Details

analyze378.0ms (3.7%)

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)

sample31.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	81×	body	1024	valid
5.0ms	32×	body	2048	valid
3.0ms	36×	body	512	valid
3.0ms	83×	body	128	valid
1.0ms	24×	body	256	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify117.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	504	17
1	504	17

prune2.0ms (0%)

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

43.0b

Counts

2 → 1

Compiler

Compiled 24 to 18 computations (25% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

9.6b	(-.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)
9.6b	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))

rewrite16.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-log-exp_binary64_1109`
10×	`*-un-lft-identity_binary64_1070`
5×	`add-sqr-sqrt_binary64_1092`
4×	`cancel-sign-sub-inv_binary64_1036` `sum-log_binary64_1161`
3×	`diff-log_binary64_1162` `add-cube-cbrt_binary64_1105`
2×	`add-cbrt-cube_binary64_1106` `add-exp-log_binary64_1108` `distribute-lft-out_binary64_1021` `distribute-lft-out--_binary64_1022` `pow1_binary64_1131`
1×	`flip--_binary64_1045` `flip-+_binary64_1044` `flip3--_binary64_1074` `+-commutative_binary64_1000` `difference-of-squares_binary64_1039` `flip3-+_binary64_1073` `sub-neg_binary64_1063` `associate--r+_binary64_1006`

Counts

2 → 32

Calls

4 calls:

9.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))
4.0ms	(+.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)))

series193.0ms (1.9%)

Counts

2 → 36

Calls

2 calls:

119.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))
73.0ms	(+.f64 (*.f64 x y) z)

Compiler

Compiled 566 to 448 computations (20.8% saved)

simplify67.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5205	901

prune74.0ms (0.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	58	10	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	10	69

Error

41.6b

Counts

69 → 10

Compiler

Compiled 1093 to 397 computations (63.7% saved)

localize12.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.2b	(.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))
6.3b	(cbrt.f64 (+.f64 z (*.f64 x y)))
6.3b	(cbrt.f64 (+.f64 z (*.f64 x y)))
6.3b	(cbrt.f64 (+.f64 z (*.f64 x y)))
32.4b	(-.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 (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_1092` `*-un-lft-identity_binary64_1070`
9×	`add-log-exp_binary64_1109` `cbrt-prod_binary64_1101`
8×	`add-cube-cbrt_binary64_1105`
6×	`cbrt-div_binary64_1102`
4×	`add-cbrt-cube_binary64_1106` `add-exp-log_binary64_1108` `pow1_binary64_1131`
3×	`cancel-sign-sub-inv_binary64_1036` `flip-+_binary64_1044` `flip3-+_binary64_1073` `pow1/3_binary64_1152`
2×	`diff-log_binary64_1162`
1×	`flip--_binary64_1045` `flip3--_binary64_1074` `distribute-lft-out--_binary64_1022` `difference-of-squares_binary64_1039` `sub-neg_binary64_1063` `associate--r+_binary64_1006` `sum-log_binary64_1161`

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))

series696.0ms (6.9%)

Counts

4 → 69

Calls

4 calls:

190.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
190.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
184.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
131.0ms	(-.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)

simplify68.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5019	2309

prune172.0ms (1.7%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	115	11	126
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	118	18	136

Error

41.6b

Counts

136 → 18

Compiler

Compiled 4129 to 1244 computations (69.9% saved)

localize19.0ms (0.2%)

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))
6.3b	(cbrt.f64 (+.f64 z (*.f64 x y)))
6.3b	(cbrt.f64 (+.f64 z (*.f64 x y)))
6.3b	(cbrt.f64 (+.f64 z (*.f64 x y)))
34.0b	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (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))))))))

rewrite25.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_1092` `*-un-lft-identity_binary64_1070`
9×	`add-log-exp_binary64_1109` `cbrt-prod_binary64_1101`
8×	`add-cube-cbrt_binary64_1105`
6×	`cbrt-div_binary64_1102`
4×	`add-cbrt-cube_binary64_1106` `add-exp-log_binary64_1108` `pow1_binary64_1131`
3×	`cancel-sign-sub-inv_binary64_1036` `flip-+_binary64_1044` `flip3-+_binary64_1073` `pow1/3_binary64_1152`
2×	`diff-log_binary64_1162`
1×	`flip--_binary64_1045` `flip3--_binary64_1074` `distribute-lft-out--_binary64_1022` `difference-of-squares_binary64_1039` `sub-neg_binary64_1063` `associate--r+_binary64_1006` `sum-log_binary64_1161`

