Details

analyze1.0s (7.1%)

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)

sample64.0ms (0.5%)

Algorithm

1×

intervals

Results

22.0ms	86×	body	1024	valid
11.0ms	43×	body	2048	valid
6.0ms	35×	body	512	valid
4.0ms	73×	body	128	valid
2.0ms	19×	body	256	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify55.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	504	17
1	504	17

prune4.0ms (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

45.0b

Counts

2 → 1

Compiler

Compiled 24 to 18 computations (25% saved)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x y) z)
10.1b	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))

rewrite83.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

44.4b

Rules

13×	`add-log-exp_binary64_1822`
10×	`*-un-lft-identity_binary64_1783`
5×	`add-sqr-sqrt_binary64_1805`
4×	`sum-log_binary64_1874` `cancel-sign-sub-inv_binary64_1749`
3×	`diff-log_binary64_1875` `add-cube-cbrt_binary64_1818`
2×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `distribute-lft-out_binary64_1734` `distribute-lft-out--_binary64_1735`
1×	`flip3--_binary64_1787` `sub-neg_binary64_1776` `flip--_binary64_1758` `difference-of-squares_binary64_1752` `associate--r+_binary64_1719` `flip3-+_binary64_1786` `flip-+_binary64_1757` `+-commutative_binary64_1713`

Counts

2 → 32

Calls

2 calls:

16.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))
7.0ms	(+.f64 (*.f64 x y) z)

Compiler

Compiled 684 to 235 computations (65.6% saved)

series375.0ms (2.7%)

Error

43.9b

Counts

2 → 36

Calls

2 calls:

199.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))
138.0ms	(+.f64 (*.f64 x y) z)

Compiler

Compiled 916 to 565 computations (38.3% saved)

simplify121.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	5205	901

prune106.0ms (0.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	57	11	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	12	69

Error

43.8b

Counts

69 → 12

Compiler

Compiled 1117 to 440 computations (60.6% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

8.6b	(cbrt.f64 (+.f64 z (*.f64 x y)))
8.6b	(cbrt.f64 (+.f64 z (*.f64 x y)))
8.6b	(cbrt.f64 (+.f64 z (*.f64 x y)))
33.6b	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 z (*.f64 x y))))))

rewrite159.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

43.8b

Rules

10×	`add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
9×	`add-log-exp_binary64_1822` `cbrt-prod_binary64_1814`
8×	`add-cube-cbrt_binary64_1818`
6×	`cbrt-div_binary64_1815`
4×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
3×	`cancel-sign-sub-inv_binary64_1749` `pow1/3_binary64_1865` `flip3-+_binary64_1786` `flip-+_binary64_1757`
2×	`diff-log_binary64_1875`
1×	`sum-log_binary64_1874` `flip3--_binary64_1787` `sub-neg_binary64_1776` `flip--_binary64_1758` `difference-of-squares_binary64_1752` `distribute-lft-out--_binary64_1735` `associate--r+_binary64_1719`

Counts

4 → 57

Calls

4 calls:

11.0ms	(-.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))))))
5.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
5.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
5.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))

Compiler

Compiled 2300 to 411 computations (82.1% saved)

series1.2s (8.8%)

Error

43.8b

Counts

4 → 66

Calls

4 calls:

309.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
302.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
299.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
215.0ms	(-.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 5564 to 3225 computations (42% saved)

simplify223.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (176.0ms)

Iter	Nodes	Cost
0	4979	1994
1	4979	1994

prune235.0ms (1.7%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	115	8	123
Fresh	2	8	10
Picked	1	0	1
Done	0	1	1
Total	118	17	135

Error

43.8b

Counts

135 → 17

Compiler

Compiled 3774 to 962 computations (74.5% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

8.6b	(cbrt.f64 (+.f64 z (*.f64 x y)))
8.6b	(cbrt.f64 (+.f64 z (*.f64 x y)))
8.6b	(cbrt.f64 (+.f64 z (*.f64 x y)))
34.8b	(-.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))))))

rewrite198.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

43.8b

Rules

10×	`add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
9×	`add-log-exp_binary64_1822` `cbrt-prod_binary64_1814`
8×	`add-cube-cbrt_binary64_1818`
6×	`cbrt-div_binary64_1815`
4×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
3×	`cancel-sign-sub-inv_binary64_1749` `pow1/3_binary64_1865` `flip3-+_binary64_1786` `flip-+_binary64_1757`
2×	`diff-log_binary64_1875`
1×	`sum-log_binary64_1874` `flip3--_binary64_1787` `sub-neg_binary64_1776` `flip--_binary64_1758` `difference-of-squares_binary64_1752` `distribute-lft-out--_binary64_1735` `associate--r+_binary64_1719`

