Details

analyze5.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
62.5%	37.5%	0%	4
81.2%	18.7%	0%	5
90.6%	9.4%	0%	6
95.3%	4.7%	0%	7
97.6%	2.3%	0%	8
98.8%	1.2%	0%	9
99.4%	0.6%	0%	10
99.7%	0.3%	0%	11
99.8%	0.1%	0%	12
99.9%	0.1%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample16.0ms (0.7%)

Algorithm

1×

intervals

Results

4.0ms	156×	body	128	valid
4.0ms	58×	body	512	valid
2.0ms	34×	body	256	valid
1.0ms	8×	body	1024	valid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify96.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	73	13
1	73	13

prune2.0ms (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

14.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

2.9b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
0.0b	(/.f64 1 (+.f64 x 1))
0.0b	(/.f64 1 (+.f64 x 1))
2.9b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

rewrite32.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`*-un-lft-identity_binary64_78`
46×	`add-sqr-sqrt_binary64_100`
45×	`times-frac_binary64_84`
22×	`add-cube-cbrt_binary64_113`
13×	`cancel-sign-sub-inv_binary64_44`
10×	`distribute-lft-out--_binary64_30`
9×	`difference-of-squares_binary64_47`
7×	`distribute-lft-out_binary64_29`
6×	`div-inv_binary64_75` `add-exp-log_binary64_116`
4×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `associate-/r*_binary64_22`
3×	`associate-/l*_binary64_23` `pow1_binary64_139`
2×	`div-exp_binary64_129` `associate-/r/_binary64_24`
1×	`cbrt-undiv_binary64_112` `inv-pow_binary64_163` `flip-+_binary64_52` `frac-sub_binary64_87` `flip3--_binary64_82` `diff-log_binary64_170` `frac-2neg_binary64_89` `1-exp_binary64_122` `pow-flip_binary64_152` `flip--_binary64_53` `rec-exp_binary64_128` `clear-num_binary64_77` `sub-neg_binary64_71` `flip3-+_binary64_81`

Counts

2 → 81

Calls

4 calls:

20.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
5.0ms	(/.f64 1 (+.f64 x 1))
0.0ms	(/.f64 1 (+.f64 x 1))
0.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

series60.0ms (2.7%)

Counts

2 → 21

Calls

2 calls:

33.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
26.0ms	(/.f64 1 (+.f64 x 1))

Compiler

Compiled 289 to 251 computations (13.1% saved)

simplify98.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5244	1460

prune94.0ms (4.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	99	3	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	3	103

Error

0.0b

Counts

103 → 3

Compiler

Compiled 1482 to 1170 computations (21.1% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.4b	(/.f64 -1 (*.f64 x (+.f64 1 x)))
0.4b	(/.f64 -1 (*.f64 x (+.f64 1 x)))

rewrite9.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116`
3×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `times-frac_binary64_84` `associate-/l_binary64_23` `-un-lft-identity_binary64_78`
2×	`cbrt-undiv_binary64_112` `div-exp_binary64_129` `associate-/r/_binary64_24` `associate-*r/_binary64_20`
1×	`add-log-exp_binary64_117` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `flip-+_binary64_52` `frac-2neg_binary64_89` `div-inv_binary64_75` `associate-/r*_binary64_22` `clear-num_binary64_77` `pow1_binary64_139` `flip3-+_binary64_81`

Counts

1 → 23

Calls

2 calls:

8.0ms	(/.f64 -1 (*.f64 x (+.f64 1 x)))
0.0ms	(/.f64 -1 (*.f64 x (+.f64 1 x)))

series30.0ms (1.4%)

Counts

1 → 11

Calls

1 calls:

30.0ms

(/.f64 -1 (*.f64 x (+.f64 1 x)))

Compiler

Compiled 138 to 123 computations (10.9% saved)

simplify53.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5619	457

prune37.0ms (1.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	32	2	34
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	33	4	37

