Details

analyze395.0ms (5.9%)

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)

sample33.0ms (0.5%)

Algorithm

1×

intervals

Results

11.0ms	92×	body	1024	valid
5.0ms	32×	body	2048	valid
4.0ms	40×	body	512	valid
3.0ms	73×	body	128	valid
1.0ms	19×	body	256	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify120.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (23.0ms)

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

44.7b

Counts

2 → 1

Compiler

Compiled 24 to 18 computations (25% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.6b	(-.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)
8.6b	(-.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_458`
10×	`*-un-lft-identity_binary64_419`
5×	`add-sqr-sqrt_binary64_441`
4×	`sum-log_binary64_510` `cancel-sign-sub-inv_binary64_385`
3×	`add-cube-cbrt_binary64_454` `diff-log_binary64_511`
2×	`distribute-lft-out_binary64_370` `distribute-lft-out--_binary64_371` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
1×	`flip3-+_binary64_422` `sub-neg_binary64_412` `difference-of-squares_binary64_388` `flip3--_binary64_423` `flip-+_binary64_393` `associate--r+_binary64_355` `flip--_binary64_394` `+-commutative_binary64_349`

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)))

series196.0ms (2.9%)

Counts

2 → 36

Calls

2 calls:

117.0ms	(-.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)

simplify65.0ms (1%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5205	901

prune76.0ms (1.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	59	9	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	9	69

Error

43.4b

Counts

69 → 9

Compiler

Compiled 1063 to 379 computations (64.3% saved)

localize14.0ms (0.2%)

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))
7.2b	(cbrt.f64 (+.f64 z (*.f64 x y)))
7.2b	(cbrt.f64 (+.f64 z (*.f64 x y)))
7.2b	(cbrt.f64 (+.f64 z (*.f64 x y)))
32.9b	(-.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))))))

rewrite22.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64_419` `add-sqr-sqrt_binary64_441`
9×	`add-log-exp_binary64_458` `cbrt-prod_binary64_450`
8×	`add-cube-cbrt_binary64_454`
6×	`cbrt-div_binary64_451`
4×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
3×	`flip3-+_binary64_422` `pow1/3_binary64_501` `flip-+_binary64_393` `cancel-sign-sub-inv_binary64_385`
2×	`diff-log_binary64_511`
1×	`sub-neg_binary64_412` `difference-of-squares_binary64_388` `sum-log_binary64_510` `flip3--_binary64_423` `distribute-lft-out--_binary64_371` `associate--r+_binary64_355` `flip--_binary64_394`

Counts

4 → 57

Calls

8 calls:

8.0ms	(-.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))))))
2.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
2.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
2.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
0.0ms	(+.f64 z (*.f64 x y))

series616.0ms (9.2%)

Counts

4 → 63

Calls

4 calls:

165.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
165.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
160.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
127.0ms	(-.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 3397 to 2273 computations (33.1% saved)

simplify63.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5794	1901

prune146.0ms (2.2%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	109	11	120
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	111	18	129

Error

43.4b

Counts

129 → 18

Compiler

Compiled 3718 to 979 computations (73.7% saved)

localize23.0ms (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))
7.2b	(cbrt.f64 (+.f64 z (*.f64 x y)))
7.2b	(cbrt.f64 (+.f64 z (*.f64 x y)))
7.2b	(cbrt.f64 (+.f64 z (*.f64 x y)))
32.6b	(-.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 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y))))))))

rewrite25.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64_419` `add-sqr-sqrt_binary64_441`
9×	`add-log-exp_binary64_458` `cbrt-prod_binary64_450`
8×	`add-cube-cbrt_binary64_454`
6×	`cbrt-div_binary64_451`
4×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
3×	`flip3-+_binary64_422` `pow1/3_binary64_501` `flip-+_binary64_393` `cancel-sign-sub-inv_binary64_385`
2×	`diff-log_binary64_511`
1×	`sub-neg_binary64_412` `difference-of-squares_binary64_388` `sum-log_binary64_510` `flip3--_binary64_423` `distribute-lft-out--_binary64_371` `associate--r+_binary64_355` `flip--_binary64_394`

