Details

analyze436.0ms (3.3%)

Algorithm

1×

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)

sample54.0ms (0.4%)

Algorithm

1×

intervals

Results

17.0ms	256×	body	128	valid
10.0ms	260×	pre	128	true
0.0ms	4×	body	128	invalid

Compiler

Compiled 36 to 31 computations (13.9% saved)

simplify367.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (174.0ms)

Iter	Nodes	Cost
0	4924	19
1	4924	19

prune8.0ms (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

0.0b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize31.0ms (0.2%)

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

rewrite388.0ms (2.9%)

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×	`div-exp_binary64` `cbrt-undiv_binary64` `associate-/l/_binary64` `pow-prod-down_binary64` `unswap-sqr_binary64` `associate-l/_binary64` `difference-of-sqr-1_binary64` `-commutative_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l*_binary64` `diff-log_binary64`

Counts

4 → 113

Calls

4 calls:

37.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
20.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
20.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
16.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 2588 to 1796 computations (30.6% saved)

series907.0ms (6.8%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

265.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
264.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
218.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
79.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 1502 to 1131 computations (24.7% saved)

simplify153.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4990	2592
1	4990	2592

prune316.0ms (2.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	156	5	161
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	156	6	162

Error

Counts

162 → 6

Compiler

Compiled 2931 to 1755 computations (40.1% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (/.f64 (pow.f64 m 3) v))
0.0b	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
0.2b	(*.f64 (/.f64 m v) m)
8.8b	(/.f64 (pow.f64 m 3) v)

rewrite568.0ms (4.3%)

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-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:

58.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (/.f64 (pow.f64 m 3) v))
27.0ms	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
14.0ms	(*.f64 (/.f64 m v) m)
12.0ms	(/.f64 (pow.f64 m 3) v)

Compiler

Compiled 5406 to 2391 computations (55.8% saved)

series1.1s (7.9%)

Error

Counts

4 → 45

Calls

4 calls:

362.0ms	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
312.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (/.f64 (pow.f64 m 3) v))
170.0ms	(/.f64 (pow.f64 m 3) v)
138.0ms	(*.f64 (/.f64 m v) m)

Compiler

Compiled 1915 to 1313 computations (31.4% saved)

simplify150.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4971	4376
1	4971	4376

prune460.0ms (3.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	198	0	198
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	198	6	204

Error

Counts

204 → 6

Compiler

Compiled 5494 to 2486 computations (54.8% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite698.0ms (5.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

41×	`add-sqr-sqrt_binary64`
34×	`frac-times_binary64` `*-un-lft-identity_binary64`
25×	`flip3-+_binary64` `flip-+_binary64`
24×	`cancel-sign-sub-inv_binary64`
23×	`add-cube-cbrt_binary64`
20×	`associate-r_binary64`
17×	`associate-l/_binary64` `associate-l*_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
13×	`pow1_binary64`
12×	`associate-*r/_binary64`
11×	`flip3--_binary64` `flip--_binary64`
10×	`sqrt-prod_binary64` `times-frac_binary64`
8×	`associate-+l+_binary64`
6×	`prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `sub-neg_binary64` `difference-of-squares_binary64`
5×	`pow-prod-down_binary64`
3×	`unswap-sqr_binary64` `*-commutative_binary64` `distribute-lft-out--_binary64`
2×	`distribute-lft-out_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 160

Calls

4 calls:

48.0ms	(.f64 (.f64 (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1) (+.f64 1 (sqrt.f64 m))) (-.f64 1 (sqrt.f64 m)))
33.0ms	(.f64 (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1) (+.f64 1 (sqrt.f64 m)))
26.0ms	(+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1)
23.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))

Compiler

Compiled 5639 to 3303 computations (41.4% saved)

series1.2s (9.1%)

Error

Counts

4 → 43

Calls

4 calls:

387.0ms	(.f64 (.f64 (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1) (+.f64 1 (sqrt.f64 m))) (-.f64 1 (sqrt.f64 m)))
272.0ms	(.f64 (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1) (+.f64 1 (sqrt.f64 m)))
268.0ms	(+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1)
205.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))

