Details

analyze962.0ms (12%)

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
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
26.2%	73.5%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample29.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	16×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify378.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (281.0ms)

Iter	Nodes	Cost
0	5599	16

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: 1.6b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
2.6b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite45.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64_15104`
71×	`*-un-lft-identity_binary64_15082`
51×	`times-frac_binary64_15088`
31×	`associate-r_binary64_15022`
27×	`add-cube-cbrt_binary64_15117`
22×	`distribute-lft-out--_binary64_15034` `difference-of-squares_binary64_15051`
10×	`add-cbrt-cube_binary64_15118` `add-exp-log_binary64_15120`
5×	`pow1_binary64_15143` `add-log-exp_binary64_15121` `associate-/r_binary64_15026` `associate-/l_binary64_15027`
4×	`associate-/r/_binary64_15028`
3×	`flip3--_binary64_15086` `associate-l_binary64_15023` `flip--_binary64_15057`
2×	`div-exp_binary64_15133` `associate-/l/_binary64_15029` `unswap-sqr_binary64_15050` `prod-exp_binary64_15131` `cbrt-unprod_binary64_15115` `cbrt-undiv_binary64_15116` `div-inv_binary64_15079`
1×	`pow-prod-down_binary64_15153` `sum-log_binary64_15173` `frac-2neg_binary64_15093` `div-sub_binary64_15087` `clear-num_binary64_15081` `flip-+_binary64_15056` `+-commutative_binary64_15012` `-commutative_binary64_15013` `associate-r/_binary64_15024` `flip3-+_binary64_15085`

Counts

3 → 113

Calls

3 calls:

16.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
10.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
4.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))

series788.0ms (9.8%)

Counts

3 → 68

Calls

3 calls:

435.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
220.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
133.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

Compiler

Compiled 1922 to 1502 computations (21.9% saved)

simplify79.0ms (1%)

Algorithm

1×	egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5011	3018

prune141.0ms (1.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	175	6	181
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	175	7	182

Merged error: 0.0b

Counts

182 → 7

Compiler

Compiled 3053 to 664 computations (78.3% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 1 (/.f64 (-.f64 a t) (-.f64 z t)))))
0.0b	(/.f64 (-.f64 a t) (-.f64 z t))
0.4b	(/.f64 1 (/.f64 (-.f64 a t) (-.f64 z t)))
2.6b	(*.f64 y (/.f64 1 (/.f64 (-.f64 a t) (-.f64 z t))))

rewrite114.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

392×	`times-frac_binary64_15088`
336×	`add-sqr-sqrt_binary64_15104`
324×	`*-un-lft-identity_binary64_15082`
158×	`add-cube-cbrt_binary64_15117`
98×	`associate-r_binary64_15022`
82×	`distribute-lft-out--_binary64_15034` `difference-of-squares_binary64_15051`
36×	`associate-/r*_binary64_15026` `add-exp-log_binary64_15120`
20×	`add-cbrt-cube_binary64_15118`
18×	`associate-/r/_binary64_15028`
15×	`div-exp_binary64_15133`
10×	`div-inv_binary64_15079`
9×	`flip3--_binary64_15086` `flip--_binary64_15057`
8×	`associate-/l*_binary64_15027`
7×	`prod-exp_binary64_15131` `cbrt-undiv_binary64_15116` `pow1_binary64_15143`
6×	`add-log-exp_binary64_15121`
5×	`unswap-sqr_binary64_15050`
4×	`1-exp_binary64_15126` `rec-exp_binary64_15132`
3×	`cbrt-unprod_binary64_15115` `associate-l_binary64_15023`
2×	`associate-/l/_binary64_15029` `frac-2neg_binary64_15093` `clear-num_binary64_15081`
1×	`pow-prod-down_binary64_15153` `inv-pow_binary64_15167` `sum-log_binary64_15173` `un-div-inv_binary64_15080` `div-sub_binary64_15087` `flip-+_binary64_15056` `+-commutative_binary64_15012` `-commutative_binary64_15013` `associate-r/_binary64_15024` `flip3-+_binary64_15085` `pow-flip_binary64_15156`

Counts

4 → 338

Calls

4 calls:

37.0ms	(*.f64 y (/.f64 1 (/.f64 (-.f64 a t) (-.f64 z t))))
13.0ms	(/.f64 1 (/.f64 (-.f64 a t) (-.f64 z t)))
9.0ms	(/.f64 (-.f64 a t) (-.f64 z t))
4.0ms	(+.f64 x (*.f64 y (/.f64 1 (/.f64 (-.f64 a t) (-.f64 z t)))))

series915.0ms (11.4%)

Counts

4 → 91

Calls

4 calls:

409.0ms	(+.f64 x (*.f64 y (/.f64 1 (/.f64 (-.f64 a t) (-.f64 z t)))))
207.0ms	(*.f64 y (/.f64 1 (/.f64 (-.f64 a t) (-.f64 z t))))
174.0ms	(/.f64 (-.f64 a t) (-.f64 z t))
125.0ms	(/.f64 1 (/.f64 (-.f64 a t) (-.f64 z t)))

Compiler

Compiled 2672 to 2120 computations (20.7% saved)

simplify136.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

429 → 429

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4980	8668
1	4980	8668

prune359.0ms (4.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	427	2	429
Fresh	3	2	5
Picked	1	0	1
Done	1	0	1
Total	432	4	436

