Details

analyze229.0ms (5.5%)

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
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
43.7%	56.2%	0.1%	8
62.4%	37.4%	0.1%	9
65.5%	34.3%	0.1%	10
71.8%	27.7%	0.5%	11
79.2%	19.7%	1.1%	12
80.2%	18.7%	1.1%	13
82.8%	15%	2.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample17.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
0.0ms	12×	body	128	invalid

Compiler

Compiled 23 to 24 computations (-4.3% saved)

simplify171.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	105	16
1	105	16

prune2.0ms (0.1%)

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

Merged error: 7.4b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1 (*.f64 z z))
3.4b	(.f64 y (+.f64 1 (.f64 z z)))
5.3b	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))

rewrite27.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`times-frac_binary64_9029`
27×	`add-exp-log_binary64_9061`
21×	`add-sqr-sqrt_binary64_9045`
19×	`*-un-lft-identity_binary64_9023` `add-cube-cbrt_binary64_9058`
17×	`add-cbrt-cube_binary64_9059`
13×	`associate-/l*_binary64_8968`
12×	`div-exp_binary64_9074`
6×	`cbrt-undiv_binary64_9057`
5×	`prod-exp_binary64_9072` `add-log-exp_binary64_9062` `pow1_binary64_9084`
4×	`associate-*r/_binary64_8965`
3×	`associate-r_binary64_8963` `associate-l_binary64_8964` `div-inv_binary64_9020` `flip-+_binary64_8997` `flip3-+_binary64_9026` `cbrt-unprod_binary64_9056`
2×	`1-exp_binary64_9067` `associate-/r/_binary64_8969` `rec-exp_binary64_9073`
1×	`frac-2neg_binary64_9034` `distribute-lft-in_binary64_8972` `associate-/r_binary64_8967` `-commutative_binary64_8954` `distribute-rgt-in_binary64_8973` `unswap-sqr_binary64_8991` `+-commutative_binary64_8953` `clear-num_binary64_9022` `sum-log_binary64_9114` `pow-prod-down_binary64_9094` `associate-/l/_binary64_8970`

Counts

3 → 85

Calls

3 calls:

10.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
6.0ms	(.f64 y (+.f64 1 (.f64 z z)))
3.0ms	(+.f64 1 (*.f64 z z))

series214.0ms (5.2%)

Counts

3 → 9

Calls

3 calls:

98.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
68.0ms	(.f64 y (+.f64 1 (.f64 z z)))
48.0ms	(+.f64 1 (*.f64 z z))

simplify86.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4988	1456
1	4988	1456

prune350.0ms (8.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	85	9	94
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	9	95

Merged error: 5.4b

Counts

95 → 9

Compiler

Compiled 6117 to 4611 computations (24.6% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1 (*.f64 z z))
3.1b	(.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (+.f64 1 (.f64 z z))))
3.5b	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))

rewrite67.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

173×	`times-frac_binary64_9029`
127×	`add-sqr-sqrt_binary64_9045`
94×	`*-un-lft-identity_binary64_9023`
87×	`add-cube-cbrt_binary64_9058`
77×	`add-exp-log_binary64_9061`
45×	`associate-r_binary64_8963`
40×	`div-exp_binary64_9074`
29×	`add-cbrt-cube_binary64_9059`
20×	`prod-exp_binary64_9072`
13×	`associate-/l_binary64_8968` `associate-l*_binary64_8964`
12×	`unswap-sqr_binary64_8991` `cbrt-undiv_binary64_9057`
10×	`1-exp_binary64_9067` `div-inv_binary64_9020` `rec-exp_binary64_9073`
6×	`cbrt-unprod_binary64_9056`
5×	`add-log-exp_binary64_9062` `pow1_binary64_9084`
4×	`associate-/r/_binary64_8969`
3×	`associate-/r*_binary64_8967` `flip-+_binary64_8997` `flip3-+_binary64_9026`
1×	`frac-2neg_binary64_9034` `-commutative_binary64_8954` `associate-l/_binary64_8966` `frac-times_binary64_9033` `+-commutative_binary64_8953` `associate-*r/_binary64_8965` `clear-num_binary64_9022` `sum-log_binary64_9114` `pow-prod-down_binary64_9094` `associate-/l/_binary64_8970`

Counts

3 → 193

Calls

3 calls:

31.0ms	(.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (+.f64 1 (.f64 z z))))
9.0ms	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))
3.0ms	(+.f64 1 (*.f64 z z))

series240.0ms (5.8%)

Counts

3 → 9

Calls

3 calls:

99.0ms	(.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (+.f64 1 (.f64 z z))))
93.0ms	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))
48.0ms	(+.f64 1 (*.f64 z z))

simplify107.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4904	4413
1	4904	4413

prune301.0ms (7.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	201	1	202
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	201	10	211

