Details

analyze2.2s (14.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5196	91
0	4	4
1	4	4

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
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
12.5%	85.6%	1.9%	11
19.8%	76.5%	3.7%	12
26.1%	64.4%	9.6%	13
31.7%	54.5%	13.7%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample46.0ms (0.3%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
5.0ms	93×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify251.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (233.0ms)

Iter	Nodes	Cost
0	1582	13
1	1582	13

prune4.0ms (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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite903.0ms (6.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-sqr-sqrt_binary64_21924`
12×	`*-un-lft-identity_binary64_21902` `cancel-sign-sub-inv_binary64_21868`
8×	`add-cube-cbrt_binary64_21937` `distribute-rgt-in_binary64_21852` `distribute-lft-in_binary64_21851` `associate-+r+_binary64_21834`
6×	`flip3--_binary64_21906` `flip--_binary64_21877`
5×	`associate-l_binary64_21843` `associate-r_binary64_21842`
4×	`pow1_binary64_21963` `add-exp-log_binary64_21940` `add-log-exp_binary64_21941` `add-cbrt-cube_binary64_21938` `frac-times_binary64_21912` `sub-neg_binary64_21895`
2×	`associate-l/_binary64_21845` `associate-r/_binary64_21844` `difference-of-squares_binary64_21871` `distribute-lft-out--_binary64_21854`
1×	`pow-prod-down_binary64_21973` `prod-exp_binary64_21951` `cbrt-unprod_binary64_21935` `unswap-sqr_binary64_21870` `*-commutative_binary64_21833` `sum-log_binary64_21993` `flip3-+_binary64_21905` `flip-+_binary64_21876` `+-commutative_binary64_21832`

Counts

2 → 57

Calls

2 calls:

19.0ms	(*.f64 (-.f64 y z) (-.f64 t x))
9.0ms	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))

Compiler

Compiled 1056 to 258 computations (75.6% saved)

series915.0ms (6.2%)

Error

0.0b

Counts

2 → 48

Calls

2 calls:

508.0ms	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
349.0ms	(*.f64 (-.f64 y z) (-.f64 t x))

Compiler

Compiled 1588 to 833 computations (47.5% saved)

simplify134.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	5123	1382

prune138.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	101	4	105
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	101	5	106

Error

0.0b

Counts

106 → 5

Compiler

Compiled 1407 to 287 computations (79.6% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite227.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`add-sqr-sqrt_binary64_21924` `cancel-sign-sub-inv_binary64_21868`
22×	`*-un-lft-identity_binary64_21902`
16×	`add-cube-cbrt_binary64_21937` `distribute-rgt-in_binary64_21852` `distribute-lft-in_binary64_21851`
12×	`associate-*r/_binary64_21844`
11×	`add-log-exp_binary64_21941`
10×	`associate-r_binary64_21842`
9×	`associate-+r+_binary64_21834`
8×	`pow1_binary64_21963` `add-exp-log_binary64_21940` `add-cbrt-cube_binary64_21938` `sub-neg_binary64_21895` `associate-+l+_binary64_21835`
6×	`flip3--_binary64_21906` `flip--_binary64_21877` `associate-l_binary64_21843`
4×	`sum-log_binary64_21993` `frac-add_binary64_21910`
2×	`flip3-+_binary64_21905` `flip-+_binary64_21876` `+-commutative_binary64_21832` `pow-prod-down_binary64_21973` `prod-exp_binary64_21951` `cbrt-unprod_binary64_21935` `unswap-sqr_binary64_21870` `difference-of-squares_binary64_21871` `distribute-lft-out--_binary64_21854` `*-commutative_binary64_21833`
1×	`distribute-lft-out_binary64_21853`

Counts

4 → 105

Calls

4 calls:

21.0ms	(*.f64 x (-.f64 z y))
20.0ms	(+.f64 (.f64 t (-.f64 y z)) (.f64 x (-.f64 z y)))
15.0ms	(+.f64 x (+.f64 (.f64 t (-.f64 y z)) (.f64 x (-.f64 z y))))
14.0ms	(*.f64 t (-.f64 y z))

