Details

analyze521.0ms (13.6%)

Algorithm

1×

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
7%	92.8%	0.2%	8
19.1%	80.7%	0.2%	9
29.8%	70%	0.2%	10
31.3%	68.5%	0.2%	11
42.3%	57.2%	0.6%	12
53.3%	45.5%	1.2%	13
59.2%	39.3%	1.5%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample18.0ms (0.5%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	22×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify283.0ms (7.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (122.0ms)

Iter	Nodes	Cost
0	5722	13

prune2.0ms (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

Merged error: 11.7b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (-.f64 y z))
11.1b	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))

rewrite23.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_17959`
12×	`*-un-lft-identity_binary64_17938`
9×	`add-cbrt-cube_binary64_17971` `add-exp-log_binary64_17973`
6×	`add-cube-cbrt_binary64_17970`
5×	`associate-r_binary64_17880` `associate-/r*_binary64_17884` `times-frac_binary64_17944`
4×	`associate-*r/_binary64_17882` `pow1_binary64_17996`
3×	`associate-l_binary64_17881` `flip3--_binary64_17942` `difference-of-squares_binary64_17907` `distribute-lft-out--_binary64_17892` `flip--_binary64_17913`
2×	`prod-exp_binary64_17984` `div-exp_binary64_17986` `sub-neg_binary64_17931` `cbrt-unprod_binary64_17968` `associate-/r/_binary64_17886` `add-log-exp_binary64_17974` `cbrt-undiv_binary64_17969` `associate-/l/_binary64_17887`
1×	`clear-num_binary64_17937` `-commutative_binary64_17871` `distribute-lft-in_binary64_17889` `unswap-sqr_binary64_17906` `distribute-rgt-in_binary64_17890` `pow-prod-down_binary64_18006` `div-inv_binary64_17935` `frac-2neg_binary64_17949` `associate-/l_binary64_17885`

Counts

2 → 53

Calls

2 calls:

11.0ms	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))
8.0ms	(*.f64 x (-.f64 y z))

series247.0ms (6.5%)

Counts

2 → 6

Calls

2 calls:

180.0ms	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))
67.0ms	(*.f64 x (-.f64 y z))

simplify47.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5001	716

prune43.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	55	4	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	5	60

Merged error: 0.0b

Counts

60 → 5

Compiler

Compiled 826 to 217 computations (73.7% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 t z) (-.f64 y z))
2.4b	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

rewrite52.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64_17944`
194×	`add-sqr-sqrt_binary64_17959` `*-un-lft-identity_binary64_17938`
90×	`add-cube-cbrt_binary64_17970`
52×	`difference-of-squares_binary64_17907` `distribute-lft-out--_binary64_17892`
36×	`associate-/r*_binary64_17884`
11×	`associate-/r/_binary64_17886`
9×	`add-cbrt-cube_binary64_17971` `add-exp-log_binary64_17973`
8×	`associate-/l*_binary64_17885`
6×	`flip3--_binary64_17942` `div-inv_binary64_17935` `flip--_binary64_17913`
4×	`div-exp_binary64_17986` `cbrt-undiv_binary64_17969`
2×	`clear-num_binary64_17937` `frac-2neg_binary64_17949` `add-log-exp_binary64_17974` `pow1_binary64_17996` `associate-/l/_binary64_17887`
1×	`div-sub_binary64_17943`

Counts

2 → 194

Calls

2 calls:

17.0ms	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))
9.0ms	(/.f64 (-.f64 t z) (-.f64 y z))

series412.0ms (10.8%)

Counts

2 → 6

Calls

2 calls:

317.0ms	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))
95.0ms	(/.f64 (-.f64 t z) (-.f64 y z))

simplify88.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5028	4887

prune148.0ms (3.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	195	5	200
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	196	9	205

Merged error: 0b

Counts

205 → 9

Compiler

Compiled 3931 to 588 computations (85% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 y z) (-.f64 t z))
2.5b	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))

rewrite41.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64_17959`
70×	`*-un-lft-identity_binary64_17938`
51×	`times-frac_binary64_17944`
31×	`associate-r_binary64_17880`
26×	`add-cube-cbrt_binary64_17970`
22×	`difference-of-squares_binary64_17907` `distribute-lft-out--_binary64_17892`
9×	`add-cbrt-cube_binary64_17971` `add-exp-log_binary64_17973`
5×	`associate-/r_binary64_17884` `associate-/l_binary64_17885`
4×	`associate-/r/_binary64_17886` `pow1_binary64_17996`
3×	`associate-l_binary64_17881` `flip3--_binary64_17942` `flip--_binary64_17913`
2×	`prod-exp_binary64_17984` `div-exp_binary64_17986` `unswap-sqr_binary64_17906` `div-inv_binary64_17935` `cbrt-unprod_binary64_17968` `add-log-exp_binary64_17974` `cbrt-undiv_binary64_17969` `associate-/l/_binary64_17887`
1×	`associate-r/_binary64_17882` `clear-num_binary64_17937` `-commutative_binary64_17871` `pow-prod-down_binary64_18006` `frac-2neg_binary64_17949` `div-sub_binary64_17943`

