Details

analyze822.0ms (14.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5065	133
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
9.4%	90.4%	0.2%	8
9.4%	90.4%	0.2%	9
10.9%	88.9%	0.2%	10
25.9%	73.9%	0.2%	11
47.1%	52.7%	0.2%	12
55.3%	44.5%	0.2%	13
59.2%	40.6%	0.2%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample24.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 35 to 33 computations (5.7% saved)

simplify63.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5059	19

prune10.0ms (0.2%)

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

2.7b

Counts

2 → 2

Compiler

Compiled 43 to 36 computations (16.3% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))
0.0b	(-.f64 x (/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))))
5.8b	(/.f64 (.f64 y t) (.f64 2 z))
6.0b	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))

rewrite163.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

45×	`add-sqr-sqrt_binary64_13740`
42×	`*-un-lft-identity_binary64_13718`
33×	`times-frac_binary64_13724`
26×	`cancel-sign-sub-inv_binary64_13684`
24×	`add-cube-cbrt_binary64_13753`
18×	`add-exp-log_binary64_13756` `add-cbrt-cube_binary64_13754`
10×	`difference-of-squares_binary64_13687`
9×	`distribute-lft-out--_binary64_13670`
8×	`add-log-exp_binary64_13757`
6×	`associate-/r*_binary64_13662`
5×	`div-exp_binary64_13769` `cbrt-undiv_binary64_13752`
4×	`pow1_binary64_13779` `div-inv_binary64_13715` `flip3--_binary64_13722` `associate-/r/_binary64_13664` `flip--_binary64_13693` `associate-/l*_binary64_13663` `prod-exp_binary64_13767` `cbrt-unprod_binary64_13751`
2×	`frac-2neg_binary64_13729` `clear-num_binary64_13717` `diff-log_binary64_13810` `sub-neg_binary64_13711`

Counts

4 → 111

Calls

4 calls:

13.0ms	(-.f64 x (/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))))
7.0ms	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
6.0ms	(/.f64 (.f64 y t) (.f64 2 z))
5.0ms	(-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))

Compiler

Compiled 2761 to 1404 computations (49.1% saved)

series723.0ms (12.7%)

Error

0.0b

Counts

4 → 72

Calls

4 calls:

239.0ms	(-.f64 x (/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))))
164.0ms	(-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))
148.0ms	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
125.0ms	(/.f64 (.f64 y t) (.f64 2 z))

Compiler

Compiled 2332 to 1763 computations (24.4% saved)

simplify78.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4975	3436
1	4975	3436

prune149.0ms (2.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	179	4	183
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	181	4	185

Error

Counts

185 → 4

Compiler

Compiled 3131 to 1374 computations (56.1% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 z (*.f64 1/2 (/.f64 y (/.f64 z t))))
0.9b	(/.f64 1 (-.f64 z (*.f64 1/2 (/.f64 y (/.f64 z t)))))
3.5b	(/.f64 y (/.f64 z t))
5.2b	(.f64 y (/.f64 1 (-.f64 z (.f64 1/2 (/.f64 y (/.f64 z t))))))

rewrite195.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

95×	`times-frac_binary64_13724`
69×	`add-sqr-sqrt_binary64_13740`
63×	`*-un-lft-identity_binary64_13718`
62×	`add-cube-cbrt_binary64_13753`
22×	`add-exp-log_binary64_13756`
16×	`add-cbrt-cube_binary64_13754` `associate-/r*_binary64_13662`
15×	`associate-r_binary64_13658`
7×	`pow1_binary64_13779` `div-exp_binary64_13769` `div-inv_binary64_13715`
6×	`add-log-exp_binary64_13757` `associate-/l*_binary64_13663`
5×	`cbrt-undiv_binary64_13752` `associate-/r/_binary64_13664`
4×	`prod-exp_binary64_13767`
3×	`unswap-sqr_binary64_13686` `associate-l_binary64_13659` `flip3--_binary64_13722` `flip--_binary64_13693`
2×	`1-exp_binary64_13762` `rec-exp_binary64_13768` `cbrt-unprod_binary64_13751` `frac-2neg_binary64_13729` `clear-num_binary64_13717`
1×	`pow-prod-down_binary64_13789` `un-div-inv_binary64_13716` `associate-r/_binary64_13660` `-commutative_binary64_13649` `inv-pow_binary64_13803` `pow-flip_binary64_13792` `diff-log_binary64_13810` `sub-neg_binary64_13711` `cancel-sign-sub-inv_binary64_13684`

