Details

analyze849.0ms (7.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5124	175
0	4	4
1	4	4

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
3.1%	96.7%	0.2%	7
6.2%	93.6%	0.2%	8
8.6%	91.2%	0.2%	9
28.1%	71.7%	0.2%	10
31%	68.8%	0.2%	11
40.5%	59.3%	0.2%	12
49.6%	50.2%	0.2%	13
59%	40.8%	0.2%	14

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample25.0ms (0.2%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
0.0ms	11×	body	128	invalid

Compiler

Compiled 35 to 31 computations (11.4% saved)

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4892	25
1	4892	25

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

5.6b

Counts

2 → 1

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 t z) x)
0.0b	(+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x)))
0.0b	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
8.4b	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))

rewrite161.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

5.5b

Rules

45×	`*-un-lft-identity_binary64_19515`
25×	`times-frac_binary64_19521`
23×	`add-cube-cbrt_binary64_19550` `add-sqr-sqrt_binary64_19537`
11×	`distribute-lft-out_binary64_19466`
8×	`add-exp-log_binary64_19553` `add-log-exp_binary64_19554` `add-cbrt-cube_binary64_19551`
7×	`associate-/l_binary64_19460` `associate-/r_binary64_19459`
4×	`pow1_binary64_19576` `div-sub_binary64_19520` `associate-/l/_binary64_19462` `associate-/r/_binary64_19461`
3×	`flip3--_binary64_19519` `flip--_binary64_19490` `flip3-+_binary64_19518` `flip-+_binary64_19489` `cancel-sign-sub-inv_binary64_19481`
2×	`div-exp_binary64_19566` `cbrt-undiv_binary64_19549` `frac-2neg_binary64_19526` `clear-num_binary64_19514` `div-inv_binary64_19512` `associate-+r-_binary64_19449`
1×	`sum-log_binary64_19606` `+-commutative_binary64_19445` `diff-log_binary64_19607` `sub-neg_binary64_19508`

Counts

4 → 100

Calls

4 calls:

16.0ms	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
11.0ms	(+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x)))
9.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))
4.0ms	(-.f64 (*.f64 t z) x)

Compiler

Compiled 2967 to 756 computations (74.5% saved)

series1.1s (9.9%)

Error

1.0b

Counts

4 → 94

Calls

4 calls:

405.0ms	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
264.0ms	(+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x)))
235.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))
89.0ms	(-.f64 (*.f64 t z) x)

Compiler

Compiled 5346 to 3431 computations (35.8% saved)

simplify93.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5412	4586

prune174.0ms (1.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	189	5	194
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	190	5	195

Error

0.0b

Counts

195 → 5

Compiler

Compiled 4516 to 1290 computations (71.4% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 t z) x)
0.0b	(.f64 (-.f64 (.f64 t z) x) (+.f64 x 1))
2.4b	(/.f64 x (-.f64 (*.f64 t z) x))
12.9b	(/.f64 (.f64 z y) (.f64 (-.f64 (*.f64 t z) x) (+.f64 x 1)))

rewrite161.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`add-exp-log_binary64_19553` `add-cbrt-cube_binary64_19551`
17×	`add-sqr-sqrt_binary64_19537` `*-un-lft-identity_binary64_19515`
15×	`add-cube-cbrt_binary64_19550`
10×	`times-frac_binary64_19521` `associate-/r/_binary64_19461`
8×	`flip3--_binary64_19519` `frac-times_binary64_19525` `flip--_binary64_19490`
6×	`pow1_binary64_19576` `add-log-exp_binary64_19554` `flip3-+_binary64_19518` `flip-+_binary64_19489`
5×	`prod-exp_binary64_19564` `div-exp_binary64_19566` `cbrt-undiv_binary64_19549` `cbrt-unprod_binary64_19548`
4×	`associate-l/_binary64_19458` `associate-r/_binary64_19457` `associate-/l_binary64_19460` `associate-/r_binary64_19459` `associate-r_binary64_19455`
3×	`associate-l_binary64_19456` `cancel-sign-sub-inv_binary64_19481`
2×	`frac-2neg_binary64_19526` `clear-num_binary64_19514` `div-inv_binary64_19512`
1×	`pow-prod-down_binary64_19586` `unswap-sqr_binary64_19483` `distribute-rgt-in_binary64_19465` `distribute-lft-in_binary64_19464` `distribute-lft-out_binary64_19466` `*-commutative_binary64_19446` `diff-log_binary64_19607` `sub-neg_binary64_19508`

