Details

analyze526.0ms (6.3%)

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)

sample30.0ms (0.4%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify241.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (235.0ms)

Iter	Nodes	Cost
0	4948	18
1	4948	18

prune4.0ms (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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite149.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-log-exp_binary64_10347` `*-un-lft-identity_binary64_10308`
12×	`add-sqr-sqrt_binary64_10330`
8×	`add-cube-cbrt_binary64_10343`
6×	`pow1_binary64_10369` `log-prod_binary64_10394`
5×	`diff-log_binary64_10400` `add-exp-log_binary64_10346` `add-cbrt-cube_binary64_10344`
4×	`sum-log_binary64_10399` `cancel-sign-sub-inv_binary64_10274` `associate-l_binary64_10249` `associate-r_binary64_10248`
3×	`distribute-lft-out_binary64_10259` `distribute-rgt-in_binary64_10258` `distribute-lft-in_binary64_10257`
2×	`flip3-+_binary64_10311` `flip-+_binary64_10282` `associate-+l-_binary64_10243` `sub-neg_binary64_10301` `associate-+l+_binary64_10241` `associate-*l/_binary64_10251` `distribute-lft-out--_binary64_10260`
1×	`+-commutative_binary64_10238` `pow-prod-down_binary64_10379` `prod-exp_binary64_10357` `cbrt-unprod_binary64_10341` `unswap-sqr_binary64_10276` `log-pow_binary64_10397` `*-commutative_binary64_10239` `flip3--_binary64_10312` `flip--_binary64_10283` `difference-of-squares_binary64_10277` `associate--l-_binary64_10246` `associate--l+_binary64_10245`

Counts

3 → 65

Calls

3 calls:

16.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
14.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))
11.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)

Compiler

Compiled 1316 to 731 computations (44.5% saved)

series902.0ms (10.9%)

Error

0.1b

Counts

3 → 33

Calls

3 calls:

464.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
317.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
90.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))

Compiler

Compiled 1109 to 783 computations (29.4% saved)

simplify85.0ms (1%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4928	1505
1	4928	1505

prune120.0ms (1.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	90	8	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	8	99

Error

0.0b

Counts

99 → 8

Compiler

Compiled 1618 to 859 computations (46.9% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite125.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-log-exp_binary64_10347`
11×	`add-sqr-sqrt_binary64_10330` `*-un-lft-identity_binary64_10308`
7×	`add-cube-cbrt_binary64_10343`
6×	`pow1_binary64_10369` `associate-*r/_binary64_10250` `cancel-sign-sub-inv_binary64_10274`
5×	`add-exp-log_binary64_10346` `add-cbrt-cube_binary64_10344` `diff-log_binary64_10400`
4×	`flip3-+_binary64_10311` `flip-+_binary64_10282` `associate-l_binary64_10249` `associate-r_binary64_10248` `sum-log_binary64_10399` `frac-add_binary64_10316` `associate-+r+_binary64_10240`
3×	`flip3--_binary64_10312` `flip--_binary64_10283`
2×	`distribute-rgt-in_binary64_10258` `distribute-lft-in_binary64_10257` `associate-+r-_binary64_10242` `associate-+l+_binary64_10241` `sub-neg_binary64_10301`
1×	`pow-prod-down_binary64_10379` `prod-exp_binary64_10357` `cbrt-unprod_binary64_10341` `unswap-sqr_binary64_10276` `log-pow_binary64_10397` `distribute-lft-out_binary64_10259` `*-commutative_binary64_10239` `+-commutative_binary64_10238` `difference-of-squares_binary64_10277` `distribute-lft-out--_binary64_10260` `associate--r-_binary64_10247` `associate--r+_binary64_10244`

Counts

3 → 67

Calls

3 calls:

11.0ms	(+.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) (-.f64 z y))
10.0ms	(-.f64 x (+.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) (-.f64 z y)))
7.0ms	(*.f64 (log.f64 y) (+.f64 y 1/2))

Compiler

Compiled 1494 to 734 computations (50.9% saved)

series884.0ms (10.7%)

Error

0.0b

Counts

3 → 33

Calls

3 calls:

457.0ms	(-.f64 x (+.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) (-.f64 z y)))
301.0ms	(+.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) (-.f64 z y))
98.0ms	(*.f64 (log.f64 y) (+.f64 y 1/2))

Compiler

Compiled 1113 to 783 computations (29.6% saved)

simplify81.0ms (1%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5069	1707

prune91.0ms (1.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	100	8	108

Error

0.0b

Counts

108 → 8

Compiler

Compiled 1708 to 828 computations (51.5% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y)))
0.3b	(+.f64 (.f64 (+.f64 y 1/2) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite198.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`log-prod_binary64_10394`
18×	`cbrt-prod_binary64_10339` `add-sqr-sqrt_binary64_10330` `*-un-lft-identity_binary64_10308`
16×	`add-cube-cbrt_binary64_10343`
12×	`distribute-rgt-in_binary64_10258` `associate-+r+_binary64_10240` `distribute-lft-in_binary64_10257`
10×	`associate-*l/_binary64_10251`
7×	`pow1_binary64_10369`
6×	`add-log-exp_binary64_10347` `add-exp-log_binary64_10346` `add-cbrt-cube_binary64_10344` `flip3-+_binary64_10311` `flip-+_binary64_10282`
5×	`associate-r_binary64_10248`
4×	`frac-add_binary64_10316` `associate-l_binary64_10249`
3×	`pow1/3_binary64_10390`
2×	`distribute-lft-out_binary64_10259` `log-pow_binary64_10397`
1×	`sum-log_binary64_10399` `+-commutative_binary64_10238` `pow-prod-down_binary64_10379` `prod-exp_binary64_10357` `cbrt-unprod_binary64_10341` `unswap-sqr_binary64_10276` `*-commutative_binary64_10239`

