Details

analyze550.0ms (11.8%)

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)

sample31.0ms (0.7%)

Algorithm

1×

intervals

Results

11.0ms	98×	body	1024	valid
6.0ms	40×	body	2048	valid
3.0ms	34×	body	512	valid
2.0ms	59×	body	128	valid
1.0ms	25×	body	256	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify31.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	504	17
1	504	17

prune2.0ms (0.1%)

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

Merged error: 48.4b

Counts

2 → 1

Compiler

Compiled 24 to 18 computations (25% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x y) z)
11.3b	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))

rewrite15.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

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)

series58.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

37.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))
20.0ms	(+.f64 (*.f64 x y) z)

simplify66.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5156	667

prune42.0ms (0.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	31	7	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	8	39

Merged error: 47.8b

Counts

39 → 8

Compiler

Compiled 821 to 312 computations (62% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

8.9b	(cbrt.f64 (+.f64 z (*.f64 x y)))
8.9b	(cbrt.f64 (+.f64 z (*.f64 x y)))
8.9b	(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))))))

rewrite19.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

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

series372.0ms (8%)

Counts

4 → 12

Calls

4 calls:

110.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
108.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
107.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
46.0ms	(-.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))))))

simplify124.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4869	1238
1	4869	1238

prune96.0ms (2.1%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	59	10	69
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	59	18	77

Merged error: 47.6b

Counts

77 → 18

Compiler

Compiled 2544 to 734 computations (71.1% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

8.9b	(cbrt.f64 (+.f64 z (*.f64 x y)))
8.9b	(cbrt.f64 (+.f64 z (*.f64 x y)))
8.9b	(cbrt.f64 (+.f64 z (*.f64 x y)))
37.5b	(-.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))))))))

rewrite22.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

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)))

series360.0ms (7.7%)

Counts

4 → 12

Calls

4 calls:

107.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
101.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
94.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
57.0ms	(-.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))))))))

simplify85.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4868	1184
1	4868	1184

prune113.0ms (2.4%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	65	4	69
Fresh	0	15	15
Picked	1	0	1
Done	0	2	2
Total	66	21	87

Merged error: 47.6b

Counts

87 → 21

Compiler

Compiled 3534 to 889 computations (74.8% saved)

localize25.0ms (0.5%)

Local error

Found 4 expressions with local error:

8.9b	(cbrt.f64 (+.f64 z (*.f64 x y)))
8.9b	(cbrt.f64 (+.f64 z (*.f64 x y)))
8.9b	(cbrt.f64 (+.f64 z (*.f64 x y)))
37.5b	(-.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 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y)))) 2) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y))))))))))

rewrite24.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

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 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y)))) 2) (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)))

series375.0ms (8%)

Counts

4 → 12

Calls

4 calls:

109.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
105.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
104.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
56.0ms	(-.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 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y)))) 2) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y))))))))))

simplify87.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4925	1190
1	4925	1190

prune104.0ms (2.2%)

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	63	6	69
Fresh	4	14	18
Picked	1	0	1
Done	0	2	2
Total	68	22	90

Merged error: 47.6b

Counts

90 → 22

Compiler

Compiled 3441 to 788 computations (77.1% saved)

regimes335.0ms (7.2%)

Compiler: Compiled 5830 to 2552 computations (56.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	95	17
1	95	17

end0.0ms (0%)

sample1.7s (36.2%)

Algorithm

1×

intervals

Results

317.0ms	2718×	body	1024	valid
177.0ms	1198×	body	2048	valid
105.0ms	1203×	body	512	valid
76.0ms	2297×	body	128	valid
35.0ms	584×	body	256	valid

Compiler

Compiled 1476 to 655 computations (55.6% saved)

Details

analyze550.0ms (11.8%)

sample31.0ms (0.7%)

simplify31.0ms (0.7%)

prune2.0ms (0.1%)

localize8.0ms (0.2%)

rewrite15.0ms (0.3%)

series58.0ms (1.2%)

simplify66.0ms (1.4%)

prune42.0ms (0.9%)

localize12.0ms (0.3%)

rewrite19.0ms (0.4%)

series372.0ms (8%)

simplify124.0ms (2.7%)

prune96.0ms (2.1%)

localize17.0ms (0.4%)

rewrite22.0ms (0.5%)

series360.0ms (7.7%)

simplify85.0ms (1.8%)

prune113.0ms (2.4%)

localize25.0ms (0.5%)

rewrite24.0ms (0.5%)

series375.0ms (8%)

simplify87.0ms (1.9%)

prune104.0ms (2.2%)

regimes335.0ms (7.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.7s (36.2%)

Profiling