Details

analyze537.0ms (11.1%)

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)

sample19.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	22×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify375.0ms (7.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (370.0ms)

Iter	Nodes	Cost
0	5152	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

11.9b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (-.f64 y z) 1)
0.0b	(*.f64 x (+.f64 (-.f64 y z) 1))
11.2b	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

rewrite89.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`*-un-lft-identity_binary64_14059`
10×	`add-exp-log_binary64_14097` `add-cbrt-cube_binary64_14095` `add-sqr-sqrt_binary64_14081`
8×	`add-log-exp_binary64_14098` `add-cube-cbrt_binary64_14094`
5×	`pow1_binary64_14120` `associate-r_binary64_13999`
4×	`associate-*r/_binary64_14001` `distribute-lft-out_binary64_14010` `associate-+l+_binary64_13992`
3×	`times-frac_binary64_14065` `flip3-+_binary64_14062` `flip-+_binary64_14033` `associate-/r_binary64_14003` `associate-l*_binary64_14000` `cancel-sign-sub-inv_binary64_14025`
2×	`prod-exp_binary64_14108` `div-exp_binary64_14110` `cbrt-undiv_binary64_14093` `cbrt-unprod_binary64_14092` `associate-/l/_binary64_14006` `distribute-lft-out--_binary64_14011` `sum-log_binary64_14150`
1×	`frac-2neg_binary64_14070` `clear-num_binary64_14058` `div-inv_binary64_14056` `associate-/l_binary64_14004` `pow-prod-down_binary64_14130` `unswap-sqr_binary64_14027` `distribute-rgt-in_binary64_14009` `distribute-lft-in_binary64_14008` `-commutative_binary64_13990` `diff-log_binary64_14151` `associate-+l-_binary64_13994` `sub-neg_binary64_14052` `+-commutative_binary64_13989`

Counts

3 → 66

Calls

3 calls:

10.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
9.0ms	(*.f64 x (+.f64 (-.f64 y z) 1))
7.0ms	(+.f64 (-.f64 y z) 1)

Compiler

Compiled 1047 to 535 computations (48.9% saved)

series320.0ms (6.6%)

Error

2.0b

Counts

3 → 42

Calls

3 calls:

157.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
93.0ms	(*.f64 x (+.f64 (-.f64 y z) 1))
47.0ms	(+.f64 (-.f64 y z) 1)

Compiler

Compiled 932 to 611 computations (34.4% saved)

simplify64.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5061	1160

prune79.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	105	4	109

Error

Counts

109 → 4

Compiler

Compiled 1253 to 649 computations (48.2% saved)

localize6.0ms (0.1%)

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))
3.1b	(*.f64 (/.f64 x z) y)

rewrite71.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`add-sqr-sqrt_binary64_14081`
14×	`*-un-lft-identity_binary64_14059`
13×	`associate-l_binary64_14000`
12×	`add-cube-cbrt_binary64_14094`
10×	`add-log-exp_binary64_14098` `times-frac_binary64_14065`
8×	`add-exp-log_binary64_14097` `add-cbrt-cube_binary64_14095`
5×	`pow1_binary64_14120`
3×	`associate-r_binary64_13999` `cancel-sign-sub-inv_binary64_14025`
2×	`prod-exp_binary64_14108` `cbrt-unprod_binary64_14092` `unswap-sqr_binary64_14027` `associate-*l/_binary64_14002` `sum-log_binary64_14150` `diff-log_binary64_14151`
1×	`pow-prod-down_binary64_14130` `div-exp_binary64_14110` `cbrt-undiv_binary64_14093` `div-inv_binary64_14056` `*-commutative_binary64_13990` `frac-add_binary64_14067` `flip3-+_binary64_14062` `flip-+_binary64_14033` `+-commutative_binary64_13989` `flip3--_binary64_14063` `sub-neg_binary64_14052` `flip--_binary64_14034` `difference-of-squares_binary64_14028` `distribute-lft-out--_binary64_14011` `associate--l+_binary64_13996`

Counts

3 → 62

Calls

3 calls:

10.0ms	(-.f64 (+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y)) x)
7.0ms	(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y))
6.0ms	(*.f64 (/.f64 x z) y)

Compiler

Compiled 1200 to 286 computations (76.2% saved)

series443.0ms (9.2%)

Error

Counts

3 → 36

Calls

3 calls:

171.0ms	(-.f64 (+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y)) x)
155.0ms	(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y))
100.0ms	(*.f64 (/.f64 x z) y)

Compiler

Compiled 973 to 552 computations (43.3% saved)

simplify71.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4979	1145
1	4979	1145

prune60.0ms (1.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	98	4	102

Error

Counts

102 → 4

Compiler

Compiled 1338 to 452 computations (66.2% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 z (-.f64 (+.f64 y 1) z))
2.5b	(/.f64 x (/.f64 z (-.f64 (+.f64 y 1) z)))

rewrite181.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

162×	`times-frac_binary64_14065`
158×	`*-un-lft-identity_binary64_14059`
110×	`add-sqr-sqrt_binary64_14081`
78×	`add-cube-cbrt_binary64_14094`
32×	`distribute-lft-out--_binary64_14011`
30×	`associate-/r*_binary64_14003`
16×	`difference-of-squares_binary64_14028` `distribute-lft-out_binary64_14010`
11×	`associate-/r/_binary64_14005`
9×	`add-exp-log_binary64_14097` `add-cbrt-cube_binary64_14095`
6×	`div-inv_binary64_14056` `associate-/l*_binary64_14004`
5×	`flip3--_binary64_14063` `flip--_binary64_14034`
4×	`div-exp_binary64_14110` `cbrt-undiv_binary64_14093`
2×	`pow1_binary64_14120` `add-log-exp_binary64_14098` `frac-2neg_binary64_14070` `clear-num_binary64_14058`

