Details

analyze171.0ms (2.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	10	14
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
87.4%	12.5%	0.1%	6
87.4%	12.5%	0.1%	7
93.7%	6.2%	0.1%	8
93.7%	6.2%	0.1%	9
96.8%	3.1%	0.1%	10
96.8%	3.1%	0.1%	11
98.3%	1.6%	0.1%	12
98.3%	1.6%	0.1%	13
99.1%	0.8%	0.1%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample52.0ms (0.8%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

128

valid

Compiler

Compiled 1547 to 2061 computations (-33.2% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

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

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (/.f64 y 500))

rewrite16.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64_6255` `*-un-lft-identity_binary64_6216`
1×	`sum-log_binary64_6307` `pow1_binary64_6277` `add-exp-log_binary64_6254` `add-cbrt-cube_binary64_6252` `add-cube-cbrt_binary64_6251` `add-sqr-sqrt_binary64_6238` `flip3-+_binary64_6219` `flip-+_binary64_6190` `distribute-lft-out_binary64_6167` `+-commutative_binary64_6146`

Counts

1 → 12

Calls

1 calls:

6.0ms

(+.f64 x (/.f64 y 500))

Compiler

Compiled 143 to 100 computations (30.1% saved)

series91.0ms (1.3%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

85.0ms

(+.f64 x (/.f64 y 500))

Compiler

Compiled 114 to 104 computations (8.8% saved)

simplify57.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5020	200

prune20.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	22	2	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	3	25

Error

0.0b

Counts

25 → 3

Compiler

Compiled 203 to 139 computations (31.5% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 1/500 y) x)) (cbrt.f64 (+.f64 (*.f64 1/500 y) x)))
0.5b	(cbrt.f64 (+.f64 (*.f64 1/500 y) x))
0.5b	(cbrt.f64 (+.f64 (*.f64 1/500 y) x))
0.5b	(cbrt.f64 (+.f64 (*.f64 1/500 y) x))

rewrite187.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_6247`
23×	`add-sqr-sqrt_binary64_6238`
18×	`cbrt-div_binary64_6248`
15×	`add-cube-cbrt_binary64_6251` `*-un-lft-identity_binary64_6216`
11×	`pow1_binary64_6277`
9×	`pow1/3_binary64_6298` `flip3-+_binary64_6219` `flip-+_binary64_6190`
6×	`add-exp-log_binary64_6254` `swap-sqr_binary64_6183` `associate-l_binary64_6157` `associate-r_binary64_6156`
4×	`add-log-exp_binary64_6255` `add-cbrt-cube_binary64_6252` `frac-times_binary64_6226` `unswap-sqr_binary64_6184`
2×	`pow-prod-down_binary64_6287` `pow-prod-up_binary64_6286` `pow-sqr_binary64_6189` `associate-l/_binary64_6159` `associate-r/_binary64_6158`
1×	`pow2_binary64_6297` `pow-plus_binary64_6279` `prod-exp_binary64_6265` `cbrt-unprod_binary64_6249` `*-commutative_binary64_6147`

Counts

4 → 87

Calls

4 calls:

13.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 1/500 y) x)) (cbrt.f64 (+.f64 (*.f64 1/500 y) x)))
4.0ms	(cbrt.f64 (+.f64 (*.f64 1/500 y) x))
4.0ms	(cbrt.f64 (+.f64 (*.f64 1/500 y) x))
4.0ms	(cbrt.f64 (+.f64 (*.f64 1/500 y) x))

Compiler

Compiled 2660 to 1913 computations (28.1% saved)

series750.0ms (11.1%)

Error

0.0b

Counts

4 → 46

Calls

4 calls:

199.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 1/500 y) x)) (cbrt.f64 (+.f64 (*.f64 1/500 y) x)))
164.0ms	(cbrt.f64 (+.f64 (*.f64 1/500 y) x))
158.0ms	(cbrt.f64 (+.f64 (*.f64 1/500 y) x))
152.0ms	(cbrt.f64 (+.f64 (*.f64 1/500 y) x))

Compiler

Compiled 3711 to 3095 computations (16.6% saved)

simplify106.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5045	2343

prune204.0ms (3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	132	4	136

Error

Counts

136 → 4

Compiler

Compiled 3369 to 2366 computations (29.8% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (.f64 y 1/500))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y 1/500))) 2)))
0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y 1/500))) 2))
0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y 1/500))) 2))
0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y 1/500))) 2))

rewrite587.0ms (8.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

170×	`cbrt-prod_binary64_6247`
77×	`add-sqr-sqrt_binary64_6238`
66×	`unpow-prod-down_binary64_6295`
36×	`unswap-sqr_binary64_6184`
29×	`add-cube-cbrt_binary64_6251` `*-un-lft-identity_binary64_6216`
19×	`unpow2_binary64_6281` `sqr-pow_binary64_6188`
14×	`swap-sqr_binary64_6183` `associate-l_binary64_6157` `associate-r_binary64_6156`
11×	`pow1_binary64_6277`
9×	`pow1/3_binary64_6298`
6×	`add-exp-log_binary64_6254`
4×	`add-log-exp_binary64_6255` `add-cbrt-cube_binary64_6252`
2×	`pow-prod-down_binary64_6287` `pow-prod-up_binary64_6286` `pow-sqr_binary64_6189`
1×	`pow2_binary64_6297` `pow-plus_binary64_6279` `prod-exp_binary64_6265` `cbrt-unprod_binary64_6249` `*-commutative_binary64_6147`