Counts

4 → 101

Calls

4 calls:

11.0ms	(/.f64 (.f64 z y) (.f64 (-.f64 (*.f64 t z) x) (+.f64 x 1)))
9.0ms	(.f64 (-.f64 (.f64 t z) x) (+.f64 x 1))
6.0ms	(/.f64 x (-.f64 (*.f64 t z) x))
4.0ms	(-.f64 (*.f64 t z) x)

Compiler

Compiled 3823 to 1294 computations (66.2% saved)

series804.0ms (7.4%)

Error

0.0b

Counts

4 → 73

Calls

4 calls:

388.0ms	(/.f64 (.f64 z y) (.f64 (-.f64 (*.f64 t z) x) (+.f64 x 1)))
181.0ms	(.f64 (-.f64 (.f64 t z) x) (+.f64 x 1))
89.0ms	(-.f64 (*.f64 t z) x)
77.0ms	(/.f64 x (-.f64 (*.f64 t z) x))

Compiler

Compiled 6125 to 3509 computations (42.7% saved)

simplify80.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4976	2808
1	4976	2808

prune174.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	173	1	174
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	174	5	179

Error

Counts

179 → 5

Compiler

Compiled 5567 to 1840 computations (66.9% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 z t) x)
2.4b	(/.f64 x (-.f64 (*.f64 t z) x))
2.7b	(/.f64 (-.f64 (*.f64 z t) x) (/.f64 y (+.f64 x 1)))
7.8b	(/.f64 z (/.f64 (-.f64 (*.f64 z t) x) (/.f64 y (+.f64 x 1))))

rewrite782.0ms (7.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

648×	`times-frac_binary64_19521`
392×	`*-un-lft-identity_binary64_19515`
296×	`add-cube-cbrt_binary64_19550` `add-sqr-sqrt_binary64_19537`
80×	`associate-/r*_binary64_19459`
48×	`distribute-lft-out_binary64_19466`
40×	`associate-/r/_binary64_19461`
23×	`div-inv_binary64_19512`
20×	`add-exp-log_binary64_19553` `add-cbrt-cube_binary64_19551`
16×	`flip3-+_binary64_19518` `flip-+_binary64_19489`
10×	`div-exp_binary64_19566` `cbrt-undiv_binary64_19549`
9×	`associate-/l*_binary64_19460`
6×	`add-log-exp_binary64_19554`
4×	`pow1_binary64_19576`
3×	`frac-2neg_binary64_19526` `clear-num_binary64_19514` `flip3--_binary64_19519` `flip--_binary64_19490` `cancel-sign-sub-inv_binary64_19481`
2×	`associate-/l/_binary64_19462`
1×	`div-sub_binary64_19520` `diff-log_binary64_19607` `sub-neg_binary64_19508`

Counts

4 → 392

Calls

4 calls:

23.0ms	(/.f64 z (/.f64 (-.f64 (*.f64 z t) x) (/.f64 y (+.f64 x 1))))
12.0ms	(/.f64 (-.f64 (*.f64 z t) x) (/.f64 y (+.f64 x 1)))
6.0ms	(/.f64 x (-.f64 (*.f64 t z) x))
4.0ms	(-.f64 (*.f64 z t) x)

Compiler

Compiled 17205 to 6296 computations (63.4% saved)

series996.0ms (9.2%)

Error

Counts

4 → 76

Calls

4 calls:

402.0ms	(/.f64 z (/.f64 (-.f64 (*.f64 z t) x) (/.f64 y (+.f64 x 1))))
344.0ms	(/.f64 (-.f64 (*.f64 z t) x) (/.f64 y (+.f64 x 1)))
98.0ms	(-.f64 (*.f64 z t) x)
73.0ms	(/.f64 x (-.f64 (*.f64 t z) x))

