Details

analyze262.0ms (6.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1723	40
1	1723	40
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample21.0ms (0.5%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
4.0ms	256×	pre	128	true

Compiler

Compiled 21 to 20 computations (4.8% saved)

simplify77.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	1003	10
1	1003	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

62.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

62.0b

(/.f64 (-.f64 x lo) (-.f64 hi lo))

rewrite47.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

62.0b

Rules

37×	`add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
25×	`times-frac_binary64_766`
13×	`add-cube-cbrt_binary64_795`
12×	`difference-of-squares_binary64_729` `distribute-lft-out--_binary64_712`
5×	`associate-/l_binary64_705` `associate-/r_binary64_704`
3×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
2×	`flip3--_binary64_764` `associate-/l/_binary64_707` `flip--_binary64_735` `associate-/r/_binary64_706`
1×	`pow1_binary64_821` `div-exp_binary64_811` `add-log-exp_binary64_799` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759` `div-inv_binary64_757`

Counts

1 → 52

Calls

1 calls:

9.0ms

(/.f64 (-.f64 x lo) (-.f64 hi lo))

Compiler

Compiled 844 to 193 computations (77.1% saved)

series68.0ms (1.6%)

Error

51.8b

Counts

1 → 10

Calls

1 calls:

57.0ms

(/.f64 (-.f64 x lo) (-.f64 hi lo))

Compiler

Compiled 255 to 188 computations (26.3% saved)

simplify58.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5114	1055

prune39.0ms (0.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	60	2	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	2	63

Error

51.8b

Counts

63 → 2

Compiler

Compiled 842 to 177 computations (79% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 x lo) hi)

rewrite37.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

51.8b

Rules

19×	`add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
15×	`times-frac_binary64_766`
11×	`add-cube-cbrt_binary64_795`
5×	`associate-/l*_binary64_705`
4×	`difference-of-squares_binary64_729` `distribute-lft-out--_binary64_712`
3×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `associate-/r*_binary64_704`
2×	`associate-/l/_binary64_707`
1×	`pow1_binary64_821` `div-exp_binary64_811` `add-log-exp_binary64_799` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759` `div-inv_binary64_757` `flip3--_binary64_764` `flip--_binary64_735`

Counts

1 → 38

Calls

1 calls:

6.0ms

(/.f64 (-.f64 x lo) hi)

Compiler

Compiled 476 to 136 computations (71.4% saved)

series91.0ms (2.1%)

Error

51.8b

Counts

1 → 12

Calls

1 calls:

85.0ms

(/.f64 (-.f64 x lo) hi)

Compiler

Compiled 183 to 136 computations (25.7% saved)

simplify87.0ms (2%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5044	599

prune44.0ms (1%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	35	15	50
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	36	16	52

Error

51.8b

Counts

52 → 16

Compiler

Compiled 696 to 244 computations (64.9% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 x lo) hi)
0.1b	(sqrt.f64 (/.f64 (-.f64 x lo) hi))
0.1b	(sqrt.f64 (/.f64 (-.f64 x lo) hi))
0.5b	(*.f64 (sqrt.f64 (/.f64 (-.f64 x lo) hi)) (sqrt.f64 (/.f64 (-.f64 x lo) hi)))

rewrite227.0ms (5.3%)

Algorithm

1×	rewrite-expression-head

Error

51.8b

Rules

160×	`add-sqr-sqrt_binary64_782`
140×	`sqrt-prod_binary64_776`
138×	`*-un-lft-identity_binary64_760`
127×	`times-frac_binary64_766`
76×	`add-cube-cbrt_binary64_795`
30×	`swap-sqr_binary64_727`
28×	`distribute-lft-out--_binary64_712`
22×	`difference-of-squares_binary64_729` `associate-l_binary64_701` `associate-r_binary64_700`
21×	`pow1_binary64_821`
10×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778`
9×	`unswap-sqr_binary64_728`
8×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `rem-sqrt-square_binary64_773`
7×	`div-inv_binary64_757`
6×	`sqrt-div_binary64_777`
5×	`pow-prod-up_binary64_830` `associate-/l*_binary64_705`
4×	`add-log-exp_binary64_799`
3×	`pow-prod-down_binary64_831` `pow-sqr_binary64_733` `associate-/r*_binary64_704`
2×	`sqr-abs_binary64_775` `associate-/l/_binary64_707`
1×	`pow2_binary64_841` `pow-plus_binary64_823` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `sqrt-unprod_binary64_780` `rem-square-sqrt_binary64_772` `frac-times_binary64_770` `associate-l/_binary64_703` `associate-r/_binary64_702` `*-commutative_binary64_691` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759` `flip3--_binary64_764` `flip--_binary64_735`

Counts

4 → 213

Calls

4 calls:

28.0ms	(*.f64 (sqrt.f64 (/.f64 (-.f64 x lo) hi)) (sqrt.f64 (/.f64 (-.f64 x lo) hi)))
6.0ms	(/.f64 (-.f64 x lo) hi)
6.0ms	(sqrt.f64 (/.f64 (-.f64 x lo) hi))
6.0ms	(sqrt.f64 (/.f64 (-.f64 x lo) hi))

