Details

analyze753.0ms (16.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5214	91
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
3.1%	96.7%	0.2%	8
19.9%	79.9%	0.2%	9
22.8%	77%	0.2%	10
35.1%	64.7%	0.2%	11
45%	54.8%	0.2%	12
53.8%	45.1%	1.2%	13
56.2%	42.4%	1.5%	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	25×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify270.0ms (5.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (265.0ms)

Iter	Nodes	Cost
0	5412	13

prune2.0ms (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

2.9b

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 y) (-.f64 z y))
2.8b	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)

rewrite32.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64_9648`
70×	`*-un-lft-identity_binary64_9626`
51×	`times-frac_binary64_9632`
31×	`associate-l_binary64_9567`
26×	`add-cube-cbrt_binary64_9661`
22×	`distribute-lft-out--_binary64_9578` `difference-of-squares_binary64_9595`
9×	`add-exp-log_binary64_9664` `add-cbrt-cube_binary64_9662`
5×	`associate-/l_binary64_9571` `associate-/r_binary64_9570`
4×	`pow1_binary64_9687` `associate-/r/_binary64_9572`
3×	`flip3--_binary64_9630` `flip--_binary64_9601` `associate-r_binary64_9566`
2×	`add-log-exp_binary64_9665` `div-exp_binary64_9677` `prod-exp_binary64_9675` `associate-/l/_binary64_9573` `cbrt-undiv_binary64_9660` `unswap-sqr_binary64_9594` `div-inv_binary64_9623` `cbrt-unprod_binary64_9659`
1×	`associate-l/_binary64_9569` `pow-prod-down_binary64_9697` `-commutative_binary64_9557` `frac-2neg_binary64_9637` `clear-num_binary64_9625` `div-sub_binary64_9631`

Counts

2 → 102

Calls

2 calls:

15.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)
9.0ms	(/.f64 (-.f64 x y) (-.f64 z y))

series152.0ms (3.3%)

Counts

2 → 6

Calls

2 calls:

110.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)
42.0ms	(/.f64 (-.f64 x y) (-.f64 z y))

simplify66.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5037	1792

prune93.0ms (2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	100	8	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	8	109

Error

0.0b

Counts

109 → 8

Compiler

Compiled 1918 to 439 computations (77.1% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 z y))
0.6b	(cbrt.f64 (-.f64 z y))
0.6b	(cbrt.f64 (-.f64 z y))
0.7b	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y))) (.f64 (cbrt.f64 (-.f64 z y)) (cbrt.f64 (-.f64 z y)))) (.f64 t (/.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 z y)))))

rewrite64.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

73×	`add-exp-log_binary64_9664`
39×	`add-cbrt-cube_binary64_9662`
37×	`prod-exp_binary64_9675` `cbrt-unprod_binary64_9659`
18×	`cbrt-div_binary64_9658`
17×	`div-exp_binary64_9677` `cbrt-undiv_binary64_9660`
15×	`cbrt-prod_binary64_9657`
14×	`add-sqr-sqrt_binary64_9648` `*-un-lft-identity_binary64_9626`
13×	`associate-l_binary64_9567`
9×	`flip3--_binary64_9630` `flip--_binary64_9601` `pow1_binary64_9687`
8×	`add-cube-cbrt_binary64_9661` `associate-/r/_binary64_9572`
5×	`frac-times_binary64_9636` `associate-*r/_binary64_9568`
4×	`add-log-exp_binary64_9665`
3×	`associate-*l/_binary64_9569` `pow1/3_binary64_9708` `distribute-lft-out--_binary64_9578` `difference-of-squares_binary64_9595` `pow-prod-down_binary64_9697`
1×	`times-frac_binary64_9632` `-commutative_binary64_9557` `div-inv_binary64_9623` `associate-r*_binary64_9566`

Counts

4 → 102

Calls

4 calls:

40.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y))) (.f64 (cbrt.f64 (-.f64 z y)) (cbrt.f64 (-.f64 z y)))) (.f64 t (/.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 z y)))))
3.0ms	(cbrt.f64 (-.f64 z y))
3.0ms	(cbrt.f64 (-.f64 z y))
3.0ms	(cbrt.f64 (-.f64 z y))

series474.0ms (10.4%)

Counts

4 → 12

Calls

4 calls:

136.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y))) (.f64 (cbrt.f64 (-.f64 z y)) (cbrt.f64 (-.f64 z y)))) (.f64 t (/.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 z y)))))
115.0ms	(cbrt.f64 (-.f64 z y))
113.0ms	(cbrt.f64 (-.f64 z y))
110.0ms	(cbrt.f64 (-.f64 z y))

simplify84.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5006	1891

prune102.0ms (2.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	114	8	122

Error

0.0b

Counts

122 → 8

Compiler

Compiled 3328 to 587 computations (82.4% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (-.f64 z y))
0.3b	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 z y)))
2.8b	(.f64 (.f64 (-.f64 x y) (/.f64 1 (-.f64 z y))) t)

