Details

analyze1.7s (18.9%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4968	91
1	4968	91
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	8
16.4%	83.4%	0.2%	9
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
21.4%	78.4%	0.2%	10
25.9%	73.3%	0.8%	11
25.9%	73.3%	0.8%	11
28%	70.2%	1.9%	12
28%	70.2%	1.9%	12
39.6%	55.8%	4.6%	13
39.6%	55.8%	4.6%	13
43.9%	50.4%	5.8%	14
43.9%	50.4%	5.8%	14

Compiler

Compiled 20 to 18 computations (10% saved)

sample953.0ms (10.9%)

Algorithm

2×

intervals

Results

16.0ms	512×	body	128	valid
8.0ms	166×	body	128	invalid

Compiler

Compiled 3569 to 4636 computations (-29.9% saved)

simplify53.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	734	13
1	734	13

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

Error

7.2b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
0.0b	(*.f64 y (-.f64 z x))
7.5b	(/.f64 (*.f64 y (-.f64 z x)) t)

rewrite90.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`add-sqr-sqrt_binary64_10330` `*-un-lft-identity_binary64_10308`
10×	`add-exp-log_binary64_10346` `add-cbrt-cube_binary64_10344`
9×	`add-cube-cbrt_binary64_10343`
6×	`cancel-sign-sub-inv_binary64_10274`
5×	`pow1_binary64_10369` `add-log-exp_binary64_10347` `associate-r_binary64_10248`
4×	`associate-*r/_binary64_10250` `distribute-rgt-in_binary64_10258` `distribute-lft-in_binary64_10257`
3×	`times-frac_binary64_10314` `associate-/r_binary64_10252` `associate-l*_binary64_10249`
2×	`prod-exp_binary64_10357` `div-exp_binary64_10359` `cbrt-undiv_binary64_10342` `cbrt-unprod_binary64_10341` `flip3--_binary64_10312` `associate-/l/_binary64_10255` `flip--_binary64_10283` `sub-neg_binary64_10301`
1×	`frac-2neg_binary64_10319` `clear-num_binary64_10307` `div-inv_binary64_10305` `associate-/l_binary64_10253` `pow-prod-down_binary64_10379` `unswap-sqr_binary64_10276` `difference-of-squares_binary64_10277` `distribute-lft-out--_binary64_10260` `-commutative_binary64_10239` `sum-log_binary64_10399` `flip3-+_binary64_10311` `flip-+_binary64_10282` `distribute-lft-out_binary64_10259` `+-commutative_binary64_10238`

Counts

3 → 65

Calls

3 calls:

7.0ms	(*.f64 y (-.f64 z x))
7.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)
5.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))

Compiler

Compiled 1047 to 299 computations (71.4% saved)

series897.0ms (10.2%)

Error

0.1b

Counts

3 → 57

Calls

3 calls:

432.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
291.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)
138.0ms	(*.f64 y (-.f64 z x))

Compiler

Compiled 1493 to 861 computations (42.3% saved)

simplify60.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5049	1318

prune92.0ms (1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	116	6	122
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	117	6	123

Error

0.0b

Counts

123 → 6

Compiler

Compiled 1442 to 300 computations (79.2% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
7.1b	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (-.f64 z x) (cbrt.f64 t)))

rewrite140.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

54×	`add-sqr-sqrt_binary64_10330`
40×	`times-frac_binary64_10314`
38×	`*-un-lft-identity_binary64_10308`
34×	`associate-r_binary64_10248`
26×	`add-cube-cbrt_binary64_10343` `cbrt-prod_binary64_10339`
25×	`add-exp-log_binary64_10346`
18×	`add-cbrt-cube_binary64_10344`
8×	`prod-exp_binary64_10357` `cbrt-unprod_binary64_10341`
7×	`div-exp_binary64_10359` `cbrt-undiv_binary64_10342` `associate-l_binary64_10249`
6×	`pow1_binary64_10369` `unswap-sqr_binary64_10276` `difference-of-squares_binary64_10277` `distribute-lft-out--_binary64_10260`
4×	`add-log-exp_binary64_10347`
3×	`pow1/3_binary64_10390`
2×	`div-inv_binary64_10305`
1×	`pow-prod-down_binary64_10379` `frac-times_binary64_10318` `associate-l/_binary64_10251` `associate-r/_binary64_10250` `*-commutative_binary64_10239`

Counts

4 → 104

Calls

4 calls:

21.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (-.f64 z x) (cbrt.f64 t)))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

Compiler

Compiled 2571 to 507 computations (80.3% saved)

series711.0ms (8.1%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

348.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (-.f64 z x) (cbrt.f64 t)))
118.0ms	(cbrt.f64 t)
117.0ms	(cbrt.f64 t)
110.0ms	(cbrt.f64 t)