Counts

4 → 153

Calls

4 calls:

10.0ms	(.f64 y (/.f64 1 (-.f64 z (.f64 1/2 (/.f64 y (/.f64 z t))))))
6.0ms	(/.f64 y (/.f64 z t))
5.0ms	(/.f64 1 (-.f64 z (*.f64 1/2 (/.f64 y (/.f64 z t)))))
3.0ms	(-.f64 z (*.f64 1/2 (/.f64 y (/.f64 z t))))

Compiler

Compiled 3917 to 1900 computations (51.5% saved)

series539.0ms (9.5%)

Error

Counts

4 → 58

Calls

4 calls:

160.0ms	(-.f64 z (*.f64 1/2 (/.f64 y (/.f64 z t))))
138.0ms	(.f64 y (/.f64 1 (-.f64 z (.f64 1/2 (/.f64 y (/.f64 z t))))))
101.0ms	(/.f64 y (/.f64 z t))
101.0ms	(/.f64 1 (-.f64 z (*.f64 1/2 (/.f64 y (/.f64 z t)))))

Compiler

Compiled 2292 to 1757 computations (23.3% saved)

simplify76.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5112	3578

prune189.0ms (3.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	211	0	211
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	211	4	215

Error

Counts

215 → 4

Compiler

Compiled 4317 to 2013 computations (53.4% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

5.8b	(/.f64 (.f64 y t) (.f64 z 4))
5.8b	(/.f64 (.f64 y t) (.f64 2 z))
6.4b	(/.f64 y (-.f64 (.f64 z z) (.f64 (/.f64 y (/.f64 z t)) (/.f64 (.f64 y t) (.f64 z 4)))))
22.4b	(.f64 (/.f64 y (-.f64 (.f64 z z) (.f64 (/.f64 y (/.f64 z t)) (/.f64 (.f64 y t) (.f64 z 4))))) (+.f64 z (/.f64 (.f64 y t) (*.f64 2 z))))

rewrite212.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

35×	`add-exp-log_binary64_13756` `add-cbrt-cube_binary64_13754`
25×	`add-sqr-sqrt_binary64_13740`
22×	`*-un-lft-identity_binary64_13718`
21×	`times-frac_binary64_13724`
20×	`add-cube-cbrt_binary64_13753`
15×	`associate-l_binary64_13659`
10×	`div-exp_binary64_13769` `prod-exp_binary64_13767` `cbrt-unprod_binary64_13751` `cbrt-undiv_binary64_13752`
6×	`pow1_binary64_13779`
5×	`associate-/l_binary64_13663` `associate-/r_binary64_13662`
4×	`add-log-exp_binary64_13757` `div-inv_binary64_13715` `associate-/r/_binary64_13664` `associate-r_binary64_13658`
3×	`frac-2neg_binary64_13729` `clear-num_binary64_13717`
2×	`flip3-+_binary64_13721` `frac-times_binary64_13728` `flip-+_binary64_13692` `unswap-sqr_binary64_13686` `associate-*r/_binary64_13660` `flip3--_binary64_13722` `flip--_binary64_13693`
1×	`pow-prod-down_binary64_13789` `distribute-rgt-in_binary64_13668` `distribute-lft-in_binary64_13667` `associate-l/_binary64_13661` `distribute-lft-out_binary64_13669` `-commutative_binary64_13649`

Counts

4 → 112

Calls

4 calls:

18.0ms	(.f64 (/.f64 y (-.f64 (.f64 z z) (.f64 (/.f64 y (/.f64 z t)) (/.f64 (.f64 y t) (.f64 z 4))))) (+.f64 z (/.f64 (.f64 y t) (*.f64 2 z))))
7.0ms	(/.f64 y (-.f64 (.f64 z z) (.f64 (/.f64 y (/.f64 z t)) (/.f64 (.f64 y t) (.f64 z 4)))))
6.0ms	(/.f64 (.f64 y t) (.f64 z 4))
6.0ms	(/.f64 (.f64 y t) (.f64 2 z))

