Details

analyze235.0ms (3.6%)

Algorithm

1×

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)

sample25.0ms (0.4%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify253.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (164.0ms)

Iter	Nodes	Cost
0	4948	18
1	4948	18

prune2.0ms (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)

localize9.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

rewrite28.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64_11331` `add-log-exp_binary64_11370`
12×	`add-sqr-sqrt_binary64_11353`
8×	`add-cube-cbrt_binary64_11366`
6×	`log-prod_binary64_11417` `pow1_binary64_11392`
5×	`add-exp-log_binary64_11369` `add-cbrt-cube_binary64_11367` `diff-log_binary64_11423`
4×	`sum-log_binary64_11422` `associate-r_binary64_11271` `cancel-sign-sub-inv_binary64_11297` `associate-l_binary64_11272`
3×	`distribute-lft-in_binary64_11280` `distribute-lft-out_binary64_11282` `distribute-rgt-in_binary64_11281`
2×	`distribute-lft-out--_binary64_11283` `sub-neg_binary64_11324` `associate-*l/_binary64_11274` `associate-+l+_binary64_11264` `associate-+l-_binary64_11266` `flip3-+_binary64_11334` `flip-+_binary64_11305`
1×	`associate--l+_binary64_11268` `*-commutative_binary64_11262` `cbrt-unprod_binary64_11364` `difference-of-squares_binary64_11300` `+-commutative_binary64_11261` `associate--l-_binary64_11269` `unswap-sqr_binary64_11299` `flip3--_binary64_11335` `prod-exp_binary64_11380` `log-pow_binary64_11420` `pow-prod-down_binary64_11402` `flip--_binary64_11306`

Counts

3 → 65

Calls

6 calls:

9.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
7.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))
7.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
0.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
0.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))

series720.0ms (11.1%)

Counts

3 → 33

Calls

3 calls:

401.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
251.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
67.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))

Compiler

Compiled 717 to 589 computations (17.9% saved)

simplify79.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4928	1505
1	4928	1505

prune132.0ms (2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	91	7	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	7	99

Error

0.0b

Counts

99 → 7

Compiler

Compiled 1616 to 873 computations (46% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite21.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64_11331` `add-log-exp_binary64_11370`
9×	`add-sqr-sqrt_binary64_11353`
7×	`add-cube-cbrt_binary64_11366`
6×	`log-prod_binary64_11417`
5×	`pow1_binary64_11392`
4×	`add-exp-log_binary64_11369` `frac-add_binary64_11339` `sum-log_binary64_11422` `associate-r_binary64_11271` `cancel-sign-sub-inv_binary64_11297` `flip3--_binary64_11335` `associate-l_binary64_11272` `add-cbrt-cube_binary64_11367` `diff-log_binary64_11423` `associate-+r+_binary64_11263` `flip--_binary64_11306`
3×	`distribute-lft-in_binary64_11280` `distribute-lft-out_binary64_11282` `distribute-rgt-in_binary64_11281`
2×	`sub-neg_binary64_11324` `associate-*l/_binary64_11274` `associate-+l+_binary64_11264` `flip3-+_binary64_11334` `flip-+_binary64_11305`
1×	`*-commutative_binary64_11262` `distribute-lft-out--_binary64_11283` `cbrt-unprod_binary64_11364` `+-commutative_binary64_11261` `unswap-sqr_binary64_11299` `associate-+l-_binary64_11266` `prod-exp_binary64_11380` `associate-+r-_binary64_11265` `log-pow_binary64_11420` `pow-prod-down_binary64_11402`

Counts

2 → 56

Calls

4 calls:

9.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) (-.f64 y z))
7.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))
0.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) (-.f64 y z))
0.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))

series483.0ms (7.5%)

Counts

2 → 22

Calls

2 calls:

410.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) (-.f64 y z))
73.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))

Compiler

Compiled 478 to 393 computations (17.8% saved)

simplify108.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4741	1487
1	4741	1487

prune74.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	78	7	85

Error

0.0b

Counts

85 → 7

Compiler

Compiled 1521 to 749 computations (50.8% saved)

localize19.0ms (0.3%)

Local error

Found 8 expressions with local error:

