Details

analyze433.0ms (9.2%)

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
9.4%	90.5%	0.1%	7
14%	85.8%	0.1%	8
21.1%	78%	0.9%	9
37.3%	60.3%	2.5%	10
39.7%	56.1%	4.2%	11
45.6%	48.7%	5.7%	12
55.9%	35.1%	8.9%	13
57.6%	32.1%	10.3%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample21.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
1.0ms	37×	body	128	invalid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify438.0ms (9.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (346.0ms)

Iter	Nodes	Cost
0	5659	13

prune2.0ms (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: 8.6b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (-.f64 z x)))
0.0b	(*.f64 y (-.f64 z x))
8.1b	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

rewrite23.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_21242`
19×	`*-un-lft-identity_binary64_21220`
17×	`add-cube-cbrt_binary64_21255`
12×	`cancel-sign-sub-inv_binary64_21186`
9×	`times-frac_binary64_21226`
8×	`distribute-lft-in_binary64_21169` `associate-+r+_binary64_21152` `distribute-rgt-in_binary64_21170`
7×	`add-cbrt-cube_binary64_21256` `add-exp-log_binary64_21258`
5×	`associate-r_binary64_21160` `pow1_binary64_21281` `add-log-exp_binary64_21259`
4×	`sub-neg_binary64_21213`
3×	`associate-/r_binary64_21164` `associate-/l_binary64_21165` `associate-l_binary64_21161`
2×	`associate-/l/_binary64_21167` `flip3-+_binary64_21223` `associate-*r/_binary64_21162` `flip-+_binary64_21194`
1×	`div-exp_binary64_21271` `flip3--_binary64_21224` `*-commutative_binary64_21151` `prod-exp_binary64_21269` `div-inv_binary64_21217` `cbrt-undiv_binary64_21254` `flip--_binary64_21195` `pow-prod-down_binary64_21291` `sum-log_binary64_21311` `clear-num_binary64_21219` `cbrt-unprod_binary64_21253` `difference-of-squares_binary64_21189` `distribute-lft-out--_binary64_21172` `+-commutative_binary64_21150` `frac-2neg_binary64_21231` `unswap-sqr_binary64_21188`

Counts

3 → 78

Calls

3 calls:

8.0ms	(*.f64 y (-.f64 z x))
6.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
5.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

series395.0ms (8.4%)

Counts

3 → 50

Calls

3 calls:

172.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
131.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
92.0ms	(*.f64 y (-.f64 z x))

Compiler

Compiled 745 to 584 computations (21.6% saved)

simplify59.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5074	1575

prune94.0ms (2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	119	9	128
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	120	9	129

Merged error: 1.2b

Counts

129 → 9

Compiler

Compiled 1731 to 419 computations (75.8% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z))
2.7b	(/.f64 (-.f64 x (*.f64 x y)) z)

rewrite15.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64_21220`
10×	`add-cube-cbrt_binary64_21255` `add-sqr-sqrt_binary64_21242`
9×	`times-frac_binary64_21226`
4×	`add-log-exp_binary64_21259` `add-cbrt-cube_binary64_21256` `add-exp-log_binary64_21258`
3×	`associate-/r_binary64_21164` `associate-/l_binary64_21165`
2×	`pow1_binary64_21281` `associate-/l/_binary64_21167` `div-sub_binary64_21225`
1×	`div-exp_binary64_21271` `flip3--_binary64_21224` `distribute-lft-out_binary64_21171` `flip3-+_binary64_21223` `associate-+r-_binary64_21154` `div-inv_binary64_21217` `cbrt-undiv_binary64_21254` `flip--_binary64_21195` `sum-log_binary64_21311` `clear-num_binary64_21219` `flip-+_binary64_21194` `+-commutative_binary64_21150` `frac-2neg_binary64_21231`

Counts

2 → 43

Calls

2 calls:

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

series309.0ms (6.6%)

Counts

2 → 29

Calls

2 calls:

180.0ms	(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z))
129.0ms	(/.f64 (-.f64 x (*.f64 x y)) z)

Compiler

Compiled 443 to 354 computations (20.1% saved)

simplify58.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5132	1039

prune50.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	70	2	72
Fresh	4	4	8
Picked	0	1	1
Done	0	0	0
Total	74	7	81

