Details

analyze1.1s (10.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4870	176
1	4870	176
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
2.3%	97.4%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
33.3%	66.5%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample29.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	18×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify134.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (129.0ms)

Iter	Nodes	Cost
0	4989	16
1	4989	16

prune2.0ms (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

1.3b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 z t) (-.f64 z a))
2.3b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

rewrite118.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

75×	`add-sqr-sqrt_binary64_14763`
70×	`*-un-lft-identity_binary64_14741`
51×	`times-frac_binary64_14747`
31×	`associate-r_binary64_14681`
26×	`add-cube-cbrt_binary64_14776`
22×	`difference-of-squares_binary64_14710` `distribute-lft-out--_binary64_14693`
9×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
5×	`associate-/l_binary64_14686` `associate-/r_binary64_14685`
4×	`pow1_binary64_14802` `associate-/r/_binary64_14687`
3×	`associate-l_binary64_14682` `flip3--_binary64_14745` `flip--_binary64_14716`
2×	`div-exp_binary64_14792` `prod-exp_binary64_14790` `add-log-exp_binary64_14780` `cbrt-unprod_binary64_14774` `cbrt-undiv_binary64_14775` `unswap-sqr_binary64_14709` `div-inv_binary64_14738` `associate-/l/_binary64_14688`
1×	`pow-prod-down_binary64_14812` `associate-r/_binary64_14683` `-commutative_binary64_14672` `frac-2neg_binary64_14752` `div-sub_binary64_14746` `clear-num_binary64_14740`

Counts

2 → 102

Calls

2 calls:

15.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
9.0ms	(/.f64 (-.f64 z t) (-.f64 z a))

Compiler

Compiled 2107 to 501 computations (76.2% saved)

series541.0ms (5.4%)

Error

0.0b

Counts

2 → 59

Calls

2 calls:

287.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
186.0ms	(/.f64 (-.f64 z t) (-.f64 z a))

Compiler

Compiled 3407 to 2131 computations (37.5% saved)

simplify79.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5037	3337

prune144.0ms (1.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	155	6	161
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	155	7	162

Error

Counts

162 → 7

Compiler

Compiled 3300 to 850 computations (74.2% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 z a) (-.f64 z t))
0.3b	(/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))
2.3b	(*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))))

rewrite420.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

392×	`times-frac_binary64_14747`
335×	`add-sqr-sqrt_binary64_14763`
323×	`*-un-lft-identity_binary64_14741`
157×	`add-cube-cbrt_binary64_14776`
98×	`associate-r_binary64_14681`
82×	`difference-of-squares_binary64_14710` `distribute-lft-out--_binary64_14693`
36×	`associate-/r*_binary64_14685`
35×	`add-exp-log_binary64_14779`
19×	`add-cbrt-cube_binary64_14777`
18×	`associate-/r/_binary64_14687`
15×	`div-exp_binary64_14792`
10×	`div-inv_binary64_14738`
9×	`flip3--_binary64_14745` `flip--_binary64_14716`
8×	`associate-/l*_binary64_14686`
7×	`prod-exp_binary64_14790` `cbrt-undiv_binary64_14775`
6×	`pow1_binary64_14802`
5×	`unswap-sqr_binary64_14709`
4×	`1-exp_binary64_14785` `rec-exp_binary64_14791`
3×	`add-log-exp_binary64_14780` `cbrt-unprod_binary64_14774` `associate-l_binary64_14682`
2×	`frac-2neg_binary64_14752` `clear-num_binary64_14740` `associate-/l/_binary64_14688`
1×	`pow-prod-down_binary64_14812` `un-div-inv_binary64_14739` `associate-r/_binary64_14683` `-commutative_binary64_14672` `inv-pow_binary64_14826` `pow-flip_binary64_14815` `div-sub_binary64_14746`

Counts

3 → 327

Calls

3 calls:

33.0ms	(*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))))
16.0ms	(/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))
8.0ms	(/.f64 (-.f64 z a) (-.f64 z t))

Compiler

Compiled 8420 to 3019 computations (64.1% saved)

series672.0ms (6.7%)

Error

Counts

3 → 78

Calls

3 calls:

280.0ms	(*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))))
188.0ms	(/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))
131.0ms	(/.f64 (-.f64 z a) (-.f64 z t))

Compiler

Compiled 4350 to 2802 computations (35.6% saved)

simplify117.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

405 → 405

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5040	8943

prune327.0ms (3.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	404	1	405
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	407	5	412

