Details

analyze681.0ms (16.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
6.2%	82.7%	11.1%	10
12.5%	73.7%	13.8%	11
15.6%	59.5%	25%	12
17.9%	53.3%	28.8%	13
22.4%	47.2%	30.4%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample25.0ms (0.6%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
3.0ms	85×	body	128	invalid

Compiler

Compiled 27 to 27 computations (0% saved)

simplify213.0ms (5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	665	19
1	665	19

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: 8.1b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 z z) t)
0.0b	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
7.6b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

rewrite22.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`pow1_binary64_16648` `add-exp-log_binary64_16625` `add-cbrt-cube_binary64_16623`
7×	`add-log-exp_binary64_16626`
6×	`sub-neg_binary64_16583` `add-sqr-sqrt_binary64_16611`
4×	`associate-r_binary64_16532` `add-cube-cbrt_binary64_16622` `*-un-lft-identity_binary64_16590`
3×	`pow-prod-down_binary64_16658` `flip3--_binary64_16594` `cbrt-unprod_binary64_16620` `prod-exp_binary64_16636` `flip--_binary64_16565`
2×	`associate-*r/_binary64_16534` `distribute-rgt-in_binary64_16542` `associate--r+_binary64_16528` `difference-of-squares_binary64_16559` `distribute-lft-in_binary64_16541` `diff-log_binary64_16679`
1×	`associate-l_binary64_16533` `*-commutative_binary64_16523`

Counts

3 → 48

Calls

3 calls:

9.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
4.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
4.0ms	(-.f64 (*.f64 z z) t)

series264.0ms (6.2%)

Counts

3 → 9

Calls

3 calls:

125.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
110.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
29.0ms	(-.f64 (*.f64 z z) t)

simplify61.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4997	925
1	4997	925

prune59.0ms (1.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	51	6	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	6	58

Merged error: 4.0b

Counts

58 → 6

Compiler

Compiled 1154 to 483 computations (58.1% saved)

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 z z) t)
0.0b	(-.f64 (.f64 x x) (.f64 y (.f64 4 (-.f64 (.f64 z z) t))))
7.3b	(.f64 y (.f64 4 (-.f64 (*.f64 z z) t)))

rewrite23.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`sub-neg_binary64_16583`
8×	`distribute-rgt-in_binary64_16542` `pow1_binary64_16648` `add-exp-log_binary64_16625` `distribute-lft-in_binary64_16541` `add-cbrt-cube_binary64_16623`
7×	`add-log-exp_binary64_16626`
5×	`add-sqr-sqrt_binary64_16611`
4×	`associate-r/_binary64_16534` `associate--r+_binary64_16528` `add-cube-cbrt_binary64_16622` `-un-lft-identity_binary64_16590`
3×	`pow-prod-down_binary64_16658` `flip3--_binary64_16594` `associate-l_binary64_16533` `cbrt-unprod_binary64_16620` `prod-exp_binary64_16636` `flip--_binary64_16565`
2×	`diff-log_binary64_16679`
1×	`associate-r_binary64_16532` `difference-of-squares_binary64_16559` `*-commutative_binary64_16523`

Counts

3 → 51

Calls

3 calls:

9.0ms	(.f64 y (.f64 4 (-.f64 (*.f64 z z) t)))
5.0ms	(-.f64 (.f64 x x) (.f64 y (.f64 4 (-.f64 (.f64 z z) t))))
4.0ms	(-.f64 (*.f64 z z) t)

series266.0ms (6.3%)

Counts

3 → 9

Calls

3 calls:

133.0ms	(-.f64 (.f64 x x) (.f64 y (.f64 4 (-.f64 (.f64 z z) t))))
101.0ms	(.f64 y (.f64 4 (-.f64 (*.f64 z z) t)))
31.0ms	(-.f64 (*.f64 z z) t)

simplify59.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4920	971
1	4920	971

prune55.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	60	6	66

Merged error: 4.0b

Counts

66 → 6

Compiler

Compiled 1190 to 507 computations (57.4% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

4.1b	(cbrt.f64 (.f64 (.f64 y 4) (-.f64 (*.f64 z z) t)))
7.6b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
7.6b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
7.6b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

rewrite49.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`pow1_binary64_16648` `add-exp-log_binary64_16625` `add-cbrt-cube_binary64_16623`
12×	`associate-r_binary64_16532`
10×	`add-sqr-sqrt_binary64_16611`
9×	`pow-prod-down_binary64_16658` `cbrt-unprod_binary64_16620` `prod-exp_binary64_16636`
8×	`associate-*r/_binary64_16534`
7×	`add-cube-cbrt_binary64_16622` `*-un-lft-identity_binary64_16590`
6×	`sub-neg_binary64_16583`
4×	`add-log-exp_binary64_16626` `flip3--_binary64_16594` `flip--_binary64_16565`
3×	`distribute-rgt-in_binary64_16542` `difference-of-squares_binary64_16559` `distribute-lft-in_binary64_16541` `associate-l_binary64_16533` `*-commutative_binary64_16523`
2×	`cbrt-div_binary64_16619`
1×	`pow1/3_binary64_16669` `cbrt-prod_binary64_16618`

