Details

analyze949.0ms (16.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2700	70
1	2700	70
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
25%	74.9%	0.2%	7
25%	74.9%	0.2%	8
34.3%	65.5%	0.2%	9
39%	60.8%	0.2%	10
48.3%	51.5%	0.2%	11
53.7%	46.1%	0.2%	12
63.1%	36.7%	0.2%	13
64%	35.6%	0.4%	14

Symmetry

sort(z t)

Compiler

Compiled 8 to 8 computations (0% saved)

sample26.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	11×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	126	10
1	126	10

prune3.0ms (0.1%)

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

1.5b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

1.5b	(/.f64 x (-.f64 y (*.f64 z t)))

rewrite38.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

1.4b

Rules

9×	`add-cube-cbrt_binary64_19550` `add-sqr-sqrt_binary64_19537` `times-frac_binary64_19521` `*-un-lft-identity_binary64_19515`
3×	`add-exp-log_binary64_19553` `add-cbrt-cube_binary64_19551` `associate-/l_binary64_19460` `associate-/r_binary64_19459`
2×	`associate-/r/_binary64_19461`
1×	`pow1_binary64_19576` `div-exp_binary64_19566` `add-log-exp_binary64_19554` `cbrt-undiv_binary64_19549` `frac-2neg_binary64_19526` `clear-num_binary64_19514` `div-inv_binary64_19512` `flip3--_binary64_19519` `flip--_binary64_19490`

Counts

1 → 29

Calls

1 calls:

5.0ms

(/.f64 x (-.f64 y (*.f64 z t)))

Compiler

Compiled 469 to 107 computations (77.2% saved)

series170.0ms (3%)

Error

1.5b

Counts

1 → 21

Calls

1 calls:

158.0ms

(/.f64 x (-.f64 y (*.f64 z t)))

Compiler

Compiled 709 to 508 computations (28.3% saved)

simplify61.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4993	758
1	4993	758

prune45.0ms (0.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	43	7	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	8	51

Error

1.4b

Counts

51 → 8

Compiler

Compiled 722 to 207 computations (71.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.8b	(/.f64 1 (/.f64 (-.f64 y (*.f64 t z)) x))
1.5b	(/.f64 (-.f64 y (*.f64 t z)) x)

rewrite110.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

1.4b

Rules

84×	`times-frac_binary64_19521`
52×	`add-cube-cbrt_binary64_19550` `add-sqr-sqrt_binary64_19537` `*-un-lft-identity_binary64_19515`
16×	`associate-/r*_binary64_19459`
15×	`add-exp-log_binary64_19553`
9×	`add-cbrt-cube_binary64_19551`
8×	`div-exp_binary64_19566`
6×	`div-inv_binary64_19512` `associate-/l*_binary64_19460`
4×	`cbrt-undiv_binary64_19549`
3×	`pow1_binary64_19576`
2×	`add-log-exp_binary64_19554` `frac-2neg_binary64_19526` `clear-num_binary64_19514` `associate-/l/_binary64_19462` `1-exp_binary64_19559` `rec-exp_binary64_19565`
1×	`div-sub_binary64_19520` `flip3--_binary64_19519` `flip--_binary64_19490` `inv-pow_binary64_19600` `pow-flip_binary64_19589` `associate-/r/_binary64_19461`

Counts

2 → 106

Calls

2 calls:

7.0ms	(/.f64 1 (/.f64 (-.f64 y (*.f64 t z)) x))
5.0ms	(/.f64 (-.f64 y (*.f64 t z)) x)

Compiler

Compiled 2120 to 665 computations (68.6% saved)

series382.0ms (6.8%)

Error

1.4b

Counts

2 → 42

Calls

2 calls:

194.0ms	(/.f64 (-.f64 y (*.f64 t z)) x)
167.0ms	(/.f64 1 (/.f64 (-.f64 y (*.f64 t z)) x))

Compiler

Compiled 1223 to 884 computations (27.7% saved)

simplify96.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4959	2620
1	4959	2620

prune102.0ms (1.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	147	1	148
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	149	7	156

Error

1.4b

Counts

156 → 7

Compiler

Compiled 2240 to 553 computations (75.3% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.8b	(/.f64 (cbrt.f64 x) (-.f64 y (*.f64 t z)))
1.1b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (-.f64 y (*.f64 t z))))

rewrite125.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

1.4b

Rules

39×	`add-sqr-sqrt_binary64_19537`
38×	`times-frac_binary64_19521`
34×	`add-cube-cbrt_binary64_19550` `*-un-lft-identity_binary64_19515`
28×	`cbrt-prod_binary64_19546`
24×	`associate-r_binary64_19455`
18×	`add-exp-log_binary64_19553`
11×	`add-cbrt-cube_binary64_19551`
9×	`pow1_binary64_19576`
6×	`prod-exp_binary64_19564` `cbrt-unprod_binary64_19548` `associate-/l*_binary64_19460`
4×	`add-log-exp_binary64_19554` `associate-/r/_binary64_19461`
3×	`pow-prod-down_binary64_19586` `div-exp_binary64_19566` `cbrt-undiv_binary64_19549` `unswap-sqr_binary64_19483` `associate-/r*_binary64_19459`
2×	`div-inv_binary64_19512` `flip3--_binary64_19519` `flip--_binary64_19490` `pow1/3_binary64_19597`
1×	`associate-r/_binary64_19457` `associate-l_binary64_19456` `-commutative_binary64_19446` `frac-2neg_binary64_19526` `clear-num_binary64_19514`

Counts

4 → 110

Calls

4 calls:

