Details

analyze821.0ms (7.2%)

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)

sample40.0ms (0.3%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
8.0ms	257×	pre	128	true
0.0ms	1×	body	128	invalid

Compiler

Compiled 32 to 27 computations (15.6% saved)

simplify229.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (219.0ms)

Iter	Nodes	Cost
0	4740	16
1	4740	16

prune4.0ms (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)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite220.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

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:

25.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
13.0ms	(*.f64 m (-.f64 1 m))
13.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

Compiler

Compiled 1467 to 952 computations (35.1% saved)

series573.0ms (5%)

Error

0.0b

Counts

3 → 30

Calls

3 calls:

299.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
174.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
60.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 793 to 594 computations (25.1% saved)

simplify108.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5040	1287

prune164.0ms (1.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	99	9	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	9	109

Error

0.0b

Counts

109 → 9

Compiler

Compiled 1708 to 800 computations (53.2% saved)

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite237.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

29×	`add-exp-log_binary64_798`
23×	`add-sqr-sqrt_binary64_782`
22×	`associate-r_binary64_700`
19×	`add-cbrt-cube_binary64_796` `*-un-lft-identity_binary64_760`
16×	`add-cube-cbrt_binary64_795`
14×	`prod-exp_binary64_809`
12×	`pow1_binary64_821`
9×	`times-frac_binary64_766`
8×	`cbrt-unprod_binary64_793`
7×	`associate-r/_binary64_702` `associate-l*_binary64_701`
6×	`cancel-sign-sub-inv_binary64_726`
5×	`pow-prod-down_binary64_831`
4×	`div-exp_binary64_811` `flip3--_binary64_764` `flip--_binary64_735` `associate-*l/_binary64_703` `distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709`
3×	`add-log-exp_binary64_799` `*-commutative_binary64_691`
2×	`1-exp_binary64_804` `rec-exp_binary64_810` `cbrt-undiv_binary64_794` `frac-times_binary64_770` `unswap-sqr_binary64_728` `sub-neg_binary64_753` `difference-of-squares_binary64_729`
1×	`un-div-inv_binary64_758` `div-inv_binary64_757` `distribute-lft-out--_binary64_712`

Counts

3 → 93

Calls

3 calls:

23.0ms	(.f64 (-.f64 (.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v)) 1) m)
19.0ms	(.f64 (.f64 m (-.f64 1 m)) (/.f64 1 v))
13.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 1984 to 1377 computations (30.6% saved)

series623.0ms (5.4%)

Error

0.0b

Counts

3 → 30

Calls

3 calls:

327.0ms	(.f64 (-.f64 (.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v)) 1) m)
182.0ms	(.f64 (.f64 m (-.f64 1 m)) (/.f64 1 v))
73.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 823 to 625 computations (24.1% saved)

simplify123.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5077	1472

prune177.0ms (1.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	120	3	123
Fresh	4	4	8
Picked	0	1	1
Done	0	0	0
Total	124	8	132

Error

Counts

132 → 8

Compiler

Compiled 2009 to 1096 computations (45.4% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 (/.f64 m v) (-.f64 m (.f64 m m))) m)
0.0b	(-.f64 m (*.f64 m m))
0.2b	(.f64 (/.f64 m v) (-.f64 m (.f64 m m)))

rewrite143.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`add-sqr-sqrt_binary64_782`
14×	`*-un-lft-identity_binary64_760`
13×	`associate-l_binary64_701`
12×	`add-cube-cbrt_binary64_795`
10×	`times-frac_binary64_766`
8×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `cancel-sign-sub-inv_binary64_726`
7×	`add-log-exp_binary64_799`
6×	`sub-neg_binary64_753`
5×	`pow1_binary64_821` `associate-r_binary64_700`
4×	`flip3--_binary64_764` `flip--_binary64_735` `distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709` `associate--l+_binary64_697`
2×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793` `frac-times_binary64_770` `unswap-sqr_binary64_728` `associate-*r/_binary64_702` `difference-of-squares_binary64_729` `distribute-rgt-out--_binary64_714` `diff-log_binary64_852`
1×	`pow-prod-down_binary64_831` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `associate-l/_binary64_703` `div-inv_binary64_757` `-commutative_binary64_691`

Counts

3 → 74

Calls

3 calls:

20.0ms	(.f64 (/.f64 m v) (-.f64 m (.f64 m m)))
14.0ms	(-.f64 (.f64 (/.f64 m v) (-.f64 m (.f64 m m))) m)
5.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 1440 to 313 computations (78.3% saved)

series637.0ms (5.6%)

