Details

analyze448.0ms (8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5856	32
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	12.5%	87.5%	0
0%	12.5%	87.5%	1
0%	12.5%	87.5%	2
3.1%	9.3%	87.5%	3
3.1%	6.2%	90.7%	4
4.7%	4.7%	90.7%	5
4.7%	3.5%	91.8%	6
5.6%	2.5%	91.8%	7
5.9%	1.8%	92.3%	8
6.4%	1.3%	92.3%	9
6.6%	0.9%	92.5%	10
6.8%	0.6%	92.5%	11
6.9%	0.5%	92.6%	12
7%	0.3%	92.6%	13
7.1%	0.2%	92.7%	14

Compiler

Compiled 21 to 16 computations (23.8% saved)

sample23.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
5.0ms	258×	pre	128	true
0.0ms	2×	body	128	invalid

Compiler

Compiled 32 to 27 computations (15.6% saved)

simplify126.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	4740	16
1	4740	16

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.2b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 m (-.f64 1 m))
0.0b	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

rewrite115.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`add-sqr-sqrt_binary64_782`
17×	`*-un-lft-identity_binary64_760`
12×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
11×	`add-cube-cbrt_binary64_795`
10×	`associate-l_binary64_701`
9×	`associate-r_binary64_700`
7×	`pow1_binary64_821`
6×	`cancel-sign-sub-inv_binary64_726`
4×	`difference-of-squares_binary64_729` `associate-*r/_binary64_702` `distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709`
3×	`prod-exp_binary64_809` `add-log-exp_binary64_799` `cbrt-unprod_binary64_793` `flip3--_binary64_764` `flip--_binary64_735` `times-frac_binary64_766` `associate-/r*_binary64_704`
2×	`pow-prod-down_binary64_831` `unswap-sqr_binary64_728` `associate-l/_binary64_703` `distribute-lft-out--_binary64_712` `-commutative_binary64_691` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `associate-/l/_binary64_707` `sub-neg_binary64_753`
1×	`difference-of-sqr-1_binary64_730` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757` `associate-/l*_binary64_705`

Counts

3 → 78

Calls

3 calls:

15.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
8.0ms	(*.f64 m (-.f64 1 m))
7.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

Compiler

Compiled 1467 to 952 computations (35.1% saved)

series322.0ms (5.8%)

Error

0.1b

Counts

3 → 30

Calls

3 calls:

166.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
97.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
38.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 793 to 594 computations (25.1% saved)

simplify53.0ms (1%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5040	1287

prune89.0ms (1.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	101	7	108
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	101	8	109

Error

0.0b

Counts

109 → 8

Compiler

Compiled 1688 to 778 computations (53.9% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 1 m) v)
0.1b	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
0.3b	(*.f64 m (/.f64 (-.f64 1 m) v))

rewrite132.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

55×	`add-sqr-sqrt_binary64_782`
48×	`*-un-lft-identity_binary64_760`
37×	`times-frac_binary64_766`
27×	`add-cube-cbrt_binary64_795`
25×	`associate-r_binary64_700`
14×	`difference-of-squares_binary64_729`
12×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
7×	`pow1_binary64_821` `distribute-lft-out--_binary64_712`
6×	`associate-l_binary64_701` `associate-/l*_binary64_705`
3×	`prod-exp_binary64_809` `add-log-exp_binary64_799` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `associate-/r*_binary64_704`
2×	`pow-prod-down_binary64_831` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `div-inv_binary64_757` `-commutative_binary64_691` `flip3--_binary64_764` `associate-l/_binary64_703` `flip--_binary64_735` `associate-/l/_binary64_707`
1×	`associate-*r/_binary64_702` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759`

Counts

3 → 103

Calls

3 calls:

13.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
11.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))
6.0ms	(/.f64 (-.f64 1 m) v)

Compiler

Compiled 2026 to 1290 computations (36.3% saved)

series351.0ms (6.3%)

Error

0.0b

Counts

3 → 33

Calls

3 calls:

168.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
93.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))
69.0ms	(/.f64 (-.f64 1 m) v)

Compiler

Compiled 920 to 680 computations (26.1% saved)

simplify64.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5337	1804

prune112.0ms (2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	136	8	144

Error

0.0b

Counts

144 → 8

Compiler

Compiled 2277 to 1280 computations (43.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 m (*.f64 m m))
0.0b	(/.f64 (-.f64 m (*.f64 m m)) v)
0.2b	(.f64 (+.f64 -1 (/.f64 (-.f64 m (.f64 m m)) v)) (sqrt.f64 m))
0.4b	(.f64 (.f64 (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)) (sqrt.f64 m)) (sqrt.f64 m))

rewrite129.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`add-sqr-sqrt_binary64_782`
26×	`*-un-lft-identity_binary64_760`
19×	`add-cube-cbrt_binary64_795`
15×	`times-frac_binary64_766`
13×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
12×	`associate-r_binary64_700`
11×	`pow1_binary64_821`
7×	`sqrt-prod_binary64_776`
6×	`add-log-exp_binary64_799` `associate-*l/_binary64_703`
5×	`associate-l_binary64_701` `difference-of-squares_binary64_729` `distribute-rgt-out--_binary64_714` `associate-/l*_binary64_705`
4×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793`
3×	`associate-/r*_binary64_704`
2×	`flip3-+_binary64_763` `flip-+_binary64_734` `*-commutative_binary64_691` `unswap-sqr_binary64_728` `flip3--_binary64_764` `associate-/l/_binary64_707` `flip--_binary64_735`
1×	`distribute-lft-out_binary64_711` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759` `div-inv_binary64_757` `diff-log_binary64_852` `sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726`

