Details

analyze309.0ms (5.2%)

Algorithm

2×	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%	0
0%	0%	100%	1
0%	0%	100%	1

Compiler

Compiled 28 to 22 computations (21.4% saved)

sample111.0ms (1.9%)

Algorithm

2×

intervals

Results

12.0ms	512×	body	128	valid
9.0ms	512×	pre	128	true

Compiler

Compiled 3619 to 3618 computations (0% saved)

simplify77.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (68.0ms)

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))

rewrite50.0ms (0.8%)

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)

series98.0ms (1.6%)

Error

51.8b

Counts

1 → 10

Calls

1 calls:

87.0ms

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

Compiler

Compiled 255 to 188 computations (26.3% saved)

simplify56.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5114	1055

prune49.0ms (0.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	59	3	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	3	63

Error

51.8b

Counts

63 → 3

Compiler

Compiled 847 to 183 computations (78.4% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite38.0ms (0.6%)

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)

series133.0ms (2.2%)

Error

51.8b

Counts

1 → 12

Calls

1 calls:

128.0ms

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

Compiler

Compiled 183 to 136 computations (25.7% saved)

simplify82.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5044	599

prune49.0ms (0.8%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	37	13	50
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	38	15	53

Error

51.8b

Counts

53 → 15

Compiler

Compiled 675 to 234 computations (65.3% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 x lo) hi)
0.3b	(log.f64 (exp.f64 (/.f64 (-.f64 x lo) hi)))
0.3b	(exp.f64 (/.f64 (-.f64 x lo) hi))

rewrite118.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

51.8b

Rules

52×	`add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
45×	`times-frac_binary64_766`
38×	`exp-prod_binary64_812`
32×	`add-cube-cbrt_binary64_795`
20×	`log-pow_binary64_849`
10×	`difference-of-squares_binary64_729` `distribute-lft-out--_binary64_712`
5×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `associate-/l*_binary64_705`
4×	`pow1_binary64_821` `add-log-exp_binary64_799`
3×	`div-inv_binary64_757` `div-sub_binary64_765` `log-prod_binary64_846` `associate-/r*_binary64_704`
2×	`exp-diff_binary64_808` `associate-/l/_binary64_707`
1×	`rem-exp-log_binary64_800` `log-div_binary64_847` `rem-log-exp_binary64_801` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `flip3--_binary64_764` `flip--_binary64_735`

Counts

3 → 98

Calls

3 calls:

7.0ms	(log.f64 (exp.f64 (/.f64 (-.f64 x lo) hi)))
6.0ms	(exp.f64 (/.f64 (-.f64 x lo) hi))
6.0ms	(/.f64 (-.f64 x lo) hi)

Compiler

Compiled 1471 to 414 computations (71.9% saved)

series884.0ms (14.9%)

Error

50.8b

Counts

3 → 34

Calls

3 calls:

667.0ms	(log.f64 (exp.f64 (/.f64 (-.f64 x lo) hi)))
114.0ms	(/.f64 (-.f64 x lo) hi)
84.0ms	(exp.f64 (/.f64 (-.f64 x lo) hi))

Compiler

Compiled 792 to 582 computations (26.5% saved)

simplify62.0ms (1%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5458	1448

prune90.0ms (1.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	130	2	132
Fresh	14	0	14
Picked	1	0	1
Done	0	0	0
Total	145	2	147

Error

50.8b

Counts

147 → 2

Compiler

Compiled 1534 to 356 computations (76.8% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 1 (/.f64 lo hi)) (exp.f64 (/.f64 x hi)))
0.2b	(-.f64 1 (/.f64 lo hi))
0.4b	(log.f64 (*.f64 (-.f64 1 (/.f64 lo hi)) (exp.f64 (/.f64 x hi))))

rewrite127.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

50.8b

Rules

30×	`add-sqr-sqrt_binary64_782`
20×	`*-un-lft-identity_binary64_760`
13×	`times-frac_binary64_766` `cancel-sign-sub-inv_binary64_726`
12×	`add-cube-cbrt_binary64_795`
8×	`pow1_binary64_821` `difference-of-squares_binary64_729` `associate-l_binary64_701`
6×	`add-exp-log_binary64_798`
5×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796`
4×	`associate-*l/_binary64_703`
3×	`flip3--_binary64_764` `flip--_binary64_735` `associate-r_binary64_700`
2×	`pow-prod-down_binary64_831` `log-pow_binary64_849` `log-div_binary64_847` `prod-exp_binary64_809` `rem-log-exp_binary64_801` `distribute-lft-out--_binary64_712`
1×	`log-prod_binary64_846` `diff-log_binary64_852` `sub-neg_binary64_753` `div-inv_binary64_757` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `*-commutative_binary64_691`

Counts

3 → 68

Calls

3 calls:

15.0ms	(*.f64 (-.f64 1 (/.f64 lo hi)) (exp.f64 (/.f64 x hi)))
13.0ms	(log.f64 (*.f64 (-.f64 1 (/.f64 lo hi)) (exp.f64 (/.f64 x hi))))
10.0ms	(-.f64 1 (/.f64 lo hi))

Compiler

Compiled 1331 to 581 computations (56.3% saved)

series568.0ms (9.5%)

Error

50.8b

Counts

3 → 39

Calls

3 calls:

238.0ms	(log.f64 (*.f64 (-.f64 1 (/.f64 lo hi)) (exp.f64 (/.f64 x hi))))
222.0ms	(*.f64 (-.f64 1 (/.f64 lo hi)) (exp.f64 (/.f64 x hi)))
83.0ms	(-.f64 1 (/.f64 lo hi))

Compiler

Compiled 1173 to 805 computations (31.4% saved)

simplify71.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4944	1381
1	4944	1381

prune97.0ms (1.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	96	11	107
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	98	11	109

Error

50.8b

Counts

109 → 11

Compiler

Compiled 1456 to 589 computations (59.5% saved)

regimes678.0ms (11.4%)

Accuracy

Total 0.0b remaining (0.1%)

Threshold costs 0.0b (0.1%)

Compiler

Compiled 6846 to 4716 computations (31.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	55
1	32	55

end0.0ms (0%)

sample2.2s (36.6%)

Algorithm

1×

intervals

Results

196.0ms	8000×	body	128	valid
148.0ms	8000×	pre	128	true

Compiler

Compiled 1750 to 1202 computations (31.3% saved)

Details

analyze309.0ms (5.2%)

sample111.0ms (1.9%)

simplify77.0ms (1.3%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite50.0ms (0.8%)

series98.0ms (1.6%)

simplify56.0ms (0.9%)

prune49.0ms (0.8%)

localize4.0ms (0.1%)

rewrite38.0ms (0.6%)

series133.0ms (2.2%)

simplify82.0ms (1.4%)

prune49.0ms (0.8%)

localize7.0ms (0.1%)

rewrite118.0ms (2%)

series884.0ms (14.9%)

simplify62.0ms (1%)

prune90.0ms (1.5%)

localize9.0ms (0.1%)

rewrite127.0ms (2.1%)

series568.0ms (9.5%)

simplify71.0ms (1.2%)

prune97.0ms (1.6%)

regimes678.0ms (11.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.2s (36.6%)

Profiling