Compiler

Compiled 2309 to 524 computations (77.3% saved)

series1.4s (9.6%)

Error

0.0b

Counts

4 → 78

Calls

4 calls:

510.0ms	(+.f64 x (+.f64 (.f64 t (-.f64 y z)) (.f64 x (-.f64 z y))))
502.0ms	(+.f64 (.f64 t (-.f64 y z)) (.f64 x (-.f64 z y)))
174.0ms	(*.f64 t (-.f64 y z))
160.0ms	(*.f64 x (-.f64 z y))

Compiler

Compiled 2658 to 1375 computations (48.3% saved)

simplify146.0ms (1%)

Algorithm

1×	egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	5147	2477

prune221.0ms (1.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	182	1	183
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	185	3	188

Error

0.0b

Counts

188 → 3

Compiler

Compiled 2945 to 571 computations (80.6% saved)

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite240.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`cancel-sign-sub-inv_binary64_21868`
23×	`add-sqr-sqrt_binary64_21924`
22×	`*-un-lft-identity_binary64_21902`
18×	`distribute-rgt-in_binary64_21852` `distribute-lft-in_binary64_21851`
15×	`add-cube-cbrt_binary64_21937`
12×	`associate-*r/_binary64_21844`
11×	`associate-r_binary64_21842`
10×	`associate-+r+_binary64_21834`
8×	`sub-neg_binary64_21895` `associate-+l+_binary64_21835`
7×	`pow1_binary64_21963` `add-exp-log_binary64_21940` `add-cbrt-cube_binary64_21938`
6×	`flip3--_binary64_21906` `flip--_binary64_21877` `associate-l_binary64_21843`
5×	`add-log-exp_binary64_21941`
4×	`frac-add_binary64_21910` `associate--l+_binary64_21839`
3×	`distribute-lft-out--_binary64_21854`
2×	`pow-prod-down_binary64_21973` `prod-exp_binary64_21951` `cbrt-unprod_binary64_21935` `unswap-sqr_binary64_21870` `difference-of-squares_binary64_21871` `*-commutative_binary64_21833`
1×	`sum-log_binary64_21993` `flip3-+_binary64_21905` `flip-+_binary64_21876` `+-commutative_binary64_21832` `distribute-lft-out_binary64_21853`

Counts

3 → 96

Calls

3 calls:

30.0ms	(+.f64 (.f64 t (-.f64 y z)) (.f64 x (-.f64 (+.f64 z 1) y)))
20.0ms	(*.f64 x (-.f64 (+.f64 z 1) y))
14.0ms	(*.f64 t (-.f64 y z))

Compiler

Compiled 2125 to 931 computations (56.2% saved)

series945.0ms (6.4%)

Error

0.0b

Counts

3 → 54

Calls

3 calls:

495.0ms	(+.f64 (.f64 t (-.f64 y z)) (.f64 x (-.f64 (+.f64 z 1) y)))
201.0ms	(*.f64 x (-.f64 (+.f64 z 1) y))
190.0ms	(*.f64 t (-.f64 y z))

Compiler

Compiled 1826 to 1071 computations (41.3% saved)

simplify175.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (126.0ms)

Iter	Nodes	Cost
0	5005	2179

prune182.0ms (1.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	150	3	153

Error

0.0b

Counts

153 → 3

Compiler

Compiled 2534 to 698 computations (72.5% saved)

localize40.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.6b	(-.f64 (.f64 t t) (.f64 x x))
2.4b	(-.f64 (.f64 y y) (.f64 z z))
10.0b	(.f64 (-.f64 (.f64 t t) (.f64 x x)) (-.f64 (.f64 y y) (*.f64 z z)))
31.9b	(/.f64 (.f64 (-.f64 (.f64 t t) (.f64 x x)) (-.f64 (.f64 y y) (.f64 z z))) (.f64 (+.f64 t x) (+.f64 z y)))