Merged error: 0b

Counts

436 → 4

Compiler

Compiled 9024 to 2526 computations (72% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
0.0b	(/.f64 (-.f64 a t) (-.f64 z t))
2.6b	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

rewrite77.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64_15088`
197×	`*-un-lft-identity_binary64_15082`
195×	`add-sqr-sqrt_binary64_15104`
91×	`add-cube-cbrt_binary64_15117`
52×	`distribute-lft-out--_binary64_15034` `difference-of-squares_binary64_15051`
36×	`associate-/r*_binary64_15026`
11×	`associate-/r/_binary64_15028`
10×	`add-cbrt-cube_binary64_15118` `add-exp-log_binary64_15120`
8×	`associate-/l*_binary64_15027`
6×	`flip3--_binary64_15086` `div-inv_binary64_15079` `flip--_binary64_15057`
5×	`add-log-exp_binary64_15121`
4×	`div-exp_binary64_15133` `cbrt-undiv_binary64_15116`
3×	`pow1_binary64_15143`
2×	`associate-/l/_binary64_15029` `frac-2neg_binary64_15093` `clear-num_binary64_15081`
1×	`sum-log_binary64_15173` `div-sub_binary64_15087` `flip-+_binary64_15056` `+-commutative_binary64_15012` `distribute-lft-out_binary64_15033` `flip3-+_binary64_15085`

Counts

3 → 206

Calls

3 calls:

32.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
12.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))
8.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

series804.0ms (10%)

Counts

3 → 74

Calls

3 calls:

433.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
218.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))
152.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

Compiler

Compiled 2122 to 1653 computations (22.1% saved)

simplify95.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

280 → 280

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5015	6540

prune199.0ms (2.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	280	0	280
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	280	4	284

Merged error: 0b

Counts

284 → 4

Compiler

Compiled 5563 to 993 computations (82.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t)))
0.0b	(/.f64 y (-.f64 a t))
10.3b	(*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t))

rewrite34.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`add-sqr-sqrt_binary64_15104`
43×	`*-un-lft-identity_binary64_15082`
31×	`times-frac_binary64_15088`
27×	`add-cube-cbrt_binary64_15117`
21×	`associate-l_binary64_15023`
12×	`cancel-sign-sub-inv_binary64_15048`
10×	`add-cbrt-cube_binary64_15118` `add-exp-log_binary64_15120`
8×	`distribute-rgt-in_binary64_15032` `distribute-lft-out--_binary64_15034` `difference-of-squares_binary64_15051` `distribute-lft-in_binary64_15031` `associate-+r+_binary64_15014`
5×	`pow1_binary64_15143` `add-log-exp_binary64_15121` `associate-/r_binary64_15026` `associate-r*_binary64_15022`
4×	`flip3--_binary64_15086` `sub-neg_binary64_15075` `flip--_binary64_15057` `associate-/r/_binary64_15028`
3×	`associate-/l*_binary64_15027`
2×	`div-exp_binary64_15133` `unswap-sqr_binary64_15050` `frac-times_binary64_15092` `prod-exp_binary64_15131` `cbrt-unprod_binary64_15115` `cbrt-undiv_binary64_15116` `div-inv_binary64_15079` `associate-*r/_binary64_15024`
1×	`pow-prod-down_binary64_15153` `sum-log_binary64_15173` `frac-2neg_binary64_15093` `clear-num_binary64_15081` `flip-+_binary64_15056` `+-commutative_binary64_15012` `-commutative_binary64_15013` `associate-l/_binary64_15025` `flip3-+_binary64_15085`

Counts

3 → 110

Calls

3 calls:

15.0ms	(*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t))
5.0ms	(/.f64 y (-.f64 a t))
4.0ms	(+.f64 x (*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t)))

series708.0ms (8.8%)

Counts

3 → 63

Calls

3 calls:

398.0ms	(+.f64 x (*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t)))
226.0ms	(*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t))
84.0ms	(/.f64 y (-.f64 a t))

Compiler

Compiled 1752 to 1373 computations (21.6% saved)

simplify83.0ms (1%)

Algorithm

1×	egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4975	2690
1	4975	2690

prune115.0ms (1.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	173	4	177

Merged error: 0b

Counts

177 → 4

Compiler

Compiled 2763 to 578 computations (79.1% saved)

regimes599.0ms (7.5%)

Compiler: Compiled 5112 to 4219 computations (17.5% saved)

bsearch45.0ms (0.6%)

Steps

Iters	Range		Point
8	1.9111156944603508e-77	9.899560822805162e-73	5.328190999737839e-77
9	-3.21196093542215e+84	-1.8781332299128655e+79	-1.903298031775812e+79

Compiler

Compiled 1 to 5 computations (-400% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	60
1	41	60

end0.0ms (0%)

sample1.3s (15.8%)

Algorithm

1×

intervals

Results

336.0ms	7998×	body	128	valid
29.0ms	753×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 688 to 545 computations (20.8% saved)

Details

analyze962.0ms (12%)

sample29.0ms (0.4%)

simplify378.0ms (4.7%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite45.0ms (0.6%)

series788.0ms (9.8%)

simplify79.0ms (1%)

prune141.0ms (1.8%)

localize10.0ms (0.1%)

rewrite114.0ms (1.4%)

series915.0ms (11.4%)

simplify136.0ms (1.7%)

prune359.0ms (4.5%)

localize8.0ms (0.1%)

rewrite77.0ms (1%)

series804.0ms (10%)

simplify95.0ms (1.2%)

prune199.0ms (2.5%)

localize8.0ms (0.1%)

rewrite34.0ms (0.4%)

series708.0ms (8.8%)

simplify83.0ms (1%)

prune115.0ms (1.4%)

regimes599.0ms (7.5%)

bsearch45.0ms (0.6%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.3s (15.8%)

Profiling