Compiler

Compiled 1029 to 652 computations (36.6% saved)

simplify76.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4963	1780
1	4963	1780

prune120.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	131	6	137

Error

0.0b

Counts

137 → 6

Compiler

Compiled 2451 to 668 computations (72.7% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
0.0b	(/.f64 t (-.f64 z x))
4.6b	(/.f64 y (/.f64 t (-.f64 z x)))

rewrite182.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

138×	`times-frac_binary64_10314`
105×	`*-un-lft-identity_binary64_10308`
103×	`add-sqr-sqrt_binary64_10330`
71×	`add-cube-cbrt_binary64_10343`
26×	`associate-/r*_binary64_10252`
16×	`difference-of-squares_binary64_10277` `distribute-lft-out--_binary64_10260`
11×	`associate-/r/_binary64_10254`
10×	`add-exp-log_binary64_10346` `add-cbrt-cube_binary64_10344`
6×	`div-inv_binary64_10305` `associate-/l*_binary64_10253`
5×	`add-log-exp_binary64_10347` `flip3--_binary64_10312` `flip--_binary64_10283`
4×	`div-exp_binary64_10359` `cbrt-undiv_binary64_10342`
3×	`pow1_binary64_10369`
2×	`frac-2neg_binary64_10319` `clear-num_binary64_10307`
1×	`sum-log_binary64_10399` `flip3-+_binary64_10311` `flip-+_binary64_10282` `distribute-lft-out_binary64_10259` `+-commutative_binary64_10238`

Counts

3 → 151

Calls

3 calls:

20.0ms	(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
9.0ms	(/.f64 y (/.f64 t (-.f64 z x)))
6.0ms	(/.f64 t (-.f64 z x))

Compiler

Compiled 2965 to 744 computations (74.9% saved)

series912.0ms (10.4%)

Error

0.0b

Counts

3 → 63

Calls

3 calls:

419.0ms	(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
300.0ms	(/.f64 y (/.f64 t (-.f64 z x)))
152.0ms	(/.f64 t (-.f64 z x))

Compiler

Compiled 1928 to 1179 computations (38.8% saved)

simplify86.0ms (1%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4983	3792
1	4983	3792

prune169.0ms (1.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	213	1	214
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	214	6	220

Error

Counts

220 → 6

Compiler

Compiled 3407 to 673 computations (80.2% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))
9.0b	(*.f64 (/.f64 y t) (-.f64 z x))

rewrite74.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

21×	`add-sqr-sqrt_binary64_10330`
16×	`*-un-lft-identity_binary64_10308`
14×	`add-cube-cbrt_binary64_10343`
13×	`associate-l_binary64_10249`
12×	`cancel-sign-sub-inv_binary64_10274`
10×	`times-frac_binary64_10314`
8×	`distribute-rgt-in_binary64_10258` `distribute-lft-in_binary64_10257` `associate-+r+_binary64_10240`
7×	`add-exp-log_binary64_10346` `add-cbrt-cube_binary64_10344`
5×	`associate-r_binary64_10248`
4×	`pow1_binary64_10369` `add-log-exp_binary64_10347` `sub-neg_binary64_10301`
2×	`prod-exp_binary64_10357` `cbrt-unprod_binary64_10341` `flip3--_binary64_10312` `frac-times_binary64_10318` `flip--_binary64_10283` `unswap-sqr_binary64_10276` `associate-*r/_binary64_10250`
1×	`pow-prod-down_binary64_10379` `div-exp_binary64_10359` `cbrt-undiv_binary64_10342` `associate-l/_binary64_10251` `div-inv_binary64_10305` `difference-of-squares_binary64_10277` `distribute-lft-out--_binary64_10260` `-commutative_binary64_10239` `sum-log_binary64_10399` `flip3-+_binary64_10311` `flip-+_binary64_10282` `+-commutative_binary64_10238`

Counts

2 → 65

Calls

2 calls:

10.0ms	(*.f64 (/.f64 y t) (-.f64 z x))
5.0ms	(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))

Compiler

Compiled 1137 to 286 computations (74.8% saved)

series728.0ms (8.3%)

Error

Counts

2 → 42

Calls

2 calls:

418.0ms	(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))
291.0ms	(*.f64 (/.f64 y t) (-.f64 z x))

Compiler

Compiled 1118 to 645 computations (42.3% saved)

simplify57.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5163	1365

prune65.0ms (0.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	107	6	113

Error

Counts

113 → 6

Compiler

Compiled 1354 to 246 computations (81.8% saved)

regimes354.0ms (4%)

Accuracy

Total 1.0b remaining (99.7%)

Threshold costs 1.0b (99.7%)

Compiler

Compiled 2866 to 2028 computations (29.2% saved)

bsearch3.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	64
1	38	64

end0.0ms (0%)

sample1.2s (14.2%)

Algorithm

1×

intervals

Results

261.0ms	8000×	body	128	valid
88.0ms	2663×	body	128	invalid

Compiler

Compiled 635 to 437 computations (31.2% saved)

Details

analyze1.7s (18.9%)

sample953.0ms (10.9%)

simplify53.0ms (0.6%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite90.0ms (1%)

series897.0ms (10.2%)

simplify60.0ms (0.7%)

prune92.0ms (1%)

localize11.0ms (0.1%)

rewrite140.0ms (1.6%)

series711.0ms (8.1%)

simplify76.0ms (0.9%)

prune120.0ms (1.4%)

localize7.0ms (0.1%)

rewrite182.0ms (2.1%)

series912.0ms (10.4%)

simplify86.0ms (1%)

prune169.0ms (1.9%)

localize7.0ms (0.1%)

rewrite74.0ms (0.8%)

series728.0ms (8.3%)

simplify57.0ms (0.6%)

prune65.0ms (0.7%)

regimes354.0ms (4%)

bsearch3.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.2s (14.2%)

Profiling