Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample27.0ms (0.6%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
4.0ms	256×	pre	128	true

Compiler

Compiled 21 to 20 computations (4.8% saved)

simplify161.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (73.0ms)

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))

rewrite45.0ms (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)

series66.0ms (1.4%)

Error

51.8b

Counts

1 → 10

Calls

1 calls:

55.0ms

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

Compiler

Compiled 255 to 188 computations (26.3% saved)

simplify57.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5114	1055

prune40.0ms (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 846 to 179 computations (78.8% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite36.0ms (0.8%)

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)

series116.0ms (2.5%)

Error

51.8b

Counts

1 → 15

Calls

1 calls:

109.0ms

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

Compiler

Compiled 225 to 154 computations (31.6% saved)

simplify87.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5044	620

prune48.0ms (1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	40	13	53
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	41	14	55

Error

51.8b

Counts

55 → 14

Compiler

Compiled 697 to 230 computations (67% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite147.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

51.8b

Rules

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

Counts

4 → 126

Calls

4 calls:

12.0ms	(*.f64 (cbrt.f64 (-.f64 x lo)) (cbrt.f64 (-.f64 x lo)))
6.0ms	(*.f64 (cbrt.f64 hi) (cbrt.f64 hi))
3.0ms	(cbrt.f64 (-.f64 x lo))
3.0ms	(cbrt.f64 (-.f64 x lo))

Compiler

Compiled 3822 to 617 computations (83.9% saved)

series292.0ms (6.4%)

Error

51.8b

Counts

4 → 21

Calls

4 calls:

88.0ms	(*.f64 (cbrt.f64 hi) (cbrt.f64 hi))
71.0ms	(*.f64 (cbrt.f64 (-.f64 x lo)) (cbrt.f64 (-.f64 x lo)))
58.0ms	(cbrt.f64 (-.f64 x lo))
55.0ms	(cbrt.f64 (-.f64 x lo))

Compiler

Compiled 1692 to 995 computations (41.2% saved)

simplify85.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5144	1714

prune130.0ms (2.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	144	3	147
Fresh	11	2	13
Picked	1	0	1
Done	0	0	0
Total	156	5	161

Error

51.8b

Counts

161 → 5

Compiler

Compiled 3993 to 724 computations (81.9% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (pow.f64 (-.f64 x lo) 2/3) (*.f64 (cbrt.f64 hi) (cbrt.f64 hi)))
0.4b	(cbrt.f64 (-.f64 x lo))
0.6b	(*.f64 (cbrt.f64 hi) (cbrt.f64 hi))
7.3b	(pow.f64 (-.f64 x lo) 2/3)

rewrite145.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

51.8b

Rules

35×	`add-sqr-sqrt_binary64_782`
27×	`*-un-lft-identity_binary64_760`
21×	`cbrt-prod_binary64_791`
20×	`add-exp-log_binary64_798`
19×	`add-cube-cbrt_binary64_795`
15×	`unpow-prod-down_binary64_839`
12×	`pow1_binary64_821`
9×	`times-frac_binary64_766` `associate-/l*_binary64_705`
7×	`add-cbrt-cube_binary64_796` `pow1/3_binary64_842`
6×	`swap-sqr_binary64_727` `associate-l_binary64_701` `associate-r_binary64_700` `div-exp_binary64_811`
4×	`difference-of-squares_binary64_729` `distribute-lft-out--_binary64_712` `add-log-exp_binary64_799` `prod-exp_binary64_809` `unswap-sqr_binary64_728`
3×	`pow-unpow_binary64_837` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `sqr-pow_binary64_732`
2×	`pow-prod-down_binary64_831` `pow-prod-up_binary64_830` `cbrt-unprod_binary64_793` `pow-sqr_binary64_733` `cbrt-div_binary64_792` `cbrt-undiv_binary64_794`
1×	`pow-pow_binary64_832` `pow2_binary64_841` `pow-plus_binary64_823` `-commutative_binary64_691` `flip3--_binary64_764` `flip--_binary64_735` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757` `associate-/r_binary64_704`

Counts

4 → 111

Calls

4 calls:

10.0ms	(/.f64 (pow.f64 (-.f64 x lo) 2/3) (*.f64 (cbrt.f64 hi) (cbrt.f64 hi)))
7.0ms	(*.f64 (cbrt.f64 hi) (cbrt.f64 hi))
5.0ms	(pow.f64 (-.f64 x lo) 2/3)
3.0ms	(cbrt.f64 (-.f64 x lo))

Compiler

Compiled 2824 to 844 computations (70.1% saved)

series505.0ms (11%)

Error

51.8b

Counts

4 → 24

Calls

4 calls:

273.0ms	(/.f64 (pow.f64 (-.f64 x lo) 2/3) (*.f64 (cbrt.f64 hi) (cbrt.f64 hi)))
94.0ms	(*.f64 (cbrt.f64 hi) (cbrt.f64 hi))
58.0ms	(pow.f64 (-.f64 x lo) 2/3)
52.0ms	(cbrt.f64 (-.f64 x lo))

Compiler

Compiled 1819 to 1322 computations (27.3% saved)

simplify64.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5105	1622

prune120.0ms (2.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	127	8	135
Fresh	3	1	4
Picked	1	0	1
Done	0	0	0
Total	131	9	140

Error

51.8b

Counts

140 → 9

Compiler

Compiled 2982 to 875 computations (70.7% saved)

regimes489.0ms (10.7%)

Accuracy

Total 0.2b remaining (0.3%)

Threshold costs 0.2b (0.3%)

Compiler

Compiled 5662 to 3648 computations (35.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	44
1	28	44

end0.0ms (0%)

sample1.9s (41%)

Algorithm

1×

intervals

Results

191.0ms	8000×	body	128	valid
154.0ms	8000×	pre	128	true

Compiler

Compiled 1447 to 931 computations (35.7% saved)

Details

analyze3.0ms (0.1%)

sample27.0ms (0.6%)

simplify161.0ms (3.5%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite45.0ms (1%)

series66.0ms (1.4%)

simplify57.0ms (1.2%)

prune40.0ms (0.9%)

localize4.0ms (0.1%)

rewrite36.0ms (0.8%)

series116.0ms (2.5%)

simplify87.0ms (1.9%)

prune48.0ms (1%)

localize11.0ms (0.3%)

rewrite147.0ms (3.2%)

series292.0ms (6.4%)

simplify85.0ms (1.9%)

prune130.0ms (2.8%)

localize14.0ms (0.3%)

rewrite145.0ms (3.2%)

series505.0ms (11%)

simplify64.0ms (1.4%)

prune120.0ms (2.6%)

regimes489.0ms (10.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.9s (41%)

Profiling