Details

analyze1.6s (6.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4965	496
1	4965	496
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
1.1%	98.6%	0.3%	12
1.9%	97.8%	0.3%	13
7%	92.7%	0.3%	14

Compiler

Compiled 22 to 17 computations (22.7% saved)

sample34.0ms (0.1%)

Algorithm

1×

intervals

Results

20.0ms

256×

body

128

valid

Compiler

Compiled 43 to 39 computations (9.3% saved)

simplify94.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	5141	31

prune3.0ms (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

26.2b

Counts

2 → 1

Compiler

Compiled 42 to 31 computations (26.2% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 t y) a)
2.4b	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
2.4b	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
24.6b	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))

rewrite355.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

26.1b

Rules

38×	`*-un-lft-identity_binary64_22584`
18×	`add-sqr-sqrt_binary64_22606`
16×	`add-cube-cbrt_binary64_22619`
15×	`times-frac_binary64_22590`
13×	`distribute-lft-out_binary64_22535`
11×	`add-log-exp_binary64_22623`
10×	`associate-*l/_binary64_22527`
8×	`add-exp-log_binary64_22622` `add-cbrt-cube_binary64_22620`
7×	`flip3-+_binary64_22587` `flip-+_binary64_22558`
6×	`pow1_binary64_22645`
5×	`associate-/r*_binary64_22528`
4×	`frac-add_binary64_22592` `associate-l_binary64_22525`
3×	`associate-/l_binary64_22529` `associate-r*_binary64_22524`
2×	`flip3--_binary64_22588` `associate-/l/_binary64_22531` `flip--_binary64_22559` `associate-/r/_binary64_22530` `sum-log_binary64_22675` `diff-log_binary64_22676`
1×	`div-exp_binary64_22635` `cbrt-undiv_binary64_22618` `frac-2neg_binary64_22595` `div-sub_binary64_22589` `clear-num_binary64_22583` `div-inv_binary64_22581` `+-commutative_binary64_22514` `sub-neg_binary64_22577` `cancel-sign-sub-inv_binary64_22550` `associate--l+_binary64_22521` `pow-prod-down_binary64_22655` `prod-exp_binary64_22633` `cbrt-unprod_binary64_22617` `unswap-sqr_binary64_22552` `*-commutative_binary64_22515`

Counts

4 → 90

Calls

4 calls:

16.0ms	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))
10.0ms	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
8.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
6.0ms	(*.f64 (+.f64 t y) a)

Compiler

Compiled 3256 to 447 computations (86.3% saved)

series1.7s (7.4%)

Error

4.0b

Counts

4 → 120

Calls

4 calls:

808.0ms	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))
443.0ms	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
280.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
85.0ms	(*.f64 (+.f64 t y) a)

Compiler

Compiled 8870 to 4282 computations (51.7% saved)

simplify91.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5144	6077

prune193.0ms (0.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	198	12	210
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	199	12	211

Error

3.9b

Counts

211 → 12

Compiler

Compiled 6181 to 890 computations (85.6% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (+.f64 y (+.f64 t x)))
2.4b	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
2.4b	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
24.6b	(.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (.f64 y b)) (/.f64 1 (+.f64 y (+.f64 t x))))

rewrite173.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

3.9b

Rules

60×	`*-un-lft-identity_binary64_22584`
32×	`times-frac_binary64_22590`
31×	`add-sqr-sqrt_binary64_22606`
24×	`add-cube-cbrt_binary64_22619`
21×	`associate-r_binary64_22524` `distribute-lft-out_binary64_22535`
17×	`add-exp-log_binary64_22622`
11×	`add-log-exp_binary64_22623` `add-cbrt-cube_binary64_22620`
10×	`associate-*l/_binary64_22527`
7×	`pow1_binary64_22645` `flip3-+_binary64_22587` `flip-+_binary64_22558`
5×	`associate-/r*_binary64_22528`
4×	`div-exp_binary64_22635` `prod-exp_binary64_22633` `associate-/r/_binary64_22530` `frac-add_binary64_22592`
3×	`flip3--_binary64_22588` `flip--_binary64_22559` `unswap-sqr_binary64_22552` `associate-l_binary64_22525` `associate-/l*_binary64_22529`
2×	`1-exp_binary64_22628` `rec-exp_binary64_22634` `cbrt-unprod_binary64_22617` `cbrt-undiv_binary64_22618` `frac-times_binary64_22594` `div-inv_binary64_22581` `sum-log_binary64_22675` `diff-log_binary64_22676`
1×	`pow-prod-down_binary64_22655` `un-div-inv_binary64_22582` `associate-r/_binary64_22526` `-commutative_binary64_22515` `+-commutative_binary64_22514` `sub-neg_binary64_22577` `cancel-sign-sub-inv_binary64_22550` `associate--l+_binary64_22521` `inv-pow_binary64_22669` `pow-flip_binary64_22658` `frac-2neg_binary64_22595` `clear-num_binary64_22583`