Counts

2 → 155

Calls

2 calls:

14.0ms	(/.f64 x (/.f64 z (-.f64 (+.f64 y 1) z)))
8.0ms	(/.f64 z (-.f64 (+.f64 y 1) z))

Compiler

Compiled 3248 to 1813 computations (44.2% saved)

series316.0ms (6.6%)

Error

Counts

2 → 37

Calls

2 calls:

163.0ms	(/.f64 x (/.f64 z (-.f64 (+.f64 y 1) z)))
121.0ms	(/.f64 z (-.f64 (+.f64 y 1) z))

Compiler

Compiled 1607 to 1168 computations (27.3% saved)

simplify79.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5103	4555

prune162.0ms (3.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	192	0	192
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	192	4	196

Error

Counts

196 → 4

Compiler

Compiled 3596 to 1886 computations (47.6% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 (+.f64 y 1) z) z)
2.7b	(*.f64 x (/.f64 (-.f64 (+.f64 y 1) z) z))

rewrite97.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

59×	`*-un-lft-identity_binary64_14059`
43×	`add-sqr-sqrt_binary64_14081`
37×	`times-frac_binary64_14065`
24×	`add-cube-cbrt_binary64_14094`
22×	`associate-r_binary64_13999`
14×	`distribute-lft-out--_binary64_14011`
9×	`add-exp-log_binary64_14097` `add-cbrt-cube_binary64_14095`
7×	`difference-of-squares_binary64_14028` `distribute-lft-out_binary64_14010`
6×	`associate-/l*_binary64_14004`
4×	`pow1_binary64_14120`
3×	`associate-l_binary64_14000` `associate-/r*_binary64_14003`
2×	`div-exp_binary64_14110` `prod-exp_binary64_14108` `add-log-exp_binary64_14098` `cbrt-unprod_binary64_14092` `cbrt-undiv_binary64_14093` `unswap-sqr_binary64_14027` `div-inv_binary64_14056` `associate-/l/_binary64_14006`
1×	`pow-prod-down_binary64_14130` `associate-r/_binary64_14001` `-commutative_binary64_13990` `frac-2neg_binary64_14070` `div-sub_binary64_14064` `clear-num_binary64_14058` `flip3--_binary64_14063` `flip--_binary64_14034`

Counts

2 → 83

Calls

2 calls:

13.0ms	(*.f64 x (/.f64 (-.f64 (+.f64 y 1) z) z))
8.0ms	(/.f64 (-.f64 (+.f64 y 1) z) z)

Compiler

Compiled 1496 to 878 computations (41.3% saved)

series254.0ms (5.3%)

Error

Counts

2 → 27

Calls

2 calls:

154.0ms	(*.f64 x (/.f64 (-.f64 (+.f64 y 1) z) z))
86.0ms	(/.f64 (-.f64 (+.f64 y 1) z) z)

Compiler

Compiled 597 to 417 computations (30.2% saved)

simplify57.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5174	1620

prune78.0ms (1.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	110	4	114

Error

Counts

114 → 4

Compiler

Compiled 1561 to 908 computations (41.8% saved)

regimes301.0ms (6.3%)

Accuracy

Total 0.3b remaining (99.2%)

Threshold costs 0.3b (99.2%)

Compiler

Compiled 2010 to 1621 computations (19.4% saved)

bsearch2.0ms (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	55	78
1	55	78

end0.0ms (0%)

sample1.1s (23.5%)

Algorithm

1×

intervals

Results

245.0ms	8000×	body	128	valid
35.0ms	1062×	body	128	invalid

Compiler

Compiled 569 to 445 computations (21.8% saved)

Details

analyze537.0ms (11.1%)

sample19.0ms (0.4%)

simplify375.0ms (7.8%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite89.0ms (1.9%)

series320.0ms (6.6%)

simplify64.0ms (1.3%)

prune79.0ms (1.6%)

localize6.0ms (0.1%)

rewrite71.0ms (1.5%)

series443.0ms (9.2%)

simplify71.0ms (1.5%)

prune60.0ms (1.2%)

localize6.0ms (0.1%)

rewrite181.0ms (3.8%)

series316.0ms (6.6%)

simplify79.0ms (1.6%)

prune162.0ms (3.4%)

localize6.0ms (0.1%)

rewrite97.0ms (2%)

series254.0ms (5.3%)

simplify57.0ms (1.2%)

prune78.0ms (1.6%)

regimes301.0ms (6.3%)

bsearch2.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (23.5%)

Profiling