Details

analyze1.1s (18.1%)

Algorithm

1×

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
0%	99.8%	0.2%	9
0.4%	99.4%	0.2%	10
5.6%	94.2%	0.2%	11
7.1%	92.7%	0.2%	12
8.8%	91%	0.2%	13
15.6%	84.2%	0.2%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample23.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	9×	body	128	invalid

Compiler

Compiled 27 to 30 computations (-11.1% saved)

simplify312.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (147.0ms)

Iter	Nodes	Cost
0	4963	19
1	4963	19

prune2.0ms (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

Merged error: 1.7b

Counts

2 → 1

Compiler

Compiled 26 to 24 computations (7.7% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a)))
0.0b	(/.f64 (+.f64 (-.f64 t z) 1) a)
8.4b	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))

rewrite91.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

239×	`*-un-lft-identity_binary64_16590`
203×	`times-frac_binary64_16596`
136×	`add-sqr-sqrt_binary64_16611`
87×	`add-cube-cbrt_binary64_16622`
44×	`distribute-lft-out_binary64_16543`
43×	`distribute-lft-out--_binary64_16544`
23×	`difference-of-squares_binary64_16559`
22×	`associate-/r*_binary64_16536`
10×	`associate-/l*_binary64_16537` `add-exp-log_binary64_16625` `add-cbrt-cube_binary64_16623`
8×	`div-inv_binary64_16587`
5×	`add-log-exp_binary64_16626`
4×	`associate-/l/_binary64_16539` `cbrt-undiv_binary64_16621` `div-exp_binary64_16638`
3×	`pow1_binary64_16648` `div-sub_binary64_16595`
2×	`clear-num_binary64_16589` `frac-2neg_binary64_16601` `flip3--_binary64_16594` `flip--_binary64_16565`
1×	`associate-+l-_binary64_16527` `sub-neg_binary64_16583` `associate--r-_binary64_16531` `flip-+_binary64_16564` `associate-/r/_binary64_16538` `diff-log_binary64_16679` `flip3-+_binary64_16593`

Counts

3 → 191

Calls

3 calls:

41.0ms	(-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a)))
17.0ms	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))
10.0ms	(/.f64 (+.f64 (-.f64 t z) 1) a)

series622.0ms (10.3%)

Counts

3 → 9

Calls

3 calls:

306.0ms	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))
268.0ms	(-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a)))
48.0ms	(/.f64 (+.f64 (-.f64 t z) 1) a)

simplify94.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5581	5408

prune231.0ms (3.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	197	3	200
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	198	3	201

Merged error: 0b

Counts

201 → 3

Compiler

Compiled 4621 to 1840 computations (60.2% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) a))
0.0b	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1))
0.8b	(*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) a)

rewrite45.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

104×	`*-un-lft-identity_binary64_16590`
54×	`add-sqr-sqrt_binary64_16611`
51×	`times-frac_binary64_16596`
31×	`associate-l_binary64_16533`
27×	`add-cube-cbrt_binary64_16622`
22×	`distribute-lft-out_binary64_16543` `distribute-lft-out--_binary64_16544`
11×	`difference-of-squares_binary64_16559`
10×	`add-exp-log_binary64_16625` `add-cbrt-cube_binary64_16623`
5×	`add-log-exp_binary64_16626` `associate-/l_binary64_16537` `pow1_binary64_16648` `associate-/r_binary64_16536`
4×	`associate-/r/_binary64_16538`
3×	`associate-r_binary64_16532`
2×	`unswap-sqr_binary64_16558` `associate-/l/_binary64_16539` `flip-+_binary64_16564` `flip3--_binary64_16594` `cbrt-undiv_binary64_16621` `div-exp_binary64_16638` `div-inv_binary64_16587` `cbrt-unprod_binary64_16620` `prod-exp_binary64_16636` `flip--_binary64_16565` `flip3-+_binary64_16593`
1×	`pow-prod-down_binary64_16658` `clear-num_binary64_16589` `associate-l/_binary64_16535` `sub-neg_binary64_16583` `frac-2neg_binary64_16601` `div-sub_binary64_16595` `diff-log_binary64_16679` `-commutative_binary64_16523`

Counts

3 → 113

Calls

3 calls:

18.0ms	(*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) a)
12.0ms	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1))
4.0ms	(-.f64 x (*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) a))

series662.0ms (11%)

Counts

3 → 9

Calls

3 calls:

301.0ms	(*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) a)
270.0ms	(-.f64 x (*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) a))
91.0ms	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1))

simplify64.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5479	2426

prune107.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	122	3	125

Merged error: 0b

Counts

125 → 3

Compiler

Compiled 2571 to 1119 computations (56.5% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 a (+.f64 (-.f64 t z) 1))
0.0b	(-.f64 x (*.f64 (-.f64 y z) (/.f64 a (+.f64 (-.f64 t z) 1))))
8.4b	(*.f64 (-.f64 y z) (/.f64 a (+.f64 (-.f64 t z) 1)))

