Details

analyze594.0ms (1.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4905	64
1	4905	64
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
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
35.9%	55.4%	8.7%	10
42.9%	47.6%	9.5%	11
51.5%	38.2%	10.3%	12
55%	30%	15%	13
59.5%	25.3%	15.3%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample582.0ms (1.7%)

Algorithm

1×

intervals

Results

9.0ms	238×	body	128	valid
5.0ms	76×	body	128	invalid
1.0ms	10×	body	1024	valid
1.0ms	5×	body	512	valid
0.0ms	3×	body	256	valid

Compiler

Compiled 4675 to 5340 computations (-14.2% saved)

simplify216.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (211.0ms)

Iter	Nodes	Cost
0	2426	16
1	2426	16

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.3b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
0.0b	(*.f64 (-.f64 y x) 6)
0.3b	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))

rewrite128.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-sqr-sqrt_binary64_9648`
14×	`*-un-lft-identity_binary64_9626`
12×	`cancel-sign-sub-inv_binary64_9592`
10×	`pow1_binary64_9687` `add-exp-log_binary64_9664` `add-cbrt-cube_binary64_9662` `add-cube-cbrt_binary64_9661` `associate-*l/_binary64_9569`
8×	`distribute-rgt-in_binary64_9576` `distribute-lft-in_binary64_9575` `associate-r_binary64_9566` `associate-+r+_binary64_9558`
7×	`flip3--_binary64_9630` `flip--_binary64_9601`
6×	`associate-l_binary64_9567`
5×	`add-log-exp_binary64_9665`
4×	`pow-prod-down_binary64_9697` `prod-exp_binary64_9675` `cbrt-unprod_binary64_9659` `frac-times_binary64_9636` `sub-neg_binary64_9619`
2×	`associate-r/_binary64_9568` `difference-of-squares_binary64_9595` `distribute-lft-out--_binary64_9578` `-commutative_binary64_9557`
1×	`unswap-sqr_binary64_9594` `sum-log_binary64_9717` `flip3-+_binary64_9629` `flip-+_binary64_9600` `+-commutative_binary64_9556`

Counts

3 → 77

Calls

3 calls:

12.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))
6.0ms	(*.f64 (-.f64 y x) 6)
4.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))

Compiler

Compiled 1580 to 884 computations (44.1% saved)

series838.0ms (2.4%)

Error

0.1b

Counts

3 → 48

Calls

3 calls:

403.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
294.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))
96.0ms	(*.f64 (-.f64 y x) 6)

Compiler

Compiled 1734 to 1353 computations (22% saved)

simplify74.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5048	1779

prune131.0ms (0.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	120	5	125
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	120	6	126

Error

0.0b

Counts

126 → 6

Compiler

Compiled 1983 to 1128 computations (43.1% saved)

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 4 (*.f64 z 6))
0.0b	(+.f64 x (.f64 (-.f64 y x) (-.f64 4 (.f64 z 6))))
0.1b	(.f64 (-.f64 y x) (-.f64 4 (.f64 z 6)))

rewrite81.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-sqr-sqrt_binary64_9648`
7×	`add-log-exp_binary64_9665` `flip3--_binary64_9630` `flip--_binary64_9601` `*-un-lft-identity_binary64_9626`
5×	`pow1_binary64_9687` `add-exp-log_binary64_9664` `add-cbrt-cube_binary64_9662` `add-cube-cbrt_binary64_9661` `sub-neg_binary64_9619` `cancel-sign-sub-inv_binary64_9592` `associate-l_binary64_9567`
4×	`frac-times_binary64_9636` `distribute-rgt-in_binary64_9576` `distribute-lft-in_binary64_9575` `associate-+r+_binary64_9558`
3×	`associate-r_binary64_9566`
2×	`associate-l/_binary64_9569` `associate-r/_binary64_9568`
1×	`pow-prod-down_binary64_9697` `prod-exp_binary64_9675` `cbrt-unprod_binary64_9659` `unswap-sqr_binary64_9594` `difference-of-squares_binary64_9595` `distribute-lft-out--_binary64_9578` `*-commutative_binary64_9557` `sum-log_binary64_9717` `flip3-+_binary64_9629` `flip-+_binary64_9600` `+-commutative_binary64_9556` `diff-log_binary64_9718`

