Details

analyze1.2s (5.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5278	209
0	5	5
1	5	5

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
1.8%	98%	0.2%	10
7.7%	92.1%	0.2%	11
10.4%	89.4%	0.2%	12
12.2%	87.6%	0.2%	13
21.8%	77.8%	0.4%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample32.0ms (0.2%)

Algorithm

1×

intervals

Results

8.0ms	218×	body	128	valid
2.0ms	11×	body	1024	valid
2.0ms	46×	body	128	invalid
1.0ms	13×	body	512	valid
1.0ms	11×	body	256	valid
1.0ms	3×	body	2048	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify92.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4936	19
1	4936	19

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

23.8b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 y z) (-.f64 t x))
2.1b	(+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)))
17.6b	(/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z))

rewrite138.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

9.8b

Rules

19×	`add-sqr-sqrt_binary64_14081` `*-un-lft-identity_binary64_14059`
13×	`flip3--_binary64_14063` `flip--_binary64_14034`
10×	`add-exp-log_binary64_14097` `add-cbrt-cube_binary64_14095`
9×	`add-cube-cbrt_binary64_14094`
8×	`frac-times_binary64_14069` `associate-/l/_binary64_14006`
6×	`cancel-sign-sub-inv_binary64_14025`
5×	`pow1_binary64_14120` `add-log-exp_binary64_14098` `times-frac_binary64_14065` `associate-/r_binary64_14003` `associate-l_binary64_14000` `associate-r*_binary64_13999`
4×	`difference-of-squares_binary64_14028` `distribute-lft-out--_binary64_14011` `associate-l/_binary64_14002` `associate-r/_binary64_14001` `distribute-rgt-in_binary64_14009` `distribute-lft-in_binary64_14008`
2×	`prod-exp_binary64_14108` `div-exp_binary64_14110` `cbrt-undiv_binary64_14093` `cbrt-unprod_binary64_14092` `associate-/r/_binary64_14005` `sub-neg_binary64_14052`
1×	`frac-2neg_binary64_14070` `clear-num_binary64_14058` `div-inv_binary64_14056` `associate-/l_binary64_14004` `sum-log_binary64_14150` `flip3-+_binary64_14062` `flip-+_binary64_14033` `distribute-lft-out_binary64_14010` `+-commutative_binary64_13989` `pow-prod-down_binary64_14130` `unswap-sqr_binary64_14027` `-commutative_binary64_13990`

Counts

3 → 85

Calls

3 calls:

13.0ms	(/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z))
10.0ms	(*.f64 (-.f64 y z) (-.f64 t x))
8.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)))

Compiler

Compiled 1987 to 456 computations (77.1% saved)

series1.8s (9.1%)

Error

0.7b

Counts

3 → 104

Calls

3 calls:

908.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)))
585.0ms	(/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z))
196.0ms	(*.f64 (-.f64 y z) (-.f64 t x))

Compiler

Compiled 8814 to 4519 computations (48.7% saved)

simplify96.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4987	6552
1	4987	6552

prune197.0ms (1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	178	11	189
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	179	11	190

Error

0.6b

Counts

190 → 11

Compiler

Compiled 5556 to 1004 computations (81.9% saved)

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 a z) (-.f64 t x))
2.6b	(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x))))
5.6b	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x)))

rewrite481.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

330×	`times-frac_binary64_14065`
323×	`*-un-lft-identity_binary64_14059`
321×	`add-sqr-sqrt_binary64_14081`
113×	`add-cube-cbrt_binary64_14094`
104×	`difference-of-squares_binary64_14028` `distribute-lft-out--_binary64_14011`
36×	`associate-/r*_binary64_14003`
15×	`associate-/r/_binary64_14005`
10×	`add-exp-log_binary64_14097` `add-cbrt-cube_binary64_14095` `associate-/l*_binary64_14004`
9×	`flip3--_binary64_14063` `flip--_binary64_14034`
8×	`div-inv_binary64_14056`
5×	`add-log-exp_binary64_14098`
4×	`div-exp_binary64_14110` `cbrt-undiv_binary64_14093` `associate-/l/_binary64_14006`
3×	`pow1_binary64_14120` `div-sub_binary64_14064`
2×	`frac-2neg_binary64_14070` `clear-num_binary64_14058`
1×	`sum-log_binary64_14150` `flip3-+_binary64_14062` `flip-+_binary64_14033` `distribute-lft-out_binary64_14010` `associate-+r-_binary64_13993` `+-commutative_binary64_13989`

Counts

3 → 274

Calls

3 calls:

50.0ms	(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x))))
18.0ms	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x)))
9.0ms	(/.f64 (-.f64 a z) (-.f64 t x))

