Details

analyze499.0ms (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)

sample36.0ms (0.4%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
5.0ms	257×	pre	128	true
0.0ms	1×	body	128	invalid

Compiler

Compiled 36 to 31 computations (13.9% saved)

simplify125.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (118.0ms)

Iter	Nodes	Cost
0	4924	19
1	4924	19

prune5.0ms (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

0.1b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite267.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

4 → 113

Calls

4 calls:

24.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
9.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
8.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
7.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 2588 to 1796 computations (30.6% saved)

series582.0ms (5.8%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

173.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
162.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
131.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
76.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 1502 to 1131 computations (24.7% saved)

simplify86.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4990	2592
1	4990	2592

prune199.0ms (2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	158	3	161
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	158	4	162

Error

0.0b

Counts

162 → 4

Compiler

Compiled 2881 to 1717 computations (40.4% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (/.f64 (pow.f64 m 3) v))
0.1b	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
0.2b	(*.f64 (/.f64 m v) m)
7.8b	(/.f64 (pow.f64 m 3) v)

rewrite329.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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-l_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-r*_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-l/_binary64` `-commutative_binary64` `difference-of-squares_binary64` `associate--r+_binary64` `associate-+l-_binary64` `+-commutative_binary64`

Counts

4 → 153

Calls

4 calls:

33.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (/.f64 (pow.f64 m 3) v))
13.0ms	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
10.0ms	(/.f64 (pow.f64 m 3) v)
7.0ms	(*.f64 (/.f64 m v) m)

Compiler

Compiled 5406 to 2391 computations (55.8% saved)

series631.0ms (6.3%)

Error

0.0b

Counts

4 → 45

Calls

4 calls:

208.0ms	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
183.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (/.f64 (pow.f64 m 3) v))
102.0ms	(/.f64 (pow.f64 m 3) v)
95.0ms	(*.f64 (/.f64 m v) m)

Compiler

Compiled 1915 to 1313 computations (31.4% saved)

simplify77.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4971	4376
1	4971	4376

prune231.0ms (2.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	198	0	198
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	198	4	202

Error

0.0b

Counts

202 → 4

Compiler

Compiled 5444 to 2448 computations (55% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite499.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

174×	`times-frac_binary64`
162×	`add-sqr-sqrt_binary64`
124×	`*-un-lft-identity_binary64`
77×	`add-cube-cbrt_binary64`
38×	`difference-of-squares_binary64`
26×	`associate-/r*_binary64`
20×	`associate-l_binary64`
19×	`add-exp-log_binary64`
16×	`distribute-rgt-out--_binary64`
13×	`add-cbrt-cube_binary64`
12×	`flip3--_binary64` `flip--_binary64`
11×	`associate-/r/_binary64`
10×	`difference-of-sqr-1_binary64`
9×	`cancel-sign-sub-inv_binary64`
8×	`div-exp_binary64` `div-inv_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64` `associate-/l_binary64` `associate-r*_binary64`
5×	`distribute-lft-out--_binary64`
4×	`cbrt-undiv_binary64` `frac-times_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
3×	`sub-neg_binary64`
2×	`1-exp_binary64` `rec-exp_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-l/_binary64` `associate-r/_binary64`
1×	`inv-pow_binary64` `pow-flip_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64` `diff-log_binary64`

Counts

4 → 230

Calls

4 calls:

54.0ms	(.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (.f64 m m)))) 1) (-.f64 1 m))
49.0ms	(-.f64 (/.f64 1 (/.f64 v (-.f64 m (*.f64 m m)))) 1)
16.0ms	(/.f64 1 (/.f64 v (-.f64 m (*.f64 m m))))
7.0ms	(/.f64 v (-.f64 m (*.f64 m m)))

Compiler

Compiled 6326 to 2933 computations (53.6% saved)

series632.0ms (6.3%)

Error

0.0b

Counts

4 → 57

Calls

4 calls:

171.0ms	(-.f64 (/.f64 1 (/.f64 v (-.f64 m (*.f64 m m)))) 1)
146.0ms	(.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (.f64 m m)))) 1) (-.f64 1 m))
135.0ms	(/.f64 1 (/.f64 v (-.f64 m (*.f64 m m))))
133.0ms	(/.f64 v (-.f64 m (*.f64 m m)))

