Details

analyze1.1s (16.2%)

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)

sample28.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	9×	body	128	invalid

Compiler

Compiled 27 to 30 computations (-11.1% saved)

simplify330.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (165.0ms)

Iter	Nodes	Cost
0	4920	19
1	4920	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: 1.7b

Counts

2 → 1

Compiler

Compiled 26 to 24 computations (7.7% saved)

localize14.0ms (0.2%)

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)
8.4b	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))

rewrite112.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

417×	`*-un-lft-identity_binary64_17623`
373×	`times-frac_binary64_17629`
239×	`add-sqr-sqrt_binary64_17645`
152×	`add-cube-cbrt_binary64_17658`
100×	`cancel-sign-sub-inv_binary64_17589`
77×	`distribute-lft-out--_binary64_17575`
74×	`distribute-lft-out_binary64_17574`
42×	`difference-of-squares_binary64_17592`
22×	`associate-/r*_binary64_17567`
14×	`div-inv_binary64_17620`
10×	`add-cbrt-cube_binary64_17659` `associate-/l*_binary64_17568` `add-exp-log_binary64_17661`
5×	`add-log-exp_binary64_17662`
4×	`associate-/l/_binary64_17570` `cbrt-undiv_binary64_17657` `div-exp_binary64_17674`
3×	`div-sub_binary64_17628` `pow1_binary64_17684`
2×	`associate-/r/_binary64_17569` `frac-2neg_binary64_17634` `flip3--_binary64_17627` `flip--_binary64_17598` `clear-num_binary64_17622`
1×	`associate--r-_binary64_17562` `flip3-+_binary64_17626` `diff-log_binary64_17715` `sub-neg_binary64_17616` `associate-+l-_binary64_17558` `flip-+_binary64_17597`

Counts

3 → 291

Calls

3 calls:

43.0ms	(-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a)))
16.0ms	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))
9.0ms	(/.f64 (+.f64 (-.f64 t z) 1) a)

series651.0ms (9.8%)

Counts

3 → 9

Calls

3 calls:

312.0ms	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))
282.0ms	(-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a)))
57.0ms	(/.f64 (+.f64 (-.f64 t z) 1) a)

simplify122.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

300 → 300

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5468	8521

prune736.0ms (11%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	297	3	300
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	298	3	301

Merged error: 0b

Counts

301 → 3

Compiler

Compiled 15785 to 8866 computations (43.8% saved)

localize12.0ms (0.2%)

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))
0.8b	(*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) a)

rewrite45.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

104×	`*-un-lft-identity_binary64_17623`
54×	`add-sqr-sqrt_binary64_17645`
51×	`times-frac_binary64_17629`
31×	`associate-l_binary64_17564`
27×	`add-cube-cbrt_binary64_17658`
22×	`distribute-lft-out_binary64_17574` `distribute-lft-out--_binary64_17575`
11×	`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-r_binary64_17563`
2×	`prod-exp_binary64_17672` `unswap-sqr_binary64_17591` `div-inv_binary64_17620` `flip3-+_binary64_17626` `associate-/l/_binary64_17570` `cbrt-undiv_binary64_17657` `cbrt-unprod_binary64_17656` `flip3--_binary64_17627` `flip--_binary64_17598` `flip-+_binary64_17597` `div-exp_binary64_17674`
1×	`-commutative_binary64_17554` `frac-2neg_binary64_17634` `diff-log_binary64_17715` `sub-neg_binary64_17616` `associate-l/_binary64_17566` `div-sub_binary64_17628` `pow-prod-down_binary64_17694` `cancel-sign-sub-inv_binary64_17589` `clear-num_binary64_17622`

Counts

3 → 114

Calls

3 calls:

18.0ms	(*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) a)
12.0ms	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1))
4.0ms	(-.f64 x (*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) a))

series688.0ms (10.3%)

Counts

3 → 9

Calls

3 calls:

307.0ms	(*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) a)
279.0ms	(-.f64 x (*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) a))
102.0ms	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1))

simplify67.0ms (1%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5940	2442

prune112.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	123	3	126

Merged error: 0b

Counts

126 → 3

Compiler

Compiled 2646 to 1178 computations (55.5% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 a (+.f64 (-.f64 t z) 1))
0.0b	(-.f64 x (*.f64 (-.f64 y z) (/.f64 a (+.f64 (-.f64 t z) 1))))
8.4b	(*.f64 (-.f64 y z) (/.f64 a (+.f64 (-.f64 t z) 1)))

rewrite44.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`*-un-lft-identity_binary64_17623`
31×	`times-frac_binary64_17629`
30×	`add-sqr-sqrt_binary64_17645`
23×	`add-cube-cbrt_binary64_17658`
21×	`associate-r_binary64_17563`
14×	`distribute-lft-out_binary64_17574`
10×	`add-cbrt-cube_binary64_17659` `add-exp-log_binary64_17661`
8×	`distribute-lft-out--_binary64_17575`
5×	`associate-/r_binary64_17567` `associate-l*_binary64_17564` `add-log-exp_binary64_17662` `pow1_binary64_17684`
4×	`associate-/r/_binary64_17569`
3×	`associate-/l*_binary64_17568` `flip3--_binary64_17627` `flip--_binary64_17598`
2×	`prod-exp_binary64_17672` `frac-times_binary64_17633` `unswap-sqr_binary64_17591` `div-inv_binary64_17620` `flip3-+_binary64_17626` `cbrt-undiv_binary64_17657` `cbrt-unprod_binary64_17656` `associate-*l/_binary64_17566` `flip-+_binary64_17597` `div-exp_binary64_17674`
1×	`-commutative_binary64_17554` `frac-2neg_binary64_17634` `diff-log_binary64_17715` `sub-neg_binary64_17616` `associate-r/_binary64_17565` `pow-prod-down_binary64_17694` `difference-of-squares_binary64_17592` `cancel-sign-sub-inv_binary64_17589` `clear-num_binary64_17622`