rewrite45.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

47×	`add-sqr-sqrt_binary64_9648`
41×	`*-un-lft-identity_binary64_9626`
32×	`times-frac_binary64_9632`
31×	`add-exp-log_binary64_9664`
24×	`add-cube-cbrt_binary64_9661` `associate-r_binary64_9566`
19×	`add-cbrt-cube_binary64_9662`
13×	`prod-exp_binary64_9675`
11×	`pow1_binary64_9687`
10×	`associate-*l/_binary64_9569`
8×	`distribute-lft-out--_binary64_9578` `difference-of-squares_binary64_9595`
7×	`cbrt-unprod_binary64_9659`
6×	`associate-l_binary64_9567` `flip3--_binary64_9630` `div-exp_binary64_9677` `flip--_binary64_9601`
5×	`associate-/r*_binary64_9570`
4×	`frac-times_binary64_9636` `pow-prod-down_binary64_9697` `associate-/r/_binary64_9572`
3×	`1-exp_binary64_9670` `rec-exp_binary64_9676` `add-log-exp_binary64_9665` `cbrt-undiv_binary64_9660` `unswap-sqr_binary64_9594` `associate-/l*_binary64_9571`
2×	`un-div-inv_binary64_9624` `-commutative_binary64_9557` `div-inv_binary64_9623` `associate-r/_binary64_9568`
1×	`inv-pow_binary64_9711` `pow-flip_binary64_9700` `frac-2neg_binary64_9637` `clear-num_binary64_9625`

Counts

3 → 119

Calls

3 calls:

16.0ms	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 z y)))
14.0ms	(.f64 (.f64 (-.f64 x y) (/.f64 1 (-.f64 z y))) t)
6.0ms	(/.f64 1 (-.f64 z y))

series186.0ms (4.1%)

Counts

3 → 9

Calls

3 calls:

120.0ms	(.f64 (.f64 (-.f64 x y) (/.f64 1 (-.f64 z y))) t)
45.0ms	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 z y)))
21.0ms	(/.f64 1 (-.f64 z y))

simplify71.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5884	1618

prune88.0ms (1.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	127	9	136

Error

Counts

136 → 9

Compiler

Compiled 2028 to 706 computations (65.2% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.7b	(cbrt.f64 t)
0.7b	(cbrt.f64 t)
0.7b	(cbrt.f64 t)
2.6b	(.f64 (/.f64 (-.f64 x y) (-.f64 z y)) (.f64 (cbrt.f64 t) (cbrt.f64 t)))

rewrite31.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64_9648`
38×	`*-un-lft-identity_binary64_9626`
31×	`associate-l_binary64_9567`
26×	`times-frac_binary64_9632`
18×	`add-cube-cbrt_binary64_9661`
16×	`add-exp-log_binary64_9664`
12×	`add-cbrt-cube_binary64_9662`
10×	`distribute-lft-out--_binary64_9578` `difference-of-squares_binary64_9595`
9×	`cbrt-prod_binary64_9657` `pow1_binary64_9687`
6×	`prod-exp_binary64_9675` `cbrt-unprod_binary64_9659`
4×	`add-log-exp_binary64_9665`
3×	`pow1/3_binary64_9708` `pow-prod-down_binary64_9697`
2×	`div-exp_binary64_9677` `cbrt-undiv_binary64_9660` `unswap-sqr_binary64_9594` `associate-/r/_binary64_9572`
1×	`associate-l/_binary64_9569` `flip3--_binary64_9630` `-commutative_binary64_9557` `flip--_binary64_9601` `div-inv_binary64_9623` `associate-r_binary64_9566`

Counts

4 → 86

Calls

4 calls:

18.0ms	(.f64 (/.f64 (-.f64 x y) (-.f64 z y)) (.f64 (cbrt.f64 t) (cbrt.f64 t)))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series463.0ms (10.1%)

Counts

4 → 12

Calls

4 calls:

213.0ms	(.f64 (/.f64 (-.f64 x y) (-.f64 z y)) (.f64 (cbrt.f64 t) (cbrt.f64 t)))
84.0ms	(cbrt.f64 t)
83.0ms	(cbrt.f64 t)
82.0ms	(cbrt.f64 t)

simplify77.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4954	1253
1	4954	1253

prune74.0ms (1.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	98	9	107

Error

Counts

107 → 9

Compiler

Compiled 2011 to 541 computations (73.1% saved)

regimes356.0ms (7.8%)

Accuracy

Total 1.1b remaining (99.7%)

Threshold costs 0b (0%)

Compiler

Compiled 3887 to 2449 computations (37% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	49
1	29	49

end0.0ms (0%)

sample1.0s (22.3%)

Algorithm

1×

intervals

Results

270.0ms	8000×	body	128	valid
20.0ms	640×	body	128	invalid

Compiler

Compiled 634 to 397 computations (37.4% saved)

Details

analyze753.0ms (16.5%)

sample19.0ms (0.4%)

simplify270.0ms (5.9%)

prune2.0ms (0.1%)

localize6.0ms (0.1%)

rewrite32.0ms (0.7%)

series152.0ms (3.3%)

simplify66.0ms (1.4%)

prune93.0ms (2%)

localize14.0ms (0.3%)

rewrite64.0ms (1.4%)

series474.0ms (10.4%)

simplify84.0ms (1.8%)

prune102.0ms (2.2%)

localize8.0ms (0.2%)

rewrite45.0ms (1%)

series186.0ms (4.1%)

simplify71.0ms (1.6%)

prune88.0ms (1.9%)

localize10.0ms (0.2%)

rewrite31.0ms (0.7%)

series463.0ms (10.1%)

simplify77.0ms (1.7%)

prune74.0ms (1.6%)

regimes356.0ms (7.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.0s (22.3%)

Profiling