Details

analyze1.3s (11%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4965	140
1	4965	140
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%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
1.6%	98.2%	0.2%	9
2.3%	97.5%	0.2%	10
11.7%	88.1%	0.2%	11
13.1%	74.3%	12.7%	12
16.1%	70.5%	13.5%	13
18.6%	68%	13.5%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample86.0ms (0.7%)

Algorithm

1×

intervals

Results

24.0ms	53×	body	1024	valid
11.0ms	11×	body	2048	valid
9.0ms	128×	body	128	valid
8.0ms	35×	body	512	valid
4.0ms	29×	body	256	valid
2.0ms	43×	body	128	nan
2.0ms	6×	body	1024	nan
1.0ms	27×	body	128	overflowed
1.0ms	6×	body	512	nan
1.0ms	6×	body	256	nan
0.0ms	1×	body	256	invalid
0.0ms	2×	body	128	invalid

Compiler

Compiled 27 to 29 computations (-7.4% saved)

simplify320.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (315.0ms)

Iter	Nodes	Cost
0	5254	20

prune3.0ms (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

23.3b

Counts

2 → 1

Compiler

Compiled 26 to 24 computations (7.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (exp.f64 z))
0.0b	(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
2.5b	(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
3.0b	(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))

rewrite136.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

11.5b

Rules

19×	`add-sqr-sqrt_binary64_10671`
17×	`add-cube-cbrt_binary64_10684` `*-un-lft-identity_binary64_10649`
12×	`times-frac_binary64_10655`
11×	`pow1_binary64_10710`
9×	`add-log-exp_binary64_10688`
8×	`add-exp-log_binary64_10687` `add-cbrt-cube_binary64_10685`
5×	`log-pow_binary64_10738`
4×	`associate-+l+_binary64_10582` `log-div_binary64_10736` `associate-/l*_binary64_10594`
3×	`flip3-+_binary64_10652` `flip-+_binary64_10623` `cancel-sign-sub-inv_binary64_10615` `log-prod_binary64_10735` `associate-/r_binary64_10593` `associate-l_binary64_10590` `associate-r*_binary64_10589`
2×	`sum-log_binary64_10740` `div-sub_binary64_10654`
1×	`diff-log_binary64_10741` `associate-+l-_binary64_10584` `sub-neg_binary64_10642` `+-commutative_binary64_10579` `rem-log-exp_binary64_10690` `div-exp_binary64_10700` `cbrt-undiv_binary64_10683` `frac-2neg_binary64_10660` `clear-num_binary64_10648` `div-inv_binary64_10646` `pow-prod-down_binary64_10720` `prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `unswap-sqr_binary64_10617` `*-commutative_binary64_10580`

Counts

4 → 82

Calls

4 calls:

9.0ms	(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
8.0ms	(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
6.0ms	(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
5.0ms	(*.f64 y (exp.f64 z))

Compiler

Compiled 1827 to 914 computations (50% saved)

series722.0ms (6.2%)

Error

1.1b

Counts

4 → 46

Calls

4 calls:

376.0ms	(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
175.0ms	(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
69.0ms	(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
45.0ms	(*.f64 y (exp.f64 z))

Compiler

Compiled 2719 to 1999 computations (26.5% saved)

simplify79.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4993	2848
1	4993	2848

prune143.0ms (1.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	121	7	128
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	121	8	129

Error

1.0b

Counts

129 → 8

Compiler

Compiled 2776 to 1452 computations (47.7% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (/.f64 (-.f64 (*.f64 (exp.f64 z) y) y) t))
0.0b	(/.f64 (-.f64 (*.f64 (exp.f64 z) y) y) t)
0.0b	(*.f64 (exp.f64 z) y)
3.2b	(-.f64 (*.f64 (exp.f64 z) y) y)

rewrite109.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

1.0b

Rules

34×	`*-un-lft-identity_binary64_10649`
31×	`add-sqr-sqrt_binary64_10671`
25×	`times-frac_binary64_10655`
24×	`add-cube-cbrt_binary64_10684`
19×	`cancel-sign-sub-inv_binary64_10615`
8×	`add-log-exp_binary64_10688` `add-cbrt-cube_binary64_10685` `distribute-rgt-out--_binary64_10603`
7×	`add-exp-log_binary64_10687`
6×	`pow1_binary64_10710`
4×	`associate-/l*_binary64_10594`
3×	`flip3--_binary64_10653` `flip--_binary64_10624` `associate-l_binary64_10590` `associate-r_binary64_10589` `associate-/r*_binary64_10593`
2×	`diff-log_binary64_10741` `sub-neg_binary64_10642` `div-sub_binary64_10654` `div-inv_binary64_10646` `associate-/l/_binary64_10596` `difference-of-squares_binary64_10618`
1×	`pow-prod-down_binary64_10720` `prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `unswap-sqr_binary64_10617` `*-commutative_binary64_10580` `div-exp_binary64_10700` `cbrt-undiv_binary64_10683` `frac-2neg_binary64_10660` `clear-num_binary64_10648` `distribute-lft-out--_binary64_10601` `associate--r-_binary64_10588`

