Details

analyze1.3s (14%)

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%	99.8%	0.2%	10
7.8%	92%	0.2%	11
11.7%	88.1%	0.2%	12
17.9%	81.8%	0.2%	13
22.6%	77.2%	0.2%	14

Compiler

Compiled 14 to 14 computations (0% saved)

sample23.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	252×	body	128	valid
1.0ms	19×	body	128	invalid
0.0ms	2×	body	2048	valid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 27 to 32 computations (-18.5% saved)

simplify230.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (130.0ms)

Iter	Nodes	Cost
0	5048	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: 0.2b

Counts

2 → 1

Compiler

Compiled 26 to 26 computations (0% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 60 (-.f64 x y))
0.0b	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
0.3b	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))

rewrite37.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_22606`
15×	`*-un-lft-identity_binary64_22584`
10×	`add-cbrt-cube_binary64_22620` `add-exp-log_binary64_22622`
9×	`add-cube-cbrt_binary64_22619`
6×	`cancel-sign-sub-inv_binary64_22550`
5×	`associate-r_binary64_22524` `associate-/r*_binary64_22528` `add-log-exp_binary64_22623` `times-frac_binary64_22590` `pow1_binary64_22645`
4×	`associate-*r/_binary64_22526` `distribute-rgt-in_binary64_22534` `distribute-lft-in_binary64_22533`
3×	`difference-of-squares_binary64_22553` `distribute-lft-out--_binary64_22536` `associate-l_binary64_22525` `flip--_binary64_22559` `flip3--_binary64_22588`
2×	`associate-/l/_binary64_22531` `sub-neg_binary64_22577` `cbrt-undiv_binary64_22618` `div-exp_binary64_22635` `cbrt-unprod_binary64_22617` `prod-exp_binary64_22633` `associate-/r/_binary64_22530`
1×	`flip3-+_binary64_22587` `associate-/l_binary64_22529` `div-inv_binary64_22581` `clear-num_binary64_22583` `+-commutative_binary64_22514` `sum-log_binary64_22675` `-commutative_binary64_22515` `frac-2neg_binary64_22595` `flip-+_binary64_22558` `pow-prod-down_binary64_22655` `unswap-sqr_binary64_22552`

Counts

3 → 70

Calls

3 calls:

12.0ms	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
11.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
8.0ms	(*.f64 60 (-.f64 x y))

series787.0ms (8.5%)

Counts

3 → 63

Calls

3 calls:

475.0ms	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
247.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
65.0ms	(*.f64 60 (-.f64 x y))

Compiler

Compiled 1896 to 1724 computations (9.1% saved)

simplify75.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5299	1951

prune138.0ms (1.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	124	9	133
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	124	10	134

Merged error: 0.0b

Counts

134 → 10

Compiler

Compiled 2323 to 1225 computations (47.3% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))
0.0b	(/.f64 (-.f64 x y) (-.f64 z t))
0.3b	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))

rewrite54.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64_22606`
71×	`*-un-lft-identity_binary64_22584`
51×	`times-frac_binary64_22590`
31×	`associate-r_binary64_22524`
27×	`add-cube-cbrt_binary64_22619`
22×	`difference-of-squares_binary64_22553` `distribute-lft-out--_binary64_22536`
10×	`add-cbrt-cube_binary64_22620` `add-exp-log_binary64_22622`
5×	`associate-/l_binary64_22529` `associate-/r_binary64_22528` `add-log-exp_binary64_22623` `pow1_binary64_22645`
4×	`associate-/r/_binary64_22530`
3×	`associate-l_binary64_22525` `flip--_binary64_22559` `flip3--_binary64_22588`
2×	`associate-/l/_binary64_22531` `cbrt-undiv_binary64_22618` `div-exp_binary64_22635` `div-inv_binary64_22581` `cbrt-unprod_binary64_22617` `prod-exp_binary64_22633` `unswap-sqr_binary64_22552`
1×	`associate-r/_binary64_22526` `flip3-+_binary64_22587` `clear-num_binary64_22583` `+-commutative_binary64_22514` `sum-log_binary64_22675` `-commutative_binary64_22515` `div-sub_binary64_22589` `frac-2neg_binary64_22595` `flip-+_binary64_22558` `pow-prod-down_binary64_22655`