Merged error: 0.0b

Counts

81 → 7

Compiler

Compiled 1023 to 264 computations (74.2% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 x z) (*.f64 y (/.f64 x z)))
0.0b	(+.f64 y (-.f64 (/.f64 x z) (*.f64 y (/.f64 x z))))
3.0b	(*.f64 y (/.f64 x z))

rewrite28.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64_21220` `add-sqr-sqrt_binary64_21242`
13×	`associate-r_binary64_21160`
11×	`add-cube-cbrt_binary64_21255` `times-frac_binary64_21226`
10×	`add-log-exp_binary64_21259`
8×	`add-cbrt-cube_binary64_21256` `add-exp-log_binary64_21258`
5×	`pow1_binary64_21281`
3×	`associate-r/_binary64_21162` `associate-l*_binary64_21161`
2×	`distribute-rgt-out--_binary64_21174` `associate-+r+_binary64_21152` `cancel-sign-sub-inv_binary64_21186` `sub-neg_binary64_21213` `diff-log_binary64_21312` `prod-exp_binary64_21269` `sum-log_binary64_21311` `cbrt-unprod_binary64_21253` `unswap-sqr_binary64_21188`
1×	`frac-sub_binary64_21229` `div-exp_binary64_21271` `flip3--_binary64_21224` `distribute-lft-out_binary64_21171` `flip3-+_binary64_21223` `*-commutative_binary64_21151` `associate-+r-_binary64_21154` `div-inv_binary64_21217` `cbrt-undiv_binary64_21254` `flip--_binary64_21195` `pow-prod-down_binary64_21291` `flip-+_binary64_21194` `+-commutative_binary64_21150` `sub-div_binary64_21227`

Counts

3 → 64

Calls

3 calls:

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

series423.0ms (9%)

Counts

3 → 38

Calls

3 calls:

176.0ms	(+.f64 y (-.f64 (/.f64 x z) (*.f64 y (/.f64 x z))))
144.0ms	(-.f64 (/.f64 x z) (*.f64 y (/.f64 x z)))
103.0ms	(*.f64 y (/.f64 x z))

Compiler

Compiled 665 to 516 computations (22.4% saved)

simplify55.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5014	1204

prune71.0ms (1.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	102	7	109

Merged error: 0b

Counts

109 → 7

Compiler

Compiled 1436 to 502 computations (65% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.1b	(.f64 y (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

rewrite24.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64_21258`
14×	`add-cbrt-cube_binary64_21256`
12×	`add-sqr-sqrt_binary64_21242`
9×	`add-cube-cbrt_binary64_21255` `prod-exp_binary64_21269` `cbrt-prod_binary64_21251` `cbrt-unprod_binary64_21253` `*-un-lft-identity_binary64_21220`
6×	`pow1_binary64_21281`
5×	`associate-r_binary64_21160`
4×	`div-exp_binary64_21271` `add-log-exp_binary64_21259` `cbrt-undiv_binary64_21254`
3×	`pow1/3_binary64_21302` `associate-l_binary64_21161`
2×	`times-frac_binary64_21226` `unswap-sqr_binary64_21188`
1×	`-commutative_binary64_21151` `associate-r/_binary64_21162` `div-inv_binary64_21217` `pow-prod-down_binary64_21291`

Counts

4 → 63

Calls

4 calls:

13.0ms	(.f64 y (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series800.0ms (17%)

Counts

4 → 18

Calls

4 calls:

528.0ms	(.f64 y (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
92.0ms	(cbrt.f64 x)
90.0ms	(cbrt.f64 x)
89.0ms	(cbrt.f64 x)

Compiler

Compiled 1004 to 734 computations (26.9% saved)

simplify68.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5267	852

prune79.0ms (1.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	81	7	88

Merged error: 0b

Counts

88 → 7

Compiler

Compiled 2179 to 658 computations (69.8% saved)

regimes236.0ms (5%)

Compiler: Compiled 2212 to 1334 computations (39.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	13
1	21	13

end0.0ms (0%)

sample978.0ms (20.8%)

Algorithm

1×

intervals

Results

267.0ms	8000×	body	128	valid
33.0ms	1044×	body	128	invalid

Compiler

Compiled 554 to 340 computations (38.6% saved)

Details

analyze433.0ms (9.2%)

sample21.0ms (0.4%)

simplify438.0ms (9.3%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite23.0ms (0.5%)

series395.0ms (8.4%)

simplify59.0ms (1.3%)

prune94.0ms (2%)

localize6.0ms (0.1%)

rewrite15.0ms (0.3%)

series309.0ms (6.6%)

simplify58.0ms (1.2%)

prune50.0ms (1.1%)

localize6.0ms (0.1%)

rewrite28.0ms (0.6%)

series423.0ms (9%)

simplify55.0ms (1.2%)

prune71.0ms (1.5%)

localize20.0ms (0.4%)

rewrite24.0ms (0.5%)

series800.0ms (17%)

simplify68.0ms (1.4%)

prune79.0ms (1.7%)

regimes236.0ms (5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample978.0ms (20.8%)

Profiling