Details

analyze1.7s (25%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5256	550
0	7	7
1	7	7

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.2%	98.5%	0.3%	13
1.8%	97.9%	0.3%	14

Compiler

Compiled 18 to 18 computations (0% saved)

sample44.0ms (0.7%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
7.0ms	144×	body	128	invalid

Compiler

Compiled 35 to 42 computations (-20% saved)

simplify81.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	937	25
1	937	25

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

0.0b

Counts

2 → 1

Compiler

Compiled 34 to 34 computations (0% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
0.0b	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
0.0b	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)

rewrite35.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-log-exp_binary64_7278`
14×	`*-un-lft-identity_binary64_7239` `cancel-sign-sub-inv_binary64_7205`
9×	`associate-+l+_binary64_7172` `add-sqr-sqrt_binary64_7261`
7×	`add-cube-cbrt_binary64_7274`
6×	`sum-log_binary64_7330` `times-frac_binary64_7245`
4×	`diff-log_binary64_7331`
3×	`flip-+_binary64_7213` `flip3-+_binary64_7242` `add-exp-log_binary64_7277` `pow1_binary64_7300` `add-cbrt-cube_binary64_7275`
2×	`associate--l+_binary64_7176` `frac-sub_binary64_7248` `div-inv_binary64_7236` `distribute-lft-out--_binary64_7191` `distribute-lft-out_binary64_7190` `+-commutative_binary64_7169` `sub-neg_binary64_7232`
1×	`flip3--_binary64_7243` `flip--_binary64_7214` `difference-of-squares_binary64_7208` `associate-+l-_binary64_7174`

Counts

3 → 60

Calls

3 calls:

14.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
11.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
5.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))

series295.0ms (4.3%)

Counts

3 → 9

Calls

3 calls:

161.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
88.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
45.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))

simplify72.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5028	1670

prune78.0ms (1.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	66	3	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	3	70

Error

0.0b

Counts

70 → 3

Compiler

Compiled 1752 to 827 computations (52.8% saved)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x y) (+.f64 (/.f64 (.f64 z t) 16) (-.f64 c (/.f64 (*.f64 a b) 4))))
0.0b	(+.f64 (/.f64 (.f64 z t) 16) (-.f64 c (/.f64 (.f64 a b) 4)))
0.0b	(-.f64 c (/.f64 (*.f64 a b) 4))

rewrite39.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-log-exp_binary64_7278`
14×	`*-un-lft-identity_binary64_7239` `cancel-sign-sub-inv_binary64_7205`
9×	`associate-+r+_binary64_7171` `add-sqr-sqrt_binary64_7261`
7×	`sum-log_binary64_7330` `add-cube-cbrt_binary64_7274`
6×	`times-frac_binary64_7245`
3×	`add-exp-log_binary64_7277` `associate-+r-_binary64_7173` `pow1_binary64_7300` `diff-log_binary64_7331` `add-cbrt-cube_binary64_7275`
2×	`flip-+_binary64_7213` `flip3-+_binary64_7242` `flip3--_binary64_7243` `flip--_binary64_7214` `div-inv_binary64_7236` `frac-add_binary64_7247` `distribute-lft-out--_binary64_7191` `distribute-lft-out_binary64_7190` `+-commutative_binary64_7169` `sub-neg_binary64_7232`
1×	`difference-of-squares_binary64_7208`

Counts

3 → 60

Calls

3 calls:

15.0ms	(+.f64 (.f64 x y) (+.f64 (/.f64 (.f64 z t) 16) (-.f64 c (/.f64 (*.f64 a b) 4))))
13.0ms	(+.f64 (/.f64 (.f64 z t) 16) (-.f64 c (/.f64 (.f64 a b) 4)))
6.0ms	(-.f64 c (/.f64 (*.f64 a b) 4))

series266.0ms (3.9%)

Counts

3 → 9

Calls

3 calls:

154.0ms	(+.f64 (.f64 x y) (+.f64 (/.f64 (.f64 z t) 16) (-.f64 c (/.f64 (*.f64 a b) 4))))
75.0ms	(+.f64 (/.f64 (.f64 z t) 16) (-.f64 c (/.f64 (.f64 a b) 4)))
36.0ms	(-.f64 c (/.f64 (*.f64 a b) 4))

simplify39.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5117	1496

prune77.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	67	2	69
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	68	4	72

Error

0.0b

Counts

72 → 4

Compiler

Compiled 1771 to 877 computations (50.5% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (-.f64 c (/.f64 (.f64 a b) 4))) (cbrt.f64 (-.f64 c (/.f64 (*.f64 a b) 4))))
0.6b	(cbrt.f64 (-.f64 c (/.f64 (*.f64 a b) 4)))
0.6b	(cbrt.f64 (-.f64 c (/.f64 (*.f64 a b) 4)))
0.6b	(cbrt.f64 (-.f64 c (/.f64 (*.f64 a b) 4)))

rewrite51.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`cbrt-prod_binary64_7270`
37×	`add-sqr-sqrt_binary64_7261`
35×	`*-un-lft-identity_binary64_7239`
18×	`cbrt-div_binary64_7271`
15×	`add-cube-cbrt_binary64_7274`
11×	`pow1_binary64_7300`
10×	`swap-sqr_binary64_7206`
9×	`flip3--_binary64_7243` `flip--_binary64_7214` `pow1/3_binary64_7321` `distribute-lft-out--_binary64_7191`
8×	`associate-r_binary64_7179` `associate-l_binary64_7180`
7×	`difference-of-squares_binary64_7208`
6×	`add-exp-log_binary64_7277`
4×	`add-log-exp_binary64_7278` `frac-times_binary64_7249` `unswap-sqr_binary64_7207` `add-cbrt-cube_binary64_7275`
2×	`associate-r/_binary64_7181` `associate-l/_binary64_7182` `pow-prod-down_binary64_7310` `pow-sqr_binary64_7212` `pow-prod-up_binary64_7309`
1×	`pow2_binary64_7320` `cbrt-unprod_binary64_7272` `*-commutative_binary64_7170` `prod-exp_binary64_7288` `pow-plus_binary64_7302`

