Details

analyze683.0ms (17.3%)

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)

sample28.0ms (0.7%)

Algorithm

1×

intervals

Results

12.0ms	243×	body	128	valid
1.0ms	20×	body	128	invalid
1.0ms	4×	body	1024	valid
1.0ms	5×	body	512	valid
0.0ms	4×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify139.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	31	13
1	31	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: 0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_17150` `*-un-lft-identity_binary64_17128`
4×	`add-cube-cbrt_binary64_17163` `associate-r_binary64_17068` `add-cbrt-cube_binary64_17164` `add-exp-log_binary64_17166` `pow1_binary64_17189` `add-log-exp_binary64_17167`
3×	`associate-l_binary64_17069`
2×	`associate-*r/_binary64_17070` `distribute-rgt-in_binary64_17078` `flip-+_binary64_17102` `associate-+l+_binary64_17061` `flip3-+_binary64_17131` `distribute-lft-in_binary64_17077`
1×	`cbrt-unprod_binary64_17161` `prod-exp_binary64_17177` `distribute-lft-out_binary64_17079` `unswap-sqr_binary64_17096` `+-commutative_binary64_17058` `*-commutative_binary64_17059` `sum-log_binary64_17219` `pow-prod-down_binary64_17199`

Counts

2 → 36

Calls

2 calls:

7.0ms	(*.f64 x (+.f64 y z))
6.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))

series72.0ms (1.8%)

Counts

2 → 6

Calls

2 calls:

38.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
34.0ms	(*.f64 x (+.f64 y z))

simplify108.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	5032	518

prune64.0ms (1.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	3	43

Merged error: 0.0b

Counts

43 → 3

Compiler

Compiled 636 to 278 computations (56.3% saved)

localize12.0ms (0.3%)

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))

rewrite24.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_17150` `*-un-lft-identity_binary64_17128`
4×	`add-cube-cbrt_binary64_17163` `associate-r_binary64_17068` `add-cbrt-cube_binary64_17164` `add-exp-log_binary64_17166` `pow1_binary64_17189` `add-log-exp_binary64_17167`
3×	`associate-l_binary64_17069`
2×	`associate-+r+_binary64_17060` `associate-*r/_binary64_17070` `distribute-rgt-in_binary64_17078` `flip-+_binary64_17102` `flip3-+_binary64_17131` `distribute-lft-in_binary64_17077`
1×	`cbrt-unprod_binary64_17161` `prod-exp_binary64_17177` `distribute-lft-out_binary64_17079` `unswap-sqr_binary64_17096` `+-commutative_binary64_17058` `*-commutative_binary64_17059` `sum-log_binary64_17219` `pow-prod-down_binary64_17199`

Counts

2 → 36

Calls

2 calls:

12.0ms	(*.f64 z (+.f64 x 5))
8.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 x 5)))

series70.0ms (1.8%)

Counts

2 → 6

Calls

2 calls:

36.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 x 5)))
35.0ms	(*.f64 z (+.f64 x 5))

simplify111.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4956	518
1	4956	518

prune58.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	40	5	45

Merged error: 0.0b

Counts

45 → 5

Compiler

Compiled 664 to 369 computations (44.4% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.8b	(cbrt.f64 (+.f64 x 5))
0.8b	(cbrt.f64 (+.f64 x 5))
0.8b	(cbrt.f64 (+.f64 x 5))
0.8b	(*.f64 (cbrt.f64 (+.f64 x 5)) (cbrt.f64 (+.f64 x 5)))

rewrite55.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64_17159`
35×	`*-un-lft-identity_binary64_17128`
23×	`add-sqr-sqrt_binary64_17150`
18×	`cbrt-div_binary64_17160`
15×	`add-cube-cbrt_binary64_17163`
11×	`pow1_binary64_17189`
9×	`pow1/3_binary64_17210` `flip-+_binary64_17102` `distribute-lft-out_binary64_17079` `swap-sqr_binary64_17095` `flip3-+_binary64_17131`
7×	`associate-r_binary64_17068` `associate-l_binary64_17069`
6×	`add-exp-log_binary64_17166`
4×	`add-cbrt-cube_binary64_17164` `frac-times_binary64_17138` `add-log-exp_binary64_17167` `unswap-sqr_binary64_17096`
2×	`associate-r/_binary64_17070` `associate-l/_binary64_17071` `pow-sqr_binary64_17101` `pow-prod-down_binary64_17199` `pow-prod-up_binary64_17198`
1×	`cbrt-unprod_binary64_17161` `prod-exp_binary64_17177` `*-commutative_binary64_17059` `pow2_binary64_17209` `pow-plus_binary64_17191`

Counts

4 → 95

Calls

4 calls:

19.0ms	(*.f64 (cbrt.f64 (+.f64 x 5)) (cbrt.f64 (+.f64 x 5)))
6.0ms	(cbrt.f64 (+.f64 x 5))
6.0ms	(cbrt.f64 (+.f64 x 5))
6.0ms	(cbrt.f64 (+.f64 x 5))

series166.0ms (4.2%)