rewrite43.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`*-un-lft-identity_binary64_16590`
31×	`times-frac_binary64_16596`
30×	`add-sqr-sqrt_binary64_16611`
23×	`add-cube-cbrt_binary64_16622`
21×	`associate-r_binary64_16532`
14×	`distribute-lft-out_binary64_16543`
10×	`add-exp-log_binary64_16625` `add-cbrt-cube_binary64_16623`
8×	`distribute-lft-out--_binary64_16544`
5×	`add-log-exp_binary64_16626` `pow1_binary64_16648` `associate-l_binary64_16533` `associate-/r*_binary64_16536`
4×	`associate-/r/_binary64_16538`
3×	`associate-/l*_binary64_16537` `flip3--_binary64_16594` `flip--_binary64_16565`
2×	`unswap-sqr_binary64_16558` `associate-*l/_binary64_16535` `flip-+_binary64_16564` `cbrt-undiv_binary64_16621` `div-exp_binary64_16638` `div-inv_binary64_16587` `frac-times_binary64_16600` `cbrt-unprod_binary64_16620` `prod-exp_binary64_16636` `flip3-+_binary64_16593`
1×	`pow-prod-down_binary64_16658` `associate-r/_binary64_16534` `clear-num_binary64_16589` `sub-neg_binary64_16583` `frac-2neg_binary64_16601` `difference-of-squares_binary64_16559` `diff-log_binary64_16679` `-commutative_binary64_16523`

Counts

3 → 94

Calls

3 calls:

19.0ms	(*.f64 (-.f64 y z) (/.f64 a (+.f64 (-.f64 t z) 1)))
12.0ms	(/.f64 a (+.f64 (-.f64 t z) 1))
4.0ms	(-.f64 x (*.f64 (-.f64 y z) (/.f64 a (+.f64 (-.f64 t z) 1))))

series510.0ms (8.4%)

Counts

3 → 9

Calls

3 calls:

289.0ms	(-.f64 x (*.f64 (-.f64 y z) (/.f64 a (+.f64 (-.f64 t z) 1))))
152.0ms	(*.f64 (-.f64 y z) (/.f64 a (+.f64 (-.f64 t z) 1)))
68.0ms	(/.f64 a (+.f64 (-.f64 t z) 1))

simplify61.0ms (1%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5170	1851

prune91.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	103	3	106

Merged error: 0b

Counts

106 → 3

Compiler

Compiled 2042 to 891 computations (56.4% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 (-.f64 t z) 1) a)
0.0b	(/.f64 (+.f64 (-.f64 t z) 1) a)
4.6b	(/.f64 y (/.f64 (+.f64 (-.f64 t z) 1) a))
6.2b	(/.f64 z (/.f64 (+.f64 (-.f64 t z) 1) a))

rewrite83.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

296×	`*-un-lft-identity_binary64_16590`
264×	`times-frac_binary64_16596`
136×	`add-cube-cbrt_binary64_16622` `add-sqr-sqrt_binary64_16611`
64×	`distribute-lft-out_binary64_16543`
44×	`associate-/r*_binary64_16536`
32×	`distribute-lft-out--_binary64_16544`
18×	`add-exp-log_binary64_16625` `add-cbrt-cube_binary64_16623`
16×	`associate-/l*_binary64_16537`
12×	`div-inv_binary64_16587`
8×	`cbrt-undiv_binary64_16621` `div-exp_binary64_16638`
4×	`clear-num_binary64_16589` `add-log-exp_binary64_16626` `associate-/l/_binary64_16539` `frac-2neg_binary64_16601` `pow1_binary64_16648`
2×	`associate-+l-_binary64_16527` `flip-+_binary64_16564` `div-sub_binary64_16595` `associate-/r/_binary64_16538` `flip3-+_binary64_16593`

Counts

4 → 264

Calls

4 calls:

12.0ms	(/.f64 y (/.f64 (+.f64 (-.f64 t z) 1) a))
12.0ms	(/.f64 z (/.f64 (+.f64 (-.f64 t z) 1) a))
10.0ms	(/.f64 (+.f64 (-.f64 t z) 1) a)
9.0ms	(/.f64 (+.f64 (-.f64 t z) 1) a)

series582.0ms (9.6%)

Counts

4 → 12

Calls

4 calls:

266.0ms	(/.f64 y (/.f64 (+.f64 (-.f64 t z) 1) a))
216.0ms	(/.f64 z (/.f64 (+.f64 (-.f64 t z) 1) a))
51.0ms	(/.f64 (+.f64 (-.f64 t z) 1) a)
50.0ms	(/.f64 (+.f64 (-.f64 t z) 1) a)

simplify101.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

276 → 276

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5705	5948

prune347.0ms (5.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	276	0	276
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	276	3	279

Merged error: 0b

Counts

279 → 3

Compiler

Compiled 8126 to 3793 computations (53.3% saved)

regimes54.0ms (0.9%)

Compiler: Compiled 245 to 250 computations (-2% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	134	19
1	134	19

end0.0ms (0%)

sample774.0ms (12.8%)

Algorithm

1×

intervals

Results

361.0ms	7999×	body	128	valid
26.0ms	520×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 87 to 82 computations (5.7% saved)

Details

analyze1.1s (18.1%)

sample23.0ms (0.4%)

simplify312.0ms (5.2%)

prune2.0ms (0%)

localize10.0ms (0.2%)

rewrite91.0ms (1.5%)

series622.0ms (10.3%)

simplify94.0ms (1.6%)

prune231.0ms (3.8%)

localize10.0ms (0.2%)

rewrite45.0ms (0.7%)

series662.0ms (11%)

simplify64.0ms (1.1%)

prune107.0ms (1.8%)

localize10.0ms (0.2%)

rewrite43.0ms (0.7%)

series510.0ms (8.4%)

simplify61.0ms (1%)

prune91.0ms (1.5%)

localize11.0ms (0.2%)

rewrite83.0ms (1.4%)

series582.0ms (9.6%)

simplify101.0ms (1.7%)

prune347.0ms (5.7%)

regimes54.0ms (0.9%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample774.0ms (12.8%)

Profiling