Counts

4 → 101

Calls

4 calls:

20.0ms	(.f64 (cbrt.f64 (-.f64 c (/.f64 (.f64 a b) 4))) (cbrt.f64 (-.f64 c (/.f64 (*.f64 a b) 4))))
7.0ms	(cbrt.f64 (-.f64 c (/.f64 (*.f64 a b) 4)))
5.0ms	(cbrt.f64 (-.f64 c (/.f64 (*.f64 a b) 4)))
5.0ms	(cbrt.f64 (-.f64 c (/.f64 (*.f64 a b) 4)))

series537.0ms (7.9%)

Counts

4 → 12

Calls

4 calls:

159.0ms	(.f64 (cbrt.f64 (-.f64 c (/.f64 (.f64 a b) 4))) (cbrt.f64 (-.f64 c (/.f64 (*.f64 a b) 4))))
128.0ms	(cbrt.f64 (-.f64 c (/.f64 (*.f64 a b) 4)))
126.0ms	(cbrt.f64 (-.f64 c (/.f64 (*.f64 a b) 4)))
124.0ms	(cbrt.f64 (-.f64 c (/.f64 (*.f64 a b) 4)))

simplify106.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4906	2662
1	4906	2662

prune202.0ms (3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	114	3	117

Error

Counts

117 → 3

Compiler

Compiled 4974 to 2695 computations (45.8% saved)

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 c (/.f64 (*.f64 a b) 4)))
0.6b	(cbrt.f64 (-.f64 c (/.f64 (*.f64 a b) 4)))
0.6b	(cbrt.f64 (-.f64 c (/.f64 (*.f64 a b) 4)))
0.6b	(cbrt.f64 (-.f64 c (/.f64 (*.f64 a b) 4)))

rewrite31.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`cbrt-prod_binary64_7270`
16×	`*-un-lft-identity_binary64_7239` `add-sqr-sqrt_binary64_7261`
8×	`cbrt-div_binary64_7271` `add-cube-cbrt_binary64_7274`
4×	`add-exp-log_binary64_7277` `flip3--_binary64_7243` `add-log-exp_binary64_7278` `flip--_binary64_7214` `pow1/3_binary64_7321` `distribute-lft-out--_binary64_7191` `difference-of-squares_binary64_7208` `pow1_binary64_7300` `add-cbrt-cube_binary64_7275`

Counts

4 → 60

Calls

4 calls:

6.0ms	(cbrt.f64 (-.f64 c (/.f64 (*.f64 a b) 4)))
5.0ms	(cbrt.f64 (-.f64 c (/.f64 (*.f64 a b) 4)))
5.0ms	(cbrt.f64 (-.f64 c (/.f64 (*.f64 a b) 4)))
5.0ms	(cbrt.f64 (-.f64 c (/.f64 (*.f64 a b) 4)))

series496.0ms (7.3%)

Counts

4 → 12

Calls

4 calls:

127.0ms	(cbrt.f64 (-.f64 c (/.f64 (*.f64 a b) 4)))
125.0ms	(cbrt.f64 (-.f64 c (/.f64 (*.f64 a b) 4)))
122.0ms	(cbrt.f64 (-.f64 c (/.f64 (*.f64 a b) 4)))
122.0ms	(cbrt.f64 (-.f64 c (/.f64 (*.f64 a b) 4)))

simplify80.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4957	1532
1	4957	1532

prune193.0ms (2.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	72	3	75

Error

Counts

75 → 3

Compiler

Compiled 4472 to 2710 computations (39.4% saved)

regimes585.0ms (8.6%)

Accuracy

Total 0.0b remaining (15.5%)

Threshold costs 0.0b (15.5%)

Compiler

Compiled 7233 to 6034 computations (16.6% saved)

bsearch0.0ms (0%)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	25
1	56	25

Compiler

Compiled 102 to 102 computations (0% saved)

end0.0ms (0%)

sample1.7s (25%)

Algorithm

1×

intervals

Results

456.0ms	8000×	body	128	valid
212.0ms	3897×	body	128	invalid

Compiler

Compiled 488 to 408 computations (16.4% saved)

Details

analyze1.7s (25%)

sample44.0ms (0.7%)

simplify81.0ms (1.2%)

prune3.0ms (0%)

localize13.0ms (0.2%)

rewrite35.0ms (0.5%)

series295.0ms (4.3%)

simplify72.0ms (1.1%)

prune78.0ms (1.1%)

localize17.0ms (0.2%)

rewrite39.0ms (0.6%)

series266.0ms (3.9%)

simplify39.0ms (0.6%)

prune77.0ms (1.1%)

localize21.0ms (0.3%)

rewrite51.0ms (0.7%)

series537.0ms (7.9%)

simplify106.0ms (1.6%)

prune202.0ms (3%)

localize28.0ms (0.4%)

rewrite31.0ms (0.5%)

series496.0ms (7.3%)

simplify80.0ms (1.2%)

prune193.0ms (2.8%)

regimes585.0ms (8.6%)

bsearch0.0ms (0%)

simplify14.0ms (0.2%)

end0.0ms (0%)

sample1.7s (25%)

Profiling