Details

analyze473.0ms (6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4949	72
1	4949	72
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%	74.9%	25.1%	6
6.2%	68.6%	25.1%	7
10.1%	64.7%	25.1%	8
17.2%	32.8%	50.1%	9
23%	26.9%	50.1%	10
26.8%	23.1%	50.1%	11
31.6%	18.3%	50.1%	12
35.2%	14.7%	50.1%	13
37.5%	12.4%	50.1%	14

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample22.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify173.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (168.0ms)

Iter	Nodes	Cost
0	4948	18
1	4948	18

prune3.0ms (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

0.1b

Counts

2 → 1

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))
0.0b	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
0.1b	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
0.2b	(*.f64 (+.f64 y 1/2) (log.f64 y))

rewrite120.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-log-exp_binary64_9665` `*-un-lft-identity_binary64_9626`
15×	`add-sqr-sqrt_binary64_9648`
12×	`log-prod_binary64_9712`
11×	`add-cube-cbrt_binary64_9661`
7×	`pow1_binary64_9687`
6×	`add-exp-log_binary64_9664` `add-cbrt-cube_binary64_9662` `distribute-rgt-in_binary64_9576` `distribute-lft-in_binary64_9575` `diff-log_binary64_9718` `associate--r+_binary64_9562`
5×	`cancel-sign-sub-inv_binary64_9592`
4×	`associate-l_binary64_9567` `associate-r_binary64_9566` `sum-log_binary64_9717`
3×	`distribute-lft-out_binary64_9577` `sub-neg_binary64_9619`
2×	`flip3-+_binary64_9629` `associate-*l/_binary64_9569` `flip-+_binary64_9600` `associate-+l-_binary64_9561` `associate-+l+_binary64_9559` `flip3--_binary64_9630` `flip--_binary64_9601` `distribute-lft-out--_binary64_9578`
1×	`pow-prod-down_binary64_9697` `prod-exp_binary64_9675` `cbrt-unprod_binary64_9659` `unswap-sqr_binary64_9594` `log-pow_binary64_9715` `*-commutative_binary64_9557` `+-commutative_binary64_9556` `difference-of-squares_binary64_9595` `associate--l-_binary64_9564` `associate--l+_binary64_9563`

Counts

4 → 83

Calls

4 calls:

9.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
8.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))
6.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
4.0ms	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))

Compiler

Compiled 1701 to 938 computations (44.9% saved)

series982.0ms (12.5%)

Error

0.1b

Counts

4 → 44

Calls

4 calls:

385.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
245.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
244.0ms	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))
72.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))

Compiler

Compiled 1495 to 1049 computations (29.8% saved)

simplify113.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4804	1914
1	4804	1914

prune116.0ms (1.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	122	5	127
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	122	6	128

Error

0.0b

Counts

128 → 6

Compiler

Compiled 2049 to 1071 computations (47.7% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (log.f64 (cbrt.f64 y)) (+.f64 y 1/2))
0.2b	(-.f64 (-.f64 x (.f64 (+.f64 1/2 y) (.f64 (log.f64 (cbrt.f64 y)) 2))) (*.f64 (log.f64 (cbrt.f64 y)) (+.f64 y 1/2)))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite128.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-sqr-sqrt_binary64_9648` `*-un-lft-identity_binary64_9626`
9×	`add-log-exp_binary64_9665`
8×	`add-cube-cbrt_binary64_9661`
7×	`pow1_binary64_9687`
6×	`add-exp-log_binary64_9664` `add-cbrt-cube_binary64_9662` `cbrt-prod_binary64_9657` `associate-*r/_binary64_9568`
5×	`associate-l_binary64_9567`
4×	`frac-sub_binary64_9635` `associate-r_binary64_9566`
3×	`pow1/3_binary64_9708` `diff-log_binary64_9718` `flip3-+_binary64_9629` `flip3--_binary64_9630` `flip-+_binary64_9600` `flip--_binary64_9601`
2×	`sub-neg_binary64_9619` `cancel-sign-sub-inv_binary64_9592` `associate--l+_binary64_9563` `distribute-rgt-in_binary64_9576` `associate--r+_binary64_9562` `distribute-lft-in_binary64_9575` `log-pow_binary64_9715`
1×	`associate--l-_binary64_9564` `pow-prod-down_binary64_9697` `prod-exp_binary64_9675` `cbrt-unprod_binary64_9659` `unswap-sqr_binary64_9594` `distribute-lft-out_binary64_9577` `*-commutative_binary64_9557`

