Details

analyze1.8s (12.4%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	171	154
1	171	154
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
6.2%	93.6%	0.2%	9
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
9.4%	90.4%	0.2%	10
14%	83.4%	2.5%	11
14%	83.4%	2.5%	11
18.7%	78.2%	3.1%	12
18.7%	78.2%	3.1%	12
28.1%	65.5%	6.4%	13
28.1%	65.5%	6.4%	13
30.7%	59.4%	9.9%	14
30.7%	59.4%	9.9%	14

Compiler

Compiled 32 to 24 computations (25% saved)

sample2.3s (16%)

Algorithm

2×

intervals

Results

28.0ms	466×	body	128	invalid
22.0ms	512×	body	128	valid

Compiler

Compiled 7967 to 7963 computations (0.1% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	49	22
1	49	22

prune3.0ms (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

33.9b

Counts

2 → 1

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
18.7b	(/.f64 (.f64 z z) (.f64 t t))
22.0b	(/.f64 (.f64 x x) (.f64 y y))

rewrite100.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

4.4b

Rules

27×	`add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482`
8×	`prod-exp_binary64_16495` `div-exp_binary64_16497` `cbrt-undiv_binary64_16480` `cbrt-unprod_binary64_16479`
5×	`add-log-exp_binary64_16485` `*-un-lft-identity_binary64_16446`
3×	`pow1_binary64_16507` `add-cube-cbrt_binary64_16481` `add-sqr-sqrt_binary64_16468`
2×	`frac-2neg_binary64_16457` `times-frac_binary64_16452` `clear-num_binary64_16445` `div-inv_binary64_16443` `associate-/l_binary64_16391` `associate-/r_binary64_16390`
1×	`sum-log_binary64_16537` `frac-add_binary64_16454` `flip3-+_binary64_16449` `flip-+_binary64_16420` `distribute-lft-out_binary64_16397` `+-commutative_binary64_16376`

Counts

3 → 55

Calls

3 calls:

10.0ms	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
6.0ms	(/.f64 (.f64 x x) (.f64 y y))
6.0ms	(/.f64 (.f64 z z) (.f64 t t))

Compiler

Compiled 1304 to 213 computations (83.7% saved)

series903.0ms (6.2%)

Error

30.0b

Counts

3 → 36

Calls

3 calls:

623.0ms	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
129.0ms	(/.f64 (.f64 x x) (.f64 y y))
120.0ms	(/.f64 (.f64 z z) (.f64 t t))

Compiler

Compiled 1248 to 1054 computations (15.5% saved)

simplify69.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4968	1257
1	4968	1257

prune92.0ms (0.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	81	10	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	10	92

Error

4.4b

Counts

92 → 10

Compiler

Compiled 1589 to 325 computations (79.5% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
0.3b	(*.f64 (/.f64 x y) (/.f64 x y))
18.7b	(/.f64 (.f64 z z) (.f64 t t))

rewrite358.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

43×	`add-sqr-sqrt_binary64_16468`
41×	`times-frac_binary64_16452`
31×	`add-cube-cbrt_binary64_16481` `*-un-lft-identity_binary64_16446`
27×	`add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482`
13×	`swap-sqr_binary64_16413` `associate-l_binary64_16387` `associate-r_binary64_16386`
10×	`pow1_binary64_16507`
8×	`prod-exp_binary64_16495` `div-exp_binary64_16497` `cbrt-undiv_binary64_16480` `cbrt-unprod_binary64_16479`
5×	`add-log-exp_binary64_16485` `div-inv_binary64_16443`
4×	`unswap-sqr_binary64_16414`
3×	`frac-add_binary64_16454`
2×	`frac-times_binary64_16456` `associate-l/_binary64_16389` `associate-r/_binary64_16388`
1×	`frac-2neg_binary64_16457` `clear-num_binary64_16445` `associate-/l_binary64_16391` `associate-/r_binary64_16390` `pow2_binary64_16527` `pow-prod-down_binary64_16517` `pow-prod-up_binary64_16516` `pow-plus_binary64_16509` `pow-sqr_binary64_16419` `*-commutative_binary64_16377` `sum-log_binary64_16537` `flip3-+_binary64_16449` `flip-+_binary64_16420` `+-commutative_binary64_16376`

Counts

3 → 102

Calls

3 calls:

11.0ms	(*.f64 (/.f64 x y) (/.f64 x y))
9.0ms	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
6.0ms	(/.f64 (.f64 z z) (.f64 t t))

Compiler

Compiled 2465 to 425 computations (82.8% saved)

series886.0ms (6.1%)

Error

4.4b

Counts

3 → 36

Calls

3 calls:

617.0ms	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
122.0ms	(*.f64 (/.f64 x y) (/.f64 x y))
119.0ms	(/.f64 (.f64 z z) (.f64 t t))

Compiler

Compiled 1248 to 1041 computations (16.6% saved)

simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5529	1790

prune136.0ms (0.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	131	7	138
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	134	14	148