Compiler

Compiled 7392 to 1404 computations (81% saved)

series2.0s (9.9%)

Error

0.6b

Counts

3 → 113

Calls

3 calls:

946.0ms	(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x))))
600.0ms	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x)))
287.0ms	(/.f64 (-.f64 a z) (-.f64 t x))

Compiler

Compiled 9921 to 5276 computations (46.8% saved)

simplify160.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

387 → 387

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5853	14178

prune331.0ms (1.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	382	5	387
Fresh	3	7	10
Picked	0	1	1
Done	0	0	0
Total	385	13	398

Error

0.5b

Counts

398 → 13

Compiler

Compiled 11346 to 1767 computations (84.4% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 y z))
2.6b	(.f64 (.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z))) (/.f64 (cbrt.f64 (-.f64 y z)) (/.f64 (-.f64 a z) (-.f64 t x))))
3.2b	(/.f64 (cbrt.f64 (-.f64 y z)) (/.f64 (-.f64 a z) (-.f64 t x)))
7.7b	(+.f64 x (.f64 (.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z))) (/.f64 (cbrt.f64 (-.f64 y z)) (/.f64 (-.f64 a z) (-.f64 t x)))))

rewrite950.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

927×	`times-frac_binary64_14065`
798×	`add-sqr-sqrt_binary64_14081`
787×	`*-un-lft-identity_binary64_14059`
322×	`cbrt-prod_binary64_14090`
319×	`add-cube-cbrt_binary64_14094`
253×	`associate-r_binary64_13999`
234×	`difference-of-squares_binary64_14028` `distribute-lft-out--_binary64_14011`
36×	`associate-/r/_binary64_14005`
31×	`flip3--_binary64_14063` `flip--_binary64_14034` `associate-/r*_binary64_14003`
30×	`add-exp-log_binary64_14097`
28×	`cbrt-div_binary64_14091`
19×	`div-inv_binary64_14056`
18×	`add-cbrt-cube_binary64_14095`
16×	`frac-times_binary64_14069`
12×	`associate-*l/_binary64_14002`
9×	`pow1_binary64_14120` `div-exp_binary64_14110` `cbrt-undiv_binary64_14093` `prod-exp_binary64_14108` `cbrt-unprod_binary64_14092`
8×	`associate-/l*_binary64_14004`
6×	`add-log-exp_binary64_14098`
5×	`associate-*r/_binary64_14001` `unswap-sqr_binary64_14027`
3×	`pow-prod-down_binary64_14130`
2×	`associate-/l/_binary64_14006`
1×	`sum-log_binary64_14150` `flip3-+_binary64_14062` `flip-+_binary64_14033` `+-commutative_binary64_13989` `frac-2neg_binary64_14070` `clear-num_binary64_14058` `associate-l_binary64_14000` `*-commutative_binary64_13990` `pow1/3_binary64_14141`

Counts

4 → 628

Calls

4 calls:

83.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z))) (/.f64 (cbrt.f64 (-.f64 y z)) (/.f64 (-.f64 a z) (-.f64 t x))))
21.0ms	(/.f64 (cbrt.f64 (-.f64 y z)) (/.f64 (-.f64 a z) (-.f64 t x)))
4.0ms	(+.f64 x (.f64 (.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z))) (/.f64 (cbrt.f64 (-.f64 y z)) (/.f64 (-.f64 a z) (-.f64 t x)))))
3.0ms	(cbrt.f64 (-.f64 y z))

Compiler

Compiled 25799 to 3792 computations (85.3% saved)

series2.7s (13.6%)

Error

0.5b

Counts

4 → 117

Calls

4 calls:

1.0s	(+.f64 x (.f64 (.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z))) (/.f64 (cbrt.f64 (-.f64 y z)) (/.f64 (-.f64 a z) (-.f64 t x)))))
819.0ms	(/.f64 (cbrt.f64 (-.f64 y z)) (/.f64 (-.f64 a z) (-.f64 t x)))
643.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z))) (/.f64 (cbrt.f64 (-.f64 y z)) (/.f64 (-.f64 a z) (-.f64 t x))))
75.0ms	(cbrt.f64 (-.f64 y z))

Compiler

Compiled 12432 to 6836 computations (45% saved)

simplify259.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

745 → 745

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5290	27221

prune972.0ms (4.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	742	3	745
Fresh	3	8	11
Picked	1	0	1
Done	0	1	1
Total	746	12	758