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

rewrite32.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`log-prod_binary64_11417`
18×	`cbrt-prod_binary64_11362` `*-un-lft-identity_binary64_11331` `add-sqr-sqrt_binary64_11353`
16×	`add-cube-cbrt_binary64_11366`
12×	`distribute-lft-in_binary64_11280` `distribute-rgt-in_binary64_11281` `associate-+r+_binary64_11263`
10×	`associate-*l/_binary64_11274`
7×	`pow1_binary64_11392`
6×	`add-exp-log_binary64_11369` `add-log-exp_binary64_11370` `add-cbrt-cube_binary64_11367` `flip3-+_binary64_11334` `flip-+_binary64_11305`
5×	`associate-r_binary64_11271`
4×	`frac-add_binary64_11339` `associate-l_binary64_11272`
3×	`pow1/3_binary64_11413`
2×	`distribute-lft-out_binary64_11282` `log-pow_binary64_11420`
1×	`*-commutative_binary64_11262` `cbrt-unprod_binary64_11364` `+-commutative_binary64_11261` `sum-log_binary64_11422` `unswap-sqr_binary64_11299` `prod-exp_binary64_11380` `pow-prod-down_binary64_11402`

Counts

4 → 85

Calls

8 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)))
2.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
0.0ms	(log.f64 (cbrt.f64 y))

series510.0ms (7.9%)

Counts

4 → 16

Calls

4 calls:

224.0ms	(+.f64 (.f64 (+.f64 y 1/2) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y))))
142.0ms	(*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y)))
75.0ms	(cbrt.f64 y)
69.0ms	(cbrt.f64 y)

Compiler

Compiled 714 to 610 computations (14.6% saved)

simplify114.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4930	1470
1	4930	1470

prune147.0ms (2.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	102	6	108

Error

Counts

108 → 6

Compiler

Compiled 2827 to 1602 computations (43.3% saved)

localize21.0ms (0.3%)

Local error

Found 8 expressions with local error:

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

rewrite39.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`cbrt-prod_binary64_11362`
33×	`*-un-lft-identity_binary64_11331`
29×	`add-sqr-sqrt_binary64_11353`
17×	`add-cube-cbrt_binary64_11366`
14×	`pow1_binary64_11392` `associate-r_binary64_11271` `cbrt-div_binary64_11363`
12×	`associate-l_binary64_11272`
9×	`swap-sqr_binary64_11298` `pow1/3_binary64_11413`
8×	`add-exp-log_binary64_11369`
7×	`distribute-lft-out_binary64_11282` `flip3-+_binary64_11334` `flip-+_binary64_11305`
6×	`unswap-sqr_binary64_11299`
5×	`add-cbrt-cube_binary64_11367`
4×	`add-log-exp_binary64_11370` `frac-times_binary64_11341` `associate-*r/_binary64_11273`
3×	`pow-prod-down_binary64_11402`
2×	`-commutative_binary64_11262` `cbrt-unprod_binary64_11364` `pow-prod-up_binary64_11401` `associate-l/_binary64_11274` `prod-exp_binary64_11380` `pow-sqr_binary64_11304` `log-pow_binary64_11420`
1×	`pow-plus_binary64_11394` `pow2_binary64_11412`

Counts

4 → 102

Calls

8 calls:

15.0ms	(*.f64 (cbrt.f64 (+.f64 y 1/2)) (cbrt.f64 (+.f64 y 1/2)))
9.0ms	(*.f64 (log.f64 (cbrt.f64 y)) (cbrt.f64 (+.f64 y 1/2)))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
0.0ms	(log.f64 (cbrt.f64 y))

series268.0ms (4.1%)

Counts

4 → 18

Calls

4 calls:

81.0ms	(cbrt.f64 y)
79.0ms	(*.f64 (log.f64 (cbrt.f64 y)) (cbrt.f64 (+.f64 y 1/2)))
70.0ms	(cbrt.f64 y)
38.0ms	(*.f64 (cbrt.f64 (+.f64 y 1/2)) (cbrt.f64 (+.f64 y 1/2)))

Compiler

Compiled 1168 to 975 computations (16.5% saved)

simplify58.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4971	1691
1	4971	1691

prune230.0ms (3.6%)

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)

simplify73.0ms (1.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	1816	1220
1	1816	1220

regimes224.0ms (3.5%)

Compiler: Compiled 2385 to 1875 computations (21.4% saved)

bsearch0.0ms (0%)

regimes64.0ms (1%)

Compiler: Compiled 261 to 288 computations (-10.3% saved)

bsearch0.0ms (0%)

regimes105.0ms (1.6%)

Compiler: Compiled 225 to 258 computations (-14.7% saved)

bsearch39.0ms (0.6%)