Compiler

Compiled 4856 to 827 computations (83% saved)

series355.0ms (8.3%)

Error

51.8b

Counts

4 → 41

Calls

4 calls:

103.0ms	(*.f64 (sqrt.f64 (/.f64 (-.f64 x lo) hi)) (sqrt.f64 (/.f64 (-.f64 x lo) hi)))
85.0ms	(/.f64 (-.f64 x lo) hi)
77.0ms	(sqrt.f64 (/.f64 (-.f64 x lo) hi))
72.0ms	(sqrt.f64 (/.f64 (-.f64 x lo) hi))

Compiler

Compiled 1864 to 1178 computations (36.8% saved)

simplify99.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

254 → 254

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5022	3682

prune172.0ms (4%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	247	7	254
Fresh	2	13	15
Picked	0	1	1
Done	0	0	0
Total	249	21	270

Error

51.8b

Counts

270 → 21

Compiler

Compiled 4470 to 818 computations (81.7% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(cbrt.f64 (-.f64 x lo))
0.4b	(cbrt.f64 (-.f64 x lo))
0.4b	(cbrt.f64 (-.f64 x lo))
0.6b	(*.f64 (cbrt.f64 (-.f64 x lo)) (cbrt.f64 (-.f64 x lo)))

rewrite114.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

51.8b

Rules

43×	`cbrt-prod_binary64_791`
37×	`add-sqr-sqrt_binary64_782`
35×	`*-un-lft-identity_binary64_760`
18×	`cbrt-div_binary64_792`
15×	`add-cube-cbrt_binary64_795`
11×	`pow1_binary64_821`
10×	`swap-sqr_binary64_727`
9×	`pow1/3_binary64_842` `flip3--_binary64_764` `flip--_binary64_735` `distribute-lft-out--_binary64_712`
8×	`associate-l_binary64_701` `associate-r_binary64_700`
7×	`difference-of-squares_binary64_729`
6×	`add-exp-log_binary64_798`
4×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `frac-times_binary64_770` `unswap-sqr_binary64_728`
2×	`pow-prod-down_binary64_831` `pow-prod-up_binary64_830` `pow-sqr_binary64_733` `associate-l/_binary64_703` `associate-r/_binary64_702`
1×	`pow2_binary64_841` `pow-plus_binary64_823` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `*-commutative_binary64_691`

Counts

4 → 101

Calls

4 calls:

13.0ms	(*.f64 (cbrt.f64 (-.f64 x lo)) (cbrt.f64 (-.f64 x lo)))
3.0ms	(cbrt.f64 (-.f64 x lo))
3.0ms	(cbrt.f64 (-.f64 x lo))
3.0ms	(cbrt.f64 (-.f64 x lo))

Compiler

Compiled 2422 to 421 computations (82.6% saved)

series245.0ms (5.8%)

Error

51.8b

Counts

4 → 24

Calls

4 calls:

59.0ms	(*.f64 (cbrt.f64 (-.f64 x lo)) (cbrt.f64 (-.f64 x lo)))
59.0ms	(cbrt.f64 (-.f64 x lo))
55.0ms	(cbrt.f64 (-.f64 x lo))
51.0ms	(cbrt.f64 (-.f64 x lo))

Compiler

Compiled 1490 to 1014 computations (31.9% saved)

simplify74.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4901	1567
1	4901	1567

prune90.0ms (2.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	123	2	125
Fresh	18	1	19
Picked	1	0	1
Done	1	0	1
Total	143	3	146

Error

51.8b

Counts

146 → 3

Compiler

Compiled 2500 to 501 computations (80% saved)

regimes437.0ms (10.3%)

Accuracy

Total 0.2b remaining (0.3%)

Threshold costs 0.2b (0.3%)

Compiler

Compiled 5518 to 2976 computations (46.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	18
1	22	18

end0.0ms (0%)

sample1.6s (37.3%)

Algorithm

1×

intervals

Results

191.0ms	8000×	body	128	valid
143.0ms	8000×	pre	128	true

Compiler

Compiled 1395 to 754 computations (45.9% saved)

Details

analyze262.0ms (6.2%)

sample21.0ms (0.5%)

simplify77.0ms (1.8%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite47.0ms (1.1%)

series68.0ms (1.6%)

simplify58.0ms (1.4%)

prune39.0ms (0.9%)

localize4.0ms (0.1%)

rewrite37.0ms (0.9%)

series91.0ms (2.1%)

simplify87.0ms (2%)

prune44.0ms (1%)

localize6.0ms (0.1%)

rewrite227.0ms (5.3%)

series355.0ms (8.3%)

simplify99.0ms (2.3%)

prune172.0ms (4%)

localize8.0ms (0.2%)

rewrite114.0ms (2.7%)

series245.0ms (5.8%)

simplify74.0ms (1.7%)

prune90.0ms (2.1%)

regimes437.0ms (10.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.6s (37.3%)

Profiling