Details

analyze716.0ms (23.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5176	52
0	3	3
1	3	3

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
14%	85.8%	0.1%	7
22.6%	77.2%	0.1%	8
23.8%	74.5%	1.7%	9
40%	56.4%	3.7%	10
46.9%	48.7%	4.4%	11
48%	45.8%	6.2%	12
58.1%	32.2%	9.7%	13
62.1%	27.2%	10.6%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample17.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	42×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify378.0ms (12.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (373.0ms)

Iter	Nodes	Cost
0	5152	13

prune4.0ms (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

Error

9.9b

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) 1))
9.3b	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

rewrite22.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_17128`
9×	`add-cbrt-cube_binary64_17164` `add-exp-log_binary64_17166`
8×	`add-sqr-sqrt_binary64_17150`
6×	`add-cube-cbrt_binary64_17163`
5×	`associate-r_binary64_17068`
4×	`associate-*r/_binary64_17070` `pow1_binary64_17189`
3×	`times-frac_binary64_17134` `associate-/r_binary64_17072` `associate-l*_binary64_17069`
2×	`cbrt-undiv_binary64_17162` `cbrt-unprod_binary64_17161` `flip-+_binary64_17102` `prod-exp_binary64_17177` `distribute-lft-out_binary64_17079` `add-log-exp_binary64_17167` `associate-/l/_binary64_17075` `div-exp_binary64_17179` `flip3-+_binary64_17131`
1×	`distribute-rgt-in_binary64_17078` `clear-num_binary64_17127` `associate-/l_binary64_17073` `frac-2neg_binary64_17139` `unswap-sqr_binary64_17096` `-commutative_binary64_17059` `distribute-lft-out--_binary64_17080` `pow-prod-down_binary64_17199` `div-inv_binary64_17125` `distribute-lft-in_binary64_17077`

Counts

2 → 47

Calls

2 calls:

10.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
9.0ms	(*.f64 x (+.f64 (-.f64 y z) 1))

series69.0ms (2.2%)

Counts

2 → 6

Calls

2 calls:

40.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
28.0ms	(*.f64 x (+.f64 (-.f64 y z) 1))

simplify53.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5175	708

prune49.0ms (1.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	48	5	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	5	54

Error

Counts

54 → 5

Compiler

Compiled 788 to 394 computations (50% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite30.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_17150`
14×	`*-un-lft-identity_binary64_17128`
13×	`associate-l_binary64_17069`
12×	`add-cube-cbrt_binary64_17163`
10×	`times-frac_binary64_17134` `add-log-exp_binary64_17167`
8×	`add-cbrt-cube_binary64_17164` `add-exp-log_binary64_17166`
5×	`pow1_binary64_17189`
3×	`associate-r_binary64_17068` `cancel-sign-sub-inv_binary64_17094`
2×	`diff-log_binary64_17220` `cbrt-unprod_binary64_17161` `associate-*l/_binary64_17071` `prod-exp_binary64_17177` `unswap-sqr_binary64_17096` `sum-log_binary64_17219`
1×	`difference-of-squares_binary64_17097` `cbrt-undiv_binary64_17162` `flip-+_binary64_17102` `flip--_binary64_17103` `+-commutative_binary64_17058` `sub-neg_binary64_17121` `div-exp_binary64_17179` `*-commutative_binary64_17059` `distribute-lft-out--_binary64_17080` `flip3--_binary64_17132` `pow-prod-down_binary64_17199` `associate--l+_binary64_17065` `frac-add_binary64_17136` `flip3-+_binary64_17131` `div-inv_binary64_17125`

Counts

3 → 62

Calls

3 calls:

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

series82.0ms (2.7%)

Counts

3 → 9

Calls

3 calls:

30.0ms	(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y))
29.0ms	(-.f64 (+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y)) x)
22.0ms	(*.f64 (/.f64 x z) y)

simplify72.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4961	910
1	4961	910

prune50.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	72	4	76

Error

Counts

76 → 4

Compiler

Compiled 1130 to 407 computations (64% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 z (+.f64 (-.f64 y z) 1))
2.2b	(/.f64 x (/.f64 z (+.f64 (-.f64 y z) 1)))

rewrite36.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`*-un-lft-identity_binary64_17128`
138×	`times-frac_binary64_17134`
70×	`add-cube-cbrt_binary64_17163` `add-sqr-sqrt_binary64_17150`
32×	`distribute-lft-out_binary64_17079`
26×	`associate-/r*_binary64_17072`
16×	`distribute-lft-out--_binary64_17080`
11×	`associate-/r/_binary64_17074`
9×	`add-cbrt-cube_binary64_17164` `add-exp-log_binary64_17166`
6×	`associate-/l*_binary64_17073` `div-inv_binary64_17125`
5×	`flip-+_binary64_17102` `flip3-+_binary64_17131`
4×	`cbrt-undiv_binary64_17162` `div-exp_binary64_17179`
2×	`clear-num_binary64_17127` `pow1_binary64_17189` `frac-2neg_binary64_17139` `add-log-exp_binary64_17167`

