Details

analyze1.3s (12.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5331	140
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
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
3.1%	71.7%	25.1%	9
4.7%	69.8%	25.5%	10
7%	66.9%	26.1%	11
10.9%	61.5%	27.6%	12
11.1%	47%	41.9%	13
12.8%	44.4%	42.8%	14

Symmetry

(sort y z)

Compiler

Compiled 20 to 20 computations (0% saved)

sample78.0ms (0.8%)

Algorithm

1×

intervals

Results

21.0ms	318×	body	128	nan
18.0ms	256×	body	128	valid

Compiler

Compiled 39 to 43 computations (-10.3% saved)

simplify108.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	5398	20

prune5.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

1.1b

Counts

2 → 1

Compiler

Compiled 26 to 26 computations (0% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (sqrt.f64 t) z)
1.0b	(.f64 1/3 (acos.f64 (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) (*.f64 y 18)))))
1.7b	(/.f64 (/.f64 (sqrt.f64 t) z) (*.f64 y 18))
4.9b	(.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) (.f64 y 18)))

rewrite384.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

1.0b

Rules

116×	`times-frac_binary64_18839`
66×	`add-sqr-sqrt_binary64_18855`
62×	`add-cube-cbrt_binary64_18868` `*-un-lft-identity_binary64_18833`
39×	`sqrt-prod_binary64_18849`
38×	`add-exp-log_binary64_18871` `add-cbrt-cube_binary64_18869`
29×	`associate-r_binary64_18773`
28×	`associate-/l*_binary64_18778`
13×	`div-exp_binary64_18884` `cbrt-undiv_binary64_18867`
10×	`prod-exp_binary64_18882` `cbrt-unprod_binary64_18866`
8×	`pow1_binary64_18894`
6×	`associate-l_binary64_18774` `div-inv_binary64_18830`
4×	`add-log-exp_binary64_18872` `associate-/r*_binary64_18777`
2×	`pow-prod-down_binary64_18904` `unswap-sqr_binary64_18801` `*-commutative_binary64_18764` `frac-2neg_binary64_18844` `clear-num_binary64_18832`
1×	`associate-*r/_binary64_18775` `associate-/l/_binary64_18780`

Counts

4 → 171

Calls

4 calls:

16.0ms	(.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) (.f64 y 18)))
9.0ms	(/.f64 (/.f64 (sqrt.f64 t) z) (*.f64 y 18))
4.0ms	(/.f64 (sqrt.f64 t) z)
4.0ms	(.f64 1/3 (acos.f64 (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) (*.f64 y 18)))))

Compiler

Compiled 3341 to 1623 computations (51.4% saved)

series870.0ms (8.5%)

Error

1.0b

Counts

4 → 39

Calls

4 calls:

366.0ms	(.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) (.f64 y 18)))
220.0ms	(/.f64 (/.f64 (sqrt.f64 t) z) (*.f64 y 18))
196.0ms	(.f64 1/3 (acos.f64 (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) (*.f64 y 18)))))
81.0ms	(/.f64 (sqrt.f64 t) z)

Compiler

Compiled 1195 to 1154 computations (3.4% saved)

simplify100.0ms (1%)

Algorithm

1×	egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5004	3395

prune237.0ms (2.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	209	1	210
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	209	2	211

Error

1.0b

Counts

211 → 2

Compiler

Compiled 2470 to 1128 computations (54.3% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 1/18 z)
1.0b	(.f64 1/3 (acos.f64 (.f64 x (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 1/18 z)))))
3.2b	(*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 1/18 z))
4.9b	(.f64 x (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 1/18 z)))

rewrite292.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

1.0b

Rules

56×	`add-sqr-sqrt_binary64_18855`
43×	`times-frac_binary64_18839`
38×	`add-exp-log_binary64_18871` `add-cbrt-cube_binary64_18869`
35×	`add-cube-cbrt_binary64_18868` `*-un-lft-identity_binary64_18833`
28×	`associate-l_binary64_18774`
17×	`associate-r_binary64_18773`
14×	`prod-exp_binary64_18882` `cbrt-unprod_binary64_18866`
13×	`pow1_binary64_18894`
11×	`sqrt-prod_binary64_18849`
9×	`div-exp_binary64_18884` `cbrt-undiv_binary64_18867`
7×	`unswap-sqr_binary64_18801`
5×	`pow-prod-down_binary64_18904` `associate-*r/_binary64_18775`
4×	`add-log-exp_binary64_18872`
3×	`-commutative_binary64_18764` `div-inv_binary64_18830` `associate-/l_binary64_18778` `associate-/r*_binary64_18777`
2×	`frac-times_binary64_18843` `associate-*l/_binary64_18776`
1×	`frac-2neg_binary64_18844` `clear-num_binary64_18832`

Counts

4 → 133

Calls

4 calls:

15.0ms	(*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 1/18 z))
11.0ms	(.f64 x (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 1/18 z)))
3.0ms	(.f64 1/3 (acos.f64 (.f64 x (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 1/18 z)))))
3.0ms	(/.f64 1/18 z)

Compiler

Compiled 2598 to 1417 computations (45.5% saved)

series818.0ms (8%)

Error

1.0b

Counts

4 → 36

Calls

4 calls:

371.0ms	(.f64 x (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 1/18 z)))
215.0ms	(*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 1/18 z))
198.0ms	(.f64 1/3 (acos.f64 (.f64 x (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 1/18 z)))))
28.0ms	(/.f64 1/18 z)

Compiler

Compiled 1079 to 1043 computations (3.3% saved)

simplify105.0ms (1%)

Algorithm

1×	egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4976	2644
1	4976	2644

prune186.0ms (1.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	169	2	171

Error

1.0b

Counts

171 → 2

Compiler

Compiled 2004 to 1054 computations (47.4% saved)

regimes3.6s (35.4%)

Accuracy

Total 0.0b remaining (0.2%)

Threshold costs 0.0b (0.2%)

Compiler

Compiled 33308 to 28811 computations (13.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	48
1	23	48

end10.0ms (0.1%)

Remove: (sort y z)
Compiler: Compiled 87 to 57 computations (34.5% saved)

sample2.1s (20.6%)

Algorithm

1×

intervals

Results

684.0ms	10143×	body	128	nan
584.0ms	8000×	body	128	valid

Compiler

Compiled 95 to 101 computations (-6.3% saved)

Details

analyze1.3s (12.5%)

sample78.0ms (0.8%)

simplify108.0ms (1.1%)

prune5.0ms (0.1%)

localize17.0ms (0.2%)

rewrite384.0ms (3.7%)

series870.0ms (8.5%)

simplify100.0ms (1%)

prune237.0ms (2.3%)

localize14.0ms (0.1%)

rewrite292.0ms (2.8%)

series818.0ms (8%)

simplify105.0ms (1%)

prune186.0ms (1.8%)

regimes3.6s (35.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end10.0ms (0.1%)

sample2.1s (20.6%)

Profiling