Details

analyze541.0ms (3.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5301	182
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6.1%	20.4%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.2%	16.6%	74.3%	14

Compiler

Compiled 18 to 17 computations (5.6% saved)

sample46.0ms (0.3%)

Algorithm

1×

intervals

Results

14.0ms	199×	body	128	valid
7.0ms	25×	body	512	valid
7.0ms	13×	body	1024	valid
3.0ms	18×	body	256	valid
1.0ms	1×	body	2048	valid
1.0ms	11×	body	128	nan
0.0ms	1×	body	128	invalid

Compiler

Compiled 35 to 37 computations (-5.7% saved)

simplify164.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (153.0ms)

Iter	Nodes	Cost
0	5003	26

prune5.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

7.4b

Counts

2 → 1

Compiler

Compiled 34 to 32 computations (5.9% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
0.0b	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
0.2b	(*.f64 (-.f64 x 1) (log.f64 y))
7.7b	(log.f64 (-.f64 1 y))

rewrite249.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

6.9b

Rules

37×	`add-sqr-sqrt_binary64_782`
31×	`*-un-lft-identity_binary64_760`
24×	`log-prod_binary64_846`
14×	`add-cube-cbrt_binary64_795` `associate-l_binary64_701`
11×	`pow1_binary64_821` `difference-of-squares_binary64_729`
9×	`add-exp-log_binary64_798` `add-log-exp_binary64_799` `distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709`
8×	`add-cbrt-cube_binary64_796` `associate-r_binary64_700`
6×	`distribute-lft-out--_binary64_712`
4×	`flip3--_binary64_764` `flip--_binary64_735` `associate-*l/_binary64_703`
3×	`log-pow_binary64_849` `cancel-sign-sub-inv_binary64_726`
2×	`log-div_binary64_847` `pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `difference-of-sqr-1_binary64_730` `*-commutative_binary64_691` `diff-log_binary64_852`
1×	`rem-log-exp_binary64_801` `sum-log_binary64_851` `sub-neg_binary64_753` `associate--l+_binary64_697`

Counts

4 → 103

Calls

4 calls:

23.0ms	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
12.0ms	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
11.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(log.f64 (-.f64 1 y))

Compiler

Compiled 2639 to 1790 computations (32.2% saved)

series1.5s (10.2%)

Error

0.1b

Counts

4 → 49

Calls

4 calls:

1.1s	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
159.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
114.0ms	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
38.0ms	(log.f64 (-.f64 1 y))

Compiler

Compiled 2467 to 1897 computations (23.1% saved)

simplify71.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5368	2709

prune250.0ms (1.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	141	11	152
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	142	11	153

Error

0.0b

Counts

153 → 11

Compiler

Compiled 3630 to 2403 computations (33.8% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y)))
0.0b	(.f64 (-.f64 z 1) (-.f64 (.f64 (pow.f64 y 4) -1/4) (+.f64 y (.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y))))))
0.2b	(*.f64 (-.f64 x 1) (log.f64 y))
0.3b	(*.f64 1/3 y)

rewrite304.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`add-sqr-sqrt_binary64_782`
21×	`*-un-lft-identity_binary64_760`
18×	`associate-l_binary64_701`
16×	`pow1_binary64_821`
15×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `add-cube-cbrt_binary64_795`
13×	`associate-r_binary64_700`
8×	`distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709`
7×	`flip3--_binary64_764` `flip--_binary64_735`
6×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `log-prod_binary64_846` `cancel-sign-sub-inv_binary64_726`
4×	`add-log-exp_binary64_799` `unswap-sqr_binary64_728` `-commutative_binary64_691` `associate-l/_binary64_703` `difference-of-squares_binary64_729` `frac-times_binary64_770` `associate-*r/_binary64_702`
2×	`difference-of-sqr-1_binary64_730` `distribute-lft-out--_binary64_712` `sub-neg_binary64_753`
1×	`log-pow_binary64_849` `flip3-+_binary64_763` `flip-+_binary64_734`

Counts

4 → 110

Calls

4 calls:

16.0ms	(.f64 (-.f64 z 1) (-.f64 (.f64 (pow.f64 y 4) -1/4) (+.f64 y (.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y))))))
8.0ms	(.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y)))
8.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(*.f64 1/3 y)

Compiler

Compiled 4575 to 2992 computations (34.6% saved)

series573.0ms (4%)

Error

0.0b

Counts

4 → 34

Calls

4 calls:

220.0ms	(.f64 (-.f64 z 1) (-.f64 (.f64 (pow.f64 y 4) -1/4) (+.f64 y (.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y))))))
192.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
80.0ms	(.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y)))
21.0ms	(*.f64 1/3 y)

Compiler

Compiled 2842 to 2195 computations (22.8% saved)

simplify109.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5053	3145

prune312.0ms (2.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	141	3	144
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	144	11	155

