Details

analyze1.2s (16%)

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
3.1%	96.7%	0.2%	8
17.2%	82.7%	0.2%	9
21.8%	78%	0.2%	10
30%	68.8%	1.2%	11
31.8%	65.3%	2.9%	12
40.1%	55.3%	4.6%	13
44.5%	50.1%	5.4%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample39.0ms (0.5%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
4.0ms	69×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify264.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	734	13
1	734	13

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.9b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize21.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
5.7b	(*.f64 (/.f64 x y) (-.f64 z t))

rewrite48.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_12376`
16×	`*-un-lft-identity_binary64_12354`
14×	`add-cube-cbrt_binary64_12389`
13×	`associate-l_binary64_12295`
12×	`cancel-sign-sub-inv_binary64_12320`
10×	`times-frac_binary64_12360`
8×	`associate-+l+_binary64_12287` `distribute-lft-in_binary64_12303` `distribute-rgt-in_binary64_12304`
7×	`add-cbrt-cube_binary64_12390` `add-exp-log_binary64_12392`
5×	`associate-r_binary64_12294`
4×	`add-log-exp_binary64_12393` `pow1_binary64_12415` `sub-neg_binary64_12347`
2×	`flip--_binary64_12329` `frac-times_binary64_12364` `cbrt-unprod_binary64_12387` `prod-exp_binary64_12403` `associate-*r/_binary64_12296` `flip3--_binary64_12358` `unswap-sqr_binary64_12322`
1×	`pow-prod-down_binary64_12425` `div-inv_binary64_12351` `cbrt-undiv_binary64_12388` `distribute-lft-out--_binary64_12306` `difference-of-squares_binary64_12323` `associate-l/_binary64_12297` `sum-log_binary64_12445` `flip-+_binary64_12328` `div-exp_binary64_12405` `+-commutative_binary64_12284` `flip3-+_binary64_12357` `-commutative_binary64_12285`

Counts

2 → 65

Calls

2 calls:

20.0ms	(*.f64 (/.f64 x y) (-.f64 z t))
18.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)

series189.0ms (2.4%)

Counts

2 → 6

Calls

2 calls:

116.0ms	(*.f64 (/.f64 x y) (-.f64 z t))
72.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)

simplify120.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	5067	1022

prune118.0ms (1.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	63	8	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	9	72

Merged error: 0.0b

Counts

72 → 9

Compiler

Compiled 1212 to 305 computations (74.8% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

5.7b	(*.f64 (/.f64 x y) (-.f64 z t))
6.2b	(cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t)))
6.2b	(cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t)))
6.2b	(cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t)))

rewrite76.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_12376`
16×	`*-un-lft-identity_binary64_12354`
15×	`cbrt-div_binary64_12386`
14×	`add-cube-cbrt_binary64_12389`
13×	`associate-l_binary64_12295`
10×	`times-frac_binary64_12360`
9×	`add-cbrt-cube_binary64_12390` `add-exp-log_binary64_12392`
8×	`flip--_binary64_12329` `frac-times_binary64_12364` `associate-*r/_binary64_12296` `flip3--_binary64_12358`
6×	`pow1_binary64_12415` `cancel-sign-sub-inv_binary64_12320`
5×	`associate-r_binary64_12294`
4×	`add-log-exp_binary64_12393` `associate-*l/_binary64_12297` `distribute-lft-in_binary64_12303` `distribute-rgt-in_binary64_12304`
3×	`pow1/3_binary64_12436` `cbrt-prod_binary64_12385`
2×	`cbrt-unprod_binary64_12387` `prod-exp_binary64_12403` `unswap-sqr_binary64_12322` `sub-neg_binary64_12347`
1×	`pow-prod-down_binary64_12425` `div-inv_binary64_12351` `cbrt-undiv_binary64_12388` `distribute-lft-out--_binary64_12306` `difference-of-squares_binary64_12323` `div-exp_binary64_12405` `*-commutative_binary64_12285`

Counts

4 → 88

Calls

4 calls:

20.0ms	(*.f64 (/.f64 x y) (-.f64 z t))
13.0ms	(cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t)))
12.0ms	(cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t)))
12.0ms	(cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t)))

series975.0ms (12.6%)

Counts

4 → 12

Calls

4 calls:

300.0ms	(cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t)))
299.0ms	(cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t)))
277.0ms	(cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t)))
98.0ms	(*.f64 (/.f64 x y) (-.f64 z t))

simplify134.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4980	1556
1	4980	1556

prune189.0ms (2.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	100	9	109

Merged error: 0.0b

Counts

109 → 9

Compiler

Compiled 3510 to 595 computations (83% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.3b	(.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 (-.f64 z t) (cbrt.f64 (/.f64 x y))))
10.2b	(cbrt.f64 (/.f64 x y))
10.2b	(cbrt.f64 (/.f64 x y))
10.2b	(cbrt.f64 (/.f64 x y))

rewrite98.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`cbrt-div_binary64_12386` `cbrt-prod_binary64_12385`
29×	`frac-times_binary64_12364`
27×	`times-frac_binary64_12360`
25×	`*-un-lft-identity_binary64_12354` `add-sqr-sqrt_binary64_12376` `add-cube-cbrt_binary64_12389`
17×	`associate-*l/_binary64_12297`
16×	`pow1_binary64_12415` `add-exp-log_binary64_12392`
15×	`associate-*r/_binary64_12296`
10×	`add-cbrt-cube_binary64_12390`
8×	`pow-prod-down_binary64_12425` `flip--_binary64_12329` `cbrt-unprod_binary64_12387` `prod-exp_binary64_12403` `flip3--_binary64_12358`
4×	`add-log-exp_binary64_12393`
3×	`div-inv_binary64_12351` `pow1/3_binary64_12436`
1×	`associate-l_binary64_12295` `associate-r_binary64_12294` `*-commutative_binary64_12285`