Counts

2 → 139

Calls

2 calls:

12.0ms	(/.f64 x (/.f64 z (+.f64 (-.f64 y z) 1)))
10.0ms	(/.f64 z (+.f64 (-.f64 y z) 1))

series70.0ms (2.3%)

Counts

2 → 6

Calls

2 calls:

42.0ms	(/.f64 x (/.f64 z (+.f64 (-.f64 y z) 1)))
28.0ms	(/.f64 z (+.f64 (-.f64 y z) 1))

simplify99.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4954	3185
1	4954	3185

prune111.0ms (3.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	145	4	149

Error

Counts

149 → 4

Compiler

Compiled 2609 to 1152 computations (55.8% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (+.f64 (/.f64 x z) (*.f64 x (/.f64 y z))) x)
0.0b	(+.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
5.8b	(*.f64 x (/.f64 y z))

rewrite29.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_17150`
14×	`*-un-lft-identity_binary64_17128`
13×	`associate-r_binary64_17068`
12×	`add-cube-cbrt_binary64_17163`
10×	`times-frac_binary64_17134` `add-log-exp_binary64_17167`
8×	`add-cbrt-cube_binary64_17164` `add-exp-log_binary64_17166`
5×	`pow1_binary64_17189`
3×	`cancel-sign-sub-inv_binary64_17094` `associate-l_binary64_17069`
2×	`associate-*r/_binary64_17070` `diff-log_binary64_17220` `cbrt-unprod_binary64_17161` `prod-exp_binary64_17177` `unswap-sqr_binary64_17096` `sum-log_binary64_17219` `div-inv_binary64_17125`
1×	`difference-of-squares_binary64_17097` `cbrt-undiv_binary64_17162` `flip-+_binary64_17102` `flip--_binary64_17103` `distribute-lft-out_binary64_17079` `+-commutative_binary64_17058` `sub-neg_binary64_17121` `div-exp_binary64_17179` `*-commutative_binary64_17059` `distribute-lft-out--_binary64_17080` `flip3--_binary64_17132` `pow-prod-down_binary64_17199` `associate--l+_binary64_17065` `frac-add_binary64_17136` `flip3-+_binary64_17131`

Counts

3 → 63

Calls

3 calls:

10.0ms	(-.f64 (+.f64 (/.f64 x z) (*.f64 x (/.f64 y z))) x)
8.0ms	(*.f64 x (/.f64 y z))
7.0ms	(+.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))

series79.0ms (2.6%)

Counts

3 → 9

Calls

3 calls:

32.0ms	(+.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
29.0ms	(-.f64 (+.f64 (/.f64 x z) (*.f64 x (/.f64 y z))) x)
18.0ms	(*.f64 x (/.f64 y z))

simplify71.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5154	944

prune46.0ms (1.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	72	4	76

Error

Counts

76 → 4

Compiler

Compiled 1110 to 381 computations (65.7% saved)

regimes156.0ms (5.1%)

Accuracy

Total 1.1b remaining (99.8%)

Threshold costs 0b (0%)

Compiler

Compiled 1008 to 785 computations (22.1% saved)

bsearch1.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	70
1	53	70

end0.0ms (0%)

sample783.0ms (25.6%)

Algorithm

1×

intervals

Results

249.0ms	8000×	body	128	valid
31.0ms	1044×	body	128	invalid

Compiler

Compiled 317 to 234 computations (26.2% saved)

Details

analyze716.0ms (23.4%)

sample17.0ms (0.6%)

simplify378.0ms (12.4%)

prune4.0ms (0.1%)

localize6.0ms (0.2%)

rewrite22.0ms (0.7%)

series69.0ms (2.2%)

simplify53.0ms (1.8%)

prune49.0ms (1.6%)

localize6.0ms (0.2%)

rewrite30.0ms (1%)

series82.0ms (2.7%)

simplify72.0ms (2.4%)

prune50.0ms (1.6%)

localize6.0ms (0.2%)

rewrite36.0ms (1.2%)

series70.0ms (2.3%)

simplify99.0ms (3.2%)

prune111.0ms (3.6%)

localize9.0ms (0.3%)

rewrite29.0ms (1%)

series79.0ms (2.6%)

simplify71.0ms (2.3%)

prune46.0ms (1.5%)

regimes156.0ms (5.1%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample783.0ms (25.6%)

Profiling