.0ms	(/.f64 (.f64 z (+.f64 (pow.f64 x 3) 125)) (+.f64 25 (.f64 x (-.f64 x 5))))
11.0ms	(*.f64 z (+.f64 (pow.f64 x 3) 125))
10.0ms	(+.f64 (.f64 y x) (/.f64 (.f64 z (+.f64 (pow.f64 x 3) 125)) (+.f64 25 (*.f64 x (-.f64 x 5)))))
8.0ms	(*.f64 x (-.f64 x 5))

series647.0ms (22.2%)

Counts

4 → 12

Calls

4 calls:

240.0ms	(/.f64 (.f64 z (+.f64 (pow.f64 x 3) 125)) (+.f64 25 (.f64 x (-.f64 x 5))))
236.0ms	(+.f64 (.f64 y x) (/.f64 (.f64 z (+.f64 (pow.f64 x 3) 125)) (+.f64 25 (*.f64 x (-.f64 x 5)))))
117.0ms	(*.f64 z (+.f64 (pow.f64 x 3) 125))
53.0ms	(*.f64 x (-.f64 x 5))

simplify73.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4948	1711
1	4948	1711

prune113.0ms (3.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	95	6	101

Merged error: 0b

Counts

101 → 6

Compiler

Compiled 2349 to 1554 computations (33.8% saved)

regimes67.0ms (2.3%)

Compiler: Compiled 427 to 349 computations (18.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms (0%)

sample593.0ms (20.4%)

Algorithm

1×

intervals

Results

228.0ms	7687×	body	128	valid
18.0ms	641×	body	128	invalid
17.0ms	167×	body	1024	valid
7.0ms	100×	body	512	valid
2.0ms	46×	body	256	valid

Compiler

Compiled 119 to 98 computations (17.6% saved)

Details

analyze308.0ms (10.6%)

sample16.0ms (0.5%)

simplify165.0ms (5.7%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite17.0ms (0.6%)

series107.0ms (3.7%)

simplify66.0ms (2.3%)

prune36.0ms (1.2%)

localize7.0ms (0.2%)

rewrite15.0ms (0.5%)

series106.0ms (3.6%)

simplify66.0ms (2.3%)

prune38.0ms (1.3%)

localize9.0ms (0.3%)

rewrite39.0ms (1.3%)

series200.0ms (6.9%)

simplify50.0ms (1.7%)

prune102.0ms (3.5%)

localize12.0ms (0.4%)

rewrite53.0ms (1.8%)

series647.0ms (22.2%)

simplify73.0ms (2.5%)

prune113.0ms (3.9%)

regimes67.0ms (2.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample593.0ms (20.4%)

Profiling