Error

0.1b

Counts

148 → 14

Compiler

Compiled 2549 to 675 computations (73.5% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (/.f64 z t) (/.f64 z t)))
0.3b	(*.f64 (/.f64 z t) (/.f64 z t))
0.3b	(*.f64 (/.f64 x y) (/.f64 x y))

rewrite206.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

83×	`add-sqr-sqrt_binary64_16468`
80×	`times-frac_binary64_16452`
59×	`add-cube-cbrt_binary64_16481` `*-un-lft-identity_binary64_16446`
27×	`add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482`
26×	`swap-sqr_binary64_16413` `associate-l_binary64_16387` `associate-r_binary64_16386`
17×	`pow1_binary64_16507`
9×	`frac-add_binary64_16454`
8×	`div-exp_binary64_16497` `prod-exp_binary64_16495` `cbrt-unprod_binary64_16479` `cbrt-undiv_binary64_16480` `frac-times_binary64_16456` `unswap-sqr_binary64_16414` `div-inv_binary64_16443` `associate-l/_binary64_16389` `associate-r/_binary64_16388`
5×	`add-log-exp_binary64_16485`
2×	`pow2_binary64_16527` `pow-prod-down_binary64_16517` `pow-prod-up_binary64_16516` `pow-plus_binary64_16509` `pow-sqr_binary64_16419` `*-commutative_binary64_16377`
1×	`sum-log_binary64_16537` `flip3-+_binary64_16449` `flip-+_binary64_16420` `+-commutative_binary64_16376`

Counts

3 → 154

Calls

3 calls:

14.0ms	(*.f64 (/.f64 z t) (/.f64 z t))
12.0ms	(*.f64 (/.f64 x y) (/.f64 x y))
8.0ms	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (/.f64 z t) (/.f64 z t)))

Compiler

Compiled 3719 to 652 computations (82.5% saved)

series891.0ms (6.1%)

Error

0.1b

Counts

3 → 36

Calls

3 calls:

609.0ms	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (/.f64 z t) (/.f64 z t)))
132.0ms	(*.f64 (/.f64 x y) (/.f64 x y))
124.0ms	(*.f64 (/.f64 z t) (/.f64 z t))

Compiler

Compiled 1248 to 1028 computations (17.6% saved)

simplify98.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5055	2547

prune196.0ms (1.4%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	180	10	190
Fresh	7	6	13
Picked	1	0	1
Done	0	0	0
Total	188	16	204

Error

0.0b

Counts

204 → 16

Compiler

Compiled 3685 to 996 computations (73% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 y)
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)

rewrite60.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`cbrt-prod_binary64_16477`
8×	`add-cube-cbrt_binary64_16481` `add-sqr-sqrt_binary64_16468` `*-un-lft-identity_binary64_16446`
4×	`pow1/3_binary64_16528` `pow1_binary64_16507` `add-log-exp_binary64_16485` `add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1460 to 258 computations (82.3% saved)

series453.0ms (3.1%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

116.0ms	(cbrt.f64 x)
108.0ms	(cbrt.f64 x)
108.0ms	(cbrt.f64 x)
107.0ms	(cbrt.f64 y)

Compiler

Compiled 1140 to 578 computations (49.3% saved)

simplify86.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4832	324
1	4832	324

prune68.0ms (0.5%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	15	15
Picked	0	1	1
Done	0	0	0
Total	56	16	72

Error

0.0b

Counts

72 → 16

Compiler

Compiled 1788 to 284 computations (84.1% saved)

regimes2.6s (18.2%)

Accuracy

Total 0.4b remaining (97.7%)

Threshold costs 0.4b (97.7%)

Compiler

Compiled 32785 to 20188 computations (38.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	22
1	13	22

end0.0ms (0%)

sample3.0s (20.9%)

Algorithm

1×

intervals

Results

360.0ms	8000×	body	128	valid
313.0ms	7442×	body	128	invalid

Compiler

Compiled 2564 to 1572 computations (38.7% saved)

Details

analyze1.8s (12.4%)

sample2.3s (16%)

simplify8.0ms (0.1%)

prune3.0ms (0%)

localize10.0ms (0.1%)

rewrite100.0ms (0.7%)

series903.0ms (6.2%)

simplify69.0ms (0.5%)

prune92.0ms (0.6%)

localize9.0ms (0.1%)

rewrite358.0ms (2.5%)

series886.0ms (6.1%)

simplify66.0ms (0.5%)

prune136.0ms (0.9%)

localize7.0ms (0.1%)

rewrite206.0ms (1.4%)

series891.0ms (6.1%)

simplify98.0ms (0.7%)

prune196.0ms (1.4%)

localize16.0ms (0.1%)

rewrite60.0ms (0.4%)

series453.0ms (3.1%)

simplify86.0ms (0.6%)

prune68.0ms (0.5%)

regimes2.6s (18.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.0s (20.9%)

Profiling