Counts

4 → 153

Calls

4 calls:

18.0ms	(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (.f64 y 1/500))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y 1/500))) 2)))
7.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y 1/500))) 2))
5.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y 1/500))) 2))
4.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y 1/500))) 2))

Compiler

Compiled 7662 to 6080 computations (20.6% saved)

series983.0ms (14.6%)

Error

Counts

4 → 48

Calls

4 calls:

221.0ms	(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (.f64 y 1/500))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y 1/500))) 2)))
218.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y 1/500))) 2))
216.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y 1/500))) 2))
211.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y 1/500))) 2))

Compiler

Compiled 5616 to 4722 computations (15.9% saved)

simplify84.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4966	5535
1	4966	5535

prune666.0ms (9.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	201	0	201
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	201	4	205

Error

Counts

205 → 4

Compiler

Compiled 8522 to 6628 computations (22.2% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 y (/.f64 y 250000))
0.2b	(*.f64 1/500 y)
4.5b	(-.f64 (.f64 x x) (.f64 y (/.f64 y 250000)))
29.5b	(/.f64 (-.f64 (.f64 x x) (.f64 y (/.f64 y 250000))) (-.f64 x (*.f64 1/500 y)))

rewrite139.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

29×	`add-sqr-sqrt_binary64_6238`
22×	`add-cube-cbrt_binary64_6251` `*-un-lft-identity_binary64_6216`
19×	`times-frac_binary64_6222`
16×	`associate-r_binary64_6156`
13×	`add-exp-log_binary64_6254` `add-cbrt-cube_binary64_6252`
8×	`pow1_binary64_6277`
6×	`add-log-exp_binary64_6255` `associate-l_binary64_6157`
3×	`flip3--_binary64_6220` `flip--_binary64_6191` `associate-/l_binary64_6161` `associate-/r_binary64_6160` `prod-exp_binary64_6265` `cbrt-unprod_binary64_6249` `unswap-sqr_binary64_6184`
2×	`div-exp_binary64_6267` `cbrt-undiv_binary64_6250` `div-inv_binary64_6213` `associate-/l/_binary64_6163` `associate-/r/_binary64_6162` `pow-prod-down_binary64_6287` `*-commutative_binary64_6147`
1×	`frac-2neg_binary64_6227` `div-sub_binary64_6221` `clear-num_binary64_6215` `diff-log_binary64_6308` `sub-neg_binary64_6209` `cancel-sign-sub-inv_binary64_6182` `associate-*r/_binary64_6158`

Counts

4 → 94

Calls

4 calls:

7.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (/.f64 y 250000))) (-.f64 x (*.f64 1/500 y)))
7.0ms	(*.f64 y (/.f64 y 250000))
4.0ms	(-.f64 (.f64 x x) (.f64 y (/.f64 y 250000)))
3.0ms	(*.f64 1/500 y)

Compiler

Compiled 2306 to 1332 computations (42.2% saved)

series506.0ms (7.5%)

Error

Counts

4 → 30

Calls

4 calls:

250.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (/.f64 y 250000))) (-.f64 x (*.f64 1/500 y)))
177.0ms	(-.f64 (.f64 x x) (.f64 y (/.f64 y 250000)))
35.0ms	(*.f64 y (/.f64 y 250000))
25.0ms	(*.f64 1/500 y)

Compiler

Compiled 774 to 612 computations (20.9% saved)

simplify59.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4954	1865
1	4954	1865

prune126.0ms (1.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	124	4	128

Error

Counts

128 → 4

Compiler

Compiled 2371 to 1305 computations (45% saved)

regimes99.0ms (1.5%)

Accuracy

Total 0.0b remaining (48.5%)

Threshold costs 0.0b (48.5%)

Compiler

Compiled 796 to 666 computations (16.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms (0%)

sample1.8s (26.6%)

Algorithm

1×

intervals

Results

154.0ms

8000×

body

128

valid

Compiler

Compiled 48205 to 64173 computations (-33.1% saved)

Details

analyze171.0ms (2.5%)

sample52.0ms (0.8%)

simplify6.0ms (0.1%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite16.0ms (0.2%)

series91.0ms (1.3%)

simplify57.0ms (0.8%)

prune20.0ms (0.3%)

localize8.0ms (0.1%)

rewrite187.0ms (2.8%)

series750.0ms (11.1%)

simplify106.0ms (1.6%)

prune204.0ms (3%)

localize18.0ms (0.3%)

rewrite587.0ms (8.7%)

series983.0ms (14.6%)

simplify84.0ms (1.2%)

prune666.0ms (9.9%)

localize12.0ms (0.2%)

rewrite139.0ms (2.1%)

series506.0ms (7.5%)

simplify59.0ms (0.9%)

prune126.0ms (1.9%)

regimes99.0ms (1.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.8s (26.6%)

Profiling