Details

analyze905.0ms (14.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4881	112
1	4881	112
0	4	4
1	4	4

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
7.8%	92%	0.2%	8
16.4%	83.4%	0.2%	9
23.8%	76%	0.2%	10
25.1%	74.7%	0.2%	11
38.1%	59.4%	2.5%	12
41.8%	55.3%	2.9%	13
46.5%	50.3%	3.1%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample20.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
2.0ms	54×	body	128	invalid

Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify260.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (255.0ms)

Iter	Nodes	Cost
0	1484	16
1	1484	16

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

3.5b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 t (-.f64 1 z))
3.3b	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

rewrite50.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

79×	`add-sqr-sqrt_binary64_12376`
76×	`*-un-lft-identity_binary64_12354`
62×	`times-frac_binary64_12360`
48×	`cancel-sign-sub-inv_binary64_12320`
35×	`add-cube-cbrt_binary64_12389`
25×	`distribute-lft-in_binary64_12303` `distribute-rgt-in_binary64_12304`
24×	`difference-of-squares_binary64_12323`
14×	`distribute-lft-out--_binary64_12306`
10×	`associate-r_binary64_12294`
6×	`associate-/r*_binary64_12298` `associate-/r/_binary64_12300` `add-cbrt-cube_binary64_12390` `add-exp-log_binary64_12392`
4×	`flip--_binary64_12329` `pow1_binary64_12415` `flip3--_binary64_12358`
3×	`associate-/l_binary64_12299` `div-inv_binary64_12351` `associate-l_binary64_12295` `associate-r/_binary64_12296`
2×	`add-log-exp_binary64_12393` `sub-neg_binary64_12347`
1×	`pow-prod-down_binary64_12425` `clear-num_binary64_12353` `cbrt-unprod_binary64_12387` `frac-2neg_binary64_12365` `cbrt-undiv_binary64_12388` `prod-exp_binary64_12403` `unswap-sqr_binary64_12322` `div-exp_binary64_12405` `frac-sub_binary64_12363` `*-commutative_binary64_12285`

Counts

2 → 119

Calls

2 calls:

32.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
6.0ms	(/.f64 t (-.f64 1 z))

series93.0ms (1.5%)

Counts

2 → 6

Calls

2 calls:

67.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
26.0ms	(/.f64 t (-.f64 1 z))

simplify72.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5225	2398

prune128.0ms (2.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	115	10	125
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	115	11	126

Error

0.5b

Counts

126 → 11

Compiler

Compiled 2482 to 1240 computations (50% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
3.3b	(.f64 x (-.f64 (/.f64 y z) (/.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (/.f64 (-.f64 1 z) (cbrt.f64 t)))))

rewrite71.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

166×	`times-frac_binary64_12360`
111×	`add-sqr-sqrt_binary64_12376`
90×	`cancel-sign-sub-inv_binary64_12320`
87×	`*-un-lft-identity_binary64_12354`
49×	`add-cube-cbrt_binary64_12389`
47×	`cbrt-prod_binary64_12385`
46×	`distribute-lft-in_binary64_12303` `distribute-rgt-in_binary64_12304`
32×	`difference-of-squares_binary64_12323`
13×	`distribute-lft-out--_binary64_12306`
12×	`associate-r_binary64_12294`
6×	`pow1_binary64_12415` `add-cbrt-cube_binary64_12390` `add-exp-log_binary64_12392`
4×	`div-inv_binary64_12351` `add-log-exp_binary64_12393`
3×	`pow1/3_binary64_12436` `associate-l_binary64_12295` `associate-*r/_binary64_12296`
2×	`associate-/r/_binary64_12300` `sub-neg_binary64_12347`
1×	`pow-prod-down_binary64_12425` `flip--_binary64_12329` `cbrt-unprod_binary64_12387` `prod-exp_binary64_12403` `flip3--_binary64_12358` `unswap-sqr_binary64_12322` `frac-sub_binary64_12363` `*-commutative_binary64_12285`

Counts

4 → 155

Calls

4 calls:

47.0ms	(.f64 x (-.f64 (/.f64 y z) (/.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (/.f64 (-.f64 1 z) (cbrt.f64 t)))))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series356.0ms (5.8%)

Counts

4 → 12

Calls

4 calls:

113.0ms	(.f64 x (-.f64 (/.f64 y z) (/.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (/.f64 (-.f64 1 z) (cbrt.f64 t)))))
84.0ms	(cbrt.f64 t)
81.0ms	(cbrt.f64 t)
79.0ms	(cbrt.f64 t)

simplify81.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5511	4548

prune174.0ms (2.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	166	1	167
Fresh	2	7	9
Picked	0	1	1
Done	0	1	1
Total	168	10	178