Counts

3 → 113

Calls

3 calls:

17.0ms	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))
16.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))
9.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

series921.0ms (9.9%)

Counts

3 → 72

Calls

3 calls:

468.0ms	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))
250.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))
203.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

Compiler

Compiled 2323 to 2049 computations (11.8% saved)

simplify81.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4984	3146
1	4984	3146

prune154.0ms (1.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	182	3	185
Fresh	4	4	8
Picked	0	1	1
Done	0	1	1
Total	186	9	195

Merged error: 0.0b

Counts

195 → 9

Compiler

Compiled 3531 to 1416 computations (59.9% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))) (*.f64 a 120))
0.0b	(/.f64 (-.f64 z t) (-.f64 x y))
0.8b	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))

rewrite85.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64_22590`
195×	`add-sqr-sqrt_binary64_22606` `*-un-lft-identity_binary64_22584`
91×	`add-cube-cbrt_binary64_22619`
52×	`difference-of-squares_binary64_22553` `distribute-lft-out--_binary64_22536`
36×	`associate-/r*_binary64_22528`
11×	`associate-/r/_binary64_22530`
10×	`add-cbrt-cube_binary64_22620` `add-exp-log_binary64_22622`
8×	`associate-/l*_binary64_22529`
6×	`div-inv_binary64_22581` `flip--_binary64_22559` `flip3--_binary64_22588`
5×	`add-log-exp_binary64_22623`
4×	`cbrt-undiv_binary64_22618` `div-exp_binary64_22635`
3×	`pow1_binary64_22645`
2×	`associate-/l/_binary64_22531` `clear-num_binary64_22583` `frac-2neg_binary64_22595`
1×	`flip3-+_binary64_22587` `+-commutative_binary64_22514` `sum-log_binary64_22675` `div-sub_binary64_22589` `flip-+_binary64_22558`

Counts

3 → 205

Calls

3 calls:

33.0ms	(+.f64 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))) (*.f64 a 120))
16.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))
9.0ms	(/.f64 (-.f64 z t) (-.f64 x y))

series970.0ms (10.4%)

Counts

3 → 79

Calls

3 calls:

469.0ms	(+.f64 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))) (*.f64 a 120))
250.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))
250.0ms	(/.f64 (-.f64 z t) (-.f64 x y))

Compiler

Compiled 2677 to 2313 computations (13.6% saved)

simplify95.0ms (1%)

Algorithm

1×	egg-herbie

Counts

284 → 284

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5199	6737

prune286.0ms (3.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	282	2	284
Fresh	2	4	6
Picked	0	1	1
Done	0	2	2
Total	284	9	293

Merged error: 0.0b

Counts

293 → 9

Compiler

Compiled 6313 to 2501 computations (60.4% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (/.f64 (sqrt.f64 60) (-.f64 z t)) (.f64 (-.f64 x y) (sqrt.f64 60))) (*.f64 a 120))
0.2b	(/.f64 (sqrt.f64 60) (-.f64 z t))
0.3b	(*.f64 (-.f64 x y) (sqrt.f64 60))
0.3b	(.f64 (/.f64 (sqrt.f64 60) (-.f64 z t)) (.f64 (-.f64 x y) (sqrt.f64 60)))

