Details

analyze921.0ms (14.4%)

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)

sample22.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	26×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify310.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (143.0ms)

Iter	Nodes	Cost
0	5681	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)

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

rewrite47.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64_17645`
71×	`*-un-lft-identity_binary64_17623`
51×	`times-frac_binary64_17629`
31×	`associate-r_binary64_17563`
27×	`add-cube-cbrt_binary64_17658`
22×	`distribute-lft-out--_binary64_17575` `difference-of-squares_binary64_17592`
10×	`add-cbrt-cube_binary64_17659` `add-exp-log_binary64_17661`
5×	`associate-/r_binary64_17567` `associate-/l_binary64_17568` `add-log-exp_binary64_17662` `pow1_binary64_17684`
4×	`associate-/r/_binary64_17569`
3×	`associate-l_binary64_17564` `flip3--_binary64_17627` `flip--_binary64_17598`
2×	`prod-exp_binary64_17672` `unswap-sqr_binary64_17591` `div-inv_binary64_17620` `associate-/l/_binary64_17570` `cbrt-undiv_binary64_17657` `cbrt-unprod_binary64_17656` `div-exp_binary64_17674`
1×	`-commutative_binary64_17554` `sum-log_binary64_17714` `frac-2neg_binary64_17634` `flip3-+_binary64_17626` `associate-r/_binary64_17565` `div-sub_binary64_17628` `pow-prod-down_binary64_17694` `flip-+_binary64_17597` `+-commutative_binary64_17553` `clear-num_binary64_17622`

Counts

3 → 113

Calls

3 calls:

18.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
13.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
4.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))

series509.0ms (8%)

Counts

3 → 9

Calls

3 calls:

246.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
169.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
93.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

simplify73.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	6265	2068

prune277.0ms (4.3%)

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 5745 to 2687 computations (53.2% saved)

localize9.0ms (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))
0.2b	(/.f64 1 (/.f64 (-.f64 a t) (-.f64 z t)))
1.3b	(*.f64 y (/.f64 1 (/.f64 (-.f64 a t) (-.f64 z t))))

rewrite119.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

392×	`times-frac_binary64_17629`
336×	`add-sqr-sqrt_binary64_17645`
324×	`*-un-lft-identity_binary64_17623`
158×	`add-cube-cbrt_binary64_17658`
98×	`associate-r_binary64_17563`
82×	`distribute-lft-out--_binary64_17575` `difference-of-squares_binary64_17592`
36×	`associate-/r*_binary64_17567` `add-exp-log_binary64_17661`
20×	`add-cbrt-cube_binary64_17659`
18×	`associate-/r/_binary64_17569`
15×	`div-exp_binary64_17674`
10×	`div-inv_binary64_17620`
9×	`flip3--_binary64_17627` `flip--_binary64_17598`
8×	`associate-/l*_binary64_17568`
7×	`prod-exp_binary64_17672` `cbrt-undiv_binary64_17657` `pow1_binary64_17684`
6×	`add-log-exp_binary64_17662`
5×	`unswap-sqr_binary64_17591`
4×	`rec-exp_binary64_17673` `1-exp_binary64_17667`
3×	`associate-l_binary64_17564` `cbrt-unprod_binary64_17656`
2×	`frac-2neg_binary64_17634` `associate-/l/_binary64_17570` `clear-num_binary64_17622`
1×	`-commutative_binary64_17554` `sum-log_binary64_17714` `pow-flip_binary64_17697` `flip3-+_binary64_17626` `un-div-inv_binary64_17621` `associate-r/_binary64_17565` `div-sub_binary64_17628` `pow-prod-down_binary64_17694` `flip-+_binary64_17597` `+-commutative_binary64_17553` `inv-pow_binary64_17708`

Counts

4 → 338

Calls

4 calls:

39.0ms	(*.f64 y (/.f64 1 (/.f64 (-.f64 a t) (-.f64 z t))))
15.0ms	(/.f64 1 (/.f64 (-.f64 a t) (-.f64 z t)))
10.0ms	(/.f64 (-.f64 a t) (-.f64 z t))
4.0ms	(+.f64 x (*.f64 y (/.f64 1 (/.f64 (-.f64 a t) (-.f64 z t)))))

series930.0ms (14.6%)

Counts

4 → 12

Calls

4 calls:

322.0ms	(+.f64 x (*.f64 y (/.f64 1 (/.f64 (-.f64 a t) (-.f64 z t)))))
320.0ms	(*.f64 y (/.f64 1 (/.f64 (-.f64 a t) (-.f64 z t))))
199.0ms	(/.f64 1 (/.f64 (-.f64 a t) (-.f64 z t)))
88.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

simplify96.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

350 → 350

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5270	7045

prune382.0ms (6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	348	2	350
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	351	8	359

