Details

analyze1.6s (17.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4844	143
1	4844	143
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
0%	99.8%	0.2%	10
13.2%	86.5%	0.2%	11
16.8%	83%	0.2%	12
22.7%	77.1%	0.2%	13
24.1%	74.7%	1.3%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample35.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
3.0ms	69×	body	128	invalid

Compiler

Compiled 19 to 24 computations (-26.3% saved)

simplify58.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	719	13
1	719	13

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

6.1b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
0.0b	(*.f64 y (-.f64 z t))
7.3b	(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite109.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary64_7261`
15×	`*-un-lft-identity_binary64_7239`
13×	`cancel-sign-sub-inv_binary64_7205`
11×	`add-cube-cbrt_binary64_7274`
10×	`add-exp-log_binary64_7277` `add-cbrt-cube_binary64_7275`
6×	`times-frac_binary64_7245`
5×	`pow1_binary64_7300` `add-log-exp_binary64_7278` `associate-r_binary64_7179`
4×	`associate-*r/_binary64_7181` `distribute-rgt-in_binary64_7189` `distribute-lft-in_binary64_7188`
3×	`flip3--_binary64_7243` `flip--_binary64_7214` `associate-/r_binary64_7183` `sub-neg_binary64_7232` `associate-l*_binary64_7180`
2×	`prod-exp_binary64_7288` `div-exp_binary64_7290` `cbrt-undiv_binary64_7273` `cbrt-unprod_binary64_7272` `div-inv_binary64_7236` `associate-/l/_binary64_7186` `difference-of-squares_binary64_7208` `distribute-lft-out--_binary64_7191`
1×	`frac-2neg_binary64_7250` `clear-num_binary64_7238` `associate-/l_binary64_7184` `pow-prod-down_binary64_7310` `unswap-sqr_binary64_7207` `-commutative_binary64_7170` `diff-log_binary64_7331`

Counts

3 → 73

Calls

3 calls:

8.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)
7.0ms	(*.f64 y (-.f64 z t))
6.0ms	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))

Compiler

Compiled 1187 to 331 computations (72.1% saved)

series817.0ms (9%)

Error

0.3b

Counts

3 → 63

Calls

3 calls:

418.0ms	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
238.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)
113.0ms	(*.f64 y (-.f64 z t))

Compiler

Compiled 1636 to 1032 computations (36.9% saved)

simplify83.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5027	1503

prune104.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	130	6	136
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	130	7	137

Error

0.0b

Counts

137 → 7

Compiler

Compiled 1577 to 313 computations (80.2% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
0.0b	(/.f64 a (-.f64 z t))
6.9b	(/.f64 y (/.f64 a (-.f64 z t)))

rewrite315.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

249×	`times-frac_binary64_7245`
179×	`add-sqr-sqrt_binary64_7261`
172×	`*-un-lft-identity_binary64_7239`
120×	`add-cube-cbrt_binary64_7274`
68×	`cancel-sign-sub-inv_binary64_7205`
28×	`difference-of-squares_binary64_7208`
26×	`distribute-lft-out--_binary64_7191` `associate-/r*_binary64_7183`
18×	`associate-/r/_binary64_7185`
10×	`add-exp-log_binary64_7277` `add-cbrt-cube_binary64_7275` `div-inv_binary64_7236`
9×	`flip3--_binary64_7243` `flip--_binary64_7214`
6×	`associate-/l*_binary64_7184`
5×	`add-log-exp_binary64_7278`
4×	`div-exp_binary64_7290` `cbrt-undiv_binary64_7273`
3×	`pow1_binary64_7300`
2×	`frac-2neg_binary64_7250` `clear-num_binary64_7238`
1×	`diff-log_binary64_7331` `sub-neg_binary64_7232`

Counts

3 → 222

Calls

3 calls:

37.0ms	(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
14.0ms	(/.f64 y (/.f64 a (-.f64 z t)))
5.0ms	(/.f64 a (-.f64 z t))

Compiler

Compiled 4636 to 1117 computations (75.9% saved)

series806.0ms (8.9%)

Error

0.0b

Counts

3 → 69

Calls

3 calls:

393.0ms	(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
211.0ms	(/.f64 y (/.f64 a (-.f64 z t)))
158.0ms	(/.f64 a (-.f64 z t))

Compiler

Compiled 2143 to 1410 computations (34.2% saved)

simplify109.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

291 → 291

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4989	5538
1	4989	5538

prune215.0ms (2.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	289	2	291
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	291	7	298

Error

Counts

298 → 7

Compiler

Compiled 4647 to 779 computations (83.2% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
5.8b	(*.f64 (/.f64 y a) (-.f64 z t))

rewrite75.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

21×	`add-sqr-sqrt_binary64_7261`
16×	`*-un-lft-identity_binary64_7239`
14×	`add-cube-cbrt_binary64_7274`
13×	`cancel-sign-sub-inv_binary64_7205` `associate-l_binary64_7180`
10×	`times-frac_binary64_7245`
8×	`distribute-rgt-in_binary64_7189` `distribute-lft-in_binary64_7188` `associate--r+_binary64_7175`
7×	`add-exp-log_binary64_7277` `add-cbrt-cube_binary64_7275`
5×	`sub-neg_binary64_7232` `associate-r_binary64_7179`
4×	`pow1_binary64_7300` `add-log-exp_binary64_7278`
3×	`flip3--_binary64_7243` `flip--_binary64_7214`
2×	`prod-exp_binary64_7288` `cbrt-unprod_binary64_7272` `frac-times_binary64_7249` `unswap-sqr_binary64_7207` `associate-*r/_binary64_7181`
1×	`pow-prod-down_binary64_7310` `div-exp_binary64_7290` `cbrt-undiv_binary64_7273` `associate-l/_binary64_7182` `div-inv_binary64_7236` `difference-of-squares_binary64_7208` `distribute-lft-out--_binary64_7191` `-commutative_binary64_7170` `diff-log_binary64_7331`

