Details

analyze1.1s (13.7%)

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 (0.3%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	11×	body	128	invalid

Compiler

Compiled 27 to 30 computations (-11.1% saved)

simplify308.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (146.0ms)

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: 2.6b

Counts

2 → 1

Compiler

Compiled 26 to 24 computations (7.7% saved)

localize9.0ms (0.1%)

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)
9.7b	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))

rewrite91.0ms (1.1%)

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:

37.0ms	(-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a)))
15.0ms	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))
10.0ms	(/.f64 (+.f64 (-.f64 t z) 1) a)

series610.0ms (7.7%)

Counts

3 → 9

Calls

3 calls:

301.0ms	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))
263.0ms	(-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a)))
47.0ms	(/.f64 (+.f64 (-.f64 t z) 1) a)

simplify96.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5581	5408

prune217.0ms (2.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	196	4	200
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	197	4	201

Merged error: 0b

Counts

201 → 4

Compiler

Compiled 4639 to 1853 computations (60.1% saved)

localize9.0ms (0.1%)

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))
0.7b	(*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) a)

rewrite49.0ms (0.6%)

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)
13.0ms	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1))
6.0ms	(-.f64 x (*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) a))

series661.0ms (8.3%)

Counts

3 → 9

Calls

3 calls:

297.0ms	(*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) a)
267.0ms	(-.f64 x (*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) a))
96.0ms	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1))

simplify67.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5479	2426

prune113.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	122	4	126

Merged error: 0b

Counts

126 → 4

Compiler

Compiled 2589 to 1132 computations (56.3% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite271.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Rules

1079×	`times-frac_binary64_16596`
929×	`*-un-lft-identity_binary64_16590`
570×	`add-sqr-sqrt_binary64_16611`
393×	`add-cube-cbrt_binary64_16622`
153×	`distribute-lft-out--_binary64_16544`
152×	`distribute-lft-out_binary64_16543`
83×	`difference-of-squares_binary64_16559`
48×	`div-inv_binary64_16587`
36×	`associate-/l*_binary64_16537`
31×	`associate-/r/_binary64_16538`
27×	`add-exp-log_binary64_16625`
18×	`associate-/r*_binary64_16536`
17×	`div-exp_binary64_16638` `add-cbrt-cube_binary64_16623`
15×	`flip-+_binary64_16564` `flip3-+_binary64_16593`
9×	`cbrt-undiv_binary64_16621`
5×	`add-log-exp_binary64_16626` `div-sub_binary64_16595`
3×	`associate-/l/_binary64_16539` `pow1_binary64_16648`
2×	`clear-num_binary64_16589` `frac-2neg_binary64_16601` `flip3--_binary64_16594` `1-exp_binary64_16631` `flip--_binary64_16565` `rec-exp_binary64_16637`
1×	`sub-neg_binary64_16583` `associate--r-_binary64_16531` `diff-log_binary64_16679`

Counts

3 → 544

Calls

3 calls:

125.0ms	(-.f64 x (/.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) (/.f64 1 a)))
29.0ms	(/.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) (/.f64 1 a))
12.0ms	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1))

series679.0ms (8.5%)

Counts

3 → 9

Calls

3 calls:

294.0ms	(/.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) (/.f64 1 a))
283.0ms	(-.f64 x (/.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) (/.f64 1 a)))
102.0ms	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1))

simplify205.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

553 → 553

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	6007	19655

prune729.0ms (9.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	553	0	553
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	553	4	557

Merged error: 0b

Counts

557 → 4

Compiler

Compiled 15147 to 6714 computations (55.7% saved)

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 x (*.f64 (-.f64 y z) (/.f64 a (+.f64 (-.f64 t z) 1))))
8.2b	(*.f64 (-.f64 y z) (/.f64 a (+.f64 (-.f64 t z) 1)))

rewrite28.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`*-un-lft-identity_binary64_16590`
21×	`associate-r_binary64_16532`
19×	`add-sqr-sqrt_binary64_16611`
16×	`times-frac_binary64_16596`
12×	`add-cube-cbrt_binary64_16622`
7×	`add-exp-log_binary64_16625` `add-cbrt-cube_binary64_16623`
6×	`distribute-lft-out_binary64_16543`
5×	`associate-l_binary64_16533`
4×	`add-log-exp_binary64_16626` `pow1_binary64_16648` `distribute-lft-out--_binary64_16544`
3×	`flip3--_binary64_16594` `flip--_binary64_16565`
2×	`unswap-sqr_binary64_16558` `associate-*l/_binary64_16535` `frac-times_binary64_16600` `associate-/r/_binary64_16538` `cbrt-unprod_binary64_16620` `prod-exp_binary64_16636`
1×	`pow-prod-down_binary64_16658` `associate-r/_binary64_16534` `sub-neg_binary64_16583` `flip-+_binary64_16564` `difference-of-squares_binary64_16559` `cbrt-undiv_binary64_16621` `div-exp_binary64_16638` `div-inv_binary64_16587` `diff-log_binary64_16679` `-commutative_binary64_16523` `flip3-+_binary64_16593`

Counts

2 → 57

Calls

2 calls:

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

series432.0ms (5.4%)

Counts

2 → 6

Calls

2 calls:

282.0ms	(-.f64 x (*.f64 (-.f64 y z) (/.f64 a (+.f64 (-.f64 t z) 1))))
150.0ms	(*.f64 (-.f64 y z) (/.f64 a (+.f64 (-.f64 t z) 1)))

simplify58.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5309	1243

prune56.0ms (0.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	63	4	67

Merged error: 0b

Counts

67 → 4

Compiler

Compiled 1263 to 547 computations (56.7% saved)

regimes612.0ms (7.7%)

Compiler: Compiled 7152 to 5199 computations (27.3% 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%)

sample1.5s (18.9%)

Algorithm

1×

intervals

Results

340.0ms	7998×	body	128	valid
19.0ms	487×	body	128	invalid
0.0ms	1×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 1036 to 756 computations (27% saved)

Details

analyze1.1s (13.7%)

sample23.0ms (0.3%)

simplify308.0ms (3.9%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite91.0ms (1.1%)

series610.0ms (7.7%)

simplify96.0ms (1.2%)

prune217.0ms (2.7%)

localize9.0ms (0.1%)

rewrite49.0ms (0.6%)

series661.0ms (8.3%)

simplify67.0ms (0.8%)

prune113.0ms (1.4%)

localize11.0ms (0.1%)

rewrite271.0ms (3.4%)

series679.0ms (8.5%)

simplify205.0ms (2.6%)

prune729.0ms (9.2%)

localize17.0ms (0.2%)

rewrite28.0ms (0.3%)

series432.0ms (5.4%)

simplify58.0ms (0.7%)

prune56.0ms (0.7%)

regimes612.0ms (7.7%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.5s (18.9%)

Profiling