Details

analyze757.0ms (13.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	779	40
1	779	40
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample31.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
1.0ms	21×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify39.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	301	10
1	301	10

prune5.0ms (0.1%)

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 → 2

Compiler

Compiled 23 to 20 computations (13% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite78.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`add-sqr-sqrt_binary64_8284` `cancel-sign-sub-inv_binary64_8228`
10×	`*-un-lft-identity_binary64_8262`
8×	`add-cube-cbrt_binary64_8297` `distribute-rgt-in_binary64_8212` `distribute-lft-in_binary64_8211` `associate-+r+_binary64_8194`
5×	`associate-r_binary64_8202`
4×	`pow1_binary64_8323` `add-exp-log_binary64_8300` `add-log-exp_binary64_8301` `add-cbrt-cube_binary64_8298` `sub-neg_binary64_8255`
3×	`associate-l_binary64_8203`
2×	`associate-*r/_binary64_8204`
1×	`pow-prod-down_binary64_8333` `prod-exp_binary64_8311` `cbrt-unprod_binary64_8295` `unswap-sqr_binary64_8230` `flip3--_binary64_8266` `flip--_binary64_8237` `difference-of-squares_binary64_8231` `distribute-lft-out--_binary64_8214` `*-commutative_binary64_8193` `sum-log_binary64_8353` `flip3-+_binary64_8265` `flip-+_binary64_8236` `+-commutative_binary64_8192`

Counts

2 → 49

Calls

2 calls:

12.0ms	(*.f64 x (-.f64 y z))
7.0ms	(+.f64 z (*.f64 x (-.f64 y z)))

Compiler

Compiled 682 to 192 computations (71.8% saved)

series379.0ms (6.6%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

187.0ms	(+.f64 z (*.f64 x (-.f64 y z)))
160.0ms	(*.f64 x (-.f64 y z))

Compiler

Compiled 618 to 364 computations (41.1% saved)

simplify113.0ms (2%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	5339	764

prune83.0ms (1.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	81	3	84

Error

Counts

84 → 3

Compiler

Compiled 828 to 175 computations (78.9% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite72.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-sqr-sqrt_binary64_8284`
7×	`*-un-lft-identity_binary64_8262`
6×	`associate-l_binary64_8203`
4×	`pow1_binary64_8323` `add-exp-log_binary64_8300` `add-log-exp_binary64_8301` `add-cbrt-cube_binary64_8298` `add-cube-cbrt_binary64_8297`
3×	`associate-r_binary64_8202`
2×	`associate-*l/_binary64_8205` `difference-of-squares_binary64_8231`
1×	`pow-prod-down_binary64_8333` `prod-exp_binary64_8311` `cbrt-unprod_binary64_8295` `unswap-sqr_binary64_8230` `flip3--_binary64_8266` `flip--_binary64_8237` `distribute-lft-out--_binary64_8214` `*-commutative_binary64_8193` `sum-log_binary64_8353` `flip3-+_binary64_8265` `flip-+_binary64_8236` `+-commutative_binary64_8192`

Counts

2 → 34

Calls

2 calls:

15.0ms	(*.f64 (-.f64 1 x) z)
7.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))

Compiler

Compiled 571 to 316 computations (44.7% saved)

series341.0ms (6%)

Error

Counts

2 → 27

Calls

2 calls:

217.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
101.0ms	(*.f64 (-.f64 1 x) z)

Compiler

Compiled 529 to 326 computations (38.4% saved)

simplify119.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	5458	610

prune62.0ms (1.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	61	3	64

Error

Counts

64 → 3

Compiler

Compiled 682 to 205 computations (69.9% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 z (/.f64 (.f64 x (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z)))
2.4b	(-.f64 (.f64 y y) (.f64 z z))
9.6b	(.f64 x (-.f64 (.f64 y y) (*.f64 z z)))
22.5b	(/.f64 (.f64 x (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z))

rewrite167.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`*-un-lft-identity_binary64_8262`
11×	`add-exp-log_binary64_8300` `add-cbrt-cube_binary64_8298`
10×	`add-sqr-sqrt_binary64_8284`
8×	`add-log-exp_binary64_8301` `add-cube-cbrt_binary64_8297`
6×	`pow1_binary64_8323`
4×	`times-frac_binary64_8268` `associate-r/_binary64_8204` `associate-/r_binary64_8206` `associate-r_binary64_8202`
3×	`distribute-lft-out_binary64_8213` `flip3--_binary64_8266` `flip--_binary64_8237` `sub-neg_binary64_8255` `cancel-sign-sub-inv_binary64_8228` `associate-l_binary64_8203`
2×	`prod-exp_binary64_8311` `div-exp_binary64_8313` `cbrt-undiv_binary64_8296` `cbrt-unprod_binary64_8295` `associate-/l/_binary64_8209` `flip3-+_binary64_8265` `associate-/r/_binary64_8208` `flip-+_binary64_8236` `distribute-rgt-in_binary64_8212` `distribute-lft-in_binary64_8211` `difference-of-squares_binary64_8231`
1×	`frac-2neg_binary64_8273` `clear-num_binary64_8261` `div-inv_binary64_8259` `associate-/l_binary64_8207` `pow-prod-down_binary64_8333` `unswap-sqr_binary64_8230` `-commutative_binary64_8193` `diff-log_binary64_8354` `sum-log_binary64_8353` `+-commutative_binary64_8192`

Counts

4 → 77

Calls

4 calls:

17.0ms	(/.f64 (.f64 x (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z))
12.0ms	(+.f64 z (/.f64 (.f64 x (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z)))
12.0ms	(.f64 x (-.f64 (.f64 y y) (*.f64 z z)))
7.0ms	(-.f64 (.f64 y y) (.f64 z z))

Compiler

Compiled 1910 to 352 computations (81.6% saved)

series1.6s (28.5%)

Error

Counts

4 → 60

Calls

4 calls:

632.0ms	(+.f64 z (/.f64 (.f64 x (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z)))
431.0ms	(/.f64 (.f64 x (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z))
316.0ms	(.f64 x (-.f64 (.f64 y y) (*.f64 z z)))
181.0ms	(-.f64 (.f64 y y) (.f64 z z))

Compiler

Compiled 1845 to 1213 computations (34.3% saved)

simplify151.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	5004	1669

prune149.0ms (2.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	137	3	140

Error

Counts

140 → 3

Compiler

Compiled 2000 to 336 computations (83.2% saved)

regimes174.0ms (3%)

Accuracy

Total 0.0b remaining (77%)

Threshold costs 0.0b (77%)

Compiler

Compiled 476 to 414 computations (13% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample1.3s (23%)

Algorithm

1×

intervals

Results

438.0ms	8000×	body	128	valid
33.0ms	649×	body	128	invalid

Compiler

Compiled 130 to 113 computations (13.1% saved)

Details

analyze757.0ms (13.3%)

sample31.0ms (0.5%)

simplify39.0ms (0.7%)

prune5.0ms (0.1%)

localize10.0ms (0.2%)

rewrite78.0ms (1.4%)

series379.0ms (6.6%)

simplify113.0ms (2%)

prune83.0ms (1.5%)

localize12.0ms (0.2%)

rewrite72.0ms (1.3%)

series341.0ms (6%)

simplify119.0ms (2.1%)

prune62.0ms (1.1%)

localize21.0ms (0.4%)

rewrite167.0ms (2.9%)

series1.6s (28.5%)

simplify151.0ms (2.6%)

prune149.0ms (2.6%)

regimes174.0ms (3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.3s (23%)

Profiling