rewrite253.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`add-exp-log_binary64_21940` `add-cbrt-cube_binary64_21938`
14×	`flip3--_binary64_21906` `flip--_binary64_21877`
12×	`frac-times_binary64_21912`
8×	`add-log-exp_binary64_21941` `add-sqr-sqrt_binary64_21924` `associate-/l/_binary64_21849` `associate-/r/_binary64_21848`
6×	`pow1_binary64_21963` `add-cube-cbrt_binary64_21937` `-un-lft-identity_binary64_21902` `associate-l/_binary64_21845` `associate-*r/_binary64_21844` `flip3-+_binary64_21905` `flip-+_binary64_21876`
5×	`prod-exp_binary64_21951` `cbrt-unprod_binary64_21935`
4×	`div-exp_binary64_21953` `cbrt-undiv_binary64_21936` `sub-neg_binary64_21895` `cancel-sign-sub-inv_binary64_21868` `associate-l_binary64_21843` `difference-of-squares_binary64_21871` `associate-r_binary64_21842`
2×	`distribute-rgt-in_binary64_21852` `distribute-lft-in_binary64_21851` `diff-log_binary64_21994`
1×	`frac-2neg_binary64_21913` `times-frac_binary64_21908` `clear-num_binary64_21901` `div-inv_binary64_21899` `associate-/l_binary64_21847` `associate-/r_binary64_21846` `pow-prod-down_binary64_21973` `unswap-sqr_binary64_21870` `*-commutative_binary64_21833`

Counts

4 → 95

Calls

4 calls:

34.0ms	(/.f64 (.f64 (-.f64 (.f64 t t) (.f64 x x)) (-.f64 (.f64 y y) (.f64 z z))) (.f64 (+.f64 t x) (+.f64 z y)))
21.0ms	(.f64 (-.f64 (.f64 t t) (.f64 x x)) (-.f64 (.f64 y y) (*.f64 z z)))
7.0ms	(-.f64 (.f64 y y) (.f64 z z))
7.0ms	(-.f64 (.f64 t t) (.f64 x x))

Compiler

Compiled 3855 to 555 computations (85.6% saved)

series2.7s (18.1%)

Error

0.0b

Counts

4 → 72

Calls

4 calls:

1.3s	(/.f64 (.f64 (-.f64 (.f64 t t) (.f64 x x)) (-.f64 (.f64 y y) (.f64 z z))) (.f64 (+.f64 t x) (+.f64 z y)))
820.0ms	(.f64 (-.f64 (.f64 t t) (.f64 x x)) (-.f64 (.f64 y y) (*.f64 z z)))
193.0ms	(-.f64 (.f64 t t) (.f64 x x))
188.0ms	(-.f64 (.f64 y y) (.f64 z z))

Compiler

Compiled 6860 to 4303 computations (37.3% saved)

simplify162.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5055	4833

prune257.0ms (1.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	167	0	167
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	167	3	170

Error

0.0b

Counts

170 → 3

Compiler

Compiled 5496 to 881 computations (84% saved)

regimes788.0ms (5.3%)

Accuracy

Total 0.0b remaining (88.2%)

Threshold costs 0.0b (88.2%)

Compiler

Compiled 3983 to 2836 computations (28.8% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	34	19
1	34	19

end0.0ms (0%)

sample2.4s (16.3%)

Algorithm

1×

intervals

Results

450.0ms	8000×	body	128	valid
151.0ms	2630×	body	128	invalid

Compiler

Compiled 657 to 473 computations (28% saved)

Details

analyze2.2s (14.9%)

sample46.0ms (0.3%)

simplify251.0ms (1.7%)

prune4.0ms (0%)

localize13.0ms (0.1%)

rewrite903.0ms (6.1%)

series915.0ms (6.2%)

simplify134.0ms (0.9%)

prune138.0ms (0.9%)

localize20.0ms (0.1%)

rewrite227.0ms (1.5%)

series1.4s (9.6%)

simplify146.0ms (1%)

prune221.0ms (1.5%)

localize20.0ms (0.1%)

rewrite240.0ms (1.6%)

series945.0ms (6.4%)

simplify175.0ms (1.2%)

prune182.0ms (1.2%)

localize40.0ms (0.3%)

rewrite253.0ms (1.7%)

series2.7s (18.1%)

simplify162.0ms (1.1%)

prune257.0ms (1.7%)

regimes788.0ms (5.3%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample2.4s (16.3%)

Profiling