Counts

4 → 111

Calls

4 calls:

34.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 (-.f64 z t) (cbrt.f64 (/.f64 x y))))
5.0ms	(cbrt.f64 (/.f64 x y))
5.0ms	(cbrt.f64 (/.f64 x y))
5.0ms	(cbrt.f64 (/.f64 x y))

series386.0ms (5%)

Counts

4 → 12

Calls

4 calls:

109.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 (-.f64 z t) (cbrt.f64 (/.f64 x y))))
95.0ms	(cbrt.f64 (/.f64 x y))
91.0ms	(cbrt.f64 (/.f64 x y))
90.0ms	(cbrt.f64 (/.f64 x y))

simplify204.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (152.0ms)

Iter	Nodes	Cost
0	4964	1985
1	4964	1985

prune192.0ms (2.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	123	9	132

Merged error: 0.0b

Counts

132 → 9

Compiler

Compiled 2963 to 642 computations (78.3% saved)

localize50.0ms (0.6%)

Local error

Found 4 expressions with local error:

1.3b	(.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (.f64 (-.f64 z t) (.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 y) (cbrt.f64 y)))) (cbrt.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))))))
3.2b	(cbrt.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 y) (cbrt.f64 y))))
10.2b	(cbrt.f64 (/.f64 x y))
10.2b	(cbrt.f64 (/.f64 x y))

rewrite126.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

99×	`cbrt-div_binary64_12386`
81×	`frac-times_binary64_12364`
47×	`associate-*r/_binary64_12296`
35×	`associate-*l/_binary64_12297`
31×	`cbrt-prod_binary64_12385`
25×	`pow1_binary64_12415` `add-exp-log_binary64_12392`
19×	`*-un-lft-identity_binary64_12354` `times-frac_binary64_12360` `add-sqr-sqrt_binary64_12376` `add-cube-cbrt_binary64_12389`
16×	`flip--_binary64_12329` `flip3--_binary64_12358`
15×	`pow-prod-down_binary64_12425` `cbrt-unprod_binary64_12387` `prod-exp_binary64_12403` `add-cbrt-cube_binary64_12390`
4×	`add-log-exp_binary64_12393`
3×	`div-inv_binary64_12351` `pow1/3_binary64_12436`
1×	`associate-l_binary64_12295` `associate-r_binary64_12294` `*-commutative_binary64_12285`

Counts

4 → 133

Calls

4 calls:

59.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (.f64 (-.f64 z t) (.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 y) (cbrt.f64 y)))) (cbrt.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))))))
17.0ms	(cbrt.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 y) (cbrt.f64 y))))
5.0ms	(cbrt.f64 (/.f64 x y))
5.0ms	(cbrt.f64 (/.f64 x y))

series439.0ms (5.7%)

Counts

4 → 12

Calls

4 calls:

143.0ms	(cbrt.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 y) (cbrt.f64 y))))
111.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (.f64 (-.f64 z t) (.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 y) (cbrt.f64 y)))) (cbrt.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))))))
97.0ms	(cbrt.f64 (/.f64 x y))
87.0ms	(cbrt.f64 (/.f64 x y))

simplify135.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4999	5518
1	4999	5518

prune282.0ms (3.6%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	145	9	154

Merged error: 0.0b

Counts

154 → 9

Compiler

Compiled 5943 to 795 computations (86.6% saved)

regimes489.0ms (6.3%)

Compiler: Compiled 2949 to 1947 computations (34% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	37
1	28	37

end0.0ms (0%)

sample1.9s (24.3%)

Algorithm

1×

intervals

Results

476.0ms	8000×	body	128	valid
133.0ms	2112×	body	128	invalid

Compiler

Compiled 516 to 335 computations (35.1% saved)

Details

analyze1.2s (16%)

sample39.0ms (0.5%)

simplify264.0ms (3.4%)

prune4.0ms (0.1%)

localize21.0ms (0.3%)

rewrite48.0ms (0.6%)

series189.0ms (2.4%)

simplify120.0ms (1.5%)

prune118.0ms (1.5%)

localize21.0ms (0.3%)

rewrite76.0ms (1%)

series975.0ms (12.6%)

simplify134.0ms (1.7%)

prune189.0ms (2.4%)

localize25.0ms (0.3%)

rewrite98.0ms (1.3%)

series386.0ms (5%)

simplify204.0ms (2.6%)

prune192.0ms (2.5%)

localize50.0ms (0.6%)

rewrite126.0ms (1.6%)

series439.0ms (5.7%)

simplify135.0ms (1.7%)

prune282.0ms (3.6%)

regimes489.0ms (6.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.9s (24.3%)

Profiling