Compiler

Compiled 2129 to 1543 computations (27.5% saved)

simplify217.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 0 (123.0ms)

Iter	Nodes	Cost
0	5168	5172

prune469.0ms (3.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	203	0	203
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	203	6	209

Error

Counts

209 → 6

Compiler

Compiled 5525 to 2560 computations (53.7% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (-.f64 (/.f64 (.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m)) (sqrt.f64 v)) 1) (-.f64 1 m))
0.1b	(*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m))
0.2b	(/.f64 m (sqrt.f64 v))
0.3b	(/.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m)) (sqrt.f64 v))

rewrite514.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

63×	`add-sqr-sqrt_binary64`
52×	`*-un-lft-identity_binary64`
44×	`times-frac_binary64`
43×	`add-cube-cbrt_binary64`
29×	`associate-l_binary64`
28×	`sqrt-prod_binary64`
22×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`associate-/r_binary64` `cancel-sign-sub-inv_binary64` `associate-r*_binary64`
10×	`flip3--_binary64` `flip--_binary64`
8×	`pow1_binary64` `frac-times_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
6×	`div-exp_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `difference-of-squares_binary64`
5×	`prod-exp_binary64` `cbrt-unprod_binary64` `associate-/l/_binary64`
4×	`add-log-exp_binary64` `associate-l/_binary64` `associate-/l_binary64` `unswap-sqr_binary64` `sub-neg_binary64`
3×	`div-inv_binary64` `distribute-lft-out--_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `pow-prod-down_binary64` `*-commutative_binary64`
1×	`difference-of-sqr-1_binary64`

Counts

4 → 171

Calls

4 calls:

46.0ms	(.f64 (-.f64 (/.f64 (.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m)) (sqrt.f64 v)) 1) (-.f64 1 m))
31.0ms	(/.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m)) (sqrt.f64 v))
28.0ms	(*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m))
9.0ms	(/.f64 m (sqrt.f64 v))

Compiler

Compiled 4712 to 2411 computations (48.8% saved)

series872.0ms (6.6%)

Error

Counts

4 → 41

Calls

4 calls:

255.0ms	(.f64 (-.f64 (/.f64 (.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m)) (sqrt.f64 v)) 1) (-.f64 1 m))
238.0ms	(*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m))
182.0ms	(/.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m)) (sqrt.f64 v))
137.0ms	(/.f64 m (sqrt.f64 v))

Compiler

Compiled 1798 to 1368 computations (23.9% saved)

simplify137.0ms (1%)

Algorithm

1×	egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5549	3552

prune432.0ms (3.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	212	0	212
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	212	6	218

Error

Counts

218 → 6

Compiler

Compiled 4520 to 2357 computations (47.9% saved)

regimes552.0ms (4.2%)

Accuracy

Total 0.1b remaining (97.2%)

Threshold costs 0.1b (97.2%)

Compiler

Compiled 2697 to 2147 computations (20.4% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	46	19
1	46	19

end0.0ms (0%)

sample3.2s (24%)

Algorithm

1×

intervals

Results

542.0ms	8000×	body	128	valid
294.0ms	8060×	pre	128	true
4.0ms	60×	body	128	invalid

Compiler

Compiled 902 to 717 computations (20.5% saved)

Details

analyze436.0ms (3.3%)

sample54.0ms (0.4%)

simplify367.0ms (2.8%)

prune8.0ms (0.1%)

localize31.0ms (0.2%)

rewrite388.0ms (2.9%)

series907.0ms (6.8%)

simplify153.0ms (1.2%)

prune316.0ms (2.4%)

localize32.0ms (0.2%)

rewrite568.0ms (4.3%)

series1.1s (7.9%)

simplify150.0ms (1.1%)

prune460.0ms (3.5%)

localize25.0ms (0.2%)

rewrite698.0ms (5.3%)

series1.2s (9.1%)

simplify217.0ms (1.6%)

prune469.0ms (3.5%)

localize20.0ms (0.2%)

rewrite514.0ms (3.9%)

series872.0ms (6.6%)

simplify137.0ms (1%)

prune432.0ms (3.3%)

regimes552.0ms (4.2%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample3.2s (24%)

Profiling