Counts

4 → 57

Calls

4 calls:

14.0ms	(-.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))))))
5.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
5.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
5.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))

Compiler

Compiled 3436 to 477 computations (86.1% saved)

series1.4s (9.7%)

Error

43.8b

Counts

4 → 68

Calls

4 calls:

336.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
334.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
313.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
237.0ms	(-.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 7800 to 3746 computations (52% saved)

simplify125.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5143	3170

prune334.0ms (2.4%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	113	12	125
Fresh	2	13	15
Picked	1	0	1
Done	0	1	1
Total	116	26	142

Error

43.8b

Counts

142 → 26

Compiler

Compiled 6704 to 1366 computations (79.6% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

8.6b	(cbrt.f64 (+.f64 z (*.f64 x y)))
8.6b	(cbrt.f64 (+.f64 z (*.f64 x y)))
8.6b	(cbrt.f64 (+.f64 z (*.f64 x y)))
36.9b	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (.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))))))))

rewrite184.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

43.8b

Rules

10×	`add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
9×	`add-log-exp_binary64_1822` `cbrt-prod_binary64_1814`
8×	`add-cube-cbrt_binary64_1818`
6×	`cbrt-div_binary64_1815`
4×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
3×	`cancel-sign-sub-inv_binary64_1749` `pow1/3_binary64_1865` `flip3-+_binary64_1786` `flip-+_binary64_1757`
2×	`diff-log_binary64_1875`
1×	`sum-log_binary64_1874` `flip3--_binary64_1787` `sub-neg_binary64_1776` `flip--_binary64_1758` `difference-of-squares_binary64_1752` `distribute-lft-out--_binary64_1735` `associate--r+_binary64_1719`

Counts

4 → 57

Calls

4 calls:

12.0ms	(-.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))))))))
5.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
5.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
5.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))

Compiler

Compiled 3507 to 474 computations (86.5% saved)

series1.4s (10%)

Error

43.8b

Counts

4 → 69

Calls

4 calls:

352.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
335.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
327.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
234.0ms	(-.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)

simplify163.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (113.0ms)

Iter	Nodes	Cost
0	4958	2291
1	4958	2291

prune266.0ms (1.9%)

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	1	23	24
Picked	0	1	1
Done	0	1	1
Total	126	26	152

Error

43.8b

Counts

152 → 26

Compiler

Compiled 5186 to 1173 computations (77.4% saved)

regimes1.4s (9.6%)

Accuracy

Total 1.4b remaining (3%)

Threshold costs 0b (0%)

Compiler

Compiled 16502 to 5644 computations (65.8% saved)

bsearch0.0ms (0%)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	95	17
1	95	17

end0.0ms (0%)

sample4.9s (34.9%)

Algorithm

1×

intervals

Results

609.0ms	2798×	body	1024	valid
306.0ms	1114×	body	2048	valid
205.0ms	1243×	body	512	valid
129.0ms	2275×	body	128	valid
61.0ms	568×	body	256	valid
1.0ms	2×	body	4096	valid

Compiler

Compiled 4144 to 1428 computations (65.5% saved)

Details

analyze1.0s (7.1%)

sample64.0ms (0.5%)

simplify55.0ms (0.4%)

prune4.0ms (0%)

localize15.0ms (0.1%)

rewrite83.0ms (0.6%)

series375.0ms (2.7%)

simplify121.0ms (0.9%)

prune106.0ms (0.8%)

localize23.0ms (0.2%)

rewrite159.0ms (1.1%)

series1.2s (8.8%)

simplify223.0ms (1.6%)

prune235.0ms (1.7%)

localize34.0ms (0.2%)

rewrite198.0ms (1.4%)

series1.4s (9.7%)

simplify125.0ms (0.9%)

prune334.0ms (2.4%)

localize31.0ms (0.2%)

rewrite184.0ms (1.3%)

series1.4s (10%)

simplify163.0ms (1.2%)

prune266.0ms (1.9%)

regimes1.4s (9.6%)

bsearch0.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample4.9s (34.9%)

Profiling