Counts

3 → 59

Calls

3 calls:

9.0ms	(.f64 (-.f64 y x) (-.f64 4 (.f64 z 6)))
4.0ms	(+.f64 x (.f64 (-.f64 y x) (-.f64 4 (.f64 z 6))))
3.0ms	(-.f64 4 (*.f64 z 6))

Compiler

Compiled 1245 to 753 computations (39.5% saved)

series740.0ms (2.1%)

Error

0.0b

Counts

3 → 42

Calls

3 calls:

401.0ms	(+.f64 x (.f64 (-.f64 y x) (-.f64 4 (.f64 z 6))))
263.0ms	(.f64 (-.f64 y x) (-.f64 4 (.f64 z 6)))
41.0ms	(-.f64 4 (*.f64 z 6))

Compiler

Compiled 1553 to 1189 computations (23.4% saved)

simplify58.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4966	1678
1	4966	1678

prune102.0ms (0.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	101	6	107

Error

0.0b

Counts

107 → 6

Compiler

Compiled 1698 to 997 computations (41.3% saved)

localize11.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (-.f64 y x))
0.0b	(+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (*.f64 x -3))
0.0b	(+.f64 (.f64 4 y) (+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (.f64 x -3)))
0.3b	(.f64 -6 (.f64 z (-.f64 y x)))

rewrite167.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

36×	`distribute-rgt-in_binary64_9576` `distribute-lft-in_binary64_9575`
30×	`cancel-sign-sub-inv_binary64_9592`
21×	`add-sqr-sqrt_binary64_9648`
19×	`*-un-lft-identity_binary64_9626`
17×	`add-cube-cbrt_binary64_9661`
16×	`associate-+l+_binary64_9559`
11×	`pow1_binary64_9687` `add-exp-log_binary64_9664` `add-log-exp_binary64_9665` `add-cbrt-cube_binary64_9662`
10×	`sub-neg_binary64_9619`
6×	`associate-r/_binary64_9568` `associate-l_binary64_9567` `associate-r*_binary64_9566`
4×	`pow-prod-down_binary64_9697` `prod-exp_binary64_9675` `cbrt-unprod_binary64_9659` `sum-log_binary64_9717`
2×	`flip3--_binary64_9630` `flip--_binary64_9601` `*-commutative_binary64_9557` `flip3-+_binary64_9629` `flip-+_binary64_9600` `+-commutative_binary64_9556`
1×	`associate-+r+_binary64_9558` `unswap-sqr_binary64_9594` `difference-of-squares_binary64_9595` `distribute-lft-out--_binary64_9578`

Counts

4 → 106

Calls

4 calls:

11.0ms	(+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (*.f64 x -3))
10.0ms	(+.f64 (.f64 4 y) (+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (.f64 x -3)))
8.0ms	(.f64 -6 (.f64 z (-.f64 y x)))
7.0ms	(*.f64 z (-.f64 y x))

Compiler

Compiled 2504 to 1352 computations (46% saved)

series1.2s (3.3%)

Error

0.0b

Counts

4 → 66

Calls

4 calls:

433.0ms	(+.f64 (.f64 4 y) (+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (.f64 x -3)))
341.0ms	(+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (*.f64 x -3))
194.0ms	(.f64 -6 (.f64 z (-.f64 y x)))
140.0ms	(*.f64 z (-.f64 y x))

Compiler

Compiled 2626 to 2018 computations (23.2% saved)

simplify51.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	4972	2317
1	4972	2317

prune171.0ms (0.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	171	1	172
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	172	6	178