Compiler

Compiled 1950 to 1474 computations (24.4% saved)

simplify119.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

287 → 287

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5217	5945

prune327.0ms (3.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	287	0	287
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	287	4	291

Error

0.0b

Counts

291 → 4

Compiler

Compiled 6216 to 2660 computations (57.2% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (.f64 (-.f64 1 m) (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m)))))
0.1b	(*.f64 (/.f64 m v) (-.f64 1 m))
0.1b	(.f64 (-.f64 1 m) (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m))))
1.2b	(log.f64 (exp.f64 (.f64 (-.f64 1 m) (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m))))))

rewrite234.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`add-sqr-sqrt_binary64`
23×	`*-un-lft-identity_binary64`
19×	`associate-l_binary64`
17×	`add-cube-cbrt_binary64`
11×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`times-frac_binary64`
9×	`pow1_binary64` `associate-r_binary64`
7×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
6×	`frac-times_binary64` `cancel-sign-sub-inv_binary64`
5×	`log-prod_binary64` `flip3--_binary64` `flip--_binary64`
4×	`exp-to-pow_binary64` `log-pow_binary64` `exp-sum_binary64` `associate-*r/_binary64` `difference-of-squares_binary64`
3×	`prod-exp_binary64` `cbrt-unprod_binary64` `flip3-+_binary64` `flip-+_binary64` `unswap-sqr_binary64` `associate-*l/_binary64`
2×	`diff-log_binary64` `exp-prod_binary64` `pow-prod-down_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64` `sub-neg_binary64`
1×	`rem-log-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `rem-exp-log_binary64`

Counts

4 → 108

Calls

4 calls:

25.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))
17.0ms	(.f64 (-.f64 1 m) (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m))))
8.0ms	(exp.f64 (.f64 (-.f64 1 m) (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m)))))
3.0ms	(log.f64 (exp.f64 (.f64 (-.f64 1 m) (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m))))))

Compiler

Compiled 2703 to 1787 computations (33.9% saved)

series1.9s (18.9%)

Error

0.0b

Counts

4 → 44

Calls

4 calls:

1.4s	(log.f64 (exp.f64 (.f64 (-.f64 1 m) (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m))))))
215.0ms	(exp.f64 (.f64 (-.f64 1 m) (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m)))))
127.0ms	(.f64 (-.f64 1 m) (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m))))
105.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))

Compiler

Compiled 3334 to 2709 computations (18.7% saved)

simplify111.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4939	3837
1	4939	3837

prune240.0ms (2.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	152	0	152
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	152	4	156

Error

0.0b

Counts

156 → 4

Compiler

Compiled 3640 to 2341 computations (35.7% saved)

regimes391.0ms (3.9%)

Accuracy

Total 0.1b remaining (96.9%)

Threshold costs 0.1b (96.9%)

Compiler

Compiled 4082 to 3217 computations (21.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	101	31
1	101	31

end0.0ms (0%)

sample2.5s (24.7%)

Algorithm

1×

intervals

Results

341.0ms	8000×	body	128	valid
196.0ms	8064×	pre	128	true
7.0ms	64×	body	128	invalid

Compiler

Compiled 1352 to 1061 computations (21.5% saved)

Details

analyze499.0ms (5%)

sample36.0ms (0.4%)

simplify125.0ms (1.2%)

prune5.0ms (0%)

localize9.0ms (0.1%)

rewrite267.0ms (2.7%)

series582.0ms (5.8%)

simplify86.0ms (0.9%)

prune199.0ms (2%)

localize15.0ms (0.1%)

rewrite329.0ms (3.3%)

series631.0ms (6.3%)

simplify77.0ms (0.8%)

prune231.0ms (2.3%)

localize9.0ms (0.1%)

rewrite499.0ms (5%)

series632.0ms (6.3%)

simplify119.0ms (1.2%)

prune327.0ms (3.3%)

localize10.0ms (0.1%)

rewrite234.0ms (2.3%)

series1.9s (18.9%)

simplify111.0ms (1.1%)

prune240.0ms (2.4%)

regimes391.0ms (3.9%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.5s (24.7%)

Profiling