Error

0.0b

Counts

155 → 11

Compiler

Compiled 5627 to 3794 computations (32.6% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (log.f64 y) (+.f64 -1 x))
0.3b	(*.f64 1/3 y)
0.3b	(*.f64 1/3 y)
5.4b	(.f64 z (.f64 (.f64 y y) (+.f64 1/2 (.f64 1/3 y))))

rewrite207.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`pow1_binary64_821`
19×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
17×	`add-sqr-sqrt_binary64_782`
13×	`-un-lft-identity_binary64_760` `associate-l*_binary64_701`
11×	`add-cube-cbrt_binary64_795` `associate-r_binary64_700`
9×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793`
6×	`associate-*r/_binary64_702`
5×	`distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709`
4×	`add-log-exp_binary64_799` `*-commutative_binary64_691`
3×	`unswap-sqr_binary64_728`
2×	`flip3-+_binary64_763` `flip-+_binary64_734`
1×	`log-pow_binary64_849` `distribute-lft-out_binary64_711`

Counts

4 → 87

Calls

4 calls:

14.0ms	(.f64 z (.f64 (.f64 y y) (+.f64 1/2 (.f64 1/3 y))))
7.0ms	(*.f64 (log.f64 y) (+.f64 -1 x))
4.0ms	(*.f64 1/3 y)
4.0ms	(*.f64 1/3 y)

Compiler

Compiled 3683 to 2033 computations (44.8% saved)

series475.0ms (3.3%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

208.0ms	(*.f64 (log.f64 y) (+.f64 -1 x))
162.0ms	(.f64 z (.f64 (.f64 y y) (+.f64 1/2 (.f64 1/3 y))))
27.0ms	(*.f64 1/3 y)
22.0ms	(*.f64 1/3 y)

Compiler

Compiled 2418 to 1622 computations (32.9% saved)

simplify65.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4970	1205
1	4970	1205

prune288.0ms (2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	112	10	122

Error

0.0b

Counts

122 → 10

Compiler

Compiled 4729 to 2708 computations (42.7% saved)

localize38.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 1/3 y)
0.3b	(+.f64 (.f64 (+.f64 -1 x) (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 (+.f64 -1 x) (log.f64 (cbrt.f64 y))))
0.7b	(cbrt.f64 y)
0.7b	(cbrt.f64 y)

rewrite309.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

36×	`log-prod_binary64_846`
30×	`distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709`
24×	`cbrt-prod_binary64_791` `associate-+l+_binary64_693`
22×	`add-sqr-sqrt_binary64_782`
20×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
12×	`associate-+r+_binary64_692`
8×	`associate-*l/_binary64_703`
6×	`pow1_binary64_821` `add-log-exp_binary64_799` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
5×	`flip3-+_binary64_763` `flip-+_binary64_734`
4×	`frac-add_binary64_768`
3×	`associate-l_binary64_701` `associate-r_binary64_700`
2×	`pow1/3_binary64_842`
1×	`sum-log_binary64_851` `distribute-lft-out_binary64_711` `+-commutative_binary64_690` `pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `*-commutative_binary64_691`

Counts

4 → 92

Calls

4 calls:

19.0ms	(+.f64 (.f64 (+.f64 -1 x) (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 (+.f64 -1 x) (log.f64 (cbrt.f64 y))))
4.0ms	(*.f64 1/3 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 4723 to 2876 computations (39.1% saved)

series917.0ms (6.3%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

666.0ms	(+.f64 (.f64 (+.f64 -1 x) (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 (+.f64 -1 x) (log.f64 (cbrt.f64 y))))
94.0ms	(cbrt.f64 y)
90.0ms	(cbrt.f64 y)
25.0ms	(*.f64 1/3 y)

Compiler

Compiled 2087 to 1643 computations (21.3% saved)

simplify83.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4921	1423
1	4921	1423

prune274.0ms (1.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	107	3	110
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	112	8	120

Error

0.0b

Counts

120 → 8

Compiler

Compiled 4795 to 2953 computations (38.4% saved)

regimes2.6s (17.9%)

Accuracy

Total 0.2b remaining (95.6%)

Threshold costs 0.2b (95.6%)

Compiler

Compiled 28905 to 23399 computations (19% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	154	48
1	154	48

end0.0ms (0%)

sample5.0s (34.9%)

Algorithm

1×

intervals

Results

590.0ms	6103×	body	128	valid
322.0ms	507×	body	1024	valid
273.0ms	799×	body	512	valid
120.0ms	589×	body	256	valid
24.0ms	252×	body	128	nan
3.0ms	27×	body	128	invalid
2.0ms	2×	body	2048	valid

Compiler

Compiled 3595 to 2910 computations (19.1% saved)

Details

analyze541.0ms (3.7%)

sample46.0ms (0.3%)

simplify164.0ms (1.1%)

prune5.0ms (0%)

localize13.0ms (0.1%)

rewrite249.0ms (1.7%)

series1.5s (10.2%)

simplify71.0ms (0.5%)

prune250.0ms (1.7%)

localize21.0ms (0.1%)

rewrite304.0ms (2.1%)

series573.0ms (4%)

simplify109.0ms (0.8%)

prune312.0ms (2.2%)

localize20.0ms (0.1%)

rewrite207.0ms (1.4%)

series475.0ms (3.3%)

simplify65.0ms (0.4%)

prune288.0ms (2%)

localize38.0ms (0.3%)

rewrite309.0ms (2.1%)

series917.0ms (6.3%)

simplify83.0ms (0.6%)

prune274.0ms (1.9%)

regimes2.6s (17.9%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample5.0s (34.9%)

Profiling