Counts

4 → 118

Calls

4 calls:

21.0ms	(.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (.f64 y b)) (/.f64 1 (+.f64 y (+.f64 t x))))
10.0ms	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
10.0ms	(/.f64 1 (+.f64 y (+.f64 t x)))
8.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))

Compiler

Compiled 4286 to 890 computations (79.2% saved)

series1.8s (7.9%)

Error

3.9b

Counts

4 → 130

Calls

4 calls:

801.0ms	(.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (.f64 y b)) (/.f64 1 (+.f64 y (+.f64 t x))))
459.0ms	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
306.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
154.0ms	(/.f64 1 (+.f64 y (+.f64 t x)))

Compiler

Compiled 10587 to 5580 computations (47.3% saved)

simplify98.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

248 → 248

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5006	7109

prune229.0ms (1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	248	0	248
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	248	12	260

Error

3.9b

Counts

260 → 12

Compiler

Compiled 7756 to 1583 computations (79.6% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (/.f64 (+.f64 y (+.f64 t x)) (+.f64 (.f64 a (+.f64 y t)) (-.f64 (.f64 z (+.f64 y x)) (*.f64 y b)))))
0.9b	(-.f64 (.f64 z (+.f64 y x)) (.f64 y b))
4.0b	(+.f64 (.f64 a (+.f64 y t)) (-.f64 (.f64 z (+.f64 y x)) (*.f64 y b)))
24.6b	(/.f64 (+.f64 y (+.f64 t x)) (+.f64 (.f64 a (+.f64 y t)) (-.f64 (.f64 z (+.f64 y x)) (*.f64 y b))))

rewrite328.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

3.9b

Rules

156×	`*-un-lft-identity_binary64_22584`
150×	`times-frac_binary64_22590`
76×	`add-cube-cbrt_binary64_22619` `add-sqr-sqrt_binary64_22606`
48×	`distribute-lft-out_binary64_22535`
31×	`associate-/r/_binary64_22530`
28×	`associate-/r*_binary64_22528`
24×	`associate-*r/_binary64_22526` `frac-add_binary64_22592`
19×	`flip3-+_binary64_22587` `flip-+_binary64_22558`
17×	`add-exp-log_binary64_22622`
13×	`flip3--_binary64_22588` `flip--_binary64_22559`
11×	`add-log-exp_binary64_22623` `add-cbrt-cube_binary64_22620`
8×	`div-exp_binary64_22635` `associate-/l*_binary64_22529`
6×	`div-inv_binary64_22581`
5×	`pow1_binary64_22645`
4×	`cbrt-undiv_binary64_22618` `associate-+r+_binary64_22516` `associate--l+_binary64_22521`
3×	`distribute-rgt-in_binary64_22534` `distribute-lft-in_binary64_22533`
2×	`frac-2neg_binary64_22595` `clear-num_binary64_22583` `associate-/l/_binary64_22531` `diff-log_binary64_22676` `sum-log_binary64_22675` `associate-+l+_binary64_22517` `sub-neg_binary64_22577` `cancel-sign-sub-inv_binary64_22550` `1-exp_binary64_22628` `rec-exp_binary64_22634`
1×	`associate-+r-_binary64_22518` `+-commutative_binary64_22514` `inv-pow_binary64_22669` `pow-flip_binary64_22658`

Counts

4 → 204

Calls

4 calls:

24.0ms	(/.f64 1 (/.f64 (+.f64 y (+.f64 t x)) (+.f64 (.f64 a (+.f64 y t)) (-.f64 (.f64 z (+.f64 y x)) (*.f64 y b)))))
18.0ms	(/.f64 (+.f64 y (+.f64 t x)) (+.f64 (.f64 a (+.f64 y t)) (-.f64 (.f64 z (+.f64 y x)) (*.f64 y b))))
12.0ms	(+.f64 (.f64 a (+.f64 y t)) (-.f64 (.f64 z (+.f64 y x)) (*.f64 y b)))
6.0ms	(-.f64 (.f64 z (+.f64 y x)) (.f64 y b))

Compiler

Compiled 10040 to 1541 computations (84.7% saved)

series2.8s (12.3%)

Error

3.9b

Counts

4 → 129

Calls

4 calls:

1.3s	(/.f64 (+.f64 y (+.f64 t x)) (+.f64 (.f64 a (+.f64 y t)) (-.f64 (.f64 z (+.f64 y x)) (*.f64 y b))))
810.0ms	(/.f64 1 (/.f64 (+.f64 y (+.f64 t x)) (+.f64 (.f64 a (+.f64 y t)) (-.f64 (.f64 z (+.f64 y x)) (*.f64 y b)))))
440.0ms	(+.f64 (.f64 a (+.f64 y t)) (-.f64 (.f64 z (+.f64 y x)) (*.f64 y b)))
194.0ms	(-.f64 (.f64 z (+.f64 y x)) (.f64 y b))

Compiler

Compiled 14685 to 7591 computations (48.3% saved)

simplify137.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

333 → 333

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5053	15708

prune320.0ms (1.4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	332	1	333
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	332	13	345

Error

3.9b

Counts

345 → 13

Compiler

Compiled 13255 to 2268 computations (82.9% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.1b	(.f64 (.f64 (cbrt.f64 (+.f64 (.f64 a (+.f64 y t)) (-.f64 (.f64 z (+.f64 y x)) (.f64 y b)))) (cbrt.f64 (+.f64 (.f64 a (+.f64 y t)) (-.f64 (.f64 z (+.f64 y x)) (.f64 y b))))) (/.f64 (cbrt.f64 (+.f64 (.f64 a (+.f64 y t)) (-.f64 (.f64 z (+.f64 y x)) (*.f64 y b)))) (+.f64 y (+.f64 t x))))
25.2b	(cbrt.f64 (+.f64 (.f64 a (+.f64 y t)) (-.f64 (.f64 z (+.f64 y x)) (*.f64 y b))))
25.2b	(cbrt.f64 (+.f64 (.f64 a (+.f64 y t)) (-.f64 (.f64 z (+.f64 y x)) (*.f64 y b))))
25.2b	(cbrt.f64 (+.f64 (.f64 a (+.f64 y t)) (-.f64 (.f64 z (+.f64 y x)) (*.f64 y b))))

rewrite558.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

3.9b

Rules

186×	`cbrt-div_binary64_22616`
137×	`associate-*r/_binary64_22526`
124×	`frac-add_binary64_22592`
120×	`frac-times_binary64_22594`
94×	`flip3-+_binary64_22587` `flip-+_binary64_22558`
62×	`flip3--_binary64_22588` `flip--_binary64_22559`
60×	`associate-*l/_binary64_22527`
54×	`*-un-lft-identity_binary64_22584`
36×	`associate-r_binary64_22524`
32×	`times-frac_binary64_22590`
29×	`add-sqr-sqrt_binary64_22606`
25×	`cbrt-prod_binary64_22615`
24×	`add-cube-cbrt_binary64_22619`
18×	`distribute-lft-out_binary64_22535`
16×	`add-exp-log_binary64_22622`
10×	`add-cbrt-cube_binary64_22620`
9×	`pow1_binary64_22645`
6×	`prod-exp_binary64_22633` `cbrt-unprod_binary64_22617`
4×	`add-log-exp_binary64_22623`
3×	`pow1/3_binary64_22666` `pow-prod-down_binary64_22655` `unswap-sqr_binary64_22552`
2×	`div-exp_binary64_22635` `cbrt-undiv_binary64_22618` `associate-/r/_binary64_22530`
1×	`associate-l_binary64_22525` `div-inv_binary64_22581` `*-commutative_binary64_22515`