Merged error: 0.0b

Counts

359 → 8

Compiler

Compiled 9081 to 3091 computations (66% 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))
1.4b	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

rewrite86.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64_17629`
197×	`*-un-lft-identity_binary64_17623`
195×	`add-sqr-sqrt_binary64_17645`
91×	`add-cube-cbrt_binary64_17658`
52×	`distribute-lft-out--_binary64_17575` `difference-of-squares_binary64_17592`
36×	`associate-/r*_binary64_17567`
11×	`associate-/r/_binary64_17569`
10×	`add-cbrt-cube_binary64_17659` `add-exp-log_binary64_17661`
8×	`associate-/l*_binary64_17568`
6×	`div-inv_binary64_17620` `flip3--_binary64_17627` `flip--_binary64_17598`
5×	`add-log-exp_binary64_17662`
4×	`cbrt-undiv_binary64_17657` `div-exp_binary64_17674`
3×	`pow1_binary64_17684`
2×	`frac-2neg_binary64_17634` `associate-/l/_binary64_17570` `clear-num_binary64_17622`
1×	`sum-log_binary64_17714` `distribute-lft-out_binary64_17574` `flip3-+_binary64_17626` `div-sub_binary64_17628` `flip-+_binary64_17597` `+-commutative_binary64_17553`

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))

series725.0ms (11.4%)

Counts

3 → 9

Calls

3 calls:

320.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
312.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))
93.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

simplify96.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5088	5201

prune172.0ms (2.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	214	1	215
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	217	6	223

Merged error: 0.0b

Counts

223 → 6

Compiler

Compiled 4862 to 979 computations (79.9% saved)

localize9.0ms (0.1%)

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))))

rewrite49.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64_17645`
27×	`add-exp-log_binary64_17661`
23×	`*-un-lft-identity_binary64_17623`
22×	`associate-r_binary64_17563`
17×	`add-cbrt-cube_binary64_17659` `times-frac_binary64_17629`
14×	`add-cube-cbrt_binary64_17658`
13×	`prod-exp_binary64_17672`
10×	`pow1_binary64_17684`
8×	`associate-l_binary64_17564` `associate-*r/_binary64_17565`
7×	`cbrt-unprod_binary64_17656`
5×	`flip3--_binary64_17627` `flip--_binary64_17598` `add-log-exp_binary64_17662`
4×	`frac-times_binary64_17633` `distribute-lft-out--_binary64_17575` `associate-*l/_binary64_17566` `pow-prod-down_binary64_17694` `difference-of-squares_binary64_17592` `div-exp_binary64_17674`
3×	`unswap-sqr_binary64_17591`
2×	`*-commutative_binary64_17554` `associate-/r/_binary64_17569` `cbrt-undiv_binary64_17657` `un-div-inv_binary64_17621` `rec-exp_binary64_17673` `1-exp_binary64_17667`
1×	`sum-log_binary64_17714` `div-inv_binary64_17620` `flip3-+_binary64_17626` `flip-+_binary64_17597` `+-commutative_binary64_17553`

Counts

3 → 89

Calls

3 calls:

20.0ms	(*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))
16.0ms	(.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)))))

series520.0ms (8.1%)

Counts

3 → 9

Calls

3 calls:

257.0ms	(+.f64 x (.f64 y (.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))))
176.0ms	(.f64 y (.f64 (-.f64 z t) (/.f64 1 (-.f64 a t))))
87.0ms	(*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))

simplify55.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5434	1416

prune67.0ms (1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	98	6	104

Merged error: 0.0b

Counts

104 → 6

Compiler

Compiled 1651 to 486 computations (70.6% saved)

regimes118.0ms (1.9%)

Compiler: Compiled 808 to 656 computations (18.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	16
1	25	16

end0.0ms (0%)

sample762.0ms (12%)

Algorithm

1×

intervals

Results

296.0ms	7998×	body	128	valid
31.0ms	766×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 159 to 116 computations (27% saved)

Details

analyze921.0ms (14.4%)

sample22.0ms (0.3%)

simplify310.0ms (4.9%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite47.0ms (0.7%)

series509.0ms (8%)

simplify73.0ms (1.1%)

prune277.0ms (4.3%)

localize9.0ms (0.1%)

rewrite119.0ms (1.9%)

series930.0ms (14.6%)

simplify96.0ms (1.5%)

prune382.0ms (6%)

localize8.0ms (0.1%)

rewrite86.0ms (1.4%)

series725.0ms (11.4%)

simplify96.0ms (1.5%)

prune172.0ms (2.7%)

localize9.0ms (0.1%)

rewrite49.0ms (0.8%)

series520.0ms (8.1%)

simplify55.0ms (0.9%)

prune67.0ms (1%)

regimes118.0ms (1.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample762.0ms (12%)

Profiling