Details

analyze667.0ms (17.2%)

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
9.4%	90.4%	0.2%	10
12.5%	85.6%	1.9%	11
19.8%	76.5%	3.7%	12
26.1%	64.4%	9.6%	13
31.7%	54.5%	13.7%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample19.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
2.0ms	57×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify219.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (122.0ms)

Iter	Nodes	Cost
0	1582	13
1	1582	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

Error

0.0b

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

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_21242`
12×	`cancel-sign-sub-inv_binary64_21186` `*-un-lft-identity_binary64_21220`
8×	`distribute-lft-in_binary64_21169` `associate-+r+_binary64_21152` `add-cube-cbrt_binary64_21255` `distribute-rgt-in_binary64_21170`
6×	`flip3--_binary64_21224` `flip--_binary64_21195`
5×	`associate-r_binary64_21160` `associate-l_binary64_21161`
4×	`frac-times_binary64_21230` `pow1_binary64_21281` `add-log-exp_binary64_21259` `add-cbrt-cube_binary64_21256` `add-exp-log_binary64_21258` `sub-neg_binary64_21213`
2×	`associate-l/_binary64_21163` `associate-r/_binary64_21162` `difference-of-squares_binary64_21189` `distribute-lft-out--_binary64_21172`
1×	`flip3-+_binary64_21223` `*-commutative_binary64_21151` `prod-exp_binary64_21269` `pow-prod-down_binary64_21291` `sum-log_binary64_21311` `cbrt-unprod_binary64_21253` `flip-+_binary64_21194` `+-commutative_binary64_21150` `unswap-sqr_binary64_21188`

Counts

2 → 57

Calls

2 calls:

10.0ms	(*.f64 (-.f64 y z) (-.f64 t x))
5.0ms	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))

series93.0ms (2.4%)

Counts

2 → 6

Calls

2 calls:

55.0ms	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
37.0ms	(*.f64 (-.f64 y z) (-.f64 t x))

simplify85.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4887	986
1	4887	986

prune52.0ms (1.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	59	4	63
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	4	64

Error

Counts

64 → 4

Compiler

Compiled 1078 to 281 computations (73.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite36.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_21242`
18×	`*-un-lft-identity_binary64_21220`
12×	`cancel-sign-sub-inv_binary64_21186` `add-cube-cbrt_binary64_21255`
11×	`add-log-exp_binary64_21259`
9×	`associate-+r+_binary64_21152`
8×	`associate-r_binary64_21160` `distribute-lft-in_binary64_21169` `pow1_binary64_21281` `add-cbrt-cube_binary64_21256` `add-exp-log_binary64_21258` `distribute-rgt-in_binary64_21170` `associate-l_binary64_21161`
6×	`flip3--_binary64_21224` `associate-l/_binary64_21163` `associate-r/_binary64_21162` `flip--_binary64_21195`
4×	`sub-neg_binary64_21213` `sum-log_binary64_21311` `frac-add_binary64_21228`
2×	`flip3-+_binary64_21223` `*-commutative_binary64_21151` `prod-exp_binary64_21269` `pow-prod-down_binary64_21291` `cbrt-unprod_binary64_21253` `difference-of-squares_binary64_21189` `distribute-lft-out--_binary64_21172` `flip-+_binary64_21194` `+-commutative_binary64_21150` `unswap-sqr_binary64_21188`
1×	`distribute-lft-out_binary64_21171`

Counts

4 → 89

Calls

4 calls:

8.0ms	(+.f64 (.f64 (-.f64 y z) t) (.f64 x (-.f64 z y)))
8.0ms	(+.f64 x (+.f64 (.f64 (-.f64 y z) t) (.f64 x (-.f64 z y))))
7.0ms	(*.f64 x (-.f64 z y))
6.0ms	(*.f64 (-.f64 y z) t)

series165.0ms (4.2%)

Counts

4 → 12

Calls

4 calls:

54.0ms	(+.f64 x (+.f64 (.f64 (-.f64 y z) t) (.f64 x (-.f64 z y))))
51.0ms	(+.f64 (.f64 (-.f64 y z) t) (.f64 x (-.f64 z y)))
31.0ms	(*.f64 x (-.f64 z y))
29.0ms	(*.f64 (-.f64 y z) t)

simplify62.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4986	1603
1	4986	1603

prune73.0ms (1.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	101	4	105

Error

Counts

105 → 4

Compiler

Compiled 2004 to 423 computations (78.9% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (.f64 (-.f64 y z) (-.f64 (.f64 t t) (*.f64 x x))) (+.f64 t x)))
1.9b	(-.f64 (.f64 t t) (.f64 x x))
4.9b	(.f64 (-.f64 y z) (-.f64 (.f64 t t) (*.f64 x x)))
19.3b	(/.f64 (.f64 (-.f64 y z) (-.f64 (.f64 t t) (*.f64 x x))) (+.f64 t x))

rewrite41.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64_21220`
13×	`flip3--_binary64_21224` `flip--_binary64_21195`
12×	`add-sqr-sqrt_binary64_21242`
11×	`add-cbrt-cube_binary64_21256` `add-exp-log_binary64_21258`
8×	`frac-times_binary64_21230` `add-log-exp_binary64_21259` `associate-/l/_binary64_21167` `add-cube-cbrt_binary64_21255`
6×	`pow1_binary64_21281`
5×	`associate-l_binary64_21161`
4×	`associate-r_binary64_21160` `associate-l/_binary64_21163` `associate-r/_binary64_21162` `times-frac_binary64_21226` `associate-/r*_binary64_21164`
3×	`cancel-sign-sub-inv_binary64_21186` `distribute-lft-out_binary64_21171` `sub-neg_binary64_21213` `difference-of-squares_binary64_21189`
2×	`div-exp_binary64_21271` `distribute-lft-in_binary64_21169` `flip3-+_binary64_21223` `prod-exp_binary64_21269` `cbrt-undiv_binary64_21254` `distribute-rgt-in_binary64_21170` `associate-/r/_binary64_21166` `cbrt-unprod_binary64_21253` `flip-+_binary64_21194`
1×	`-commutative_binary64_21151` `diff-log_binary64_21312` `div-inv_binary64_21217` `associate-/l_binary64_21165` `pow-prod-down_binary64_21291` `sum-log_binary64_21311` `clear-num_binary64_21219` `distribute-lft-out--_binary64_21172` `+-commutative_binary64_21150` `frac-2neg_binary64_21231` `unswap-sqr_binary64_21188`

Counts

4 → 91

Calls

4 calls:

13.0ms	(/.f64 (.f64 (-.f64 y z) (-.f64 (.f64 t t) (*.f64 x x))) (+.f64 t x))
9.0ms	(.f64 (-.f64 y z) (-.f64 (.f64 t t) (*.f64 x x)))
7.0ms	(+.f64 x (/.f64 (.f64 (-.f64 y z) (-.f64 (.f64 t t) (*.f64 x x))) (+.f64 t x)))
4.0ms	(-.f64 (.f64 t t) (.f64 x x))

series349.0ms (9%)

Counts

4 → 12

Calls

4 calls:

125.0ms	(/.f64 (.f64 (-.f64 y z) (-.f64 (.f64 t t) (*.f64 x x))) (+.f64 t x))
122.0ms	(+.f64 x (/.f64 (.f64 (-.f64 y z) (-.f64 (.f64 t t) (*.f64 x x))) (+.f64 t x)))
78.0ms	(.f64 (-.f64 y z) (-.f64 (.f64 t t) (*.f64 x x)))
23.0ms	(-.f64 (.f64 t t) (.f64 x x))

simplify70.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4964	2024
1	4964	2024

prune88.0ms (2.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	103	4	107

Error

Counts

107 → 4

Compiler

Compiled 2365 to 627 computations (73.5% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 1 (/.f64 1 (*.f64 (-.f64 y z) (-.f64 t x)))))
0.0b	(*.f64 (-.f64 y z) (-.f64 t x))
0.3b	(/.f64 1 (*.f64 (-.f64 y z) (-.f64 t x)))
0.5b	(/.f64 1 (/.f64 1 (*.f64 (-.f64 y z) (-.f64 t x))))

