Details

analyze835.0ms (17.9%)

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)

sample23.0ms (0.5%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 35 to 33 computations (5.7% saved)

simplify59.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5059	19

prune8.0ms (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

2.1b

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 x (/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))))
0.0b	(-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))
3.3b	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
4.1b	(/.f64 (.f64 y t) (.f64 2 z))

rewrite158.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

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` `prod-exp_binary64_13767` `cbrt-unprod_binary64_13751` `div-inv_binary64_13715` `associate-/l*_binary64_13663` `flip3--_binary64_13722` `associate-/r/_binary64_13664` `flip--_binary64_13693`
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)))))
6.0ms	(/.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)

series717.0ms (15.4%)

Error

0.0b

Counts

4 → 75

Calls

4 calls:

257.0ms	(-.f64 x (/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))))
160.0ms	(-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))
140.0ms	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
116.0ms	(/.f64 (.f64 y t) (.f64 2 z))

Compiler

Compiled 2476 to 1871 computations (24.4% saved)

simplify76.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4975	3511
1	4975	3511

prune143.0ms (3.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	184	2	186
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	186	2	188

Error

Counts

188 → 2

Compiler

Compiled 3144 to 1367 computations (56.5% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (/.f64 y (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z)))))
0.0b	(-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z)))
3.3b	(/.f64 y (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z))))
5.0b	(*.f64 (/.f64 y 2) (/.f64 t z))

rewrite155.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

50×	`add-sqr-sqrt_binary64_13740`
41×	`times-frac_binary64_13724`
35×	`*-un-lft-identity_binary64_13718`
33×	`add-cube-cbrt_binary64_13753`
18×	`add-exp-log_binary64_13756` `add-cbrt-cube_binary64_13754`
16×	`cancel-sign-sub-inv_binary64_13684`
13×	`associate-l_binary64_13659` `associate-r_binary64_13658`
8×	`add-log-exp_binary64_13757`
6×	`pow1_binary64_13779`
5×	`div-exp_binary64_13769` `cbrt-undiv_binary64_13752`
4×	`prod-exp_binary64_13767` `cbrt-unprod_binary64_13751` `unswap-sqr_binary64_13686` `div-inv_binary64_13715` `flip3--_binary64_13722` `associate-/r/_binary64_13664` `flip--_binary64_13693`
3×	`associate-/l_binary64_13663` `associate-/r_binary64_13662`
2×	`diff-log_binary64_13810` `sub-neg_binary64_13711` `difference-of-squares_binary64_13687`
1×	`pow-prod-down_binary64_13789` `frac-times_binary64_13728` `associate-l/_binary64_13661` `associate-r/_binary64_13660` `*-commutative_binary64_13649` `frac-2neg_binary64_13729` `clear-num_binary64_13717` `distribute-lft-out--_binary64_13670`

Counts

4 → 120

Calls

4 calls:

11.0ms	(*.f64 (/.f64 y 2) (/.f64 t z))
10.0ms	(-.f64 x (/.f64 y (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z)))))
5.0ms	(/.f64 y (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z))))
3.0ms	(-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z)))

Compiler

Compiled 2905 to 1475 computations (49.2% saved)

series734.0ms (15.7%)

Error

Counts

4 → 75

Calls

4 calls:

283.0ms	(-.f64 x (/.f64 y (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z)))))
157.0ms	(-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z)))
139.0ms	(/.f64 y (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z))))
111.0ms	(*.f64 (/.f64 y 2) (/.f64 t z))

Compiler

Compiled 2476 to 1871 computations (24.4% saved)

simplify77.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5012	3470

prune148.0ms (3.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	195	2	197

Error

Counts

197 → 2

Compiler

Compiled 3342 to 1485 computations (55.6% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite42.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-sqr-sqrt_binary64_13740`
13×	`associate-r_binary64_13658`
10×	`add-cube-cbrt_binary64_13753` `*-un-lft-identity_binary64_13718` `times-frac_binary64_13724`
7×	`add-exp-log_binary64_13756` `add-cbrt-cube_binary64_13754`
4×	`add-log-exp_binary64_13757` `pow1_binary64_13779`
3×	`associate-l_binary64_13659`
2×	`prod-exp_binary64_13767` `cbrt-unprod_binary64_13751` `unswap-sqr_binary64_13686`
1×	`diff-log_binary64_13810` `flip3--_binary64_13722` `sub-neg_binary64_13711` `flip--_binary64_13693` `cancel-sign-sub-inv_binary64_13684` `pow-prod-down_binary64_13789` `div-exp_binary64_13769` `cbrt-undiv_binary64_13752` `associate-r/_binary64_13660` `div-inv_binary64_13715` `-commutative_binary64_13649`

Counts

2 → 44

Calls

2 calls:

7.0ms	(*.f64 -2 (/.f64 z t))
3.0ms	(-.f64 x (*.f64 -2 (/.f64 z t)))

Compiler

Compiled 624 to 326 computations (47.8% saved)

series189.0ms (4.1%)

Error

Counts

2 → 24

Calls

2 calls:

126.0ms	(-.f64 x (*.f64 -2 (/.f64 z t)))
53.0ms	(*.f64 -2 (/.f64 z t))

Compiler

Compiled 365 to 346 computations (5.2% saved)

simplify62.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5062	687

prune42.0ms (0.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	68	2	70

Error

Counts

70 → 2

Compiler

Compiled 682 to 332 computations (51.3% saved)

regimes210.0ms (4.5%)

Accuracy

Total 1.0b remaining (99.6%)

Threshold costs 0b (0%)

Compiler

Compiled 1896 to 1576 computations (16.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	19
1	39	19

end0.0ms (0%)

sample964.0ms (20.7%)

Algorithm

1×

intervals

Results

363.0ms

8000×

body

128

valid

Compiler

Compiled 340 to 283 computations (16.8% saved)

Details

analyze835.0ms (17.9%)

sample23.0ms (0.5%)

simplify59.0ms (1.3%)

prune8.0ms (0.2%)

localize9.0ms (0.2%)

rewrite158.0ms (3.4%)

series717.0ms (15.4%)

simplify76.0ms (1.6%)

prune143.0ms (3.1%)

localize9.0ms (0.2%)

rewrite155.0ms (3.3%)

series734.0ms (15.7%)

simplify77.0ms (1.7%)

prune148.0ms (3.2%)

localize5.0ms (0.1%)

rewrite42.0ms (0.9%)

series189.0ms (4.1%)

simplify62.0ms (1.3%)

prune42.0ms (0.9%)

regimes210.0ms (4.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample964.0ms (20.7%)

Profiling