Details

analyze464.0ms (6.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4946	38
1	4946	38
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 23 to 18 computations (21.7% saved)

sample34.0ms (0.5%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
5.0ms	260×	pre	128	true
0.0ms	4×	body	128	invalid

Compiler

Compiled 36 to 31 computations (13.9% saved)

simplify93.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4924	19
1	4924	19

prune5.0ms (0.1%)

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

0.1b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite141.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

17×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-cube-cbrt_binary64`
7×	`flip3--_binary64` `flip--_binary64` `associate-l_binary64`
6×	`cancel-sign-sub-inv_binary64` `associate-r_binary64`
4×	`pow1_binary64` `frac-times_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-*r/_binary64` `difference-of-squares_binary64`
3×	`times-frac_binary64` `associate-/r*_binary64`
2×	`prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `sub-neg_binary64` `associate-*l/_binary64` `distribute-lft-out--_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-/l/_binary64`
1×	`pow-prod-down_binary64` `unswap-sqr_binary64` `difference-of-sqr-1_binary64` `-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64`

Counts

2 → 64

Calls

2 calls:

18.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
8.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

Compiler

Compiled 1579 to 1104 computations (30.1% saved)

series399.0ms (5.6%)

Error

0.0b

Counts

2 → 27

Calls

2 calls:

210.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
160.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

Compiler

Compiled 879 to 654 computations (25.6% saved)

simplify63.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4967	1833
1	4967	1833

prune116.0ms (1.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	86	5	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	5	92

Error

Counts

92 → 5

Compiler

Compiled 1836 to 1120 computations (39% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 m (/.f64 m v))))) (/.f64 (pow.f64 m 3) v))
0.0b	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 m (/.f64 m v)))))
0.2b	(*.f64 m (/.f64 m v))
10.8b	(/.f64 (pow.f64 m 3) v)

rewrite312.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

53×	`*-un-lft-identity_binary64`
46×	`add-sqr-sqrt_binary64` `times-frac_binary64`
39×	`add-cube-cbrt_binary64`
34×	`add-log-exp_binary64`
14×	`add-exp-log_binary64`
13×	`associate-r_binary64` `sum-log_binary64`
12×	`unpow-prod-down_binary64` `cube-prod_binary64` `associate-/l*_binary64`
11×	`add-cbrt-cube_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
8×	`diff-log_binary64` `frac-sub_binary64`
6×	`pow1_binary64` `cancel-sign-sub-inv_binary64` `frac-add_binary64`
5×	`distribute-lft-out_binary64` `associate-+l+_binary64`
4×	`div-exp_binary64` `unpow3_binary64` `cube-mult_binary64` `sqr-pow_binary64` `distribute-lft-out--_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64`
2×	`cbrt-undiv_binary64` `div-inv_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `associate--l+_binary64`
1×	`pow-to-exp_binary64` `pow-exp_binary64` `frac-2neg_binary64` `clear-num_binary64` `pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64` `difference-of-squares_binary64` `associate--r+_binary64` `associate-+l-_binary64` `+-commutative_binary64`

Counts

4 → 153

Calls

4 calls:

28.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 m (/.f64 m v))))) (/.f64 (pow.f64 m 3) v))
13.0ms	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 m (/.f64 m v)))))
7.0ms	(*.f64 m (/.f64 m v))
6.0ms	(/.f64 (pow.f64 m 3) v)

Compiler

Compiled 5406 to 2391 computations (55.8% saved)

series764.0ms (10.7%)

Error

Counts

4 → 45

Calls

4 calls:

246.0ms	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 m (/.f64 m v)))))
234.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 m (/.f64 m v))))) (/.f64 (pow.f64 m 3) v))
136.0ms	(/.f64 (pow.f64 m 3) v)
107.0ms	(*.f64 m (/.f64 m v))

Compiler

Compiled 1915 to 1313 computations (31.4% saved)

simplify72.0ms (1%)

Algorithm

1×	egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4983	4400
1	4983	4400

prune260.0ms (3.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	198	0	198
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	198	5	203

