Details

analyze770.0ms (7.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1687	68
1	1687	68
0	3	3
1	3	3

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)

sample35.0ms (0.3%)

Algorithm

1×

intervals

Results

13.0ms	92×	body	1024	valid
5.0ms	32×	body	2048	valid
4.0ms	40×	body	512	valid
2.0ms	73×	body	128	valid
1.0ms	19×	body	256	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify29.0ms (0.3%)

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

44.7b

Counts

2 → 1

Compiler

Compiled 24 to 18 computations (25% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x y) z)
8.6b	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))

rewrite56.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

44.1b

Rules

13×	`add-log-exp_binary64_2163`
10×	`*-un-lft-identity_binary64_2124`
5×	`add-sqr-sqrt_binary64_2146`
4×	`sum-log_binary64_2215` `cancel-sign-sub-inv_binary64_2090`
3×	`diff-log_binary64_2216` `add-cube-cbrt_binary64_2159`
2×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `distribute-lft-out_binary64_2075` `distribute-lft-out--_binary64_2076`
1×	`flip3--_binary64_2128` `sub-neg_binary64_2117` `flip--_binary64_2099` `difference-of-squares_binary64_2093` `associate--r+_binary64_2060` `flip3-+_binary64_2127` `flip-+_binary64_2098` `+-commutative_binary64_2054`

Counts

2 → 32

Calls

2 calls:

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

Compiler

Compiled 684 to 235 computations (65.6% saved)

series263.0ms (2.5%)

Error

43.5b

Counts

2 → 36

Calls

2 calls:

133.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))
104.0ms	(+.f64 (*.f64 x y) z)

Compiler

Compiled 916 to 565 computations (38.3% saved)

simplify67.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5205	901

prune97.0ms (0.9%)

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 409 computations (61.5% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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))))))

rewrite90.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

43.4b

Rules

10×	`add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
9×	`add-log-exp_binary64_2163` `cbrt-prod_binary64_2155`
8×	`add-cube-cbrt_binary64_2159`
6×	`cbrt-div_binary64_2156`
4×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
3×	`cancel-sign-sub-inv_binary64_2090` `pow1/3_binary64_2206` `flip3-+_binary64_2127` `flip-+_binary64_2098`
2×	`diff-log_binary64_2216`
1×	`sum-log_binary64_2215` `flip3--_binary64_2128` `sub-neg_binary64_2117` `flip--_binary64_2099` `difference-of-squares_binary64_2093` `distribute-lft-out--_binary64_2076` `associate--r+_binary64_2060`

Counts

4 → 57

Calls

4 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)))

Compiler

Compiled 2300 to 411 computations (82.1% saved)

series858.0ms (8.3%)

Error

43.4b

Counts

4 → 63

Calls

4 calls:

215.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
205.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
192.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
166.0ms	(-.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 5090 to 2956 computations (41.9% saved)

simplify89.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5794	1901

prune142.0ms (1.4%)

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 1008 computations (72.9% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

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))))))))

rewrite112.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

43.4b

Rules

10×	`add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
9×	`add-log-exp_binary64_2163` `cbrt-prod_binary64_2155`
8×	`add-cube-cbrt_binary64_2159`
6×	`cbrt-div_binary64_2156`
4×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
3×	`cancel-sign-sub-inv_binary64_2090` `pow1/3_binary64_2206` `flip3-+_binary64_2127` `flip-+_binary64_2098`
2×	`diff-log_binary64_2216`
1×	`sum-log_binary64_2215` `flip3--_binary64_2128` `sub-neg_binary64_2117` `flip--_binary64_2099` `difference-of-squares_binary64_2093` `distribute-lft-out--_binary64_2076` `associate--r+_binary64_2060`

Counts

4 → 57

Calls

4 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)))

Compiler

Compiled 3507 to 474 computations (86.5% saved)

series946.0ms (9.1%)

Error

43.4b

Counts

4 → 69

Calls

4 calls:

261.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
225.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
220.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
150.0ms	(-.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 8063 to 3826 computations (52.5% saved)

simplify101.0ms (1%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4958	2291
1	4958	2291

prune207.0ms (2%)

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 1499 computations (74.7% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

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))))))))))

rewrite173.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

43.4b

Rules

10×	`add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
9×	`add-log-exp_binary64_2163` `cbrt-prod_binary64_2155`
8×	`add-cube-cbrt_binary64_2159`
6×	`cbrt-div_binary64_2156`
4×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
3×	`cancel-sign-sub-inv_binary64_2090` `pow1/3_binary64_2206` `flip3-+_binary64_2127` `flip-+_binary64_2098`
2×	`diff-log_binary64_2216`
1×	`sum-log_binary64_2215` `flip3--_binary64_2128` `sub-neg_binary64_2117` `flip--_binary64_2099` `difference-of-squares_binary64_2093` `distribute-lft-out--_binary64_2076` `associate--r+_binary64_2060`

Counts

4 → 57

Calls

4 calls:

7.0ms	(-.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))))))))))
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)))

Compiler

Compiled 4359 to 879 computations (79.8% saved)

series988.0ms (9.5%)

Error

43.4b

Counts

4 → 67

Calls

4 calls:

241.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
235.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
205.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
182.0ms	(-.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 9235 to 4272 computations (53.7% saved)

simplify106.0ms (1%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4940	2947
1	4940	2947

prune229.0ms (2.2%)

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 1611 computations (75.6% saved)

regimes1.1s (10.7%)

Accuracy

Total 1.4b remaining (3%)

Threshold costs 0b (0%)

Compiler

Compiled 18984 to 7178 computations (62.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	54	17
1	54	17

end0.0ms (0%)

sample3.8s (37%)

Algorithm

1×

intervals

Results

422.0ms	2724×	body	1024	valid
211.0ms	1137×	body	2048	valid
140.0ms	1224×	body	512	valid
99.0ms	2321×	body	128	valid
45.0ms	593×	body	256	valid
0.0ms	1×	body	4096	valid

Compiler

Compiled 4752 to 1802 computations (62.1% saved)

Details

analyze770.0ms (7.4%)

sample35.0ms (0.3%)

simplify29.0ms (0.3%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite56.0ms (0.5%)

series263.0ms (2.5%)

simplify67.0ms (0.6%)

prune97.0ms (0.9%)

localize12.0ms (0.1%)

rewrite90.0ms (0.9%)

series858.0ms (8.3%)

simplify89.0ms (0.9%)

prune142.0ms (1.4%)

localize19.0ms (0.2%)

rewrite112.0ms (1.1%)

series946.0ms (9.1%)

simplify101.0ms (1%)

prune207.0ms (2%)

localize27.0ms (0.3%)

rewrite173.0ms (1.7%)

series988.0ms (9.5%)

simplify106.0ms (1%)

prune229.0ms (2.2%)

regimes1.1s (10.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.8s (37%)

Profiling