Details

analyze581.0ms (14.9%)

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
23.4%	76.5%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
48.2%	43.9%	7.9%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
63.1%	22.8%	14.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample22.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	27×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify25.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	301	10
1	301	10

prune6.0ms (0.2%)

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)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite43.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`add-sqr-sqrt_binary64_15786` `cancel-sign-sub-inv_binary64_15730`
10×	`*-un-lft-identity_binary64_15764`
8×	`add-cube-cbrt_binary64_15799` `distribute-rgt-in_binary64_15714` `distribute-lft-in_binary64_15713` `associate-+r+_binary64_15696`
5×	`associate-r_binary64_15704`
4×	`pow1_binary64_15825` `add-exp-log_binary64_15802` `add-log-exp_binary64_15803` `add-cbrt-cube_binary64_15800` `sub-neg_binary64_15757`
3×	`associate-l_binary64_15705`
2×	`associate-*r/_binary64_15706`
1×	`pow-prod-down_binary64_15835` `prod-exp_binary64_15813` `cbrt-unprod_binary64_15797` `unswap-sqr_binary64_15732` `flip3--_binary64_15768` `flip--_binary64_15739` `difference-of-squares_binary64_15733` `distribute-lft-out--_binary64_15716` `*-commutative_binary64_15695` `sum-log_binary64_15855` `flip3-+_binary64_15767` `flip-+_binary64_15738` `+-commutative_binary64_15694`

Counts

2 → 49

Calls

2 calls:

7.0ms	(*.f64 y (-.f64 x z))
4.0ms	(+.f64 z (*.f64 y (-.f64 x z)))

Compiler

Compiled 682 to 192 computations (71.8% saved)

series282.0ms (7.2%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

156.0ms	(+.f64 z (*.f64 y (-.f64 x z)))
110.0ms	(*.f64 y (-.f64 x z))

Compiler

Compiled 618 to 363 computations (41.3% saved)

simplify103.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4909	764
1	4909	764

prune59.0ms (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)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite70.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`add-sqr-sqrt_binary64_15786`
12×	`cancel-sign-sub-inv_binary64_15730`
11×	`*-un-lft-identity_binary64_15764`
8×	`add-cube-cbrt_binary64_15799` `distribute-rgt-in_binary64_15714` `associate-+r+_binary64_15696` `distribute-lft-in_binary64_15713`
6×	`associate-r_binary64_15704`
4×	`add-log-exp_binary64_15803` `pow1_binary64_15825` `add-exp-log_binary64_15802` `add-cbrt-cube_binary64_15800` `sub-neg_binary64_15757`
3×	`associate-l_binary64_15705`
2×	`associate-*r/_binary64_15706` `difference-of-squares_binary64_15733`
1×	`sum-log_binary64_15855` `flip3-+_binary64_15767` `flip-+_binary64_15738` `+-commutative_binary64_15694` `pow-prod-down_binary64_15835` `prod-exp_binary64_15813` `cbrt-unprod_binary64_15797` `unswap-sqr_binary64_15732` `flip3--_binary64_15768` `flip--_binary64_15739` `distribute-lft-out--_binary64_15716` `*-commutative_binary64_15695`

Counts

2 → 50

Calls

2 calls:

13.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))
10.0ms	(*.f64 z (-.f64 1 y))

Compiler

Compiled 815 to 409 computations (49.8% saved)

series207.0ms (5.3%)

Error

Counts

2 → 27

Calls

2 calls:

126.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))
70.0ms	(*.f64 z (-.f64 1 y))