Counts

4 → 69

Calls

4 calls:

8.0ms	(-.f64 (-.f64 x (.f64 (+.f64 1/2 y) (.f64 (log.f64 (cbrt.f64 y)) 2))) (*.f64 (log.f64 (cbrt.f64 y)) (+.f64 y 1/2)))
8.0ms	(*.f64 (log.f64 (cbrt.f64 y)) (+.f64 y 1/2))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 2383 to 1310 computations (45% saved)

series827.0ms (10.5%)

Error

0.0b

Counts

4 → 22

Calls

4 calls:

505.0ms	(-.f64 (-.f64 x (.f64 (+.f64 1/2 y) (.f64 (log.f64 (cbrt.f64 y)) 2))) (*.f64 (log.f64 (cbrt.f64 y)) (+.f64 y 1/2)))
136.0ms	(*.f64 (log.f64 (cbrt.f64 y)) (+.f64 y 1/2))
82.0ms	(cbrt.f64 y)
76.0ms	(cbrt.f64 y)

Compiler

Compiled 1339 to 1067 computations (20.3% saved)

simplify88.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4894	1425
1	4894	1425

prune119.0ms (1.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	89	2	91
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	90	7	97

Error

Counts

97 → 7

Compiler

Compiled 2495 to 1418 computations (43.2% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (.f64 (log.f64 (cbrt.f64 y)) (*.f64 (cbrt.f64 (+.f64 y 1/2)) (cbrt.f64 (+.f64 y 1/2)))) (cbrt.f64 (+.f64 y 1/2)))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.7b	(*.f64 (cbrt.f64 (+.f64 y 1/2)) (cbrt.f64 (+.f64 y 1/2)))

rewrite339.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

66×	`cbrt-div_binary64_9658`
34×	`cbrt-prod_binary64_9657` `associate-*r/_binary64_9568`
33×	`flip3-+_binary64_9629` `flip-+_binary64_9600`
32×	`frac-times_binary64_9636` `*-un-lft-identity_binary64_9626`
24×	`add-sqr-sqrt_binary64_9648`
20×	`pow1_binary64_9687`
16×	`add-cube-cbrt_binary64_9661` `associate-*l/_binary64_9569`
15×	`add-exp-log_binary64_9664`
14×	`associate-r_binary64_9566`
9×	`swap-sqr_binary64_9593`
8×	`pow1/3_binary64_9708` `pow-prod-down_binary64_9697` `add-cbrt-cube_binary64_9662` `associate-l_binary64_9567`
7×	`prod-exp_binary64_9675` `cbrt-unprod_binary64_9659` `distribute-lft-out_binary64_9577`
4×	`add-log-exp_binary64_9665` `unswap-sqr_binary64_9594`
2×	`pow-prod-up_binary64_9696` `pow-sqr_binary64_9599` `*-commutative_binary64_9557`
1×	`pow2_binary64_9707` `pow-plus_binary64_9689`

Counts

4 → 126

Calls

4 calls:

21.0ms	(.f64 (.f64 (log.f64 (cbrt.f64 y)) (*.f64 (cbrt.f64 (+.f64 y 1/2)) (cbrt.f64 (+.f64 y 1/2)))) (cbrt.f64 (+.f64 y 1/2)))
12.0ms	(*.f64 (cbrt.f64 (+.f64 y 1/2)) (cbrt.f64 (+.f64 y 1/2)))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 5784 to 3777 computations (34.7% saved)

series384.0ms (4.9%)

Error

Counts

4 → 19

Calls

4 calls:

131.0ms	(.f64 (.f64 (log.f64 (cbrt.f64 y)) (*.f64 (cbrt.f64 (+.f64 y 1/2)) (cbrt.f64 (+.f64 y 1/2)))) (cbrt.f64 (+.f64 y 1/2)))
82.0ms	(cbrt.f64 y)
76.0ms	(cbrt.f64 y)
67.0ms	(*.f64 (cbrt.f64 (+.f64 y 1/2)) (cbrt.f64 (+.f64 y 1/2)))

