Details

analyze847.0ms (19.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5065	133
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
9.4%	90.4%	0.2%	8
9.4%	90.4%	0.2%	9
10.9%	88.9%	0.2%	10
25.9%	73.9%	0.2%	11
47.1%	52.7%	0.2%	12
55.3%	44.5%	0.2%	13
59.2%	40.6%	0.2%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample22.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms

256×

body

128

valid

Compiler

Compiled 35 to 33 computations (5.7% saved)

simplify61.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5059	19

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

1.3b

Counts

2 → 2

Compiler

Compiled 43 to 36 computations (16.3% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))
0.0b	(-.f64 x (/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))))
5.9b	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
6.3b	(/.f64 (.f64 y t) (.f64 2 z))

rewrite45.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`add-sqr-sqrt_binary64_15104`
42×	`*-un-lft-identity_binary64_15082`
33×	`times-frac_binary64_15088`
26×	`cancel-sign-sub-inv_binary64_15048`
24×	`add-cube-cbrt_binary64_15117`
18×	`add-cbrt-cube_binary64_15118` `add-exp-log_binary64_15120`
10×	`difference-of-squares_binary64_15051`
9×	`distribute-lft-out--_binary64_15034`
8×	`add-log-exp_binary64_15121`
6×	`associate-/r*_binary64_15026`
5×	`div-exp_binary64_15133` `cbrt-undiv_binary64_15116`
4×	`prod-exp_binary64_15131` `flip3--_binary64_15086` `cbrt-unprod_binary64_15115` `pow1_binary64_15143` `div-inv_binary64_15079` `flip--_binary64_15057` `associate-/r/_binary64_15028` `associate-/l*_binary64_15027`
2×	`frac-2neg_binary64_15093` `clear-num_binary64_15081` `sub-neg_binary64_15075` `diff-log_binary64_15174`

Counts

4 → 111

Calls

4 calls:

17.0ms	(-.f64 x (/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))))
7.0ms	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
6.0ms	(/.f64 (.f64 y t) (.f64 2 z))
5.0ms	(-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))

series255.0ms (5.8%)

Counts

4 → 12

Calls

4 calls:

119.0ms	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
78.0ms	(-.f64 x (/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))))
33.0ms	(-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))
24.0ms	(/.f64 (.f64 y t) (.f64 2 z))

simplify73.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5078	2660

prune123.0ms (2.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	118	5	123
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	119	6	125

Error

0.4b

Counts

125 → 6

Compiler

Compiled 2539 to 1288 computations (49.3% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (/.f64 y (-.f64 z (/.f64 y (/.f64 2 (/.f64 t z))))))
0.9b	(/.f64 2 (/.f64 t z))
5.7b	(/.f64 y (/.f64 2 (/.f64 t z)))
5.9b	(/.f64 y (-.f64 z (/.f64 y (/.f64 2 (/.f64 t z)))))

rewrite167.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Rules

562×	`times-frac_binary64_15088`
359×	`add-sqr-sqrt_binary64_15104`
272×	`*-un-lft-identity_binary64_15082`
256×	`add-cube-cbrt_binary64_15117`
65×	`associate-/r*_binary64_15026`
30×	`cancel-sign-sub-inv_binary64_15048` `difference-of-squares_binary64_15051`
24×	`div-inv_binary64_15079`
20×	`add-cbrt-cube_binary64_15118` `add-exp-log_binary64_15120`
10×	`div-exp_binary64_15133` `cbrt-undiv_binary64_15116` `associate-/r/_binary64_15028`
9×	`associate-/l*_binary64_15027`
8×	`distribute-lft-out--_binary64_15034`
6×	`add-log-exp_binary64_15121`
4×	`pow1_binary64_15143`
3×	`frac-2neg_binary64_15093` `flip3--_binary64_15086` `clear-num_binary64_15081` `flip--_binary64_15057`
1×	`sub-neg_binary64_15075` `diff-log_binary64_15174`

Counts

4 → 359

Calls

4 calls:

57.0ms	(-.f64 x (/.f64 y (-.f64 z (/.f64 y (/.f64 2 (/.f64 t z))))))
47.0ms	(/.f64 y (-.f64 z (/.f64 y (/.f64 2 (/.f64 t z)))))
12.0ms	(/.f64 y (/.f64 2 (/.f64 t z)))
6.0ms	(/.f64 2 (/.f64 t z))

series241.0ms (5.5%)

Counts

4 → 12

Calls

4 calls:

126.0ms	(/.f64 y (-.f64 z (/.f64 y (/.f64 2 (/.f64 t z)))))
78.0ms	(-.f64 x (/.f64 y (-.f64 z (/.f64 y (/.f64 2 (/.f64 t z))))))
23.0ms	(/.f64 y (/.f64 2 (/.f64 t z)))
13.0ms	(/.f64 2 (/.f64 t z))

simplify122.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

371 → 371

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5089	9168

prune408.0ms (9.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	371	0	371
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	371	6	377