Counts

2 → 102

Calls

2 calls:

17.0ms	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
13.0ms	(/.f64 (-.f64 y z) (-.f64 t z))

series265.0ms (6.9%)

Counts

2 → 6

Calls

2 calls:

170.0ms	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
94.0ms	(/.f64 (-.f64 y z) (-.f64 t z))

simplify48.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5261	1767

prune70.0ms (1.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	108	9	117

Merged error: 0b

Counts

117 → 9

Compiler

Compiled 1840 to 362 computations (80.3% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 x (-.f64 y z))
0.4b	(/.f64 1 (/.f64 (-.f64 t z) (*.f64 x (-.f64 y z))))
11.1b	(/.f64 (-.f64 t z) (*.f64 x (-.f64 y z)))

rewrite47.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`times-frac_binary64_17944`
43×	`add-sqr-sqrt_binary64_17959`
41×	`*-un-lft-identity_binary64_17938`
31×	`add-exp-log_binary64_17973`
27×	`add-cube-cbrt_binary64_17970`
19×	`add-cbrt-cube_binary64_17971`
14×	`div-exp_binary64_17986`
12×	`associate-r/_binary64_17882` `associate-/r_binary64_17884`
11×	`associate-/r/_binary64_17886`
8×	`associate-/l*_binary64_17885`
7×	`flip3--_binary64_17942` `difference-of-squares_binary64_17907` `distribute-lft-out--_binary64_17892` `flip--_binary64_17913` `cbrt-undiv_binary64_17969`
6×	`div-inv_binary64_17935` `pow1_binary64_17996`
5×	`prod-exp_binary64_17984` `associate-r_binary64_17880`
3×	`associate-l_binary64_17881` `rec-exp_binary64_17985` `cbrt-unprod_binary64_17968` `1-exp_binary64_17979` `add-log-exp_binary64_17974`
2×	`clear-num_binary64_17937` `sub-neg_binary64_17931` `frac-2neg_binary64_17949` `associate-/l/_binary64_17887`
1×	`*-commutative_binary64_17871` `pow-flip_binary64_18009` `distribute-lft-in_binary64_17889` `unswap-sqr_binary64_17906` `distribute-rgt-in_binary64_17890` `pow-prod-down_binary64_18006` `div-sub_binary64_17943` `inv-pow_binary64_18020`

Counts

3 → 126

Calls

3 calls:

14.0ms	(/.f64 1 (/.f64 (-.f64 t z) (*.f64 x (-.f64 y z))))
11.0ms	(/.f64 (-.f64 t z) (*.f64 x (-.f64 y z)))
7.0ms	(*.f64 x (-.f64 y z))

series520.0ms (13.6%)

Counts

3 → 9

Calls

3 calls:

330.0ms	(/.f64 1 (/.f64 (-.f64 t z) (*.f64 x (-.f64 y z))))
122.0ms	(/.f64 (-.f64 t z) (*.f64 x (-.f64 y z)))
68.0ms	(*.f64 x (-.f64 y z))

simplify66.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5542	2275

prune87.0ms (2.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	1	4	5
Picked	0	1	1
Done	1	2	3
Total	136	8	144

Merged error: 0b

Counts

144 → 8

Compiler

Compiled 2161 to 582 computations (73.1% saved)

regimes108.0ms (2.8%)

Compiler: Compiled 501 to 433 computations (13.6% saved)

bsearch1.0ms (0%)

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

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	64
1	35	64

end0.0ms (0%)

sample665.0ms (17.3%)

Algorithm

1×

intervals

Results

261.0ms	8000×	body	128	valid
22.0ms	614×	body	128	invalid

Compiler

Compiled 157 to 115 computations (26.8% saved)

Details

analyze521.0ms (13.6%)

sample18.0ms (0.5%)

simplify283.0ms (7.4%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite23.0ms (0.6%)

series247.0ms (6.5%)

simplify47.0ms (1.2%)

prune43.0ms (1.1%)

localize7.0ms (0.2%)

rewrite52.0ms (1.4%)

series412.0ms (10.8%)

simplify88.0ms (2.3%)

prune148.0ms (3.9%)

localize7.0ms (0.2%)

rewrite41.0ms (1.1%)

series265.0ms (6.9%)

simplify48.0ms (1.3%)

prune70.0ms (1.8%)

localize9.0ms (0.2%)

rewrite47.0ms (1.2%)

series520.0ms (13.6%)

simplify66.0ms (1.7%)

prune87.0ms (2.3%)

regimes108.0ms (2.8%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample665.0ms (17.3%)

Profiling