Compiler

Compiled 1785 to 1380 computations (22.7% saved)

simplify92.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4927	2705
1	4927	2705

prune283.0ms (3.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	145	7	152

Error

Counts

152 → 7

Compiler

Compiled 5664 to 3627 computations (36% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (-.f64 x (.f64 (sqrt.f64 (+.f64 y 1/2)) (.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y))))) y) z)
0.1b	(+.f64 (-.f64 x (.f64 (sqrt.f64 (+.f64 y 1/2)) (.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y))))) y)
0.4b	(*.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y)))
0.4b	(.f64 (sqrt.f64 (+.f64 y 1/2)) (.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y))))

rewrite170.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

21×	`*-un-lft-identity_binary64_9626`
18×	`add-log-exp_binary64_9665`
16×	`add-sqr-sqrt_binary64_9648`
14×	`sqrt-div_binary64_9643`
12×	`pow1_binary64_9687`
11×	`add-exp-log_binary64_9664` `add-cbrt-cube_binary64_9662` `associate-l_binary64_9567`
10×	`add-cube-cbrt_binary64_9661` `associate-*r/_binary64_9568`
9×	`sqrt-prod_binary64_9642`
8×	`flip3-+_binary64_9629` `flip-+_binary64_9600` `associate-r_binary64_9566`
5×	`diff-log_binary64_9718`
4×	`pow-prod-down_binary64_9697` `prod-exp_binary64_9675` `cbrt-unprod_binary64_9659` `frac-times_binary64_9636` `distribute-lft-out_binary64_9577` `sum-log_binary64_9717` `cancel-sign-sub-inv_binary64_9592`
2×	`associate-l/_binary64_9569` `-commutative_binary64_9557` `unswap-sqr_binary64_9594` `associate-+l-_binary64_9561` `sub-neg_binary64_9619` `associate-+l+_binary64_9559` `distribute-lft-out--_binary64_9578`
1×	`log-pow_binary64_9715` `+-commutative_binary64_9556` `flip3--_binary64_9630` `flip--_binary64_9601` `difference-of-squares_binary64_9595` `associate--l-_binary64_9564` `associate--l+_binary64_9563`

Counts

4 → 93

Calls

4 calls:

14.0ms	(.f64 (sqrt.f64 (+.f64 y 1/2)) (.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y))))
9.0ms	(-.f64 (+.f64 (-.f64 x (.f64 (sqrt.f64 (+.f64 y 1/2)) (.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y))))) y) z)
8.0ms	(+.f64 (-.f64 x (.f64 (sqrt.f64 (+.f64 y 1/2)) (.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y))))) y)
8.0ms	(*.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y)))

Compiler

Compiled 2675 to 1735 computations (35.1% saved)

series769.0ms (9.8%)

Error

Counts

4 → 37

Calls

4 calls:

371.0ms	(-.f64 (+.f64 (-.f64 x (.f64 (sqrt.f64 (+.f64 y 1/2)) (.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y))))) y) z)
242.0ms	(+.f64 (-.f64 x (.f64 (sqrt.f64 (+.f64 y 1/2)) (.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y))))) y)
85.0ms	(.f64 (sqrt.f64 (+.f64 y 1/2)) (.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y))))
39.0ms	(*.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y)))

Compiler

Compiled 1416 to 1021 computations (27.9% saved)

simplify66.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5238	2038

prune114.0ms (1.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	130	7	137

Error

Counts

137 → 7

Compiler

Compiled 2375 to 1368 computations (42.4% saved)

regimes576.0ms (7.3%)

Accuracy

Total 0.1b remaining (97.5%)

Threshold costs 0.1b (97.5%)

Compiler

Compiled 6033 to 4840 computations (19.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	108	37
1	108	37

end0.0ms (0%)

sample1.8s (23.3%)

Algorithm

1×

intervals

Results

380.0ms	7999×	body	128	valid
2.0ms	45×	body	128	invalid
0.0ms	1×	body	512	valid

Compiler

Compiled 1236 to 992 computations (19.7% saved)

Details

analyze473.0ms (6%)

sample22.0ms (0.3%)

simplify173.0ms (2.2%)

prune3.0ms (0%)

localize12.0ms (0.2%)

rewrite120.0ms (1.5%)

series982.0ms (12.5%)

simplify113.0ms (1.4%)

prune116.0ms (1.5%)

localize17.0ms (0.2%)

rewrite128.0ms (1.6%)

series827.0ms (10.5%)

simplify88.0ms (1.1%)

prune119.0ms (1.5%)

localize19.0ms (0.2%)

rewrite339.0ms (4.3%)

series384.0ms (4.9%)

simplify92.0ms (1.2%)

prune283.0ms (3.6%)

localize13.0ms (0.2%)

rewrite170.0ms (2.2%)

series769.0ms (9.8%)

simplify66.0ms (0.8%)

prune114.0ms (1.4%)

regimes576.0ms (7.3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.8s (23.3%)

Profiling