Error

0.4b

Counts

377 → 6

Compiler

Compiled 8811 to 4039 computations (54.2% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 z (.f64 (.f64 y t) (/.f64 1/2 z)))
0.0b	(-.f64 x (/.f64 y (-.f64 z (.f64 (.f64 y t) (/.f64 1/2 z)))))
5.9b	(/.f64 y (-.f64 z (.f64 (.f64 y t) (/.f64 1/2 z))))
6.1b	(.f64 (.f64 y t) (/.f64 1/2 z))

rewrite34.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64_15104`
28×	`times-frac_binary64_15088` `*-un-lft-identity_binary64_15082`
26×	`add-cube-cbrt_binary64_15117`
18×	`add-cbrt-cube_binary64_15118` `add-exp-log_binary64_15120`
16×	`cancel-sign-sub-inv_binary64_15048`
13×	`associate-r_binary64_15022`
9×	`pow1_binary64_15143`
8×	`add-log-exp_binary64_15121`
6×	`prod-exp_binary64_15131` `cbrt-unprod_binary64_15115`
4×	`flip3--_binary64_15086` `flip--_binary64_15057` `associate-/r/_binary64_15028`
3×	`pow-prod-down_binary64_15153` `div-exp_binary64_15133` `cbrt-undiv_binary64_15116` `div-inv_binary64_15079` `associate-/r_binary64_15026` `associate-/l_binary64_15027`
2×	`difference-of-squares_binary64_15051` `sub-neg_binary64_15075` `diff-log_binary64_15174`
1×	`frac-2neg_binary64_15093` `distribute-lft-out--_binary64_15034` `clear-num_binary64_15081` `associate-l_binary64_15023` `-commutative_binary64_15013` `associate-r/_binary64_15024`

Counts

4 → 103

Calls

4 calls:

10.0ms	(-.f64 x (/.f64 y (-.f64 z (.f64 (.f64 y t) (/.f64 1/2 z)))))
8.0ms	(.f64 (.f64 y t) (/.f64 1/2 z))
5.0ms	(/.f64 y (-.f64 z (.f64 (.f64 y t) (/.f64 1/2 z))))
3.0ms	(-.f64 z (.f64 (.f64 y t) (/.f64 1/2 z)))

series259.0ms (5.9%)

Counts

4 → 12

Calls

4 calls:

128.0ms	(/.f64 y (-.f64 z (.f64 (.f64 y t) (/.f64 1/2 z))))
73.0ms	(-.f64 x (/.f64 y (-.f64 z (.f64 (.f64 y t) (/.f64 1/2 z)))))
35.0ms	(-.f64 z (.f64 (.f64 y t) (/.f64 1/2 z)))
23.0ms	(.f64 (.f64 y t) (/.f64 1/2 z))

simplify69.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5046	2257

prune103.0ms (2.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	115	6	121

Error

0.4b

Counts

121 → 6

Compiler

Compiled 2301 to 1183 computations (48.6% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

5.9b	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
6.3b	(/.f64 (.f64 y t) (.f64 2 z))
6.3b	(/.f64 (.f64 y t) (.f64 2 z))
6.3b	(/.f64 (.f64 y t) (.f64 2 z))

rewrite38.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`add-cbrt-cube_binary64_15118` `add-exp-log_binary64_15120`
22×	`*-un-lft-identity_binary64_15082` `add-sqr-sqrt_binary64_15104`
18×	`times-frac_binary64_15088`
14×	`add-cube-cbrt_binary64_15117`
13×	`div-exp_binary64_15133` `cbrt-undiv_binary64_15116`
12×	`prod-exp_binary64_15131` `cbrt-unprod_binary64_15115`
8×	`associate-/r*_binary64_15026`
6×	`associate-/l*_binary64_15027`
4×	`frac-2neg_binary64_15093` `distribute-lft-out--_binary64_15034` `clear-num_binary64_15081` `difference-of-squares_binary64_15051` `pow1_binary64_15143` `add-log-exp_binary64_15121` `div-inv_binary64_15079`
2×	`associate-/r/_binary64_15028`
1×	`flip3--_binary64_15086` `flip--_binary64_15057`

Counts

4 → 100

Calls

4 calls:

7.0ms	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
6.0ms	(/.f64 (.f64 y t) (.f64 2 z))
6.0ms	(/.f64 (.f64 y t) (.f64 2 z))
6.0ms	(/.f64 (.f64 y t) (.f64 2 z))

series190.0ms (4.3%)

Counts

4 → 12

Calls

4 calls:

117.0ms	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
27.0ms	(/.f64 (.f64 y t) (.f64 2 z))
23.0ms	(/.f64 (.f64 y t) (.f64 2 z))
22.0ms	(/.f64 (.f64 y t) (.f64 2 z))

simplify61.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5009	1790

prune212.0ms (4.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	112	6	118

Error

0.4b

Counts

118 → 6

Compiler

Compiled 5473 to 2889 computations (47.2% saved)

regimes184.0ms (4.2%)

Accuracy

Total 0.6b remaining (51.3%)

Threshold costs 0.6b (51.3%)

Compiler

Compiled 1599 to 1330 computations (16.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	19
1	38	19

end0.0ms (0%)

sample851.0ms (19.3%)

Algorithm

1×

intervals

Results

361.0ms

8000×

body

128

valid

Compiler

Compiled 290 to 241 computations (16.9% saved)

Details

analyze847.0ms (19.2%)

sample22.0ms (0.5%)

simplify61.0ms (1.4%)

prune5.0ms (0.1%)

localize9.0ms (0.2%)

rewrite45.0ms (1%)

series255.0ms (5.8%)

simplify73.0ms (1.6%)

prune123.0ms (2.8%)

localize10.0ms (0.2%)

rewrite167.0ms (3.8%)

series241.0ms (5.5%)

simplify122.0ms (2.8%)

prune408.0ms (9.3%)

localize10.0ms (0.2%)

rewrite34.0ms (0.8%)

series259.0ms (5.9%)

simplify69.0ms (1.6%)

prune103.0ms (2.3%)

localize14.0ms (0.3%)

rewrite38.0ms (0.9%)

series190.0ms (4.3%)

simplify61.0ms (1.4%)

prune212.0ms (4.8%)

regimes184.0ms (4.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample851.0ms (19.3%)

Profiling