Error

0.5b

Counts

758 → 12

Compiler

Compiled 27695 to 4425 computations (84% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 a z) (-.f64 t x))
0.2b	(/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))
4.8b	(+.f64 x (*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))))
6.3b	(*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x))))

rewrite493.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

392×	`times-frac_binary64_14065`
338×	`add-sqr-sqrt_binary64_14081`
326×	`*-un-lft-identity_binary64_14059`
158×	`add-cube-cbrt_binary64_14094`
98×	`associate-r_binary64_13999`
83×	`difference-of-squares_binary64_14028` `distribute-lft-out--_binary64_14011`
36×	`add-exp-log_binary64_14097` `associate-/r*_binary64_14003`
20×	`add-cbrt-cube_binary64_14095`
18×	`associate-/r/_binary64_14005`
15×	`div-exp_binary64_14110`
11×	`flip3--_binary64_14063` `flip--_binary64_14034`
10×	`div-inv_binary64_14056`
8×	`associate-/l*_binary64_14004`
7×	`pow1_binary64_14120` `prod-exp_binary64_14108` `cbrt-undiv_binary64_14093`
6×	`add-log-exp_binary64_14098`
5×	`unswap-sqr_binary64_14027` `associate-l_binary64_14000`
4×	`1-exp_binary64_14103` `rec-exp_binary64_14109`
3×	`cbrt-unprod_binary64_14092`
2×	`frac-times_binary64_14069` `associate-*l/_binary64_14002` `frac-2neg_binary64_14070` `clear-num_binary64_14058` `associate-/l/_binary64_14006`
1×	`pow-prod-down_binary64_14130` `un-div-inv_binary64_14057` `associate-r/_binary64_14001` `-commutative_binary64_13990` `sum-log_binary64_14150` `flip3-+_binary64_14062` `flip-+_binary64_14033` `+-commutative_binary64_13989` `inv-pow_binary64_14144` `pow-flip_binary64_14133` `div-sub_binary64_14064`

Counts

4 → 344

Calls

4 calls:

42.0ms	(*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x))))
15.0ms	(/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))
9.0ms	(/.f64 (-.f64 a z) (-.f64 t x))
4.0ms	(+.f64 x (*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))))

Compiler

Compiled 9606 to 3185 computations (66.8% saved)

series2.2s (11.1%)

Error

0.5b

Counts

4 → 146

Calls

4 calls:

895.0ms	(+.f64 x (*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))))
597.0ms	(*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x))))
285.0ms	(/.f64 (-.f64 a z) (-.f64 t x))
273.0ms	(/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))

Compiler

Compiled 12222 to 6719 computations (45% saved)

simplify162.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

490 → 490

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5291	14509

prune458.0ms (2.3%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	490	0	490
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	490	12	502

Error

0.5b

Counts

502 → 12

Compiler

Compiled 13639 to 3171 computations (76.8% saved)

regimes2.2s (11.2%)

Accuracy

Total 8.7b remaining (91.7%)

Threshold costs 0b (0%)

Compiler

Compiled 18510 to 11830 computations (36.1% saved)

bsearch126.0ms (0.6%)

Steps

Iters	Range		Point
9	2.092685541608606e-44	9.334319181730686e-39	2.1131810798987226e-44
7	1.3674421438021816e-62	1.525570808688969e-60	2.8858241070848407e-61
7	1.1059142715327677e-98	4.473777455967806e-97	8.200684544409579e-98
8	-1.0772849603302857e-135	-1.841409545821279e-140	-3.714207486392511e-138

Compiler

Compiled 1 to 5 computations (-400% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	290	245
1	290	245

end0.0ms (0%)

sample2.9s (14.4%)

Algorithm

1×

intervals

Results

273.0ms	6714×	body	128	valid
59.0ms	364×	body	1024	valid
56.0ms	1262×	body	128	invalid
51.0ms	480×	body	512	valid
31.0ms	371×	body	256	valid
13.0ms	71×	body	2048	valid

Compiler

Compiled 3288 to 2050 computations (37.7% saved)

Details

analyze1.2s (5.8%)

sample32.0ms (0.2%)

simplify92.0ms (0.5%)

prune3.0ms (0%)

localize9.0ms (0%)

rewrite138.0ms (0.7%)

series1.8s (9.1%)

simplify96.0ms (0.5%)

prune197.0ms (1%)

localize9.0ms (0%)

rewrite481.0ms (2.4%)

series2.0s (9.9%)

simplify160.0ms (0.8%)

prune331.0ms (1.6%)

localize13.0ms (0.1%)

rewrite950.0ms (4.7%)

series2.7s (13.6%)

simplify259.0ms (1.3%)

prune972.0ms (4.8%)

localize11.0ms (0.1%)

rewrite493.0ms (2.5%)

series2.2s (11.1%)

simplify162.0ms (0.8%)

prune458.0ms (2.3%)

regimes2.2s (11.2%)

bsearch126.0ms (0.6%)

simplify8.0ms (0%)

end0.0ms (0%)

sample2.9s (14.4%)

Profiling