Error

0.0b

Counts

37 → 4

Compiler

Compiled 420 to 317 computations (24.5% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(/.f64 (/.f64 -1 x) (+.f64 1 x))
0.1b	(/.f64 (/.f64 -1 x) (+.f64 1 x))

rewrite16.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

97×	`times-frac_binary64_84`
78×	`*-un-lft-identity_binary64_78`
50×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113`
14×	`distribute-lft-out_binary64_29`
13×	`associate-/l*_binary64_23`
6×	`add-cbrt-cube_binary64_114` `div-inv_binary64_75` `add-exp-log_binary64_116`
4×	`associate-/r*_binary64_22`
3×	`cbrt-undiv_binary64_112` `div-exp_binary64_129`
2×	`associate-/r/_binary64_24`
1×	`add-log-exp_binary64_117` `flip-+_binary64_52` `frac-2neg_binary64_89` `clear-num_binary64_77` `associate-/l/_binary64_25` `pow1_binary64_139` `flip3-+_binary64_81`

Counts

1 → 86

Calls

2 calls:

8.0ms	(/.f64 (/.f64 -1 x) (+.f64 1 x))
0.0ms	(/.f64 (/.f64 -1 x) (+.f64 1 x))

series32.0ms (1.4%)

Counts

1 → 11

Calls

1 calls:

32.0ms

(/.f64 (/.f64 -1 x) (+.f64 1 x))

Compiler

Compiled 138 to 123 computations (10.9% saved)

simplify89.0ms (4%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5001	1988

prune84.0ms (3.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	97	4	101

Error

0.0b

Counts

101 → 4

Compiler

Compiled 1540 to 1098 computations (28.7% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

4.1b	(*.f64 (/.f64 -1 (-.f64 x (pow.f64 x 3))) (-.f64 1 x))
0.2b	(/.f64 -1 (-.f64 x (pow.f64 x 3)))
0.2b	(/.f64 -1 (-.f64 x (pow.f64 x 3)))
4.1b	(*.f64 (/.f64 -1 (-.f64 x (pow.f64 x 3))) (-.f64 1 x))

rewrite43.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

89×	`add-sqr-sqrt_binary64_100`
56×	`*-un-lft-identity_binary64_78`
55×	`times-frac_binary64_84`
33×	`associate-l_binary64_19`
32×	`add-cube-cbrt_binary64_113`
30×	`difference-of-squares_binary64_47`
9×	`add-cbrt-cube_binary64_114` `associate-/r*_binary64_22` `add-exp-log_binary64_116`
8×	`distribute-lft-out--_binary64_30`
7×	`unpow-prod-down_binary64_157` `sqr-pow_binary64_50` `unpow3_binary64_144` `cube-prod_binary64_106` `distribute-rgt-out--_binary64_32`
6×	`associate-r_binary64_18` `cancel-sign-sub-inv_binary64_44`
4×	`distribute-lft-in_binary64_27` `flip3--_binary64_82` `distribute-rgt-in_binary64_28` `flip--_binary64_53` `associate-/r/_binary64_24` `pow1_binary64_139`
3×	`associate-/l*_binary64_23`
2×	`add-log-exp_binary64_117` `cbrt-unprod_binary64_111` `cbrt-undiv_binary64_112` `prod-exp_binary64_127` `div-exp_binary64_129` `div-inv_binary64_75` `frac-times_binary64_88` `unswap-sqr_binary64_46` `associate-*r/_binary64_20` `sub-neg_binary64_71`
1×	`-commutative_binary64_9` `frac-2neg_binary64_89` `associate-l/_binary64_21` `pow-prod-down_binary64_149` `clear-num_binary64_77`

Counts

2 → 120

Calls

4 calls:

20.0ms	(*.f64 (/.f64 -1 (-.f64 x (pow.f64 x 3))) (-.f64 1 x))
9.0ms	(/.f64 -1 (-.f64 x (pow.f64 x 3)))
0.0ms	(/.f64 -1 (-.f64 x (pow.f64 x 3)))
0.0ms	(*.f64 (/.f64 -1 (-.f64 x (pow.f64 x 3))) (-.f64 1 x))

series89.0ms (4%)

Counts

2 → 21

Calls

2 calls:

50.0ms	(/.f64 -1 (-.f64 x (pow.f64 x 3)))
39.0ms	(*.f64 (/.f64 -1 (-.f64 x (pow.f64 x 3))) (-.f64 1 x))

Compiler

Compiled 313 to 272 computations (13.1% saved)

simplify95.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4994	2564
1	4994	2564

prune145.0ms (6.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	140	1	141
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	140	5	145

Error

Counts

145 → 5

Compiler

Compiled 2566 to 1869 computations (27.2% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	147	302
1	147	302

regimes30.0ms (1.4%)

Compiler: Compiled 208 to 177 computations (14.9% saved)

bsearch0.0ms (0%)

regimes13.0ms (0.6%)

Compiler: Compiled 25 to 26 computations (-4% saved)

bsearch0.0ms (0%)

regimes21.0ms (1%)

Compiler: Compiled 18 to 20 computations (-11.1% saved)

bsearch29.0ms (1.3%)

Steps

Iters	Range		Point
11	1.1915507449762792e-11	144708799448604.4	0.7653072403037937
9	-3.221532685900676	-3.515790025547402e-07	-1.0066005851753894

Compiler

Compiled 1 to 1 computations (0% saved)

regimes20.0ms (0.9%)

Compiler: Compiled 13 to 15 computations (-15.4% saved)

bsearch28.0ms (1.3%)

Steps

Iters	Range		Point
11	1.1915507449762792e-11	144708799448604.4	1.019231060618356
9	-3.221532685900676	-3.515790025547402e-07	-1.0066005851753894

Compiler

Compiled 1 to 1 computations (0% saved)

regimes18.0ms (0.8%)

Compiler: Compiled 8 to 11 computations (-37.5% saved)

bsearch29.0ms (1.3%)

Steps

Iters	Range		Point
8	7.752963502429344e+99	9.486215669495344e+102	4.4661232362830565e+102
9	-3.221532685900676	-3.515790025547402e-07	-1.0066005851753894

Compiler

Compiled 1 to 1 computations (0% saved)

regimes7.0ms (0.3%)

Accuracy

Total 0.1b remaining (88.8%)

Threshold costs 0.1b (88.8%)

Compiler

Compiled 5 to 8 computations (-60% saved)

bsearch5.0ms (0.2%)

Compiler: Compiled 73 to 57 computations (21.9% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	93
1	40	93

end0.0ms (0%)

sample854.0ms (38.6%)

Algorithm

1×

intervals

Results

135.0ms	1936×	body	512	valid
126.0ms	4639×	body	128	valid
50.0ms	999×	body	256	valid
39.0ms	426×	body	1024	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 281 to 240 computations (14.6% saved)

Pareto

0.4265649928442801

Details

analyze5.0ms (0.2%)

sample16.0ms (0.7%)

simplify96.0ms (4.4%)

prune2.0ms (0.1%)

localize9.0ms (0.4%)

rewrite32.0ms (1.5%)

series60.0ms (2.7%)

simplify98.0ms (4.4%)

prune94.0ms (4.2%)

localize4.0ms (0.2%)

rewrite9.0ms (0.4%)

series30.0ms (1.4%)

simplify53.0ms (2.4%)

prune37.0ms (1.7%)

localize4.0ms (0.2%)

rewrite16.0ms (0.7%)

series32.0ms (1.4%)

simplify89.0ms (4%)

prune84.0ms (3.8%)

localize7.0ms (0.3%)

rewrite43.0ms (1.9%)

series89.0ms (4%)

simplify95.0ms (4.3%)

prune145.0ms (6.6%)

simplify7.0ms (0.3%)

regimes30.0ms (1.4%)

bsearch0.0ms (0%)

regimes13.0ms (0.6%)

bsearch0.0ms (0%)

regimes21.0ms (1%)

bsearch29.0ms (1.3%)

regimes20.0ms (0.9%)

bsearch28.0ms (1.3%)

regimes18.0ms (0.8%)

bsearch29.0ms (1.3%)

regimes7.0ms (0.3%)

bsearch5.0ms (0.2%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample854.0ms (38.6%)

Profiling