Counts

4 → 85

Calls

4 calls:

12.0ms	(+.f64 (.f64 (+.f64 y 1/2) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y))))
8.0ms	(*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y)))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 2807 to 1527 computations (45.6% saved)

series670.0ms (8.1%)

Error

0.0b

Counts

4 → 16

Calls

4 calls:

307.0ms	(+.f64 (.f64 (+.f64 y 1/2) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y))))
176.0ms	(*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y)))
82.0ms	(cbrt.f64 y)
75.0ms	(cbrt.f64 y)

Compiler

Compiled 1096 to 871 computations (20.5% saved)

simplify109.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4898	1470
1	4898	1470

prune147.0ms (1.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	103	6	109

Error

Counts

109 → 6

Compiler

Compiled 2768 to 1571 computations (43.2% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (log.f64 (cbrt.f64 y)) (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)))

rewrite265.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

35×	`cbrt-prod_binary64_10339`
33×	`*-un-lft-identity_binary64_10308`
29×	`add-sqr-sqrt_binary64_10330`
17×	`add-cube-cbrt_binary64_10343`
14×	`pow1_binary64_10369` `cbrt-div_binary64_10340` `associate-r_binary64_10248`
12×	`associate-l_binary64_10249`
9×	`pow1/3_binary64_10390` `swap-sqr_binary64_10275`
8×	`add-exp-log_binary64_10346`
7×	`flip3-+_binary64_10311` `flip-+_binary64_10282` `distribute-lft-out_binary64_10259`
6×	`unswap-sqr_binary64_10276`
5×	`add-cbrt-cube_binary64_10344`
4×	`add-log-exp_binary64_10347` `frac-times_binary64_10318` `associate-*r/_binary64_10250`
3×	`pow-prod-down_binary64_10379`
2×	`pow-prod-up_binary64_10378` `prod-exp_binary64_10357` `cbrt-unprod_binary64_10341` `pow-sqr_binary64_10281` `associate-l/_binary64_10251` `-commutative_binary64_10239` `log-pow_binary64_10397`
1×	`pow2_binary64_10389` `pow-plus_binary64_10371`

Counts

4 → 102

Calls

4 calls:

16.0ms	(*.f64 (log.f64 (cbrt.f64 y)) (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 4223 to 2721 computations (35.6% saved)

series416.0ms (5%)

Error

Counts

4 → 18

Calls

4 calls:

118.0ms	(*.f64 (log.f64 (cbrt.f64 y)) (cbrt.f64 (+.f64 y 1/2)))
103.0ms	(cbrt.f64 y)
98.0ms	(cbrt.f64 y)
47.0ms	(*.f64 (cbrt.f64 (+.f64 y 1/2)) (cbrt.f64 (+.f64 y 1/2)))

Compiler

Compiled 1916 to 1514 computations (21% saved)

simplify67.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4971	1691
1	4971	1691

prune267.0ms (3.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	120	6	126

Error

Counts

126 → 6

Compiler

Compiled 4648 to 2987 computations (35.7% saved)

regimes677.0ms (8.2%)

Accuracy

Total 0.1b remaining (98%)

Threshold costs 0.1b (98%)

Compiler

Compiled 6351 to 4837 computations (23.8% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	199	18
1	199	18

end0.0ms (0%)

sample2.2s (26%)

Algorithm

1×

intervals

Results

463.0ms	8000×	body	128	valid
2.0ms	34×	body	128	invalid

Compiler

Compiled 1234 to 945 computations (23.4% saved)

Details

analyze526.0ms (6.3%)

sample30.0ms (0.4%)

simplify241.0ms (2.9%)

prune4.0ms (0.1%)

localize17.0ms (0.2%)

rewrite149.0ms (1.8%)

series902.0ms (10.9%)

simplify85.0ms (1%)

prune120.0ms (1.4%)

localize9.0ms (0.1%)

rewrite125.0ms (1.5%)

series884.0ms (10.7%)

simplify81.0ms (1%)

prune91.0ms (1.1%)

localize24.0ms (0.3%)

rewrite198.0ms (2.4%)

series670.0ms (8.1%)

simplify109.0ms (1.3%)

prune147.0ms (1.8%)

localize21.0ms (0.3%)

rewrite265.0ms (3.2%)

series416.0ms (5%)

simplify67.0ms (0.8%)

prune267.0ms (3.2%)

regimes677.0ms (8.2%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample2.2s (26%)

Profiling