Counts

3 → 95

Calls

3 calls:

19.0ms	(*.f64 (-.f64 y z) (/.f64 a (+.f64 (-.f64 t z) 1)))
9.0ms	(/.f64 a (+.f64 (-.f64 t z) 1))
7.0ms	(-.f64 x (*.f64 (-.f64 y z) (/.f64 a (+.f64 (-.f64 t z) 1))))

series517.0ms (7.8%)

Counts

3 → 9

Calls

3 calls:

288.0ms	(-.f64 x (*.f64 (-.f64 y z) (/.f64 a (+.f64 (-.f64 t z) 1))))
153.0ms	(*.f64 (-.f64 y z) (/.f64 a (+.f64 (-.f64 t z) 1)))
76.0ms	(/.f64 a (+.f64 (-.f64 t z) 1))

simplify64.0ms (1%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5377	1867

prune92.0ms (1.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	104	3	107

Merged error: 0b

Counts

107 → 3

Compiler

Compiled 2109 to 943 computations (55.3% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 (-.f64 t z) 1) a)
0.0b	(/.f64 (+.f64 (-.f64 t z) 1) a)
4.6b	(/.f64 y (/.f64 (+.f64 (-.f64 t z) 1) a))
6.2b	(/.f64 z (/.f64 (+.f64 (-.f64 t z) 1) a))

rewrite82.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

296×	`*-un-lft-identity_binary64_17623`
264×	`times-frac_binary64_17629`
136×	`add-cube-cbrt_binary64_17658` `add-sqr-sqrt_binary64_17645`
64×	`distribute-lft-out_binary64_17574`
44×	`associate-/r*_binary64_17567`
32×	`distribute-lft-out--_binary64_17575`
18×	`add-cbrt-cube_binary64_17659` `add-exp-log_binary64_17661`
16×	`associate-/l*_binary64_17568`
12×	`div-inv_binary64_17620`
8×	`cbrt-undiv_binary64_17657` `div-exp_binary64_17674`
4×	`frac-2neg_binary64_17634` `associate-/l/_binary64_17570` `add-log-exp_binary64_17662` `pow1_binary64_17684` `clear-num_binary64_17622`
2×	`associate-/r/_binary64_17569` `flip3-+_binary64_17626` `div-sub_binary64_17628` `associate-+l-_binary64_17558` `flip-+_binary64_17597`

Counts

4 → 264

Calls

4 calls:

12.0ms	(/.f64 z (/.f64 (+.f64 (-.f64 t z) 1) a))
12.0ms	(/.f64 y (/.f64 (+.f64 (-.f64 t z) 1) a))
10.0ms	(/.f64 (+.f64 (-.f64 t z) 1) a)
9.0ms	(/.f64 (+.f64 (-.f64 t z) 1) a)

series580.0ms (8.7%)

Counts

4 → 12

Calls

4 calls:

273.0ms	(/.f64 y (/.f64 (+.f64 (-.f64 t z) 1) a))
212.0ms	(/.f64 z (/.f64 (+.f64 (-.f64 t z) 1) a))
49.0ms	(/.f64 (+.f64 (-.f64 t z) 1) a)
46.0ms	(/.f64 (+.f64 (-.f64 t z) 1) a)

simplify102.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

276 → 276

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5719	5948

prune344.0ms (5.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	276	0	276
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	276	3	279

Merged error: 0b

Counts

279 → 3

Compiler

Compiled 8126 to 3793 computations (53.3% saved)

regimes53.0ms (0.8%)

Compiler: Compiled 245 to 250 computations (-2% 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%)

sample762.0ms (11.4%)

Algorithm

1×

intervals

Results

351.0ms	7999×	body	128	valid
21.0ms	520×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 87 to 82 computations (5.7% saved)

Details

analyze1.1s (16.2%)

sample28.0ms (0.4%)

simplify330.0ms (4.9%)

prune2.0ms (0%)

localize14.0ms (0.2%)

rewrite112.0ms (1.7%)

series651.0ms (9.8%)

simplify122.0ms (1.8%)

prune736.0ms (11%)

localize12.0ms (0.2%)

rewrite45.0ms (0.7%)

series688.0ms (10.3%)

simplify67.0ms (1%)

prune112.0ms (1.7%)

localize10.0ms (0.1%)

rewrite44.0ms (0.7%)

series517.0ms (7.8%)

simplify64.0ms (1%)

prune92.0ms (1.4%)

localize11.0ms (0.2%)

rewrite82.0ms (1.2%)

series580.0ms (8.7%)

simplify102.0ms (1.5%)

prune344.0ms (5.2%)

regimes53.0ms (0.8%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample762.0ms (11.4%)

Profiling