Details

analyze601.0ms (8%)

Algorithm

1×

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
12.5%	87.4%	0.1%	7
26.5%	73.3%	0.1%	8
33.5%	66.3%	0.1%	9
49.1%	50.7%	0.1%	10
56.9%	42.9%	0.1%	11
60.8%	39%	0.1%	12
69%	30.9%	0.1%	13
72.5%	27.3%	0.1%	14

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample42.0ms (0.6%)

Algorithm

1×

intervals

Results

13.0ms	105×	body	1024	valid
9.0ms	37×	body	2048	valid
4.0ms	35×	body	512	valid
2.0ms	63×	body	128	valid
1.0ms	16×	body	256	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify127.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	504	17
1	504	17

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

Error

47.9b

Counts

2 → 1

Compiler

Compiled 24 to 18 computations (25% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

10.8b	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))
0.0b	(+.f64 (*.f64 x y) z)
0.0b	(+.f64 (*.f64 x y) z)
10.8b	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))

rewrite20.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-log-exp_binary64`
10×	`*-un-lft-identity_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`cancel-sign-sub-inv_binary64` `sum-log_binary64`
3×	`diff-log_binary64` `add-cube-cbrt_binary64`
2×	`pow1_binary64` `distribute-lft-out_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `associate--r+_binary64` `flip3--_binary64` `difference-of-squares_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64`

Counts

2 → 32

Calls

4 calls:

11.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))
5.0ms	(+.f64 (*.f64 x y) z)
0.0ms	(+.f64 (*.f64 x y) z)
0.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))

series214.0ms (2.8%)

Counts

2 → 36

Calls

2 calls:

135.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))
79.0ms	(+.f64 (*.f64 x y) z)

Compiler

Compiled 566 to 448 computations (20.8% saved)

simplify67.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5205	901

prune76.0ms (1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	57	11	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	11	69

Error

46.6b

Counts

69 → 11

Compiler

Compiled 1117 to 410 computations (63.3% saved)

localize13.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.3b	(.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 z (*.f64 x y))))
0.0b	(+.f64 z (*.f64 x y))
0.0b	(+.f64 z (*.f64 x y))
0.0b	(+.f64 z (*.f64 x y))
8.2b	(cbrt.f64 (+.f64 z (*.f64 x y)))
8.2b	(cbrt.f64 (+.f64 z (*.f64 x y)))
8.2b	(cbrt.f64 (+.f64 z (*.f64 x y)))
35.2b	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 z (*.f64 x y))))))

rewrite20.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
9×	`add-log-exp_binary64` `cbrt-prod_binary64`
8×	`add-cube-cbrt_binary64`
6×	`cbrt-div_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `pow1/3_binary64` `cancel-sign-sub-inv_binary64` `flip-+_binary64`
2×	`diff-log_binary64`
1×	`sub-neg_binary64` `associate--r+_binary64` `flip3--_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `sum-log_binary64`

Counts

4 → 57

Calls

8 calls:

6.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 z (*.f64 x y))))))
3.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
0.0ms	(+.f64 z (*.f64 x y))

series716.0ms (9.5%)

Counts

4 → 69

Calls

4 calls:

204.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
194.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
187.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
130.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 z (*.f64 x y))))))

Compiler

Compiled 3865 to 2585 computations (33.1% saved)

simplify71.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5019	2309

prune160.0ms (2.1%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	116	10	126
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	121	16	137

Error

46.6b

Counts

137 → 16

Compiler

Compiled 4067 to 1207 computations (70.3% saved)

localize20.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 z (*.f64 x y))
0.0b	(+.f64 z (*.f64 x y))
0.0b	(+.f64 z (*.f64 x y))
0.0b	(+.f64 z (*.f64 x y))
8.2b	(cbrt.f64 (+.f64 z (*.f64 x y)))
8.2b	(cbrt.f64 (+.f64 z (*.f64 x y)))
8.2b	(cbrt.f64 (+.f64 z (*.f64 x y)))
36.5b	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y)))))) (cbrt.f64 (+.f64 z (*.f64 x y))))))

rewrite23.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
9×	`add-log-exp_binary64` `cbrt-prod_binary64`
8×	`add-cube-cbrt_binary64`
6×	`cbrt-div_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `pow1/3_binary64` `cancel-sign-sub-inv_binary64` `flip-+_binary64`
2×	`diff-log_binary64`
1×	`sub-neg_binary64` `associate--r+_binary64` `flip3--_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `sum-log_binary64`