Error

Counts

203 → 5

Compiler

Compiled 5504 to 2484 computations (54.9% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m))) (.f64 (+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m))) (neg.f64 m)))
0.1b	(*.f64 (/.f64 m v) (-.f64 1 m))
0.1b	(*.f64 (/.f64 m v) (-.f64 1 m))
0.2b	(.f64 (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m))) (neg.f64 m))

rewrite271.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

46×	`add-sqr-sqrt_binary64`
34×	`*-un-lft-identity_binary64`
29×	`associate-l_binary64`
28×	`add-cube-cbrt_binary64`
22×	`associate-r_binary64`
20×	`times-frac_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`cancel-sign-sub-inv_binary64`
10×	`pow1_binary64`
9×	`add-log-exp_binary64`
8×	`associate-*l/_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
6×	`flip3-+_binary64` `flip-+_binary64`
5×	`prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64`
4×	`flip3--_binary64` `frac-times_binary64` `flip--_binary64` `sub-neg_binary64` `associate-*r/_binary64` `difference-of-squares_binary64` `frac-add_binary64`
3×	`pow-prod-down_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `*-commutative_binary64` `sum-log_binary64`
2×	`distribute-rgt-neg-out_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `distribute-lft-out--_binary64`
1×	`neg-mul-1_binary64` `unsub-neg_binary64` `associate-+l+_binary64` `+-commutative_binary64`

Counts

4 → 140

Calls

4 calls:

11.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))
10.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))
7.0ms	(.f64 (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m))) (neg.f64 m))
7.0ms	(+.f64 (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m))) (.f64 (+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m))) (neg.f64 m)))

Compiler

Compiled 4714 to 2597 computations (44.9% saved)

series915.0ms (12.8%)

Error

Counts

4 → 51

Calls

4 calls:

305.0ms	(.f64 (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m))) (neg.f64 m))
240.0ms	(+.f64 (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m))) (.f64 (+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m))) (neg.f64 m)))
165.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))
156.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))

Compiler

Compiled 2335 to 1629 computations (30.2% saved)

simplify83.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5019	3348

prune243.0ms (3.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	191	0	191
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	191	5	196

Error

Counts

196 → 5

Compiler

Compiled 5063 to 2300 computations (54.6% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite135.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

29×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64`
16×	`add-cube-cbrt_binary64` `associate-l_binary64`
12×	`cancel-sign-sub-inv_binary64` `associate-r_binary64`
10×	`times-frac_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`flip3--_binary64` `flip--_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
6×	`pow1_binary64` `frac-times_binary64`
4×	`sub-neg_binary64` `associate-*r/_binary64` `difference-of-squares_binary64`
3×	`prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `associate-*l/_binary64`
2×	`pow-prod-down_binary64` `add-log-exp_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64`

Counts

2 → 84

Calls

2 calls:

15.0ms	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
10.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))

Compiler

Compiled 2019 to 1235 computations (38.8% saved)

series361.0ms (5%)

Error

Counts

2 → 27

Calls

2 calls:

189.0ms	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
152.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))

Compiler

Compiled 879 to 654 computations (25.6% saved)

simplify66.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4999	2075
1	4999	2075

prune112.0ms (1.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	111	5	116

Error

Counts

116 → 5

Compiler

Compiled 2104 to 1207 computations (42.6% saved)

regimes365.0ms (5.1%)

Accuracy

Total 0.1b remaining (96.3%)

Threshold costs 0.1b (96.3%)

Compiler

Compiled 4241 to 3327 computations (21.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	87	31
1	87	31

end0.0ms (0%)

sample1.8s (25.7%)

Algorithm

1×

intervals

Results

265.0ms	8000×	body	128	valid
151.0ms	8064×	pre	128	true
2.0ms	64×	body	128	invalid

Compiler

Compiled 1410 to 1104 computations (21.7% saved)

Details

analyze464.0ms (6.5%)

sample34.0ms (0.5%)

simplify93.0ms (1.3%)

prune5.0ms (0.1%)

localize8.0ms (0.1%)

rewrite141.0ms (2%)

series399.0ms (5.6%)

simplify63.0ms (0.9%)

prune116.0ms (1.6%)

localize14.0ms (0.2%)

rewrite312.0ms (4.4%)

series764.0ms (10.7%)

simplify72.0ms (1%)

prune260.0ms (3.6%)

localize9.0ms (0.1%)

rewrite271.0ms (3.8%)

series915.0ms (12.8%)

simplify83.0ms (1.2%)

prune243.0ms (3.4%)

localize6.0ms (0.1%)

rewrite135.0ms (1.9%)

series361.0ms (5%)

simplify66.0ms (0.9%)

prune112.0ms (1.6%)

regimes365.0ms (5.1%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.8s (25.7%)

Profiling