Compiler

Compiled 6596 to 3796 computations (42.4% saved)

simplify181.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

468 → 468

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5008	14923

prune682.0ms (6.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	468	0	468
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	468	5	473

Error

Counts

473 → 5

Compiler

Compiled 18509 to 6187 computations (66.6% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x))))
0.0b	(/.f64 (+.f64 x (/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x)))) (+.f64 x 1))
0.2b	(/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x)))
8.4b	(/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x))

rewrite290.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

110×	`times-frac_binary64_19521`
97×	`*-un-lft-identity_binary64_19515`
67×	`add-cube-cbrt_binary64_19550` `add-sqr-sqrt_binary64_19537`
22×	`associate-/r*_binary64_19459`
19×	`add-exp-log_binary64_19553`
18×	`distribute-lft-out_binary64_19466`
13×	`add-cbrt-cube_binary64_19551` `div-inv_binary64_19512` `associate-/r/_binary64_19461`
11×	`associate-/l*_binary64_19460`
9×	`div-exp_binary64_19566`
6×	`add-log-exp_binary64_19554` `flip3--_binary64_19519` `flip--_binary64_19490`
5×	`pow1_binary64_19576` `cbrt-undiv_binary64_19549`
4×	`associate-/l/_binary64_19462`
3×	`frac-2neg_binary64_19526` `clear-num_binary64_19514` `flip3-+_binary64_19518` `flip-+_binary64_19489`
2×	`1-exp_binary64_19559` `rec-exp_binary64_19565`
1×	`div-sub_binary64_19520` `inv-pow_binary64_19600` `pow-flip_binary64_19589` `sum-log_binary64_19606` `+-commutative_binary64_19445`

Counts

4 → 174

Calls

4 calls:

25.0ms	(/.f64 (+.f64 x (/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x)))) (+.f64 x 1))
20.0ms	(+.f64 x (/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x))))
12.0ms	(/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x)))
10.0ms	(/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x))

Compiler

Compiled 5854 to 1970 computations (66.3% saved)

series1.3s (12%)

Error

Counts

4 → 104

Calls

4 calls:

408.0ms	(/.f64 (+.f64 x (/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x)))) (+.f64 x 1))
287.0ms	(/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x))
283.0ms	(+.f64 x (/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x))))
241.0ms	(/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x)))

Compiler

Compiled 6651 to 4373 computations (34.3% saved)

simplify121.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

278 → 278

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5317	7839

prune248.0ms (2.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	278	0	278
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	278	5	283

Error

Counts

283 → 5

Compiler

Compiled 7286 to 2053 computations (71.8% saved)

regimes693.0ms (6.4%)

Accuracy

Total 2.6b remaining (99.7%)

Threshold costs 0b (0%)

Compiler

Compiled 7542 to 5129 computations (32% saved)

bsearch4.0ms (0%)

Compiler: Compiled 17 to 13 computations (23.5% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	98	153
1	98	153

end0.0ms (0%)

sample1.8s (16.7%)

Algorithm

1×

intervals

Results

386.0ms	8000×	body	128	valid
16.0ms	354×	body	128	invalid

Compiler

Compiled 1617 to 1084 computations (33% saved)

Details

analyze849.0ms (7.8%)

sample25.0ms (0.2%)

simplify64.0ms (0.6%)

prune3.0ms (0%)

localize16.0ms (0.1%)

rewrite161.0ms (1.5%)

series1.1s (9.9%)

simplify93.0ms (0.9%)

prune174.0ms (1.6%)

localize16.0ms (0.1%)

rewrite161.0ms (1.5%)

series804.0ms (7.4%)

simplify80.0ms (0.7%)

prune174.0ms (1.6%)

localize16.0ms (0.1%)

rewrite782.0ms (7.2%)

series996.0ms (9.2%)

simplify181.0ms (1.7%)

prune682.0ms (6.3%)

localize20.0ms (0.2%)

rewrite290.0ms (2.7%)

series1.3s (12%)

simplify121.0ms (1.1%)

prune248.0ms (2.3%)

regimes693.0ms (6.4%)

bsearch4.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.8s (16.7%)

Profiling