Counts

4 → 12

Calls

4 calls:

52.0ms	(*.f64 (cbrt.f64 (+.f64 x 5)) (cbrt.f64 (+.f64 x 5)))
43.0ms	(cbrt.f64 (+.f64 x 5))
36.0ms	(cbrt.f64 (+.f64 x 5))
34.0ms	(cbrt.f64 (+.f64 x 5))

simplify187.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (153.0ms)

Iter	Nodes	Cost
0	4882	1516
1	4882	1516

prune197.0ms (5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	107	5	112

Merged error: 0b

Counts

112 → 5

Compiler

Compiled 2775 to 1935 computations (30.3% saved)

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 x x) 25)
0.0b	(+.f64 (.f64 y x) (/.f64 (.f64 z (-.f64 (*.f64 x x) 25)) (-.f64 x 5)))
4.7b	(.f64 z (-.f64 (.f64 x x) 25))
6.8b	(/.f64 (.f64 z (-.f64 (.f64 x x) 25)) (-.f64 x 5))

rewrite53.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_17150`
15×	`*-un-lft-identity_binary64_17128`
11×	`add-cube-cbrt_binary64_17163` `add-cbrt-cube_binary64_17164` `add-exp-log_binary64_17166`
9×	`cancel-sign-sub-inv_binary64_17094`
8×	`add-log-exp_binary64_17167`
6×	`pow1_binary64_17189`
5×	`times-frac_binary64_17134` `associate-/r*_binary64_17072`
4×	`difference-of-squares_binary64_17097` `associate-r/_binary64_17070` `distribute-rgt-in_binary64_17078` `associate-r*_binary64_17068` `flip--_binary64_17103` `flip3--_binary64_17132` `distribute-lft-in_binary64_17077`
3×	`sub-neg_binary64_17121` `associate-l_binary64_17069`
2×	`cbrt-undiv_binary64_17162` `associate-/r/_binary64_17074` `cbrt-unprod_binary64_17161` `prod-exp_binary64_17177` `associate-/l/_binary64_17075` `div-exp_binary64_17179` `distribute-lft-out--_binary64_17080`
1×	`clear-num_binary64_17127` `diff-log_binary64_17220` `flip-+_binary64_17102` `associate-/l_binary64_17073` `frac-2neg_binary64_17139` `unswap-sqr_binary64_17096` `+-commutative_binary64_17058` `-commutative_binary64_17059` `sum-log_binary64_17219` `pow-prod-down_binary64_17199` `flip3-+_binary64_17131` `div-inv_binary64_17125`

Counts

4 → 84

Calls

4 calls:

19.0ms	(/.f64 (.f64 z (-.f64 (.f64 x x) 25)) (-.f64 x 5))
11.0ms	(+.f64 (.f64 y x) (/.f64 (.f64 z (-.f64 (*.f64 x x) 25)) (-.f64 x 5)))
8.0ms	(.f64 z (-.f64 (.f64 x x) 25))
5.0ms	(-.f64 (*.f64 x x) 25)

series279.0ms (7.1%)

Counts

4 → 12

Calls

4 calls:

103.0ms	(+.f64 (.f64 y x) (/.f64 (.f64 z (-.f64 (*.f64 x x) 25)) (-.f64 x 5)))
91.0ms	(/.f64 (.f64 z (-.f64 (.f64 x x) 25)) (-.f64 x 5))
42.0ms	(.f64 z (-.f64 (.f64 x x) 25))
42.0ms	(-.f64 (*.f64 x x) 25)

simplify73.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5018	1478

prune136.0ms (3.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	96	5	101

Merged error: 0b

Counts

101 → 5

Compiler

Compiled 1886 to 981 computations (48% saved)

regimes215.0ms (5.4%)

Compiler: Compiled 1276 to 1019 computations (20.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms (0%)

sample1.2s (29.3%)

Algorithm

1×

intervals

Results

349.0ms	7696×	body	128	valid
29.0ms	666×	body	128	invalid
25.0ms	163×	body	1024	valid
11.0ms	98×	body	512	valid
4.0ms	43×	body	256	valid

Compiler

Compiled 326 to 262 computations (19.6% saved)

Details

analyze683.0ms (17.3%)

sample28.0ms (0.7%)

simplify139.0ms (3.5%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite15.0ms (0.4%)

series72.0ms (1.8%)

simplify108.0ms (2.7%)

prune64.0ms (1.6%)

localize12.0ms (0.3%)

rewrite24.0ms (0.6%)

series70.0ms (1.8%)

simplify111.0ms (2.8%)

prune58.0ms (1.5%)

localize13.0ms (0.3%)

rewrite55.0ms (1.4%)

series166.0ms (4.2%)

simplify187.0ms (4.7%)

prune197.0ms (5%)

localize20.0ms (0.5%)

rewrite53.0ms (1.4%)

series279.0ms (7.1%)

simplify73.0ms (1.9%)

prune136.0ms (3.4%)

regimes215.0ms (5.4%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.2s (29.3%)

Profiling