Error

Counts

3 → 30

Calls

3 calls:

321.0ms	(-.f64 (.f64 (/.f64 m v) (-.f64 m (.f64 m m))) m)
210.0ms	(.f64 (/.f64 m v) (-.f64 m (.f64 m m)))
68.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 785 to 569 computations (27.5% saved)

simplify171.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (135.0ms)

Iter	Nodes	Cost
0	4896	1463
1	4896	1463

prune124.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	106	6	112

Error

Counts

112 → 6

Compiler

Compiled 1638 to 451 computations (72.5% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)))
0.3b	(cbrt.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1))
0.3b	(cbrt.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1))
0.3b	(.f64 (cbrt.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)) (cbrt.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)))

rewrite535.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

58×	`cbrt-prod_binary64_791`
51×	`add-sqr-sqrt_binary64_782`
43×	`*-un-lft-identity_binary64_760`
18×	`cbrt-div_binary64_792`
15×	`add-cube-cbrt_binary64_795`
14×	`swap-sqr_binary64_727` `difference-of-squares_binary64_729`
11×	`pow1_binary64_821`
10×	`associate-l_binary64_701` `associate-r_binary64_700`
9×	`pow1/3_binary64_842`
8×	`flip3--_binary64_764` `flip--_binary64_735` `distribute-lft-out--_binary64_712` `difference-of-sqr-1_binary64_730`
6×	`add-exp-log_binary64_798`
4×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `frac-times_binary64_770` `unswap-sqr_binary64_728`
2×	`pow-prod-down_binary64_831` `pow-prod-up_binary64_830` `pow-sqr_binary64_733` `associate-l/_binary64_703` `associate-r/_binary64_702`
1×	`pow2_binary64_841` `pow-plus_binary64_823` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `*-commutative_binary64_691` `flip3-+_binary64_763` `flip-+_binary64_734` `distribute-lft-out_binary64_711`

Counts

4 → 112

Calls

4 calls:

41.0ms	(.f64 (cbrt.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)) (cbrt.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)))
19.0ms	(cbrt.f64 (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)))
15.0ms	(cbrt.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1))
14.0ms	(cbrt.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1))

Compiler

Compiled 5479 to 3482 computations (36.4% saved)

series1.6s (13.6%)

Error

Counts

4 → 46

Calls

4 calls:

696.0ms	(.f64 (cbrt.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)) (cbrt.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)))
221.0ms	(cbrt.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1))
220.0ms	(cbrt.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1))
208.0ms	(cbrt.f64 (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)))

Compiler

Compiled 6513 to 4832 computations (25.8% saved)

simplify214.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (123.0ms)

Iter	Nodes	Cost
0	4965	5923
1	4965	5923

prune545.0ms (4.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	158	6	164

Error

Counts

164 → 6

Compiler

Compiled 7357 to 4063 computations (44.8% saved)

regimes665.0ms (5.8%)

Accuracy

Total 0.2b remaining (98.9%)

Threshold costs 0.2b (98.9%)

Compiler

Compiled 3908 to 2916 computations (25.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	16
1	32	16

end0.0ms (0%)

sample3.5s (30.3%)

Algorithm

1×

intervals

Results

474.0ms	8000×	body	128	valid
291.0ms	8049×	pre	128	true
3.0ms	49×	body	128	invalid

Compiler

Compiled 1282 to 957 computations (25.4% saved)

Details

analyze821.0ms (7.2%)

sample40.0ms (0.3%)

simplify229.0ms (2%)

prune4.0ms (0%)

localize13.0ms (0.1%)

rewrite220.0ms (1.9%)

series573.0ms (5%)

simplify108.0ms (0.9%)

prune164.0ms (1.4%)

localize18.0ms (0.2%)

rewrite237.0ms (2.1%)

series623.0ms (5.4%)

simplify123.0ms (1.1%)

prune177.0ms (1.5%)

localize13.0ms (0.1%)

rewrite143.0ms (1.3%)

series637.0ms (5.6%)

simplify171.0ms (1.5%)

prune124.0ms (1.1%)

localize31.0ms (0.3%)

rewrite535.0ms (4.7%)

series1.6s (13.6%)

simplify214.0ms (1.9%)

prune545.0ms (4.8%)

regimes665.0ms (5.8%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.5s (30.3%)

Profiling