rewrite71.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`add-exp-log_binary64_21258` `times-frac_binary64_21226`
41×	`associate-/r/_binary64_21166` `*-un-lft-identity_binary64_21220`
40×	`add-sqr-sqrt_binary64_21242`
36×	`flip3--_binary64_21224` `flip--_binary64_21195`
34×	`add-cube-cbrt_binary64_21255`
30×	`div-exp_binary64_21271`
24×	`frac-times_binary64_21230`
20×	`add-cbrt-cube_binary64_21256`
16×	`associate-/r*_binary64_21164`
15×	`1-exp_binary64_21264` `rec-exp_binary64_21270`
13×	`pow1_binary64_21281` `prod-exp_binary64_21269`
12×	`associate-l/_binary64_21163` `associate-r/_binary64_21162`
8×	`pow-flip_binary64_21294`
7×	`div-inv_binary64_21217` `cbrt-undiv_binary64_21254`
6×	`add-log-exp_binary64_21259` `cancel-sign-sub-inv_binary64_21186` `associate-/l*_binary64_21165`
5×	`associate-r_binary64_21160` `associate-l_binary64_21161`
4×	`distribute-lft-in_binary64_21169` `distribute-rgt-in_binary64_21170`
3×	`inv-pow_binary64_21305` `pow-prod-down_binary64_21291` `cbrt-unprod_binary64_21253`
2×	`distribute-lft-out_binary64_21171` `sub-neg_binary64_21213` `clear-num_binary64_21219` `difference-of-squares_binary64_21189` `distribute-lft-out--_binary64_21172` `frac-2neg_binary64_21231`
1×	`remove-double-div_binary64_21196` `flip3-+_binary64_21223` `*-commutative_binary64_21151` `sum-log_binary64_21311` `flip-+_binary64_21194` `+-commutative_binary64_21150` `unswap-sqr_binary64_21188`

Counts

4 → 191

Calls

4 calls:

16.0ms	(+.f64 x (/.f64 1 (/.f64 1 (*.f64 (-.f64 y z) (-.f64 t x)))))
14.0ms	(/.f64 1 (/.f64 1 (*.f64 (-.f64 y z) (-.f64 t x))))
10.0ms	(*.f64 (-.f64 y z) (-.f64 t x))
10.0ms	(/.f64 1 (*.f64 (-.f64 y z) (-.f64 t x)))

series419.0ms (10.8%)

Counts

4 → 12

Calls

4 calls:

295.0ms	(/.f64 1 (*.f64 (-.f64 y z) (-.f64 t x)))
53.0ms	(+.f64 x (/.f64 1 (/.f64 1 (*.f64 (-.f64 y z) (-.f64 t x)))))
38.0ms	(/.f64 1 (/.f64 1 (*.f64 (-.f64 y z) (-.f64 t x))))
33.0ms	(*.f64 (-.f64 y z) (-.f64 t x))

simplify86.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5610	3651

prune145.0ms (3.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	203	0	203
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	203	4	207

Error

Counts

207 → 4

Compiler

Compiled 3785 to 1292 computations (65.9% saved)

regimes200.0ms (5.1%)

Accuracy

Total 0.0b remaining (85.5%)

Threshold costs 0.0b (85.5%)

Compiler

Compiled 1752 to 1402 computations (20% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	19
1	33	19

end0.0ms (0%)

sample886.0ms (22.8%)

Algorithm

1×

intervals

Results

238.0ms	8000×	body	128	valid
77.0ms	2485×	body	128	invalid

Compiler

Compiled 301 to 238 computations (20.9% saved)

Details

analyze667.0ms (17.2%)

sample19.0ms (0.5%)

simplify219.0ms (5.6%)

prune2.0ms (0%)

localize6.0ms (0.2%)

rewrite19.0ms (0.5%)

series93.0ms (2.4%)

simplify85.0ms (2.2%)

prune52.0ms (1.3%)

localize9.0ms (0.2%)

rewrite36.0ms (0.9%)

series165.0ms (4.2%)

simplify62.0ms (1.6%)

prune73.0ms (1.9%)

localize11.0ms (0.3%)

rewrite41.0ms (1.1%)

series349.0ms (9%)

simplify70.0ms (1.8%)

prune88.0ms (2.3%)

localize9.0ms (0.2%)

rewrite71.0ms (1.8%)

series419.0ms (10.8%)

simplify86.0ms (2.2%)

prune145.0ms (3.7%)

regimes200.0ms (5.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample886.0ms (22.8%)

Profiling