Counts

4 → 98

Calls

4 calls:

14.0ms	(-.f64 x (/.f64 (-.f64 (*.f64 (exp.f64 z) y) y) t))
7.0ms	(/.f64 (-.f64 (*.f64 (exp.f64 z) y) y) t)
5.0ms	(-.f64 (*.f64 (exp.f64 z) y) y)
5.0ms	(*.f64 (exp.f64 z) y)

Compiler

Compiled 1840 to 449 computations (75.6% saved)

series503.0ms (4.3%)

Error

1.0b

Counts

4 → 44

Calls

4 calls:

260.0ms	(-.f64 x (/.f64 (-.f64 (*.f64 (exp.f64 z) y) y) t))
117.0ms	(/.f64 (-.f64 (*.f64 (exp.f64 z) y) y) t)
58.0ms	(-.f64 (*.f64 (exp.f64 z) y) y)
47.0ms	(*.f64 (exp.f64 z) y)

Compiler

Compiled 1192 to 800 computations (32.9% saved)

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4993	2029
1	4993	2029

prune94.0ms (0.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	139	3	142
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	140	10	150

Error

1.0b

Counts

150 → 10

Compiler

Compiled 2068 to 529 computations (74.4% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 z (.f64 z y))
1.9b	(.f64 (.f64 1/2 (.f64 z (.f64 z y))) (-.f64 1 y))
4.0b	(+.f64 (.f64 z y) (.f64 (.f64 1/2 (.f64 z (*.f64 z y))) (-.f64 1 y)))
7.5b	(/.f64 (+.f64 (.f64 z y) (.f64 (.f64 1/2 (.f64 z (*.f64 z y))) (-.f64 1 y))) t)

rewrite167.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

1.0b

Rules

25×	`add-exp-log_binary64_10687` `add-cbrt-cube_binary64_10685`
23×	`pow1_binary64_10710`
21×	`add-sqr-sqrt_binary64_10671` `*-un-lft-identity_binary64_10649`
18×	`add-cube-cbrt_binary64_10684`
13×	`pow-prod-down_binary64_10720` `prod-exp_binary64_10698` `cbrt-unprod_binary64_10682`
12×	`cancel-sign-sub-inv_binary64_10615`
9×	`times-frac_binary64_10655`
8×	`distribute-rgt-in_binary64_10599` `associate-+r+_binary64_10581` `distribute-lft-in_binary64_10598`
7×	`associate-r_binary64_10589`
6×	`add-log-exp_binary64_10688`
4×	`sub-neg_binary64_10642` `associate-l_binary64_10590`
3×	`associate-/l_binary64_10594` `associate-/r_binary64_10593`
2×	`flip3-+_binary64_10652` `associate-/l/_binary64_10596` `flip-+_binary64_10623` `associate-r/_binary64_10591` `difference-of-squares_binary64_10618` `-commutative_binary64_10580`
1×	`div-exp_binary64_10700` `cbrt-undiv_binary64_10683` `frac-2neg_binary64_10660` `clear-num_binary64_10648` `div-inv_binary64_10646` `sum-log_binary64_10740` `+-commutative_binary64_10579` `flip3--_binary64_10653` `flip--_binary64_10624` `distribute-lft-out--_binary64_10601`

Counts

4 → 103

Calls

4 calls:

13.0ms	(.f64 (.f64 1/2 (.f64 z (.f64 z y))) (-.f64 1 y))
7.0ms	(/.f64 (+.f64 (.f64 z y) (.f64 (.f64 1/2 (.f64 z (*.f64 z y))) (-.f64 1 y))) t)
6.0ms	(+.f64 (.f64 z y) (.f64 (.f64 1/2 (.f64 z (*.f64 z y))) (-.f64 1 y)))
5.0ms	(.f64 z (.f64 z y))

Compiler

Compiled 3193 to 1438 computations (55% saved)

series892.0ms (7.6%)

Error

1.0b

Counts

4 → 42

Calls

4 calls:

429.0ms	(/.f64 (+.f64 (.f64 z y) (.f64 (.f64 1/2 (.f64 z (*.f64 z y))) (-.f64 1 y))) t)
218.0ms	(+.f64 (.f64 z y) (.f64 (.f64 1/2 (.f64 z (*.f64 z y))) (-.f64 1 y)))
142.0ms	(.f64 (.f64 1/2 (.f64 z (.f64 z y))) (-.f64 1 y))
63.0ms	(.f64 z (.f64 z y))

Compiler

Compiled 2359 to 1799 computations (23.7% saved)

simplify62.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4990	2945
1	4990	2945

prune137.0ms (1.2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	144	1	145
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	144	11	155