Compiler

Compiled 529 to 324 computations (38.8% saved)

simplify93.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5326	712

prune53.0ms (1.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	77	3	80

Error

Counts

80 → 3

Compiler

Compiled 864 to 236 computations (72.7% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 z (/.f64 (.f64 y (-.f64 (.f64 x x) (*.f64 z z))) (+.f64 x z)))
2.3b	(-.f64 (.f64 x x) (.f64 z z))
10.3b	(.f64 y (-.f64 (.f64 x x) (*.f64 z z)))
16.9b	(/.f64 (.f64 y (-.f64 (.f64 x x) (*.f64 z z))) (+.f64 x z))

rewrite118.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`*-un-lft-identity_binary64_15764`
11×	`add-exp-log_binary64_15802` `add-cbrt-cube_binary64_15800`
10×	`add-sqr-sqrt_binary64_15786`
8×	`add-log-exp_binary64_15803` `add-cube-cbrt_binary64_15799`
6×	`pow1_binary64_15825`
4×	`times-frac_binary64_15770` `associate-r/_binary64_15706` `associate-/r_binary64_15708` `associate-r_binary64_15704`
3×	`distribute-lft-out_binary64_15715` `flip3--_binary64_15768` `flip--_binary64_15739` `sub-neg_binary64_15757` `cancel-sign-sub-inv_binary64_15730` `associate-l_binary64_15705`
2×	`prod-exp_binary64_15813` `div-exp_binary64_15815` `cbrt-undiv_binary64_15798` `cbrt-unprod_binary64_15797` `associate-/l/_binary64_15711` `flip3-+_binary64_15767` `associate-/r/_binary64_15710` `flip-+_binary64_15738` `distribute-rgt-in_binary64_15714` `distribute-lft-in_binary64_15713` `difference-of-squares_binary64_15733`
1×	`frac-2neg_binary64_15775` `clear-num_binary64_15763` `div-inv_binary64_15761` `associate-/l_binary64_15709` `pow-prod-down_binary64_15835` `unswap-sqr_binary64_15732` `-commutative_binary64_15695` `diff-log_binary64_15856` `sum-log_binary64_15855` `+-commutative_binary64_15694`

Counts

4 → 77

Calls

4 calls:

13.0ms	(+.f64 z (/.f64 (.f64 y (-.f64 (.f64 x x) (*.f64 z z))) (+.f64 x z)))
10.0ms	(/.f64 (.f64 y (-.f64 (.f64 x x) (*.f64 z z))) (+.f64 x z))
7.0ms	(.f64 y (-.f64 (.f64 x x) (*.f64 z z)))
6.0ms	(-.f64 (.f64 x x) (.f64 z z))

Compiler

Compiled 1910 to 352 computations (81.6% saved)

series1.1s (27.4%)

Error

Counts

4 → 60

Calls

4 calls:

439.0ms	(+.f64 z (/.f64 (.f64 y (-.f64 (.f64 x x) (*.f64 z z))) (+.f64 x z)))
286.0ms	(/.f64 (.f64 y (-.f64 (.f64 x x) (*.f64 z z))) (+.f64 x z))
214.0ms	(.f64 y (-.f64 (.f64 x x) (*.f64 z z)))
93.0ms	(-.f64 (.f64 x x) (.f64 z z))

Compiler

Compiled 1845 to 1211 computations (34.4% saved)

simplify77.0ms (2%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4988	1669
1	4988	1669

prune103.0ms (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 339 computations (83.1% saved)

regimes99.0ms (2.5%)

Accuracy

Total 0.0b remaining (66%)

Threshold costs 0.0b (66%)

Compiler

Compiled 408 to 382 computations (6.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample858.0ms (22%)

Algorithm

1×

intervals

Results

288.0ms	8000×	body	128	valid
24.0ms	709×	body	128	invalid

Compiler

Compiled 120 to 111 computations (7.5% saved)

Details

analyze581.0ms (14.9%)

sample22.0ms (0.6%)

simplify25.0ms (0.6%)

prune6.0ms (0.2%)

localize6.0ms (0.2%)

rewrite43.0ms (1.1%)

series282.0ms (7.2%)

simplify103.0ms (2.6%)

prune59.0ms (1.5%)

localize11.0ms (0.3%)

rewrite70.0ms (1.8%)

series207.0ms (5.3%)

simplify93.0ms (2.4%)

prune53.0ms (1.4%)

localize9.0ms (0.2%)

rewrite118.0ms (3%)

series1.1s (27.4%)

simplify77.0ms (2%)

prune103.0ms (2.6%)

regimes99.0ms (2.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample858.0ms (22%)

Profiling