Counts

4 → 206

Calls

4 calls:

57.0ms	(.f64 (.f64 (cbrt.f64 (+.f64 (.f64 a (+.f64 y t)) (-.f64 (.f64 z (+.f64 y x)) (.f64 y b)))) (cbrt.f64 (+.f64 (.f64 a (+.f64 y t)) (-.f64 (.f64 z (+.f64 y x)) (.f64 y b))))) (/.f64 (cbrt.f64 (+.f64 (.f64 a (+.f64 y t)) (-.f64 (.f64 z (+.f64 y x)) (*.f64 y b)))) (+.f64 y (+.f64 t x))))
11.0ms	(cbrt.f64 (+.f64 (.f64 a (+.f64 y t)) (-.f64 (.f64 z (+.f64 y x)) (*.f64 y b))))
11.0ms	(cbrt.f64 (+.f64 (.f64 a (+.f64 y t)) (-.f64 (.f64 z (+.f64 y x)) (*.f64 y b))))
11.0ms	(cbrt.f64 (+.f64 (.f64 a (+.f64 y t)) (-.f64 (.f64 z (+.f64 y x)) (*.f64 y b))))

Compiler

Compiled 24622 to 1977 computations (92% saved)

series6.4s (27.7%)

Error

3.9b

Counts

4 → 150

Calls

4 calls:

1.7s	(cbrt.f64 (+.f64 (.f64 a (+.f64 y t)) (-.f64 (.f64 z (+.f64 y x)) (*.f64 y b))))
1.7s	(cbrt.f64 (+.f64 (.f64 a (+.f64 y t)) (-.f64 (.f64 z (+.f64 y x)) (*.f64 y b))))
1.7s	(cbrt.f64 (+.f64 (.f64 a (+.f64 y t)) (-.f64 (.f64 z (+.f64 y x)) (*.f64 y b))))
826.0ms	(.f64 (.f64 (cbrt.f64 (+.f64 (.f64 a (+.f64 y t)) (-.f64 (.f64 z (+.f64 y x)) (.f64 y b)))) (cbrt.f64 (+.f64 (.f64 a (+.f64 y t)) (-.f64 (.f64 z (+.f64 y x)) (.f64 y b))))) (/.f64 (cbrt.f64 (+.f64 (.f64 a (+.f64 y t)) (-.f64 (.f64 z (+.f64 y x)) (*.f64 y b)))) (+.f64 y (+.f64 t x))))

Compiler

Compiled 42831 to 22041 computations (48.5% saved)

simplify273.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

356 → 356

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5648	34836

prune737.0ms (3.2%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	356	0	356
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	356	13	369

Error

3.9b

Counts

369 → 13

Compiler

Compiled 33161 to 5795 computations (82.5% saved)

regimes2.7s (11.9%)

Accuracy

Total 3.4b remaining (45.3%)

Threshold costs 0b (0%)

Compiler

Compiled 19539 to 12080 computations (38.2% saved)

bsearch6.0ms (0%)

Compiler: Compiled 21 to 16 computations (23.8% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	95	154
1	95	154

end0.0ms (0%)

sample2.3s (10%)

Algorithm

1×

intervals

Results

442.0ms	7998×	body	128	valid
0.0ms	1×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 2955 to 1784 computations (39.6% saved)

Details

analyze1.6s (6.8%)

sample34.0ms (0.1%)

simplify94.0ms (0.4%)

prune3.0ms (0%)

localize14.0ms (0.1%)

rewrite355.0ms (1.5%)

series1.7s (7.4%)

simplify91.0ms (0.4%)

prune193.0ms (0.8%)

localize15.0ms (0.1%)

rewrite173.0ms (0.8%)

series1.8s (7.9%)

simplify98.0ms (0.4%)

prune229.0ms (1%)

localize15.0ms (0.1%)

rewrite328.0ms (1.4%)

series2.8s (12.3%)

simplify137.0ms (0.6%)

prune320.0ms (1.4%)

localize19.0ms (0.1%)

rewrite558.0ms (2.4%)

series6.4s (27.7%)

simplify273.0ms (1.2%)

prune737.0ms (3.2%)

regimes2.7s (11.9%)

bsearch6.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.3s (10%)

Profiling