Compiler

Compiled 5251 to 2137 computations (59.3% saved)

series659.0ms (11.6%)

Error

Counts

4 → 45

Calls

4 calls:

220.0ms	(.f64 (/.f64 y (-.f64 (.f64 z z) (.f64 (/.f64 y (/.f64 z t)) (/.f64 (.f64 y t) (.f64 z 4))))) (+.f64 z (/.f64 (.f64 y t) (*.f64 2 z))))
149.0ms	(/.f64 y (-.f64 (.f64 z z) (.f64 (/.f64 y (/.f64 z t)) (/.f64 (.f64 y t) (.f64 z 4)))))
128.0ms	(/.f64 (.f64 y t) (.f64 2 z))
123.0ms	(/.f64 (.f64 y t) (.f64 z 4))

Compiler

Compiled 3094 to 2061 computations (33.4% saved)

simplify93.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5054	4243

prune187.0ms (3.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	157	4	161

Error

Counts

161 → 4

Compiler

Compiled 5713 to 2327 computations (59.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 -2 (/.f64 z t))

rewrite31.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`add-sqr-sqrt_binary64_13740`
13×	`associate-r_binary64_13658`
10×	`times-frac_binary64_13724`
9×	`add-cube-cbrt_binary64_13753` `*-un-lft-identity_binary64_13718`
6×	`add-exp-log_binary64_13756` `add-cbrt-cube_binary64_13754`
3×	`pow1_binary64_13779` `associate-l_binary64_13659`
2×	`prod-exp_binary64_13767` `cbrt-unprod_binary64_13751` `unswap-sqr_binary64_13686`
1×	`pow-prod-down_binary64_13789` `div-exp_binary64_13769` `add-log-exp_binary64_13757` `cbrt-undiv_binary64_13752` `associate-r/_binary64_13660` `div-inv_binary64_13715` `-commutative_binary64_13649`

Counts

1 → 32

Calls

1 calls:

7.0ms

(*.f64 -2 (/.f64 z t))

Compiler

Compiled 437 to 228 computations (47.8% saved)

series59.0ms (1%)

Error

Counts

1 → 6

Calls

1 calls:

56.0ms

(*.f64 -2 (/.f64 z t))

Compiler

Compiled 126 to 119 computations (5.6% saved)

simplify79.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5300	369

prune25.0ms (0.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	38	4	42

Error

Counts

42 → 4

Compiler

Compiled 432 to 214 computations (50.5% saved)

regimes245.0ms (4.3%)

Accuracy

Total 0.9b remaining (99.6%)

Threshold costs 0.9b (99.6%)

Compiler

Compiled 2460 to 1966 computations (20.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	19
1	39	19

end0.0ms (0%)

sample1.0s (17.9%)

Algorithm

1×

intervals

Results

356.0ms

8000×

body

128

valid

Compiler

Compiled 434 to 348 computations (19.8% saved)

Details

analyze822.0ms (14.5%)

sample24.0ms (0.4%)

simplify63.0ms (1.1%)

prune10.0ms (0.2%)

localize9.0ms (0.2%)

rewrite163.0ms (2.9%)

series723.0ms (12.7%)

simplify78.0ms (1.4%)

prune149.0ms (2.6%)

localize10.0ms (0.2%)

rewrite195.0ms (3.4%)

series539.0ms (9.5%)

simplify76.0ms (1.3%)

prune189.0ms (3.3%)

localize19.0ms (0.3%)

rewrite212.0ms (3.7%)

series659.0ms (11.6%)

simplify93.0ms (1.6%)

prune187.0ms (3.3%)

localize5.0ms (0.1%)

rewrite31.0ms (0.6%)

series59.0ms (1%)

simplify79.0ms (1.4%)

prune25.0ms (0.4%)

regimes245.0ms (4.3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.0s (17.9%)

Profiling