Counts

4 → 100

Calls

4 calls:

14.0ms	(.f64 (.f64 (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)) (sqrt.f64 m)) (sqrt.f64 m))
12.0ms	(.f64 (+.f64 -1 (/.f64 (-.f64 m (.f64 m m)) v)) (sqrt.f64 m))
5.0ms	(/.f64 (-.f64 m (*.f64 m m)) v)
3.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 2424 to 785 computations (67.6% saved)

series447.0ms (8%)

Error

0.0b

Counts

4 → 37

Calls

4 calls:

160.0ms	(.f64 (.f64 (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)) (sqrt.f64 m)) (sqrt.f64 m))
118.0ms	(.f64 (+.f64 -1 (/.f64 (-.f64 m (.f64 m m)) v)) (sqrt.f64 m))
107.0ms	(/.f64 (-.f64 m (*.f64 m m)) v)
37.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 1318 to 928 computations (29.6% saved)

simplify68.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5182	2176

prune109.0ms (1.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	136	1	137
Fresh	0	5	5
Picked	0	1	1
Done	1	1	2
Total	137	8	145

Error

Counts

145 → 8

Compiler

Compiled 2669 to 925 computations (65.3% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 1 m) v)
0.2b	(.f64 (+.f64 -1 (.f64 m (/.f64 (-.f64 1 m) v))) (sqrt.f64 m))
0.3b	(*.f64 m (/.f64 (-.f64 1 m) v))
0.4b	(.f64 (.f64 (+.f64 -1 (*.f64 m (/.f64 (-.f64 1 m) v))) (sqrt.f64 m)) (sqrt.f64 m))

rewrite183.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

61×	`add-sqr-sqrt_binary64_782`
52×	`*-un-lft-identity_binary64_760`
37×	`times-frac_binary64_766`
34×	`associate-r_binary64_700`
31×	`add-cube-cbrt_binary64_795`
18×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
14×	`difference-of-squares_binary64_729`
13×	`pow1_binary64_821`
7×	`associate-l_binary64_701` `sqrt-prod_binary64_776` `distribute-lft-out--_binary64_712`
6×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793` `associate-l/_binary64_703` `associate-/l_binary64_705`
5×	`pow-prod-down_binary64_831`
4×	`add-log-exp_binary64_799` `unswap-sqr_binary64_728`
3×	`-commutative_binary64_691` `associate-/r_binary64_704`
2×	`flip3-+_binary64_763` `flip-+_binary64_734` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `div-inv_binary64_757` `associate-/l/_binary64_707`
1×	`associate-*r/_binary64_702` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759` `flip3--_binary64_764` `flip--_binary64_735`

Counts

4 → 130

Calls

4 calls:

11.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))
9.0ms	(.f64 (.f64 (+.f64 -1 (*.f64 m (/.f64 (-.f64 1 m) v))) (sqrt.f64 m)) (sqrt.f64 m))
7.0ms	(.f64 (+.f64 -1 (.f64 m (/.f64 (-.f64 1 m) v))) (sqrt.f64 m))
6.0ms	(/.f64 (-.f64 1 m) v)

Compiler

Compiled 3144 to 1778 computations (43.4% saved)

series436.0ms (7.8%)

Error

Counts

4 → 40

Calls

4 calls:

140.0ms	(.f64 (.f64 (+.f64 -1 (*.f64 m (/.f64 (-.f64 1 m) v))) (sqrt.f64 m)) (sqrt.f64 m))
111.0ms	(.f64 (+.f64 -1 (.f64 m (/.f64 (-.f64 1 m) v))) (sqrt.f64 m))
92.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))
65.0ms	(/.f64 (-.f64 1 m) v)

Compiler

Compiled 1481 to 1029 computations (30.5% saved)

simplify92.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4964	2501
1	4964	2501

prune138.0ms (2.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	170	8	178

Error

Counts

178 → 8

Compiler

Compiled 3256 to 1485 computations (54.4% saved)

regimes346.0ms (6.2%)

Accuracy

Total 0.2b remaining (99.3%)

Threshold costs 0.2b (99.3%)

Compiler

Compiled 3866 to 2798 computations (27.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	16
1	33	16

end0.0ms (0%)

sample1.8s (31.7%)

Algorithm

1×

intervals

Results

248.0ms	8000×	body	128	valid
151.0ms	8066×	pre	128	true
2.0ms	66×	body	128	invalid

Compiler

Compiled 1312 to 951 computations (27.5% saved)

Details

analyze448.0ms (8%)

sample23.0ms (0.4%)

simplify126.0ms (2.3%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite115.0ms (2.1%)

series322.0ms (5.8%)

simplify53.0ms (1%)

prune89.0ms (1.6%)

localize7.0ms (0.1%)

rewrite132.0ms (2.4%)

series351.0ms (6.3%)

simplify64.0ms (1.2%)

prune112.0ms (2%)

localize9.0ms (0.2%)

rewrite129.0ms (2.3%)

series447.0ms (8%)

simplify68.0ms (1.2%)

prune109.0ms (1.9%)

localize11.0ms (0.2%)

rewrite183.0ms (3.3%)

series436.0ms (7.8%)

simplify92.0ms (1.6%)

prune138.0ms (2.5%)

regimes346.0ms (6.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.8s (31.7%)

Profiling