Error

1.0b

Counts

155 → 11

Compiler

Compiled 3571 to 1497 computations (58.1% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 z (.f64 1/2 (.f64 z z)))
0.1b	(/.f64 (log.f64 (+.f64 1 (.f64 y (+.f64 z (.f64 1/2 (*.f64 z z)))))) t)
2.6b	(.f64 y (+.f64 z (.f64 1/2 (*.f64 z z))))
4.4b	(log.f64 (+.f64 1 (.f64 y (+.f64 z (.f64 1/2 (*.f64 z z))))))

rewrite127.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

1.0b

Rules

18×	`add-sqr-sqrt_binary64_10671`
16×	`add-cube-cbrt_binary64_10684` `*-un-lft-identity_binary64_10649`
12×	`times-frac_binary64_10655`
11×	`pow1_binary64_10710`
9×	`add-exp-log_binary64_10687`
8×	`add-cbrt-cube_binary64_10685`
6×	`add-log-exp_binary64_10688`
5×	`log-pow_binary64_10738`
4×	`flip3-+_binary64_10652` `log-div_binary64_10736` `flip-+_binary64_10623` `associate-/l*_binary64_10594`
3×	`log-prod_binary64_10735` `associate-l_binary64_10590` `associate-r_binary64_10589` `associate-/r*_binary64_10593`
2×	`associate-*r/_binary64_10591` `div-sub_binary64_10654`
1×	`rem-log-exp_binary64_10690` `pow-prod-down_binary64_10720` `prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `unswap-sqr_binary64_10617` `distribute-rgt-in_binary64_10599` `distribute-lft-in_binary64_10598` `*-commutative_binary64_10580` `div-exp_binary64_10700` `cbrt-undiv_binary64_10683` `frac-2neg_binary64_10660` `clear-num_binary64_10648` `div-inv_binary64_10646` `sum-log_binary64_10740` `+-commutative_binary64_10579`

Counts

4 → 80

Calls

4 calls:

6.0ms	(.f64 y (+.f64 z (.f64 1/2 (*.f64 z z))))
5.0ms	(/.f64 (log.f64 (+.f64 1 (.f64 y (+.f64 z (.f64 1/2 (*.f64 z z)))))) t)
3.0ms	(+.f64 z (.f64 1/2 (.f64 z z)))
3.0ms	(log.f64 (+.f64 1 (.f64 y (+.f64 z (.f64 1/2 (*.f64 z z))))))

Compiler

Compiled 2226 to 1309 computations (41.2% saved)

series653.0ms (5.6%)

Error

1.0b

Counts

4 → 42

Calls

4 calls:

339.0ms	(/.f64 (log.f64 (+.f64 1 (.f64 y (+.f64 z (.f64 1/2 (*.f64 z z)))))) t)
112.0ms	(log.f64 (+.f64 1 (.f64 y (+.f64 z (.f64 1/2 (*.f64 z z))))))
109.0ms	(.f64 y (+.f64 z (.f64 1/2 (*.f64 z z))))
50.0ms	(+.f64 z (.f64 1/2 (.f64 z z)))

Compiler

Compiled 2582 to 2084 computations (19.3% saved)

simplify100.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4959	2843
1	4959	2843

prune134.0ms (1.1%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	119	3	122
Fresh	0	8	8
Picked	1	0	1
Done	0	2	2
Total	120	13	133

Error

1.0b

Counts

133 → 13

Compiler

Compiled 2774 to 1604 computations (42.2% saved)

regimes1.7s (14.6%)

Accuracy

Total 7.4b remaining (88.8%)

Threshold costs 0b (0%)

Compiler

Compiled 19043 to 14579 computations (23.4% saved)

bsearch4.0ms (0%)

Compiler: Compiled 11 to 11 computations (0% saved)

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	513	228
1	513	228

end0.0ms (0%)

sample4.1s (34.9%)

Algorithm

1×

intervals

Results

755.0ms	1780×	body	1024	valid
339.0ms	1379×	body	512	valid
285.0ms	3865×	body	128	valid
236.0ms	275×	body	2048	valid
103.0ms	701×	body	256	valid
72.0ms	1603×	body	128	nan
64.0ms	236×	body	1024	nan
44.0ms	254×	body	512	nan
43.0ms	827×	body	128	overflowed
16.0ms	156×	body	256	nan
1.0ms	27×	body	128	invalid
0.0ms	2×	body	512	invalid
0.0ms	2×	body	256	invalid

Compiler

Compiled 2117 to 1588 computations (25% saved)

Details

analyze1.3s (11%)

sample86.0ms (0.7%)

simplify320.0ms (2.7%)

prune3.0ms (0%)

localize10.0ms (0.1%)

rewrite136.0ms (1.2%)

series722.0ms (6.2%)

simplify79.0ms (0.7%)

prune143.0ms (1.2%)

localize8.0ms (0.1%)

rewrite109.0ms (0.9%)

series503.0ms (4.3%)

simplify75.0ms (0.6%)

prune94.0ms (0.8%)

localize13.0ms (0.1%)

rewrite167.0ms (1.4%)

series892.0ms (7.6%)

simplify62.0ms (0.5%)

prune137.0ms (1.2%)

localize14.0ms (0.1%)

rewrite127.0ms (1.1%)

series653.0ms (5.6%)

simplify100.0ms (0.9%)

prune134.0ms (1.1%)

regimes1.7s (14.6%)

bsearch4.0ms (0%)

simplify17.0ms (0.1%)

end0.0ms (0%)

sample4.1s (34.9%)

Profiling