Counts

4 → 80

Calls

4 calls:

10.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
9.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
9.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
8.0ms	(cbrt.f64 (.f64 (.f64 y 4) (-.f64 (*.f64 z z) t)))

series543.0ms (12.9%)

Counts

4 → 12

Calls

4 calls:

247.0ms	(cbrt.f64 (.f64 (.f64 y 4) (-.f64 (*.f64 z z) t)))
101.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
99.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
97.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

simplify59.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5145	1370

prune141.0ms (3.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	92	6	98

Merged error: 4.0b

Counts

98 → 6

Compiler

Compiled 3808 to 1683 computations (55.8% saved)

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 z (sqrt.f64 t))
0.1b	(.f64 (.f64 (*.f64 y 4) (+.f64 z (sqrt.f64 t))) (-.f64 z (sqrt.f64 t)))
0.3b	(.f64 (.f64 y 4) (+.f64 z (sqrt.f64 t)))

rewrite36.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`pow1_binary64_16648` `add-exp-log_binary64_16625` `add-cbrt-cube_binary64_16623`
11×	`*-un-lft-identity_binary64_16590`
10×	`associate-r/_binary64_16534` `associate-r*_binary64_16532`
9×	`pow-prod-down_binary64_16658` `cbrt-unprod_binary64_16620` `prod-exp_binary64_16636` `add-sqr-sqrt_binary64_16611`
5×	`add-log-exp_binary64_16626` `flip-+_binary64_16564` `add-cube-cbrt_binary64_16622` `flip3-+_binary64_16593`
4×	`frac-times_binary64_16600`
3×	`flip3--_binary64_16594` `flip--_binary64_16565`
2×	`associate-l/_binary64_16535` `sub-neg_binary64_16583` `distribute-rgt-in_binary64_16542` `difference-of-squares_binary64_16559` `distribute-lft-out_binary64_16543` `distribute-lft-in_binary64_16541` `associate-l_binary64_16533` `-commutative_binary64_16523`
1×	`sqrt-prod_binary64_16605` `distribute-lft-out--_binary64_16544` `sum-log_binary64_16678` `+-commutative_binary64_16522`

Counts

3 → 69

Calls

3 calls:

16.0ms	(.f64 (.f64 (*.f64 y 4) (+.f64 z (sqrt.f64 t))) (-.f64 z (sqrt.f64 t)))
9.0ms	(.f64 (.f64 y 4) (+.f64 z (sqrt.f64 t)))
4.0ms	(+.f64 z (sqrt.f64 t))

series326.0ms (7.7%)

Counts

3 → 9

Calls

3 calls:

201.0ms	(.f64 (.f64 (*.f64 y 4) (+.f64 z (sqrt.f64 t))) (-.f64 z (sqrt.f64 t)))
93.0ms	(.f64 (.f64 y 4) (+.f64 z (sqrt.f64 t)))
33.0ms	(+.f64 z (sqrt.f64 t))

simplify72.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4996	1288
1	4996	1288

prune66.0ms (1.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	77	7	84

Merged error: 4.0b

Counts

84 → 7

Compiler

Compiled 1683 to 619 computations (63.2% saved)

regimes250.0ms (5.9%)

Compiler: Compiled 1924 to 1349 computations (29.9% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 5 computations (-66.7% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	323	54
1	323	54

end0.0ms (0%)

sample898.0ms (21.3%)

Algorithm

1×

intervals

Results

301.0ms	8000×	body	128	valid
116.0ms	3094×	body	128	invalid

Compiler

Compiled 222 to 153 computations (31.1% saved)

Details

analyze681.0ms (16.1%)

sample25.0ms (0.6%)

simplify213.0ms (5%)

prune2.0ms (0.1%)

localize9.0ms (0.2%)

rewrite22.0ms (0.5%)

series264.0ms (6.2%)

simplify61.0ms (1.4%)

prune59.0ms (1.4%)

localize12.0ms (0.3%)

rewrite23.0ms (0.5%)

series266.0ms (6.3%)

simplify59.0ms (1.4%)

prune55.0ms (1.3%)

localize14.0ms (0.3%)

rewrite49.0ms (1.2%)

series543.0ms (12.9%)

simplify59.0ms (1.4%)

prune141.0ms (3.3%)

localize14.0ms (0.3%)

rewrite36.0ms (0.8%)

series326.0ms (7.7%)

simplify72.0ms (1.7%)

prune66.0ms (1.6%)

regimes250.0ms (5.9%)

bsearch1.0ms (0%)

simplify8.0ms (0.2%)

end0.0ms (0%)

sample898.0ms (21.3%)

Profiling