Counts

4 → 57

Calls

8 calls:

6.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y)))))) (cbrt.f64 (+.f64 z (*.f64 x y))))))
3.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
0.0ms	(+.f64 z (*.f64 x y))

series745.0ms (9.9%)

Counts

4 → 69

Calls

4 calls:

202.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
202.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
195.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
146.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y)))))) (cbrt.f64 (+.f64 z (*.f64 x y))))))

Compiler

Compiled 5113 to 2897 computations (43.3% saved)

simplify73.0ms (1%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5143	3199

prune230.0ms (3.1%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	115	11	126
Fresh	4	11	15
Picked	1	0	1
Done	0	0	0
Total	120	22	142

Error

46.6b

Counts

142 → 22

Compiler

Compiled 6736 to 1331 computations (80.2% saved)

localize43.0ms (0.6%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 z (*.f64 x y))
0.0b	(+.f64 z (*.f64 x y))
0.0b	(+.f64 z (*.f64 x y))
0.0b	(+.f64 z (*.f64 x y))
8.2b	(cbrt.f64 (+.f64 z (*.f64 x y)))
36.5b	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y)))))))))
36.5b	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y)))))))))
36.5b	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y)))))))))

rewrite47.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-log-exp_binary64`
14×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
9×	`cancel-sign-sub-inv_binary64`
8×	`add-cube-cbrt_binary64`
6×	`diff-log_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`sub-neg_binary64` `associate--r+_binary64` `flip3--_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `cbrt-prod_binary64` `sum-log_binary64`
2×	`cbrt-div_binary64`
1×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`

Counts

4 → 67

Calls

8 calls:

9.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y)))))))))
6.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y)))))))))
6.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y)))))))))
3.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
0.0ms	(+.f64 z (*.f64 x y))

series804.0ms (10.7%)

Counts

4 → 71

Calls

4 calls:

241.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
189.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y)))))))))
188.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y)))))))))
185.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y)))))))))

Compiler

Compiled 12156 to 3506 computations (71.2% saved)

simplify151.0ms (2%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4908	5671
1	4908	5671

prune402.0ms (5.3%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	130	8	138
Fresh	3	18	21
Picked	1	0	1
Done	0	0	0
Total	134	26	160

Error

46.4b

Counts

160 → 26

Compiler

Compiled 17844 to 2246 computations (87.4% saved)

regimes688.0ms (9.1%)

Accuracy

Total 1.5b remaining (3.4%)

Threshold costs 0b (0%)

Compiler

Compiled 13090 to 4236 computations (67.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	98	22
1	98	22

end1.0ms (0%)

Compiler: Compiled 15 to 12 computations (20% saved)

sample2.2s (28.6%)

Algorithm

1×

intervals

Results

323.0ms	2689×	body	1024	valid
175.0ms	1185×	body	2048	valid
112.0ms	1239×	body	512	valid
82.0ms	2301×	body	128	valid
39.0ms	585×	body	256	valid
0.0ms	1×	body	4096	valid

Compiler

Compiled 3293 to 1075 computations (67.4% saved)

Pareto

Details

analyze601.0ms (8%)

sample42.0ms (0.6%)

simplify127.0ms (1.7%)

prune4.0ms (0.1%)

localize10.0ms (0.1%)

rewrite20.0ms (0.3%)

series214.0ms (2.8%)

simplify67.0ms (0.9%)

prune76.0ms (1%)

localize13.0ms (0.2%)

rewrite20.0ms (0.3%)

series716.0ms (9.5%)

simplify71.0ms (0.9%)

prune160.0ms (2.1%)

localize20.0ms (0.3%)

rewrite23.0ms (0.3%)

series745.0ms (9.9%)

simplify73.0ms (1%)

prune230.0ms (3.1%)

localize43.0ms (0.6%)

rewrite47.0ms (0.6%)

series804.0ms (10.7%)

simplify151.0ms (2%)

prune402.0ms (5.3%)

regimes688.0ms (9.1%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end1.0ms (0%)

sample2.2s (28.6%)

Profiling