Steps

Iters	Range		Point
6	2.787851692370991e-28	3.236445032584538e-27	3.1881042619195415e-27
10	-12830880.260924352	-4.3111178951695064e-05	-112.66307892811862

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes102.0ms (1.6%)

Compiler: Compiled 195 to 231 computations (-18.5% saved)

bsearch39.0ms (0.6%)

Steps

Iters	Range		Point
6	2.787851692370991e-28	3.236445032584538e-27	3.1881042619195415e-27
10	-12830880.260924352	-4.3111178951695064e-05	-149.7368857426866

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes48.0ms (0.7%)

Compiler: Compiled 105 to 150 computations (-42.9% saved)

bsearch0.0ms (0%)

regimes103.0ms (1.6%)

Compiler: Compiled 75 to 126 computations (-68% saved)

bsearch11.0ms (0.2%)

Steps

Iters	Range		Point
5	130560628058140.81	386186386728203.6	203761468525983.38

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes114.0ms (1.8%)

Compiler: Compiled 51 to 105 computations (-105.9% saved)

bsearch47.0ms (0.7%)

Steps

Iters	Range		Point
9	9.054381134364445e+135	5.727658659119534e+142	8.348216274241809e+141
5	2.0764759753493375e+46	5.354826167724339e+46	2.100629520269826e+46
9	31793386114800564.0	1.17514977323275e+22	1.1240171951286433e+22

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes34.0ms (0.5%)

Compiler: Compiled 33 to 87 computations (-163.6% saved)

bsearch0.0ms (0%)

regimes91.0ms (1.4%)

Compiler: Compiled 24 to 75 computations (-212.5% saved)

bsearch66.0ms (1%)

Steps

Iters	Range		Point
9	3.462790454789241e+57	2.287286716301712e+64	7.075589227888415e+62
10	-2.2305201321894136e+141	-1.1214418978045741e+123	-5.004673611085021e+127

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes40.0ms (0.6%)

Compiler: Compiled 18 to 63 computations (-250% saved)

bsearch39.0ms (0.6%)

Steps

Iters	Range		Point
9	5.67255124929e-22	3.597698270968198e-15	3.5358741233197204e-15
10	-4.3111178951695064e-05	-9.849408037865327e-21	-4.233692726659617e-05

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes24.0ms (0.4%)

Accuracy

Total 0.1b remaining (92.2%)

Threshold costs 0.1b (92.2%)

Compiler

Compiled 15 to 54 computations (-260% saved)

bsearch11.0ms (0.2%)

Compiler: Compiled 183 to 121 computations (33.9% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	158	232
1	158	232

end0.0ms (0%)

sample1.6s (24.3%)

Algorithm

1×

intervals

Results

384.0ms	8000×	body	128	valid
2.0ms	34×	body	128	invalid

Compiler

Compiled 974 to 768 computations (21.1% saved)

Pareto

0.1554264504721276

Details

analyze235.0ms (3.6%)

sample25.0ms (0.4%)

simplify253.0ms (3.9%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite28.0ms (0.4%)

series720.0ms (11.1%)

simplify79.0ms (1.2%)

prune132.0ms (2%)

localize9.0ms (0.1%)

rewrite21.0ms (0.3%)

series483.0ms (7.5%)

simplify108.0ms (1.7%)

prune74.0ms (1.1%)

localize19.0ms (0.3%)

rewrite32.0ms (0.5%)

series510.0ms (7.9%)

simplify114.0ms (1.8%)

prune147.0ms (2.3%)

localize21.0ms (0.3%)

rewrite39.0ms (0.6%)

series268.0ms (4.1%)

simplify58.0ms (0.9%)

prune230.0ms (3.6%)

simplify73.0ms (1.1%)

regimes224.0ms (3.5%)

bsearch0.0ms (0%)

regimes64.0ms (1%)

bsearch0.0ms (0%)

regimes105.0ms (1.6%)

bsearch39.0ms (0.6%)

regimes102.0ms (1.6%)

bsearch39.0ms (0.6%)

regimes48.0ms (0.7%)

bsearch0.0ms (0%)

regimes103.0ms (1.6%)

bsearch11.0ms (0.2%)

regimes114.0ms (1.8%)

bsearch47.0ms (0.7%)

regimes34.0ms (0.5%)

bsearch0.0ms (0%)

regimes91.0ms (1.4%)

bsearch66.0ms (1%)

regimes40.0ms (0.6%)

bsearch39.0ms (0.6%)

regimes24.0ms (0.4%)

bsearch11.0ms (0.2%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample1.6s (24.3%)

Profiling