rewrite72.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64_22606`
71×	`*-un-lft-identity_binary64_22584`
60×	`times-frac_binary64_22590`
43×	`add-cube-cbrt_binary64_22619`
41×	`associate-l_binary64_22525`
37×	`sqrt-prod_binary64_22600`
20×	`add-cbrt-cube_binary64_22620` `add-exp-log_binary64_22622`
14×	`difference-of-squares_binary64_22553` `distribute-lft-out--_binary64_22536`
11×	`pow1_binary64_22645`
7×	`associate-r_binary64_22524` `cbrt-unprod_binary64_22617` `prod-exp_binary64_22633` `associate-*l/_binary64_22527`
6×	`associate-/l*_binary64_22529` `add-log-exp_binary64_22623`
5×	`associate-/r*_binary64_22528` `flip--_binary64_22559` `flip3--_binary64_22588`
4×	`associate-/r/_binary64_22530` `pow-prod-down_binary64_22655`
3×	`cbrt-undiv_binary64_22618` `div-exp_binary64_22635`
2×	`associate-r/_binary64_22526` `div-inv_binary64_22581` `frac-times_binary64_22594` `-commutative_binary64_22515` `unswap-sqr_binary64_22552`
1×	`flip3-+_binary64_22587` `clear-num_binary64_22583` `+-commutative_binary64_22514` `sum-log_binary64_22675` `frac-2neg_binary64_22595` `flip-+_binary64_22558`

Counts

4 → 152

Calls

4 calls:

24.0ms	(.f64 (/.f64 (sqrt.f64 60) (-.f64 z t)) (.f64 (-.f64 x y) (sqrt.f64 60)))
16.0ms	(+.f64 (.f64 (/.f64 (sqrt.f64 60) (-.f64 z t)) (.f64 (-.f64 x y) (sqrt.f64 60))) (*.f64 a 120))
8.0ms	(*.f64 (-.f64 x y) (sqrt.f64 60))
7.0ms	(/.f64 (sqrt.f64 60) (-.f64 z t))

series1.4s (15.2%)

Counts

4 → 72

Calls

4 calls:

796.0ms	(+.f64 (.f64 (/.f64 (sqrt.f64 60) (-.f64 z t)) (.f64 (-.f64 x y) (sqrt.f64 60))) (*.f64 a 120))
433.0ms	(.f64 (/.f64 (sqrt.f64 60) (-.f64 z t)) (.f64 (-.f64 x y) (sqrt.f64 60)))
114.0ms	(*.f64 (-.f64 x y) (sqrt.f64 60))
56.0ms	(/.f64 (sqrt.f64 60) (-.f64 z t))

Compiler

Compiled 2812 to 2631 computations (6.4% saved)

simplify88.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

224 → 224

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5001	3738

prune237.0ms (2.5%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	224	0	224
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	224	9	233

Merged error: 0.0b

Counts

233 → 9

Compiler

Compiled 4611 to 2647 computations (42.6% saved)

regimes835.0ms (9%)

Compiler: Compiled 8332 to 7462 computations (10.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	19
1	35	19

end0.0ms (0%)

sample1.4s (14.8%)

Algorithm

1×

intervals

Results

357.0ms	7872×	body	128	valid
34.0ms	690×	body	128	invalid
8.0ms	54×	body	1024	valid
5.0ms	26×	body	2048	valid
3.0ms	28×	body	512	valid
2.0ms	19×	body	256	valid
0.0ms	1×	body	4096	valid

Compiler

Compiled 734 to 662 computations (9.8% saved)

Details

analyze1.3s (14%)

sample23.0ms (0.3%)

simplify230.0ms (2.5%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite37.0ms (0.4%)

series787.0ms (8.5%)

simplify75.0ms (0.8%)

prune138.0ms (1.5%)

localize10.0ms (0.1%)

rewrite54.0ms (0.6%)

series921.0ms (9.9%)

simplify81.0ms (0.9%)

prune154.0ms (1.7%)

localize9.0ms (0.1%)

rewrite85.0ms (0.9%)

series970.0ms (10.4%)

simplify95.0ms (1%)

prune286.0ms (3.1%)

localize12.0ms (0.1%)

rewrite72.0ms (0.8%)

series1.4s (15.2%)

simplify88.0ms (0.9%)

prune237.0ms (2.5%)

regimes835.0ms (9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.4s (14.8%)

Profiling