Details

analyze942.0ms (15.3%)

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)

sample28.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	26×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify285.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	5502	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: 0.6b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize9.0ms (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))
1.3b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite46.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64_18633`
71×	`*-un-lft-identity_binary64_18612`
51×	`times-frac_binary64_18618`
31×	`associate-r_binary64_18554`
27×	`add-cube-cbrt_binary64_18644`
22×	`difference-of-squares_binary64_18581` `distribute-lft-out--_binary64_18566`
10×	`add-cbrt-cube_binary64_18645` `add-exp-log_binary64_18647`
5×	`add-log-exp_binary64_18648` `associate-/l_binary64_18559` `associate-/r_binary64_18558` `pow1_binary64_18670`
4×	`associate-/r/_binary64_18560`
3×	`flip3--_binary64_18616` `flip--_binary64_18587` `associate-l_binary64_18555`
2×	`prod-exp_binary64_18658` `unswap-sqr_binary64_18580` `div-exp_binary64_18660` `cbrt-unprod_binary64_18642` `div-inv_binary64_18609` `associate-/l/_binary64_18561` `cbrt-undiv_binary64_18643`
1×	`clear-num_binary64_18611` `pow-prod-down_binary64_18680` `+-commutative_binary64_18544` `frac-2neg_binary64_18623` `div-sub_binary64_18617` `associate-r/_binary64_18556` `sum-log_binary64_18700` `-commutative_binary64_18545` `flip-+_binary64_18586` `flip3-+_binary64_18615`

Counts

3 → 113

Calls

3 calls:

22.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
9.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
4.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))

series515.0ms (8.4%)

Counts

3 → 9

Calls

3 calls:

248.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
167.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
99.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

simplify70.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	6210	2068

prune110.0ms (1.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	114	8	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	114	9	123

Merged error: 0.0b

Counts

123 → 9

Compiler

Compiled 2359 to 526 computations (77.7% saved)

localize10.0ms (0.2%)

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))
0.2b	(/.f64 1 (/.f64 (-.f64 a t) (-.f64 z t)))
1.3b	(*.f64 y (/.f64 1 (/.f64 (-.f64 a t) (-.f64 z t))))

rewrite125.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

392×	`times-frac_binary64_18618`
336×	`add-sqr-sqrt_binary64_18633`
324×	`*-un-lft-identity_binary64_18612`
158×	`add-cube-cbrt_binary64_18644`
98×	`associate-r_binary64_18554`
82×	`difference-of-squares_binary64_18581` `distribute-lft-out--_binary64_18566`
36×	`associate-/r*_binary64_18558` `add-exp-log_binary64_18647`
20×	`add-cbrt-cube_binary64_18645`
18×	`associate-/r/_binary64_18560`
15×	`div-exp_binary64_18660`
10×	`div-inv_binary64_18609`
9×	`flip3--_binary64_18616` `flip--_binary64_18587`
8×	`associate-/l*_binary64_18559`
7×	`prod-exp_binary64_18658` `pow1_binary64_18670` `cbrt-undiv_binary64_18643`
6×	`add-log-exp_binary64_18648`
5×	`unswap-sqr_binary64_18580`
4×	`1-exp_binary64_18653` `rec-exp_binary64_18659`
3×	`cbrt-unprod_binary64_18642` `associate-l_binary64_18555`
2×	`clear-num_binary64_18611` `frac-2neg_binary64_18623` `associate-/l/_binary64_18561`
1×	`inv-pow_binary64_18694` `pow-prod-down_binary64_18680` `+-commutative_binary64_18544` `div-sub_binary64_18617` `associate-r/_binary64_18556` `sum-log_binary64_18700` `-commutative_binary64_18545` `flip-+_binary64_18586` `un-div-inv_binary64_18610` `flip3-+_binary64_18615` `pow-flip_binary64_18683`

Counts

4 → 338

Calls

4 calls:

40.0ms	(*.f64 y (/.f64 1 (/.f64 (-.f64 a t) (-.f64 z t))))
15.0ms	(/.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)))))

series940.0ms (15.2%)

Counts

4 → 12

Calls

4 calls:

321.0ms	(+.f64 x (*.f64 y (/.f64 1 (/.f64 (-.f64 a t) (-.f64 z t)))))
321.0ms	(*.f64 y (/.f64 1 (/.f64 (-.f64 a t) (-.f64 z t))))
204.0ms	(/.f64 1 (/.f64 (-.f64 a t) (-.f64 z t)))
93.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

simplify98.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

350 → 350

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5206	7045

prune304.0ms (4.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	348	2	350
Fresh	2	5	7
Picked	1	0	1
Done	1	0	1
Total	352	7	359