Merged error: 5.4b

Counts

211 → 10

Compiler

Compiled 5426 to 3557 computations (34.4% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1 (*.f64 z z))
3.0b	(/.f64 (/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z))) y)
3.5b	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))

rewrite76.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

474×	`times-frac_binary64_9029`
231×	`*-un-lft-identity_binary64_9023` `add-cube-cbrt_binary64_9058` `add-sqr-sqrt_binary64_9045`
58×	`associate-/l*_binary64_8968`
27×	`add-exp-log_binary64_9061`
22×	`div-inv_binary64_9020`
17×	`add-cbrt-cube_binary64_9059` `div-exp_binary64_9074`
10×	`associate-/r/_binary64_8969`
9×	`cbrt-undiv_binary64_9057`
6×	`associate-/r*_binary64_8967` `flip-+_binary64_8997` `flip3-+_binary64_9026`
5×	`add-log-exp_binary64_9062`
3×	`pow1_binary64_9084`
2×	`1-exp_binary64_9067` `frac-2neg_binary64_9034` `clear-num_binary64_9022` `associate-/l/_binary64_8970` `rec-exp_binary64_9073`
1×	`+-commutative_binary64_8953` `sum-log_binary64_9114`

Counts

3 → 287

Calls

3 calls:

19.0ms	(/.f64 (/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z))) y)
12.0ms	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))
3.0ms	(+.f64 1 (*.f64 z z))

series235.0ms (5.7%)

Counts

3 → 9

Calls

3 calls:

100.0ms	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))
90.0ms	(/.f64 (/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z))) y)
45.0ms	(+.f64 1 (*.f64 z z))

simplify132.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

296 → 296

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4942	8993
1	4942	8993

prune430.0ms (10.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	295	1	296
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	297	9	306

Merged error: 5.4b

Counts

306 → 9

Compiler

Compiled 8310 to 4982 computations (40% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (*.f64 z z))
0.4b	(/.f64 1 (.f64 (.f64 x (+.f64 1 (*.f64 z z))) y))
3.1b	(.f64 (.f64 x (+.f64 1 (*.f64 z z))) y)
3.3b	(.f64 x (+.f64 1 (.f64 z z)))

rewrite33.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-exp-log_binary64_9061`
20×	`add-cbrt-cube_binary64_9059`
17×	`pow1_binary64_9084`
13×	`prod-exp_binary64_9072`
11×	`add-sqr-sqrt_binary64_9045`
9×	`*-un-lft-identity_binary64_9023` `add-cube-cbrt_binary64_9058`
7×	`pow-prod-down_binary64_9094` `cbrt-unprod_binary64_9056`
6×	`associate-r_binary64_8963` `add-log-exp_binary64_9062` `associate-*r/_binary64_8965` `div-exp_binary64_9074`
4×	`associate-l_binary64_8964` `associate-*l/_binary64_8966` `flip-+_binary64_8997` `flip3-+_binary64_9026`
3×	`pow-flip_binary64_9097` `1-exp_binary64_9067` `associate-/l*_binary64_8968` `times-frac_binary64_9029` `cbrt-undiv_binary64_9057` `rec-exp_binary64_9073`
2×	`associate-/r/_binary64_8969` `*-commutative_binary64_8954`
1×	`frac-2neg_binary64_9034` `distribute-lft-in_binary64_8972` `div-inv_binary64_9020` `associate-/r*_binary64_8967` `inv-pow_binary64_9108` `distribute-rgt-in_binary64_8973` `unswap-sqr_binary64_8991` `+-commutative_binary64_8953` `clear-num_binary64_9022` `sum-log_binary64_9114`

Counts

4 → 88

Calls

4 calls:

9.0ms	(/.f64 1 (.f64 (.f64 x (+.f64 1 (*.f64 z z))) y))
8.0ms	(.f64 (.f64 x (+.f64 1 (*.f64 z z))) y)
6.0ms	(.f64 x (+.f64 1 (.f64 z z)))
3.0ms	(+.f64 1 (*.f64 z z))

series326.0ms (7.9%)

Counts

4 → 12

Calls

4 calls:

103.0ms	(.f64 (.f64 x (+.f64 1 (*.f64 z z))) y)
97.0ms	(/.f64 1 (.f64 (.f64 x (+.f64 1 (*.f64 z z))) y))
75.0ms	(.f64 x (+.f64 1 (.f64 z z)))
50.0ms	(+.f64 1 (*.f64 z z))

simplify85.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5133	1373

prune100.0ms (2.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	100	9	109

Merged error: 5.4b

Counts

109 → 9

Compiler

Compiled 1853 to 1164 computations (37.2% saved)

regimes175.0ms (4.2%)

Compiler: Compiled 1644 to 1333 computations (18.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	16
1	12	16

end0.0ms (0%)

sample701.0ms (16.9%)

Algorithm

1×

intervals

Results

285.0ms	8000×	body	128	valid
16.0ms	465×	body	128	invalid

Compiler

Compiled 251 to 197 computations (21.5% saved)

Details

analyze229.0ms (5.5%)

sample17.0ms (0.4%)

simplify171.0ms (4.1%)

prune2.0ms (0.1%)

localize8.0ms (0.2%)

rewrite27.0ms (0.6%)

series214.0ms (5.2%)

simplify86.0ms (2.1%)

prune350.0ms (8.5%)

localize9.0ms (0.2%)

rewrite67.0ms (1.6%)

series240.0ms (5.8%)

simplify107.0ms (2.6%)

prune301.0ms (7.3%)

localize7.0ms (0.2%)

rewrite76.0ms (1.8%)

series235.0ms (5.7%)

simplify132.0ms (3.2%)

prune430.0ms (10.4%)

localize7.0ms (0.2%)

rewrite33.0ms (0.8%)

series326.0ms (7.9%)

simplify85.0ms (2.1%)

prune100.0ms (2.4%)

regimes175.0ms (4.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample701.0ms (16.9%)

Profiling