Error

Counts

412 → 5

Compiler

Compiled 9217 to 2540 computations (72.4% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 z a) (-.f64 z t))
2.0b	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))

rewrite193.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

218×	`times-frac_binary64_14747`
194×	`add-sqr-sqrt_binary64_14763` `*-un-lft-identity_binary64_14741`
90×	`add-cube-cbrt_binary64_14776`
52×	`difference-of-squares_binary64_14710` `distribute-lft-out--_binary64_14693`
36×	`associate-/r*_binary64_14685`
11×	`associate-/r/_binary64_14687`
9×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
8×	`associate-/l*_binary64_14686`
6×	`div-inv_binary64_14738` `flip3--_binary64_14745` `flip--_binary64_14716`
4×	`div-exp_binary64_14792` `cbrt-undiv_binary64_14775`
2×	`pow1_binary64_14802` `add-log-exp_binary64_14780` `frac-2neg_binary64_14752` `clear-num_binary64_14740` `associate-/l/_binary64_14688`
1×	`div-sub_binary64_14746`

Counts

2 → 194

Calls

2 calls:

12.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
8.0ms	(/.f64 (-.f64 z a) (-.f64 z t))

Compiler

Compiled 4537 to 1005 computations (77.8% saved)

series475.0ms (4.7%)

Error

Counts

2 → 50

Calls

2 calls:

289.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
143.0ms	(/.f64 (-.f64 z a) (-.f64 z t))

Compiler

Compiled 2737 to 1693 computations (38.1% saved)

simplify106.0ms (1%)

Algorithm

1×	egg-herbie

Counts

244 → 244

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5125	6048

prune176.0ms (1.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	243	1	244
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	245	4	249

Error

Counts

249 → 4

Compiler

Compiled 5201 to 938 computations (82% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a))))
4.0b	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))
4.0b	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))
4.0b	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))

rewrite409.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

333×	`*-un-lft-identity_binary64_14741`
277×	`cbrt-prod_binary64_14772`
273×	`add-sqr-sqrt_binary64_14763`
229×	`times-frac_binary64_14747`
106×	`distribute-lft-out--_binary64_14693`
93×	`add-cube-cbrt_binary64_14776`
78×	`difference-of-squares_binary64_14710`
58×	`swap-sqr_binary64_14708`
34×	`associate-l_binary64_14682` `associate-r_binary64_14681`
14×	`associate-/r/_binary64_14687`
11×	`pow1_binary64_14802`
9×	`pow1/3_binary64_14823` `unswap-sqr_binary64_14709`
7×	`cbrt-div_binary64_14773` `div-inv_binary64_14738` `flip3--_binary64_14745` `flip--_binary64_14716`
6×	`add-exp-log_binary64_14779`
4×	`add-log-exp_binary64_14780` `add-cbrt-cube_binary64_14777`
2×	`pow-prod-down_binary64_14812` `pow-prod-up_binary64_14811` `pow-sqr_binary64_14714`
1×	`pow2_binary64_14822` `pow-plus_binary64_14804` `prod-exp_binary64_14790` `cbrt-unprod_binary64_14774` `frac-times_binary64_14751` `associate-l/_binary64_14684` `associate-r/_binary64_14683` `*-commutative_binary64_14672`

Counts

4 → 276

Calls

4 calls:

41.0ms	(*.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a))))
8.0ms	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))
8.0ms	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))
7.0ms	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))

Compiler

Compiled 11925 to 1971 computations (83.5% saved)

series2.3s (22.6%)

Error

Counts

4 → 71

Calls

4 calls:

800.0ms	(*.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a))))
448.0ms	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))
448.0ms	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))
446.0ms	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))

Compiler

Compiled 13120 to 8147 computations (37.9% saved)

simplify144.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

347 → 347

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5068	12143

prune645.0ms (6.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	347	0	347
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	347	4	351

Error

Counts

351 → 4

Compiler

Compiled 14959 to 3132 computations (79.1% saved)

regimes599.0ms (5.9%)

Accuracy

Total 1.2b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 6206 to 4799 computations (22.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	16
1	30	16

end0.0ms (0%)

sample1.4s (13.6%)

Algorithm

1×

intervals

Results

327.0ms	7999×	body	128	valid
28.0ms	787×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 764 to 598 computations (21.7% saved)

Details

analyze1.1s (10.5%)

sample29.0ms (0.3%)

simplify134.0ms (1.3%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite118.0ms (1.2%)

series541.0ms (5.4%)

simplify79.0ms (0.8%)

prune144.0ms (1.4%)

localize9.0ms (0.1%)

rewrite420.0ms (4.2%)

series672.0ms (6.7%)

simplify117.0ms (1.2%)

prune327.0ms (3.2%)

localize8.0ms (0.1%)

rewrite193.0ms (1.9%)

series475.0ms (4.7%)

simplify106.0ms (1%)

prune176.0ms (1.7%)

localize15.0ms (0.1%)

rewrite409.0ms (4.1%)

series2.3s (22.6%)

simplify144.0ms (1.4%)

prune645.0ms (6.4%)

regimes599.0ms (5.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.4s (13.6%)

Profiling