Counts

2 → 66

Calls

2 calls:

10.0ms	(*.f64 (/.f64 y a) (-.f64 z t))
4.0ms	(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))

Compiler

Compiled 1148 to 292 computations (74.6% saved)

series679.0ms (7.5%)

Error

Counts

2 → 48

Calls

2 calls:

411.0ms	(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
244.0ms	(*.f64 (/.f64 y a) (-.f64 z t))

Compiler

Compiled 1261 to 792 computations (37.2% saved)

simplify63.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5457	1433

prune70.0ms (0.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	114	7	121

Error

Counts

121 → 7

Compiler

Compiled 1435 to 284 computations (80.2% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (.f64 (.f64 y (-.f64 z t)) (/.f64 1 a)))
0.0b	(*.f64 y (-.f64 z t))
7.4b	(.f64 (.f64 y (-.f64 z t)) (/.f64 1 a))

rewrite109.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

27×	`add-exp-log_binary64_7277`
18×	`add-sqr-sqrt_binary64_7261` `associate-r_binary64_7179`
17×	`add-cbrt-cube_binary64_7275`
16×	`*-un-lft-identity_binary64_7239`
14×	`add-cube-cbrt_binary64_7274`
13×	`prod-exp_binary64_7288`
10×	`pow1_binary64_7300`
9×	`times-frac_binary64_7245`
7×	`cbrt-unprod_binary64_7272` `associate-*r/_binary64_7181` `cancel-sign-sub-inv_binary64_7205`
5×	`add-log-exp_binary64_7278`
4×	`pow-prod-down_binary64_7310` `div-exp_binary64_7290` `flip3--_binary64_7243` `flip--_binary64_7214` `associate-l_binary64_7180` `distribute-rgt-in_binary64_7189` `distribute-lft-in_binary64_7188`
3×	`sub-neg_binary64_7232`
2×	`1-exp_binary64_7283` `rec-exp_binary64_7289` `cbrt-undiv_binary64_7273` `frac-times_binary64_7249` `associate-l/_binary64_7182` `-commutative_binary64_7170`
1×	`un-div-inv_binary64_7237` `div-inv_binary64_7236` `unswap-sqr_binary64_7207` `difference-of-squares_binary64_7208` `distribute-lft-out--_binary64_7191` `diff-log_binary64_7331`

Counts

3 → 84

Calls

3 calls:

11.0ms	(.f64 (.f64 y (-.f64 z t)) (/.f64 1 a))
7.0ms	(*.f64 y (-.f64 z t))
4.0ms	(-.f64 x (.f64 (.f64 y (-.f64 z t)) (/.f64 1 a)))

Compiler

Compiled 1580 to 682 computations (56.8% saved)

series748.0ms (8.3%)

Error

Counts

3 → 63

Calls

3 calls:

388.0ms	(-.f64 x (.f64 (.f64 y (-.f64 z t)) (/.f64 1 a)))
220.0ms	(.f64 (.f64 y (-.f64 z t)) (/.f64 1 a))
108.0ms	(*.f64 y (-.f64 z t))

Compiler

Compiled 1714 to 1134 computations (33.8% saved)

simplify48.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5224	1647

prune109.0ms (1.2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	147	7	154

Error

Counts

154 → 7

Compiler

Compiled 1788 to 487 computations (72.8% saved)

regimes1.0s (11.5%)

Accuracy

Total 0.4b remaining (99.2%)

Threshold costs 0.4b (99.2%)

Compiler

Compiled 6325 to 5212 computations (17.6% saved)

bsearch2.0ms (0%)

Compiler: Compiled 5 to 7 computations (-40% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	319	66
1	319	66

end0.0ms (0%)

sample1.8s (20.4%)

Algorithm

1×

intervals

Results

339.0ms	8000×	body	128	valid
102.0ms	2523×	body	128	invalid

Compiler

Compiled 765 to 611 computations (20.1% saved)

Details

analyze1.6s (17.3%)

sample35.0ms (0.4%)

simplify58.0ms (0.6%)

prune3.0ms (0%)

localize13.0ms (0.1%)

rewrite109.0ms (1.2%)

series817.0ms (9%)

simplify83.0ms (0.9%)

prune104.0ms (1.1%)

localize10.0ms (0.1%)

rewrite315.0ms (3.5%)

series806.0ms (8.9%)

simplify109.0ms (1.2%)

prune215.0ms (2.4%)

localize7.0ms (0.1%)

rewrite75.0ms (0.8%)

series679.0ms (7.5%)

simplify63.0ms (0.7%)

prune70.0ms (0.8%)

localize8.0ms (0.1%)

rewrite109.0ms (1.2%)

series748.0ms (8.3%)

simplify48.0ms (0.5%)

prune109.0ms (1.2%)

regimes1.0s (11.5%)

bsearch2.0ms (0%)

simplify10.0ms (0.1%)

end0.0ms (0%)

sample1.8s (20.4%)

Profiling