Details

analyze1.0s (0.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	84
1	60	84
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	93.6%	6.4%	7
3.1%	84.2%	12.7%	8
12.5%	67.1%	20.5%	9
16%	63.5%	20.5%	10
17.9%	57.7%	24.4%	11
22.6%	48.7%	28.7%	12
28.7%	37.8%	33.6%	13
30.4%	35.9%	33.7%	14

Symmetry

(sort V l)

Compiler

Compiled 9 to 9 computations (0% saved)

sample3.4s (2.6%)

Algorithm

1×

intervals

Results

16.0ms	254×	body	128	nan
11.0ms	256×	body	128	valid
2.0ms	31×	body	128	invalid

Compiler

Compiled 4886 to 7054 computations (-44.4% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	12
1	15	12

prune3.0ms (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

19.3b

Counts

2 → 1

Compiler

Compiled 16 to 16 computations (0% saved)

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

0.9b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
6.8b	(/.f64 A (*.f64 V l))
15.4b	(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite93.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Error

8.2b

Rules

16×	`add-sqr-sqrt_binary64_782`
15×	`sqrt-prod_binary64_776`
11×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
10×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `associate-r_binary64_700`
9×	`times-frac_binary64_766`
6×	`pow1_binary64_821`
3×	`add-log-exp_binary64_799` `div-inv_binary64_757` `associate-/l_binary64_705` `associate-l*_binary64_701`
2×	`sqrt-div_binary64_777` `prod-exp_binary64_809` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728`
1×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773` `frac-2neg_binary64_771` `clear-num_binary64_759` `associate-/r_binary64_704` `pow-prod-down_binary64_831` `associate-r/_binary64_702` `*-commutative_binary64_691`

Counts

3 → 66

Calls

3 calls:

8.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
4.0ms	(/.f64 A (*.f64 V l))
4.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

Compiler

Compiled 937 to 244 computations (74% saved)

series502.0ms (0.4%)

Error

19.3b

Counts

3 → 30

Calls

3 calls:

228.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
162.0ms	(/.f64 A (*.f64 V l))
96.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

Compiler

Compiled 1032 to 758 computations (26.6% saved)

simplify77.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4894	1105
1	4894	1105

prune101.0ms (0.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	83	13	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	13	97

Error

8.2b

Counts

97 → 13

Compiler

Compiled 1258 to 365 computations (71% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 A)
0.9b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
3.1b	(.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))
15.4b	(sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))

rewrite165.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Error

4.7b

Rules

40×	`add-sqr-sqrt_binary64_782`
28×	`times-frac_binary64_766`
27×	`add-exp-log_binary64_798`
26×	`associate-r_binary64_700`
22×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
20×	`add-cbrt-cube_binary64_796`
14×	`cbrt-prod_binary64_791`
11×	`pow1_binary64_821`
10×	`associate-l_binary64_701`
9×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793`
7×	`div-exp_binary64_811` `cbrt-undiv_binary64_794` `unswap-sqr_binary64_728`
6×	`sqrt-div_binary64_777` `associate-*r/_binary64_702`
4×	`add-log-exp_binary64_799`
3×	`pow-prod-down_binary64_831` `frac-times_binary64_770` `associate-*l/_binary64_703`
2×	`sqrt-pow1_binary64_778` `sqrt-prod_binary64_776` `div-inv_binary64_757` `*-commutative_binary64_691`
1×	`pow1/2_binary64_840` `pow1/3_binary64_842`

Counts

4 → 106

Calls

4 calls:

14.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))
12.0ms	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
8.0ms	(sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))
1.0ms	(cbrt.f64 A)

Compiler

Compiled 2506 to 501 computations (80% saved)

series724.0ms (0.6%)

Error

8.2b

Counts

4 → 33

Calls

4 calls:

256.0ms	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
208.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))
122.0ms	(sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))
120.0ms	(cbrt.f64 A)

Compiler

Compiled 1252 to 940 computations (24.9% saved)

simplify82.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5074	1761

prune126.0ms (0.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	136	3	139
Fresh	6	6	12
Picked	0	1	1
Done	0	0	0
Total	142	10	152

Error

4.7b

Counts

152 → 10

Compiler

Compiled 2162 to 667 computations (69.1% saved)

localize10.0ms (0%)

Local error

Found 3 expressions with local error:

0.9b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
4.9b	(*.f64 (/.f64 1 V) (/.f64 A l))
15.4b	(sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))

rewrite132.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Error

4.7b

Rules

38×	`add-sqr-sqrt_binary64_782`
27×	`add-exp-log_binary64_798`
25×	`times-frac_binary64_766`
21×	`*-un-lft-identity_binary64_760`
19×	`add-cube-cbrt_binary64_795`
17×	`add-cbrt-cube_binary64_796` `associate-r_binary64_700`
16×	`associate-l_binary64_701`
10×	`pow1_binary64_821`
9×	`prod-exp_binary64_809`
8×	`div-exp_binary64_811`
7×	`unswap-sqr_binary64_728`
6×	`sqrt-div_binary64_777` `associate-*r/_binary64_702`
5×	`cbrt-unprod_binary64_793`
4×	`cbrt-undiv_binary64_794`
3×	`add-log-exp_binary64_799` `pow-prod-down_binary64_831` `frac-times_binary64_770` `associate-*l/_binary64_703`
2×	`sqrt-pow1_binary64_778` `sqrt-prod_binary64_776` `1-exp_binary64_804` `rec-exp_binary64_810` `div-inv_binary64_757` `*-commutative_binary64_691`
1×	`pow1/2_binary64_840`