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 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (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)))
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))

series737.0ms (11%)

Counts

4 → 69

Calls

4 calls:

199.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
197.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
195.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
144.0ms	(-.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 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y))))))))

Compiler

Compiled 5191 to 2897 computations (44.2% saved)

simplify91.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4958	2291
1	4958	2291

prune206.0ms (3.1%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	119	7	126
Fresh	2	14	16
Picked	1	0	1
Done	0	1	1
Total	122	22	144

Error

43.4b

Counts

144 → 22

Compiler

Compiled 5917 to 1470 computations (75.2% saved)

localize29.0ms (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 z (*.f64 x y))
7.2b	(cbrt.f64 (+.f64 z (*.f64 x y)))
7.2b	(cbrt.f64 (+.f64 z (*.f64 x y)))
7.2b	(cbrt.f64 (+.f64 z (*.f64 x y)))
32.6b	(-.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 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y)))) 6)) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y))))))))))

rewrite28.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64_419` `add-sqr-sqrt_binary64_441`
9×	`add-log-exp_binary64_458` `cbrt-prod_binary64_450`
8×	`add-cube-cbrt_binary64_454`
6×	`cbrt-div_binary64_451`
4×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
3×	`flip3-+_binary64_422` `pow1/3_binary64_501` `flip-+_binary64_393` `cancel-sign-sub-inv_binary64_385`
2×	`diff-log_binary64_511`
1×	`sub-neg_binary64_412` `difference-of-squares_binary64_388` `sum-log_binary64_510` `flip3--_binary64_423` `distribute-lft-out--_binary64_371` `associate--r+_binary64_355` `flip--_binary64_394`

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 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y)))) 6)) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y))))))))))
5.0ms	(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))

series737.0ms (11%)

Counts

4 → 67

Calls

4 calls:

204.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
203.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
172.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
157.0ms	(-.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 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y)))) 6)) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y))))))))))

Compiler

Compiled 5913 to 3165 computations (46.5% saved)

simplify100.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4940	2947
1	4940	2947

prune230.0ms (3.4%)

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	115	9	124
Fresh	2	18	20
Picked	1	0	1
Done	0	1	1
Total	118	28	146

Error

43.4b

Counts

146 → 28

Compiler

Compiled 6594 to 1602 computations (75.7% saved)

simplify70.0ms (1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	1994	3439
1	1994	3439

regimes439.0ms (6.5%)

Compiler: Compiled 6612 to 2991 computations (54.8% saved)

bsearch0.0ms (0%)

regimes22.0ms (0.3%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Compiler

Compiled 12 to 42 computations (-250% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 12 computations (-300% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	3
1	4	3

end0.0ms (0%)

sample2.2s (32.8%)

Algorithm

1×

intervals

Results

341.0ms	2724×	body	1024	valid
184.0ms	1137×	body	2048	valid
121.0ms	1224×	body	512	valid
81.0ms	2321×	body	128	valid
38.0ms	593×	body	256	valid
0.0ms	1×	body	4096	valid

Compiler

Compiled 2219 to 1020 computations (54% saved)

Pareto

Details

analyze395.0ms (5.9%)

sample33.0ms (0.5%)

simplify120.0ms (1.8%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite16.0ms (0.2%)

series196.0ms (2.9%)

simplify65.0ms (1%)

prune76.0ms (1.1%)

localize14.0ms (0.2%)

rewrite22.0ms (0.3%)

series616.0ms (9.2%)

simplify63.0ms (0.9%)

prune146.0ms (2.2%)

localize23.0ms (0.3%)

rewrite25.0ms (0.4%)

series737.0ms (11%)

simplify91.0ms (1.4%)

prune206.0ms (3.1%)

localize29.0ms (0.4%)

rewrite28.0ms (0.4%)

series737.0ms (11%)

simplify100.0ms (1.5%)

prune230.0ms (3.4%)

simplify70.0ms (1%)

regimes439.0ms (6.5%)

bsearch0.0ms (0%)

regimes22.0ms (0.3%)

bsearch1.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.2s (32.8%)

Profiling