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)))) (.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))))))))
4.0ms	(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))

series732.0ms (7.3%)

Counts

4 → 69

Calls

4 calls:

200.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
197.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
191.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
143.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (.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 5113 to 2871 computations (43.8% saved)

simplify132.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	5008	3181

prune220.0ms (2.2%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	118	8	126
Fresh	1	16	17
Picked	1	0	1
Done	0	0	0
Total	120	24	144

Error

41.6b

Counts

144 → 24

Compiler

Compiled 6725 to 1290 computations (80.8% saved)

localize44.0ms (0.4%)

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 (.f64 (cbrt.f64 (-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (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 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (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 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (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))))))))))
6.3b	(cbrt.f64 (+.f64 z (*.f64 x y)))
34.0b	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (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))))))))
34.0b	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (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))))))))
34.0b	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (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 (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-log-exp_binary64_1109`
14×	`add-sqr-sqrt_binary64_1092` `*-un-lft-identity_binary64_1070`
9×	`cancel-sign-sub-inv_binary64_1036`
8×	`add-cube-cbrt_binary64_1105`
6×	`diff-log_binary64_1162`
4×	`add-cbrt-cube_binary64_1106` `add-exp-log_binary64_1108` `pow1_binary64_1131`
3×	`flip--_binary64_1045` `flip3--_binary64_1074` `distribute-lft-out--_binary64_1022` `difference-of-squares_binary64_1039` `cbrt-prod_binary64_1101` `sub-neg_binary64_1063` `associate--r+_binary64_1006` `sum-log_binary64_1161`
2×	`cbrt-div_binary64_1102`
1×	`flip-+_binary64_1044` `flip3-+_binary64_1073` `pow1/3_binary64_1152`

Counts

4 → 67

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)))) (.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 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (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 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (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 (.f64 (cbrt.f64 (-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (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 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (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 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (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))))))))))

series799.0ms (7.9%)

Counts

4 → 71

Calls

4 calls:

231.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
192.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (.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))))))))
189.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (.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))))))))
186.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (.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 3373 computations (72.3% saved)

simplify150.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	5008	5671

prune401.0ms (4%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	130	8	138
Fresh	3	20	23
Picked	1	0	1
Done	0	0	0
Total	134	28	162

Error

41.4b

Counts

162 → 28

Compiler

Compiled 17844 to 2222 computations (87.5% saved)

simplify259.0ms (2.6%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	1486	4147
1	1486	4147

regimes406.0ms (4%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Compiler

Compiled 8001 to 2808 computations (64.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	1	1
1	1	1

end0.0ms (0%)

sample5.0s (49.6%)

Algorithm

1×

intervals

Results

319.0ms	2673×	body	1024	valid
177.0ms	1159×	body	2048	valid
112.0ms	1216×	body	512	valid
79.0ms	2376×	body	128	valid
37.0ms	574×	body	256	valid
0.0ms	2×	body	4096	valid

Compiler

Compiled 8009 to 2807 computations (65% saved)

Pareto

-0.5737301990914063

Details

analyze378.0ms (3.7%)

sample31.0ms (0.3%)

simplify117.0ms (1.2%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite16.0ms (0.2%)

series193.0ms (1.9%)

simplify67.0ms (0.7%)

prune74.0ms (0.7%)

localize12.0ms (0.1%)

rewrite20.0ms (0.2%)

series696.0ms (6.9%)

simplify68.0ms (0.7%)

prune172.0ms (1.7%)

localize19.0ms (0.2%)

rewrite25.0ms (0.3%)

series732.0ms (7.3%)

simplify132.0ms (1.3%)

prune220.0ms (2.2%)

localize44.0ms (0.4%)

rewrite47.0ms (0.5%)

series799.0ms (7.9%)

simplify150.0ms (1.5%)

prune401.0ms (4%)

simplify259.0ms (2.6%)

regimes406.0ms (4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample5.0s (49.6%)

Profiling