Details

analyze116.0ms (2.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	10
1	16	10
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25%	13
74.9%	0%	25.1%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample12.0ms (0.2%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	10
1	16	10

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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 (.f64 x x) 2)
0.0b	(-.f64 (.f64 (.f64 x x) 2) 1)

rewrite48.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
5×	`add-sqr-sqrt_binary64_782`
4×	`add-log-exp_binary64_799` `add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
3×	`cancel-sign-sub-inv_binary64_726` `pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `associate-r_binary64_700`
1×	`diff-log_binary64_852` `flip3--_binary64_764` `sub-neg_binary64_753` `flip--_binary64_735` `unswap-sqr_binary64_728` `associate-l_binary64_701` `*-commutative_binary64_691`

Counts

2 → 33

Calls

2 calls:

6.0ms	(-.f64 (.f64 (.f64 x x) 2) 1)
6.0ms	(.f64 (.f64 x x) 2)

Compiler

Compiled 447 to 295 computations (34% saved)

series115.0ms (2.4%)

Error

0.0b

Counts

2 → 9

Calls

2 calls:

80.0ms	(-.f64 (.f64 (.f64 x x) 2) 1)
29.0ms	(.f64 (.f64 x x) 2)

Compiler

Compiled 148 to 142 computations (4.1% saved)

simplify97.0ms (2%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4921	391
1	4921	391

prune31.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	3	43

Error

0.0b

Counts

43 → 3

Compiler

Compiled 431 to 295 computations (31.6% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 (.f64 x (*.f64 x (sqrt.f64 2))) (sqrt.f64 2)) 1)
0.2b	(.f64 x (.f64 x (sqrt.f64 2)))
0.4b	(.f64 (.f64 x (*.f64 x (sqrt.f64 2))) (sqrt.f64 2))
0.4b	(*.f64 x (sqrt.f64 2))

rewrite142.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
15×	`add-sqr-sqrt_binary64_782`
13×	`associate-r_binary64_700`
11×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
10×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793`
7×	`sqrt-prod_binary64_776` `associate-l_binary64_701`
6×	`add-log-exp_binary64_799`
3×	`*-commutative_binary64_691` `cancel-sign-sub-inv_binary64_726`
2×	`unswap-sqr_binary64_728`
1×	`diff-log_binary64_852` `flip3--_binary64_764` `sub-neg_binary64_753` `flip--_binary64_735`

Counts

4 → 78

Calls

4 calls:

15.0ms	(.f64 (.f64 x (*.f64 x (sqrt.f64 2))) (sqrt.f64 2))
9.0ms	(-.f64 (.f64 (.f64 x (*.f64 x (sqrt.f64 2))) (sqrt.f64 2)) 1)
6.0ms	(.f64 x (.f64 x (sqrt.f64 2)))
5.0ms	(*.f64 x (sqrt.f64 2))

Compiler

Compiled 1414 to 1152 computations (18.5% saved)

series238.0ms (5%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

80.0ms	(.f64 (.f64 x (*.f64 x (sqrt.f64 2))) (sqrt.f64 2))
72.0ms	(-.f64 (.f64 (.f64 x (*.f64 x (sqrt.f64 2))) (sqrt.f64 2)) 1)
42.0ms	(*.f64 x (sqrt.f64 2))
35.0ms	(.f64 x (.f64 x (sqrt.f64 2)))

Compiler

Compiled 412 to 391 computations (5.1% saved)

simplify110.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4939	875
1	4939	875

prune77.0ms (1.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	93	3	96

Error

0.0b

Counts

96 → 3

Compiler

Compiled 1180 to 930 computations (21.2% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 -1 (*.f64 (pow.f64 x 4) 4))
0.0b	(.f64 2 (.f64 x x))
0.0b	(*.f64 (pow.f64 x 4) 4)
11.1b	(/.f64 (+.f64 -1 (.f64 (pow.f64 x 4) 4)) (+.f64 (.f64 2 (*.f64 x x)) 1))

rewrite180.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

22×	`add-sqr-sqrt_binary64_782`
16×	`add-exp-log_binary64_798` `add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
13×	`add-cbrt-cube_binary64_796`
10×	`associate-l_binary64_701`
9×	`pow1_binary64_821` `times-frac_binary64_766`
6×	`add-log-exp_binary64_799` `prod-exp_binary64_809`
4×	`cbrt-unprod_binary64_793` `unpow-prod-down_binary64_839` `unswap-sqr_binary64_728` `associate-r_binary64_700`
3×	`flip3-+_binary64_763` `flip-+_binary64_734` `associate-/l_binary64_705` `associate-/r_binary64_704` `pow-prod-down_binary64_831`
2×	`associate-/l/_binary64_707` `associate-/r/_binary64_706` `sqr-pow_binary64_732` `*-commutative_binary64_691`
1×	`div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `sum-log_binary64_851` `+-commutative_binary64_690`

Counts

4 → 86

Calls

4 calls:

14.0ms	(/.f64 (+.f64 -1 (.f64 (pow.f64 x 4) 4)) (+.f64 (.f64 2 (*.f64 x x)) 1))
10.0ms	(.f64 2 (.f64 x x))
10.0ms	(*.f64 (pow.f64 x 4) 4)
3.0ms	(+.f64 -1 (*.f64 (pow.f64 x 4) 4))

Compiler

Compiled 2118 to 1621 computations (23.5% saved)

series310.0ms (6.5%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

132.0ms	(/.f64 (+.f64 -1 (.f64 (pow.f64 x 4) 4)) (+.f64 (.f64 2 (*.f64 x x)) 1))
96.0ms	(+.f64 -1 (*.f64 (pow.f64 x 4) 4))
39.0ms	(*.f64 (pow.f64 x 4) 4)
31.0ms	(.f64 2 (.f64 x x))