Merged error: 0.0b

Counts

359 → 7

Compiler

Compiled 7780 to 2125 computations (72.7% saved)

localize9.0ms (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))
1.4b	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

rewrite84.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64_18618`
197×	`*-un-lft-identity_binary64_18612`
195×	`add-sqr-sqrt_binary64_18633`
91×	`add-cube-cbrt_binary64_18644`
52×	`difference-of-squares_binary64_18581` `distribute-lft-out--_binary64_18566`
36×	`associate-/r*_binary64_18558`
11×	`associate-/r/_binary64_18560`
10×	`add-cbrt-cube_binary64_18645` `add-exp-log_binary64_18647`
8×	`associate-/l*_binary64_18559`
6×	`flip3--_binary64_18616` `flip--_binary64_18587` `div-inv_binary64_18609`
5×	`add-log-exp_binary64_18648`
4×	`div-exp_binary64_18660` `cbrt-undiv_binary64_18643`
3×	`pow1_binary64_18670`
2×	`clear-num_binary64_18611` `frac-2neg_binary64_18623` `associate-/l/_binary64_18561`
1×	`distribute-lft-out_binary64_18565` `+-commutative_binary64_18544` `div-sub_binary64_18617` `sum-log_binary64_18700` `flip-+_binary64_18586` `flip3-+_binary64_18615`

Counts

3 → 206

Calls

3 calls:

36.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
14.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))
9.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

series728.0ms (11.8%)

Counts

3 → 9

Calls

3 calls:

324.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
321.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))
83.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

simplify95.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5063	5201

prune164.0ms (2.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	214	1	215
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	215	7	222

Merged error: 0.0b

Counts

222 → 7

Compiler

Compiled 4599 to 787 computations (82.9% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (.f64 y (.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))))
0.2b	(*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))
1.3b	(.f64 y (.f64 (-.f64 z t) (/.f64 1 (-.f64 a t))))

rewrite43.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64_18633`
27×	`add-exp-log_binary64_18647`
23×	`*-un-lft-identity_binary64_18612`
22×	`associate-r_binary64_18554`
17×	`add-cbrt-cube_binary64_18645` `times-frac_binary64_18618`
14×	`add-cube-cbrt_binary64_18644`
13×	`prod-exp_binary64_18658`
10×	`pow1_binary64_18670`
8×	`associate-r/_binary64_18556` `associate-l*_binary64_18555`
7×	`cbrt-unprod_binary64_18642`
5×	`flip3--_binary64_18616` `add-log-exp_binary64_18648` `flip--_binary64_18587`
4×	`difference-of-squares_binary64_18581` `pow-prod-down_binary64_18680` `associate-*l/_binary64_18557` `frac-times_binary64_18622` `distribute-lft-out--_binary64_18566` `div-exp_binary64_18660`
3×	`unswap-sqr_binary64_18580`
2×	`associate-/r/_binary64_18560` `1-exp_binary64_18653` `*-commutative_binary64_18545` `un-div-inv_binary64_18610` `rec-exp_binary64_18659` `cbrt-undiv_binary64_18643`
1×	`+-commutative_binary64_18544` `sum-log_binary64_18700` `flip-+_binary64_18586` `div-inv_binary64_18609` `flip3-+_binary64_18615`

Counts

3 → 89

Calls

3 calls:

16.0ms	(*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))
14.0ms	(.f64 y (.f64 (-.f64 z t) (/.f64 1 (-.f64 a t))))
5.0ms	(+.f64 x (.f64 y (.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))))

series513.0ms (8.3%)

Counts

3 → 9

Calls

3 calls:

251.0ms	(+.f64 x (.f64 y (.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))))
175.0ms	(.f64 y (.f64 (-.f64 z t) (/.f64 1 (-.f64 a t))))
87.0ms	(*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))

simplify57.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5418	1416

prune69.0ms (1.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	98	7	105

Merged error: 0.0b

Counts

105 → 7

Compiler

Compiled 1651 to 486 computations (70.6% saved)

regimes106.0ms (1.7%)

Compiler: Compiled 743 to 617 computations (17% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	16
1	24	16

end0.0ms (0%)

sample802.0ms (13%)

Algorithm

1×

intervals

Results

326.0ms	7998×	body	128	valid
29.0ms	766×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 176 to 132 computations (25% saved)

Details

analyze942.0ms (15.3%)

sample28.0ms (0.4%)

simplify285.0ms (4.6%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite46.0ms (0.7%)

series515.0ms (8.4%)

simplify70.0ms (1.1%)

prune110.0ms (1.8%)

localize10.0ms (0.2%)

rewrite125.0ms (2%)

series940.0ms (15.2%)

simplify98.0ms (1.6%)

prune304.0ms (4.9%)

localize9.0ms (0.1%)

rewrite84.0ms (1.4%)

series728.0ms (11.8%)

simplify95.0ms (1.5%)

prune164.0ms (2.7%)

localize10.0ms (0.2%)

rewrite43.0ms (0.7%)

series513.0ms (8.3%)

simplify57.0ms (0.9%)

prune69.0ms (1.1%)

regimes106.0ms (1.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample802.0ms (13%)

Profiling