Details

analyze259.0ms (4.3%)

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)

sample26.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
4.0ms	256×	pre	128	true

Compiler

Compiled 21 to 20 computations (4.8% saved)

simplify76.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (71.0ms)

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))

rewrite46.0ms (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)

series72.0ms (1.2%)

Error

51.8b

Counts

1 → 10

Calls

1 calls:

59.0ms

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

Compiler

Compiled 255 to 188 computations (26.3% saved)

simplify57.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5114	1055

prune43.0ms (0.7%)

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:

0.2b	(/.f64 (-.f64 x lo) hi)

rewrite37.0ms (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)

series89.0ms (1.5%)

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)

simplify89.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5044	599

prune42.0ms (0.7%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	37	13	50
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	38	14	52

Error

51.8b

Counts

52 → 14

Compiler

Compiled 679 to 232 computations (65.8% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (/.f64 (-.f64 x lo) hi))
0.5b	(cbrt.f64 (/.f64 (-.f64 x lo) hi))
0.5b	(cbrt.f64 (/.f64 (-.f64 x lo) hi))
0.5b	(*.f64 (cbrt.f64 (/.f64 (-.f64 x lo) hi)) (cbrt.f64 (/.f64 (-.f64 x lo) hi)))

rewrite236.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

51.8b

Rules

157×	`cbrt-prod_binary64_791`
141×	`add-sqr-sqrt_binary64_782`
135×	`*-un-lft-identity_binary64_760`
123×	`times-frac_binary64_766`
75×	`add-cube-cbrt_binary64_795`
28×	`swap-sqr_binary64_727`
27×	`distribute-lft-out--_binary64_712`
22×	`associate-l_binary64_701` `associate-r_binary64_700`
21×	`difference-of-squares_binary64_729`
11×	`pow1_binary64_821`
9×	`pow1/3_binary64_842` `unswap-sqr_binary64_728`
7×	`cbrt-div_binary64_792` `div-inv_binary64_757`
6×	`add-exp-log_binary64_798`
4×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796`
2×	`pow-prod-down_binary64_831` `pow-prod-up_binary64_830` `pow-sqr_binary64_733`
1×	`pow2_binary64_841` `pow-plus_binary64_823` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `frac-times_binary64_770` `associate-l/_binary64_703` `associate-r/_binary64_702` `*-commutative_binary64_691`

Counts

4 → 186

Calls

4 calls:

25.0ms	(*.f64 (cbrt.f64 (/.f64 (-.f64 x lo) hi)) (cbrt.f64 (/.f64 (-.f64 x lo) hi)))
5.0ms	(cbrt.f64 (/.f64 (-.f64 x lo) hi))
5.0ms	(cbrt.f64 (/.f64 (-.f64 x lo) hi))
5.0ms	(cbrt.f64 (/.f64 (-.f64 x lo) hi))

Compiler

Compiled 5703 to 845 computations (85.2% saved)

series945.0ms (15.5%)

Error

51.8b

Counts

4 → 39

Calls

4 calls:

263.0ms	(*.f64 (cbrt.f64 (/.f64 (-.f64 x lo) hi)) (cbrt.f64 (/.f64 (-.f64 x lo) hi)))
216.0ms	(cbrt.f64 (/.f64 (-.f64 x lo) hi))
213.0ms	(cbrt.f64 (/.f64 (-.f64 x lo) hi))
206.0ms	(cbrt.f64 (/.f64 (-.f64 x lo) hi))

Compiler

Compiled 3467 to 2267 computations (34.6% saved)

simplify140.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

225 → 225

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4970	4509
1	4970	4509

prune190.0ms (3.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	222	3	225
Fresh	12	1	13
Picked	1	0	1
Done	0	0	0
Total	235	4	239

Error

51.8b

Counts

239 → 4

Compiler

Compiled 5948 to 1179 computations (80.2% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(cbrt.f64 hi)
0.4b	(cbrt.f64 hi)
0.5b	(cbrt.f64 (/.f64 (-.f64 x lo) hi))
7.5b	(pow.f64 (-.f64 x lo) 2/3)

rewrite96.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

51.8b

Rules

25×	`add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760` `cbrt-prod_binary64_791`
17×	`add-cube-cbrt_binary64_795`
15×	`times-frac_binary64_766`
5×	`unpow-prod-down_binary64_839` `pow1_binary64_821` `add-exp-log_binary64_798`
4×	`difference-of-squares_binary64_729` `distribute-lft-out--_binary64_712` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796`
3×	`pow-unpow_binary64_837` `pow1/3_binary64_842`
1×	`pow-pow_binary64_832` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `sqr-pow_binary64_732` `cbrt-div_binary64_792` `div-inv_binary64_757`

Counts

4 → 69

Calls

4 calls:

5.0ms	(pow.f64 (-.f64 x lo) 2/3)
5.0ms	(cbrt.f64 (/.f64 (-.f64 x lo) hi))
1.0ms	(cbrt.f64 hi)
1.0ms	(cbrt.f64 hi)

Compiler

Compiled 1695 to 571 computations (66.3% saved)

series447.0ms (7.3%)

Error

51.8b

Counts

4 → 22

Calls

4 calls:

217.0ms	(cbrt.f64 (/.f64 (-.f64 x lo) hi))
73.0ms	(cbrt.f64 hi)
70.0ms	(cbrt.f64 hi)
62.0ms	(pow.f64 (-.f64 x lo) 2/3)

Compiler

Compiled 1655 to 1182 computations (28.6% saved)

simplify83.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4888	993
1	4888	993

prune84.0ms (1.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	88	3	91
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	91	4	95

Error

51.8b

Counts

95 → 4

Compiler

Compiled 1994 to 683 computations (65.7% saved)

regimes693.0ms (11.4%)

Accuracy

Total 0.2b remaining (0.3%)

Threshold costs 0.2b (0.3%)

Compiler

Compiled 9770 to 5344 computations (45.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	6
1	19	6

end0.0ms (0%)

sample2.3s (37.8%)

Algorithm

1×

intervals

Results

178.0ms	8000×	body	128	valid
159.0ms	8000×	pre	128	true

Compiler

Compiled 2450 to 1342 computations (45.2% saved)

Details

analyze259.0ms (4.3%)

sample26.0ms (0.4%)

simplify76.0ms (1.2%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite46.0ms (0.8%)

series72.0ms (1.2%)

simplify57.0ms (0.9%)

prune43.0ms (0.7%)

localize4.0ms (0.1%)

rewrite37.0ms (0.6%)

series89.0ms (1.5%)

simplify89.0ms (1.5%)

prune42.0ms (0.7%)

localize10.0ms (0.2%)

rewrite236.0ms (3.9%)

series945.0ms (15.5%)

simplify140.0ms (2.3%)

prune190.0ms (3.1%)

localize14.0ms (0.2%)

rewrite96.0ms (1.6%)

series447.0ms (7.3%)

simplify83.0ms (1.4%)

prune84.0ms (1.4%)

regimes693.0ms (11.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.3s (37.8%)

Profiling