20.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (-.f64 y (*.f64 t z))))
5.0ms	(/.f64 (cbrt.f64 x) (-.f64 y (*.f64 t z)))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 2593 to 390 computations (85% saved)

series615.0ms (10.9%)

Error

1.4b

Counts

4 → 44

Calls

4 calls:

266.0ms	(/.f64 (cbrt.f64 x) (-.f64 y (*.f64 t z)))
173.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (-.f64 y (*.f64 t z))))
73.0ms	(cbrt.f64 x)
70.0ms	(cbrt.f64 x)

Compiler

Compiled 2096 to 1494 computations (28.7% saved)

simplify73.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5315	2388

prune105.0ms (1.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	154	7	161

Error

1.4b

Counts

161 → 7

Compiler

Compiled 2788 to 520 computations (81.3% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 x (sqrt.f64 (-.f64 y (*.f64 t z))))
0.2b	(.f64 (/.f64 1 (sqrt.f64 (-.f64 y (.f64 t z)))) (/.f64 x (sqrt.f64 (-.f64 y (*.f64 t z)))))
2.2b	(sqrt.f64 (-.f64 y (*.f64 t z)))
2.2b	(sqrt.f64 (-.f64 y (*.f64 t z)))

rewrite200.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

1.4b

Rules

95×	`add-sqr-sqrt_binary64_19537`
76×	`times-frac_binary64_19521`
53×	`*-un-lft-identity_binary64_19515`
47×	`add-cube-cbrt_binary64_19550` `sqrt-prod_binary64_19531`
28×	`add-exp-log_binary64_19553`
24×	`associate-l_binary64_19456` `associate-r_binary64_19455`
18×	`add-cbrt-cube_binary64_19551`
15×	`unswap-sqr_binary64_19483`
10×	`sqrt-div_binary64_19532`
9×	`div-exp_binary64_19566`
8×	`pow1_binary64_19576` `prod-exp_binary64_19564`
6×	`associate-/r/_binary64_19461` `associate-/r*_binary64_19459`
5×	`flip3--_binary64_19519` `flip--_binary64_19490` `cbrt-undiv_binary64_19549`
4×	`add-log-exp_binary64_19554` `cbrt-unprod_binary64_19548`
3×	`div-inv_binary64_19512` `associate-/l*_binary64_19460`
2×	`pow1/2_binary64_19595` `sqrt-pow1_binary64_19533` `rem-sqrt-square_binary64_19528` `1-exp_binary64_19559` `rec-exp_binary64_19565`
1×	`pow-prod-down_binary64_19586` `frac-times_binary64_19525` `associate-l/_binary64_19458` `associate-r/_binary64_19457` `*-commutative_binary64_19446` `frac-2neg_binary64_19526` `clear-num_binary64_19514`

Counts

4 → 158

Calls

4 calls:

25.0ms	(.f64 (/.f64 1 (sqrt.f64 (-.f64 y (.f64 t z)))) (/.f64 x (sqrt.f64 (-.f64 y (*.f64 t z)))))
6.0ms	(/.f64 x (sqrt.f64 (-.f64 y (*.f64 t z))))
3.0ms	(sqrt.f64 (-.f64 y (*.f64 t z)))
3.0ms	(sqrt.f64 (-.f64 y (*.f64 t z)))

Compiler

Compiled 4640 to 1023 computations (78% saved)

series571.0ms (10.1%)

Error

1.4b

Counts

4 → 63

Calls

4 calls:

203.0ms	(/.f64 x (sqrt.f64 (-.f64 y (*.f64 t z))))
158.0ms	(.f64 (/.f64 1 (sqrt.f64 (-.f64 y (.f64 t z)))) (/.f64 x (sqrt.f64 (-.f64 y (*.f64 t z)))))
88.0ms	(sqrt.f64 (-.f64 y (*.f64 t z)))
80.0ms	(sqrt.f64 (-.f64 y (*.f64 t z)))

Compiler

Compiled 3426 to 2265 computations (33.9% saved)

simplify106.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

221 → 221

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5200	4165

prune166.0ms (2.9%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	221	0	221
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	221	7	228

Error

1.4b

Counts

228 → 7

Compiler

Compiled 4694 to 1037 computations (77.9% saved)

regimes472.0ms (8.4%)

Accuracy

Total 0.1b remaining (3%)

Threshold costs 0.1b (3%)

Compiler

Compiled 5155 to 3337 computations (35.3% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	10
1	35	10

Removed

((sort z t))

Compiler

Compiled 14 to 14 computations (0% saved)

end0.0ms (0%)

sample1.2s (20.6%)

Algorithm

1×

intervals

Results

238.0ms	8000×	body	128	valid
9.0ms	346×	body	128	invalid

Compiler

Compiled 783 to 507 computations (35.2% saved)

Details

analyze949.0ms (16.9%)

sample26.0ms (0.5%)

simplify13.0ms (0.2%)

prune3.0ms (0.1%)

localize6.0ms (0.1%)

rewrite38.0ms (0.7%)

series170.0ms (3%)

simplify61.0ms (1.1%)

prune45.0ms (0.8%)

localize7.0ms (0.1%)

rewrite110.0ms (2%)

series382.0ms (6.8%)

simplify96.0ms (1.7%)

prune102.0ms (1.8%)

localize9.0ms (0.2%)

rewrite125.0ms (2.2%)

series615.0ms (10.9%)

simplify73.0ms (1.3%)

prune105.0ms (1.9%)

localize12.0ms (0.2%)

rewrite200.0ms (3.6%)

series571.0ms (10.1%)

simplify106.0ms (1.9%)

prune166.0ms (2.9%)

regimes472.0ms (8.4%)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

end0.0ms (0%)

sample1.2s (20.6%)

Profiling