Counts

3 → 92

Calls

3 calls:

14.0ms	(*.f64 (/.f64 1 V) (/.f64 A l))
9.0ms	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
5.0ms	(sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))

Compiler

Compiled 1585 to 849 computations (46.4% saved)

series490.0ms (0.4%)

Error

4.7b

Counts

3 → 30

Calls

3 calls:

210.0ms	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
167.0ms	(*.f64 (/.f64 1 V) (/.f64 A l))
100.0ms	(sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))

Compiler

Compiled 1032 to 758 computations (26.6% saved)

simplify86.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5198	1376

prune94.0ms (0.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	121	11	132

Error

4.7b

Counts

132 → 11

Compiler

Compiled 1614 to 548 computations (66% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

12.7b	(cbrt.f64 (/.f64 A l))
12.7b	(cbrt.f64 (/.f64 A l))
12.7b	(cbrt.f64 (/.f64 A l))
15.4b	(sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 A l)) (cbrt.f64 (/.f64 A l))) V) (cbrt.f64 (/.f64 A l))))

rewrite114.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Error

4.7b

Rules

39×	`cbrt-prod_binary64_791`
27×	`times-frac_binary64_766`
25×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
7×	`pow1_binary64_821`
5×	`cbrt-div_binary64_792`
4×	`add-log-exp_binary64_799` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
3×	`sqrt-div_binary64_777` `pow1/3_binary64_842` `div-inv_binary64_757`
2×	`sqrt-pow1_binary64_778`
1×	`pow1/2_binary64_840` `pow-prod-down_binary64_831` `frac-times_binary64_770` `associate-l/_binary64_703` `associate-r/_binary64_702` `sqrt-prod_binary64_776`

Counts

4 → 80

Calls

4 calls:

14.0ms	(sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 A l)) (cbrt.f64 (/.f64 A l))) V) (cbrt.f64 (/.f64 A l))))
2.0ms	(cbrt.f64 (/.f64 A l))
2.0ms	(cbrt.f64 (/.f64 A l))
2.0ms	(cbrt.f64 (/.f64 A l))

Compiler

Compiled 2096 to 500 computations (76.1% saved)

series1.1s (0.8%)

Error

4.7b

Counts

4 → 27

Calls

4 calls:

300.0ms	(cbrt.f64 (/.f64 A l))
299.0ms	(cbrt.f64 (/.f64 A l))
293.0ms	(cbrt.f64 (/.f64 A l))
133.0ms	(sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 A l)) (cbrt.f64 (/.f64 A l))) V) (cbrt.f64 (/.f64 A l))))

Compiler

Compiled 1825 to 1292 computations (29.2% saved)

simplify104.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4886	1208
1	4886	1208

prune104.0ms (0.1%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	107	11	118

Error

4.7b

Counts

118 → 11

Compiler

Compiled 2280 to 560 computations (75.4% saved)

regimes1.4s (1.1%)

Accuracy

Total 3.9b remaining (41.1%)

Threshold costs 0b (0%)

Compiler

Compiled 9783 to 6618 computations (32.4% saved)

bsearch2.0ms (0%)

Compiler: Compiled 3 to 5 computations (-66.7% saved)

simplify15.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	111
1	51	111

Compiler

Compiled 146 to 84 computations (42.5% saved)

end0.0ms (0%)

sample2.0min (92.3%)

Algorithm

1×

intervals

Results

573.0ms	8849×	body	128	nan
364.0ms	8000×	body	128	valid
59.0ms	952×	body	128	invalid

Compiler

Compiled 161334 to 232174 computations (-43.9% saved)

Details

analyze1.0s (0.8%)

sample3.4s (2.6%)

simplify7.0ms (0%)

prune3.0ms (0%)

localize8.0ms (0%)

rewrite93.0ms (0.1%)

series502.0ms (0.4%)

simplify77.0ms (0.1%)

prune101.0ms (0.1%)

localize14.0ms (0%)

rewrite165.0ms (0.1%)

series724.0ms (0.6%)

simplify82.0ms (0.1%)

prune126.0ms (0.1%)

localize10.0ms (0%)

rewrite132.0ms (0.1%)

series490.0ms (0.4%)

simplify86.0ms (0.1%)

prune94.0ms (0.1%)

localize13.0ms (0%)

rewrite114.0ms (0.1%)

series1.1s (0.8%)

simplify104.0ms (0.1%)

prune104.0ms (0.1%)

regimes1.4s (1.1%)

bsearch2.0ms (0%)

simplify15.0ms (0%)

end0.0ms (0%)

sample2.0min (92.3%)

Profiling