Error

0.0b

Counts

178 → 6

Compiler

Compiled 3097 to 1764 computations (43% saved)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x))))) (cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (*.f64 6 (-.f64 y x))))))
0.6b	(cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x)))))
0.6b	(cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x)))))
0.6b	(cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x)))))

rewrite279.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_9657`
23×	`add-sqr-sqrt_binary64_9648`
18×	`cbrt-div_binary64_9658`
15×	`add-cube-cbrt_binary64_9661` `*-un-lft-identity_binary64_9626`
11×	`pow1_binary64_9687`
9×	`pow1/3_binary64_9708` `flip3-+_binary64_9629` `flip-+_binary64_9600`
6×	`add-exp-log_binary64_9664` `swap-sqr_binary64_9593` `associate-l_binary64_9567` `associate-r_binary64_9566`
4×	`add-log-exp_binary64_9665` `add-cbrt-cube_binary64_9662` `frac-times_binary64_9636` `unswap-sqr_binary64_9594`
2×	`pow-prod-down_binary64_9697` `pow-prod-up_binary64_9696` `pow-sqr_binary64_9599` `associate-l/_binary64_9569` `associate-r/_binary64_9568`
1×	`pow2_binary64_9707` `pow-plus_binary64_9689` `prod-exp_binary64_9675` `cbrt-unprod_binary64_9659` `*-commutative_binary64_9557`

Counts

4 → 87

Calls

4 calls:

10.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x))))) (cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (*.f64 6 (-.f64 y x))))))
3.0ms	(cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x)))))
3.0ms	(cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x)))))
3.0ms	(cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x)))))

Compiler

Compiled 4856 to 3013 computations (38% saved)

series9.1s (26.3%)

Error

0.0b

Counts

4 → 84

Calls

4 calls:

4.7s	(.f64 (cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x))))) (cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (*.f64 6 (-.f64 y x))))))
1.2s	(cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x)))))
1.2s	(cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x)))))
1.2s	(cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x)))))

Compiler

Compiled 28594 to 22783 computations (20.3% saved)

simplify134.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5142	15596

prune997.0ms (2.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	168	3	171
Fresh	0	2	2
Picked	1	0	1
Done	1	2	3
Total	170	7	177

Error

0.0b

Counts

177 → 7

Compiler

Compiled 14227 to 9396 computations (34% saved)

regimes772.0ms (2.2%)

Accuracy

Total 0.2b remaining (90.3%)

Threshold costs 0.2b (90.3%)

Compiler

Compiled 9071 to 6970 computations (23.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	16
1	48	16

end0.0ms (0%)

sample18.3s (52.6%)

Algorithm

1×

intervals

Results

274.0ms	7297×	body	128	valid
127.0ms	2136×	body	128	invalid
35.0ms	261×	body	1024	valid
28.0ms	243×	body	512	valid
14.0ms	199×	body	256	valid

Compiler

Compiled 143726 to 163575 computations (-13.8% saved)

Details

analyze594.0ms (1.7%)

sample582.0ms (1.7%)

simplify216.0ms (0.6%)

prune3.0ms (0%)

localize8.0ms (0%)

rewrite128.0ms (0.4%)

series838.0ms (2.4%)

simplify74.0ms (0.2%)

prune131.0ms (0.4%)

localize8.0ms (0%)

rewrite81.0ms (0.2%)

series740.0ms (2.1%)

simplify58.0ms (0.2%)

prune102.0ms (0.3%)

localize11.0ms (0%)

rewrite167.0ms (0.5%)

series1.2s (3.3%)

simplify51.0ms (0.1%)

prune171.0ms (0.5%)

localize15.0ms (0%)

rewrite279.0ms (0.8%)

series9.1s (26.3%)

simplify134.0ms (0.4%)

prune997.0ms (2.9%)

regimes772.0ms (2.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample18.3s (52.6%)

Profiling