Error

0.3b

Counts

178 → 10

Compiler

Compiled 4296 to 2029 computations (52.8% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))) (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))
5.0b	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
5.0b	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
5.0b	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

rewrite146.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

116×	`*-un-lft-identity_binary64_12354`
107×	`add-sqr-sqrt_binary64_12376`
82×	`cbrt-prod_binary64_12385`
64×	`times-frac_binary64_12360`
36×	`distribute-lft-out--_binary64_12306`
33×	`cbrt-div_binary64_12386`
28×	`difference-of-squares_binary64_12323`
17×	`swap-sqr_binary64_12321`
15×	`add-cube-cbrt_binary64_12389`
13×	`associate-l_binary64_12295` `associate-r_binary64_12294`
11×	`flip--_binary64_12329` `pow1_binary64_12415` `flip3--_binary64_12358` `frac-sub_binary64_12363`
9×	`frac-times_binary64_12364` `pow1/3_binary64_12436`
6×	`add-exp-log_binary64_12392`
4×	`add-log-exp_binary64_12393` `unswap-sqr_binary64_12322` `add-cbrt-cube_binary64_12390`
3×	`associate-l/_binary64_12297` `associate-r/_binary64_12296`
2×	`pow-prod-down_binary64_12425` `pow-prod-up_binary64_12424` `pow-sqr_binary64_12327`
1×	`cbrt-unprod_binary64_12387` `prod-exp_binary64_12403` `pow2_binary64_12435` `*-commutative_binary64_12285` `pow-plus_binary64_12417`

Counts

4 → 143

Calls

4 calls:

56.0ms	(*.f64 (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))) (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))
25.0ms	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
21.0ms	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
20.0ms	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

series667.0ms (10.9%)

Counts

4 → 12

Calls

4 calls:

207.0ms	(*.f64 (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))) (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))
161.0ms	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
150.0ms	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
149.0ms	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

simplify106.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4945	4835
1	4945	4835

prune303.0ms (5%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	152	3	155
Fresh	1	6	7
Picked	0	1	1
Done	0	2	2
Total	153	12	165

Error

0.2b

Counts

165 → 12

Compiler

Compiled 6929 to 3821 computations (44.9% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.5b	(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) (cbrt.f64 x))
2.2b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) (cbrt.f64 x)))

rewrite69.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64_12376`
20×	`*-un-lft-identity_binary64_12354`
18×	`pow1_binary64_12415` `add-exp-log_binary64_12392`
11×	`associate-l_binary64_12295` `add-cbrt-cube_binary64_12390`
10×	`cbrt-prod_binary64_12385`
9×	`pow-prod-down_binary64_12425` `cbrt-unprod_binary64_12387` `prod-exp_binary64_12403` `add-cube-cbrt_binary64_12389`
8×	`times-frac_binary64_12360`
7×	`associate-r_binary64_12294`
6×	`associate-*l/_binary64_12297`
4×	`add-log-exp_binary64_12393` `distribute-lft-out--_binary64_12306` `difference-of-squares_binary64_12323`
3×	`associate-*r/_binary64_12296`
2×	`flip--_binary64_12329` `pow1/3_binary64_12436` `flip3--_binary64_12358` `unswap-sqr_binary64_12322` `frac-sub_binary64_12363` `*-commutative_binary64_12285`

Counts

4 → 79

Calls

4 calls:

32.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) (cbrt.f64 x)))
29.0ms	(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series399.0ms (6.5%)

Counts

4 → 12

Calls

4 calls:

133.0ms	(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) (cbrt.f64 x))
102.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) (cbrt.f64 x)))
84.0ms	(cbrt.f64 x)
79.0ms	(cbrt.f64 x)

simplify75.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4986	1464
1	4986	1464

prune86.0ms (1.4%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	89	2	91
Fresh	2	6	8
Picked	0	1	1
Done	0	3	3
Total	91	12	103

Error

0.2b

Counts

103 → 12

Compiler

Compiled 2005 to 851 computations (57.6% saved)

regimes612.0ms (10%)

Accuracy

Total 1.1b remaining (67.4%)

Threshold costs 0b (0%)

Compiler

Compiled 6006 to 4422 computations (26.4% saved)

bsearch2.0ms (0%)

Compiler: Compiled 9 to 9 computations (0% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	69	79
1	69	79

end0.0ms (0%)

sample1.4s (22.7%)

Algorithm

1×

intervals

Results

293.0ms	8000×	body	128	valid
67.0ms	1763×	body	128	invalid

Compiler

Compiled 1049 to 761 computations (27.5% saved)

Details

analyze905.0ms (14.8%)

sample20.0ms (0.3%)

simplify260.0ms (4.3%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite50.0ms (0.8%)

series93.0ms (1.5%)

simplify72.0ms (1.2%)

prune128.0ms (2.1%)

localize12.0ms (0.2%)

rewrite71.0ms (1.2%)

series356.0ms (5.8%)

simplify81.0ms (1.3%)

prune174.0ms (2.8%)

localize13.0ms (0.2%)

rewrite146.0ms (2.4%)

series667.0ms (10.9%)

simplify106.0ms (1.7%)

prune303.0ms (5%)

localize12.0ms (0.2%)

rewrite69.0ms (1.1%)

series399.0ms (6.5%)

simplify75.0ms (1.2%)

prune86.0ms (1.4%)

regimes612.0ms (10%)

bsearch2.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.4s (22.7%)

Profiling