Compiler

Compiled 560 to 482 computations (13.9% saved)

simplify94.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5272	1556

prune134.0ms (2.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	104	3	107

Error

Counts

107 → 3

Compiler

Compiled 2046 to 1547 computations (24.4% saved)

localize29.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 (.f64 2 (.f64 x x)) 1))
0.1b	(/.f64 1 (sqrt.f64 (+.f64 (.f64 2 (.f64 x x)) 1)))
4.6b	(/.f64 (+.f64 -1 (.f64 4 (pow.f64 x 4))) (sqrt.f64 (+.f64 (.f64 2 (*.f64 x x)) 1)))
6.4b	(.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 2 (.f64 x x)) 1))) (/.f64 (+.f64 -1 (.f64 4 (pow.f64 x 4))) (sqrt.f64 (+.f64 (.f64 2 (.f64 x x)) 1))))

rewrite770.0ms (16%)

Algorithm

1×	rewrite-expression-head

Error

Rules

108×	`add-sqr-sqrt_binary64_782`
94×	`times-frac_binary64_766`
67×	`*-un-lft-identity_binary64_760`
61×	`add-cube-cbrt_binary64_795`
56×	`sqrt-prod_binary64_776`
32×	`add-exp-log_binary64_798`
24×	`associate-l_binary64_701` `associate-r_binary64_700`
20×	`add-cbrt-cube_binary64_796`
15×	`unswap-sqr_binary64_728`
12×	`associate-/r*_binary64_704`
11×	`div-exp_binary64_811`
10×	`sqrt-div_binary64_777`
9×	`pow1_binary64_821`
8×	`prod-exp_binary64_809` `associate-/r/_binary64_706`
6×	`cbrt-undiv_binary64_794` `flip3-+_binary64_763` `flip-+_binary64_734` `associate-/l*_binary64_705`
4×	`add-log-exp_binary64_799` `cbrt-unprod_binary64_793` `div-inv_binary64_757`
3×	`1-exp_binary64_804` `rec-exp_binary64_810` `pow-flip_binary64_834`
2×	`frac-2neg_binary64_771` `clear-num_binary64_759` `associate-/l/_binary64_707` `pow1/2_binary64_840` `sqrt-pow1_binary64_778`
1×	`pow-prod-down_binary64_831` `frac-times_binary64_770` `associate-l/_binary64_703` `associate-r/_binary64_702` `*-commutative_binary64_691` `inv-pow_binary64_845` `rem-sqrt-square_binary64_773`

Counts

4 → 192

Calls

4 calls:

59.0ms	(.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 2 (.f64 x x)) 1))) (/.f64 (+.f64 -1 (.f64 4 (pow.f64 x 4))) (sqrt.f64 (+.f64 (.f64 2 (.f64 x x)) 1))))
22.0ms	(/.f64 (+.f64 -1 (.f64 4 (pow.f64 x 4))) (sqrt.f64 (+.f64 (.f64 2 (*.f64 x x)) 1)))
13.0ms	(/.f64 1 (sqrt.f64 (+.f64 (.f64 2 (.f64 x x)) 1)))
6.0ms	(sqrt.f64 (+.f64 (.f64 2 (.f64 x x)) 1))

Compiler

Compiled 8356 to 6353 computations (24% saved)

series610.0ms (12.7%)

Error

Counts

4 → 42

Calls

4 calls:

194.0ms	(/.f64 (+.f64 -1 (.f64 4 (pow.f64 x 4))) (sqrt.f64 (+.f64 (.f64 2 (*.f64 x x)) 1)))
130.0ms	(/.f64 1 (sqrt.f64 (+.f64 (.f64 2 (.f64 x x)) 1)))
112.0ms	(.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 2 (.f64 x x)) 1))) (/.f64 (+.f64 -1 (.f64 4 (pow.f64 x 4))) (sqrt.f64 (+.f64 (.f64 2 (.f64 x x)) 1))))
91.0ms	(sqrt.f64 (+.f64 (.f64 2 (.f64 x x)) 1))

Compiler

Compiled 2807 to 2421 computations (13.8% saved)

simplify156.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

234 → 234

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5170	7715

prune698.0ms (14.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	234	0	234
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	234	3	237

Error

Counts

237 → 3

Compiler

Compiled 8511 to 6510 computations (23.5% saved)

regimes113.0ms (2.3%)

Accuracy

Total 0.0b remaining (100%)

Threshold costs 0.0b (100%)

Compiler

Compiled 752 to 650 computations (13.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	10
1	18	10

end0.0ms (0%)

sample693.0ms (14.4%)

Algorithm

1×

intervals

Results

189.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 195 to 170 computations (12.8% saved)

Details

analyze116.0ms (2.4%)

sample12.0ms (0.2%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize4.0ms (0.1%)

rewrite48.0ms (1%)

series115.0ms (2.4%)

simplify97.0ms (2%)

prune31.0ms (0.6%)

localize6.0ms (0.1%)

rewrite142.0ms (3%)

series238.0ms (5%)

simplify110.0ms (2.3%)

prune77.0ms (1.6%)

localize11.0ms (0.2%)

rewrite180.0ms (3.8%)

series310.0ms (6.5%)

simplify94.0ms (1.9%)

prune134.0ms (2.8%)

localize29.0ms (0.6%)

rewrite770.0ms (16%)

series610.0ms (12.7%)

simplify156.0ms (3.2%)

prune698.0ms (14.5%)

regimes113.0ms (2.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample693.0ms (14.4%)

Profiling